البلاطات

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‫ﻨﻘﺎﺒﺔ ﺍﻟﻤﻬﻨﺩﺴﻴﻥ‬

‫ﻓﻲ ﺍﻟﺠﻤﻬﻭﺭﻴﺔ ﺍﻟﻌﺭﺒﻴﺔ ﺍﻟﺴﻭﺭﻴﺔ‬

‫ﻟﺠﻨﺔ ﺍﻟﺘﺩﺭﻴﺏ ﻭﺍﻟﺘﺄﻫﻴل ﺍﻟﻤﺭﻜﺯﻴﺔ‬ ‫ﺍﻟﻔﺭﻴﻕ ﺍﻟﻭﻁﻨﻲ ﻟﻠﺘﺄﻫﻴل ﻭﺍﻟﺘﺩﺭﻴﺏ ﻟﻼﺨﺘﺼﺎﺹ ﺍﻹﻨﺸﺎﺌﻲ‬

‫ﺩﻭﺭﺓ ﺘﺄﻫﻴﻠﻴﺔ ﻓﻲ ﺍﻟﺩﺭﺍﺴﺎﺕ ﺍﻹﻨﺸﺎﺌﻴﺔ‬ ‫ﻭﻹﻋﺩﺍﺩ ﺍﻟﻤﻬﻨﺩﺴﻴﻥ ﺍﻟﻤﺘﻘﺩﻤﻴﻥ ﺇﻟﻰ ﻤﺭﺘﺒﺔ ﺍﻟﺭﺃﻱ ﺒﺎﻟﺩﺭﺍﺴﺎﺕ‬ ‫ﻓﻲ ﺍﻻﺨﺘﺼﺎﺹ ﺍﻹﻨﺸﺎﺌﻲ‬ ‫‪2010‬‬

‫ﻤﺤﺎﻀﺭﺓ ‪ :‬ﺍﻟﺒﻼﻁﺎﺕ ﺍﻟﻤﺴﺘﻭﻴﺔ‬ ‫ﺇﻋﺩﺍﺩ‬

‫ﺍﻟﺩﻜﺘﻭﺭ ﺍﻟﻤﻬﻨﺩﺱ ﻤـﺎﻫـﺭ ﻗـﺭﻩ‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﻓﻬﺮﺱ ﺍﶈﺘﻮﻳﺎﺕ‬

‫ﻓﻬﺮﺱ ﺍﶈﺘﻮﻳﺎﺕ‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﺍﻟﻘﺴﻢ ﺍﻟﻨﻈﺮﻱ (‬ ‫ﺍﳌﻮﺿﻮﻉ‬

‫ﺗﻌﺎﺭﻳﻒ ﻭﺍﺷﺘﺮﺍﻃﺎﺕ‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬ ‫ﻣﻠﺤﻖ ‪A‬‬ ‫ﻣﻠﺤﻖ ‪B‬‬ ‫ﺍﳌﺮﺍﺟﻊ‬

‫ﺍﻟﺼﻔﺤﺔ‬ ‫‪1‬‬ ‫‪19‬‬ ‫‪51‬‬ ‫‪75‬‬ ‫‪93‬‬ ‫‪101‬‬ ‫‪109‬‬ ‫‪123‬‬ ‫‪135‬‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﺍﻟﻘﺴﻢ ﺍﻟﻌﻤﻠﻲ (‬ ‫ﺍﳌﻮﺿﻮﻉ‬

‫ﻣﺴﺄﻟﺔ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬ ‫ﻣﺴﺄﻟﺔ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬ ‫ﻣﺴﺄﻟﺔ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬ ‫ﻣﺴﺄﻟﺔ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬ ‫ﻣﺴﺄﻟﺔ ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬ ‫ﺍﳌﺮﺍﺟﻊ‬ ‫ﺟﺪﻭﻝ ﻣﻘﺎﻃﻊ ﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ‬

‫ﺍﻟﺼﻔﺤﺔ‬ ‫‪1‬‬ ‫‪15‬‬ ‫‪27‬‬ ‫‪39‬‬ ‫‪51‬‬ ‫‪65‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬


‫ﻤﺤﺎﻀﺭﺓ ﺍﻟﺒﻼﻁﺎﺕ ﺍﻟﻤﺴﺘﻭﻴﺔ‬ ‫) ﺍﻟﻘﺴﻡ ﺍﻟﻨﻅﺭﻱ (‬

‫ﺇﻋﺩﺍﺩ‬ ‫ﺍﻟﺩﻜﺘﻭﺭ ﺍﻟﻤﻬﻨﺩﺱ ﻤـﺎﻫـﺭ ﻗـﺭﻩ‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺗﻌﺎﺭﻳﻒ ﻭﺍﺷﺘﺮﺍﻃﺎﺕ‬

‫ﺍﻟﻔﺼﻞ ﺍﻷﻭﻝ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﻟﺒﻴﺘﻮﻧﻴﺔ ﺍﳌﺴﻠﺤﺔ ‪ -‬ﺗﻌﺎﺭﻳﻒ ﻭﺍﺷﺘﺮﺍﻃﺎﺕ‬ ‫‪ 1-1‬ﻣﻘﺪﻣﺔ ‪:‬‬ ‫ﺗﺴﺘﺨﺪﻡ ﺍﻟﺒﻼﻃﺎﺕ ﺍﻟﺒﻴﺘﻮﻧﻴﺔ ﺍﳌﺴﻠﺤﺔ ﰲ ﺍﳌﻨﺸﺂﺕ ﺍﳍﻨﺪﺳﻴﺔ ﻛﺄﺭﺿﻴﺎﺕ ﰲ ﺍﻷﺑﻨﻴﺔ ﺫﺍﺕ ﺍﻟﻄﻮﺍﺑﻖ ﺍﳌﺘﻜﺮﺭﺓ ﻭﺗﻜﻮﻥ‬ ‫ﻣﻬﻤﺘﻬﺎ ﲢﻤﻞ ﻭ ﻧﻘﻞ ﺍﻷﲪﺎﻝ ﺍﻟﺪﺍﺋﻤﺔ ﻭﺍﳌﺘﺤﺮﻛﺔ ﺇﱃ ﺍﻟﻌﻨﺎﺻﺮ ﺍﳊﺎﻣﻠﺔ ﺍﻷﺧﺮﻯ ﻛﺎﳉﻮﺍﺋﺰ ﻭ ﺍﳉﺪﺭﺍﻥ ﻭ ﺍﻷﻋﻤﺪﺓ ﻛﻤـﺎ‬ ‫ﺗﺴﺘﺨﺪﻡ ﻛﺄﺳﻘﻒ ﻭﺗﻜﻮﻥ ﻣﻬﻤﺘﻬﺎ ﻋﻨﺪﺋﺬ‪ ‬ﺗﻐﻄﻴﺔ ﺍﻟﻔﺮﺍﻏﺎﺕ ﺍﳌﺨﺘﻠﻔﺔ )ﻣﺪﺭﺟﺎﺕ ‪ ،‬ﺻﺎﻻﺕ ﺭﻳﺎﺿﻴﺔ ‪ ،‬ﺻﺎﻻﺕ ﺇﻧﺘـﺎﺝ ‪،‬‬ ‫ﻣﺴﺘﻮﺩﻋﺎﺕ ‪ ،‬ﳐﺎﺑﺮ ‪ (...‬ﻭﲪﺎﻳﺘﻬﺎ ﻣﻦ ﺍﻟﻮﺳﻂ ﺍﳋﺎﺭﺟﻲ ﺇﱃ ﺟﺎﻧﺐ ﲢﻤﻞ ﻭ ﻧﻘﻞ ﺍﻷﲪﺎﻝ ﺍﳋﺎﺭﺟﻴﺔ ﺍﳌﻄﺒﻘﺔ ﻋﻠﻰ ﻫـﺬﻩ‬ ‫ﺍﻷﺳﻘﻒ ﺇﱃ ﺍﻟﻌﻨﺎﺻﺮ ﺍﳊﺎﻣﻠﺔ ﺍﻷﺧﺮﻯ ‪ .‬ﻟﺬﻟﻚ ﺗﻌﺪ‪ ‬ﺍﻟﺒﻼﻃﺎﺕ ﻣﻦ ﺍﻟﻌﻨﺎﺻﺮ ﺍﳊﺎﻣﻠﺔ ﺍﻟﺮﺋﻴﺴﺔ ﰲ ﺍﳌﻨﺸﺂﺕ ﺍﳍﻨﺪﺳﻴﺔ ‪ .‬ﻭﺗﻌﺪ‪‬‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳋﺮﺳﺎﻧﻴﺔ ﺍﳌﺴﻠﺤﺔ ﺍﳌﺴﺘﻮﻳﺔ ﲟﺨﺘﻠﻒ ﺃﻧﻮﺍﻋﻬﺎ ﺍﻷﻛﺜﺮ ﺍﺳﺘﺨﺪﺍﻣﺎﹰ ﰲ ﳎﺎﻝ ﺍﳌﺒﺎﱐ ﺍﻟﺼﻨﺎﻋﻴﺔ ﻭﺍﳌﺪﻧﻴـﺔ ‪ ,‬ﻭﻳﻌـﻮﺩ‬ ‫ﺍﺳﺘﺨﺪﺍﻣﻬﺎ ﰲ ﺍﻟﺒﻨﺎﺀ ﻋﻠﻰ ﻧﻄﺎﻕ ﻭﺍﺳﻊ ﺇﱃ ﻣﺰﺍﻳﺎﻫﺎ ﺍﻟﺘﺸﻐﻴﻠﻴﺔ ﻛﺎﳌﺘﺎﻧﺔ ﻭﺍﻟﺪﳝﻮﻣﺔ ﻭﺍﻹﻗﺘﺼﺎﺩﻳﺔ ﻭﻣﻘﺎﻭﻣﺔ ﺍﳊﺮﻳـﻖ ﻭﻗﺎﺑﻠﻴـﺔ‬ ‫ﻭﺳﻬﻮﻟﺔ ﺍﻟﺘﻨﻔﻴﺬ ‪ ,‬ﺇﺿﺎﻓﺔ ﺇﱃ ﲤﺘﻌﻬﺎ ﲟﻘﺎﻭﻣﺔ ﻋﺎﻟﻴﺔ ﻟﻠﺤﻤﻮﻻﺕ ﺍﻟﺴﺘﺎﺗﻴﻜﻴﺔ ﻭﺍﻟﺪﻳﻨﺎﻣﻴﻜﻴﺔ ‪ ,‬ﻓﻬﻲ ﺗﻨﻘﻞ ﲪﻮﻻﺕ ﺍﻹﻧﺸﺎﺀ ﺇﱃ‬ ‫ﺍﳉﻮﺍﺋﺰ ﻭﺍﳉﺪﺭﺍﻥ ﻭﺍﻷﻋﻤﺪﺓ ﺍﳊﺎﻣﻠﺔ ﻭﺗﺆﻣﻦ ﺗﻐﻄﻴﺔ ﺍﻟﻘﺎﻋﺎﺕ ﻭﺍﳌﺴﺎﺣﺎﺕ ﺍﻟﻮﺍﺳﻌﺔ ﰲ ﺍﳌﻨﺸﺂﺕ ‪.‬‬ ‫ﻟﺪﻯ ﺍﺳﺘﺨﺪﺍﻡ ﺍﻟﺒﻼﻃﺎﺕ ﻛﺄﺭﺿﻴﺎﺕ ﰲ ﺍﻟﻄﻮﺍﺑﻖ ﺍﳌﺘﻜﺮﺭﺓ ﻓﻴﺠﺐ ﺃﻥ ﺗﻜﻮﻥ ﻫﺬﻩ ﺍﻟﺒﻼﻃﺎﺕ ﻣﺴـﺘﻮﻳﺔ ﻭﺃﻓﻘﻴـﺔ ‪،‬‬ ‫ﻭﻟﺪﻯ ﺍﺳﺘﺨﺪﺍﻣﻬﺎ ﻛﺄﺳﻘﻒ ﻟﺘﻐﻄﻴﺔ ﺍﻟﻘﺎﻋﺎﺕ ﻋﻠﻰ ﺍﺧﺘﻼﻑ ﻭﻇﺎﺋﻔﻬﺎ ﻓﻴﻤﻜﻦ ﺇﺿﺎﻓﺔﹰ ﺇﱃ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ﺍﻷﻓﻘﻴﺔ ﺍﺧﺘﻴﺎﺭ‬ ‫ﺃﻧﻮﺍﻉ ﻋﺪﻳﺪﺓ ﻧﺬﻛﺮ ﻣﻨﻬﺎ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ﺍﳌﺎﺋﻠﺔ ﻭﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻨﻜﺴﺮﺓ ) ﺳﻦ ﺍﳌﻨﺸﺎﺭ ( ﻛﻤﺎ ﳝﻜﻦ ﺗﻐﻄﻴـﺔ ﺍﻟﻘﺎﻋـﺎﺕ‬ ‫ﺑﺴﻘﻮﻑ ﻗﺸﺮﻳﺔ ‪.‬‬ ‫ﺳﻴﺘﻢ ﺍﻻﻗﺘﺼﺎﺭ ﻋﻠﻰ ﺩﺭﺍﺳﺔ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ﺍﻷﻓﻘﻴﺔ ﺍﻟﺘﺎﻟﻴﺔ ‪:‬‬ ‫ﺃ‪ -‬ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ‪ :‬ﻭﻫﻲ ﺑﻼﻃﺎﺕ ﻣﻠﻴﺌﺔ ﺗﺴﺘﻨﺪ ﻋﻠﻰ ﺟﺪﺭﺍﻥ ﺣﺎﻣﻠﺔ ﺃﻭ ﻋﻠﻰ ﺟﻮﺍﺋﺰ ﻣﺘﺪﻟﻴﺔ ﻛﻤﺎ ﰲ ﺍﻟﺸﻜﻞ‬ ‫‪ ،‬ﻭﺗﻌﻤﻞ ﻫﺬﻩ ﺍﻟﺒﻼﻃﺎﺕ ﲝﺴﺐ ﻃﺒﻴﻌﺔ ﺍﺳﺘﻨﺎﺩ ﺃﻃﺮﺍﻓﻬﺎ ﻭﺍﻟﻨﺴﺐ ﺍﻟﺒﻌﺪﻳﺔ ﳍﺬﻩ ﺍﻷﻃﺮﺍﻑ ﺑﺎﲡﺎﻩ ﻭﺍﺣﺪ ﺃﻭ ﺑﺎﲡﺎﻫﲔ ‪.‬‬ ‫ﻳﺼﻞ ﳎﺎﺯ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ﺇﱃ ) ‪ ( 4 m‬ﰲ ﺣﲔ ﺗﺴـﺘﺨﺪﻡ ﺍﻟﺒﻼﻃـﺎﺕ ﺍﳌﺼـﻤﺘﺔ ﺫﺍﺕ‬ ‫ﺍﻻﲡﺎﻫﲔ ﻟﺘﻐﻄﻴﺔ ﺍﻟﻐﺮﻑ ﺍﻟﱵ ﺗﺼﻞ ﳎﺎﺯﺍ‪‬ﺎ ﺇﱃ ) ‪.( 6 m‬‬ ‫) ‪(1 - 1‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪1‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺗﻌﺎﺭﻳﻒ ﻭﺍﺷﺘﺮﺍﻃﺎﺕ‬

‫ﺍﻟﺸﻜﻞ ) ‪ (1 -1‬ﺑﻼﻃﺎﺕ ﻣﺼﻤﺘﺔ‬

‫ﺏ‪ -‬ﺍﻟﺒﻼﻃﺎﺕ ﺍﻟﻔﻄﺮﻳﺔ ‪ :‬ﻭﻫﻲ ﺑﻼﻃﺎﺕ ﻣﺼﻤﺘﺔ ﺩﻭﻥ ﺟﻮﺍﺋﺰ ‪ ،‬ﺗﺴﺘﻨﺪ ﻣﺒﺎﺷﺮﺓ ﻋﻠﻰ ﺍﻷﻋﻤﺪﺓ ﺍﻟﱵ ﻏﺎﻟﺒﺎﹰ ﻣﺎ ﺗﺰﻭﺩ ‪‬ﺎﻳﺎ‪‬ﺎ‬ ‫ﺍﻟﻌﻠﻮﻳﺔ ﺑﺘﻴﺠﺎﻥ ﻟﺘﺠﻨﺐ ﺛﻘﺐ ﺍﻟﺒﻼﻃﺎﺕ ‪ .‬ﻭﺇﺫﺍ ﱂ ﻳﻜﻦ ﺍﻟﺘﺎﺝ ﻛﺎﻓﻴﺎﹰ ﺗﺘﻢ ﺯﻳﺎﺩﺓ ﲰﺎﻛﺔ ﺍﻟﺒﻼﻃﺔ ﻋﻠﻰ ﺷﻜﻞ ﺳﻘﻮﻁ ﰲ‬ ‫ﻣﻨﻄﻘﺔ ﺍﻻﺳﺘﻨﺎﺩ ﻛﻤﺎ ﰲ ﺍﻟﺸﻜﻞ )‪ . (2-1‬ﺃﻣﺎ ﺍﻷﺑﻌﺎﺩ ﺍﻟﺸﺎﺋﻌﺔ ‪‬ﺎﺯﺍﺕ ﺍﻟﺒﻼﻃﺎﺕ ﺍﻟﻔﻄﺮﻳﺔ ﻓﺘﺘﺮﺍﻭﺡ ﺑﲔ )‪ (6 m‬ﻭ‬ ‫)‪ (9 m‬ﻭﺗﺴﺘﺨﺪﻡ ﻣﺜﻞ ﻫﺬﻩ ﺍﻟﺒﻼﻃﺎﺕ ﰲ ﺍﳌﺴﺘﻮﺩﻋﺎﺕ ﻭﺍﳋﺰﺍﻧﺎﺕ ﻭﺍﻟﱪﺍﺩﺍﺕ ﻭﳏﻄﺎﺕ ﺍﳌﺘﺮﻭ ﻭﻏﲑﻫﺎ ﻣﻦ ﺍﳌﻨﺸﺂﺕ‬ ‫ﺍﳌﻌﺮﺿﺔ ﳊﻤﻮﻻﺕ ﻋﺎﻟﻴﺔ ‪ .‬ﻭﺑﺎﳌﻘﺎﺭﻧﺔ ﻣﻊ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﳒﺪ ﺃﻥ ﺍﻟﺒﻼﻃﺎﺕ ﺍﻟﻔﻄﺮﻳﺔ ﻭﺑﺴﺒﺐ ﻏﻴﺎﺏ ﺍﳉـﻮﺍﺋﺰ‬ ‫ﺍﳌﺘﺪﻟﻴﺔ ﺗﺴﻤﺢ ﺑﺴﻬﻮﻟﺔ ﺣﺮﻛﺔ ﺍﳍﻮﺍﺀ ﰲ ﺍﻟﻘﺴﻢ ﺍﻟﻌﻠﻮﻱ ﻣﻦ ﺍﻟﻘﺎﻋﺎﺕ ‪ ،‬ﻭﺗﻀﻔﻲ ﲨﺎﻻﹰ ﻣﻌﻤﺎﺭﻳﺎﹰ ﻟﻠﻘﺎﻋﺎﺕ ﻭﺍﳌﺪﺍﺧﻞ‪.‬‬

‫ﺍﻟﺸﻜﻞ )‪ ( 2 – 1‬ﺑﻼﻃﺎﺕ ﻓﻄﺮﻳﺔ ﺫﺍﺕ ﺃﻋﻤﺪﺓ ﻣﺰﻭﺩﺓ ﺑﺘﻴﺠﺎﻥ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪2‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺗﻌﺎﺭﻳﻒ ﻭﺍﺷﺘﺮﺍﻃﺎﺕ‬

‫ﺝ‪ -‬ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﻭﻫﻲ ﺑﻼﻃﺎﺕ ﻏﲑ ﻣﺼﻤﺘﺔ ﺣﻴﺚ ﲢﺘﻮﻱ ﻋﻠﻰ ﻓﺮﺍﻏﺎﺕ ﺑﺎﺳﺘﺨﺪﺍﻡ ﻗﻮﺍﻟﺐ ﺩﺍﺋﻤﺔ ) ﻣﺜﻞ ﻗﺮﻣﻴـﺪ‬ ‫ﺍﳍﻮﺭﺩﻱ ( ‪ ,‬ﺃﻭ ﻗﻮﺍﻟﺐ ﻣﺆﻗﺘﺔ ‪ .‬ﻭﻣﻦ ﺍﳌﻤﻜﻦ‪ ،‬ﺗﺒﻌﺎﹰ ﻻﺳﺘﻨﺎﺩ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﻭﺍﻟﻨﺴﺐ ﺍﻟﺒﻌﺪﻳﺔ ﻷﺿـﻼﻋﻬﺎ‪ ،‬ﺃﻥ‬ ‫ﺗﻜﻮﻥ ﻋﺎﻣﻠﺔ ﺑﺎﲡﺎﻩ ﻭﺍﺣﺪ ﺃﻭ ﺑﺎﲡﺎﻫﲔ ‪ .‬ﻛﻤﺎ ﳝﻜﻦ ﺃﻥ ﺗﺴﺘﻨﺪ ﻋﻠﻰ ﺟﺪﺭﺍﻥ ﺣﺎﻣﻠﺔ ‪ ،‬ﺃﻭ ﻋﻠﻰ ﺟﻮﺍﺋﺰ ﺑـﺎﺭﺯﺓ ‪ ,‬ﺃﻭ‬ ‫ﻋﻠﻰ ﺟﻮﺍﺋﺰ ﳐﻔﻴﺔ ﳍﺎ ﲰﻚ ﺍﻟﺒﻼﻃﺔ ﺫﺍﺗﻪ ﻛﻤﺎ ﰲ ﺍﻟﺸﻜﻞ )‪ . (3-1‬ﻳﺼﻞ ﳎﺎﺯ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬ ‫ﺇﱃ ) ‪ ( 7 m‬ﻭﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ ﺇﱃ ) ‪. ( 12 m‬‬

‫ﺍﻟﺸﻜﻞ )‪ ( 3 – 1‬ﺑﻼﻃﺎﺕ ﻣﻔﺮﻏﺔ ﺑﺎﲡﺎﻩ ﻭﺍﺣﺪ ﺫﺍﺕ ﻗﻮﺍﻟﺐ ﺩﺍﺋﻤﺔ ) ﻫﻮﺭﺩﻱ (‬

‫ﺩ‪ -‬ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ ‪ :‬ﻭﻫﻲ ﺑﻼﻃﺎﺕ ﻣﺼﻤﺘﺔ ﺑﺎﲡﺎﻫﲔ ﺗﺴﺘﻨﺪ ﻋﻠﻰ ﺟﻮﺍﺋﺰ ﻣﺘﺼﺎﻟﺒﺔ ﺑﺎﻻﲡﺎﻫﲔ ﻭﺍﻟـﱵ‬ ‫ﺗﺴﺘﻨﺪ ﺑﺪﻭﺭﻫﺎ ﻋﻠﻰ ﺟﻮﺍﺋﺰ ﻣﺘﺪﻟﻴﺔ ﺃﻭ ﺟﺪﺭﺍﻥ ﺣﺎﻣﻠﺔ ﻛﻤﺎ ﰲ ﺍﻟﺸﻜﻞ )‪ . (4-1‬ﺗﺸﺒﻪ ﺍﻟﺒﻼﻃـﺎﺕ ﺫﺍﺕ ﺍﳉـﻮﺍﺋﺰ‬ ‫ﺍﳌﺘﺼﺎﻟﺒﺔ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺑﺎﲡﺎﻫﲔ ﺫﺍﺕ ﺍﻟﻘﻮﺍﻟﺐ ﺍﳌﺆﻗﺘﺔ ﻏﲑ ﺃﻥ ﺍﻟﺘﺒﺎﻋﺪﺍﺕ ﺑﲔ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ ﺑﺎﻻﲡﺎﻫﲔ ﺗﺰﻳﺪ‬ ‫ﻋﻦ ﺍﳌﺘﺮ ﺍﻟﻮﺍﺣﺪ ‪ ،‬ﺑﻴﻨﻤﺎ ﺍﻟﺘﺒﺎﻋﺪﺍﺕ ﺑﲔ ﺃﻋﺼﺎﺏ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﻻ ﻳﺘﻌﺪﻯ ﺍﳌﺘﺮ ﺍﻟﻮﺍﺣﺪ ‪ .‬ﺗﺴﺘﺨﺪﻡ ﻣﺜﻞ ﻫـﺬﻩ‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﻟﺘﻐﻄﻴﺔ ﻗﺎﻋﺎﺕ ﺃﺑﻌﺎﺩﻫﺎ ﺗﺘﺮﺍﻭﺡ ﺑﲔ ) ‪ ( 8 m‬ﻭﺣﱴ ) ‪ ، ( 12 m‬ﻭﻳﻔﻀﻞ ﺃﻥ ﺗﻜﻮﻥ ﺍﻟﻘﺎﻋﺎﺕ ﻣﺮﺑﻌﺔ ﺃﻭ‬ ‫ﻧﺴﺒﺔ ﺑﻌﺪﻳﻬﺎ ﻻﻳﺰﻳﺪ ﻋﻦ ‪. 1,2‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 4 – 1‬ﺑﻼﻃﺎﺕ ﺫﺍﺕ ﺟﻮﺍﺋﺰ ﻣﺘﺼﺎﻟﺒﺔ‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪3‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺗﻌﺎﺭﻳﻒ ﻭﺍﺷﺘﺮﺍﻃﺎﺕ‬

‫‪ 2-1‬ﺗﻌﺎﺭﻳﻒ ﻭﺍﺷﺘﺮﺍﻃﺎﺕ ﻋﺎﻣﺔ ﻟﻠﺒﻼﻃﺎﺕ ‪:‬‬ ‫‪ 1–2–1‬ﺍﻻﺭﺗﻔﺎﻉ ﺍﻟﻔﻌﺎﻝ ‪:‬‬ ‫ﻳﻌﺮﻑ ﺍﻻﺭﺗﻔﺎﻉ ﺍﻟﻔﻌﺎﻝ ﻟﻠﺒﻼﻃﺎﺕ ﺑﺄﻧﻪ ﺍﳌﺴﺎﻓﺔ ﺑﲔ ﻣﺮﻛﺰ ﻗﻀﺒﺎﻥ ﺗﺴﻠﻴﺢ ﺍﻟﺸﺪ ﻭﺣﺎﻓﺔ ﺍﻟﻘﻄﺎﻉ ﺍﻷﻛﺜﺮ ﺍﻧﻀﻐﺎﻃﺎﹰ )‬ ‫ﺃﺑﻌﺪ ﻟﻴﻒ ﳊﺎﻓﺔ ﻣﻨﻄﻘﺔ ﺍﻟﻀﻐﻂ ( ‪ .‬ﻭﺍﻟﺸﻜﻞ )‪ (5-1‬ﻳﺒﲔ ﺗﺴﻠﻴﺢ ﺍﻟﺒﻼﻃﺔ ﰲ ﻣﻘﻄﻊ ﻋﺮﺿﻲ ﰲ ﺍﻟﺒﻼﻃﺔ ﻋﻠﻰ ﺷﻜﻞ ﺷﺒﻜﺔ‬ ‫ﺑﺎﻻﲡﺎﻫﲔ ﻭﻳﺒﲔ ﺍﻻﺭﺗﻔﺎﻉ ﺍﻟﻔﻌﺎﻝ ‪ d1‬ﻻﲡﺎﻩ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺮﺋﻴﺴﻲ ﺍﻟﺴﻔﻠﻲ ﻭ ‪ d2‬ﻻﲡﺎﻩ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺜﺎﻧﻮﻱ ) ﺍﻟﻌﺮﺿـﻲ(‬ ‫ﺍﳌﺘﻮﺿﻊ ﻓﻮﻕ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺮﺋﻴﺴﻲ ‪.‬‬

‫‪a d1‬‬

‫‪d2‬‬ ‫ﺍﻟﺸﻜﻞ ) ‪ ( 5 – 1‬ﺍﻻﺭﺗﻔﺎﻉ ﺍﻟﻔﻌﺎﻝ‬

‫‪ 2–2-1‬ﺍ‪‬ﺎﺯ ) ﺍﻟﺒﺤﺮ ( ﺍﻟﻔﻌﺎﻝ ‪:‬‬ ‫ﻳﺘﻌﻠﻖ ﺍ‪‬ﺎﺯ ) ﺍﻟﺒﺤﺮ ( ﺍﻟﻔﻌﺎﻝ ﻟﻠﺒﻼﻃﺎﺕ ) ﻭﺍﳉﻮﺍﺋﺰ ﻭﺍﻷﻋﺼﺎﺏ ( ﺑﻌﻮﺍﻣﻞ ﻋﺪﺓ ﻣﻨﻬﺎ ﺑﺮﻭﺯ ﺍﻟﻌﻨﺼﺮ ﺍﳊﺎﻣﻞ ﺑﺎﳌﻘﺎﺭﻧﺔ‬ ‫ﻣﻊ ﲰﻚ ﺍﻟﺒﻼﻃﺔ ‪ ،‬ﺍﻟﻌﻨﺼﺮ ﺍﳊﺎﻣﻞ ﻣﺼﺒﻮﺏ ﻣﺴﺘﻤﺮﺍﹰ ) ﻣﻴﻠﻴﺜﻴﺎﹰ ( ﻣﻊ ﺍﻟﺒﻼﻃﺔ ﺃﻭ ﻏﲑ ﻣﺼﺒﻮﺏ ﻣﺴﺘﻤﺮﺍﹰ ﻣـﻊ ﺍﻟﺒﻼﻃـﺔ ‪،‬‬ ‫ﺍﳉﻤﻠﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻟﻠﺒﻼﻃﺔ ﺣﻴﺚ ﻫﻨﺎﻙ ﺑﻼﻃﺎﺕ ﺫﺍﺕ ﺍﺳﺘﻨﺎﺩ ﺑﺴﻴﻂ ﺃﻭ ﻣﺴﺘﻤﺮ ﺃﻭ ﻇﻔﺮﻳﺔ ‪.‬‬ ‫ﺗﻌﻄﻲ ﺍﳉﺪﺍﻭﻝ ﻣﻦ )‪ (1-1‬ﻭﺣﱴ )‪ (6-1‬ﻗﻴﻢ ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌﺎﻝ ﺣﺴﺐ ﻛﻞ ﺣﺎﻟﺔ ﻣﻦ ﺣﺎﻻﺕ ﺗﻮﺍﺟـﺪ ﺍﻟﺒﻼﻃـﺎﺕ ﺃﻭ‬ ‫ﺍﳉﻮﺍﺋﺰ ﺃﻭ ﺍﻷﻋﺼﺎﺏ ‪.‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪4‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺗﻌﺎﺭﻳﻒ ﻭﺍﺷﺘﺮﺍﻃﺎﺕ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﺭﺗﻔﺎﻉ ﺍﻟﻌﻨﺼﺮ ﺍﶈﻤﻮﻝ‬

‫ﺟﺎﺋﺰ ﺳﺎﻗﻂ ﻻ ﻳﻘﻞ ﺍﺭﺗﻔﺎﻋﻪ ﻋﻦ ﻣﺜﻠﻲ‬

‫ﺟﺪﺍﺭ‬

‫ﻋﻤﻮﺩ‬

‫ﻧﻮﻉ ﺍﳌﺴﻨﺪ‬

‫‪Lo‬‬ ‫‪L‬‬

‫اﻟﻤﺴ ﻨﺪ ﺟ ﺎﺋﺰ ﺳ ﺎﻗﻂ‬

‫) ﻣﻴﻠﻴﺜﻴﺎﹰ (‬

‫ﻣﺼﺒﻮﺏ ﻣﺴﺘﻤﺮﺍﹰ‬

‫ﺻﺐ ﺍﻟﻌﻨﺼﺮ‬

‫‪ :‬ﺍﻻﺭﺗﻔﺎﻉ ﺍﻟﻔﻌﺎﻝ ‪.‬‬

‫‪ :‬ﺍﳌﺴﺎﻓﺔ ﺍﳊﺮﺓ ﺑﲔ ﺍﳌﺴﻨﺪﻳﻦ ‪.‬‬

‫ﻋﻨﺼ ﺮ ﻣﺤﻤ ﻮل‬

‫‪d‬‬

‫‪L0‬‬

‫‪L‬‬

‫‪ :‬ﺍﳌﺴﺎﻓﺔ ﺑﲔ ﳏﻮﺭﻱ ﺍﳌﺴﻨﺪﻳﻦ ‪.‬‬

‫ﺃﺻﻐﺮ ﺍﻟﻘﻴﻢ‬

‫) ‪( L ; L0 + d ; 1,05 . L0‬‬

‫ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌﺎﻝ‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( 1 – 1‬ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌﺎﻝ ﻟﻠﺠﻮﺍﺋﺰ ﻭﺍﻷﻋﺼﺎﺏ ﻭﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﻻﺳﺘﻨﺎﺩ ﺍﻟﺒﺴﻴﻂ ﻭﺍﳌﺴﺘﻤﺮ – ﺍﳊﺎﻟﺔ ﺍﻷﻭﱃ‬

‫‪>t t‬‬ ‫اﻟﻤﺴ ﻨﺪ ﻋﻤ ﻮد أو ﺟ ﺪار ﻣﺼ ﺒﻮب ﻣ ﻊ‬ ‫اﻟﻌﻨﺼ ﺮ اﻟﻤﺤﻤ ﻮل‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬

‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬

‫‪5‬‬

‫‪d‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺗﻌﺎﺭﻳﻒ ﻭﺍﺷﺘﺮﺍﻃﺎﺕ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﻌﻨﺼﺮ ﺍﶈﻤﻮﻝ‬

‫ﺟﺎﺋﺰ ﺳﺎﻗﻂ ﻳﻘﻞ ﺍﺭﺗﻔﺎﻋﻪ ﻋﻦ ﻣﺜﻠﻲ ﺍﺭﺗﻔﺎﻉ‬

‫) ﻣﻴﻠﻴﺜﻴﺎﹰ (‬

‫ﻣﺼﺒﻮﺏ ﻣﺴﺘﻤﺮﺍﹰ‬

‫ﺟﺎﺋﺰ ﺳﺎﻗﻂ‬

‫ﺟﺪﺍﺭ‬

‫ﻋﻤﻮﺩ‬

‫ﻧﻮﻉ ﺍﳌﺴﻨﺪ‬

‫‪L‬‬ ‫اﻟﻤﺴ ﻨﺪ ﺟ ﺎﺋﺰ ﺳ ﺎﻗﻂ‬ ‫أو ﻣﺨﻔ ﻲ‬

‫) ﻣﻴﻠﻴﺜﻴﺎﹰ (‬

‫ﻏﲑ ﻣﺼﺒﻮﺏ ﻣﺴﺘﻤﺮﺍﹰ‬

‫ﺻﺐ ﺍﻟﻌﻨﺼﺮ‬

‫‪<t t‬‬

‫اﻟﻤﺴ ﻨﺪ ﻋﻤ ﻮد أو ﺟ ﺪار ﻏ ﯿﺮ‬ ‫ﻣﺼ ﺒﻮب ﻣ ﻊ اﻟﻌﻨﺼ ﺮ اﻟﻤﺤﻤ ﻮل‬

‫ﻋﻨﺼ ﺮ ﻣﺤﻤ ﻮل‬

‫‪ : L‬ﺍﳌﺴﺎﻓﺔ ﺑﲔ ﳏﻮﺭﻱ ﺍﳌﺴﻨﺪﻳﻦ‬

‫‪L‬‬

‫ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌﺎﻝ‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( 2 – 1‬ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌﺎﻝ ﻟﻠﺠﻮﺍﺋﺰ ﻭﺍﻷﻋﺼﺎﺏ ﻭﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﻻﺳﺘﻨﺎﺩ ﺍﻟﺒﺴﻴﻂ ﻭﺍﳌﺴﺘﻤﺮ – ﺍﳊﺎﻟﺔ ﺍﻟﺜﺎﻧﻴﺔ‬

‫‪d‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪6‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺗﻌﺎﺭﻳﻒ ﻭﺍﺷﺘﺮﺍﻃﺎﺕ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫اﻟﻤﺴ ﻨﺪ ﻋﻤ ﻮد أو ﺟ ﺪار‬ ‫ﻣﺼ ﺒﻮب ﻣﺴ ﺘﻤﺮاً‬

‫‪L‬‬

‫ﻋﻨﺼ ﺮ ﻣﺤﻤ ﻮل‬

‫ﺍﻟﻌﻨﺼﺮ ﺍﶈﻤﻮﻝ‬

‫ﺟﺎﺋﺰ ﺳﺎﻗﻂ ﻻ ﻳﻘﻞ ﺍﺭﺗﻔﺎﻋﻪ ﻋﻦ ﻣﺜﻠﻲ ﺍﺭﺗﻔﺎﻉ‬

‫ﺟﺪﺍﺭ‬

‫ﻋﻤﻮﺩ ﻋﺮﺿﻪ ﻻ ﻳﻘﻞ ﻋﻦ ﻋﺮﺽ ﺍﻟﻌﻨﺼﺮ ﺍﶈﻤﻮﻝ‬

‫ﻧﻮﻉ ﺍﳌﺴﻨﺪ‬

‫ﺟ ﺎﺋﺰ ﺳ ﺎﻗﻂ‬ ‫ﺘﻤﺮﻣﯿﻠﯿﺜﯿﺎً‬ ‫ﻣﺴ‬

‫‪L‬‬

‫ﻋﻨﺼ ﺮ ﻣﺤﻤ ﻮل‬

‫‪ : L‬ﺍﳌﺴﺎﻓﺔ ﻣﻦ ﺍﻟﻄﺮﻑ ﺍﳊﺮ ﺣﱴ ﻭﺟﻪ ﺍﳌﺴﻨﺪ‬

‫‪L‬‬

‫) ﻣﻴﻠﻴﺜﻴﺎﹰ (‬

‫ﻣﺼﺒﻮﺏ ﻣﺴﺘﻤﺮﺍﹰ‬

‫ﺻﺐ ﺍﻟﻌﻨﺼﺮ‬ ‫ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌﺎﻝ‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( 3 – 1‬ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌﺎﻝ ﻟﻠﺠﻮﺍﺋﺰ ﻭﺍﻷﻋﺼﺎﺏ ﻭﺍﻟﺒﻼﻃﺎﺕ ﺍﻟﻈﻔﺮﻳﺔ ‪ -‬ﺍﳊﺎﻟﺔ ﺍﻷﻭﱃ‬

‫‪>t t‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪7‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺗﻌﺎﺭﻳﻒ ﻭﺍﺷﺘﺮﺍﻃﺎﺕ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺟ ﺎﺋﺰ ﺳ ﺎﻗﻂ أو ﻣﺨﻔ ﻲ‬ ‫ﺘﻤﺮﻣﯿﻠﯿﺜﯿﺎً‬ ‫ﻣﺴ‬

‫‪L‬‬

‫) ﻣﻴﻠﻴﺜﻴﺎﹰ (‬

‫ﻣﺼﺒﻮﺏ ﻣﺴﺘﻤﺮﺍﹰ‬

‫ﻋﻨﺼ ﺮ ﻣﺤﻤ ﻮل‬

‫ﺍﻟﻌﻨﺼﺮ ﺍﶈﻤﻮﻝ‬

‫ﺟﺎﺋﺰ ﺳﺎﻗﻂ ﻳﻘﻞ ﺍﺭﺗﻔﺎﻋﻪ ﻋﻦ ﻣﺜﻠﻲ ﺍﺭﺗﻔﺎﻉ‬

‫ﻧﻮﻉ ﺍﳌﺴﻨﺪ‬ ‫ﺻﺐ ﺍﻟﻌﻨﺼﺮ‬

‫‪ : L‬ﺍﳌﺴﺎﻓﺔ ﻣﻦ ﺍﻟﻄﺮﻑ ﺍﳊﺮ ﺣﱴ ﳏﻮﺭ ﺍﳌﺴﻨﺪ‬

‫‪L‬‬

‫ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌﺎﻝ‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( 4 – 1‬ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌﺎﻝ ﻟﻠﺠﻮﺍﺋﺰ ﻭﺍﻷﻋﺼﺎﺏ ﻭﺍﻟﺒﻼﻃﺎﺕ ﺍﻟﻈﻔﺮﻳﺔ ‪ -‬ﺍﳊﺎﻟﺔ ﺍﻟﺜﺎﻧﻴﺔ‬

‫‪<t t‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪8‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺗﻌﺎﺭﻳﻒ ﻭﺍﺷﺘﺮﺍﻃﺎﺕ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫‪L‬‬

‫اﻟﻤﺴ ﻨﺪ ﻋﻤ ﻮد أو ﺟ ﺪار‬ ‫ﻏ ﯿﺮ ﻣﺼ ﺒﻮب ﻣﺴ ﺘﻤﺮاً‬

‫‪L‬‬

‫ﻓﺎﺻ ﻞ‬

‫) ﻣﻴﻠﻴﺜﻴﺎﹰ (‬

‫ﺟ ﺎﺋﺰ ﺳ ﺎﻗﻂ‬

‫ﻋﻨﺼ ﺮ ﻣﺤﻤ ﻮل‬

‫‪ : L‬ﺍﳌﺴﺎﻓﺔ ﻣﻦ ﺍﻟﻄﺮﻑ ﺍﳊﺮ ﺣﱴ ﳏﻮﺭ ﺍﳌﺴﻨﺪ‬

‫ﻏﲑ ﻣﺼﺒﻮﺏ ﻣﺴﺘﻤﺮﺍﹰ‬ ‫‪L‬‬

‫ﻓﺎﺻ ﻞ‬

‫ﻋﻨﺼ ﺮ ﻣﺤﻤ ﻮل‬

‫ﺟﺎﺋﺰ ﺳﺎﻗﻂ‬

‫ﺟﺪﺍﺭ‬

‫ﻋﻤﻮﺩ‬

‫ﻧﻮﻉ ﺍﳌﺴﻨﺪ‬ ‫ﺻﺐ ﺍﻟﻌﻨﺼﺮ‬ ‫ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌﺎﻝ‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( 5 – 1‬ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌﺎﻝ ﻟﻠﺠﻮﺍﺋﺰ ﻭﺍﻷﻋﺼﺎﺏ ﻭﺍﻟﺒﻼﻃﺎﺕ ﺍﻟﻈﻔﺮﻳﺔ ‪ -‬ﺍﳊﺎﻟﺔ ﺍﻟﺜﺎﻟﺜﺔ‬

‫‪>t t‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪9‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺗﻌﺎﺭﻳﻒ ﻭﺍﺷﺘﺮﺍﻃﺎﺕ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﻣﺴ ﻘﻂ أﻓﻘ ﻲ‬

‫‪L0‬‬ ‫‪L=1,1.L0‬‬ ‫اﻟﻤﺴ ﻨﺪ‬

‫‪ : L0‬ﺍﳌﺴﺎﻓﺔ ﻣﻦ ﺍﻟﻄﺮﻑ ﺍﳊﺮ ﺣﱴ ﻭﺟﻪ ﺍﳌﺴﻨﺪ‬

‫‪I‬‬

‫) ﻣﻴﻠﻴﺜﻴﺎﹰ (‬

‫ﻣﺼﺒﻮﺏ ﻣﺴﺘﻤﺮﺍﹰ‬ ‫‪L = 1,1 . L0‬‬

‫ﻋﻨﺼ ﺮ ﻣﺤﻤ ﻮل‬

‫ﻋﻦ‪ 0,7‬ﻣﻦ ﻋﺮﺽ ﺍﻟﻌﻨﺼﺮ ﺍﶈﻤﻮﻝ‬

‫ﻋﻤﻮﺩ ﻋﺮﺿﻪ ﺍﳌﺘﻌﺎﻣﺪ ﻣﻊ ﺍﻟﻌﻨﺼﺮ ﺍﶈﻤﻮﻝ ﻳﻘﻞ‬

‫ﻧﻮﻉ ﺍﳌﺴﻨﺪ‬ ‫ﺻﺐ ﺍﻟﻌﻨﺼﺮ‬ ‫ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌﺎﻝ‬

‫‪I‬‬

‫ﻣﻘﻄ ﻊ‬

‫‪L0‬‬ ‫‪L=1,1.L0‬‬

‫ﻋﻨﺼ ﺮ ﻣﺤﻤ ﻮل‬

‫‪I-I‬‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( 6 – 1‬ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌﺎﻝ ﻟﻠﺠﻮﺍﺋﺰ ﻭﺍﻷﻋﺼﺎﺏ ﻭﺍﻟﺒﻼﻃﺎﺕ ﺍﻟﻈﻔﺮﻳﺔ ‪ -‬ﺍﳊﺎﻟﺔ ﺍﻟﺮﺍﺑﻌﺔ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪10‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺗﻌﺎﺭﻳﻒ ﻭﺍﺷﺘﺮﺍﻃﺎﺕ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫‪ 3–2–1‬ﺗﻌﺪﻳﻞ ﺍﻟﻌﺰﻡ ﺍﻟﺴﺎﻟﺐ ﻋﻨﺪ ﺍﳌﺴﺎﻧﺪ ‪:‬‬ ‫ﻣﻦ ﺃﺟﻞ ﺃﺧﺬ ﻋﺮﺽ ﺍﳌﺴﺎﻧﺪ ﺑﺎﳊﺴﺒﺎﻥ ﺃﺛﻨﺎﺀ ﺍﻟﺘﺼﻤﻴﻢ ﻋﻠﻰ ﺍﻟﻌﺰﻭﻡ ﺍﻟﺴﺎﻟﺒﺔ ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺃﻭ ﺍﳉـﻮﺍﺋﺰ ‪ ,‬ﻳﻌﺘﻤـﺪ‬ ‫ﻣﺎﻳﻠﻲ ‪:‬‬ ‫§‬

‫ﻋﻨﺪﻣﺎ ﺗﻜﻮﻥ ﺍﻟﻌﺰﻭﻡ ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻤﺮﺓ ) ﺃﻭ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺴﺘﻤﺮﺓ ( ﳏﺴﻮﺑﺔ ﻋﻠﻰ ﺃﺳﺎﺱ ﺍﻷﺑﻌﺎﺩ ﺑﲔ ﳏﺎﻭﺭ ﺍﳌﺴﺎﻧﺪ‬ ‫ﳝﻜﻦ ﺗﻌﺪﻳﻞ ﻗﻴﻤﺔ ﺍﻟﻌﺰﻡ ﺍﻟﺴﺎﻟﺐ ﻋﻨﺪ ﺍﳌﺴﺎﻧﺪ ﺑﺎﻋﺘﺒﺎﺭ ﺭﺩ ﻓﻌﻞ ﻫﺬﺍ ﺍﳌﺴﻨﺪ ﻣﻮﺯﻋﺎﹰ ﻋﻠﻰ ﻋﺮﺿﻪ ﺑﺼﻮﺭﺓ ﻣﻨﺘﻈﻤﺔ ﳑﺎ‬ ‫ﻳﺴﺒﺐ ﻋﺰﻣﺎﹰ ﻣﻌﺎﻛﺴﺎﹰ ﻟﻠﻌﺰﻡ ﺍﻟﺴﺎﻟﺐ ﻓﻮﻕ ﺍﳌﺴﻨﺪ ﲝﻴﺚ ﻳﺼﺒﺢ ﺗﻐﲑ ﺍﻟﻌﺰﻡ ﻋﻠﻰ ﻋﺮﺽ ﺍﳌﺴﻨﺪ ﺑﺸﻜﻞ ﻗﻄﻊ ﻣﻜﺎﻓﺊ‬ ‫ﻛﻤﺎ ﻫﻮ ﻣﻮﺿﺢ ﺑﺎﻟﺸﻜﻞ )‪. (6-1‬‬ ‫‪Ms‬‬ ‫‪X‬‬ ‫‪2‬‬

‫‪x‬‬

‫‪Ms - X2‬‬ ‫‪X‬‬ ‫‪2‬‬

‫‪Ms - X2 = Ms - R . b8‬‬

‫‪R‬‬ ‫‪b‬‬

‫ﺍﻟﺸﻜﻞ )‪ ( 6 – 1‬ﺗﻌﺪﻳﻞ ﺍﻟﻌﺰﻡ ﺍﻟﺴﺎﻟﺐ ﻋﻨﺪ ﺍﳌﺴﺎﻧﺪ‬ ‫§‬

‫ﳛﺴﺐ ﺗﺄﺛﲑ ﻋﺮﺽ ﺍﳌﺴﻨﺪ ﻋﻠﻰ ﻗﻮﻯ ﺍﻟﻘﺺ ﻭﺭﺩﻭﺩ ﺍﻷﻓﻌﺎﻝ ﺑﺎﺳﺘﻌﻤﺎﻝ ﻗﻴﻤﺔ ﺍﻟﻌﺰﻡ ﺍﳊﺴﺎﰊ ﺍﻷﺻـﻠﻲ ‪, Ms‬‬ ‫ﻭﻳﻘﺼﺪ ﺑﺎﻟﻌﺰﻡ ﺍﳊﺴﺎﰊ ﺍﻷﺻﻠﻲ ‪ Ms‬ﺍﻟﻌﺰﻡ ﺍﻟﻨﻬﺎﺋﻲ ﺍﻟﻨﺎﺗﺞ ﻋﻦ ﺍﳊﺴﺎﺏ ﰲ ﳏﻮﺭ ﺍﳌﺴﻨﺪ ‪ ,‬ﻭﺫﻟﻚ ﺑﻌﺪ ﺇﺟـﺮﺍﺀ‬ ‫ﺇﻋﺎﺩﺓ ﺗﻮﺯﻳﻊ ﺍﻟﻌﺰﻭﻡ ﺇﻥ ﻟﺰﻡ ‪.‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪11‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺗﻌﺎﺭﻳﻒ ﻭﺍﺷﺘﺮﺍﻃﺎﺕ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫‪ 4-2-1‬ﺍﳌﻘﺎﻃﻊ ﺍﳊﺮﺟﺔ ﻟﺘﺼﻤﻴﻢ ﺍﻟﺒﻼﻃﺎﺕ ) ﺃﻭ ﺍﳉﻮﺍﺋﺰ ( ‪:‬‬ ‫ ﺑﺎﻟﻨﺴﺒﺔ ﺇﱃ ﻋﺰﻡ ﺍﻻﻧﻌﻄﺎﻑ ﺿﻤﻦ ﺍ‪‬ﺎﺯ ) ﺍﻟﺒﺤﺮ ( ‪:‬‬‫§‬

‫ﺇﺫﺍ ﻛﺎﻥ ﺍﳌﻘﻄﻊ ﺍﻟﻌﺮﺿﻲ ﺛﺎﺑﺘﺎﹰ ﻋﻠﻰ ﻃﻮﻝ ﺍ‪‬ﺎﺯ ﻓﺈﻥ ﺍﳌﻘﻄﻊ ﺍﳊﺮﺝ ﻫﻮ ﺍﳌﻘﻄﻊ ﺍﻟـﺬﻱ ﻳﻜـﻮﻥ ﻋﻨـﺪﻩ ﻋـﺰﻡ‬ ‫ﺍﻻﻧﻌﻄﺎﻑ ﺃﻋﻈﻤﻴﺎﹰ ﻛﻤﺎ ﰲ ﺍﻟﺸﻜﻞ )‪.(7-1‬‬

‫ﻣﻘﻄ ﻊ ﺣﺮج‬

‫‪t‬‬ ‫‪Mmax‬‬

‫ﺍﻟﺸﻜﻞ )‪ ( 7 – 1‬ﺍﳌﻘﻄﻊ ﺍﳊﺮﺝ ﻋﻠﻰ ﻋﺰﻡ ﺍﻻﻧﻌﻄﺎﻑ ﰲ ﺍ‪‬ﺎﺯ – ﺣﺎﻟﺔ ﻣﻘﻄﻊ ﺛﺎﺑﺖ‬

‫§‬

‫ﺃﻣﺎ ﺇﺫﺍ ﻛﺎﻥ ﺍﳌﻘﻄﻊ ﺍﻟﻌﺮﺿﻲ ﻟﻠﻌﻨﺼﺮ ﺍﳌﺪﺭﻭﺱ ﻣﺘﻐﲑﺍﹰ ﻓﻴﺆﺧﺬ ﺿﻤﻦ ﺍ‪‬ﺎﺯ ﺃﻛﺜﺮ ﻣﻦ ﻣﻘﻄﻊ ﺣﺮﺝ ‪ ،‬ﻣﺜﻞ ﺍﳌﻘﻄﻊ‬ ‫ﺍﻟﺬﻱ ﻳﻜﻮﻥ ﻋﻨﺪﻩ ﻋﺰﻡ ﺍﻹﻧﻌﻄﺎﻑ ﺃﻋﻈﻤﻴﺎﹰ ‪ ،‬ﻭﺍﳌﻘﻄﻊ ﺍﻟﺬﻱ ﻳﻜﻮﻥ ﺍﺭﺗﻔﺎﻋﻪ ﺃﺻﻐﺮﻳﺎﹰ ‪ ,‬ﻭﺍﳌﻘﻄﻊ ﺍﻟﺬﻱ ﻳﻜﻮﻥ ﻋﺰﻡ‬ ‫ﻋﻄﺎﻟﺘﻪ ﺃﺻﻐﺮﻳﺎﹰ ‪...‬ﺍﱁ ﻛﻤﺎ ﰲ ﺍﻟﺸﻜﻞ )‪. (8-1‬‬ ‫ﻣﻘ ﺎﻃﻊ ﺣﺮﺟ ﺔ‬

‫‪t1‬‬

‫‪t2‬‬

‫‪Mmax‬‬

‫‪M‬‬

‫ﺍﻟﺸﻜﻞ )‪ ( 8 – 1‬ﺍﳌﻘﺎﻃﻊ ﺍﳊﺮﺟﺔ ﻋﻠﻰ ﻋﺰﻡ ﺍﻻﻧﻌﻄﺎﻑ ﰲ ﺍ‪‬ﺎﺯ – ﺣﺎﻟﺔ ﻣﻘﻄﻊ ﻣﺘﻐﲑ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪12‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺗﻌﺎﺭﻳﻒ ﻭﺍﺷﺘﺮﺍﻃﺎﺕ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ ﺑﺎﻟﻨﺴﺒﺔ ﺇﱃ ﻋﺰﻡ ﺍﻻﻧﻌﻄﺎﻑ ﻋﻨﺪ ﺍﳌﺴﻨﺪ ‪:‬‬‫§‬

‫ﻳﻜﻮﻥ ﺍﳌﻘﻄﻊ ﺍﳊﺮﺝ ﻟﻌﺰﻡ ﺍﻻﻧﻌﻄﺎﻑ ﻋﻨﺪ ﺍﳌﺴﻨﺪ ﰲ ﺍﻟﻌﻨﺎﺻﺮ ﺍﳌﺴﺘﻤﺮﺓ ﺃﻭ ﺍﻟﻈﻔﺮﻳﺔ ﻋﻠﻰ ﻭﺟﻪ ﺍﳌﺴﻨﺪ ﺇﺫﺍ ﻛـﺎﻥ‬ ‫ﺍﳌﺴﻨﺪ ﻋﻤﻮﺩﺍﹰ ﺃﻭ ﺟﺪﺍﺭﺍﹰ ﻣﻦ ﺍﳋﺮﺳﺎﻧﺔ ﺍﳌﺴﻠﺤﺔ ﺍﳌﺼﺒﻮﺑﺔ ﺍﺳﺘﻤﺮﺍﺭﻳﺎﹰ ) ﻣﻴﻠﻴﺜﻴﺎﹰ ( ﻣﻊ ﺍﻟﻌﻨﺼﺮ ﺍﳌﺪﺭﻭﺱ ‪ ,‬ﺃﻭ ﻛﺎﻥ‬ ‫ﺍﳌﺴﻨﺪ ﺟﺎﺋﺰﺍﹰ ﻣﺘﻌﺎﻣﺪﺍﹰ ﺫﺍ ﺍﺭﺗﻔﺎﻉ ﻻ ﻳﻘﻞ ﻋﻦ ﻣﺜﻠﻲ ﺍﺭﺗﻔﺎﻉ ﺍﻟﻌﻨﺼﺮ ﺍﶈﻤﻮﻝ ﻛﻤﺎ ﰲ ﺍﻟﺸﻜﻞ )‪.(9-1‬‬ ‫‪M‬‬

‫‪M‬‬

‫ﻣﻘﻄ ﻊ ﺣ ﺮج‬

‫ﻣﻘﻄ ﻊ ﺣ ﺮج‬

‫‪>t t‬‬

‫‪t‬‬

‫اﻟﻤﺴ ﻨﺪ ﺟ ﺎﺋﺰ ﺳ ﺎﻗﻂ‬

‫اﻟﻤﺴ ﻨﺪ ﻋﻤ ﻮد أو ﺟ ﺪار ﻣﺼ ﺒﻮب ﻣ ﻊ‬ ‫اﻟﻌﻨﺼ ﺮ اﻟﻤﺤﻤ ﻮل‬

‫ﺍﻟﺸﻜﻞ )‪ ( 9 – 1‬ﺍﳌﻘﺎﻃﻊ ﺍﳊﺮﺟﺔ ﻋﻠﻰ ﻋﺰﻡ ﺍﻻﻧﻌﻄﺎﻑ ﻋﻨﺪ ﺍﳌﺴﺎﻧﺪ‬ ‫§‬

‫ﺇﺫﺍ ﻛﺎﻥ ﺍﺭﺗﻔﺎﻉ ﺍﳉﺎﺋﺰ ﺍﳊﺎﻣﻞ ﻳﻘﻞ ﻋﻦ ﻣﺜﻠﻲ ﺍﻟﻌﻨﺼﺮ ﺍﶈﻤﻮﻝ ‪ ,‬ﺃﻭ ﺇﺫﺍ ﻛﺎﻥ ﺍﳌﺴﻨﺪ ﻋﻤﻮﺩﺍﹰ ﺃﻭ ﺟﺪﺍﺭﺍﹰ ﻣﻦ ﻣﺎﺩﺓ‬ ‫ﺃﺧﺮﻯ ﻏﲑ ﺍﳋﺮﺳﺎﻧﺔ ﺍﳌﺴﻠﺤﺔ ) ﺣﺠﺮ ﺃﻭ ﺁﺟﺮ ﻣﺜﻼﹰ ( ﺃﻭ ﻛﺎﻥ ﻣﻦ ﺍﳋﺮﺳﺎﻧﺔ ﻣﻊ ﻭﺟﻮﺩ ﻓﺎﺻﻞ ﻣﻦ ﻣﺎﺩﺓ ﺃﺧﺮﻯ‬ ‫‪ ,‬ﻓﻴﻜﻮﻥ ﺍﳌﻘﻄﻊ ﺍﳊﺮﺝ ﻟﻌﺰﻡ ﺍﻹﻧﻌﻄﺎﻑ ﻋﻨﺪ ﺍﳌﺴﻨﺪ ﻟﻠﻌﻨﺼﺮ ﺍﳌﺴﺘﻤﺮ ﺃﻭ ﺍﻟﻈﻔﺮﻱ ﻋﻨﺪ ﳏﻮﺭ ﺍﳌﺴﻨﺪ ﻛﻤـﺎ ﰲ‬ ‫ﺍﻟﺸﻜﻞ )‪ ,(10-1‬ﻣﻊ ﺇﻣﻜﺎﻧﻴﺔ ﺃﺧﺬ ﺗﺄﺛﲑ ﻋﺮﺽ ﺍﳌﺴﻨﺪ ﺑﺎﳊﺴﺒﺎﻥ‪.‬‬ ‫‪M‬‬

‫‪M‬‬

‫ﻣﻘﻄ ﻊ ﺣ ﺮج‬

‫ﻣﻘﻄ ﻊ ﺣ ﺮج‬

‫‪<t t‬‬

‫‪t‬‬

‫اﻟﻤﺴ ﻨﺪ ﺟ ﺎﺋﺰ ﺳ ﺎﻗﻂ‬

‫اﻟﻤﺴ ﻨﺪ ﻋﻤ ﻮد أو ﺟ ﺪار ﻏﯿﺮﻣﺼ ﺒﻮب‬ ‫ﻣ ﻊ اﻟﻌﻨﺼ ﺮ اﻟﻤﺤﻤ ﻮل‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 10 – 1‬ﺍﳌﻘﺎﻃﻊ ﺍﳊﺮﺟﺔ ﻋﻠﻰ ﻋﺰﻡ ﺍﻻﻧﻌﻄﺎﻑ ﻋﻨﺪ ﺍﳌﺴﺎﻧﺪ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪13‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫§‬

‫ﺗﻌﺎﺭﻳﻒ ﻭﺍﺷﺘﺮﺍﻃﺎﺕ‬

‫ﺇﺫﺍ ﻛﺎﻥ ﺍﻟﻌﻨﺼﺮ ﺍﶈﻤﻮﻝ ﺫﺍ ﻣﻘﻄﻊ ﻋﺮﺿﻲ ﻣﺘﻐﲑ ﻓﻴﺆﺧﺬ ﺃﻛﺜﺮ ﻣﻦ ﻣﻘﻄﻊ ﺣﺮﺝ ﻛﻤﺎ ﰲ ﺍﻟﺸﻜﻞ‬

‫)‪.(11-1‬‬

‫ﻣﻘ ﺎﻃﻊ ﺣﺮﺟ ﺔ‬ ‫‪M‬‬

‫‪t‬‬

‫ﺍﻟﺸﻜﻞ )‪ ( 11 – 1‬ﺍﳌﻘﺎﻃﻊ ﺍﳊﺮﺟﺔ ﻋﻠﻰ ﻋﺰﻡ ﺍﻻﻧﻌﻄﺎﻑ ﻋﻨﺪ ﺍﳌﺴﺎﻧﺪ‬

‫ ﺑﺎﻟﻨﺴﺒﺔ ﺇﱃ ﺍﻟﻘﺺ ‪:‬‬‫§‬

‫ﻳﻜﻮﻥ ﺍﳌﻘﻄﻊ ﺍﳊﺮﺝ ﻋﻠﻰ ﺍﻟﻘﺺ ﻫﻮ ﺍﳌﻘﻄﻊ ﺍﻟﺬﻱ ﺗﺘﻮﻟﺪ ﻋﻨﺪﻩ ﻗﻮﺓ ﺍﻟﻘﺺ ﺍﻷﻋﻈﻤﻴﺔ ﻭﻫﻲ ﻋﻤﻮﻣﺎﹰ ﻋﻨﺪ ﻭﺟـﻮﻩ‬ ‫ﺍﳌﺴﺎﻧﺪ ‪ ،‬ﻭﰲ ﺣﺎﻟﺔ ﻭﺟﻮﺩ ﻣﺴﺎﻧﺪ ﺗﺆﺩﻱ ﺇﱃ ﺍﻧﻀﻐﺎﻁ ﺍﳊﺎﻓﺔ ﺍﻟﺴﻔﻠﻰ ﻟﻠﻌﻨﺼﺮ ﺍﶈﻤﻮﻝ ﻳﺴﻤﺢ ﺑﺎﻋﺘﺒﺎﺭ ﺍﳌﻘﻄـﻊ‬ ‫ﺍﳊﺮﺝ ﻋﻠﻰ ﺍﻟﻘﺺ ﻋﻠﻰ ﺑﻌﺪ ﻣﻘﺪﺍﺭﻩ ﻧﺼﻒ ﺍﻻﺭﺗﻔﺎﻉ ﺍﻟﻔﻌﺎﻝ ﻟﻠﻌﻨﺼﺮ ﺍﶈﻤﻮﻝ )‪ (0,5 . d‬ﻣﻦ ﺍﻟﻮﺟﻪ ﺍﻟﺪﺍﺧﻠﻲ‬ ‫ﻟﻠﻤﺴﻨﺪ ‪.‬‬

‫§‬

‫ﺇﺫﺍ ﻛﺎﻥ ﺍﳌﻘﻄﻊ ﺍﻟﻌﺮﺿﻲ ﻟﻠﻌﻨﺼﺮ ﻣﺘﻐﲑﺍﹰ ﻓﻴﺠﺐ ﺃﺧﺬ ﻣﻘﺎﻃﻊ ﺣﺮﺟﺔ ﺃﺧﺮﻯ ﻋﻠﻰ ﺍﻟﻘﺺ ﺇﺿـﺎﻓﺔﹰ ﺇﱃ ﺍﳌﻘـﺎﻃﻊ‬ ‫ﺍﳌﺬﻛﻮﺭﺓ ﰲ ﺍﻟﻔﻘﺮﺓ ﺍﻟﺴﺎﺑﻘﺔ ‪ ،‬ﻣﺜﻞ ﺍﳌﻘﻄﻊ ﺫﻱ ﺍﻻﺭﺗﻔﺎﻉ ﺍﻷﺻﻐﺮ ‪ ...‬ﺍﱁ ‪ ،‬ﻣﻊ ﻣﺮﺍﻋـﺎﺓ ﻣـﺎ ﻭﺭﺩ ﰲ ﺍﻟﻔﻘـﺮﺓ‬ ‫ﺍﻟﺴﺎﺑﻘﺔ ‪.‬‬

‫‪ 5-2-1‬ﺗﻐﲑ ﺍﳌﻘﺎﻃﻊ ﻋﻨﺪ ﺍﳌﺴﺎﻧﺪ ‪:‬‬ ‫ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﻟﱵ ﺗﺘﻐﲑ ﻓﻴﻬﺎ ﺍﳌﻘﺎﻃﻊ ﻋﻨﺪ ﺍﳌﺴﺎﻧﺪ ﳌﻘﺎﻭﻣﺔ ﻋﺰﻭﻡ ﺍﻹﻧﻌﻄﺎﻑ ﻭﻗﻮﻯ ﺍﻟﻘﺺ ‪ ،‬ﲢﺪﺩ ﺍﻷﻋﻤﺎﻕ ﺑـﺎﳋﻂ‬ ‫‪1‬‬ ‫‪3‬‬

‫ﺍﳌﻨﻘﻂ ﺍﳌﺎﺋﻞ ﻋﻠﻰ ﺍﻷﻓﻖ ﲟﻘﺪﺍﺭ ) ( ﻛﻤﺎ ﻫﻮ ﻣﻮﺿﺢ ﰲ ﺍﻟﺸﻜﻞ )‪.(12-1‬‬ ‫‪x‬‬ ‫‪x/3‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 12 – 1‬ﺗﻐﲑ ﺍﳌﻘﺎﻃﻊ ﻋﻨﺪ ﺍﳌﺴﺎﻧﺪ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪14‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺗﻌﺎﺭﻳﻒ ﻭﺍﺷﺘﺮﺍﻃﺎﺕ‬

‫‪ 6-2-1‬ﻋﺮﺽ ﻣﺴﻨﺪ ﺍﻟﺒﻼﻃﺔ ‪:‬‬ ‫ﳚﺐ ﺃﻥ ﻻ ﻳﻘﻞ ﻋﺮﺽ ﻣﺴﻨﺪ ﺍﻟﺒﻼﻃﺔ ﻋﻦ ﲰﻜﻬﺎ ‪ ,‬ﻭﲝﺪ ﺃﺩﱏ ﻣﻘﺪﺍﺭﻩ ‪ , 80 mm‬ﺇﻻ ﰲ ﺣﺎﻟﺔ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺒﻘﺔ‬ ‫ﺍﻟﺼﺐ ‪ .‬ﻭﻋﻤﻮﻣﺎﹰ ﳚﺐ ﺃﻥ ﻻ ﻳﺴﺘﻌﻤﻞ ﺟﺪﺍﺭ ﻣﻦ ﺍﻟﻘﺮﻣﻴﺪ ﺃﻭ ﺍﳊﺠﺮ ﲰﻜﻪ ﺃﻗﻞ ﻣﻦ ‪ , 150 mm‬ﺑﺼﻔﺔ ﺟﺪﺍﺭ ﺣﺎﻣﻞ ‪ ,‬ﻋﺪﺍ‬ ‫ﺍﳉﺪﺭﺍﻥ ﺍﳌﻠﻴﺌﺔ ﺍﳊﺎﻣﻠﺔ ﻟﻠﺴﻘﺎﺋﻒ ‪.‬‬ ‫‪ 3-1‬ﺍﻟﻔﺘﺤﺎﺕ ﰲ ﺍﻟﺒﻼﻃﺎﺕ‬ ‫ﺗﻨﻔﺬ ﺍﻟﻔﺘﺤﺎﺕ ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﻋﺎﺩﺓﹰ ﻟﻀﺮﻭﺭﺍﺕ ﺗﻨﻔﻴﺬﻳﺔ ﻣﻌﻤﺎﺭﻳﺔ ﺃﻭ ﺻﺤﻴﺔ ﺃﻭﻣﻴﻜﺎﻧﻴﻜﻴﺔ ﻛﻔﺘﺤـﺎﺕ ﺍﻹﻧـﺎﺭﺓ ﰲ‬ ‫ﺍﻷﺳﻘﻒ ﺃﻭ ﻓﺘﺤﺎﺕ ﺍﳌﻨﺎﻭﺭ ﺃﻭ ﻟﻀﺮﻭﺭﺍﺕ ﻣﺮﻭﺭ ﺧﻄﻮﻁ ﲤﺪﻳﺪﺍﺕ ﺍﻟﺼﺮﻑ ﺃﻭﺍﻟﺘﻬﻮﻳﺔ ﺃﻭ ﺍﻟﺘﺠﻬﻴﺰﺍﺕ ﺍﻟﺼﻨﺎﻋﻴﺔ ﰲ ﺍﳌﻌﺎﻣﻞ‬ ‫ﻭﺍﻟﺸﻜﻞ )‪ (13-1‬ﻳﱭ ﺗﻮﺯﻉ ﺍﻟﻔﺘﺤﺎﺕ ﰲ ﻛﻮﻓﺮﺍﺝ ﺑﻼﻃﺔ ﺳﻘﻒ ﺃﺣﺪ ﺍﳋﺰﺍﻧﺎﺕ ﰲ ﻣﻨﺸﺄﺓ ﺻﻨﺎﻋﻴﺔ ‪.‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 13 – 1‬ﺍﻟﻔﺘﺤﺎﺕ ﰲ ﺑﻼﻃﺔ ﺳﻘﻒ ﺧﺰﺍﻥ ﺻﻨﺎﻋﻲ‬

‫ﻳﺘﻌﻠﻖ ﺍﻟﺘﺼﺮﻑ ﺍﻹﻧﺸﺎﺋﻲ ﻟﻠﺒﻼﻃﺎﺕ ﲟﻮﻗﻊ ﻭﺷﻜﻞ ﻭ ﺍﺗﺴﺎﻉ ﺍﻟﻔﺘﺤﺔ ‪ ،‬ﻭ ﻳﻌﺪ‪ ‬ﺍﻟﺘﺼﻤﻴﻢ ﺍﻟﺪﻗﻴﻖ ﻟﻠﺒﻼﻃـﺎﺕ ﻋﻨـﺪ‬ ‫ﺍﻟﻔﺘﺤﺎﺕ ﻣﻌﻘﺪﺍﹰ ‪ ،‬ﻛﻤﺎ ﺃﻥ ﺍﻹﺟﻬﺎﺩﺍﺕ ﰲ ﺯﻭﺍﻳﺎ ﺍﻟﻔﺘﺤﺎﺕ ﺗﻜﻮﻥ ﻛﺒﲑﺓ ﺟﺪﺍﹰ ﻏﲑ ﺃ‪‬ﺎ ﺗﺘﺨﺎﻣﺪ ﺑﺴﺮﻋﺔ ﻣﻊ ﺍﻻﺑﺘﻌﺎﺩ ﻋـﻦ‬ ‫ﺗﻠﻚ ﺍﻟﺰﻭﺍﻳﺎ ‪ .‬ﺗﺘﻀﺎﺀﻝ ﻣﺜﻞ ﻫﺬﻩ ﺍﻹﺟﻬﺎﺩﺍﺕ ﰲ ﺍﻟﻔﺘﺤﺎﺕ ﺫﺍﺕ ﺍﻟﺰﻭﺍﻳﺎ ﺍﻟﺪﺍﺋﺮﻳﺔ ﻭﲣﺘﻔﻲ ‪‬ﺎﺋﻴﺎﹰ ﰲ ﺍﻟﻔﺘﺤﺎﺕ ﺍﻟﺪﺍﺋﺮﻳﺔ ‪.‬‬ ‫ﺗﺘﺸﻜﻞ ﺍﻟﺸﻘﻮﻕ ﰲ ﺯﻭﺍﻳﺎ ﺍﻟﻔﺘﺤﺎﺕ ﻣﺘﺠﻬﺔﹰ ﺇﱃ ﺩﺍﺧﻞ ﺍﻟﺒﻼﻃﺔ ﻭﻓﻖ ﻣﻨﺤﻰ ﻣﻨﺼﻒ ﺯﺍﻭﻳﺔ ﺍﻟﻔﺘﺤﺔ ﻭﳌﺴﺎﻓﺔ ﲝﺪﻭﺩ‬ ‫ﺿﻌﻒ ﲰﻚ ﺍﻟﺒﻼﻃﺔ ‪.‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪15‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺗﻌﺎﺭﻳﻒ ﻭﺍﺷﺘﺮﺍﻃﺎﺕ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﻳﺘﻢ ﻋﺎﺩﺓﹰ ﺗﻘﻮﻳﺔ ﻣﻨﻄﻘﺔ ﺗﺮﻛﺰ ﺍﻹﺟﻬﺎﺩﺍﺕ ﻋﻨﺪ ﺯﻭﺍﻳﺎ ﺍﻟﻔﺘﺤﺎﺕ ﺑﻮﺿﻊ ﺗﺴﻠﻴﺢ ﺇﺿﺎﰲ ﻣﻘﺪﺍﺭﻩ ﻧﺼـﻒ ﺍﻟﺘﺴـﻠﻴﺢ‬ ‫ﺍﳌﻘﻄﻮﻉ ﺑﺴﺒﺐ ﺍﻟﻔﺘﺤﺔ ﻭﳌﺴﺎﻓﺔ ﻣﻘﺪﺍﺭﻫﺎ ﻻ ﻳﺰﻳﺪ ﻋﻦ ﺿﻌﻒ ﲰﻚ ﺍﻟﺒﻼﻃﺔ ﻋﻠﻰ ﺟﺎﻧﱯ ﺍﻟﻔﺘﺤﺔ ﻭﳝﺘﺪ ﻫﺬﺍ ﺍﻟﺘﺴﻠﻴﺢ ﺧﺎﺭﺝ‬ ‫ﺣﺪﻭﺩ ﺍﻟﻔﺘﺤﺔ ﻭﻣﻦ ﻛﻞ ﺟﺎﻧﺐ ﳌﺴﺎﻓﺔ ﻻ ﺗﻘﻞ ﻋﻦ ﻧﺼﻒ ﺃﻃﻮﻝ ﺑﻌﺪ ﻣﻦ ﺃﺑﻌﺎﺩ ﺍﻟﻔﺘﺤﺔ ﻣﻀﺎﻓﺎﹰ ﺇﻟﻴﻪ ﻃﻮﻝ ﺍﻟﺘﺜﺒﻴﺖ ﺍﻷﺳﺎﺳﻲ‬ ‫ﺃﻭ ﻻ ﻳﻘﻞ ﻋﻦ ﺿﻌﻒ ﲰﻚ ﺍﻟﺒﻼﻃﺔ ﻣﻀﺎﻓﺎﹰ ﺇﻟﻴﻪ ‪ 1,3‬ﻣﺮﺓ ﻃﻮﻝ ﺍﻟﺘﺜﺒﻴﺖ ﺍﻷﺳﺎﺳﻲ ﻛﻤﺎ ﻫﻮ ﻣﻮﺿﺢ ﰲ ﺍﻟﺸﻜﻞ )‪. (14-1‬‬ ‫‪I‬‬ ‫‪<2t‬‬

‫‪0,5As‬‬

‫‪b‬‬

‫‪0,5As‬‬

‫‪<2t‬‬

‫‪a‬‬

‫‪As‬‬

‫‪b‬‬

‫‪I‬‬ ‫‪> 0,5(a ; b)+Lb‬‬ ‫‪or‬‬ ‫‪> 2t+1,3Lb‬‬

‫‪t‬‬

‫‪0,5As‬‬

‫‪<2t‬‬

‫‪<2t‬‬

‫‪b‬‬ ‫ﻣﻘﻄ ﻊ ‪I - I‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 14-1‬ﺗﺮﺗﻴﺒﺎﺕ ﺍﻟﺘﺴﻠﻴﺢ ﺣﻮﻝ ﺍﻟﻔﺘﺤﺎﺕ ﰲ ﺍﻟﺒﻼﻃﺎﺕ‬

‫ﻭﺳﻴﺘﻢ ﰲ ﺍﻟﻔﻘﺮﺓ ﺍﻟﺘﺎﻟﻴﺔ ﻋﺮﺽ ﻣﻌﺎﳉﺔ ﺍﻟﻔﺘﺤﺎﺕ ﻭﻓﻖ ﺍﻟﻜﻮﺩ ﺍﻟﻌﺮﰊ ﺍﻟﺴﻮﺭﻱ ‪.‬‬ ‫ﺃ‪ -‬ﺗﻌﺪ‪ ‬ﺍﻟﻔﺘﺤﺔ ﺻﻐﲑﺓ ﺇﺫﺍ ﻛﺎﻧﺖ ﻭﺣﻴﺪﺓ ‪ ,‬ﻭﻛﺎﻧﺖ ﻧﺴﺒﺘﺎ ﺑﻌﺪﻱ ﺍﻟﻔﺘﺤﺔ ﰲ ﺍﻻﲡﺎﻫﲔ ﺇﱃ ﳎﺎﺯﻱ ﺍﻟﺒﻼﻃﺔ ﰲ ﺍﻻﲡﺎﻫﲔ‬ ‫ﺍﳌﻮﺍﺯﻳﲔ ﻻ ﺗﺘﻌﺪﻯ‬

‫‪1‬‬ ‫‪4‬‬

‫‪.‬‬

‫ﻭﰲ ﺣﺎﻝ ﻭﺟﻮﺩ ﻓﺘﺤﺎﺕ ﻋﺪﺓ ﰲ ﺍﻟﺒﻼﻃﺔ ﻧﻔﺴﻬﺎ‪ ,‬ﺗﻌﺪ‪ ‬ﻫﺬﻩ ﺍﻟﻔﺘﺤﺎﺕ ﺻﻐﲑﺓ ‪ ,‬ﺇﺫﺍ ﻛﺎﻧﺖ ﻧﺴﺒﺔ ﳎﻤﻮﻉ ﺃﺑﻌﺎﺩﻫﺎ ﰲ‬ ‫ﻛﻞ ﻣﻦ ﺍﻻﲡﺎﻫﲔ ﺇﱃ ﳎﺎﺯﻱ ﺍﻟﺒﻼﻃﺔ ﺑﺎﻻﲡﺎﻫﲔ ﺍﳌﻮﺍﺯﻳﲔ ﻻ ﺗﺘﻌﺪﻯ‬

‫‪1‬‬ ‫‪4‬‬

‫‪ ,‬ﻛﻤﺎ ﻫﻮ ﻣﻮﺿﺢ ﺑﺎﻟﺸﻜﻞ‬

‫) ‪(15-1‬‬

‫‪.‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪16‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺗﻌﺎﺭﻳﻒ ﻭﺍﺷﺘﺮﺍﻃﺎﺕ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫‪b‬‬ ‫‪B‬‬

‫‪a 1‬‬ ‫≤‬ ‫‪A 4‬‬ ‫‪b 1‬‬ ‫≤‬ ‫‪B 4‬‬

‫‪a‬‬

‫‪A‬‬

‫] ‪a1 + a3 + [a 2 or a 4‬‬

‫‪b3‬‬

‫‪a2‬‬

‫‪B‬‬

‫‪1‬‬ ‫≤‬ ‫‪A‬‬ ‫‪4‬‬ ‫‪b 4 +b1 or b 2 or b 3  1‬‬ ‫≤‬ ‫‪B‬‬ ‫‪4‬‬

‫‪b2‬‬ ‫‪a3‬‬

‫‪b1‬‬ ‫‪a1‬‬

‫‪b4‬‬ ‫‪a4‬‬ ‫‪A‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 15 – 1‬ﺍﻟﻔﺘﺤﺎﺕ ﺍﻟﺼﻐﲑﺓ‬

‫ﺏ‪ -‬ﰲ ﺣﺎﻟﺔ ﺍﻟﻔﺘﺤﺔ ﺍﻟﺼﻐﲑﺓ ‪ ,‬ﳚﺐ ﺇﺿﺎﻓﺔ ﺗﺴﻠﻴﺢ ﲜﻮﺍﺭ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳌﻘﻄﻮﻉ ﺑﺴﺒﺐ ﺍﻟﻔﺘﺤﺔ ‪ ,‬ﻳﺮﻛﺰ ﻋﻠـﻰ ﺟﻮﺍﻧـﺐ‬ ‫ﺍﻟﻔﺘﺤﺔ ﺑﺎﻟﺘﺴﺎﻭﻱ ﻭﲟﺴﺎﺣﺔ ﻋﻨﺪ ﻛﻞ ﻃﺮﻑ ﻻ ﺗﻘﻞ ﻋﻦ ﺛﻼﺛﺔ ﺃﺭﺑﺎﻉ ﻣﺴﺎﺣﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳌﻘﻄﻮﻉ ﰲ ﻛﻞ ﺍﲡﺎﻩ ﻛﻤﺎ‬ ‫ﻫﻮ ﻭﺍﺿﺢ ﰲ ﺍﻟﺸﻜﻞ )‪ , (16-1‬ﻋﻠﻰ ﺃﻻ ﻳﻘﻞ ﻋﻦ ﻗﻀﻴﺒﲔ ﻗﻄﺮ ‪ 12 mm‬ﻋﻨﺪ ﻛﻞ ﻃﺮﻑ ‪ ,‬ﺃﻣﺎ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻘﻄﺮﻱ‬ ‫ﻓﻼ ﻳﻘﻞ ﻋﻦ ﻗﻀﻴﺒﲔ ﻗﻄﺮ ‪ 10 mm‬ﻋﻨﺪ ﻛﻞ ﺯﺍﻭﻳﺔ ‪ ,‬ﻭﰲ ﺣﺎﻝ ﻋﺪﻡ ﺍﺳﺘﻌﻤﺎﻝ ﺗﺴﻠﻴﺢ ﻗﻄﺮﻱ ﻳ‪‬ﺰﺍﺩ ﺍﻟﺘﺴﻠﻴﺢ ﻋﻠـﻰ‬ ‫ﺟﻮﺍﻧﺐ ﺍﻟﻔﺘﺤﺔ ﲟﻘﺪﺍﺭ ‪. 50 %‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 16-1‬ﺍﻟﺘﺴﻠﻴﺢ ﺣﻮﻝ ﺍﻟﻔﺘﺤﺔ‬

‫ﻭﺇﺫﺍ ﻛﺎﻧﺖ ﺍﻟﻔﺘﺤﺎﺕ ﺍﻟﺼﻐﲑﺓ ﻣﺘﺠﺎﻭﺭﺓ ‪ ,‬ﻳﻮﺿﻊ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺒﺪﻳﻞ ﻟﻠﺘﺴﻠﻴﺢ ﺍﳌﻘﻄﻮﻉ ﺣﻮﻝ ﳎﻤﻮﻋﺔ ﺍﻟﻔﺘﺤـﺎﺕ‬ ‫ﻛﻤﺎ ﻫﻮ ﻣﺒﲔ ﺑﺎﻟﺸﻜﻞ )‪ (17-1‬ﻭﻛﻤﺎ ﻫﻮ ﻣﺬﻛﻮﺭ ﰲ ﺍﻟﻔﻘﺮﺓ )ﺏ( ﺃﻋﻼﻩ ‪ ,‬ﻭﳚﺐ ﺃﻥ ﳝﺪ ﺗﺴـﻠﻴﺢ ﺍﻟﺘﻘﻮﻳـﺔ ﻋﻠـﻰ‬ ‫ﺟﻮﺍﻧﺐ ﺍﻟﻔﺘﺤﺎﺕ ﺇﱃ ﺿﻤﻦ ﺍﳌﺴﺎﻧﺪ ‪.‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪17‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺗﻌﺎﺭﻳﻒ ﻭﺍﺷﺘﺮﺍﻃﺎﺕ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 17-1‬ﺍﻟﺘﺴﻠﻴﺢ ﺣﻮﻝ ﳎﻤﻮﻋﺔ ﻓﺘﺤﺎﺕ ﺻﻐﲑﺓ‬

‫ﺝ‪ -‬ﰲ ﺣﺎﻟﺔ ﺍﻟﻔﺘﺤﺎﺕ ﺍﻟﻜﺒﲑﺓ ﳚﺐ ﺃﻥ ﲢﻠﻞ ﻭﻓﻘﺎﹰ ﻟﻠﻤﺒﺎﺩﺉ ﺍﳍﻨﺪﺳﻴﺔ ﺍﳌﻌﺘﻤﺪﺓ ‪ ,‬ﺃﻭ ﺑﻮﺿﻊ ﺟﻮﺍﺋﺰ ﺗﻘﻮﻳﺔ ﻋﻠﻰ ﳏـﻴﻂ‬ ‫ﺍﻟﻔﺘﺤﺔ ‪ ,‬ﻭﺗﻮﺻﻴﻞ ﺗﻠﻚ ﺍﳉﻮﺍﺋﺰ ﺣﱴ ﻣﺴﺎﻧﺪ ﺍﻟﺒﻼﻃﺔ ‪ ,‬ﰒ ﲢﻠﻴﻞ ﻫﺬﻩ ﺍﳉﻮﺍﺋﺰ ﻃﺒﻘﺎﹰ ﻟﻸﺳﺲ ﺍﳍﻨﺪﺳﻴﺔ ﺍﻟﺴﻠﻴﻤﺔ ‪ ,‬ﰲ‬ ‫ﺣﺎﻝ ﺍﳉﻮﺍﺋﺰ ﺍﻟﻄﺮﻓﻴﺔ ﺍﳌﺨﻔﻴﺔ ﻳﻠﺰﻡ ﻋﺎﺩﺓ ﺗﺴﻠﻴﺢ ﺛﻨﺎﺋﻲ ‪ ,‬ﻓﲑﺍﻋﻰ ﺭﺑﻂ ﻫﺬﺍ ﺍﻟﺘﺴﻠﻴﺢ ﺑﺸﻜﻞ ﳏﻜﻢ ﺑﺄﺳﺎﻭﺭ ﻛﺎﻓﻴـﺔ‬ ‫ﳌﻘﺎﻭﻣﺔ ﺍﻟﻘﺺ ﻭﻣﻨﻊ ﺍﻟﺘﺤﻨﻴﺐ ‪.‬‬ ‫ﺩ‪ -‬ﻋﻨﺪﻣﺎ ﺗﻜﻮﻥ ﺍﻟﻔﺘﺤﺔ ﰲ ﺍﻟﺒﻼﻃﺔ ﻣﻮﺟﻮﺩﺓ ﻋﻠﻰ ﻣﺴﺎﻓﺔ ﺗﻘﻞ ﻋﻦ ‪ 6‬ﻣﺮﺍﺕ ﲰﻚ ﺍﻟﺒﻼﻃﺔ ﻣﻦ ﺣﺎﻓﺔ ﲪﻞ ﻣﺮﻛﹼﺰ ) ﺭﺩ‬ ‫ﻓﻌﻞ ( ﻛﻤﺎ ﰲ ﺍﻟﺸﻜﻞ )‪ , (18-1‬ﻓﺈﻥ ﺟﺰﺀﺍﹰ ﻣﻦ ﳏﻴﻂ ﺍﻟﻘﻄﺎﻉ ﺍﳊﺮﺝ ﺍﶈﺼﻮﺭ ﺑﲔ ﺍﳌﺴﺘﻘﻴﻤﲔ ﺍﻟﻮﺍﺻﻠﲔ ﻣﻦ ﻣﺮﻛﺰ‬ ‫ﺍﳊﻤﻞ ﺍﳌﺮﻛﹼﺰ ﺣﱴ ﻃﺮﻑ ﺍﻟﻔﺘﺤﺔ ﻳ‪‬ﻌﺪ‪ ‬ﻏﲑ ﻓﻌ‪‬ﺎﻝ ‪.‬‬

‫ﺍﻟﻔﺘﺤــﺔ‬

‫‪<6.t‬‬

‫ـﺔ‬ ‫ـﺎﺣﺔ ﺍﶈﻤﻠـ‬ ‫ﺍﳌﺴـ‬

‫‪0,5.d‬‬

‫‪0,5.d‬‬

‫ﺍﻟﻘﻄﺎﻉ ﺍﳊــﺮﺝ‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 18-1‬ﺍﻟﻘﻄﺎﻉ ﺍﳊﺮﺝ ﺣﻮﻝ ﺍﳊﻤﻞ ﺍﳌﺮﻛﹼﺰ ﰲ ﺣﺎﻝ ﻭﺟﻮﺩ ﻓﺘﺤﺔ ﻗﺮﻳﺒﺔ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪18‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﻔﺼﻞ ﺍﻟﺜﺎﱐ‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬ ‫‪ 1-2‬ﲢﺪﻳﺪ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ‪:‬‬ ‫ﺗﻜﻮﻥ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﲡﺎﻩ ﻭﺍﺣﺪ ﺃﻭ ﺑﺘﻌﺒﲑ ﺃﺧﺮ ﻋﺎﻣﻠﺔ ﺑﺎﲡﺎﻩ ﻭﺍﺣﺪ ‪ ,‬ﰲ ﻛﻞ ﻣﻦ ﺍﳊﺎﻟﺘﲔ ﺍﻟﺘﺎﻟﻴﺘﲔ‪:‬‬ ‫ﺃ‪ -‬ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻨﺪﺓ ﻋﻠﻰ ﻣﺴﻨﺪﻳﻦ ﻣﺘﻘﺎﺑﻠﲔ ﻓﻘﻂ ﻭﻋﻠﻰ ﺍﻣﺘﺪﺍﺩ ﺣﻮﺍﻓﻬﺎ ‪ .‬ﻭﳝﻜﻦ ﺃﻥ ﺗﻜﻮﻥ ﺍﳌﺴﺎﻧﺪ ﻋﺒـﺎﺭﺓ ﻋـﻦ‬ ‫ﺟﺪﺭﺍﻥ ﺃﻭ ﺟﻮﺍﺋﺰ ﺣﺎﻣﻠﺔ ‪ .‬ﻭﺍﻟﺸﻜﻞ ) ‪ ( 1-2‬ﻳﺒﲔ ﻣﺴﻘﻄﺎﹰ ﺃﻓﻘﻴﺎﹰ ﻭﻣﻘﻄﻌﺎﹰ ﺷﺎﻗﻮﻟﻴﺎﹰ ﻟﺒﻼﻃﺔ ﻣﺼﻤﺘﺔ ﻣﺴﻨﻮﺩﺓ ﻋﻠـﻰ‬ ‫ﺍﻣﺘﺪﺍﺩ ﺍﻟﻄﺮﻓﲔ ﺍﳌﺘﻘﺎﺑﻠﲔ ‪.‬‬

‫ﺟ ﺎﺋﺰ رﺋﯿﺴ ﻲ‬

‫ﺟ ﺎﺋﺰ رﺋﯿﺴ ﻲ‬

‫ﻣﺴ ﻘﻂ أﻓﻘ ﻲ ﻟﻠﺒﻼﻃ ﺔ‬

‫اﺗﺠ ﺎه ﻋﻤ ﻞ‬ ‫اﻟﺒﻼﻃ ﺔ‬

‫‪I‬‬

‫‪t‬‬

‫ﻣﻘﻄ ﻊ ‪I - I‬‬

‫‪I‬‬

‫ﺟ ﺎﺋﺰ رﺋﯿﺴ ﻲ‬

‫ﺟ ﺎﺋﺰ رﺋﯿﺴ ﻲ‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 1-2‬ﺑﻼﻃﺔ ﻣﺴﻨﻮﺩﺓ ﻋﻠﻰ ﻣﺴﻨﺪﻳﻦ ﻣﺘﻘﺎﺑﻠﲔ‬

‫ﺏ‪ -‬ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻄﻴﻠﺔ ﻭﺍﳌﺴﺘﻨﺪﺓ ﻋﻠﻰ ﺍﻣﺘﺪﺍﺩ ﺣﻮﺍﻓﻬﺎ ﺍﻷﺭﺑﻊ ﻋﻠﻰ ﺟﺪﺭﺍﻥ ﺃﻭ ﺟﻮﺍﺋﺰ ‪ ,‬ﻭ ﺩﺭﺟﺔ ﺇﺳﺘﻄﺎﻟﺘﻬﺎ ﺃﻛﱪ ﻣﻦ‬ ‫ﻛﻤﺎ ﰲ ﺍﻟﺸﻜﻞ ) ‪. ( 2-2‬‬

‫‪2‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪19‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺟ ﺎﺋﺰ ﺛ ﺎﻧﻮي‬

‫ﺟ ﺎﺋﺰ رﺋﯿﺴ ﻲ‬

‫ﺟ ﺎﺋﺰ ﺛ ﺎﻧﻮي‬

‫ﺟ ﺎﺋﺰ رﺋﯿﺴ ﻲ‬

‫‪II‬‬

‫‪II‬‬

‫ﺟ ﺎﺋﺰ رﺋﯿﺴ ﻲ‬

‫اﺗﺠ ﺎه ﻋﻤ ﻞ‬ ‫اﻟﺒﻼﻃ ﺔ‬

‫اﺗﺠ ﺎه ﻋﻤ ﻞ‬ ‫اﻟﺒﻼﻃ ﺔ‬

‫اﺗﺠ ﺎه ﻋﻤ ﻞ‬ ‫اﻟﺒﻼﻃ ﺔ‬

‫‪III‬‬

‫‪III‬‬ ‫ﺟ ﺎﺋﺰ ﺛ ﺎﻧﻮي‬

‫ﺟ ﺎﺋﺰ رﺋﯿﺴ ﻲ‬

‫‪t‬‬

‫‪t‬‬ ‫ﺟ ﺎﺋﺰ ﺛ ﺎﻧﻮي‬

‫ﺟ ﺎﺋﺰ ﺛ ﺎﻧﻮي‬

‫ﺟ ﺎﺋﺰ رﺋﯿﺴ ﻲ‬

‫ﺟ ﺎﺋﺰ رﺋﯿﺴ ﻲ‬

‫ﻣﻘﻄ ﻊ ‪III - III‬‬

‫ﻣﻘﻄ ﻊ ‪II - II‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 2-2‬ﳕﺎﺫﺝ ﺑﻼﻃﺎﺕ ﻣﺴﻨﻮﺩﺓ ﻣﻦ ﺍﻷﻃﺮﺍﻑ ﺍﻷﺭﺑﻌﺔ‬

‫ﺝ‪ -‬ﺗﻌﺮﻑ ﻧﺴﺒﺔ ) ﺩﺭﺟﺔ ( ﺍﻻﺳﺘﻄﺎﻟﺔ ) ‪ ( r‬ﻟﻠﺒﻼﻃﺔ ‪ :‬ﺑﺄ‪‬ﺎ ﻧﺴﺒﺔ ﺍﳌﺴﺎﻓﺔ ﺑﲔ ﺧﻄﻲ ﺍﻻﻧﻘﻼﺏ ) ﺃﻱ ﺧﻄﻲ ﺍﻧﻌـﺪﺍﻡ‬ ‫ﻋﺰﻣﻲ ﺍﻻﻧﻌﻄﺎﻑ ( ﰲ ﺍﻻﲡﺎﻩ ﺍﻟﻄﻮﻳﻞ ‪ ,‬ﺇﱃ ﺍﳌﺴﺎﻓﺔ ﺑﲔ ﺧﻄﻲ ﺍﻻﻧﻘﻼﺏ ﰲ ﺍﻻﲡﺎﻩ ﺍﻟﻘﺼﲑ ‪ ,‬ﻋﻨﺪﻣﺎ ﺗﻜﻮﻥ ﺍﻟﺒﻼﻃﺔ‬ ‫ﺍﳌﺪﺭﻭﺳﺔ ﻓﻘﻂ ﳏﻤ‪‬ﻠﺔ ‪ ,‬ﲢﺴﺐ ﻫﺬﻩ ﺍﳌﺴﺎﻓﺔ ﺑﺎﻟﺘﺤﻠﻴﻞ ﺍﻹﻧﺸﺎﺋﻲ ﻃﺒﻘﺎﹰ ﻟﻨﻈﺮﻳﺔ ﺍﳌﺮﻭﻧﺔ ﻭﻓﻖ ﺍﻟﻌﻼﻗﺔ ‪:‬‬ ‫‪m1 . L1‬‬ ‫‪m 2 . L2‬‬

‫)‪(2-1‬‬

‫ﺣﻴﺚ ‪:‬‬

‫‪L1‬‬

‫ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌ‪‬ﺎﻝ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻄﻮﻳﻞ ﻭ‬

‫‪L2‬‬

‫= ‪r‬‬

‫ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌ‪‬ﺎﻝ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻘﺼﲑ ﻟﻠﺒﻼﻃﺔ ‪.‬‬

‫‪ m1‬ﻭ ‪ m2‬ﻧﺴﺒﺔ ﺍﳌﺴﺎﻓﺔ ﺑﲔ ﺧﻄﻲ ﺍﻻﻧﻘﻼﺏ ) ﺃﻱ ﺧﻄﻲ ﺍﻧﻌﺪﺍﻡ ﻋﺰﻣﻲ ﺍﻻﻧﻌﻄﺎﻑ ( ﰲ ﺷﺮﳛﺔ ﳏﻤﻠـﺔ ﻣـﻦ‬ ‫ﺍﻟﺒﻼﻃﺔ ﰲ ﺍﲡﺎﻩ ﺍ‪‬ﺎﺯ ‪ L1‬ﻭ ﺍﲡﺎﻩ ﺍ‪‬ﺎﺯ ‪ L2‬ﻋﻠﻰ ﺍﻟﺘﻮﺍﱄ ‪.‬‬ ‫ﺩ‪ -‬ﺑﺎﻟﻨﺴﺒﺔ ﺇﱃ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻤﺮﺓ ﺍﳌﺴﺘﻌﻤﻠﺔ ﰲ ﺍﳌﺒﺎﱐ ﺍﻟﻌﺎﺩﻳﺔ‪ ,‬ﺫﺍﺕ ﺍﻷﲪﺎﻝ ﺍﳊﻴ‪‬ﺔ ﺍﳌﻮﺯ‪‬ﻋﺔ ﺑﺎﻧﺘﻈﺎﻡ ﻭﺍﻟﺼـﻐﲑﺓ ) ﻻ‬ ‫ﺗﺘﻌﺪﻯ‬

‫‪5 KN / m 2‬‬

‫( ‪ ,‬ﻭﻋﻨﺪﻣﺎ ﻳﻜﻮﻥ ﺍ‪‬ﺎﺯ ‪ L1‬ﺃﻭ ‪ L2‬ﻻ ﻳﻘﻞﹼ ﻋﻦ‬

‫‪2‬‬ ‫‪3‬‬

‫ﺍ‪‬ﺎﺯ ﺃﻭ ﺍ‪‬ﺎﺯﺍﺕ ﺍ‪‬ﺎﻭﺭﺓ ‪ ,‬ﻭﻻ ﻳﺰﻳﺪ ﻋﻦ‬

‫)‪ (1,5‬ﻣﻨﻪ ‪ ,‬ﳝﻜﻦ ﺍﺳﺘﻌﻤﺎﻝ ﻗﻴﻢ ﻟـ ‪ m1‬ﻭ ‪ m2‬ﻣﺴﺎﻭﻳﺔ ﺇﱃ ‪ 0,87‬ﻟﻠﻔﺘﺤﺎﺕ ﺍﻟﻄﺮﻓﻴﺔ ‪ ,‬ﻭ‪ 0,76‬ﻟﻠﻔﺘﺤﺎﺕ ﺍﻟﺪﺍﺧﻠﻴﺔ‬ ‫‪ ,‬ﺑﻴﻨﻤﺎ ﺗﺆﺧﺬ ﻗﻴﻤﺔ ﺍﻟﻮﺍﺣﺪ ﻟﻠﻔﺘﺤﺎﺕ ﻏﲑ ﺍﳌﺴﺘﻤﺮﺓ ﻣﻦ ﺍﳉﺎﻧﺒﲔ‪.‬‬ ‫ﺑﺎﻟﻨﺴﺒﺔ ﺇﱃ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻤﺮﺓ ﺍﻟﱵ ﻻ ﲢﻘﻖ ﺍﻟﺸﺮﻭﻁ ﺍﻟﻮﺍﺭﺩﺓ ﰲ )ﺩ( ﺃﻋﻼﻩ ‪ ,‬ﺗﺴﺘﻨﺘﺞ ﻗﻴﻢ ‪ m1‬ﻭ‬ ‫ﻭﺑﺎﻓﺘﺮﺍﺽ ﺍ‪‬ﺎﺯ ﺍﳌﺪﺭﻭﺱ ﻫﻮ ﺍﶈﻤ‪‬ﻞ ﻓﻘﻂ ‪.‬‬

‫‪m2‬‬

‫ﺑﺎﻟﺘﺤﻠﻴﻞ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪20‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫‪ 2-2‬ﺍﻻﺷﺘﺮﺍﻃﺎﺕ ﺍﻟﺒﻌﺪﻳﺔ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‪:‬‬ ‫ﺃ‪ -‬ﳛﺪﺩ ﺍﻟﺴﻤﻚ ﺍﻷﺩﱏ ) ‪ ( t‬ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ﺍﳌﺴﺘﻨﺪﺓ ﻋﻠﻰ ﺟﺪﺭﺍﻥ ‪ ,‬ﺃﻭ ﻋﻠﻰ ﺟﻮﺍﺋﺰ ﺑـﺎﺭﺯﺓ‬ ‫ﺗﺒﻌﺎﹰ ﻟﻄﺒﻴﻌﺔ ﺍﺳﺘﻨﺎﺩ ﻭﺍﺳﺘﻤﺮﺍﺭﻳﺔ ﺍﻟﺒﻼﻃﺎﺕ ﻭ ﻟﻘﻴﻤﺔ ﳎﺎﺯﺍ‪‬ﺎ ﺍﻟﻔﻌﺎﻟﺔ ) ‪ , ( L‬ﲟﺎ ﻻ ﻳﻘﻞ ﻋﻦ ﺍﻟﻨﺴـﺐ ﺍﻟـﻮﺍﺭﺩﺓ ﰲ‬ ‫ﺍﳉﺪﻭﻝ ) ‪ , ( 1-2‬ﺇﻻ ﺇﺫﺍ ﰎﹼ ﺣﺴﺎﺏ ﺍﻟﺴﻬﻢ ﻭﺍﻟﺘﺄﻛﺪ ﻣﻦ ﻋﺪﻡ ﲡﺎﻭﺯﻩ ﻟﻠﻘﻴﻢ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ ﻭﺍﻟﱵ ﻳﻌﻄﻴﻬﺎ ﺍﻟﻜـﻮﺩ‬ ‫ﺍﻟﻌﺮﰊ ﺍﻟﺴﻮﺭﻱ ﰲ ﺍﻟﺒﻨﺪ )‪. (5-10‬‬ ‫ﺍﳉﺪﻭﻝ ) ‪ ( 1-2‬ﺍﻟﺴﻤﻚ ﺍﻷﺩﱏ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬ ‫ﻧﻮﻉ ﺍﺳﺘﻨﺎﺩ‬

‫ﺍﺳﺘﻨﺎﺩ ﺑﺴﻴﻂ‬

‫ﺍﻟﺒﻼﻃﺔ‬

‫ﺍﻟﺴﻤﻚ ﺍﻷﺩﱏ‬

‫‪L / 25‬‬

‫ﻣﺴﺘﻤﺮﺓ ﻣﻦ‬

‫ﻣﺴﺘﻤﺮﺓ ﻣﻦ‬

‫ﻃﺮﻑ ﻭﺍﺣﺪ‬

‫ﻃﺮﻓﲔ‬

‫‪L / 27‬‬

‫‪L / 30‬‬

‫ﻇﻔﺮﻳﺔ‬ ‫‪L / 10‬‬

‫)‪(t‬‬

‫ﺏ‪ -‬ﰲ ﺣﺎﻝ ﺍﺳﺘﻨﺎﺩ ﺍﻟﺒﻼﻃﺔ ﻋﻠﻰ ﺟﻮﺍﺋﺰ ﺑﺎﺭﺯﺓ ﳚﺐ ﺃﻻ ﻳﻘﻞﹼ ﺍﻻﺭﺗﻔﺎﻉ ﺍﻟﻜﻠﻲ ﻟﻜﻞ ﺟﺎﺋﺰ ﻋﻦ ﻣﺜﻠﻲ ﲰﻚ ﺍﻟﺒﻼﻃﺔ‪ ,‬ﻭ‬ ‫ﺇﻻ ﳚﺐ ﺣﺴﺎﺏ ﺍﻟﺴﻬﻢ ﺍﻟﻜﻠﻲ ﻟﻠﺒﻼﻃﺔ ‪ ،‬ﻛﻤﺎ ﳛﺪﺩ ﺍﻟﺴﻤﻚ ﺍﻷﺩﱏ ) ‪ ( h‬ﻟﻠﺠﻮﺍﺋﺰ ﺗﺒﻌـﺎﹰ ﻟﻄﺒﻴﻌـﺔ ﺍﺳـﺘﻨﺎﺩﻫﺎ‬ ‫ﻭﺍﺳﺘﻤﺮﺍﺭﻫﺎ ﻭ ﻟﻘﻴﻤﺔ ﳎﺎﺯﺍ‪‬ﺎ ﺍﻟﻔﻌﺎﻟﺔ ) ‪ , ( L‬ﲟﺎ ﻻ ﻳﻘﻞ ﻋﻦ ﺍﻟﻨﺴﺐ ﺍﻟـﻮﺍﺭﺩﺓ ﰲ ﺍﳉـﺪﻭﻝ ) ‪ , ( 2-2‬ﺇﻻ ﺇﺫﺍ ﰎﹼ‬ ‫ﺣﺴﺎﺏ ﺍﻟﺴﻬﻢ ﻭﺍﻟﺘﺄﻛﺪ ﻣﻦ ﻋﺪﻡ ﲡﺎﻭﺯﻩ ﻟﻠﻘﻴﻢ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ ﻭﺍﻟﱵ ﻳﻌﻄﻴﻬﺎ ﺍﻟﻜﻮﺩ ﺍﻟﻌﺮﰊ ﺍﻟﺴﻮﺭﻱ ﰲ ﺍﻟﺒﻨﺪ )‪.(5-10‬‬ ‫ﺍﳉﺪﻭﻝ ) ‪ ( 2-2‬ﺍﻟﺴﻤﻚ ﺍﻷﺩﱏ ﻟﻠﺠﻮﺍﺋﺰ‬

‫ﻧﻮﻉ ﺍﳉﺎﺋﺰ‬

‫ﺍﳌﻘﺎﻭﻣﺔ ﺍﳌﻤﻴﺰﺓ‬ ‫ﻟﻠﺒﻴﺘﻮﻥ‬

‫ﺍﻟﺴﻤﻚ‬ ‫ﺍﻷﺩﱏ‬ ‫)‪(h‬‬

‫ﳐﻔﻲ‬

‫ﻣﺴﺘﻤﺮ ﻣﻦ‬

‫ﻣﺴﺘﻤﺮ ﻣﻦ‬

‫ﺑﺴﻴﻂ‬

‫ﻃﺮﻑ‬ ‫ﻭﺍﺣﺪ‬

‫ﻃﺮﻓﲔ‬

‫‪L / 12‬‬

‫‪L / 13‬‬

‫‪L / 14‬‬

‫‪L/6‬‬

‫‪f 'c ≥ 20‬‬

‫‪L / 14‬‬

‫‪L / 15‬‬

‫‪L / 16‬‬

‫‪L/6‬‬

‫‪f 'c < 20‬‬

‫‪L / 14‬‬

‫‪L / 16‬‬

‫‪L / 18‬‬

‫‪L/8‬‬

‫‪f 'c ≥ 20‬‬

‫‪L / 16‬‬

‫‪L / 18‬‬

‫‪L / 120‬‬

‫‪L/8‬‬

‫) ‪( MPa‬‬

‫ﻣﺘﺪﱄ‬

‫ﻧﻮﻉ ﺍﺳﺘﻨﺎﺩ ﺍﳉﺎﺋﺰ‬

‫‪f 'c < 20‬‬

‫ﻇﻔﺮ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪21‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺝ‪ -‬ﰲ ﲨﻴﻊ ﺍﻷﺣﻮﺍﻝ ﻳﺸﺘﺮﻁ ﺃﻻ ﻳﻘﻞﹼ ﲰﻚ ﺍﻟﺒﻼﻃﺔ ﻋﻦ ﺍﻟﻘﻴﻢ ﺍﻟﺘﺎﻟﻴﺔ ‪:‬‬ ‫‪ ( 1‬ﺑﻼﻃﺎﺕ ﻣﺼﺒﻮﺑﺔ ﰲ ﻣﻮﺿﻌﻬﺎ ﻣﻌﺮ‪‬ﺿﺔ ﻷﲪﺎﻝ ﺳﺎﻛﻨﺔ )ﺳﺘﺎﺗﻴﻜﻴﺔ( ‪. 80 mm‬‬ ‫‪ ( 2‬ﺑﻼﻃﺎﺕ ﻣﻌﺮ‪‬ﺿﺔ ﻷﲪﺎﻝ ﺣﺮﻛﻴﺔ )ﺩﻳﻨﺎﻣﻴﻜﻴﺔ( ‪. 120 mm‬‬ ‫ﺩ‪ -‬ﰲ ﺣﺎﻝ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺒﻘﺔ ﺍﻟﺼﺐ ‪ ,‬ﻭﺍﳌﻌﺮ‪‬ﺿﺔ ﻷﲪﺎﻝ ﺳﺘﺎﺗﻴﻜﻴﺔ ﳝﻜﻦ ﺗﻘﻠﻴﻞ ﺍﻟﺴﻤﻚ ﻋﻤ‪‬ﺎ ﰎﹼ ﺫﻛﺮﻩ ﺳﺎﺑﻘﺎﹼ ﻭﲝﻴﺚ‬ ‫ﻻ ﻳﻘﻞﹼ ﻋﻦ ‪. 40 mm‬‬ ‫‪ 3-2‬ﺍﳊﻤﻮﻻﺕ ﺍﳌﺆﺛﺮﺓ ﻋﻠﻰ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‪:‬‬ ‫‪ 1-3-2‬ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ ‪:‬‬ ‫ﻭﻫﻲ ﻛﺎﻓﺔ ﺍﳊﻤﻮﻻﺕ ﺍﻟﺴﺘﺎﺗﻴﻜﻴﺔ ﺍﻟﻨﺎﲡﺔ ﻋﻦ ﺍﻟﺜﻘﺎﻟﺔ ﺍﻷﺭﺿﻴﺔ ‪ .‬ﻛﺎﻟﻮﺯﻥ ﺍﻟﺬﺍﰐ ﻟﻠﺒﻼﻃﺔ ﻭﺃﻭﺯﺍﻥ ﺍﻟﻌﻨﺎﺻﺮ ﺍﳌﺮﻛـﺰﺓ‬ ‫ﻋﻠﻴﻬﺎ ﻛﺎﳉﺪﺭﺍﻥ ﻭﺍﻟﻘﻮﺍﻃﻊ ﻭﺍﻟﺮﻣﻞ ﻭﺍﻟﺒﻼﻁ ﻭﻛﺎﻓﺔ ﺍﻟﺘﻤﺪﻳﺪﺍﺕ ﻭﺍﻟﺘﺠﻬﻴﺰﺍﺕ ‪ .‬ﻭﻟﺘﻘﺪﻳﺮ ﻭﺣﺴﺎﺏ ﺍﻷﲪﺎﻝ ﺍﻟﺪﺍﺋﻤﺔ ﳝﻜﻦ‬ ‫ﺍﻻﺳﺘﻔﺎﺩﺓ ﻣﻦ ﺍﳉﺪﻭﻝ ) ‪ ( 3-2‬ﺍﻟﺬﻱ ﻳﻌﻄﻲ ﺍﻷﻭﺯﺍﻥ ﺍﳊﺠﻤﻴﺔ ﻟﺒﻌﺾ ﺍﳌﻮﺍﺩ ﺍﻷﻛﺜﺮ ﺍﺳﺘﺨﺪﺍﻣﺎﹰ ﰲ ﺗﻨﻔﻴﺬ ﺍﳌﻨﺸﺂﺕ ‪.‬‬ ‫ﺃ‪ -‬ﺍﻟﻮﺯﻥ ﺍﻟﺬﺍﰐ ‪:‬‬ ‫ﻳﺆﺧﺬ ﺍﻟﻮﺯﻥ ﺍﳊﺠﻤﻲ ﻟﻠﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﺍﳌﻨﺸﺂﺕ ﺍﻟﻌﺎﺩﻳﺔ‬

‫‪25 KN/m3‬‬

‫ﻋﻠﻰ ﺃﻻ ﺗﺰﻳﺪ ﻧﺴﺒﺔ ﺍﻟﺘﺴﻠﻴﺢ ﻓﻴﻪ ﻋﻦ ‪. 1 %‬‬

‫ﺏ‪ -‬ﲪﻮﻻﺕ ﺍﻟﺘﻐﻄﻴﺔ ‪:‬‬ ‫ﻭﺗﻀﻢ ﺃﻭﺯﺍﻥ ﺍﻟﺮﻣﻞ ﻭﺍﳌﻮﻧﺔ ﻭﺍﻟﺒﻼﻁ ‪ ..‬ﻭﺍﳌﻮﺍﺩ ﺍﳌﺴﺘﺨﺪﻣﺔ ﳍﺬﻩ ﺍﻟﻐﺎﻳﺔ ‪ .‬ﲢﺴﺐ ﲪﻮﻻﺕ ﺍﻟﺘﻐﻄﻴﺔ ﺑﺸﻜﻞ ﺩﻗﻴـﻖ ‪،‬‬ ‫ﻛﻤﺎ ﳝﻜﻦ ﺍﻋﺘﻤﺎﺩ ﲪﻮﻟﺔ ﺗﻐﻄﻴﺔ ﻋﻠﻰ ﺍﻟﺒﻼﻃﺎﺕ ﻋﻠﻰ ﺍﻟﻨﺤﻮ ﺍﻵﰐ ‪:‬‬ ‫§‬

‫‪ 2 KN/m2‬ﰲ ﺍﻷﻋﻤﺎﻝ ﺍﻟﱵ ﻻ ﺗﺰﻳﺪ ﻓﻴﻬﺎ ﲰﻚ ﻃﺒﻘﺔ ﺍﻟﺘﻐﻄﻴﺔ ﻋﻦ ‪. 100 mm‬‬

‫§‬

‫‪ 3 KN/m2‬ﻋﻨﺪ ﻭﺟﻮﺩ ﲤﺪﻳﺪﺍﺕ ﻣﻄﻤﻮﺭﺓ ﲢﺖ ﺍﻟﺒﻼﻁ ‪ ،‬ﻋﻠﻰ ﺃﻻ ﻳﺰﻳﺪ ﲰﻚ ﻃﺒﻘﺔ ﺍﻟﺘﻐﻄﻴﺔ ﻋﻦ ‪. 150 mm‬‬

‫§‬

‫‪ 3 KN/m2‬ﺍﳊﻤﻮﻟﺔ ﺍﻟﺪﻧﻴﺎ ﻟﺘﻐﻄﻴﺔ ﺍﻟﺴﻄﺢ ﺍﻟﻨﻬﺎﺋﻲ ‪.‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪22‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( 3-2‬ﺍﻷﻭﺯﺍﻥ ﺍﳊﺠﻤﻴﺔ ﻟﺒﻌﺾ ﺍﳌﻮﺍﺩ ﺍﻷﻛﺜﺮ ﺍﺳﺘﻌﻤﺎﻻﹰ‬ ‫ﺍﳌﺎﺩﺓ‬ ‫ﺍﳋﺮﺳﺎﻧﺔ ﺍﻟﻌﺎﺩﻳﺔ ﺩﻭﻥ ﺗﺴﻠﻴﺢ‬ ‫ﺍﻟﻔﻮﻻﺫ‬

‫ﺍﻟﻮﺯﻥ ﺍﳊﺠﻤﻲ‬ ‫) ‪( KN/m3‬‬ ‫‪24‬‬ ‫‪78,5‬‬

‫ﺍﳋﺮﺳﺎﻧﺔ ﺍﳌﺴﻠﺤﺔ ) ﻧﺴﺒﺔ ﺗﺴﻠﻴﺢ ‪( 1 %‬‬

‫‪25‬‬

‫ﺍﳊﺠﺮ ﺍﻟﺒﺎﺯﻟﱵ ) ﺣﺠﻢ ﻣﻠﻲﺀ (‬

‫‪30‬‬

‫ﺍﳊﺠﺮ ﺍﻟﻐﺮﺍﻧﻴﱵ ) ﺣﺠﻢ ﻣﻠﻲﺀ (‬

‫‪28‬‬

‫ﺍﳊﺠﺮ ﺍﻟﻜﻠﺴﻲ ) ﺣﺠﻢ ﻣﻠﻲﺀ (‬

‫‪27‬‬

‫ﺍﳊﺠﺮ ﺍﻟﺮﻣﻠﻲ ) ﺣﺠﻢ ﻣﻠﻲﺀ (‬

‫‪23‬‬

‫ﺍﻟﺒﻠﻮﻙ ) ﺍﻟﻄﻮﺏ ( ﺍ‪‬ﻮﻑ‬

‫‪19-14‬‬

‫ﺍﻟﺒﺤﺺ ﺍﻟﺰﻟﻂ ) ﺣﺠﻢ ﻃﺒﻴﻌﻲ ﻏﲑ ﻣﺪﻛﻮﻙ (‬

‫‪18-15‬‬

‫ﺍﻟﺮﻣﻞ ) ﺣﺠﻢ ﻃﺒﻴﻌﻲ ﻏﲑ ﻣﺪﻛﻮﻙ (‬

‫‪18-15‬‬

‫ﺍﻻﲰﻨﺖ ) ﻓﻠﺖ (‬

‫‪12-10‬‬

‫ﺍﻟﺒﻨﺎﺀ ﺍﻟﻌﺎﺩﻱ ﺑﺎﳌﻮﻧﺔ‬

‫‪20-18‬‬

‫ﺍﳋﺮﺳﺎﻧﺔ ﺍﳋﻔﻴﻔﺔ ﺍﻟﻮﺯﻥ‬

‫‪20-12‬‬

‫ﺍﻟﺒﻨﺎﺀ ﺑﺎﳊﺠﺮ ﺍ‪‬ﻮﻑ ﺍﳋﺮﺳﺎﱐ‬

‫‪14‬‬

‫ﺍﻟﺒﻨﺎﺀ ﺑﺎﻟﺒﻠﻮﻙ ) ﺍﻟﻄﻮﺏ ( ﺍ‪‬ﻮﻑ‬

‫‪14‬‬

‫ﺑﻼﻁ ﺍﻟﺮﺧﺎﻡ ﺃﻭ ﺍﻟﺴﲑﺍﻣﻴﻚ‬

‫‪25-24‬‬

‫ﺍﻟﻄﻴﻨﺔ ) ﻻ ﻳﻘﻞ ﲰﻚ ﺍﻟﻄﲔ ﻋﻦ ‪ 20 mm‬ﻣﻦ ﻛﻞ ﺟﻬﺔ (‬

‫‪20‬‬

‫ﺍ‪‬ﺒﻮﻝ ﺍﻻﺳﻔﻠﱵ‬

‫‪23‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪23‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺝ‪ -‬ﺍﳉﺪﺭﺍﻥ ﻭﺍﻟﻘﻮﺍﻃﻊ ‪:‬‬ ‫ﳝﻜﻦ ﺣﺴﺎﺏ ﺃﻭﺯﺍﻥ ﺍﳉﺪﺭﺍﻥ ﻭﺍﻟﻘﻮﺍﻃﻊ ﻓﻮﻕ ﺍﻟﺒﻼﻃﺎﺕ ﻭﺗﻮﺯﻳﻊ ﻫﺬﺍ ﺍﳊﻤﻞ ﻋﻠﻰ ﻣﺴﺎﺣﺔ ﺍﻟﺒﻼﻃﺔ ‪ KN/m2‬ﻭﺫﻟﻚ‬ ‫ﻣﻦ ﺃﺟﻞ ﺍﳊﺼﻮﻝ ﻋﻠﻰ ﲪﻮﻟﺔ ﻣﻮﺯﻋﺔ ﺑﺎﻧﺘﻈﺎﻡ ﻣﻜﺎﻓﺌﺔ ﻟﺘﻠﻚ ﺍﳊﻤﻮﻻﺕ ‪ ,‬ﻭﻟﻜﻦ ﳚﺐ ﺍﻟﺘﻤﻴﻴﺰ ﺑﲔ ﺍﳊﺎﻻﺕ ﺍﻟﺘﺎﻟﻴﺔ ‪:‬‬ ‫‪ -1‬ﺍﳊﻤﻞ ﺍﳌﻜﺎﻓﺊ ﻟﻠﺠﺪﺭﺍﻥ ﺍﳋﻔﻴﻔﺔ ﻋﻠﻰ ﺍﻷﺳﻘﻒ ﺍﳌﺴﻠﺤﺔ ‪:‬‬ ‫ﺗﻌﺪ ﺍﳉﺪﺭﺍﻥ ﺍﻟﻔﺎﺻﻠﺔ ﺍﻟﺪﺍﺧﻠﻴﺔ ﺍﳌﻮﺟﻮﺩﺓ ﻋﻠﻰ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﻠﺤﺔ ﺧﻔﻴﻔﺔ ﺇﺫﺍ ﻛﺎﻧﺖ ﺃﻭﺯﺍ‪‬ﺎ ﻻ ﺗﺰﻳﺪ ﻋﻠـﻰ‬ ‫)‪ KN‬ﻟﻜﻞ ﻣﺘﺮ ﻣﺮﺑﻊ ﻣﻦ ﻣﺴﺎﺣﺔ ﺍﳉﺪﺍﺭ ‪ ,‬ﻭﳝﻜﻦ ﺍﻻﺳﺘﻌﺎﺿﺔ ﻋﻦ ﲪﻞ ﺍﳉﺪﺍﺭ ﺍﳋﻔﻴﻒ ﺍﳌﺮﻛﺰ ﻋﻠﻰ ﺧﻂ ﻃﻮﱄ ﲝﻤـﻞ‬ ‫ﻣﻜﺎﻓﺊ ﻣﻮﺯﻉ ﺑﺎﻧﺘﻈﺎﻡ ﻋﻠﻰ ﻣﺴﺎﺣﺔ ﺍﻟﺴﻘﻒ ﺍﳌﺴﻠﺢ ﺍﳌﻮﺟﻮﺩ ﻋﻠﻴﻬﺎ ) ﺑﻌﺪ ﺍﻷﺧﺬ ﺑﺎﳊﺴﺒﺎﻥ ﻭﺯﻥ ﺍﳊﺎﺋﻂ ﺍﻟﻔﻌﻠﻲ ﺗﺒﻌﺎﹰ ﳌﺎﺩﺗﻪ‬ ‫ﻭﲰﻜﻪ ﻭﻃﻮﻟﻪ ﻭﺍﺭﺗﻔﺎﻋﻪ ( ﻃﺒﻘﺎﹰ ﳌﺎ ﻫﻮ ﻣﺒﲔ ﰲ ﺍﻟﺸﻜﻞ ) ‪. ( 3-2‬‬ ‫‪(1,5‬‬

‫‪KN‬‬ ‫‪1,40‬‬ ‫‪1,30‬‬ ‫‪1,20‬‬ ‫‪1,10‬‬ ‫‪1,00‬‬

‫‪KN/m2‬‬

‫ﻭﺯﻥ ﺍﳊــﺎﺋﻂ ﺍﳋﻔﻴــﻒ ﻣــﻊ ﺍﻟﻄﻴﻨــﺔ‬ ‫ﻟﻜﻞ ‪ m2‬ﻣﻦ ﻣﺴﺎﺣﺔ ﺍﳉــﺪﺍﺭ‬

‫‪1,50‬‬

‫‪1,75‬‬

‫‪1,55‬‬

‫‪1,35‬‬

‫‪1,15‬‬

‫‪0,95‬‬

‫‪0,75‬‬

‫ﺍﳊﻤــﻞ ﺍﳌﻜــﺎﻓﺊ ﺍﳌــﻮﺯﻉ ﺑﺎﻧﺘﻈــﺎﻡ ﻋﻠــﻰ ﺍﻟﺒﻼﻃــﺔ‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 3-2‬ﺍﳊﻤﻞ ﺍﳌﻜﺎﻓﺊ ﻣﻦ ﺍﳊﻮﺍﺋﻂ ﺍﳋﻔﻴﻔﺔ‬

‫ﺇﺫﺍ ﻛﺎﻥ ﺍﳊﻤﻞ ﺍﳊﻲ ﺃﻛﱪ ﻣﻦ‬

‫‪6 KN / m 2‬‬

‫ﻳﻬﻤﻞ ﺍﻟﻮﺯﻥ ﺍﳌﻜﺎﻓﺊ ﻟﻠﺠﺪﺭﺍﻥ ﺍﳋﻔﻴﻔﺔ ﺍﳌﺘﻮﺿﻌﺔ ﻋﻠﻰ ﻫﺬﻩ ﺍﳌﺴﺎﺣﺔ ‪.‬‬

‫‪ -2‬ﺍﳊﻤﻞ ﺍﳌﻜﺎﻓﺊ ﻟﻠﺠﺪﺭﺍﻥ ﺍﻟﺜﻘﻴﻠﺔ ﻋﻠﻰ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ‪:‬‬ ‫ﺗﻌﺪ ﺍﳉﺪﺭﺍﻥ ﺍﻟﻔﺎﺻﻠﺔ ﺍﻟﺪﺍﺧﻠﻴﺔ ﺍﳌﻮﺟﻮﺩﺓ ﻋﻠﻰ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﻠﺤﺔ ﺛﻘﻴﻠﺔ ﺇﺫﺍ ﻛﺎﻧﺖ ﺃﻭﺯﺍ‪‬ﺎ ﺗﺰﻳﺪ ﻋـﻦ‬ ‫ﻟﻜﻞ ﻣﺘﺮ ﻣﺮﺑﻊ ﻣﻦ ﻣﺴﺎﺣﺔ ﺍﳉﺪﺍﺭ ‪ ,‬ﻭﳝﻜﻦ ﺍﻻﺳﺘﻌﺎﺿﺔ ﻋﻦ ﲪﻞ ﺍﳉﺪﺍﺭ ﺍﻟﺜﻘﻴﻞ ﺍﳌﺮﻛﹼﺰ ﻋﻠﻰ ﺧﻂ ﻃﻮﱄ ﲝﻤـﻞ ﻣﻜـﺎﻓﺊ‬ ‫ﻣﻮﺯﻉ ﺑﺎﻧﺘﻈﺎﻡ ﻋﻠﻰ ﻣﺴﺎﺣﺔ ﺍﻟﺒﻼﻃﺔ ﺍﳌﺴﻠﺤﺔ ﺍﳌﻮﺟﻮﺩ ﻋﻠﻴﻬﺎ ‪ ,‬ﻭﻓﻖ ﻛﻞ ﺣﺎﻟﺔ ﻣﻦ ﺍﳊﺎﻻﺕ ﺍﻟﺘﺎﻟﻴﺔ ‪:‬‬

‫)‪(1,5 KN‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪24‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬ ‫•‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ﻭﺍﳌﺴﻨﻮﺩﺓ ﻣﻦ ﻃﺮﻓﲔ ﻣﺘﻘﺎﺑﻴﻠﻦ‪:‬‬

‫ﺃ‪ -‬ﻋﻨﺪﻣﺎ ﻳﺘﻮﺿﻊ ﺍﳉﺪﺍﺭ ﺑﺼﻮﺭﺓ ﻣﺘﻌﺎﻣﺪﺓ ﻣﻊ ﺍﲡﺎﻩ ﻋﻤﻞ ﺍﻟﺒﻼﻃﺔ ‪ ,‬ﻛﻤﺎ ﻫﻮ ﻣﺒﲔ ﰲ ﺍﻟﺸﻜﻞ ) ‪ ( 4-2‬ﻳﺘﻢ ﲤﻴﻴﺰ‬ ‫ﺍﳊﺎﻻﺕ ﺍﻟﺘﺎﻟﻴﺔ ‪:‬‬ ‫‪Wp‬‬

‫‪L‬‬

‫ـﺔ‬ ‫ـﺎﺯ ﺍﻟﺒﻼﻃـ‬ ‫ﳎـ‬ ‫ﺍﻟﺸﻜﻞ ) ‪ ( 4-2‬ﺍﳉﺪﺍﺭ ﺍﳌﺘﻌﺎﻣﺪ ﻣﻊ ﳎﺎﺯ ﺍﻟﺒﻼﻃﺔ‬

‫‪ -1‬ﺍﻟﺒﻼﻃﺔ ﺑﺴﻴﻄﺔ ﺍﻻﺳﺘﻨﺎﺩ ‪:‬‬ ‫)‪(2-2‬‬

‫‪Wp‬‬ ‫‪we = 2‬‬ ‫‪L‬‬

‫‪ -2‬ﺍﻟﺒﻼﻃﺔ ﻣﺴﺘﻤﺮﺓ ﻣﻦ ﻃﺮﻑ ﻭﺑﺴﻴﻄﺔ ﺍﻻﺳﺘﻨﺎﺩ ﻣﻦ ﻃﺮﻑ ﺁﺧﺮ ‪:‬‬ ‫)‪(2-3‬‬

‫‪W‬‬ ‫‪w e = 1,75 p‬‬ ‫‪L‬‬

‫‪ -3‬ﺍﻟﺒﻼﻃﺔ ﻣﺴﺘﻤﺮﺓ ﻣﻦ ﺍﻟﻄﺮﻓﲔ ‪:‬‬ ‫)‪(2-4‬‬

‫ﺣﻴﺚ ‪ W p :‬ﻫﻮ ﻭﺯﻥ ﺍﳉﺪﺍﺭ ﻋﻠﻰ ﻛﺎﻣﻞ ﺍﻻﺭﺗﻔﺎﻉ ‪ ,‬ﻭﺑﻀﻤﻨﻪ ﻭﺯﻥ ﺍﻟﻄﻴﻨﺔ‬ ‫‪L‬‬

‫‪W‬‬ ‫‪w e = 1,50 p‬‬ ‫‪L‬‬

‫) ‪(KN / m‬‬

‫‪.‬‬

‫ﻫﻮ ﺍ‪‬ﺎﺯ ﺍﳊﺴﺎﰊ ﻟﻠﺒﻼﻃﺔ ) ‪. ( m‬‬

‫‪ w e‬ﻫﻮ ﺍﳊﻤﻞ ﺍﻹﺿﺎﰲ ﺍﳌﻜﺎﻓﺊ ﻟﻠﺠﺪﺭﺍﻥ ﺍﻟﺜﻘﻴﻠﺔ ﻋﻠﻰ ﺍﻷﺳﻘﻒ ﺍﳌﺴﻠﺤﺔ ) ‪. (KN / m 2‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪25‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺏ‪ -‬ﻋﻨﺪﻣﺎ ﻳﺘﻮﺿﻊ ﺍﳉﺪﺍﺭ ﺑﺼﻮﺭﺓ ﻣﻮﺍﺯﻳﺔ ﻻﲡﺎﻩ ﻋﻤﻞ ﺍﻟﺒﻼﻃﺔ ‪ ,‬ﺣﻴﺚ ﻳﻜﻮﻥ ﻃﺮﻑ ﺍﻟﺒﻼﻃﺔ ﺍﻟﻘﺮﻳﺐ ﺍﳌـﻮﺍﺯﻱ‬ ‫ﻟﻠﺠﺪﺍﺭ ﻃﺮﻓﺎﹰ ﺣﺮﺍﹰ ‪ ,‬ﻛﻤﺎ ﻫﻮ ﻣﻮﺿﺢ ﰲ ﺍﻟﺸﻜﻞ ) ‪ , ( 5-2‬ﺃﻭ ﻣﺴﺘﻨﺪﺍﹰ ﻋﻠﻰ ﺟﺪﺍﺭ ﺃﻭ ﺟﺎﺋﺰ ﺳﺎﻗﻂ ﻳﺒﻌـﺪ‬ ‫ﺃﻛﺜﺮ ﻣﻦ ‪ 0,3L‬ﻋﻦ ﻣﻮﻗﻊ ﺍﳉﺪﺍﺭ ‪ ،‬ﳛﺴﺐ ﺍﻟﻌﺮﺽ ﺍﻟﻔﻌﺎﻝ )‪ (e‬ﺍﻟﻮﺍﺟﺐ ﺃﺧﺬﻩ ﺑﺎﳊﺴﺒﺎﻥ ﳊﺴﺎﺏ ﺍﳊﻤﻞ‬ ‫ﺍﻹﺿﺎﰲ ﻋﻠﻰ ﺍﻟﺸﻜﻞ ﺍﻟﺘﺎﱄ ‪:‬‬ ‫‪e ( m ) = h p + 0,3 L + h ≤ h p + 0,6 L‬‬

‫)‪(2-5‬‬

‫ﻃﺮﻑ ﺣﺮ‬ ‫‪h >0,3 L‬‬ ‫‪hp‬‬ ‫‪e‬‬

‫ﺟﺪﺍﺭ‬

‫‪0,3 L‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 5-2‬ﺟﺪﺍﺭ ﳏﻤﻞ ﺑﺎﻟﻘﺮﺏ ﻣﻦ ﺍﻟﻄﺮﻑ ﺍﳊﺮ ﻟﻠﺒﻼﻃﺔ‬

‫ﺣﻴﺚ ‪:‬‬

‫‪=h‬‬ ‫‪= hp‬‬

‫ﺑ‪‬ﻌﺪ ﺍﳉﺪﺍﺭ ﻋﻦ ﺍﻟﻄﺮﻑ ﺍﳊﺮ ﻟﻠﺒﻼﻃﺔ ‪.‬‬ ‫ﲰﺎﻛﺔ ﺍﳉﺪﺍﺭ ﻣﻘﺪﺭﺓ ﺑﺎﳌﺘﺮ ‪.‬‬

‫ﻭﳛﺪﺩ ﺍﳊﻤﻞ ﺍﻹﺿﺎﰲ ﺍﳌﻜﺎﻓﺊ ﻟﻠﺠﺪﺭﺍﻥ ﺍﻟﺜﻘﻴﻠﺔ ﻋﻠﻰ ﺍﻷﺳﻘﻒ ﺍﳌﺴﻠﺤﺔ ﻣﻘﺪﺭﺍﹰ ﺑـ‬ ‫ﺍﻟﺘﺎﱄ ‪:‬‬

‫‪Wp‬‬ ‫‪e‬‬

‫) ‪(KN / m 2‬‬

‫ﻋﻠﻰ ﺍﻟﺸـﻜﻞ‬

‫= ‪we‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪26‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫•‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺍﻟﻈﻔﺮﻳﺔ ‪:‬‬

‫ﺃ‪ -‬ﻋﻨﺪﻣﺎ ﻳﺘﻮﺿﻊ ﺍﳉﺪﺍﺭ ﺑﺸﻜﻞ ﲪﻞ ﻣﻮﺯﻉ ﺑﺎﻧﺘﻈﺎﻡ ﺧﻄﻴﺎﹰ ﺑﺎﲡﺎﻩ ﳎﺎﺯ ﺍﻟﻈﻔﺮ ﻟﻠﺒﻼﻃﺔ ﺍﻟﻈﻔﺮﻳﺔ ‪ ,‬ﻛﻤﺎ ﻫﻮ ﻣﺒﲔ‬ ‫ﺑﺎﻟﺸﻜﻞ ) ‪ , ( a-6-2‬ﳛﺪﺩ ﺍﳊﻤﻞ ﺍﻹﺿﺎﰲ ﺍﳌﻜﺎﻓﺊ ﻟﻠﺠﺪﺭﺍﻥ ﺍﻟﺜﻘﻴﻠﺔ ﻋﻠﻰ ﺍﻷﺳﻘﻒ ﺍﳌﺴﻠﺤﺔ ﻣﻘﺪﺭﺍﹰ ﺑــ‬ ‫)‪ (KN/m2‬ﻋﻠﻰ ﺍﻟﺸﻜﻞ ﺍﻟﺘﺎﱄ ‪:‬‬

‫‪Wp‬‬ ‫‪e‬‬

‫= ‪we‬‬ ‫‪e ( m ) = h p + 0,3 L + h ≤ h p + 0,6 L‬‬

‫)‪(2-6‬‬

‫‪L‬‬

‫ـﺔ‬ ‫ـﺔ ﻇﻔﺮﻳـ‬ ‫ـﺮ ﻟﺒﻼﻃـ‬ ‫ﻃﺮﻑ ﺣـ‬ ‫‪h >0,3 L‬‬ ‫‪hp‬‬ ‫‪e‬‬ ‫‪0,3 L‬‬

‫ﺍﻟﻨﻬﺎﻳــﺔ ﺍﳊــﺮﺓ ﻟﻠﻈﻔــﺮ‬

‫ﺟﺪﺍﺭ‬

‫‪-a-‬‬

‫‪Wp‬‬

‫‪-b‬‬‫ﺍﻟﺸﻜﻞ ) ‪ ( 6-2‬ﲢﻤﻴﻞ ﺟﺪﺍﺭ ﻋﻠﻰ ﺑﻼﻃﺔ ﻇﻔﺮﻳﺔ‬

‫ﺣﻴﺚ ‪:‬‬

‫‪=h‬‬

‫ﺍﳌﺴﺎﻓﺔ ﺑﲔ ﺍﳉﺪﺍﺭ ﻭﺍﻟﻄﺮﻑ ﺍﳊﺮ ﺍﳉﺎﻧﱯ ﻟﻠﺒﻼﻃﺔ ﺍﻟﻈﻔﺮﻳﺔ ﻋﻠﻰ ﺃﻻ ﺗﺰﻳﺪ ﻋﻦ )‪. (0,3 L‬‬

‫ﺏ‪ -‬ﺃﻣﺎ ﻋﻨﺪﻣﺎ ﻳﻜﻮﻥ ﺍﳉﺪﺍﺭ ﻣﺮﻛﹼﺰﺍﹰ ﺑﺸﻜﻞ ﲪﻞ ﻣﺮﻛﹼﺰ ﻣﺘﻌﺎﻣﺪ ﻣﻊ ﳎﺎﺯ ﺍﻟﻈﻔﺮ ﻓﻴﺆﺧﺬ ﺗﺄﺛﲑﻫﺎ ﺑﺼﻔﺘﻬﺎ ﲪـﻼﹰ‬ ‫ﻣﺮﻛﺰﺍﹰ ﻛﻤﺎ ﻫﻮ ﻣﺒﲔ ﰲ ﺍﻟﺸﻜﻞ ) ‪. ( b-6-2‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪27‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫‪ 2-3-2‬ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ‪:‬‬ ‫ﻭﺗﻘﺴﻢ ﻫﺬﻩ ﺍﳊﻤﻮﻻﺕ ﺇﱃ ﺳﺘﺎﺗﻴﻜﻴﺔ ﻭﺩﻳﻨﺎﻣﻴﻜﻴﺔ ‪:‬‬ ‫ﺃ‪ -‬ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ﺍﻟﺴﺘﺎﺗﻴﻜﻴﺔ ‪:‬‬ ‫ﻭﻫﻲ ﺍﳊﻤﻮﻻﺕ ﺍﻟﻨﺎﲨﺔ ﻋﻦ ﺍﺳﺘﺜﻤﺎﺭ ﺍﻟﺒﻨﺎﺀ ﻭﺍﻟﺘﺠﻬﻴﺰﺍﺕ ﻭﺍﻵﻻﺕ ﺍﻟﺴﺘﺎﺗﻴﻜﻴﺔ ﻭﺍﳌﻮﺍﺩ ﺍﳌﺨﺰﻧﺔ ﻭﻏﲑﻫﺎ ‪ .‬ﻭﳝﻜـﻦ‬ ‫ﺍﻋﺘﻤﺎﺩ ﻗﻴﻢ ﺍﻟﻜﻮﺩ ﺍﻟﻌﺮﰊ ﺍﻟﺴﻮﺭﻱ ﻟﻠﺤﻤﻮﻻﺕ ﺍﻟﺴﺘﺎﺗﻴﻜﻴﺔ ﺍﳌﺆﻗﺘﺔ ﻭﻓﻖ ﺍﳉﺪﺍﻭﻝ ) ‪. ( 4-2‬‬ ‫ﺏ‪ -‬ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ﺍﻟﺪﻳﻨﺎﻣﻴﻜﻴﺔ ‪:‬‬ ‫ﻫﻲ ﺍﳊﻤﻮﻻﺕ ﺍﻟﻨﺎﲨﺔ ﻋﻦ ﺍﻟﻌﻮﺍﻣﻞ ﺍﳌﻨﺎﺧﻴﺔ ﻛﺘﺄﺛﲑﺍﺕ ﺍﳊﺮﺍﺭﺓ ﻭﺍﻻﻧﻜﻤﺎﺵ ﻭﺍﳍﺰﺍﺕ ﺍﻷﺭﺿﻴﺔ ﻭﲪﻮﻻﺕ ﺍﻟﺮﻳـﺎﺡ‬ ‫ﻭﺍﻟﻌﻮﺍﻣﻞ ﺍﻷﺧﺮﻯ ﺍﳌﻮﻟﺪﺓ ﻟﻠﺤﺮﻛﺔ ‪.‬‬ ‫ﻭﻳﻌﺪ‪ ‬ﺗﺄﺛﺮ ﺍﻟﺒﻼﻃﺎﺕ ﺍﻷﻓﻘﻴﺔ ﳍﺬﻩ ﺍﻷﻧﻮﺍﻉ ﻣﻦ ﺍﳊﻤﻮﻻﺕ ﺃﻗﻞ ﻣﻦ ﻏﲑﻫﺎ ﻣﻦ ﺍﻟﻌﻨﺎﺻﺮ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ .‬ﻭﳚﻮﺯ ﺑﺸـﻜﻞ‬ ‫ﺃﻭﱄ ﺿﺮﺏ ﺍﳊﻤﻮﻻﺕ ﺍﳊﻴﺔ ﺑﻌﺎﻣﻞ ﺗﻜﺒﲑ )‪ (1,2‬ﻳﺪﻋﻰ ﺍﻟﻌﺎﻣﻞ ﺍﻟﺪﻳﻨﺎﻣﻴﻜﻲ ﺇﺫﺍ ﻛﺎﻧﺖ ﻫﺬﻩ ﺍﳊﻤﻮﻻﺕ ﺗﻮﻟﺪ ﺃﻓﻌﺎﻻﹰ ﺣﺮﻛﻴﺔ‬ ‫ﻋﻠﻰ ﺍﳌﻨﺸﺂﺕ ‪.‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪28‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( 4-2‬ﺍﻷﲪﺎﻝ ﺍﻹﺿﺎﻓﻴﺔ ﻏﲑ ﺍﻟﺪﻳﻨﺎﻣﻜﻴﺔ ﺍﳌﻤﻴﺰﺓ‬ ‫ﺍﳌﻮﺯﻋﺔ ﺑﺎﻧﺘﻈﺎﻡ ﻭﺍﳌﺮﻛﺰﺓ ﻋﻠﻰ ﺍﳌﻨﺸﺄﺓ‬

‫ﺷﺪﺓ ﺍﳊﻤﻞ ﺍﳌﻮﺯﻉ‬

‫ﺍﻟﻐﺮﺽ ﻣﻦ ﺍﺳﺘﻌﻤﺎﻝ ﺍﻟﺒﻨﺎﺀ‬

‫ﻏﲑ ﻣﺴﺘﻌﻤﻠﺔ ﻻ‬ ‫ﺍﻟﺴﻄﻮﺡ‬

‫ﳝﻜﻦ ﺍﻟﻮﺻﻮﻝ‬ ‫ﺇﻟﻴﻬﺎ‬

‫ﺍﻷﺑﻨﻴﺔ ﺍﻟﺴﻜﻨﻴﺔ‬

‫ﺍﻟﻔﻨﺎﺩﻕ‬

‫ﺍﳌﺪﺍﺭﺱ‬

‫ﻣﺮﺑﻊ ﺿﻠﻌﻪ‬ ‫‪300mm‬‬

‫ﺃﻓﻘﻴﺔ ﺃﻭ ﻣﺎﺋﻠﺔ ﺣﱴ‬ ‫‪ 10‬ﺩﺭﺟﺎﺕ‬ ‫ﻣﺎﺋﻠﺔ ﺃﻛﺜﺮ ﻣﻦ ‪10‬‬

‫) ‪( KN/m2‬‬

‫) ‪( KN‬‬

‫‪1,0‬‬

‫‪-‬‬

‫‪0,5‬‬

‫‪-‬‬

‫ﻣﺜﻞ ﺍﻟﻄﺎﺑﻖ ﺍﳌﺘﻜﺮﺭ ﻭﻻ‬ ‫ﺗﻘﻞ ﻋﻦ ‪2,0‬‬

‫‪-‬‬

‫ﺃﺑﻨﻴﺔ ﺧﺎﺻﺔ‬

‫‪4,0‬‬

‫‪-‬‬

‫ﺃﺑﻨﻴﺔ ﻋﺎﻣﺔ‬

‫‪5,0‬‬

‫‪-‬‬

‫ﻏﺮﻑ‬

‫‪2,0‬‬

‫‪1,4‬‬

‫ﳑﺮﺍﺕ ﺧﺎﺭﺟﻴﺔ ﻭﺃﺩﺭﺍﺝ‬

‫‪3,0‬‬

‫‪1,8‬‬

‫ﻏﺮﻑ ﻧﻮﻡ‬

‫‪2,5‬‬

‫‪1,8‬‬

‫ﳑﺮﺍﺕ ﺧﺎﺭﺟﻴﺔ ﻭﺃﺩﺭﺍﺝ‬

‫‪5,0‬‬

‫‪4,5‬‬

‫ﻏﺮﻑ ﺻﻔﻮﻑ ﻭﺇﺩﺍﺭﺓ‬

‫‪3,0‬‬

‫‪2,7‬‬

‫ﳑﺮﺍﺕ ﻭﺃﺩﺭﺍﺝ‬

‫‪5,0‬‬

‫‪4,5‬‬

‫ﺩﺭﺟﺎﺕ‬

‫ﻣﺴﺘﻌﻤﻠﺔ )ﳝﻜﻦ ﺍﻟﻮﺻﻮﻝ ﺇﻟﻴﻬﺎ(‬

‫ﺍﻟﺸﺮﻓﺎﺕ‬

‫ﲪﻞ ﻣﺮﻛﺰ ﻣﻄﺒﻖ ﻋﻠﻰ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪29‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( 4-2‬ﺍﻷﲪﺎﻝ ﺍﻹﺿﺎﻓﻴﺔ ﻏﲑ ﺍﻟﺪﻳﻨﺎﻣﻜﻴﺔ ﺍﳌﻤﻴﺰﺓ‬ ‫ﺍﳌﻮﺯﻋﺔ ﺑﺎﻧﺘﻈﺎﻡ ﻭﺍﳌﺮﻛﺰﺓ ﻋﻠﻰ ﺍﳌﻨﺸﺄﺓ‬

‫ﺍﻟﻐﺮﺽ ﻣﻦ ﺍﺳﺘﻌﻤﺎﻝ ﺍﻟﺒﻨﺎﺀ‬

‫ﺍﳌﺸﺎﰲ‬

‫ﺃﻣﺎﻛﻦ ﺍﻟﺘﺠﻤﻊ‬ ‫ﺍﻟﻌﺎﻣﺔ‬

‫‪300mm‬‬ ‫) ‪( KN/m2‬‬

‫ﻏﺮﻑ ﻧﻮﻡ‬

‫‪2,5‬‬

‫‪1,8‬‬

‫ﳑﺮﺍﺕ ﺧﺎﺭﺟﻴﺔ ﻭﺃﺩﺭﺍﺝ‬

‫‪4,0‬‬

‫‪4,5‬‬

‫ﲢﺴﺐ ﻭﻻ ﺗﻘﻞ ﻋﻦ ‪3,0‬‬

‫‪4,5‬‬

‫ﺃﺑﻨﻴﺔ ﻋﺎﻣﺔ‬

‫‪3,0‬‬

‫‪2,7‬‬

‫ﺃﺑﻨﻴﺔ ﺧﺎﺻﺔ‬

‫‪2,0‬‬

‫‪2,7‬‬

‫‪4,0‬‬

‫‪4,5‬‬

‫‪3,0‬‬

‫‪4,5‬‬

‫ﺃﺿﺎﺑﲑ‬

‫ﲢﺴﺐ ﻭﻻ ﺗﻘﻞ ﻋﻦ ‪5,0‬‬

‫ﺗﺤﺴﺐ‬

‫ﻏﺮﻑ ﺣﺎﺳﻮﺏ‬

‫ﲢﺴﺐ ﻭﻻ ﺗﻘﻞ ﻋﻦ ‪4,0‬‬

‫ﺗﺤﺴﺐ‬

‫ﻏﺮﻑ ﻣﻄﺎﻟﻌﺔ ﺩﻭﻥ ﲣﺰﻳﻦ ﻛﺘﺐ‬

‫‪3,0‬‬

‫‪4,5‬‬

‫ﻏﺮﻑ ﻣﻄﺎﻟﻌﺔ ﻣﻊ ﲣﺰﻳﻦ ﻛﺘﺐ‬

‫‪5,0‬‬

‫‪4,5‬‬

‫ﺩﻭﺭ ﻋﺒﺎﺩﺓ‬

‫‪5,0‬‬

‫‪4,5‬‬

‫ﺃ‪‬ﺎﺀ ﻋﺎﻣﺔ ‪ ,‬ﻓﺴﺤﺎﺕ‬

‫‪5,0‬‬

‫‪4,5‬‬

‫ﻣﺴﺎﺭﺡ ‪ ,‬ﺳﻴﻨﻤﺎ‬

‫‪5,0‬‬

‫‪4,5‬‬

‫ﻏﺮﻑ‬

‫ﺍﳌﻜﺘﺒﺎﺕ‬

‫ﻣﺮﺑﻊ ﺿﻠﻌﻪ‬ ‫) ‪( KN‬‬

‫ﻏﺮﻑ ﻋﻤﻠﻴﺎﺕ‬

‫ﺍﳌﻜﺎﺗﺐ‬

‫ﺷﺪﺓ ﺍﳊﻤﻞ ﺍﳌﻮﺯﻉ‬

‫ﲪﻞ ﻣﺮﻛﺰ ﻣﻄﺒﻖ ﻋﻠﻰ‬

‫ـﺔ ﺃﺑﻨﻴﺔ ﻋﺎﻣﺔ‬ ‫ـﺮﺍﺕ ﺧﺎﺭﺟﻴـ‬ ‫ﳑـ‬ ‫ﻭﺃﺩﺭﺍﺝ‬ ‫ﺃﺑﻨﻴﺔ ﺧﺎﺻﺔ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪30‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( 4-2‬ﺍﻷﲪﺎﻝ ﺍﻹﺿﺎﻓﻴﺔ ﻏﲑ ﺍﻟﺪﻳﻨﺎﻣﻜﻴﺔ ﺍﳌﻤﻴﺰﺓ‬ ‫ﺍﳌﻮﺯﻋﺔ ﺑﺎﻧﺘﻈﺎﻡ ﻭﺍﳌﺮﻛﺰﺓ ﻋﻠﻰ ﺍﳌﻨﺸﺄﺓ‬

‫ﺍﻟﻐﺮﺽ ﻣﻦ ﺍﺳﺘﻌﻤﺎﻝ ﺍﻟﺒﻨﺎﺀ‬

‫ﺷﺪﺓ ﺍﳊﻤﻞ ﺍﳌﻮﺯﻉ‬

‫ﲪﻞ ﻣﺮﻛﺰ ﻣﻄﺒﻖ ﻋﻠﻰ‬ ‫ﻣﺮﺑﻊ ﺿﻠﻌﻪ‬ ‫‪300mm‬‬

‫) ‪( KN/m2‬‬

‫) ‪( KN‬‬

‫ﻣﻘﺎﻋﺪ ﺛﺎﺑﺘﺔ‬

‫‪5,0‬‬

‫‪-‬‬

‫ﻣﻘﺎﻋﺪ ﻣﺘﺤﺮﻛﺔ‬

‫‪6,0‬‬

‫‪3,6‬‬

‫ﺍﻟﺼﺎﻻﺕ‬

‫ﺭﻗﺺ ﻭﲨﺒﺎﺯ *‬

‫*‪6,0‬‬

‫*‪3,0‬‬

‫) ﺍﻟﻘﺎﻋﺎﺕ‬ ‫ﻭﺍﳌﺪﺭﺟﺎﺕ (‬

‫ﻏﺮﻑ ﺇﺳﻘﺎﻁ‬

‫‪6,0‬‬

‫‪3,6‬‬

‫ﻣﺪﺭﺟﺎﺕ ﺭﻳﺎﺿﻴﺔ *‬

‫*‪6,0‬‬

‫*‪3,0‬‬

‫ﻣﻨﺼﺔ ﻣﺴﺮﺡ *‬

‫*‪6,0‬‬

‫*‪3,6‬‬

‫ﻣﺘﺎﺣﻒ ﻭﻗﺎﻋﺎﺕ ﻓﻦ ﻭﻋﺮﺽ‬

‫ﲢﺴﺐ ﻭﻻ ﺗﻘﻞ ﻋﻦ ‪5,0‬‬

‫ﲢﺴﺐ‬

‫ﳐﺎﺯﻥ ﺳﻠﻊ ) ﻋﺮﺽ ﻭﺑﻴﻊ (‬

‫‪5,0‬‬

‫‪3,6‬‬

‫ﳐﺎﺯﻥ ﻛﺘﺐ‬ ‫ﺍﳌﺨﺎﺯﻥ‬

‫ﳐﺎﺯﻥ ﻭﺭﻕ ﻭ ﻗﺮﻃﺎﺳﻴﺔ ﻟﻠﻤﻄﺎﺑﻊ‬

‫ﻭﺍﳌﺴﺘﻮﺩﻋﺎﺕ‬ ‫ﺑﺮﺍﺩﺍﺕ ﺧﺰﻥ‬ ‫ﻣﺴﺘﻮﺩﻋﺎﺕ ﻣﺼـﺎﻧﻊ ﻭﺃﺑﻨﻴـﺔ ﻣﺸـﺎ‪‬ﺔ‬ ‫) ﺣﺴﺐ ﺍﳌﻮﺍﺩ ﻭﺍﻵﻻﺕ (‬

‫‪ 2,4‬ﻟﻜﻞ ﻣﺘﺮ ﺍﺭﺗﻔﺎﻉ ﻭﻻ‬ ‫ﺗﻘﻞ ﻋﻦ ‪7,0‬‬ ‫ﲢﺴﺐ ﻭﻻ ﺗﻘﻞ ﻋﻦ ‪4,0‬‬

‫ﻟﻜﻞ ﻣﺘﺮ ﻣﺮﺑﻊ‬

‫‪4,5‬‬

‫ﲢﺴﺐ‬

‫‪ 5,0‬ﻟﻜﻞ ﻣﺘﺮ ﺍﺭﺗﻔﺎﻉ ﻭﻻ‬ ‫ﺗﻘﻞ ﻋﻦ ‪15‬‬

‫ﲢﺴﺐ‬

‫‪5-10‬‬

‫ﲢﺴﺐ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪31‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( 4-2‬ﺍﻷﲪﺎﻝ ﺍﻹﺿﺎﻓﻴﺔ ﻏﲑ ﺍﻟﺪﻳﻨﺎﻣﻜﻴﺔ ﺍﳌﻤﻴﺰﺓ‬ ‫ﺍﳌﻮﺯﻋﺔ ﺑﺎﻧﺘﻈﺎﻡ ﻭﺍﳌﺮﻛﺰﺓ ﻋﻠﻰ ﺍﳌﻨﺸﺄﺓ‬

‫ﺍﻟﻐﺮﺽ ﻣﻦ ﺍﺳﺘﻌﻤﺎﻝ ﺍﻟﺒﻨﺎﺀ‬

‫‪300mm‬‬ ‫) ‪( KN/m2‬‬ ‫ﲢﺴﺐ ﻭﻻ ﺗﻘﻞ ﻋﻦ ‪6,0‬‬

‫ﺃﺳﻮﺃ ﻭﺿﻊ ﻟﻠﻌﺠﻼﺕ‬

‫‪6,0‬‬

‫‪9,0‬‬

‫ﲢﺴﺐ ﻭﻻ ﺗﻘﻞ ﻋﻦ ‪6,0‬‬

‫ﲢﺴﺐ ﻭﻻ ﺗﻘﻞ ﻋﻦ ‪9,0‬‬

‫‪2,0‬‬

‫‪-‬‬

‫ﻣﻄﺎﺑﺦ ﻋﺎﻣﺔ ‪ ,‬ﳐﺘﱪﺍﺕ‬

‫ﲢﺴﺐ ﻭﻻ ﺗﻘﻞ ﻋﻦ ‪3,0‬‬

‫‪-‬‬

‫ﻣﺼﺎﺑﻎ ‪ ,‬ﻏﺮﻑ ﻏﺴﻴﻞ‬

‫ﲢﺴﺐ ﻭﻻ ﺗﻘﻞ ﻋﻦ ‪3,0‬‬

‫‪4,5‬‬

‫ﻏﺮﻑ ﺳﺨﺎﻧﺎﺕ ﻭﻣﻀﺨﺎﺕ ﻭﻣﺮﺍﺟﻞ‬

‫‪7,5‬‬

‫‪4,5‬‬

‫ﺍﺳﺘﻮﺩﻳﻮ‬

‫‪4,0‬‬

‫ﲢﺴﺐ‬

‫ﻣﻄﺎﺑﻊ‬

‫ﲢﺴﺐ ﻭﻻ ﺗﻘﻞ ﻋﻦ ‪20,0‬‬

‫ﲢﺴﺐ‬

‫ﺍﻟﻮﺭﺷﺎﺕ‬

‫ﻣﻮﺍﻗﻒ ﻭ ﳑﺮﺍﺕ ﻭﻣﻨﺤﺪﺭﺍﺕ ﺳـﻴﺎﺭﺍﺕ‬

‫ﻭﻣﺮﺍﺋﺐ‬ ‫ﺍﻟﺴﻴﺎﺭﺍﺕ‬

‫ﺑﻮﺯﻥ ﺃﻗﻞ ﻣﻦ ‪25 KN‬‬

‫ﻣﻮﺍﻗﻒ ﻭﳑﺮﺍﺕ ﻭﻣﻨﺤﺪﺭﺍﺕ ﺳـﻴﺎﺭﺍﺕ‬ ‫ﺑﻮﺯﻥ ﺃﻛﺜﺮ ﻣﻦ ‪25 KN‬‬

‫ﻣﺮﺍﻓﻖ ﺻﺤﻴﺔ‬

‫ﳐﺘﻠﻔﺔ‬

‫ﻣﺮﺑﻊ ﺿﻠﻌﻪ‬ ‫) ‪( KN‬‬

‫ﻭﺭﺵ ﺗﺼﻠﻴﺢ‬

‫ﺍﺳﺘﻌﻤﺎﻻﺕ‬

‫ﺷﺪﺓ ﺍﳊﻤﻞ ﺍﳌﻮﺯﻉ‬

‫ﲪﻞ ﻣﺮﻛﺰ ﻣﻄﺒﻖ ﻋﻠﻰ‬

‫* ﺗﺼﻌﺪ ﻗﻴﻢ ﺍﻷﲪﺎﻝ ﻟﻠﻤﺪﺭﺟﺎﺕ ﺍﻟﺮﻳﺎﺿﻴﺔ ﻭﺻﺎﻻﺕ ﺍﻟﺮﻗﺺ ﻭﻣﻨﺼﺎﺕ ﺍﳌﺴﺎﺭﺡ ﺑﻌﺎﻣﻞ ﺩﻳﻨﺎﻣﻴﻜﻲ‬ ‫ﻻ ﻳﻘﻞ ﻋﻦ‬

‫‪. 1,1‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪32‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫‪ 4-2‬ﺣﺴﺎﺏ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ‪:‬‬ ‫ﳚﺮﻱ ﺣﺴﺎﺏ ﺍﻟﺒﻼﻃﺎﺕ ﻋﻠﻰ ﻣﺮﺣﻠﺘﲔ ‪:‬‬ ‫ﺍﻷﻭﱃ – ﻭﻫﻲ ﻣﺮﺣﻠﺔ ﺍﻟﺘﺤﻠﻴﻞ ﺣﻴﺚ ﻳﺘﻢ ﺣﺴﺎﺏ ﺍﻟﻘﻮﻯ ﰲ ﺍﳌﻘﺎﻃﻊ ﻭﲞﺎﺻﺔ ﻋـﺰﻭﻡ ﺍﻻﻧﻌﻄـﺎﻑ )‬ ‫) ‪ ( Mu‬ﰲ ﺍﳌﻘﺎﻃﻊ ﺍﳊﺴﺎﺑﻴﺔ ﺣﺴﺐ ﺍﳊﺎﻟﺔ ﻭﻓﻖ ﺍﳊﻤﻮﻻﺕ ﺍﳋﺎﺭﺟﻴﺔ ﺍﳌﻌﻄﺎﺓ ‪.‬‬

‫‪M‬‬

‫( ﺃﻭ‬

‫ﺍﻟﺜﺎﻧﻴﺔ – ﻭﻫﻲ ﻣﺮﺣﻠﺔ ﺣﺴﺎﺏ ﻣﻘﺎﻃﻊ ﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻔﻌﺎﻝ )‪ , (As‬ﺍﻟﻼﺯﻡ ﳌﻘﺎﻭﻣﺔ ﺍﳉﻬﻮﺩ ﺍﳌﻄﺒﻘﺔ ﰲ ﺍﳌﻘﺎﻃﻊ ‪.‬‬ ‫ﻳﺘﻢ ﲢﻠﻴﻞ ﻭﺗﺼﻤﻴﻢ ﻣﻘﺎﻃﻊ ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ﻋﻠﻰ ﺃﺳﺎﺱ ﺷﺮﺍﺋﺢ ﺑﻌﺮﺽ ﻭﺣﺪﺓ ﺍﻟﻄﻮﻝ ‪ ,‬ﰲ ﺍﲡـﺎﻩ‬ ‫ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌ‪‬ﺎﻝ ﺑﲔ ﺍﳌﺴﻨﺪﻳﻦ ﺍﳌﺘﻘﺎﺑﻠﲔ ‪.‬‬ ‫‪ 1-4-2‬ﲢﻠﻴﻞ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ‪:‬‬ ‫ﺗﺘﻌﺮﺽ ﺍﻟﺒﻼﻃﺎﺕ ﺑﺸﻜﻞ ﻋﺎﻡ ﺇﱃ ﲪﻮﻻﺕ ﺷﺎﻗﻮﻟﻴﺔ ﻣﺘﻌﺎﻣﺪﺓ ﻣﻊ ﻣﺴﺘﻮﻳﻬﺎ ‪ ,‬ﻓﻬﻲ ﺑﺬﻟﻚ ﺗﺘﺄﺛﺮ ﺑﻌﺰﻭﻡ ﺍﻻﻧﻌﻄﺎﻑ‬ ‫ﻭﺍﻟﻘﻮﻯ ﺍﻟﻘﺎﺻﺔ ﺑﺸﻜﻞ ﻛﺒﲑ ‪ ,‬ﻭﺇﻥ ﻣﺎ ﻳﺆﺛﺮ ﻋﻠﻰ ﺍﻟﺒﻼﻃﺎﺕ ﻣﻦ ﺟﻬﻮﺩ ﻓﺘﻞ ﺃﻭ ﻗﻮﻯ ﳏﻮﺭﻳﺔ ‪ ,‬ﻻ ﻳﺆﺧـﺬ ﻋـﺎﺩﺓﹰ ﺑﻌـﲔ‬ ‫ﺍﻻﻋﺘﺒﺎﺭ ﻧﻈﺮﺍﹰ ﻟﺼﻐﺮ ﻫﺬﻩ ﺍﳉﻬﻮﺩ ﻭﺍﻟﻘﻮﻯ ﺑﺎﳌﻘﺎﺭﻧﺔ ﻣﻊ ﺍﳌﻘﺎﻃﻊ ﺍﻟﺒﻴﺘﻮﻧﻴﺔ ﺍﳌﺘﻮﻓﺮﺓ ‪ ,‬ﻏﲑ ﺃﻧﻪ ﻳﺘﻮﺟﺐ ﺩﺭﺍﺳﺔ ﻫﺬﻩ ﺍﻷﻧﻮﺍﻉ ﻣﻦ‬ ‫ﺍﳉﻬﻮﺩ ﺣﻴﺚ ﻻ ﳝﻜﻦ ﺇﳘﺎﳍﺎ ﰲ ﺑﻌﺾ ﺍﳊﺎﻻﺕ ﺍﳋﺎﺻﺔ ﻭﺍﳍﺎﻣﺔ ‪.‬‬ ‫ﻭﺑﺼﻮﺭﺓ ﻋﺎﻣﺔ ‪ ,‬ﺗﻄﺒﻖ ﻋﻨﺪ ﺣﺴﺎﺏ ﺍﻟﻘﻮﻯ ﻭ ﺍﻟﻌﺰﻭﻡ ﰲ ﻫﺬﻩ ﺍﻟﻌﻨﺎﺻﺮ ‪ ,‬ﺍﻟﻘﻮﺍﻋﺪ ﺫﺍ‪‬ﺎ ﺍﻟﱵ ﺗﺴﺮﻱ ﻋﻠﻰ ﺣﺴـﺎﺏ‬ ‫ﺍﳉﻮﺍﺋﺰ ﺍﻟﻌﺎﺩﻳﺔ ﻭﺍﻟﻌﻨﺎﺻﺮ ﺍﳋﻄﻴﺔ ﺍﻷﺧﺮﻯ ‪ ,‬ﻭﻳﺘﻢ ﺫﻟﻚ ﻣﻦ ﺧﻼﻝ ﺩﺭﺍﺳﺔ ﺷﺮﳛﺔ ﻣﻘﺘﻄﻌﺔ ﻣﻦ ﺍﻟﺒﻼﻃﺎﺕ ﺑﻌﺮﺽ ﻭﺍﺣـﺪﺓ‬ ‫ﺍﻷﺑﻌﺎﺩ ) ‪ ( 1 m‬ﻣﺘﻌﺎﻣﺪﺓ ﻣﻊ ﺍﳌﺴﻨﺪﻳﻦ ﺍﳌﺘﻘﺎﺑﻠﲔ ﰲ ﺍﲡﺎﻩ ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌﺎﻝ ) ﻛﻤﺎ ﻫﻮ ﻣﺒﲔ ﺑﺎﻟﺸﻜﻞ ) ‪ , ( ( 7-2‬ﻛﻤﺎ ﺗﻌﺘﱪ‬ ‫ﺍﳉﻮﺍﺋﺰ ﺍﻟﺜﺎﻧﻮﻳﺔ ﻣﺴﺎﻧﺪ ﻟﻠﺒﻼﻃﺔ‪.‬‬

‫‪L2‬‬

‫‪m‬‬ ‫‪1‬‬

‫‪L1‬‬

‫‪L2‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 7-2‬ﺍﻟﺸﺮﳛﺔ ﺍﳌﺘﺮﻳﺔ ﺍﳌﺪﺭﻭﺳﺔ‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪33‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺗﻌﺘﱪ ﺍﳊﻤﻮﻻﺕ ﺍﳌﻄﺒﻘﺔ ﻋﻠﻰ ‪ 1 m2‬ﻣﻦ ﺍﻟﺒﻼﻃﺔ ‪ ,‬ﻫﻲ ﺍﳊﻤﻮﻻﺕ ﺍﳌﻄﺒﻘﺔ ﻧﻔﺴﻬﺎ ﻋﻠﻰ ﺍﻟﺸﺮﳛﺔ ﺍﳌﺪﺭﻭﺳﺔ ‪.‬‬ ‫‪‬ﺬﺍ ﺍﻟﺸﻜﻞ ﺗﺪﺭﺱ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﻛﺠﻮﺍﺋﺰ ﻣﺴﺘﻤﺮﺓ ‪ ,‬ﺗﻄﺒﻖ ﻋﻠﻴﻬﺎ ﲪﻮﻻﺕ ﻣﻮﺯﻋﺔ ) ‪ (w = g + p‬ﺃﻭ )‬ ‫‪. (= gu + pu‬‬

‫‪wu‬‬

‫ﺣﻴﺚ ‪ g :‬ﻗﻴﻤﺔ ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ ) ﺍﳌﻴﺘﺔ ( ﰲ ﺣﺎﻟﺔ ﺣﺪ ﺍﻻﺳـﺘﺜﻤﺎﺭ‬ ‫ﺍﻟﺪﺍﺋﻤﺔ ﺍﳌﺼﻌﺪﺓ ﰲ ﺣﺎﻟﺔ ﺍﳊﺪ ﺍﻷﻗﺼﻰ ‪.‬‬

‫ﻭ‬

‫‪ p‬ﻗﻴﻤﺔ ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ) ﺍﳊﻴﺔ ( ﰲ ﺣﺎﻟﺔ ﺣﺪ ﺍﻻﺳـﺘﺜﻤﺎﺭ‬ ‫ﺍﻹﺿﺎﻓﻴﺔ ﺍﳌﺼﻌﺪﺓ ﰲ ﺣﺎﻟﺔ ﺍﳊﺪ ﺍﻷﻗﺼﻰ ‪.‬‬

‫ﻭ ‪ pu = 1,8.p‬ﺍﳊﻤـﻮﻻﺕ‬

‫‪w‬‬

‫ﺍﻷﻗﺼﻰ ‪.‬‬

‫ﻗﻴﻤﺔ ﺍﳊﻤﻮﻻﺕ ﺍﻟﻜﻠﻴﺔ ﰲ ﺣﺎﻟﺔ ﺣﺪ ﺍﻻﺳﺘﺜﻤﺎﺭ ﻭ‬

‫‪wu‬‬

‫‪1,5.g‬‬

‫= ‪ gu‬ﺍﳊﻤـﻮﻻﺕ‬

‫ﻗﻴﻤﺔ ﺍﳊﻤﻮﻻﺕ ﺍﻟﻜﻠﻴﺔ ﺍﳌﺼﻌﺪﺓ ﰲ ﺣﺎﻟﺔ ﺍﳊﺪ‬

‫ﺃﻭﻻﹰ ‪ :‬ﺣﺎﻻﺕ ﺍﻟﺘﺤﻤﻴﻞ‬ ‫ﺃ ‪ -‬ﺇﺫﺍ ﻛﺎﻧﺖ ﺍﻷﲪﺎﻝ ﺍﻹﺿﺎﻓﻴﺔ ﺍﳌﺼﻌﺪﺓ ﻻ ﺗﺘﺠﺎﻭﺯ ﺛﻠﺚ ﺍﻷﲪﺎﻝ ﺍﻟﺪﺍﺋﻤﺔ ﺍﳌﺼﻌﺪﺓ ﰲ ﻛﻞ ﳎﺎﺯ ﳝﻜﻦ ﺩﺭﺍﺳﺔ ﺣﺎﻟﺔ‬ ‫ﻭﺍﺣﺪﺓ ﻭﻫﻲ ﺣﺎﻟﺔ ﲢﻤﻴﻞ ﲨﻴﻊ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻤﺮﺓ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ﺑﻜﺎﻣﻞ ﺍﻷﲪﺎﻝ ﺍﻟﺪﺍﺋﻤﺔ ﻭﺍﻹﺿﺎﻓﻴﺔ ﰲ ﺁﻥ‪ ‬ﻭﺍﺣﺪ )‬ ‫ﺃﲪﺎﻝ ﺍﺳﺘﺜﻤﺎﺭ ﺃﻭ ﺃﲪﺎﻝ ﻣﺼﻌﺪﺓ ﺣﺴﺐ ﺍﳊﺎﻟﺔ ﺍﳌﺪﺭﻭﺳﺔ ( ﻛﻤﺎ ﰲ ﺍﻟﺸﻜﻞ ) ‪. ( 8-2‬‬ ‫‪p or pu‬‬ ‫‪g or gu‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 8-2‬ﺣﺎﻟﺔ ﲢﻤﻴﻞ ﻛﺎﻣﻞ ﺍﻷﲪﺎﻝ ﰲ ﺁﻥ‪ ‬ﻭﺍﺣﺪ‬

‫ﺏ ‪ -‬ﺇﺫﺍ ﻛﺎﻧﺖ ﺍﻷﲪﺎﻝ ﺍﻹﺿﺎﻓﻴﺔ ﺍﳌﺼﻌﺪﺓ ﺃﻛﱪ ﻣﻦ ﺛﻠﺚ ﺍﻷﲪﺎﻝ ﺍﻟﺪﺍﺋﻤﺔ ﺍﳌﺼﻌﺪﺓ ﰲ ﻛﻞ ﳎﺎﺯ ﳚﻮﺯ ﺍﻻﻛﺘﻔﺎﺀ‬ ‫ﲝﺎﻻﺕ ﺍﻟﺘﺤﻤﻴﻞ ﺍﻵﺗﻴﺔ ‪:‬‬ ‫§ ﻳﻄﺒﻖ ﺍﳊﻤﻞ ﺍﻟﺪﺍﺋﻢ ﻋﻠﻰ ﲨﻴﻊ ﺍ‪‬ﺎﺯﺍﺕ ﻭﺍﳊﻤﻞ ﺍﻹﺿﺎﰲ ﻋﻠﻰ ﺍ‪‬ﺎﺯﺍﺕ ﺑﺎﻟﺘﻨﺎﻭﺏ ﻭﺫﻟﻚ ﻟﻠﺤﺼـﻮﻝ ﻋﻠـﻰ‬ ‫ﻋﺰﻭﻡ ﺍﻻﻧﻌﻄﺎﻑ ﺍﻷﻋﻈﻤﻴﺔ ﰲ ﺍ‪‬ﺎﺯﺍﺕ ﺍﳋﺎﺿﻌﺔ ﻟﻠﺤﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ ﻭﺍﻹﺿﺎﻓﻴﺔ ﻛﻤﺎ ﰲ ﺍﻟﺸﻜﻞ ) ‪. ( 9-2‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪34‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫‪p or pu‬‬

‫‪p or pu‬‬ ‫‪g or gu‬‬ ‫)‪(3‬‬

‫)‪(4‬‬ ‫)‪(d‬‬

‫)‪(e‬‬

‫)‪(1‬‬

‫)‪(2‬‬ ‫)‪(c‬‬

‫)‪(b‬‬

‫‪Mmax‬‬

‫)‪(a‬‬ ‫‪Mmax‬‬

‫‪p or pu‬‬

‫‪p or pu‬‬

‫‪g or gu‬‬ ‫)‪(4‬‬ ‫)‪(e‬‬

‫)‪(3‬‬ ‫)‪(d‬‬

‫)‪(1‬‬

‫)‪(2‬‬ ‫)‪(c‬‬

‫‪Mmax‬‬

‫)‪(a‬‬

‫)‪(b‬‬ ‫‪Mmax‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 9-2‬ﺣﺎﻻﺕ ﲢﻤﻴﻞ ﺗﻌﻄﻲ ﻋﺰﻭﻡ ﺍﻻﻧﻌﻄﺎﻑ ﺍﻷﻋﻈﻤﻴﺔ ﰲ ﺍ‪‬ﺎﺯﺍﺕ‬

‫§ ﻳﻄﺒﻖ ﺍﳊﻤﻞ ﺍﻟﺪﺍﺋﻢ ﻋﻠﻰ ﲨﻴﻊ ﺍ‪‬ﺎﺯﺍﺕ ﻭﺍﳊﻤﻞ ﺍﻹﺿﺎﰲ ﻋﻠﻰ ﳎﺎﺯﻳﻦ ﻣﺘﺘﺎﻟﻴﲔ ﻭﻣﻦ ﰒ ﻳﺘﻢ ﺗﻄﺒﻴﻖ ﺍﳊﻤـﻞ‬ ‫ﺍﻹﺿﺎﰲ ﻋﻠﻰ ﺍ‪‬ﺎﺯﺍﺕ ﺍﻷﺧﺮﻯ ﺑﺎﻟﺘﻨﺎﻭﺏ ﻭﺫﻟﻚ ﻟﻠﺤﺼﻮﻝ ﻋﻠﻰ ﻋﺰﻭﻡ ﺍﻻﻧﻌﻄﺎﻑ ﻭﺭﺩﻭﺩ ﺍﻷﻓﻌﺎﻝ ﺍﻷﻋﻈﻤﻴﺔ‬ ‫ﰲ ﺍﳌﺴﺎﻧﺪ ﻛﻤﺎ ﰲ ﺍﻟﺸﻜﻞ ) ‪. ( 10-2‬‬ ‫‪Mmin‬‬ ‫‪p or pu‬‬

‫‪p or pu‬‬ ‫‪g or gu‬‬ ‫)‪(4‬‬ ‫)‪(e‬‬

‫)‪(3‬‬ ‫)‪(d‬‬

‫)‪(2‬‬ ‫)‪(c‬‬

‫)‪(1‬‬ ‫)‪(a‬‬

‫)‪(b‬‬ ‫‪Rmax‬‬

‫‪Mmin‬‬ ‫‪p or pu‬‬ ‫‪g or gu‬‬ ‫)‪(4‬‬ ‫)‪(e‬‬

‫)‪(3‬‬ ‫)‪(d‬‬

‫)‪(2‬‬ ‫)‪(c‬‬ ‫‪Rmax‬‬

‫)‪(1‬‬ ‫)‪(b‬‬

‫‪Mmin‬‬ ‫‪p or pu‬‬

‫)‪(a‬‬

‫‪p or pu‬‬ ‫‪g or gu‬‬

‫)‪(4‬‬ ‫)‪(e‬‬

‫)‪(3‬‬ ‫)‪(d‬‬ ‫‪Rmax‬‬

‫)‪(2‬‬ ‫)‪(c‬‬

‫)‪(1‬‬ ‫)‪(b‬‬

‫)‪(a‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 10-2‬ﺣﺎﻻﺕ ﲢﻤﻴﻞ ﺗﻌﻄﻲ ﻋﺰﻭﻡ ﺍﻻﻧﻌﻄﺎﻑ ﻭﺭﺩﻭﺩ ﺍﻷﻓﻌﺎﻝ ﺍﻷﻋﻈﻤﻴﺔ ﰲ ﺍﳌﺴﺎﻧﺪ‬

‫ﺝ ‪ -‬ﺇﺫﺍ ﻛﺎﻧﺖ ﺍﻷﲪﺎﻝ ﺍﻹﺿﺎﻓﻴﺔ ﺍﳌﺼﻌﺪﺓ ﺃﻛﱪ ﻣﻦ ﺿﻌﻒ ﺍﻷﲪﺎﻝ ﺍﻟﺪﺍﺋﻤﺔ ﺍﳌﺼﻌﺪﺓ ﳚﺐ ﺩﺭﺍﺳﺔ ﺣﺎﻻﺕ ﲢﻤﻴﻞ‬ ‫ﺇﺿﺎﻓﻴﺔ ﺃﺧﺮﻯ ‪.‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪35‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺛﺎﻧﻴﺎﹰ ‪ :‬ﺣﺴﺎﺏ ﻋﺰﻭﻡ ﺍﻻﻧﻌﻄﺎﻑ‬ ‫ﳝﻜﻦ ﺣﺴﺎﺏ ﻋﺰﻭﻡ ﺍﻻﻧﻌﻄﺎﻑ ﻟﺸﺮﺍﺋﺢ ﺑﻌﺮﺽ ﻭﺍﺣﺪﺓ ﺍﻟﻄﻮﻝ ‪ ,‬ﰲ ﺍﲡﺎﻩ ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌﺎﻝ ﺑﲔ ﺍﻟﺮﻛﻴﺰﺗﲔ ﺍﳌﺘﻘـﺎﺑﻠﺘﲔ‬ ‫ﻛﻤﺎ ﻳﻠﻲ ‪:‬‬ ‫‪ -1‬ﰲ ﺣﺎﻝ ﲢﻘﻖ ﺍﻻﺷﺘﺮﺍﻃﺎﺕ ﺍﻟﺘﺎﻟﻴﺔ ‪:‬‬ ‫ﺃ‪ -‬ﺍﻷﲪﺎﻝ ﻣﻮﺯﻋﺔ ﺑﺎﻧﺘﻈﺎﻡ ‪.‬‬ ‫ﺏ‪ -‬ﻻ ﻳﺰﻳﺪ ﺍﳊﻤﻞ ﺍﳊﻲ ﺍﳌﺼﻌ‪‬ﺪ ﻋﻦ ﺿﻌﻒ ﺍﳊﻤﻞ ﺍﳌﻴﺖ ﺍﳌﺼﻌ‪‬ﺪ ‪.‬‬ ‫ﺝ‪ -‬ﻻ ﻳﺰﻳﺪ ﺍﻻﺧﺘﻼﻑ ﺑﲔ ﻛﻞ ﳎﺎﺯﻳﻦ ﻣﺘﺠﺎﻭﺭﻳﻦ ﻋﻠﻰ ‪ 25%‬ﻣﻦ ﺍ‪‬ﺎﺯ ﺍﻷﻛﱪ ‪.‬‬ ‫ﳛﺴﺐ ﻋﺰﻡ ﺍﻻﻧﻌﻄﺎﻑ ﺑﻄﺮﻳﻘﺔ ﺗﻘﺮﻳﺒﻴﺔ ﻣﻦ ﺍﻟﻌﻼﻗﺔ ﺍﻟﺘﺎﻟﻴﺔ ‪:‬‬ ‫‪M = w . L2 / k‬‬

‫)‪(2-7‬‬

‫ﺣﻴﺚ ‪ w :‬ﺍﳊﻤﻮﻻﺕ ﺍﻟﻜﻠﻴﺔ ﻋﻠﻰ ﺍﻟﺒﻼﻃﺎﺕ )ﺩﺍﺋﻤﺔ‪+‬ﺇﺿﺎﻓﻴﺔ( ﻋﻨﺪ ﺣﺴﺎﺏ ﺍﻟﻌﺰﻡ ﺍﳌﻮﺟﺐ ﰲ ﳎﺎﺯ ﺍﻟﺒﻼﻃـﺎﺕ ‪,‬‬ ‫ﻭﻣﺘﻮﺳﻂ ﲪﻠﻲ ﺍﻟﺒﻼﻃﺘﲔ ﺍﳌﺘﺠﺎﻭﺭﺗﲔ ﻋﻨﺪ ﺣﺴﺎﺏ ﺍﻟﻌﺰﻡ ﺍﻟﺴﺎﻟﺐ ﻓﻮﻕ ﺍﳌﺴﻨﺪ ‪ ,‬ﻭﻳﺆﺧﺬ ‪ wu‬ﰲ ﺣﺎﻟﺔ ﺍﳊﺪ ﺍﻷﻗﺼﻰ ‪.‬‬ ‫‪ L‬ﻃﻮﻝ ﳎﺎﺯ ﺍﻟﺒﻼﻃﺔ ﻋﻨﺪ ﺣﺴﺎﺏ ﺍﻟﻌﺰﻡ ﺍﳌﻮﺟﺐ ﰲ ﺍ‪‬ﺎﺯ ‪ ,‬ﻭﻣﺘﻮﺳﻂ ﻃﻮﱄ ﳎﺎﺯﻱ ﺍﻟﺒﻼﻃﺘﲔ ﺍﳌﺘﺠـﺎﻭﺭﺗﲔ ‪,‬‬ ‫ﻋﻨﺪ ﺣﺴﺎﺏ ﺍﻟﻌﺰﻡ ﺍﻟﺴﺎﻟﺐ ﻓﻮﻕ ﺍﳌﺴﺎﻧﺪ ‪.‬‬ ‫‪ = k‬ﻣﻌﺎﻣﻞ ﻳﺆﺧﺬ ﻣﻦ ﺍﻟﺸﻜﻞ ) ‪. ( 11-2‬‬ ‫‪-20‬‬

‫‪-20‬‬ ‫‪8‬‬

‫‪-20‬‬

‫‪-9‬‬ ‫‪11‬‬

‫‪-12‬‬

‫‪-12‬‬ ‫‪12‬‬

‫‪-20‬‬ ‫‪11‬‬

‫‪-10‬‬ ‫‪12‬‬

‫‪-20‬‬ ‫‪10‬‬

‫=‪k‬‬

‫=‪k‬‬

‫=‪k‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 11-2‬ﻗﻴﻢ ﺍﳌﻌﺎﻣﻞ ‪ k‬ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻤﺮﺓ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪36‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫‪ -2‬ﻋﻨﺪﻣﺎ ﻻ ﺗﺘﺤﻘﻖ ﺍﻻﺷﺘﺮﺍﻃﺎﺕ ﺍﻟﻮﺍﺭﺩﺓ ﰲ ) ‪ ( 1‬ﺃﻋﻼﻩ ‪ ,‬ﻻ ﳝﻜﻦ ﺍﺳﺘﻌﻤﺎﻝ ﺍﳌﻌﺎﻣﻼﺕ ﺍﳌﻮﺿﺤﺔ ﺑﺎﻟﺸـﻜﻞ‬ ‫ﻭﺇﳕﺎ ﲢﺴﺐ ﺍﻟﻌﺰﻭﻡ ﺍﻟﺴﺎﻟﺒﺔ ﺑﺎﺳﺘﻌﻤﺎﻝ ﺍﻟﻮﺛﺎﻗﺔ ﻋﻨﺪ ﺍﳌﺴﻨﺪ ﺃﻭﻻﹰ‪ ,‬ﰒ ﺑﺈﺟﺮﺍﺀ ﻋﻤﻠﻴﺔ ﺗﻮﺯﻳﻊ ﻭﺍﺣﺪﺓ ﻓﻘﻂ ‪ ,‬ﻭﻓﻖ ﺍﻟﻘﺴـﺎﻭﺍﺕ‬ ‫ﻟﻠﻤﺠﺎﺯﻳﻦ ﺍﳌﺘﺠﺎﻭﺭﻳﻦ ) ﺃﻭ ﺑﺎﺳﺘﻌﻤﺎﻝ ﺃﻳﺔ ﻃﺮﻳﻘﺔ ﺇﻧﺸﺎﺋﻴﺔ ﺃﺧﺮﻯ ( ‪ ,‬ﺃﻣﺎ ﺍﻟﻌﺰﻭﻡ ﺍﳌﻮﺟﺒﺔ ﰲ ﺍ‪‬ﺎﺯﺍﺕ ‪ ,‬ﻓﺘﺤﺴﺐ ﻛﻤﺎ ﻳﻠﻲ‬ ‫) ﺍﻧﻈﺮ ﺍﻟﺸﻜﻞ ) ‪: ( ( 12-2‬‬ ‫) ‪( 11-2‬‬

‫‪M2‬‬

‫‪M1‬‬

‫‪MS1‬‬

‫‪MS2‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 12-2‬ﺣﺴﺎﺏ ﺍﻟﻌﺰﻭﻡ ﺍﳌﻮﺟﺒﺔ ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻤﺮﺓ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺃ‪ -‬ﺍ‪‬ﺎﺯﺍﺕ ﺍﻟﻄﺮﻓﻴﺔ‪:‬‬ ‫)‪(2-8‬‬

‫‪M S 1 = 1, 2M 0 − 0, 4M 1‬‬

‫ﺏ‪ -‬ﺍ‪‬ﺎﺯﺍﺕ ﺍﻟﻮﺳﻄﻴﺔ‪:‬‬ ‫)‪(2-9‬‬

‫‪ M +M2 ‬‬ ‫‪M S 2 = 1,1M 0 −  1‬‬ ‫‪‬‬ ‫‪2‬‬ ‫‪‬‬ ‫‪‬‬

‫ﺣﻴﺚ‪:‬‬ ‫‪ = M 0‬ﺍﻟﻌﺰﻡ ﺍﻷﻋﻈﻤﻲ ﺍﳌﻮﺟﺐ ﻟﻠﺠﺎﺋﺰ ﺍﻟﺒﺴﻴﻂ ‪.‬‬ ‫‪ = M 1‬ﺍﻟﻌﺰﻡ ﺍﻟﺴﺎﻟﺐ ﻋﻨﺪ ﺍﳌﺴﻨﺪ ﺍﳌﺴﺘﻤﺮ ﰲ ﳎﺎﺯ ﻃﺮﰲ ‪ ,‬ﺃﻭ ﺍﻟﻌﺰﻡ ﺍﻟﺴﺎﻟﺐ ﻋﻨﺪ ﺍﳌﺴﻨﺪ ﺍﻷﻳﺴﺮ ﰲ ﳎﺎﺯ ﻭﺳﻄﻲ ‪ ,‬ﻭﻳﺆﺧﺬ‬ ‫ﺑﻘﻴﻤﺘﻪ ﺍﳌﻄﻠﻘﺔ ‪.‬‬ ‫‪ = M 2‬ﺍﻟﻌﺰﻡ ﺍﻟﺴﺎﻟﺐ ﻋﻨﺪ ﺍﳌﺴﻨﺪ ﺍﻷﳝﻦ ﰲ ﳎﺎﺯ ﻭﺳﻄﻲ ‪ ,‬ﻭﻳﺆﺧﺬ ﺑﻘﻴﻤﺘﻪ ﺍﳌﻄﻠﻘﺔ ‪.‬‬ ‫‪ = M S 1‬ﺍﻟﻌﺰﻡ ﺍﳌﻮﺟﺐ ﺍﻟﺘﺼﻤﻴﻤﻲ ﰲ ﺍ‪‬ﺎﺯ ﺍﻟﻄﺮﰲ ‪.‬‬ ‫‪ = M S 2‬ﺍﻟﻌﺰﻡ ﺍﳌﻮﺟﺐ ﺍﻟﺘﺼﻤﻴﻤﻲ ﰲ ﺍ‪‬ﺎﺯ ﺍﻟﻮﺳﻄﻲ ‪.‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪37‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫‪1‬‬ ‫ﻭﳚﺐ ﺃﻻ ﻳﻘﻞ ﺍﻟﻌﺰﻡ ﺍﳌﻮﺟﺐ ﺍﻟﺘﺼﻤﻴﻤﻲ ﰲ ﻛﻞ ﳎﺎﺯ ﻋﻦ ‪M 0‬‬ ‫‪2‬‬

‫ﻟﻠﻤﺠﺎﺯ ﺫﺍﺗﻪ ‪ ,‬ﻭﰲ ﺣﺎﻝ ﻭﺟﻮﺩ ﻋﺰﻡ ﺳـﺎﻟﺐ ﰲ‬

‫ﺍ‪‬ﺎﺯ ‪ ,‬ﺗﺘﻢ ﻣﻘﺎﻭﻣﺘﻪ ﺑﺘﺴﻠﻴﺢ ﻋﻠﻮﻱ ﺣﺴﺐ ﻣﻐﻠﻒ ﺍﻟﻌﺰﻭﻡ ‪ ,‬ﻭﺗﺆﺧﺬ ﺍﻟﻌﺰﻭﻡ ﺍﻟﻨﺎﲨﺔ ﻋﻦ ﺍﻷﲪﺎﻝ ﺍﻻﺳﺘﺜﻤﺎﺭﻳﺔ ‪ ,‬ﰲ ﺣﺎﻻﺕ‬ ‫ﺣﺪﻭﺩ ﺍﻻﺳﺘﺜﻤﺎﺭ‪ ,‬ﻭﺍﳌﺼﻌ‪‬ﺪﺓ ﰲ ﺣﺎﻟﺔ ﺍﳊﺪ ﺍﻷﻗﺼﻰ ‪.‬‬ ‫‪ -3‬ﰲ ﺣﺎﻟﺔ ﺍﻷﻇﻔﺎﺭ ﺍﳌﺴﺘﻤﺮﺓ ﻣﻊ ﺍﻟﺒﻼﻃﺔ ‪ ,‬ﻳﺆﺧﺬ ﺍﻟﻌﺰﻡ ﺍﻟﺴﺎﻟﺐ ﻓﻮﻕ ﺍﳌﺴﻨﺪ ﺑﲔ ﺍﻟﺒﻼﻃﺔ ﻭﺍﻟﻈﻔﺮ ﻣﺴﺎﻭﻳﺎﹰ ﻟﻌﺰﻡ ﺍﻟﻈﻔﺮ‬ ‫ﺩﻭﻥ ﺗﻨﻘﻴﺺ ‪ ,‬ﺃﻣﺎ ﻋﺰﻡ ﺍﻟﺒﻼﻃﺔ ﺍ‪‬ﺎﻭﺭﺓ ﻟﻠﻈﻔﺮ ) ﻭﳘﺎ‪ :‬ﺍﻟﻌﺰﻡ ﺍﳌﻮﺟﺐ ﰲ ﻭﺳﻂ ﺍﻟﺒﻼﻃﺔ ﻭﺍﻟﻌﺰﻡ ﺍﻟﺴﺎﻟﺐ ﻋﻠـﻰ ﺍﳌﺴـﻨﺪ‬ ‫ﺍﻵﺧﺮ ﻟﻠﺒﻼﻃﺔ ( ‪ ,‬ﻓﻴﻤﻜﻦ ﺣﺴﺎ‪‬ﻤﺎ ﺑﺎﻓﺘﺮﺍﺽ ﺃﻥ ﺍﻻﺳﺘﻤﺮﺍﺭ ﻣﻊ ﺍﻟﻈﻔﺮ ﻫﻮ ﻭﺛﺎﻗﺔ ﺗﺎﻣ‪‬ﺔ ﺇﺫﺍ ﻛﺎﻥ ﳎﺎﺯ ﺍﻟﻈﻔﺮ ﻻ ﻳﻘﻞ ﻋﻦ‬ ‫ﳎﺎﺯ ﺍﻟﺒﻼﻃﺔ ‪ ,‬ﺑﻴﻨﻤﺎ ﻳﻌﺪ‪ ‬ﺍﺳﺘﻨﺎﺩﺍﹰ ﺑﺴﻴﻄﺎﹰ ﺇﺫﺍ ﻛﺎﻥ ﳎﺎﺯ ﺍﻟﻈﻔﺮ ﺃﻗﻞ ﻣﻦ‬ ‫ﰲ ﺭﺩ ﻓﻌﻞ ﺍﳌﺴﻨﺪ ﺍﻟﻄﺮﰲ ﻧﺘﻴﺠﺔ ﺗﺄﺛﲑ ﻋﺰﻡ ﺍﻟﻈﻔﺮ ‪.‬‬

‫‪1‬‬ ‫‪3‬‬

‫‪1‬‬ ‫‪3‬‬

‫ﳎﺎﺯ ﺍﻟﺒﻼﻃﺔ ﺑﺎﻻﲡﺎﻩ ﺫﺍﺗﻪ ‪ ,‬ﻋﻠﻰ ﺃﻧﻪ ﳚﺐ ﺍﻟﺰﻳﺎﺩﺓ‬

‫‪ -4‬ﻳﺆﺧﺬ ﻋﺰﻡ ﺳﺎﻟﺐ ﺑﻨﻬﺎﻳﺔ ﺍﻟﻄﺮﻑ ﺍﻟﻄﻮﻳﻞ ﻟﻠﺒﻼﻃﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ )ﻋﻨﺪ ﻭﺟﻮﺩ ﺟﺎﺋﺰ ﰲ ﻫﺬﻩ ﺍﻟﻨﻬﺎﻳﺔ(‪ ,‬ﻣﺴﺎﻭﻳﺎﹰ‬ ‫ﺇﱃ ‪wL2 / 35 :‬‬ ‫ﺣﻴﺚ ‪:‬‬

‫‪=w‬‬ ‫‪=L‬‬

‫ﲪﻞ ﺍﻟﺒﻼﻃﺔ ﺍﻟﻜﻠﻲ )ﺣﻲ‪+‬ﻣﻴﺖ( ﻟﻠﺒﻼﻃﺔ ﰲ ﺣﺎﻻﺕ ﺣﺪﻭﺩ ﺍﻻﺳﺘﺜﻤﺎﺭ ‪ ,‬ﻭ ‪ w u‬ﰲ ﺣﺎﻟﺔ ﺣﺪ ﺍﻻ‪‬ﻴﺎﺭ ‪.‬‬ ‫ﻃﻮﻝ ﺍ‪‬ﺎﺯ ﰲ ﺍﻻﲡﺎﻩ ﺍﻟﻘﺼﲑ ﻟﻠﺒﻼﻃﺔ ‪.‬‬

‫‪ 2-4-2‬ﺗﺼﻤﻴﻢ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ‪:‬‬ ‫ﻳﺘﻢ ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﺍﳊﺮﺟﺔ ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺑﺎﻋﺘﺒﺎﺭﻫﺎ ﻣﻘﺎﻃﻊ ﻣﺴﺘﻄﻴﻠﺔ ﻋﺮﺿﻬﺎ ‪ 1 m‬ﻋﺮﺽ ﺍﻟﺸﺮﳛﺔ‬ ‫ﺍﳌﺪﺭﻭﺳﺔ ﻭﺍﺭﺗﻔﺎﻋﻬﺎ ﻫﻮ ﺍﻟﺴﻤﻚ ﺍﻟﻜﻠﻲ ﻟﻠﺒﻼﻃﺔ ‪ t‬ﻭﺍﻟﺬﻱ ﰎ ﲢﺪﻳﺪﻩ ﺍﺳﺘﻨﺎﺩﺍﹰ ﺇﱃ ﺍﻟﺒﻨﺪ ) ‪ ( 2-2‬ﻭﻳﻌﻤﻢ ﻫﺬﺍ ﺍﻟﺘﺼﻤﻴﻢ ﻋﻠﻰ‬ ‫ﻛﺎﻓﺔ ﺷﺮﺍﺋﺢ ﺍﻟﺒﻼﻃﺔ‪.‬‬ ‫ﻭﻋﻠﻴﻪ ﻓﺈﻥ ﻣﻌﻄﻴﺎﺕ ﺍﻟﺘﺼﻤﻴﻢ ﻭﺍﻟﺘﺤﻘﻴﻖ ﺍﳌﺘﻮﻓﺮﺓ ﻫﻲ ﻣﻮﺍﺻﻔﺎﺕ ﻛﻞﹴ ﻣﻦ ﺍﻟﺒﻴﺘﻮﻥ ﻭﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ ﻭ ﻗﻮﻯ ﺍﳌﻘﺎﻃﻊ‬ ‫)ﺍﻟﻨﺎﲡﺔ ﻋﻦ ﺃﲪﺎﻝ ﺍﻻﺳﺘﺜﻤﺎﺭ ﺃﻭ ﺍﻷﲪﺎﻝ ﺍﻟﻘﺼﻮﻯ )ﺍﳌﺼﻌﺪﺓ( ( ﻭ ﺍﻷﺑﻌﺎﺩ ﺍﳍﻨﺪﺳﻴﺔ ﳌﻘﻄﻊ ﺍﻟﺒﻼﻃﺔ ‪.‬‬ ‫ﻳﺘﻢ ﺗﺼﻤﻴﻢ ﺃﻭ ﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﺑﺈﺣﺪﻯ ﺃﻭ ﻛﻠﺘﺎ ﺍﳊﺎﻟﺘﲔ ﺍﳌﻌﺘﻤﺪﺗﲔ ﰲ ﺍﻟﻜﻮﺩ ﺍﻟﻌﺮﰊ ﺍﻟﺴﻮﺭﻱ ﻋﻠﻰ ﳓﻮ ﺇﻟﺰﺍﻣـﻲ ﺃﻭ‬ ‫ﺍﺧﺘﻴﺎﺭﻱ ﻭﳘﺎ ﺣﺎﻟﺔ ﺣﺪ ﲡﺎﻭﺯ ﺍﻹﺟﻬﺎﺩﺍﺕ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ ﺃﻭ ﺣﺎﻟﺔ ﺣﺪ ﺍﻻ‪‬ﻴﺎﺭ ) ﺍﳊﺪ ﺍﻷﻗﺼﻰ ﻟﻠﻤﻘﺎﻭﻣﺔ ( ﻭﺫﻟﻚ ﺑﻌﺪ‬ ‫ﺍﻟﻌﻮﺩﺓ ﺇﱃ ﳎﺎﻝ ﺍﺳﺘﺨﺪﺍﻡ ﺍﳊﺎﻟﺘﲔ ﺍﳌﺬﻛﻮﺭﺗﲔ ﺷﺮﻳﻄﺔ ﺃﻥ ﺗﻌﺘﻤﺪ ﺇﺣﺪﻯ ﺍﳊﺎﻟﺘﲔ ﻓﻘﻂ ﰲ ﺗﺼﻤﻴﻢ ﺃﻭ ﲢﻘﻴﻖ ﻛﺎﻓﺔ ﻋﻨﺎﺻﺮ‬ ‫ﺍﳌﻨﺸﺄﺓ ﻭﻻ ﳚﻮﺯ ﺍﳉﻤﻊ ﺑﻴﻨﻬﻤﺎ ‪.‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪38‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺃﻭﻻﹰ ‪ :‬ﺣﺎﻟﺔ ﺣﺪ ﲡﺎﻭﺯ ﺍﻹﺟﻬﺎﺩﺍﺕ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ‬ ‫ﻳﺘﻢ ﰲ ﻫﺬﻩ ﺍﳊﺎﻟﺔ ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﺍﻟﺒﻴﺘﻮﻧﻴﺔ ﺍﳌﺴﻠﺤﺔ ﲢﺖ ﺗﺄﺛﲑ ﺃﻓﻌﺎﻝ ﺍﻻﺳﺘﺜﻤﺎﺭ ﻭﻋﺪﻡ ﲡﺎﻭﺯ ﺍﻹﺟﻬﺎﺩﺍﺕ‬ ‫ﰲ ﺍﳌﻘﺎﻃﻊ ﻟﻺﺟﻬﺎﺩﺍﺕ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ ﻟﻜﻞ ﻣﻦ ﺍﻟﻔﻮﻻﺫ ﻭﺍﻟﺒﻴﺘﻮﻥ ﺑﺎﻻﺳﺘﻨﺎﺩ ﺇﱃ ﻋﻤﻞ ﺍﳌﻘﺎﻃﻊ ﰲ ﺍﳌﺮﺣﻠﺔ ﺍﻟﺜﺎﻧﻴﺔ ﺃﻱ ﺍﻟﺒﻴﺘﻮﻥ‬ ‫ﻣﺘﺸﻘﻖ ﰲ ﻣﻨﻄﻘﺔ ﺍﻟﺸﺪ ﻭﺇﺟﻬﺎﺩ ﺍﻟﻔﻮﻻﺫ ﺿﻤﻦ ﺣﺪ ﺍﳌﺮﻭﻧﺔ ‪.‬‬ ‫ﻋﻨﺪ ﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﰲ ﺍﳌﻨﺸﺂﺕ ﺍﻟﻘﺎﺋﻤﺔ ﳝﻜﻦ ﺍﺳﺘﻌﻤﺎﻝ ﻗﻴﻢ ﺍﳌﻘﺎﻭﻣﺔ ﺍﳌﻤﻴﺰﺓ ﺍﻻﲰﻴﺔ ‪ fy‬ﻟﻔﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳌﺴﺘﺨﺪﻡ ‪.‬‬ ‫ﺃﻣﺎ ﻋﻨﺪ ﺗﺼﻤﻴﻢ ﺍﳌﻘﺎﻃﻊ ﻓﻴﺘﻮﺟﺐ ﲣﻔﻴﺾ ﺍﻟﻘﻴﻢ ﺍﳌﻤﻴﺰﺓ ﺍﻻﲰﻴﺔ ﻟـ ‪ fy‬ﺣﺴﺐ ﺍﳌﻘﺎﻭﻣﺔ ﺍﻻﺳﻄﻮﺍﻧﻴﺔ ﺍﳌﻤﻴﺰﺓ ﻟﻠﺒﻴﺘـﻮﻥ ‪f 'c‬‬ ‫ﲝﻴﺚ ﳝﻜﻦ ﺍﻋﺘﻤﺎﺩ ﺍﻟﻘﻴﻢ ﺍﳌﻌﻄﺎﺓ ﰲ ﺍﳉﺪﻭﻝ ) ‪: ( 5-2‬‬ ‫ﺍﳉﺪﻭﻝ ) ‪ ( 5-2‬ﺍﻟﻘﻴﻢ ﺍﳌﺨﻔﻀﺔ ﻟـ ‪ fy‬ﺗﺒﻌﺎﹰ ﻟﻠﻘﻴﻢ ﺍﳌﻤﻴﺰﺓ ﺍﻻﲰﻴﺔ ﻟـ ‪fy‬‬

‫ﻭﺍﳌﻘﺎﻭﻣﺔ ﺍﻻﺳﻄﻮﺍﻧﻴﺔ ﺍﳌﻤﻴﺰﺓ ﻟﻠﺒﻴﺘﻮﻥ ‪ ) f 'c‬ﺍﻟﻘﻴﻢ ﻣﻘﺪﺭﺓ ﺑـ ‪( MPa‬‬ ‫‪f 'c‬‬

‫‪≥ 25‬‬

‫‪20‬‬

‫‪18‬‬

‫‪16.5‬‬

‫‪≤ 15‬‬

‫‪240‬‬

‫‪240‬‬

‫‪240‬‬

‫‪240‬‬

‫‪240‬‬

‫‪240‬‬

‫‪280‬‬

‫‪280‬‬

‫‪260‬‬

‫‪250‬‬

‫‪240‬‬

‫‪280‬‬

‫‪300‬‬

‫‪300‬‬

‫‪270‬‬

‫‪260‬‬

‫‪250‬‬

‫‪300‬‬

‫‪360‬‬

‫‪360‬‬

‫‪320‬‬

‫‪300‬‬

‫‪-‬‬

‫‪360‬‬

‫‪400‬‬

‫‪400‬‬

‫‪360‬‬

‫‪-‬‬

‫‪-‬‬

‫‪400‬‬

‫‪fy‬‬

‫ﻭﺗﻌﺘﻤﺪ ﺍﻹﺟﻬﺎﺩﺍﺕ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ ﻟﻜﻞﹴ ﻣﻦ ﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ ﻭﺍﻟﺒﻴﺘﻮﻥ ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺑﺎﻋﺘﺒﺎﺭﻫـﺎ ﻣﻘـﺎﻃﻊ‬ ‫ﻣﺴﺘﻄﻴﻠﺔ ﺧﺎﺿﻌﺔ ﻟﻼﻧﻌﻄﺎﻑ ﻋﻠﻰ ﺍﻟﻨﺤﻮ ﺍﻟﺘﺎﱄ ‪:‬‬ ‫ ﺍﻟﺸﺪ ﰲ ﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ‬‫ ﺍﻟﻀﻐﻂ ﰲ ﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ‬‫‪ -‬ﺍﻟﻀﻐﻂ ﰲ ﺍﻟﺒﻴﺘﻮﻥ‬

‫‪σ s ≤ 0,55. f y‬‬ ‫‪σ s =15.σ 'c ≤ 0,55. f y‬‬ ‫‪σ 'c ≤ 0,55. f 'c‬‬

‫ﻭﻳﻨﺼﺢ ﻟﺘﻼﰲ ﺍﺯﺩﺣﺎﻡ ﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻋﺘﻤﺎﺩ ﻗﻴﻢ ﺃﺻﻐﺮ ﻣﻨﻬﺎ ﺗﺒﻌﺎﹰ ﻟﺴﻤﻚ ﺍﻟﺒﻼﻃﺔ‪:‬‬ ‫§‬

‫ﲰﻚ ﺍﻟﺒﻼﻃﺔ ﺃﻛﱪ ﺃﻭ ﻳﺴﺎﻭﻱ‬

‫§‬

‫ﲰﻚ ﺍﻟﺒﻼﻃﺔ‬

‫§‬

‫ﻭﻟﺒﻼﻃﺔ ﲰﻜﻬﺎ ﻳﺘﺮﺍﻭﺡ ﺑﲔ ‪ 80 mm‬ﻭ ‪ 200 mm‬ﺗﺆﺧﺬ ﺍﻟﻘﻴﻢ ﺑﺎﻟﺘﻨﺎﺳﺐ ﺍﳋﻄﻲ ‪.‬‬

‫‪80 mm‬‬

‫‪σ 'c ≤ 0, 45. f 'c 200 mm‬‬ ‫‪σ 'c ≤ 0,36. f 'c‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪39‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﻭﻟﺘﺒﺴﻴﻂ ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﺍﻟﺒﻴﺘﻮﻧﻴﺔ ﺍﳌﺴﻠﺤﺔ ﺍﳌﺴﺘﻄﻴﻠﺔ ﲝﺎﻟﺔ ﺣﺪ ﲡﺎﻭﺯ ﺍﻹﺟﻬﺎﺩﺍﺕ ﺍﳌﺴـﻤﻮﺡ ‪‬ـﺎ ﰎ ﰲ‬ ‫ﺍﳌﻠﺤﻖ ‪ A‬ﻋﺮﺽ ﺍﻟﻌﻼﻗﺎﺕ ﺍﻟﻨﺎﻇﻤﺔ ﻟﻠﻌﻮﺍﻣﻞ ﺍﻟﻼﺑﻌﺪﻳﺔ ﺍﻟﺪﺍﺧﻠﺔ ﰲ ﻋﻼﻗﺎﺕ ﺍﻟﺘﺼﻤﻴﻢ ﻭﺍﻟﺘﺤﻘﻴـﻖ ﰲ ﺍﳉـﺪﻭﻝ )‪، (A-1‬‬ ‫ﻭﻋﺮﺽ ﺟﺪﺍﻭﻝ ﺗﺘﻀﻤﻦ ﻗﻴﻢ ﻫﺬﻩ ﺍﻟﻌﻮﺍﻣﻞ ﰲ ﺍﳉﺪﻭﻝ )‪ (A-2‬ﻭﺍﻟﺬﻱ ﻳﺴﻤﺢ ﺑﺎﳊﺼﻮﻝ ﻋﻠﻰ ﻗﻴﻢ ﺑﻘﻴﺔ ﺍﻟﻌﻮﺍﻣﻞ ﺍﺳﺘﻨﺎﺩﺍﹰ ﺇﱃ‬ ‫ﻣﻌﺮﻓﺔ ﻗﻴﻤﺔ ﺃﺣﺪﻫﺎ ‪.‬‬ ‫ﻛﻤﺎ ﰎ ﺇﻋﺪﺍﺩ ﻭﺇﺩﺭﺍﺝ ﺍﳉﺪﺍﻭﻝ ﻣﻦ )‪ (A-3‬ﻭﺣﱴ )‪ (A-10‬ﺍﳋﺎﺻﺔ ﺑﺘﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﺍﻟﺒﻴﺘﻮﻧﻴﺔ ﺍﳌﺴـﻠﺤﺔ‬ ‫ﺍﳌﺴﺘﻄﻴﻠﺔ ﺍﻟﺸﻜﻞ ﺃﺣﺎﺩﻳﺔ ﻭﺛﻨﺎﺋﻴﺔ ﺍﻟﺘﺴﻠﻴﺢ ﻭﺍﳋﺎﺿﻌﺔ ﺇﱃ ﺍﻻﻧﻌﻄﺎﻑ ﺍﻟﺒﺴﻴﻂ ﰲ ﺣﺎﻟﺔ ﺣﺪ ﲡﺎﻭﺯ ﺍﻹﺟﻬﺎﺩﺍﺕ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ ‪.‬‬ ‫ﺛﺎﻧﻴﺎﹰ ‪ :‬ﺣﺎﻟﺔ ﺣﺪ ﺍﻻ‪‬ﻴﺎﺭ ) ﺍﳊﺪ ﺍﻷﻗﺼﻰ ﻟﻠﻤﻘﺎﻭﻣﺔ (‬ ‫ﻳﺘﻢ ﰲ ﻫﺬﻩ ﺍﳊﺎﻟﺔ ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﺍﻟﺒﻴﺘﻮﻧﻴﺔ ﺍﳌﺴﻠﺤﺔ ﲢﺖ ﺗﺄﺛﲑ ﺍﻷﻓﻌﺎﻝ ﺍﳌﺼﻌﺪﺓ ﻭﺑﺎﻋﺘﻤـﺎﺩ ﺍﳌﻘﺎﻭﻣـﺎﺕ‬ ‫ﺍﳌﺨﻔﻀﺔ ﻟﻜﻞ ﻣﻦ ﺍﻟﺒﻴﺘﻮﻥ ﻭﺍﻟﻔﻮﻻﺫ ‪.‬‬ ‫ﻋﻨﺪ ﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﰲ ﺍﳌﻨﺸﺂﺕ ﺍﻟﻘﺎﺋﻤﺔ ﳝﻜﻦ ﺍﺳﺘﻌﻤﺎﻝ ﻗﻴﻢ ﺍﳌﻘﺎﻭﻣﺔ ﺍﳌﻤﻴﺰﺓ ﺍﻻﲰﻴﺔ ‪ fy‬ﻟﻔﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳌﺴﺘﺨﺪﻡ ‪.‬‬ ‫ﺃﻣﺎ ﻋﻨﺪ ﺗﺼﻤﻴﻢ ﺍﳌﻘﺎﻃﻊ ﻓﻴﺘﻮﺟﺐ ﲣﻔﻴﺾ ﺍﻟﻘﻴﻢ ﺍﳌﻤﻴﺰﺓ ﺍﻻﲰﻴﺔ ﻟـ ‪ fy‬ﺣﺴﺐ ﺍﳌﻘﺎﻭﻣﺔ ﺍﻻﺳﻄﻮﺍﻧﻴﺔ ﺍﳌﻤﻴﺰﺓ ﻟﻠﺒﻴﺘـﻮﻥ ‪f 'c‬‬ ‫ﲝﻴﺚ ﳝﻜﻦ ﺍﻋﺘﻤﺎﺩ ﺍﻟﻘﻴﻢ ﺍﳌﻌﻄﺎﺓ ﰲ ﺍﳉﺪﻭﻝ ﺍﻟﺴﺎﺑﻖ ) ‪: ( 5-2‬‬ ‫ﻳﺘﻢ ﲢﺪﻳﺪ ﺍﻷﲪﺎﻝ ﺍﳌﻤﻴﺰﺓ ﺍﻟﻘﺼﻮﻯ ) ﺍﳌﺼﻌﺪﺓ ( ﻭﻓﻖ ﺍﻟﺒﺎﺏ ﺍﻟﺴﺎﺩﺱ ﻣﻦ ﺍﻟﻜﻮﺩ ﺍﻟﻌﺮﰊ ﺍﻟﺴـﻮﺭﻱ ﻭﻳﻜﺘﻔـﻰ‬ ‫ﺑﺎﻹﺷﺎﺭﺓ ﻫﻨﺎ ﺇﱃ ﺃﻧﻪ ﻟﺪﻯ ﺍﻻﻗﺘﺼﺎﺭ ﻋﻠﻰ ﺍﻷﲪﺎﻝ ﺍﳌﻤﻴﺰﺓ ﺍﻟﺪﺍﺋﻤﺔ ﻭﺍﻷﲪﺎﻝ ﺍﳌﻤﻴﺰﺓ ﺍﻹﺿﺎﻓﻴﺔ ﻋﻠـﻰ ﺍﻟﺒﻼﻃـﺎﺕ ﻳﻜـﻮﻥ‬ ‫ﺍﻟﺘﺮﻛﻴﺐ ﺍﻷﺳﺎﺳﻲ ﻟﻸﲪﺎﻝ ﺍﻟﻘﺼﻮﻯ ﻋﻠﻰ ﺍﻟﻨﺤﻮ ﺍﻵﰐ ‪:‬‬ ‫‪w u = g u + pu‬‬ ‫ﺣﻴﺚ ‪ :‬ﺍﻷﲪﺎﻝ ﺍﻟﺪﺍﺋﻤﺔ ﺍﳌﺼﻌﺪﺓ‬ ‫ﺍﻷﲪﺎﻝ ﺍﻹﺿﺎﻓﻴﺔ ﺍﳌﺼﻌﺪﺓ‬

‫‪g u =1,5. g‬‬ ‫‪pu =1,8. p‬‬

‫ﻳﺘﻢ ﺧﻔﺾ ﺍﳌﻘﺎﻭﻣﺔ ﻭﻓﻖ ﺍﻟﺒﺎﺏ ﺍﻟﺴﺎﺩﺱ ﻣﻦ ﺍﻟﻜﻮﺩ ﺍﻟﻌﺮﰊ ﺍﻟﺴﻮﺭﻱ ﲝﻴﺚ ﻳﺆﺧﺬ ﻣﻌﺎﻣﻞ ﺍﻟﺘﺨﻔـﻴﺾ ﰲ ﺣﺎﻟـﺔ‬ ‫ﺍﻻﻧﻌﻄﺎﻑ ﻣﺴﺎﻭﻳﺎﹰ ﻟـ ‪Ω = 0,9‬‬ ‫ﻭﻟﺘﺒﺴﻴﻂ ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﺍﻟﺒﻴﺘﻮﻧﻴﺔ ﺍﳌﺴﻠﺤﺔ ﺍﳌﺴﺘﻄﻴﻠﺔ ﲝﺎﻟﺔ ﺣﺪ ﺍﻻ‪‬ﻴﺎﺭ )ﺍﳊﺪ ﺍﻷﻗﺼﻰ ﻟﻠﻤﻘﺎﻭﻣـﺔ( ﰎ ﰲ‬ ‫ﺍﳌﻠﺤﻖ ‪ B‬ﻋﺮﺽ ﺍﻟﻌﻼﻗﺎﺕ ﺍﻟﻨﺎﻇﻤﺔ ﻟﻠﻌﻮﺍﻣﻞ ﺍﻟﻼﺑﻌﺪﻳﺔ ﺍﻟﺪﺍﺧﻠﺔ ﰲ ﻋﻼﻗﺎﺕ ﺍﻟﺘﺼﻤﻴﻢ ﻭﺍﻟﺘﺤﻘﻴـﻖ ﰲ ﺍﳉـﺪﻭﻝ )‪، (B-1‬‬ ‫ﻭﻋﺮﺽ ﺟﺪﺍﻭﻝ ﺗﺘﻀﻤﻦ ﻗﻴﻢ ﻫﺬﻩ ﺍﻟﻌﻮﺍﻣﻞ ﰲ ﺍﳉﺪﻭﻝ )‪ (B-2‬ﻭﺍﻟﺬﻱ ﻳﺴﻤﺢ ﺑﺎﳊﺼﻮﻝ ﻋﻠﻰ ﻗﻴﻢ ﺑﻘﻴﺔ ﺍﻟﻌﻮﺍﻣﻞ ﺍﺳﺘﻨﺎﺩﺍﹰ ﺇﱃ‬ ‫ﻣﻌﺮﻓﺔ ﻗﻴﻤﺔ ﺃﺣﺪﻫﺎ ‪.‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪40‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﻛﻤﺎ ﰎ ﺇﻋﺪﺍﺩ ﻭﺇﺩﺭﺍﺝ ﺍﳉﺪﺍﻭﻝ ﻣﻦ )‪ (B-3‬ﻭﺣﱴ )‪ (B-8‬ﺍﳋﺎﺻﺔ ﺑﺘﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﺍﻟﺒﻴﺘﻮﻧﻴـﺔ ﺍﳌﺴـﻠﺤﺔ‬ ‫ﺍﳌﺴﺘﻄﻴﻠﺔ ﺍﻟﺸﻜﻞ ﺃﺣﺎﺩﻳﺔ ﻭﺛﻨﺎﺋﻴﺔ ﺍﻟﺘﺴﻠﻴﺢ ﻭﺍﳋﺎﺿﻌﺔ ﺇﱃ ﺍﻻﻧﻌﻄﺎﻑ ﺍﻟﺒﺴﻴﻂ ﰲ ﺣﺎﻟﺔ ﺣـﺪ ﺍﻻ‪‬ﻴـﺎﺭ )ﺍﳊـﺪ ﺍﻷﻗﺼـﻰ‬ ‫ﻟﻠﻤﻘﺎﻭﻣﺔ(‪.‬‬ ‫‪ 5-2‬ﻣﺴﺎﺣﺎﺕ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺪﻧﻴﺎ ﻭﺍﻟﻘﺼﻮﻯ ﻟﻠﺒﻼﻃﺎﺕ ‪:‬‬ ‫ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻄﻮﱄ ) ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻔﻌﺎﻝ ( ‪:‬‬ ‫ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻄﻮﱄ ﺃﻭ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻔﻌﺎﻝ ﻫﻮ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺮﺋﻴﺴﻲ ﺍﳌﻮﺍﺯﻱ ﻟﻼﲡﺎﻩ ﺍﻟﻔﻌﺎﻝ ﻟﻠﺒﻼﻃﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ‪ ،‬ﺃﻣـﺎ‬ ‫ﺍﻟﺘﺴﻠﻴﺢ ﰲ ﺍﻻﲡﺎﻩ ﺍﻵﺧﺮ ﺍﳌﺘﻌﺎﻣﺪ ﻣﻊ ﺍﲡﺎﻩ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻔﻌﺎﻝ ﺍﻟﺮﺋﻴﺴﻲ ﻓﻬﻮ ﺍﻟﺘﺴﻠﻴﺢ ﻏﲑ ﺍﻟﻔﻌﺎﻝ ﺃﻭ ﺍﻟﺜﺎﻧﻮﻱ ﻛﻤﺎ ﻫﻮ ﻣﻮﺿﺢ‬ ‫ﺑﺎﻟﺸﻜﻠﲔ ) ‪ ( 13-2‬ﻭ ) ‪. ( 14-2‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 13-2‬ﺗﻨﻔﻴﺬ ﺷﺒﻜﺔ ﺍﻟﺘﺴﻠﻴﺢ ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ‬ ‫اﺗﺠ‬ ‫ﺎه اﻟﺘﺴ‬

‫ﺟ ﺎﺋﺰ ﺣﺎﻣ ﻞ‬

‫ﻠﯿﺢ اﻟﺜ‬ ‫ﺎﻧﻮي‬

‫‪I‬‬

‫ﺟ ﺎﺋﺰ ﺣﺎﻣ ﻞ‬

‫ﻣﺴ ﻘﻂ أﻓﻘ ﻲ ﯾﺒﯿ ﻦ‬ ‫ﺗﺴ ﻠﯿﺢ اﻟﺒﻼﻃ ﺔ‬

‫اﺗﺠ‬

‫ﺎه اﻟﺘﺴ‬

‫اﻟﺘﺴ‬

‫ﻠﯿﺢ اﻟﺮﺋﯿﺴ‬

‫ﻠﯿﺢ اﻟﺜ‬

‫‪I‬‬

‫ﻲ‬

‫ﺎﻧﻮي‬

‫ﻣﻘﻄ ﻊ ‪I - I‬‬ ‫ﺟ ﺎﺋﺰ ﺣﺎﻣ ﻞ‬

‫اﻟﺘﺴ‬

‫ﻠﯿﺢ اﻟﺮﺋﯿﺴ‬

‫ﻲ‬

‫ﺟ ﺎﺋﺰ ﺣﺎﻣ ﻞ‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 14-2‬ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺮﺋﻴﺴﻲ ﻭﺍﻟﺜﺎﻧﻮﻱ ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪41‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺃ‪ -‬ﰲ ﺣﺎﻝ ﺍﺳﺘﻌﻤﺎﻝ ﺗﺴﻠﻴﺢ ﺃﻣﻠﺲ ﻣﻦ ﺍﻟﻔﻮﻻﺫ ﺍﻟﻌﺎﺩﻱ ﺍﳌﻘﺎﻭﻣﺔ ﳚﺐ ﺃﻥ ﻻ ﺗﻘﻞﹼ ﻣﺴﺎﺣﺔ ﺍﻟﺘﺴﻠﻴﺢ ﰲ ﺍﻻﲡﺎﻩ ﺍﻟﺮﺋﻴﺴﻲ‬ ‫ﻋﻦ ‪ 0,0025‬ﻣﻦ ﻣﺴﺎﺣﺔ ﺍﳌﻘﻄﻊ ﺍﳋﺮﺳﺎﱐ ﺍﳌﻄﻠﻮﺏ ﺣﺴﺎﺑﻴﺎﹰ ﻟﺘﺄﻣﲔ ﺍﳌﻘﺎﻭﻣﺔ ‪ ,‬ﻭﺃﻥ ﻻ ﺗﻘﻞﹼ ﺃﻳﻀﺎﹰ ﻋﻦ ‪ 0,0015‬ﻣﻦ‬ ‫ﺍﳌﺴﺎﺣﺔ ﺍﻟﻔﻌﻠﻴﺔ ﻟﻠﻤﻘﻄﻊ ﺍﳌﺘﻌﺎﻣﺪ ﻣﻊ ﻫﺬﺍ ﺍﻟﺘﺴﻠﻴﺢ ‪ ,‬ﺃﻣﺎ ﻋﻨﺪ ﺍﺳﺘﻌﻤﺎﻝ ﺗﺴﻠﻴﺢ ﺷﺒﻜﺎﺕ ‪ ,‬ﺃﻭ ﺗﺴﻠﻴﺢ ﻋﺎﱄ ﺍﳌﻘﺎﻭﻣﺔ‬ ‫ﻭﺫﻱ ﻧﺘﻮﺀﺍﺕ ‪ ,‬ﻓﻴﻤﻜﻦ ﲣﻔﻴﺾ ﻣﺴﺎﺣﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺪﻧﻴﺎ ‪ ,‬ﲝﻴﺚ ﻻ ﺗﻘﻞﹼ ﻋﻦ ‪ 0,002‬ﻣﻦ ﻣﺴﺎﺣﺔ ﺍﳌﻘﻄﻊ ﺍﳋﺮﺳﺎﱐ‬ ‫ﺍﳌﻄﻠﻮﺏ ﺣﺴﺎﺑﻴﺎﹰ ﻭ ﻛﻤﺎ ﻻ ﺗﻘﻞﹼ ﻋﻦ ‪ 0,0012‬ﻣﻦ ﺍﳌﺴﺎﺣﺔ ﺍﻟﻔﻌﻠﻴﺔ ﻟﻠﻤﻘﻄﻊ ‪.‬‬ ‫ﺏ‪ -‬ﳚﺐ ﺃﻥ ﻻ ﺗﻘﻞ ﻣﺴﺎﺣﺔ ﺍﻟﺘﺴﻠﻴﺢ ﰲ ﺍﻻﲡﺎﻩ ﺍﻟﺜﺎﻧﻮﻱ ﻋﻦ‬

‫‪1‬‬ ‫‪4‬‬

‫ﻣﺴﺎﺣﺔ ﺍﻟﺘﺴﻠﻴﺢ ﰲ ﺍﻻﲡﺎﻩ ﺍﻟﺮﺋﻴﺴﻲ ‪ ,‬ﻭﺃﻥ ﻻ ﺗﻘﻞﹼ‬

‫ﻋﻦ ‪ 0,0012‬ﻣﻦ ﺍﳌﺴﺎﺣﺔ ﺍﻟﻔﻌﻠﻴﺔ ﻟﻠﻤﻘﻄﻊ ﺍﳋﺮﺳﺎﱐ ﺍﳌﺘﻌﺎﻣﺪ ﻣﻊ ﻫﺬﺍ ﺍﻟﺘﺴﻠﻴﺢ ‪ ,‬ﻭﺫﻟﻚ ﰲ ﺣﺎﻟﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻷﻣﻠﺲ‬ ‫ﻣﻦ ﺍﻟﻔﻮﻻﺫ ﺍﻟﻄﺮﻱ ‪ ,‬ﺃﻭ ﻻ ﺗﻘﻞﹼ ﻋﻦ ‪ 0,001‬ﻣﻦ ﺍﳌﺴﺎﺣﺔ ﺍﻟﻔﻌﻠﻴﺔ ﻟﻠﻤﻘﻄﻊ ﺍﳋﺮﺳﺎﱐ ﺍﳌﺘﻌﺎﻣﺪ ﻣﻊ ﺍﻟﺘﺴﻠﻴﺢ ‪ ,‬ﰲ ﺣﺎﻝ‬ ‫ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻌﺎﱄ ﺍﳌﻘﺎﻭﻣﺔ ﺫﻱ ﺍﻟﻨﺘﻮﺀﺍﺕ ﻭ ﻭﺗﺴﻠﻴﺢ ﺍﻟﺸﺒﻜﺎﺕ ‪.‬‬ ‫ﺝ‪ -‬ﻻ ﺗﺰﻳﺪ ﻣﺴﺎﺣﺔ ﺍﻟﺘﺴﻠﻴﺢ ﰲ ﻛﻞ ﺍﲡﺎﻩ ﻋﻦ ﻧﺼﻒ ﻣﺴﺎﺣﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺘﻮﺍﺯﻧﻴﺔ ‪ 0,5 . Asb‬ﰲ ﺍﻻﲡﺎﻩ ﺫﺍﺗﻪ ﻭﺍﻟـﱵ‬ ‫ﲢﺴﺐ ﻣﻦ ﺍﻟﻌﻼﻗﺔ ﺍﳌﻌﻄﺎﺓ ﰲ ﺍﳉﺪﻭﻝ ) ‪ ، ( 6-2‬ﻋﻠﻤﺎﹰ ﺃﻥ ﻣﺴﺎﺣﺔ ﺗﺴﻠﻴﺢ ﺍﻟﺸﺪ ﰲ ﺍﳊﺎﻟﺔ ﺍﻟﺘﻮﺍﺯﻧﻴﺔ ﻫﻲ ﺍﻟﱵ ﺗﻮﺍﻓﻖ‬ ‫ﺣﺪﻭﺙ ﺍﻧﻔﻌﺎﻝ ﺷﺪ ﺃﻗﺼﻰ ﰲ ﺍﻟﻔﻮﻻﺫ ) ﺍﻧﻔﻌﺎﻝ ﺍﳋﻀﻮﻉ ( ﰲ ﻧﻔﺲ ﺍﻟﻠﺤﻈﺔ ﺍﻟﱵ ﻳﺒﻠﻎ ﻓﻴﻬﺎ ﺍﻧﻔﻌﺎﻝ ﺍﻟﻀـﻐﻂ ﰲ‬ ‫ﺍﻟﺒﻴﺘﻮﻥ ﻗﻴﻤﺘﻪ ﺍﻟﻘﺼﻮﻯ ‪. 0,003‬‬ ‫ﻭﻟﺘﻮﺿﻴﺢ ﻣﺎ ﺳﺒﻖ ﰎ ﺇﻋﺪﺍﺩ ﺍﳉﺪﻭﻝ ) ‪ ( 6-2‬ﻭﺍﻟﺬﻱ ﻳﺒﲔ ﻧﺴﺐ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺪﻧﻴﺎ ﻭﺍﻷﻋﻈﻤﻴﺔ ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ‬ ‫ﺣﺴﺐ ﻧﻮﻉ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳌﺴﺘﺨﺪﻡ ﻭﺍﲡﺎﻫﻪ ‪.‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪42‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( 6-2‬ﻣﺴﺎﺣﺎﺕ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺪﻧﻴﺎ ﻭﺍﻟﻌﻈﻤﻰ ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ‬ ‫ﻧﻮﻉ ﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ‬

‫ﺍﲡﺎﻩ ﺍﻟﺘﺴﻠﻴﺢ‬

‫ﺍﳌﻘﻄﻊ ﺍﻟﻔﻌﻠﻲ‬

‫ﺍﳌﻘﻄﻊ ﺍﳊﺴﺎﰊ‬

‫ﺭﺋﻴﺴﻲ‬

‫‪0, 0015.b .t‬‬

‫* ‪0, 0025.b .d‬‬

‫ﺃﻣﻠﺲ ﻋﺎﺩﻱ‬

‫ﺃﻛﱪ ﺍﻟﻘﻴﻤﺘﲔ‪:‬‬

‫) ﻃﺮﻱ (‬

‫ﺛﺎﻧﻮﻱ‬

‫‪0, 0012.b .t‬‬ ‫‪1‬‬ ‫‪4‬‬

‫ﻣﺴﺎﺣﺎﺕ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺪﻧﻴﺎ‬ ‫ﺭﺋﻴﺴﻲ‬ ‫ﺫﻭ ﻧﺘﻮﺀﺍﺕ ﻋﺎﱄ‬ ‫ﺍﳌﻘﺎﻭﻣﺔ‬

‫‪0,0012 . b. t‬‬

‫* ‪0,002 . b . d‬‬

‫ﺃﻛﱪ ﺍﻟﻘﻴﻤﺘﲔ‪:‬‬ ‫ﺛﺎﻧﻮﻱ‬

‫‪0, 001.b .t‬‬ ‫‪1‬‬ ‫‪4‬‬

‫ﻣﺴﺎﺣﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻷﻋﻈﻤﻴﺔ‬

‫ﺍﻟﺮﺋﻴﺴﻲ‬

‫ﺍﻟﺮﺋﻴﺴﻲ‬

‫'‪fc‬‬ ‫‪455‬‬ ‫( ‪≤ 0,5 . Asb = 0,5 .‬‬ ‫) ‪. .b . d‬‬ ‫‪630 + f y f y‬‬

‫‪As max‬‬

‫* ‪ = d‬ﺍﻻﺭﺗﻔﺎﻉ ﺍﳊﺴﺎﰊ ﻟﻠﻤﻘﻄﻊ ﺍﳌﺪﺭﻭﺱ ﻭﻫﻮ ﺃﺻﻐﺮ ﺍﺭﺗﻔﺎﻉ ﻣﻄﻠﻮﺏ ﻟﺘﺄﻣﲔ ﺍﳌﻘﺎﻭﻣﺔ ﻭﻳﺘﻢ ﺗﻌﻴﻴﻨﻪ ﻣـﻦ ﺍﻟﻌﻼﻗـﺔ ﺍﻟـﱵ‬ ‫ﻳﻮﺿﺤﻬﺎ ﺍﻟﻜﻮﺩ ﺍﻟﻌﺮﰊ ﺍﻟﺴﻮﺭﻱ‪.‬‬ ‫‪ = d‬ﺍﻻﺭﺗﻔﺎﻉ ﺍﻟﻔﻌﺎﻝ ﻟﻠﻤﻘﻄﻊ ﺍﳌﺪﺭﻭﺱ ﻭﻫﻮ ﺍﳌﺴﺎﻓﺔ ﻣﻦ ﳏﻮﺭ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳌﺸﺪﻭﺩ ﺇﱃ ﺍﻟﻠﻴﻒ ﺍﻷﻛﺜﺮ ﺍﻧﻀﻐﺎﻃﺎ ﺃﻱ ﲰﺎﻛﺔ‬ ‫ﺍﻟﺒﻼﻃﺔ ﻣﻄﺮﻭﺣﺎﹰ ﻣﻨﻬﺎ ﻗﻴﻤﺔ ﻃﺒﻘﺔ ﺍﻟﺘﻐﻄﻴﺔ ‪. a‬‬ ‫ﺗﺆﺧﺬ ﻗﻴﻤﺔ ﻃﺒﻘﺔ ﺍﻟﺘﻐﻄﻴﺔ ‪ a‬ﺗﺒﻌﺎﹰ ﳌﺘﻄﻠﺒﺎﺕ ﲪﺎﻳﺔ ﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ ﻛﻤﺎ ﻳﻠﻲ ‪:‬‬ ‫ ‪ 15 mm‬ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﻟﺪﺍﺧﻠﻴﺔ ﺍﻟﱵ ﻻ ﺗﺘﻌﺮﺽ ﻟﺘﺄﺛﲑﺍﺕ ﺟﻮﻳﺔ ﺃﻭ ﻛﻴﻤﻴﺎﺋﻴﺔ ‪.‬‬‫ ‪ 20 mm‬ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳋﺎﺭﺟﻴﺔ ﺍﳌﻌﺮﺿﺔ ﻟﺘﺄﺛﲑﺍﺕ ﺟﻮﻳﺔ ‪.‬‬‫ ‪ 30 mm‬ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳋﺎﺭﺟﻴﺔ ﺍﳌﻌﺮﺿﺔ ﻷﺟﻮﺍﺀ ﺣﺎﻭﻳﺔ ﻋﻠﻰ ﺭﻃﻮﺑﺔ ﻣﻠﺤﻴﺔ ‪.‬‬‫ ‪ 50 mm‬ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻌﺮﺿﺔ ﻟﺘﺄﺛﲑ ﺍﻟﻌﻮﺍﻣﻞ ﺍﻟﻜﻴﻤﻴﺎﺋﻴﺔ ‪.‬‬‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪43‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫‪ 6-2‬ﺗﺮﺗﻴﺒﺎﺕ ﺗﺴﻠﻴﺢ ﺍﻟﺒﻼﻃﺎﺕ ‪:‬‬ ‫ﺃ‪ -‬ﻳﺮﺗﺐ ﺍﻟﺘﺴﻠﻴﺢ ﲝﻴﺚ ﻳﻐﻄﻲ ﲨﻴﻊ ﻣﻨﺎﻃﻖ ﺍﻟﺸﺪ ‪ ,‬ﻭﳝﺘﺪ ﺑﻌﺪ ‪‬ﺎﻳﺎ‪‬ﺎ ﻣﺴﺎﻓﺔ ﺗﺴﺎﻭﻱ ﻃﻮﻝ ﺍﻟﺘﺜﺒﻴﺖ ﺍﻟﻼﺯﻡ ﻣﻀﺎﻓﺎﹰ ﻟﻪ‬ ‫)‪ (d‬ﺃﻭ )‪ (12F‬ﻣﻊ ﻣﺮﺍﻋﺎﺓ ﺍﻟﺸﺮﻭﻁ ﺍﻟﻮﺍﺭﺩﺓ ﰲ ﺍﳉﺪﻭﻝ ) ‪. ( 7-2‬‬ ‫ ﺑﺎﻟﻨﺴﺒﺔ ﺇﱃ ﺍﻟﻘﻀﺒﺎﻥ ﺍﳌﻠﺴﺎﺀ ﳚﺐ ﺃﻥ ﻻ ﻳﺰﻳﺪ ﻗﻄﺮ ﺍﻟﻘﻀﻴﺐ ﺍﳌﺴﺘﻌﻤﻞ ﻋﻦ‬‫ﻃﺮﻑ ﺍﻟﻘﻀﻴﺐ ﺑﻌﻜﻔﺔ ﻧﻈﺎﻣﻴﺔ ‪.‬‬

‫‪mm‬‬

‫‪, 25‬ﻛﻤﺎ ﻳﺸﺘﺮﻁ ﺃﻥ ﻳﻨﺘﻬﻲ‬

‫ ﻳﻌﺪ‪‬ﻝ ﺍﻟﻄﻮﻝ ﺍﻷﺳﺎﺳﻲ ﺍﳌﺬﻛﻮﺭ ﰲ ﺍﳉﺪﻭﻝ ﺍﻟﺴﺎﺑﻖ ﺑﺎﻟﻨﺴﺒﺔ ﺇﱃ ﺣﺎﻟﺔ ﺍﻟﺸﺪ ﺑﻀﺮﺑﻪ ﺑﻮﺍﺣـﺪ ﺃﻭ ﺃﻛﺜـﺮ ﻣـﻦ‬‫ﺍﳌﻌﺎﻣﻼﺕ ﺍﳌﺬﻛﻮﺭﺓ ﰲ ﺍﳉﺪﻭﻝ ) ‪ , ( 8-2‬ﻭﺍﻟﱵ ﺗﻌﺘﻤﺪ ﻋﻠﻰ ﻧﻮﻋﻴﺔ ﻗﻀﻴﺐ ﺍﻟﺘﺴﻠﻴﺢ ‪ ,‬ﻭﻣﻜﺎﻥ ﺍﺳﺘﻌﻤﺎﻟﻪ‪.‬‬ ‫ﺍﳉﺪﻭﻝ ) ‪ ( 7-2‬ﻃﻮﻝ ﺗﺜﺒﻴﺖ ﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ‬ ‫ﺍﳊﺎﻟﺔ‬ ‫ﺍﻻﺟﻬﺎﺩﻳﺔ‬

‫ﻃﻮﻝ ﺍﻟﺘﺜﺒﻴﺖ ﺍﻷﺻﻐﺮﻱ‬

‫ﻧﻮﻉ ﻗﻀﺒﺎﻥ‬ ‫ﺍﻟﺘﺴﻠﻴﺢ‬

‫ﻭﻳﺆﺧﺬ ﻣﺴﺎﻭﻳﺎﹰ ﻷﻛﱪ ﺍﻟﻘﻴﻢ ﺍﳌﺒﻴﻨﺔ ﺃﺩﻧﺎﻩ‬ ‫‪min Lb‬‬

‫ﻋﺎﻟﻴﺔ ﺍﻟﺘﻤﺎﺳﻚ‬ ‫ﺷﺪ‬

‫ﺿﻐﻂ‬

‫ﺫﺍﺕ ﻧﺘﻮﺀﺍﺕ‬

‫‪fy‬‬

‫‪.φ 2‬‬

‫‪f c′‬‬

‫ﻣﻠﺴﺎﺀ‬

‫‪.φ‬‬

‫ﻋﺎﻟﻴﺔ ﺍﻟﺘﻤﺎﺳﻚ‬ ‫ﺫﺍﺕ ﻧﺘﻮﺀﺍﺕ‬

‫‪.φ‬‬

‫ﻣﻠﺴﺎﺀ‬

‫‪.φ‬‬

‫‪fy‬‬ ‫‪f c′‬‬

‫‪0, 016 .‬‬

‫‪0, 075.φ . f y‬‬

‫‪30 cm‬‬

‫‪0, 79.‬‬

‫‪0,15.φ . f y‬‬

‫‪30 cm‬‬

‫‪min Lb′‬‬ ‫‪fy‬‬ ‫‪f c′‬‬ ‫‪fy‬‬ ‫‪f c′‬‬

‫‪0, 253.‬‬

‫‪0, 05.φ . f y‬‬

‫‪-‬‬

‫‪0,527.‬‬

‫‪0,1.φ . f y‬‬

‫‪-‬‬

‫ﺣﻴﺚ ﺃﻥ ‪ Lb , φ‬ﺑـ ‪ mm‬ﻭ ‪ f c′, f y‬ﺑـ ‪Mpa‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪44‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( 8-2‬ﻣﻌﺎﻣﻼﺕ ﺗﻌﺪﻳﻞ ﻃﻮﻝ ﺍﻟﺘﺜﺒﻴﺖ ﺍﻷﺳﺎﺳﻲ‬ ‫ﻧﻮﻋﻴﺔ ﻗﻀﻴﺐ ﺍﻟﺘﺴﻠﻴﺢ ﻭﻣﻜﺎﻥ ﺍﺳﺘﻌﻤﺎﻟﻪ‬

‫ﺍﳌﻌﺎﻣﻞ‬

‫ﻗﻀﻴﺐ ﻋﻠﻮﻱ ) ﻳﺰﻳﺪ ﲰﻚ ﺍﳋﺮﺳﺎﻧﺔ ﲢﺘﻪ ﻋﻠﻰ ‪( 30 mm‬‬

‫‪1, 4‬‬

‫ﻛﻞ ﻗﻀﻴﺐ ﻣﻦ ﺭﺯﻣﺔ ﻣﺆﻟﻔﺔ ﻣﻦ ﻗﻀﻴﺒﲔ‬

‫‪1, 2‬‬

‫ﻛﻞ ﻗﻀﻴﺐ ﻣﻦ ﺭﺯﻣﺔ ﻣﺆﻟﻔﺔ ﻣﻦ ﺛﻼﺛﺔ ﻗﻀﺒﺎﻥ‬

‫‪1, 4‬‬

‫ﺃﺳﻴﺎﺥ ﺗﺰﻳﺪ ﻣﺴﺎﺣﺔ ﻣﻘﻄﻌﻬﺎ ﻋﻠﻰ ﻣﺘﻄﻠﺒﺎﺕ ﺍﻟﻌﺰﻡ ﺍﳊﺎﱄ‬

‫‪ ×1,1‬ﻣﺴﺎﺣﺔ ﻗﻄﺎﻉ ﺍﻟﺘﺴﻠﻴﺢ‬ ‫ﺍﻟﻼﺯﻡ ) ÷ ( ﻣﺴﺎﺣﺔ ﺍﻟﺘﺴﻠﻴﺢ‬

‫) ﺍﳌﻨﻌﻄﻒ (‬

‫ﺍﻟﻔﻌﻠﻲ‬

‫ﻛﻞ ﻗﻀﻴﺐ ﺧﻼﻑ ﺫﻟﻚ‬

‫‪1, 00‬‬

‫ﺏ‪ -‬ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻤﺮﺓ ﺍﻟﱵ ﺗﺘﺴﺎﻭﻯ ﺃﻭ ﺗﺘﻘﺎﺭﺏ ﻓﻴﻬﺎ ﺃﻃﻮﺍﻝ ﺍ‪‬ﺎﺯﺍﺕ ﺑﻔﺮﻕ ﻻ ﻳﺰﻳﺪ ﻋﻠﻰ ‪ 25%‬ﻣﻦ ﺍ‪‬ﺎﺯ ﺍﻷﻛﱪ ‪,‬‬ ‫ﻭﲢﺖ ﻇﺮﻭﻑ ﺍﻟﺘﺤﻤﻴﻞ ﺍﻟﻌﺎﺩﻳﺔ ‪ ,‬ﻳﻜﺴﺢ ﻧﺼﻒ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺮﺋﻴﺴﻲ ﺍﻟﺴﻔﻠﻲ ﻋﻠﻰ ﺍﻷﻛﺜﺮ ‪ ,‬ﻋﻨﺪ‬ ‫ﻣﻦ ﻭﺟﻪ ﺍﳌﺴﻨﺪ ‪ ,‬ﻭﳝﺘﺪ ﰲ ﺍ‪‬ﺎﺯ ﺍ‪‬ﺎﻭﺭ ﺇﱃ ﻣﺴﺎﻓﺔ ﺗﺴﺎﻭﻱ‬

‫‪1‬‬ ‫‪4‬‬

‫‪1‬‬ ‫‪5‬‬

‫ﺍ‪‬ﺎﺯ ﺍﻟﺼـﺎﰲ‬

‫ﺃﻛﱪ ﺍ‪‬ﺎﺯﻳﻦ ﺍﳌﺘﺠﺎﻭﺭﻳﻦ ‪ ,‬ﻛﻤﺎ ﻫـﻮ ﻣـﺒﲔ ﰲ‬

‫ﺍﻟﺸﻜﻞ ) ‪ , ( 15-2‬ﻭﺫﻟﻚ ﺇﺫﺍ ﱂ ﺗﻜﻦ ﺍﻟﻘﻀﺒﺎﻥ ﻗﺪ ﺭ‪‬ﺗﺒﺖ ﻃﺒﻘﺎﹰ ﳌﺎ ﺟﺎﺀ ﰲ ﺍﻟﻔﻘﺮﺓ ﺍﻟﺴﺎﺑﻘﺔ )ﺃ( ‪ ,‬ﻭﰲ ﺍﳊـﺎﻻﺕ‬ ‫ﺍﳌﻌﻘﺪﺓ ﻳﺘﻢ ﺗﺮﺗﻴﺐ ﺍﻟﺘﺴﻠﻴﺢ ﺣﺴﺐ ﻣﻐﻠﻔﺎﺕ ﺍﻟﻌﺰﻭﻡ ﻭﺍﻟﱵ ﺑﺎﺳﺘﺨﺪﺍﻣﻬﺎ ﻳﺘﻢ ﺍﳊﺼﻮﻝ ﻋﻠﻰ ﻣﺎ ﻳﺴﻤﻰ " ﲟﺨﻄﻄﺎﺕ‬ ‫ﺍﳌﻮﺍﺩ " ‪.‬‬ ‫ﻭﳝﻜﻦ ﺃﻥ ﻳﻮﺿﻊ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺴﻔﻠﻲ ﻣﺴﺘﻤﺮﺍﹰ ﻭﺗﻮﺿﻊ ﺷﺒﻜﺔ ﻋﻠﻮﻳﺔ ﻋﻨﺪ ﺍﳌﺴﺎﻧﺪ ﲝﻴﺚ ﺗﺴﺘﻤﺮ ﺑﻌﺪ ﺍﳌﺴﻨﺪ ﰲ‬ ‫ﻛﻞ ﻃﺮﻑ ﻣﺴﺎﻓﺔ ﻻ ﺗﻘﻞ ﻋﻦ ‪ 0,25‬ﺃﻛﱪ ﺍ‪‬ﺎﺯﻳﻦ ﻭﺗﺴﺘﻌﻤﻞ ﻛﺮﺍﺳﻲ ﺧﺎﺻﺔ ﻟﺘﺜﺒﻴﺖ ﺍﻟﺸﺒﻜﺔ ﺍﻟﻌﻠﻮﻳﺔ ‪.‬‬ ‫ﺝ‪ -‬ﺃﻛﱪ ﻣﺴﺎﻓﺔ ﺑﲔ ﻗﻀﺒﺎﻥ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺮﺋﻴﺴﻲ ﰲ ﻣﻨﺘﺼﻒ ﺍ‪‬ﺎﺯ ﻻ ﺗﺘﻌﺪﻯ ﺿﻌﻒ ﲰﻚ ﺍﻟﺒﻼﻃﺔ ‪ ,‬ﻭﲝﻴﺚ ﻻ ﺗﺰﻳﺪ ﻋﻠﻰ‬ ‫‪. 200 mm‬‬ ‫ﺩ‪ -‬ﻻ ﺗﺰﻳﺪ ﺍﳌﺴﺎﻓﺔ ﺑﲔ ﻗﻀﺒﺎﻥ ﺍﻟﺘﺴﻠﻴﺢ ﰲ ﺍﻻﲡﺎﻩ ﺍﻟﺜﺎﻧﻮﻱ ‪ ,‬ﻋﻠﻰ ﺛﻼﺛﺔ ﺃﻣﺜﺎﻝ ﲰﻚ ﺍﻟﺒﻼﻃﺔ ‪ ,‬ﻭﲝﻴﺚ ﻻ ﺗﺰﻳﺪ ﻋﻠـﻰ‬ ‫‪. 250 mm‬‬ ‫ﻩ‪ -‬ﻻ ﻳﻘﻞ ﺍﻟﺘﺒﺎﻋﺪ ﺑﲔ ﻗﻀﺒﺎﻥ ﺍﻟﺘﺴﻠﻴﺢ ﻋﻦ ‪ , 80 mm‬ﺇﻻ ﰲ ﺣﺎﻟﺔ ﺗﺴﻠﻴﺢ ﺍﻟﺸﺒﻜﺎﺕ ‪.‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪45‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﻭ‪ -‬ﳚﺐ ﺃﻻ ﺗﻘﻞﹼ ﻣﺴﺎﺣﺔ ﻗﻄﺎﻉ ﻗﻀﺒﺎﻥ ﺍﻟﺘﺴﻠﻴﺢ ﻭﺍﳌﻤﺘﺪﺓ ﺇﱃ ﺍﳌﺴﺎﻧﺪ ‪ ,‬ﻋﻦ‬ ‫ﺍﳌﺴﺘﻌﻤﻞ ﰲ ﻣﻨﺘﺼﻒ ﺍ‪‬ﺎﺯ ‪.‬‬

‫‪1‬‬ ‫‪2‬‬

‫ﻣﺴﺎﺣﺔ ﻗﻄﺎﻉ ﺍﻟﺘﺴـﻠﻴﺢ ﺍﳌﻮﺟـﺐ‬

‫ﺯ‪ -‬ﺃﺻﻐﺮ ﻗﻄﺮ ﻟﻠﻘﻀﺒﺎﻥ ﺍﻟﺮﺋﻴﺴﺔ ﻫﻮ ‪ 6 mm‬ﻟﻠﻘﻀﺒﺎﻥ ﺍﳌﺴﺘﻘﻴﻤﺔ ‪ ,‬ﻭ ‪ 8 mm‬ﻟﻠﻘﻀﺒﺎﻥ ﺍﳌﻜﺴ‪‬ﺤﺔ ‪ ,‬ﻭﳝﻜﻦ ﺍﺳـﺘﻌﻤﺎﻝ‬ ‫ﻗﻀﺒﺎﻥ ﺫﺍﺕ ﻗﻄﺮ ﺃﺻﻐﺮ ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﻟﱵ ﻻ ﺗﺘﻌﺮﺽ ﺇﻻ ﻹﺟﻬﺎﺩﺍﺕ ﺿﻌﻴﻔﺔ ‪ ,‬ﺃﻭ ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺒﻘﺔ ﺍﻟﺼﺐ ‪,‬‬ ‫ﺃﻭ ﰲ ﺣﺎﻟﺔ ﺗﺴﻠﻴﺢ ﺍﻟﺸﺒﻜﺎﺕ ‪.‬‬ ‫ﺍﻷﻛﱪ ﻣﻦ‬

‫)‪(L2/4) or (L1/4‬‬

‫‪L2/5‬‬

‫‪L2/7‬‬

‫‪L1/5‬‬

‫‪L1/7‬‬ ‫‪L1‬‬

‫‪L2‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 15-2‬ﺗﻜﺴﻴﺢ ﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ ﻭﺍﺳﺘﻤﺮﺍﺭﻩ ﰲ ﺍﻟﻔﺘﺤﺎﺕ ﺍ‪‬ﺎﻭﺭﺓ‬

‫ﺡ‪ -‬ﺃﺻﻐﺮ ﻗﻄﺮ ﻟﻘﻀﺒﺎﻥ ﺍﻟﺘﻮﺯﻳﻊ ﺍﻟﺜﺎﻧﻮﻳﺔ ﻫﻮ‬ ‫ﺍﳋﺎﺻﺔ ﺍﳌﺬﻛﻮﺭﺓ ﰲ ﺍﻟﻔﻘﺮﺓ ﺍﻟﺴﺎﺑﻘﺔ ‪.‬‬ ‫ﻁ‪ -‬ﻻ ﻳﺰﻳﺪ ﻗﻄﺮ ﻗﻀﺒﺎﻥ ﺍﻟﺘﺴﻠﻴﺢ ﻋﻦ‬

‫‪1‬‬ ‫‪10‬‬

‫‪mm‬‬

‫‪ , 6‬ﻭﳝﻜﻦ ﺍﺳﺘﻌﻤﺎﻝ ﻗﻀﺒﺎﻥ ﺫﺍﺕ ﻗﻄﺮ ﺃﺻﻐﺮ ‪ ,‬ﻭﺫﻟﻚ ﰲ ﺍﳊﺎﻻﺕ‬

‫ﲰﻚ ﺍﻟﺒﻼﻃﺔ ‪.‬‬

‫ﻱ‪ -‬ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﻟﱵ ﻳﺴﺎﻭﻱ ﲰﻜﻬﺎ ﺃﻭ ﻳﺰﻳﺪ ﻋﻦ‬ ‫ﺇﺫﺍ ﱂ ﺗﺜﺒﺖ ﺍﳊﺴﺎﺑﺎﺕ ﺇﱃ ﺃﻛﱪ ﻣﻦ ﻫﺬﻩ ﺍﻟﻨﺴﺒﺔ ‪.‬‬

‫‪mm‬‬

‫‪ 200‬ﻳﻠﺰﻡ ﺍﺳﺘﻌﻤﺎﻝ ﺷﺒﻜﺔ ﺗﺴﻠﻴﺢ ﻋﻠﻮﻳﺔ ﺑﻨﺴﺒﺔ ﺗﺴﻠﻴﺢ ﺩﻧﻴﺎ‬

‫ﻙ‪ -‬ﳚﺐ ﺍﶈﺎﻓﻈﺔ ﻋﻠﻰ ﻭﺿﻊ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻌﻠﻮﻱ ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﰲ ﻣﻜﺎﻧﻪ ﺍﻟﺘﺼﻤﻴﻤﻲ ﺑﺎﺳﺘﻌﻤﺎﻝ ﻛﺮﺍﺳﻲ ﺑﺄﻗﻄﺎﺭ ﻻ ﺗﻘﻞ ﻋﻦ‬ ‫‪ 10 mm‬ﻭﺑﺘﺒﺎﻋﺪ ﻻ ﻳﺰﻳﺪ ﻋﻦ ‪ , 1000 mm‬ﻭﲝﻴﺚ ﳛﻤﻞ ﻗﻀﻴﺒﲔ ﻣﺘﺠﺎﻭﺭﻳﻦ ﻓﻘﻂ ‪ ,‬ﻛﻤﺎ ﻫﻮ ﻣﺒﲔ ﰲ ﺍﻟﺸﻜﻞ (‬ ‫) ‪. 16-2‬‬ ‫ﻝ‪ -‬ﺃﻣﺎ ﰲ ﺣﺎﻟﺔ ﺍﻷﻇﻔﺎﺭ ﻓﻴﺠﺐ ﺍﶈﺎﻓﻈﺔ ﻋﻠﻰ ﻭﺿﻊ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻌﻠﻮﻱ ﺑﺴﻨﺪﻩ ﻋﻠﻰ ﺗﺴﻠﻴﺢ ﻋﺼﺐ ﳐﻔﻲ ﻣﺆﻟـﻒ ﻣـﻦ‬ ‫ﺃﺭﺑﻌﺔ ﻗﻀﺒﺎﻥ ﺑﻘﻄﺮ ﻻ ﻳﻘﻞ ﻋﻦ ‪ 10 mm‬ﻭﺃﺳﺎﻭﺭ ﻻ ﻳﻘﻞ ﻗﻄﺮﻫﺎ ﻋﻦ ‪ 8 mm‬ﻛﻞ ‪ 20 mm‬ﻭﻓﻖ ﺍﻟﺸﻜﻞ ) ‪( 17-2‬‬ ‫‪ ,‬ﲝﻴﺚ ﻳﻜﻮﻥ ﻣﻮﻗﻌﻪ ﻣﺘﻌﺎﻣﺪﺍﹰ ﻣﻊ ﺍﲡﺎﻩ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻌﻠﻮﻱ ﻭﻗﺮﻳﺒﺎﹰ ﻣﻦ ﺍﳌﺴﻨﺪ ‪ ,‬ﻭﳚﺐ ﺭﺳـﻢ ﺗﻔﺎﺻـﻴﻞ ﺍﳉـﻮﺍﺋﺰ‬ ‫ﻭﺍﻟﻌﺼﺐ ﺍﳌﺨﻔﻲ ﰲ ﺍﳌﺨﻄﻄﺎﺕ ‪.‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪46‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬ ‫ﺗﺴﻠﻴﺢ ﻋﻠﻮﻱ ﰲ ﺑﻼﻃﺔ‬

‫ﻛﺮﺳﻲ‬ ‫ﻛﺮﺳﻲ‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 16-2‬ﺍﻟﻜﺮﺍﺳﻲ ﺍﳊﺎﻣﻠﺔ ﻟﻔﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻌﻠﻮﻱ‬

‫ﺑﺎﻗﻲ ﺍﻟﺘﺴﻠﻴﺢ ﻏﲑ ﻣﺒﲔ‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 17-2‬ﺗﻨﻔﻴﺬ ﻓﻮﻻﺫ ﺗﺴﻠﻴﺢ ﺍﻟﺒﻼﻃﺎﺕ ﺍﻟﻈﻔﺮﻳﺔ‬

‫ﻭﺻﻞ ﻗﻀﺒﺎﻥ ﺍﻟﺘﺴﻠﻴﺢ ‪:‬‬ ‫ﺃ‪ -‬ﻭﺻﻼﺕ ﺍﻟﺮﻛﻮﺏ ‪:‬‬ ‫ﻳﺘﻢ ﺗﻨﻔﻴﺬﻫﺎ ﺑﺎﻟﻨﺴﺒﺔ ﺇﱃ ﺍﻟﻘﻀﺒﺎﻥ ﺍﻟﱵ ﻻ ﻳﺰﻳﺪ ﻗﻄﺮﻫﺎ ﻋﻦ ‪ , 32 mm‬ﻭﻻ ﻳﻘﻞﹼ ﻃﻮﻝ ﺍﻟﺮﻛﻮﺏ ﻓﻴﻬﺎ ﻋﻦ ﺍﻟﻘﻴﻢ ﺍﳌﺒﻴ‪‬ﻨﺔ‬ ‫ﰲ ﺍﳉﺪﻭﻝ ) ‪. ( 9-2‬‬ ‫ﺍﳉﺪﻭﻝ ) ‪ ( 9-2‬ﺃﻃﻮﺍﻝ ﺗﺮﺍﻛﺐ ﻗﻀﺒﺎﻥ ﺍﻟﺘﺴﻠﻴﺢ‬ ‫ﺍﳊﺎﻟﺔ‬ ‫ﺣﺎﻟﺔ ﺍﻟﺸﺪ‬ ‫ﺣﺎﻟﺔ ﺍﻟﻀﻐﻂ‬

‫ﺍﻟﺘﺴﻠﻴﺢ ﺍﳌﺴﺘﻌﻤﻞ‬

‫ﻃﻮﻝ ﺍﻟﺘﺮﺍﻛﺐ‬

‫ﺍﳊﺪ ﺍﻷﺩﱏ ﻟﻠﺘﺮﺍﻛﺐ‬

‫ﺃﻗﻞ ﻣﻦ ‪2‬‬

‫‪1,3.Lb‬‬

‫‪35F100 mm‬‬

‫ﺃﻛﺜﺮ ﺃﻭ ﺗﺴﺎﻭﻱ ‪2‬‬

‫‪1,0.Lb‬‬

‫‪30F100 mm‬‬

‫ﲨﻴﻊ ﺍﳊﺎﻻﺕ‬

‫‪1,3.Lb‬‬

‫‪25F150 mm‬‬

‫ﺍﻟﺘﺴﻠﻴﺢ ﺍﳌﻄﻠﻮﺏ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪47‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫‪1‬‬ ‫ﻭﳚﺐ ﺃﻻ ﻳﺰﻳﺪ ﻋﺪﺩ ﺍﻟﻘﻀﺒﺎﻥ ﺍﳌﻮﺻﻮﻟﺔ ﰲ ﺍﳌﻜﺎﻥ ﺍﻟﻮﺍﺣﺪ ﻋﻦ‬ ‫‪2‬‬ ‫‪1‬‬ ‫ﺍﻧﻌﻄﺎﻑ ‪ ,‬ﻣﻊ ﺃﻭ ﺩﻭﻥ ﻗﻮﺓ ﺿﻐﻂ ﳏﻮﺭﻳﺔ ﻣﺮﺍﻓﻘﺔ ‪ ,‬ﻭﳚﺐ ﺃﻻ ﻳﺰﻳﺪ ﻋﻦ‬ ‫‪3‬‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﻋﺪﺩ ﺍﻟﻘﻀﺒﺎﻥ ﺑﺎﳌﻘﻄﻊ ‪ ,‬ﺇﺫﺍ ﻛﺎﻥ ﻣﻌﺮﺿﺎﹰ ﻟﻌﺰﻡ‬ ‫ﻋﺪﺩ ﺍﻟﻘﻀﺒﺎﻥ ﺑﺎﳌﻘﻄﻊ ﰲ ﺍﻷﻋﻀﺎﺀ ﺍﳌﻌﺮ‪‬ﺿـﺔ‬

‫ﻟﻘﻮﻯ ﺷﺪ‪ ‬ﳏﻮﺭﻳﺔ ‪ ,‬ﻣﻊ ﺃﻭ ﺩﻭﻥ ﻋﺰﻡ ﺍﻧﻌﻄﺎﻑ ﻣﺮﺍﻓﻖ ‪ ,‬ﻋﻠﻰ ﺃﻧﻪ ﰲ ﺍﻟﻌﻨﺎﺻﺮ ﺍﳌﺸﺪﻭﺩﺓ ﺑﻘﻮﻯ ﺷﺪ‪ ‬ﻣﻄﺒ‪‬ﻘﺔ ﻋﻠـﻰ ﻛﺎﻣـﻞ‬ ‫ﻣﻘﻄﻌﻬﺎ ‪ ,‬ﻻ ﻳﻔﻀ‪‬ﻞ ﻓﻴﻬﺎ ﺍﺳﺘﻌﻤﺎﻝ ﺍﻟﻮﺻﻼﺕ ﺑﺎﻟﺮﻛﻮﺏ ‪ ,‬ﻭﻳﺴﺘﺤﺴﻦ ﺍﻟﻠﺠﻮﺀ ﺇﱃ ﺍﻟﻮﺻـﻞ ﺑﺎﻟﻠﺤـﺎﻡ ‪ ,‬ﺃﻭ ﺑﺎﻟﻮﺳـﺎﺋﻞ‬ ‫ﺍﳌﻴﻜﺎﻧﻴﻜﻴﺔ ﺍﳌﻨﺎﺳﺒﺔ ‪ ,‬ﺇﻥ ﺃﻣﻜﻦ ‪.‬‬ ‫ﺏ‪ -‬ﻭﺻﻼﺕ ﺍﻟﻠﺤﺎﻡ ‪:‬‬ ‫ﻳﺴﻤﺢ ﺑﻌﻤﻞ ﻭﺻﻼﺕ ﺑﺎﻟﻠﺤﺎﻡ ﻟﻠﻔﻮﻻﺫ ﺍﻟﺬﻱ ﺣﺪ ﻣﺮﻭﻧﺘﻪ ﺍﻻﺻﻄﻼﺣﻲ ﺃﻗﻞ ﻣﻦ ﺃﻭ ﻣﺴﺎﻭﹴ ﻟـ ‪ , 500 MPa‬ﻛﻤﺎ‬ ‫ﳚﺐ ﺃﻻ ﻳﺆﺩﻱ ﺍﻟﻠﺤﺎﻡ ﺇﱃ ﺗﻐﻴﲑ ) ﲣﻔﻴﺾ ( ﺍﳋﻮﺍﺹ ﺍﳌﻴﻜﺎﻧﻴﻜﻴﺔ ﻟﻠﻔﻮﻻﺫ ‪ ,‬ﻭﻟﺬﻟﻚ ﻻ ﻳ‪‬ﺴﻤﺢ ﺑﻠﺤﺎﻡ ﻗﻀـﺒﺎﻥ ﺍﻟﻔـﻮﻻﺫ‬ ‫ﺍﳌﻌﺎﰿ ﻋﻠﻰ ﺍﻟﺒﺎﺭﺩ ‪ ,‬ﺇﻻ ﺇﺫﺍ ﺃﹸﺧﺬ ﺑﺎﳊﺴﺒﺎﻥ ﺍﳔﻔﺎﺽ ﻣﻘﺎﻭﻣﺘﻬﺎ ‪ ,‬ﻭﺍﻟﻠﺤﺎﻡ ﳚﺐ ﺃﻥ ﻳﻜﻮﻥ ﺣﺴﺐ ﺍﳌﻮﺍﺻﻔﺎﺕ ﺍﻹﻗﻠﻴﻤﻴـﺔ‬ ‫ﺍﳌﻌﻤﻮﻝ ‪‬ﺎ ‪.‬‬ ‫ﻭﺍﻟﻘﻀﺒﺎﻥ ﺍﳌﻠﺤﻮﻣﺔ ﳚﺐ ﺃﻥ ﺗﻈﻞﹼ ﳏﺎﻭﺭﻫﺎ ﻋﻠﻰ ﺍﺳﺘﻘﺎﻣﺔ ﻭﺍﺣﺪﺓ ﻋﻨﺪ ﻣﻮﺿﻊ ﺍﻟﻠﺤﺎﻡ ‪ ,‬ﻭﳚﺐ ﺃﻥ ﺗ‪‬ﺨﺘﱪ ﻋﻴﻨﺎﺕ ﻣﻦ‬ ‫ﺍﻟﻘﻀﺒﺎﻥ ﺍﳌﻠﺤﻮﻣﺔ ﻹﺛﺒﺎﺕ ﺻﻼﺣﻴﺘﻬﺎ ‪ ,‬ﻭﻳﻜﻮﻥ ﻋﺪﺩ ﺍﻟﻘﻀﺒﺎﻥ ﺍﳌﺴﻤﻮﺡ ﺑﻮﺻﻠﻬﺎ ﰲ ﻣﻜﺎﻥ ﻭﺍﺣﺪ ﻣﻦ ﺍﳌﻘﻄﻊ ﻃﺒﻘﺎﹰ ﳌـﺎ ﰎﹼ‬ ‫ﺫﻛﺮﻩ ﰲ ﻭﺻﻼﺕ ﺍﻟﺮﻛﻮﺏ ‪.‬‬ ‫ﺝ‪ -‬ﻭﺻﻼﺕ ﻣﻴﻜﺎﻧﻴﻜﻴﺔ ‪:‬‬ ‫ﻳﺘﻢ ﻭﺻﻞ ﺍﻟﻘﻀﺒﺎﻥ ﻣﻴﻜﺎﻧﻴﻜﻴﺎﹰ ﻋﻦ ﻃﺮﻳﻖ ﻗﻠﻮﻇﺔ ‪‬ﺎﻳﺎ‪‬ﺎ ‪ ,‬ﻭﺗﺜﺒﻴﺘﻬﺎ ﺑﻮﺳﺎﻃﺔ ﻋﺰﻗﺎﺕ ﻭﺻﻔﺎﺋﺢ ﻭﺑﺄﺑﻌﺎﺩ ﻛﺎﻓﻴﺔ ﻟﺘﺄﻣﲔ‬ ‫ﺍﻧﺘﻘﺎﻝ ﺍﻹﺟﻬﺎﺩﺍﺕ ﻋﻠﻰ ﳓﻮ ﻛﺎﻣﻞ‪ ,‬ﺃﻭ ﺑﻮﺳﺎﺋﻂ ﻣﻴﻜﺎﻧﻴﻜﻴﺔ ﺃﺧﺮﻯ ﻣ‪‬ﺠﺮ‪‬ﺑﺔ ﻭ ﻣ‪‬ﺼﻨ‪‬ﻔﺔ ﺑﺼﻮﺭﺓ ﺧﺎﺻﺔ ﳍﺬﺍ ﺍﻟﻐـﺮﺽ ‪ ,‬ﻭﻻ‬ ‫ﳚﻮﺯ ﺍﺳﺘﻌﻤﺎﻝ ﺍﻟﻮﺻﻼﺕ ﺍﳌﻴﻜﺎﻧﻴﻜﻴﺔ ﺇﻻ ﺑﻌﺪ ﺇﺟﺮﺍﺀ ﲡﺎﺭﺏ ﺧﺎﺻ‪‬ﺔ ﻹﺛﺒﺎﺕ ﺻﻼﺣﻴﺔ ﺍﻷﺳﻠﻮﺏ ﺍﳌﺴﺘﻌﻤﻞ ‪.‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪48‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫‪ 7-2‬ﻧﻘﻞ ﲪﻮﻻﺕ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ﺇﱃ ﺍﳉﻮﺍﺋﺰ ‪:‬‬ ‫ﺗﻨﺘﻘﻞ ﺍﳊﻤﻮﻻﺕ ﻣﻦ ﺍﻟﺒﻼﻃﺎﺕ ﺇﱃ ﺍﳉﻮﺍﺋﺰ ﺍﳊﺎﻣﻠﺔ ‪ ,‬ﻭﺗﻌﺪ‪ ‬ﺭﺩﻭﺩ ﺃﻓﻌﺎﻝ ﻫﺬﻩ ﺍﻟﺒﻼﻃﺎﺕ ﲪﻮﻻﺕ ﻋﻠـﻰ ﺍﳉـﻮﺍﺋﺰ‬ ‫ﺇﺿﺎﻓﺔ ﺇﱃ ﺃﻭﺯﺍ‪‬ﺎ ﺍﻟﺬﺍﺗﻴﺔ ﻭﺍﳊﻤﻮﻻﺕ ﺍﳌﺒﺎﺷﺮﺓ ﺍﻷﺧﺮﻯ ‪ ،‬ﻭﻳﺘﻢ ﲢﺪﻳﺪ ﺭﺩﻭﺩ ﺃﻓﻌﺎﻝ ﺍﻟﺒﻼﻃﺎﺕ ﻋﻠﻰ ﺍﻟﻨﺤﻮ ﺍﻵﰐ ‪:‬‬ ‫ﺃ ‪ -‬ﰲ ﺣﺎﻟﺔ ﺍﻟﺘﺤﻠﻴﻞ ﺍﻹﻧﺸﺎﺋﻲ ﺍﻟﺪﻗﻴﻖ ﺗﻌﺘﻤﺪ ﺭﺩﻭﺩ ﺃﻓﻌﺎﻝ ﺍﻟﺒﻼﻃﺎﺕ ﺍﻟﱵ ﻳﺘﻢ ﺍﳊﺼﻮﻝ ﻛﺄﲪﺎﻝ ﻣﻨﻘﻮﻟﺔ ﺇﱃ ﺍﳉﻮﺍﺋﺰ‪.‬‬ ‫ﺏ ‪ -‬ﰲ ﺣﺎﻟﺔ ﺍﳊﺴﺎﺏ ﺑﺎﻟﻄﺮﻳﻘﺔ ﺍﻟﺘﻘﺮﻳﺒﻴﺔ ﺍﻋﺘﻤﺎﺩﺍﹰ ﻋﻠﻰ ﺍﻟﻌﻮﺍﻣﻞ ﺍﳌﺬﻛﻮﺭﺓ ﰲ ﺍﻟﺒﻨﺪ ) ‪ ( 1-4-2‬ﺗﺆﺧﺬ ﺭﺩﻭﺩ ﺍﻷﻓﻌﺎﻝ‬ ‫ﺍﻟﻨﺎﲡﺔ ﻋﻦ ﺍﻓﺘﺮﺍﺽ ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﺳﺘﻨﺎﺩ ﺑﺴﻴﻂ ﻋﻠﻰ ﺍﳉﻮﺍﺋﺰ ﺍﳊﺎﻣﻠﺔ ﻣﻊ ﺃﺧﺬ ﺃﺛﺮ ﺍﻻﺳﺘﻤﺮﺍﺭ ﺑﺰﻳﺎﺩﺓ ﺭﺩ ﺍﻟﻔﻌﻞ ﰲ ﺍﳌﺴﻨﺪ‬ ‫ﺍﻟﺪﺍﺧﻠﻲ ﺍﻷﻭﻝ ﲟﻘﺪﺍﺭ ‪ 10 %‬ﺇﺫﺍ ﻛﺎﻥ ﻋﺪﺩ ﺍ‪‬ﺎﺯﺍﺕ ﻻ ﻳﻘﻞ ﻋﻦ ﺛﻼﺛﺔ ﻭ ‪ 15 %‬ﺇﺫﺍ ﻛﺎﻥ ﻋﺪﺩ ﺍ‪‬ﺎﺯﺍﺕ ﺍﺛﻨﲔ ﻓﻘﻂ ﻛﻤﺎ‬ ‫ﻫﻮ ﻣﻮﺿﺢ ﰲ ﺍﻟﺸﻜﻞ ) ‪. ( 18-2‬‬ ‫‪w or wu‬‬

‫‪R=wL‬‬

‫‪R = 1,1w L‬‬

‫‪R = 0,5 w L‬‬

‫‪w or wu‬‬

‫‪R = 0,5 w L‬‬

‫‪R = 1,15 w L‬‬

‫‪R = 0,5 w L‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 18-2‬ﺭﺩﻭﺩ ﺃﻓﻌﺎﻝ ﺍﻟﺒﻼﻃﺎﺕ ﻋﻠﻰ ﺍﳉﻮﺍﺋﺰ‬

‫ﺣﻴﺚ ‪:‬‬ ‫‪ w‬ﺍﳊﻤﻮﻻﺕ ﺍﻟﻜﻠﻴﺔ )ﺩﺍﺋﻤﺔ ‪ +‬ﺇﺿﺎﻓﻴﺔ( ﺍﳌﻄﺒﻘﺔ ﻋﻠﻰ ﳎﺎﺯ ﺍﻟﺒﻼﻃﺔ ﺍﻟﻄﺮﻓﻴﺔ ﻋﻨﺪ ﺣﺴﺎﺏ ﺭﺩ ﺍﻟﻔﻌﻞ ﻋﻠﻰ ﺍﳌﺴـﻨﺪ‬ ‫ﺍﻟﻄﺮﰲ ﺃﻭ ﻣﺘﻮﺳﻂ ﺍﳊﻤﻮﻻﺕ ﺍﻟﻜﻠﻴﺔ ﺍﳌﻄﺒﻘﺔ ﻋﻠﻰ ﺍ‪‬ﺎﺯﻳﻦ ﺍﳌﺘﺠﺎﻭﺭﻳﻦ ﻣﻦ ﺍﻟﺒﻼﻃﺎﺕ ﻋﻨﺪ ﺣﺴﺎﺏ ﺭﺩ ﺍﻟﻔﻌﻞ ﻋﻠﻰ ﺍﳌﺴﺎﻧﺪ‬ ‫ﺍﻟﺪﺍﺧﻠﻴﺔ ‪ ,‬ﻭﻳﺆﺧﺬ ‪ wu‬ﰲ ﺣﺎﻟﺔ ﺍﳊﺪ ﺍﻷﻗﺼﻰ ‪.‬‬ ‫‪ L‬ﻃﻮﻝ ﳎﺎﺯ ﺍﻟﺒﻼﻃﺔ ﺍﻟﻄﺮﻓﻴﺔ ﻋﻨﺪ ﺣﺴﺎﺏ ﺭﺩ ﺍﻟﻔﻌﻞ ﻋﻠﻰ ﺍﳌﺴﻨﺪ ﺍﻟﻄﺮﰲ ﺃﻭ ﻣﺘﻮﺳﻂ ﻃﻮﱄ ﺍ‪‬ﺎﺯﻳﻦ ﺍﳌﺘﺠـﺎﻭﺭﻳﻦ‬ ‫ﻟﻠﺒﻼﻃﺎﺕ ﻋﻨﺪ ﺣﺴﺎﺏ ﺭﺩ ﺍﻟﻔﻌﻞ ﻋﻠﻰ ﺍﳌﺴﺎﻧﺪ ﺍﻟﺪﺍﺧﻠﻴﺔ‪.‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪49‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺼﻞ ﺍﻟﺜﺎﻟﺚ‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬ ‫‪ 1-3‬ﻣﻘﺪﻣﺔ ‪:‬‬ ‫ﺗﺴﺘﺨﺪﻡ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ ﻟﺘﻠﺒﻴﺔ ﻣﺘﻄﻠﺒﺎﺕ ﻣﻌﻤﺎﺭﻳﺔ ﻭﺇﻧﺸﺎﺋﻴﺔ ﻛﺄﺭﺿﻴﺎﺕ ﻭﺃﺳـﻘﻒ ﰲ ﺍﳌﺒـﺎﱐ‬ ‫ﺍﻟﺴﻜﻨﻴﺔ ﻭﺍﻹﺩﺍﺭﻳﺔ ﻭ ﺍﻟﻘﺎﻋﺎﺕ ﻭﺍﳌﺴﺘﻮﺩﻋﺎﺕ ﺍﳌﺨﺘﻠﻔﺔ ‪ ،‬ﻭﺍﻟﺸﻜﻞ ) ‪ ( 1-3‬ﻳﻌﺮﺽ ﺻﻮﺭﺓ ﺳﻔﻠﻴﺔ ﺗﻮﺿﺢ ﲨﻠـﺔ ﺍﳉـﻮﺍﺋﺰ‬ ‫ﺍﳊﺎﻣﻠﺔ ﻟﻠﺒﻼﻃﺔ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ ‪ ،‬ﻛﻤﺎ ﺗﺴﺘﺨﺪﻡ ﻣﺜﻞ ﻫﺬﻩ ﺍﻟﺒﻼﻃﺎﺕ ﺑﺸﻜﻞ ﻭﺍﺳﻊ ﰲ ﻋﻨﺎﺻﺮ ﺍﳌﻨﺸﺂﺕ ﺍﳌﺎﺋﻴـﺔ‬ ‫ﻛﺎﻷﻗﻨﻴﺔ ﻭﺍﳉﺴﻮﺭ ﺍﳌﺎﺋﻴﺔ ﻭﺍﳋﺰﺍﻧﺎﺕ ‪ ,‬ﻭﺍﳉﺪﺭﺍﻥ ﺍﻻﺳﺘﻨﺎﺩﻳﺔ ﻭﺍﳊﺼﺎﺋﺮ ‪ ،‬ﻭﻳﻌﺮﺽ ﺍﻟﺸـﻜﻞ ) ‪ ( 2-3‬ﺍﺳـﺘﺨﺪﺍﻡ ﻫـﺬﻩ‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﰲ ﺃﺣﺪ ﺍﳉﺴﻮﺭ ﺍﳌﺎﺋﻴﺔ ‪.‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 1-3‬ﻣﻨﻈﺮ ﺳﻔﻠﻲ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 2-3‬ﺍﺳﺘﺨﺪﺍﻡ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﰲ ﺃﺣﺪ ﺍﳉﺴﻮﺭ ﺍﳌﺎﺋﻴﺔ‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪51‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫‪ 2-3‬ﲢﺪﻳﺪ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‪:‬‬ ‫ﺃ‪ -‬ﺗﻜﻮﻥ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻄﻴﻠﺔ ) ﺳﻮﺍﺀ ﻛﺎﻧﺖ ﻣﺼﻤﺘﺔ ﺃﻡ ﻣﻔﺮ‪‬ﻏﺔ ﺃﻡ ﻣﺘﺼﺎﻟﺒﺔ ﺍﳉﻮﺍﺋﺰ ( ﻋﺎﻣﻠﺔ ﺑﺎﲡﺎﻫﲔ ‪ ,‬ﺇﺫﺍ ﲢﻘﻖ ﻛﻞ‬ ‫ﻣﻦ ﺍﻟﺸﺮﻃﲔ ﺍﻟﺘﺎﻟﻴﲔ ‪:‬‬ ‫‪ -1‬ﺍﻟﺒﻼﻃﺔ ﻣﺴﺘﻨﺪﺓ ﻋﻠﻰ ﺍﻣﺘﺪﺍﺩ ﺣﻮﺍﻓﻬﺎ ﺍﻷﺭﺑﻊ ‪ ،‬ﳝﻜﻦ ﺃﻥ ﺗﺴﺘﻨﺪ ﻋﻠﻰ ﺟﺪﺭﺍﻥ ﺃﻭ ﻋﻠﻰ ﺟﻮﺍﺋﺰ ﺣﺎﻣﻠﺔ ‪.‬‬ ‫‪ -2‬ﺩﺭﺟﺔ ) ﻧﺴﺒﺔ ( ﺍﺳﺘﻄﺎﻟﺘﻬﺎ ) ‪ ( r‬ﺃﻗﻞ ﻣﻦ ‪ , 2‬ﻭﺃﻛﱪ ﻣﻦ ) ‪. ( 0,76‬‬ ‫ﺏ‪ -‬ﻟﺘﺤﺪﻳﺪ ﺩﺭﺟﺔ ﺍﻻﺳﺘﻄﺎﻟﺔ ﻳﺘﻢ ﺍﻟﻌﻮﺩﺓ ﺇﱃ ﺍﻟﻔﻘﺮﺓ ) ﺝ ( ﻣﻦ ﺍﻟﺒﻨﺪ ) ‪. ( 1-2‬‬ ‫ﺝ‪ -‬ﺗﻌﺪ‪ ‬ﺍﻟﺒﻼﻃﺎﺕ ﺍﻟﺪﺍﺋﺮﻳﺔ ﻭﺍﳌﺜﻠﺜﻴﺔ ﺑﻼﻃﺎﺕ ﻋﺎﻣﻠﺔ ﺑﺎﲡﺎﻫﲔ ‪ ,‬ﻭﳝﻜﻦ ﺍﻟﺮﺟﻮﻉ ﻟﻠﻤﺮﺍﺟـﻊ ﺍﳌﺨﺘﺼـﺔ ﰲ ﺣﺴـﺎﺏ‬ ‫ﺍﻹﻧﺸﺎﺀﺍﺕ ﺃﻭ ﺍﻻﻋﺘﻤﺎﺩ ﻋﻠﻰ ﺍﻟﺘﺤﻠﻴﻞ ﺍﻹﻧﺸﺎﺋﻲ ﻣﻦ ﺃﺟﻞ ﺣﺴﺎﺏ ﻋﺰﻭﻡ ﺍﻻﻧﻌﻄﺎﻑ ﳍﺬﻩ ﺍﻟﺒﻼﻃﺎﺕ ‪ ,‬ﺃﻣﺎ ﺍﻟﺒﻼﻃﺎﺕ‬ ‫ﺍﳌﺴﺘﻨﺪﺓ ﻋﻠﻰ ﺛﻼﺙ ﺣﻮﺍﻑ ﻓﻘﺪ ﰎ ﻣﻌﺎﳉﺘﻬﺎ ﰲ ﺍﻟﻔﺼﻞ ﺍﻟﺜﺎﱐ ﺍﳌﺘﻌﻠﻖ ﺑﺎﻷﺩﺭﺍﺝ ‪.‬‬ ‫ﳝﻜﻦ ﺃﻥ ﺗﺘﻮﺍﺟﺪ ﺍﻟﺒﻼﻃﺎﺕ ﺑﺄﺷﻜﺎﻝ ﳐﺘﻠﻔﺔ ﻣﻦ ﺣﻴﺚ ﺍﺳﺘﻨﺎﺩﻫﺎ ﻭﺍﺳﺘﻤﺮﺍﺭﻫﺎ ‪ ،‬ﻓﻘﺪ ﺗﻜﻮﻥ ﺍﻟﺒﻼﻃﺔ ﻣﺴﺘﻨﺪﺓ ﺍﺳﺘﻨﺎﺩﹰﺍ‬ ‫ﺑﺴﻴﻄﺎﹰ ﻋﻨﺪ ﲨﻴﻊ ﺍﻷﻃﺮﺍﻑ ‪ ،‬ﺃﻭ ﻣﻮﺛﻮﻗﺔ ﻋﻨﺪ ﺑﻌﺾ ﺍﻷﻃﺮﺍﻑ ﻭﻣﺴﺘﻨﺪﺓ ﺍﺳﺘﻨﺎﺩﺍﹰ ﺑﺴﻴﻄﺎﹰ ﻋﻨﺪ ﺍﻷﻃـﺮﺍﻑ ﺍﻷﺧـﺮﻯ ‪ ،‬ﺃﻭ‬ ‫ﻣﻮﺛﻮﻗﺔ ﻋﻨﺪ ﲨﻴﻊ ﺍﻷﻃﺮﺍﻑ ‪.‬‬ ‫‪ 3-3‬ﺍﻻﺷﺘﺮﺍﻃﺎﺕ ﺍﻟﺒﻌﺪﻳﺔ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ ‪:‬‬ ‫ﺃ‪ -‬ﳛﺪﺩ ﺍﻟﺴﻤﻚ ﺍﻷﺩﱏ ) ‪ ( t‬ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ ﻭﺍﳌﺴﺘﻨﺪﺓ ﻋﻠﻰ ﺟﺪﺭﺍﻥ ﺃﻭ ﺟﻮﺍﺋﺰ ﺗﺰﻳﺪ ﺃﻋﻤﺎﻗﻬﺎ ﻋﻠﻰ‬ ‫ﺿﻌﻒ ﲰﻚ ﺍﻟﺒﻼﻃﺔ ﺗﺒﻌﺎﹰ ﻷﺑﻌﺎﺩﻫﺎ ﻭﺍﺳﺘﻤﺮﺍﺭﻫﺎ ﲟﺎ ﻻ ﻳﻘﻞ ﻋﻦ ﳏﻴﻄﻬﺎ ﺍﳌﻜﺎﻓﺊ ﻣﻘﺴﻮﻣﺎﹰ ﻋﻠﻰ ‪ , 140‬ﻭ ﺇﻻ ﻓﻴﻠﺰﻡ‬ ‫ﺍﻟﺘﺤﻘﻖ ﻣﻦ ﺍﻟﺴﻬﻢ ﻭﺫﻟﻚ ﻭﻓﻖ ﺍﻟﺒﻨﺪ ) ‪ ( 5-10‬ﻣﻦ ﺍﻟﻜﻮﺩ ﺍﻟﻌﺮﰊ ﺍﻟﺴﻮﺭﻱ ‪.‬‬ ‫ﺏ‪ -‬ﻳ‪‬ﻌﺮ‪‬ﻑ ﺍﶈﻴﻂ ﺍﳌﻜﺎﻓﺊ ﺑﺄﻧﻪ ﳎﻤﻮﻉ ﺍﻷﻃﻮﺍﻝ ﺍﳌﻜﺎﻓﺌﺔ ﻷﺿﻼﻉ ﺍﻟﺒﻼﻃﺔ ‪ ،‬ﻭﻳ‪‬ﺆﺧﺬ ﺍﻟﻄﻮﻝ ﺍﳌﻜﺎﻓﺊ ﻟﻀﻠﻊ ﻣـﺎ ﻣـﻦ‬ ‫ﺍﻟﺒﻼﻃﺔ ﻣﺴﺎﻭﻳﺎﹰ ﺇﱃ ﻃﻮﻟﻪ ﺍﻟﻔﻌﻠﻲ ﻋﻨﺪ ﺍﻟﻮﺟﻪ ﺍﻟﺪﺍﺧﻠﻲ ﻟﻼﺳﺘﻨﺎﺩ ﺇﺫﺍ ﻛﺎﻧﺖ ﺍﻟﺒﻼﻃﺔ ﻣﺴﺘﻨﺪﺓ ﺍﺳﺘﻨﺎﺩﺍﹰ ﺑﺴﻴﻄﺎﹰ ﻋﻨﺪ ﻫﺬﺍ‬ ‫ﺍﻟﻀﻠﻊ ‪ ,‬ﻭ ‪ 0,76‬ﻣﻦ ﺍﻟﻄﻮﻝ ﺍﻟﻔﻌﻠﻲ ﻋﻨﺪ ﺍﻟﻮﺟﻪ ﺍﻟﺪﺍﺧﻠﻲ ﻟﻼﺳﺘﻨﺎﺩ ﺇﺫﺍ ﻛﺎﻧﺖ ﺍﻟﺒﻼﻃﺔ ﻣﺴﺘﻤﺮﺓ ﻋﻨﺪ ﻫﺬﺍ ﺍﻟﻀﻠﻊ ‪.‬‬ ‫ﺝ‪ -‬ﺇﺫﺍ ﻛﺎﻥ ﺍﺭﺗﻔﺎﻉ ﺍﳉﻮﺍﺋﺰ ﺍﳊﺎﻣﻠﺔ ﻟﻠﺒﻼﻃﺔ ‪ ,‬ﻳﻘﻞﹼ ﻋﻦ ﺿﻌﻒ ﲰﻚ ﺍﻟﺒﻼﻃﺔ ‪ ,‬ﻳﺆﺧﺬ ﺍﻟﺴﻤﻚ ﺍﻷﺩﱏ ﻟﻠﺒﻼﻃﺔ ﺑﻔﺮﺿﻬﺎ‬ ‫ﻣﺴﺘﻨﺪﺓ ﻋﻠﻰ ﺍﻷﻋﻤﺪﺓ ﻣﺒﺎﺷﺮﺓ ‪ ,‬ﻭﳛﺪﺩ ﺍﻟﺴﻤﻚ ﺍﻷﺩﱏ ﰲ ﻫﺬﻩ ﺍﳊﺎﻟﺔ ﺍﺳﺘﻨﺎﺩﺍﹰ ﺇﱃ ﺃﺑﻌﺎﺩ ﺍﻟﺒﻼﻃﺔ ﻭﻣﻮﻗﻊ ﺍ‪‬ﺎﺯ ﻭﺗﻮﻓﺮ‬ ‫ﺃﻭ ﻋﺪﻡ ﺗﻮﻓﺮ ﺳﻘﻮﻁ ﰲ ﺍﻟﺒﻼﻃﺔ ﲟﺎ ﻻ ﻳﻘﻞ ﻋﻦ ﺍﻟﻘﻴﻢ ﺍﻟﻮﺍﺭﺩﺓ ﰲ ﺍﳉﺪﻭﻝ ) ‪ , ( 1-3‬ﻭﺗﺆﺧﺬ ) ‪ ( L‬ﰲ ﻫـﺬﻩ‬ ‫ﺍﳊﺎﻟﺔ ﻣﺴﺎﻭﻳﺔ ﻟﻠﻤﺘﻮﺳﻂ ﺍﳊﺴﺎﰊ ﻟﻠﻤﺴﺎﻓﺘﲔ ﺑﲔ ﳏﺎﻭﺭ ﺍﻷﻋﻤﺪﺓ ﰲ ﺍﻻﲡﺎﻫﲔ ﺍﳌﺘﻌﺎﻣﺪﻳﻦ‪.‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪52‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( 1-3‬ﺍﻟﺴﻤﻚ ﺍﻷﺩﱏ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬ ‫ﺟﻮﺍﺋﺰ ﻣﺘﺪﻟﻴﺔ‬ ‫ﲰﻜﻬﺎ ﻻ ﻳﻘﻞ‬

‫ﺍﻟﺴﻤﻚ‬ ‫ﺍﻷﺩﱏ‬ ‫)‪(t‬‬

‫ﺍﶈﻴﻂ ﺍﳌﻜﺎﻓﺊ ﻟﻠﺒﻼﻃﺔ ﻣﻘﺴﻮﻣﺎﹰ ﻋﻠﻰ ‪140‬‬

‫ﻋﻦ ﺿﻌﻒ‬ ‫ﲰﻚ ﺍﻟﺒﻼﻃﺔ‬ ‫ﺟﻮﺍﺋﺰ ﳐﻔﻴﺔ‬

‫ﺍ‪‬ﺎﺯﺍﺕ ﺍﻟﺪﺍﺧﻠﻴﺔ‬

‫ﺃﻭ ﲰﻜﻬﺎ ﺃﻗﻞ‬ ‫ﻣﻦ ﺿﻌﻒ‬ ‫ﲰﻚ ﺍﻟﺒﻼﻃﺔ‬

‫ﺍ‪‬ﺎﺯﺍﺕ ﺍﻟﻄﺮﻓﻴﺔ‬

‫ﺩﻭﻥ ﺳﻘﻮﻁ‬

‫ﻣﻊ ﺳﻘﻮﻁ‬

‫ﺩﻭﻥ ﺳﻘﻮﻁ‬

‫ﻣﻊ ﺳﻘﻮﻁ‬

‫‪L / 27‬‬

‫‪L / 30‬‬

‫‪L / 24‬‬

‫‪L / 27‬‬

‫ﺗﺘﺮﺍﻭﺡ ﺍ‪‬ﺎﺯﺍﺕ ﺍﻟﻌﻤﻠﻴﺔ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ ﺑﲔ ) ‪ ( 4‬ﻭ ) ‪ ( 7‬ﺃﻣﺘﺎﺭ ﻭﲰﻜﻬﺎ ﻳﺘﻌﻠﻖ ﺑﺎﻹﺿﺎﻓﺔ ﺇﱃ‬ ‫ﺃﻃﻮﺍﻝ ﳎﺎﺯﺍ‪‬ﺎ ﻭﺷﺮﻭﻁ ﺍﺳﺘﻨﺎﺩﻫﺎ ﻭﺍﺳﺘﻤﺮﺍﺭﻫﺎ ﻛﻤﺎ ﺫﻛﺮ ﺳﺎﺑﻘﺎﹰ ﺑﺎﳊﻤﻮﻻﺕ ﺍﳌﻄﺒﻘﺔ ﻋﻠﻴﻬﺎ ﻟﺘﺤﻘﻴـﻖ ﺍﳌﺘﺎﻧـﺔ ﺍﻟﻼﺯﻣـﺔ ‪،‬‬ ‫ﻭﺗﺘﺮﺍﻭﺡ ﻫﺬﻩ ﺍﻟﺴﻤﺎﻛﺔ ﺑﲔ ‪ 80 mm‬ﻭ ‪. 160 mm‬‬ ‫ﻛﻤﺎ ﳛﺪﺩ ﺍﻟﺴﻤﻚ ﺍﻷﺩﱏ ) ‪ ( h‬ﻟﻠﺠﻮﺍﺋﺰ ﺗﺒﻌﺎﹰ ﻟﻄﺒﻴﻌﺔ ﺍﺳﺘﻨﺎﺩﻫﺎ ﻭﺍﺳﺘﻤﺮﺍﺭﻫﺎ ﻭ ﻟﻘﻴﻤﺔ ﳎﺎﺯﺍ‪‬ﺎ ﺍﻟﻔﻌﺎﻟﺔ ) ‪ , ( L‬ﲟﺎ ﻻ‬ ‫ﻳﻘﻞ ﻋﻦ ﺍﻟﻨﺴﺐ ﺍﻟﻮﺍﺭﺩﺓ ﰲ ﺍﳉﺪﻭﻝ ) ‪ , ( 2-3‬ﺇﻻ ﺇﺫﺍ ﰎﹼ ﺣﺴﺎﺏ ﺍﻟﺴﻬﻢ ﻭﺍﻟﺘﺄﻛﺪ ﻣﻦ ﻋﺪﻡ ﲡﺎﻭﺯﻩ ﻟﻠﻘﻴﻢ ﺍﳌﺴﻤﻮﺡ ‪‬ـﺎ‬ ‫ﻭﺍﻟﱵ ﻳﻌﻄﻴﻬﺎ ﺍﻟﻜﻮﺩ ﺍﻟﻌﺮﰊ ﺍﻟﺴﻮﺭﻱ ﰲ ﺍﻟﺒﻨﺪ ) ‪. ( 5-10‬‬ ‫ﺍﳉﺪﻭﻝ ) ‪ ( 2-3‬ﺍﻟﺴﻤﻚ ﺍﻷﺩﱏ ﻟﻠﺠﻮﺍﺋﺰ‬ ‫ﺍﳌﻘﺎﻭﻣﺔ ﺍﳌﻤﻴﺰﺓ‬ ‫ﻧﻮﻉ ﺍﳉﺎﺋﺰ‬ ‫ﻟﻠﺒﻴﺘﻮﻥ‬ ‫) ‪( MPa‬‬

‫ﺍﻟﺴﻤﻚ‬ ‫ﺍﻷﺩﱏ‬ ‫)‪(h‬‬

‫ﻣﺘﺪﱄ‬ ‫ﳐﻔﻲ‬

‫‪f 'c < 20‬‬

‫ﻧﻮﻉ ﺍﺳﺘﻨﺎﺩ ﺍﳉﺎﺋﺰ‬ ‫ﻣﺴﺘﻤﺮ ﻣﻦ‬ ‫ﺑﺴﻴﻂ‬

‫ﻃﺮﻑ‬ ‫ﻭﺍﺣﺪ‬

‫‪L / 12‬‬

‫‪L / 13‬‬

‫ﻣﺴﺘﻤﺮ ﻣﻦ‬ ‫ﻃﺮﻓﲔ‬

‫ﻇﻔﺮ‬

‫‪L / 14‬‬

‫‪L/6‬‬

‫‪f 'c ≥ 20‬‬

‫‪L / 14‬‬

‫‪L / 15‬‬

‫‪L / 16‬‬

‫‪L/6‬‬

‫‪f 'c < 20‬‬

‫‪L / 14‬‬

‫‪L / 16‬‬

‫‪L / 18‬‬

‫‪L/8‬‬

‫‪f 'c ≥ 20‬‬

‫‪L / 16‬‬

‫‪L / 18‬‬

‫‪L / 120‬‬

‫‪L/8‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪53‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫‪ 4-3‬ﺍﳊﻤﻮﻻﺕ ﺍﳌﺆﺛﺮﺓ ﻋﻠﻰ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ ‪:‬‬ ‫‪ 1-4-3‬ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ ‪:‬‬ ‫ﻳﺘﻢ ﺗﻘﺪﻳﺮ ﻭﺣﺴﺎﺏ ﺍﻷﲪﺎﻝ ﺍﻟﺪﺍﺋﻤﺔ ) ﺍﻟﻮﺯﻥ ﺍﻟﺬﺍﰐ ‪ ،‬ﺍﻟﺘﻐﻄﻴﺔ ‪ ،‬ﺍﳉﺪﺭﺍﻥ ﻭﺍﻟﻘﻮﺍﻃﻊ ﺍﳋﻔﻴﻔﺔ ( ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑـﻊ‬ ‫ﺍﻟﻮﺍﺣﺪ ﻣﻦ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ ﺑﻨﻔﺲ ﺍﻷﺳﻠﻮﺏ ﺍﳌﺘﺒﻊ ﰲ ﺍﻟﺒﻨﺪ ) ‪ ( 1-3-2‬ﺍﳋﺎﺻﺔ ﺑﺎﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ‬ ‫ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ‪.‬‬ ‫ﺃﻣﺎ ﺍﳊﻤﻞ ﺍﳌﻜﺎﻓﺊ ﻟﻠﺠﺪﺭﺍﻥ ﺍﻟﺜﻘﻴﻠﺔ ﻋﻠﻰ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ ﻓﻴﺘﻢ ﲢﺪﻳﺪﻩ ﲝﺴﺎﺏ ﺃﻭﺯﺍﻥ ﲨﻴﻊ‬ ‫ﺍﳉﺪﺭﺍﻥ ﺍﳌﺘﻮﺿ‪‬ﻌﺔ ﻋﻠﻰ ﺍﻟﺒﻼﻃﺔ ﻣﻊ ﺃﻭﺯﺍﻥ ﺍﻷﲪﺎﻝ ﺍﳌﻴﺘﺔ ﺍﳌﻄﺒﻘﺔ ﺃﻭ ﺍﳌﻌﻠﻘﺔ ﻋﻠﻰ ﻫﺬﻩ ﺍﳉﺪﺭﺍﻥ ﻭﻣﻦ ﰒ ﺗﺼﻌﻴﺪﻫﺎ ﲟﻌﺎﻣـﻞ‬ ‫ﺗﻜﺒﲑ ﻣﻘﺪﺍﺭﻩ ‪ 1,5‬ﻭﺗﻘﺴﻴﻢ ﺍﻟﻨﺎﺗﺞ ﻋﻠﻰ ﻣﺴﺎﺣﺔ ﺍﻟﺒﻼﻃﺔ ﺍﶈﺼﻮﺭﺓ ﺑﲔ ﺧﻄﻮﻁ ﺍﻻﺳﺘﻨﺎﺩ ‪.‬‬ ‫‪ 2-4-3‬ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ‪:‬‬ ‫ﺗﻘﺪﺭ ﻭﲢﺴﺐ ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ﻛﻤﺎ ﻫﻮ ﻭﺍﺭﺩ ﰲ ﺍﻟﺒﻨﺪ‬ ‫ﺍﻟﻮﺍﺣﺪ ‪.‬‬

‫) ‪2-3-2‬‬

‫( ﺍﳋﺎﺻﺔ ﺑﺎﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡـﺎﻩ‬

‫‪ 5-3‬ﺣﺴﺎﺏ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ ‪:‬‬ ‫ﳚﺮﻱ ﺣﺴﺎﺏ ﺍﻟﺒﻼﻃﺎﺕ ﻋﻠﻰ ﻣﺮﺣﻠﺘﲔ ‪:‬‬ ‫ﺍﻷﻭﱃ – ﻭﻫﻲ ﻣﺮﺣﻠﺔ ﺍﻟﺘﺤﻠﻴﻞ ﺣﻴﺚ ﻳﺘﻢ ﺣﺴﺎﺏ ﺍﻟﻘﻮﻯ ﰲ ﺍﳌﻘﺎﻃﻊ ﻭﲞﺎﺻﺔ ﻋﺰﻭﻡ ﺍﻻﻧﻌﻄﺎﻑ ) ‪ ( M‬ﺃﻭ‬ ‫( ﰲ ﺍﳌﻘﺎﻃﻊ ﺍﳊﺴﺎﺑﻴﺔ ﺣﺴﺐ ﺍﳊﺎﻟﺔ ﻭﻓﻖ ﺍﳊﻤﻮﻻﺕ ﺍﳋﺎﺭﺟﻴﺔ ﺍﳌﻌﻄﺎﺓ ‪.‬‬

‫) ‪Mu‬‬

‫ﺍﻟﺜﺎﻧﻴﺔ – ﻭﻫﻲ ﻣﺮﺣﻠﺔ ﺣﺴﺎﺏ ﻣﻘﺎﻃﻊ ﺣﺪﻳﺪ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻔﻌﺎﻝ )‪ , (As‬ﺍﻟﻼﺯﻡ ﻟﻴﻐﻄﻲ ﺍﻟﻘﻮﻯ ﺍﳌﻄﺒﻘﺔ ﰲ ﺍﳌﻘﺎﻃﻊ ‪.‬‬ ‫ﻳﺘﻢ ﲢﻠﻴﻞ ﻭﺗﺼﻤﻴﻢ ﻣﻘﺎﻃﻊ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ ﻋﻠﻰ ﺃﺳﺎﺱ ﺷﺮﺍﺋﺢ ﺑﻌﺮﺽ ﻭﺣـﺪﺓ ﺍﻟﻄـﻮﻝ ‪ ,‬ﰲ‬ ‫ﺍﲡﺎﻫﻲ ﻋﻤﻞ ﺍﻟﺒﻼﻃﺔ ﻛﻤﺎ ﻫﻮ ﻣﺒﲔ ﰲ ﺍﻟﺸﻜﻞ ) ‪. ( 3-3‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪54‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬ ‫‪W1‬‬

‫‪m‬‬ ‫‪1‬‬

‫‪L1‬‬

‫‪1‬‬

‫‪D‬‬

‫‪M2‬‬

‫‪M1‬‬ ‫‪L2‬‬

‫‪W2‬‬ ‫‪D2‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 3-3‬ﺷﺮﺍﺋﺢ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫‪ 1-5-3‬ﲢﻠﻴﻞ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ ‪:‬‬ ‫ﻧﻈﺮﺍﹰ ﻟﻌﻤﻞ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺑﺎﲡﺎﻫﲔ ﻓﺈﻧﻪ ﻳﺘﻮﺟﺐ ﺩﺭﺍﺳﺔ ﻫﺬﻩ ﺍﻟﺒﻼﻃﺎﺕ ﺑﺎﻻﲡﺎﻫﲔ ﻭﺑﺎﻟﺘـﺎﱄ ﳝﺘﻠـﻚ ﻋـﺰﻡ‬ ‫ﺍﻻﻧﻌﻄﺎﻑ ﺑﺎﻻﲡﺎﻫﲔ ﻗﻴﻤﺎﹰ ﺣﺴﺎﺑﻴﺔ ﻭﻳﺘﻢ ﺗﺴﻠﻴﺢ ﺍﻟﺒﻼﻃﺎﺕ ﺑﺎﻻﲡﺎﻫﲔ ﺑﺘﺴﻠﻴﺢ ﺣﺴﺎﰊ ‪.‬‬ ‫ﻭﰲ ﺣﺎﻟﺔ ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﻻﺳﺘﻨﺎﺩ ﺍﻟﺒﺴﻴﻂ ﻣﻦ ﺍﻷﻃﺮﺍﻑ ﺍﻷﺭﺑﻌﺔ ﻳﺘﺤﻤﻞ ﺍﻻﲡﺎﻩ ﺍﻟﻘﺼـﲑ ‪ L1‬ﺍﻟﻌـﺰﻡ ﺍﻷﻛـﱪ‬ ‫ﻭﺍﻟﺘﺴﻠﻴﺢ ﺍﻷﻛﱪ ﺑﺎﳌﻘﺎﺭﻧﺔ ﻣﻊ ﺍﻻﲡﺎﻩ ﺍﻟﻄﻮﻳﻞ‪ ,‬ﻭﻳﺘﻢ ﺗﺴﻠﻴﺢ ﻫﺬﻩ ﺍﻟﺒﻼﻃﺎﺕ ﺑﺎﺳﺘﺨﺪﺍﻡ ﺷﺒﻜﺔ ﺗﺴﻠﻴﺢ ﻣﺘﻌﺎﻣﺪﺓ ﺑﺎﻻﲡﺎﻫﲔ ‪.‬‬ ‫ﺃﻇﻬﺮﺕ ﲡﺎﺭﺏ ﺍﺧﺘﺒﺎﺭ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ ﻧﺘﺎﺋﺞ ﻋﺪﻳﺪﺓ ﻧﺬﻛﺮ ﻣﻦ ﺃﳘﻬﺎ ‪:‬‬ ‫•‬

‫ﲢﺎﻭﻝ ﺯﻭﺍﻳﺎ ﺍﻟﺒﻼﻃﺎﺕ ﺍﻻﺭﺗﻔﺎﻉ ﻋﻦ ﺍﳌﺴﺎﻧﺪ ﻋﻨﺪ ﺧﻀﻮﻋﻬﺎ ﻟﻠﺤﻤﻮﻻﺕ ﳑﺎ ﳚﻌﻞ ﺭﺩ ﻓﻌﻞ ﺍﻟﺒﻼﻃﺔ ﺃﻋﻈﻤﻴـﺎﹰ‬ ‫ﰲ ﻣﻨﺘﺼﻒ ﳏﻴﻂ ﺍﻟﻌﻨﺎﺻﺮ ﺍﳊﺎﻣﻠﺔ ﻟﻠﺒﻼﻃﺔ ‪.‬‬

‫•‬

‫ﻣﻊ ﺍﺯﺩﻳﺎﺩ ﺍﳊﻤﻮﻻﺕ ﺍﳌﻄﺒﻘﺔ ﻋﻠﻰ ﺍﻟﺒﻼﻃﺔ ﺗﻈﻬﺮ ﺗﺸﻘﻘﺎﺕ ﻗﻄﺮﻳﺔ ﰲ ﺃﺳﻔﻞ ﺍﻟﺒﻼﻃﺔ ﻭﺍﻟﺸﻜﻞ ) ‪ ( a-4-3‬ﳝﺜﻞ‬ ‫ﺍﻟﺸﻘﻮﻕ ﺍﻟﺴﻔﻠﻴﺔ ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺮﺑﻌﺔ ﺑﻴﻨﻤﺎ ﺍﻟﺸﻜﻞ ) ‪ ( b-4-3‬ﳝﺜﻞ ﺍﻟﺸﻘﻮﻕ ﺍﻟﺴﻔﻠﻴﺔ ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻄﻴﻠﺔ‪.‬‬

‫)‪(a‬‬

‫ﺑﻼﻃﺔ ﻣﺮﺑﻌﺔ‬

‫)‪(b‬‬

‫ﺑﻼﻃﺔ ﻣﺴﺘﻄﻴﻠﺔ‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 4-3‬ﻣﻨﻈﺮ ﺍﻟﺸﻘﻮﻕ ﰲ ﺍﻟﻮﺟﻪ ﺍﻟﺴﻔﻠﻲ ﻟﻠﺒﻼﻃﺔ‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪55‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫•‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫ﻣﻊ ﺗﺰﺍﻳﺪ ﺍﳊﻤﻮﻻﺕ ﺍﳌﻄﺒﻘﺔ ﻋﻠﻰ ﺍﻟﺒﻼﻃﺔ ﻭﺍﻗﺘﺮﺍ‪‬ﺎ ﻣﻦ ﲪﻮﻻﺕ ﺍﻻﻧﻜﺴﺎﺭ ﺗﻈﻬﺮ ﺍﻟﺘﺸﻘﻘﺎﺕ ﻋﻠـﻰ ﺍﻟﻮﺟـﻪ‬ ‫ﺍﻟﻌﻠﻮﻱ ﻣﺘﻌﺎﻣﺪﺓﹰ ﻣﻊ ﺍﻟﺘﺸﻘﻘﺎﺕ ﺍﻟﻘﻄﺮﻳﺔ ﻭﺍﻟﱵ ﻳﻮﺿﺤﻬﺎ ﺍﻟﺸﻜﻞ ) ‪. ( 5-3‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 5-3‬ﻣﻨﻈﺮ ﺍﻟﺸﻘﻮﻕ ﰲ ﺍﻟﻮﺟﻪ ﺍﻟﻌﻠﻮﻱ ﻟﻠﺒﻼﻃﺔ‬

‫ﺗ‪‬ﺤﺴﺐ ﻋﺰﻭﻡ ﺍﻻﻧﻌﻄﺎﻑ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ ﺑﻄﺮﺍﺋﻖ ﻋﺪﺓ ﻣﻨﻬﺎ ﻃﺮﻳﻘﺔ ﺧﻄﻮﻁ ﺍﻻﻧﻜﺴﺎﺭ ‪ ،‬ﻃﺮﻳﻘـﺔ‬ ‫ﺍﻟﺸﺮﺍﺋﺢ ‪ ،‬ﻃﺮﻳﻘﺔ ﺍﳉﺪﺍﻭﻝ ‪ ،‬ﺍﻟﻄﺮﻳﻘﺔ ﺍﳌﺒﺴﻄﺔ ‪.‬‬ ‫ﻭﺳﻴﺘﻢ ﰲ ﺇﻃﺎﺭ ﻫﺬﺍ ﺍﳌﻨﻬﺎﺝ ﺍﻻﻛﺘﻔﺎﺀ ﺑﻌﺮﺽ ﻃﺮﻳﻘﺔ ﺍﻟﺸﺮﺍﺋﺢ ﻭﻃﺮﻳﻘﺔ ﺍﳉﺪﺍﻭﻝ‪.‬‬ ‫ﲢﻠﻴﻞ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ ﺑﻄﺮﻳﻘﺔ ﺍﻟﺸﺮﺍﺋﺢ ‪:‬‬ ‫ﺃ‪ -‬ﺗﻘﺘﺼﺮ ﺻﻼﺣﻴﺔ ﻫﺬﻩ ﺍﻟﻄﺮﻳﻘﺔ ﻋﻠﻰ ﺑﻼﻃﺎﺕ ﺍﳌﺒﺎﱐ ﺍﻟﻌﺎﺩﻳﺔ ﺍﻟﱵ ﻻ ﺗﺘﺠﺎﻭﺯ ﺍﻷﲪﺎﻝ ﺍﳊﻴ‪‬ﺔ ﻋﻠﻴﻬﺎ ﺍﻟﻘﻴﻤﺔ‬ ‫ﻋﻠﻰ ﺃﻧﻪ ﳝﻜﻦ ﺍﺳﺘﻌﻤﺎﳍﺎ ﳊﺎﻟﺔ ﺃﲪﺎﻝ ﺣﻴ‪‬ﺔ ﺃﻛﱪ ‪ ,‬ﺷﺮﻳﻄﺔ ﻣﺮﺍﻋﺎﺓ ﺍﺣﺘﻤﺎﻝ ﺗﻐﲑ ﺇﺷﺎﺭﺓ ﺍﻟﻌﺰﻡ ﰲ ﻭﺳﻂ ﺍ‪‬ﺎﺯ ﻭﻋﻨﺪ‬ ‫ﺍﳌﺴﻨﺪ ) ﻧﺸﻮﺀ ﻋﺰﻡ ﺳﺎﻟﺐ ﰲ ﻭﺳﻂ ﺍ‪‬ﺎﺯ ﻭﻋﺰﻡ ﻣﻮﺟﺐ ﻋﻨﺪ ﺍﳌﺴﻨﺪ ( ‪.‬‬ ‫‪5 KN/m2‬‬

‫ﺏ‪ -‬ﻓﻴﻤﺎ ﻋﺪﺍ ﺫﻟﻚ ‪ ,‬ﻣﺜﻞ ﺑﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﺩﻋﺎﺕ ﻭﺍﳋﺰﺍﻧﺎﺕ ﻭﺍﳉﺴﻮﺭ ‪...‬ﺇﱁ ‪ ,‬ﺗ‪‬ﺼﻤﻢ ﻃﺒﻘﺎﹰ ﻟﻼﺷﺘﺮﺍﻃﺎﺕ ﺍﳋﺎﺻﺔ ‪‬ﺎ ‪.‬‬ ‫ﺝ‪ -‬ﺗﻨﻄﺒﻖ ﻫﺬﻩ ﺍﻟﻄﺮﻳﻘﺔ ﻋﻠﻰ ﺍﻟﺒﻼﻃﺎﺕ ﺍﻟﱵ ﺗﺴﺘﻨﺪ ﻋﻠﻰ ﺟﻮﺍﺋﺰ ﳏﻴﻄﻴﺔ ﺫﺍﺕ ﻋﻤﻖ ﻻ ﻳﻘﻞ ﻋﻦ ﺿﻌﻒ ﲰﻚ ﺍﻟﺒﻼﻃـﺔ‬ ‫ﻭﻣﺼﺒﻮﺑﺔ ﺍﺳﺘﻤﺮﺍﺭﻳﺎﹰ ﻣﻊ ﺍﻟﺒﻼﻃﺔ ‪ ،‬ﻛﻤﺎ ﻳﺘﻮﺟﺐ ﺗﻨﻔﻴﺬ ﺗﺮﺗﻴﺒﺎﺕ ﺗﺴﻠﻴﺢ ﻣﻌﻴﻨﺔ ﰲ ﺍﻟﺒﻼﻃﺔ ﳌﻘﺎﻭﻣﺔ ﺍﻟﻔﺘﻞ ﺃﻭ ﺍﺭﺗﻔﺎﻉ‬ ‫ﺍﻟﺰﻭﺍﻳﺎ ﻭﺗﻌﺪ‪ ‬ﻣﺜﻞ ﻫﺬﻩ ﺍﻷﻣﻮﺭ ﳏﻘﻘﺔ ﰲ ﺣﺎﻝ ﻭﺟﻮﺩ ﺗﺴﻠﻴﺢ ﻋﻠﻮﻱ ﺇﻧﺸﺎﺋﻲ ﻋﻨﺪ ﺍﳌﺴﺎﻧﺪ ‪.‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪56‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺩ‪ -‬ﲢﺴﺐ ﻋﺰﻭﻡ ﺍﻻﻧﻌﻄﺎﻑ ﻟﺸﺮﺍﺋﺢ ﻣﺘﺮﻳﺔ ﺑﺎﻻﲡﺎﻫﲔ ﻭﻳﻄﺒﻖ ﻋﻠﻰ ﻛﻞ ﺍﲡﺎﻩ ﺫﺍﺕ ﺍﻟﻘﻮﺍﻋﺪ ﺍﳌﺬﻛﻮﺭﺓ ﰲ ﺍﻟﺒﻨﺪ‬ ‫) ﺍﳋﺎﺻﺔ ﺑﺎﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ﻋﻠﻰ ﺃﻥ ﺗﻮﺯﻉ ﺍﻷﲪﺎﻝ ﺍﻟﻜﻠﻴﺔ ﺍﳌﻄﺒﻘﺔ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ ﺍﻟﻮﺍﺣﺪ‬ ‫ﻣﻦ ﺍﻟﺒﻼﻃﺔ ﺑﺎﻻﲡﺎﻫﲔ ﻋﻠﻰ ﺍﻟﻨﺤﻮ ﺍﻟﺘﺎﱄ ‪:‬‬ ‫‪( 1-4-2‬‬

‫ ﺍﳊﻤﻞ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻄﻮﻳﻞ‬‫‪w 1 = α1 .w‬‬

‫)‪(3-1‬‬

‫ ﺍﳊﻤﻞ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻘﺼﲑ‬‫‪w 2 = α 2 .w‬‬

‫)‪(3-2‬‬

‫ﺃﻣﺎ ﺍﻟﻌﻮﺍﻣﻞ‬

‫‪α1 ; α 2‬‬

‫ﻓﺘﺆﺧﺬ ﻣﻦ ﺍﳉﺪﻭﻝ ) ‪. ( 3-3‬‬ ‫ﺍﳉﺪﻭﻝ ) ‪ ( 3-3‬ﻣﻌﺎﻣﻼﺕ ﺗﻮﺯﻳﻊ ﺍﻷﲪﺎﻝ ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬ ‫ﳊﺴﺎﺏ ﺍﻟﻌﺰﻭﻡ ﺑﻄﺮﻳﻘﺔ ﺍﻟﺸﺮﺍﺋﺢ‬

‫ﻧﺴﺒﺔ ﺍﻻﺳﺘﻄﺎﻟﺔ‬

‫‪α2‬‬

‫‪α1‬‬

‫‪0,19‬‬

‫‪0,52‬‬

‫‪0,76‬‬

‫‪0,2‬‬

‫‪0,48‬‬

‫‪0,8‬‬

‫‪0,27‬‬

‫‪0,4‬‬

‫‪0,9‬‬

‫‪0,33‬‬

‫‪0,33‬‬

‫‪1,0‬‬

‫‪0,39‬‬

‫‪0,28‬‬

‫‪1,1‬‬

‫‪0,45‬‬

‫‪0,23‬‬

‫‪1,2‬‬

‫‪0,51‬‬

‫‪0,19‬‬

‫‪1,3‬‬

‫‪0,57‬‬

‫‪0,16‬‬

‫‪1,4‬‬

‫‪0,61‬‬

‫‪0,14‬‬

‫‪1,5‬‬

‫‪0,66‬‬

‫‪0,12‬‬

‫‪1,6‬‬

‫‪0,79‬‬

‫‪0,08‬‬

‫‪1,8‬‬

‫‪0,89‬‬

‫‪0,06‬‬

‫‪2,0‬‬

‫‪1,0‬‬

‫‪0,00‬‬

‫)‪(r‬‬

‫∞‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪57‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫ﲢﻠﻴﻞ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ ﺑﻄﺮﻳﻘﺔ ﺍﳉﺪﺍﻭﻝ ‪:‬‬ ‫ﺃ‪ -‬ﻳﺴﺘﻨﺪ ﺣﺴﺎﺏ ﺍﻟﺒﻼﻃﺎﺕ ﺑﻄﺮﻳﻘﺔ ﺍﳉﺪﺍﻭﻝ ﻋﻠﻰ ﻧﻈﺮﻳﺎﺕ ﺍﳌﺮﻭﻧﺔ ﺑﺸﺮﻁ ﺃﻥ ﺗﺘﻮﺍﻓﺮ ﺍﳌﺴﺘﻠﺰﻣﺎﺕ ﺍﻟﻜﺎﻓﻴﺔ ﻟﻀـﻤﺎﻥ‬ ‫ﻭﺿﻊ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳌﻘﺎﻭﻡ ﻟﻌﺰﻭﻡ ﺍﻻﻧﻌﻄﺎﻑ ﺍﻟﺴﺎﻟﺒﺔ ﰲ ﻣﻜﺎﻧﻪ ﺍﻟﺼﺤﻴﺢ ﺃﺛﻨﺎﺀ ﺍﻟﺼﺐ ‪.‬‬ ‫ﺏ‪ -‬ﺗﻘﺘﺼﺮ ﺻﻼﺣﻴﺔ ﻫﺬﻩ ﺍﳉﺪﺍﻭﻝ ﻋﻠﻰ ﺑﻼﻃﺎﺕ ﺍﳌﺒﺎﱐ ﺍﻟﻌﺎﺩﻳﺔ ﺍﻟﱵ ﻻ ﺗﺘﺠﺎﻭﺯ ﺍﻷﲪﺎﻝ ﺍﳊﻴ‪‬ﺔ ﻋﻠﻴﻬﺎ ﺍﻟﻘﻴﻤﺔ‬ ‫ﻋﻠﻰ ﺃﻧﻪ ﳝﻜﻦ ﺍﺳﺘﻌﻤﺎﳍﺎ ﳊﺎﻟﺔ ﺃﲪﺎﻝ ﺣﻴ‪‬ﺔ ﺃﻛﱪ ‪ ,‬ﺷﺮﻳﻄﺔ ﻣﺮﺍﻋﺎﺓ ﺍﺣﺘﻤﺎﻝ ﺗﻐﲑ ﺇﺷﺎﺭﺓ ﺍﻟﻌﺰﻡ ﰲ ﻭﺳﻂ ﺍ‪‬ﺎﺯ ﻭﻋﻨﺪ‬ ‫ﺍﳌﺴﻨﺪ ) ﻧﺸﻮﺀ ﻋﺰﻡ ﺳﺎﻟﺐ ﰲ ﻭﺳﻂ ﺍ‪‬ﺎﺯ ﻭﻋﺰﻡ ﻣﻮﺟﺐ ﻋﻨﺪ ﺍﳌﺴﻨﺪ ( ‪.‬‬ ‫‪5 KN/m2‬‬

‫ﺝ‪ -‬ﻓﻴﻤﺎ ﻋﺪﺍ ﺫﻟﻚ ‪ ,‬ﻣﺜﻞ ﺑﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﺩﻋﺎﺕ ﻭﺍﳋﺰﺍﻧﺎﺕ ﻭﺍﳉﺴﻮﺭ ‪...‬ﺇﱁ ‪ ,‬ﺗ‪‬ﺼﻤﻢ ﻃﺒﻘﺎﹰ ﻟﻼﺷﺘﺮﺍﻃﺎﺕ ﺍﳋﺎﺻﺔ ‪‬ﺎ ‪.‬‬ ‫ﺩ‪ -‬ﺗﻨﻄﺒﻖ ﺍﳉﺪﺍﻭﻝ ﻋﻠﻰ ﺍﻟﺒﻼﻃﺎﺕ ﺍﻟﱵ ﻟﻴﺲ ﻓﻴﻬﺎ ﺗﺮﺗﻴﺒﺎﺕ ﳌﻘﺎﻭﻣﺔ ﺍﻟﻔﺘﻞ ﺃﻭ ﺍﺭﺗﻔﺎﻉ ﺍﻟﺰﻭﺍﻳﺎ ‪.‬‬ ‫ﻫـ ‪ -‬ﺗﺴﺘﻌﻤﻞ ﺍﳉﺪﺍﻭﻝ ﻋﻠﻰ ﺍﻟﻨﺤﻮ ﺍﻟﺘﺎﱄ ﻭﻟﻜﻞ ﺑﻼﻃﺔ ﻣﻦ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺘﺠﺎﻭﺭﺓ ‪:‬‬ ‫§‬

‫ﻳﺴﺘﻌﻤﻞ ﺍﳉﺪﻭﻝ )‪ (4-3‬ﳊﺴﺎﺏ ﺍﻟﻌﺰﻭﻡ ﺍﻟﺴﺎﻟﺒﺔ ﻟﻠﺒﻼﻃﺎﺕ ﻓﻮﻕ ﺍﳌﺴﺎﻧﺪ‪.‬‬

‫§‬

‫ﻳﺴﺘﻌﻤﻞ ﺍﳉﺪﻭﻝ )‪ (5-3‬ﳊﺴﺎﺏ ﺍﻟﻌﺰﻭﻡ ﺍﳌﻮﺟﺒﺔ ﰲ ﳎﺎﺯﺍﺕ ﺍﻟﺒﻼﻃﺎﺕ ﲢﺖ ﺗﺄﺛﲑ ﺍﻷﲪﺎﻝ ﺍﻟﺪﺍﺋﻤﺔ ‪.‬‬

‫§‬

‫ﻳﺴﺘﻌﻤﻞ ﺍﳉﺪﻭﻝ )‪ (6-3‬ﳊﺴﺎﺏ ﺍﻟﻌﺰﻭﻡ ﺍﳌﻮﺟﺒﺔ ﰲ ﳎﺎﺯﺍﺕ ﺍﻟﺒﻼﻃﺎﺕ ﲢﺖ ﺗﺄﺛﲑ ﺍﻷﲪﺎﻝ ﺍﻹﺿﺎﻓﻴﺔ ‪.‬‬

‫§‬

‫ﻳﺴﺘﻌﻤﻞ ﺍﳉﺪﻭﻝ )‪ (7-3‬ﳊﺴﺎﺏ ﻗﻮﻯ ﺍﻟﻘﺺ ‪.‬‬

‫ﻳ‪‬ﻌﺘﻤﺪ ﺍﻻﺻﻄﻼﺡ ﺍﻟﺘﺎﱄ ﶈﻴﻂ ﺍﻟﺒﻼﻃﺔ ‪:‬‬ ‫ﻃﺮﻑ ﻣﺴﺘﻤﺮ‬ ‫ﺍﺳﺘﻨﺎﺩ ﺑﺴﻴﻂ‬

‫ﻭﻳﻔﻀﻞ ﰲ ﻫﺬﻩ ﺍﻟﻄﺮﻳﻘﺔ ﲣﻔﻴﺾ ﺍﻟﻌﺰﻭﻡ ﺍﻟﺴﺎﻟﺒﺔ ﲝﺪﻭﺩ ‪ , 20 %‬ﻭﺯﻳﺎﺩﺓ ﺍﻟﻌﺰﻭﻡ ﺍﳌﻮﺟﺒﺔ ﲟﺎ ﻳﺘﻮﺍﻓﻖ ﻣﻊ ﺫﻟﻚ ‪.‬‬ ‫ﻳ‪‬ﻌﺘﻤﺪ ﺍﻟﻌﺰﻡ ﺍﻟﺘﺼﻤﻴﻤﻲ ﻋﻨﺪ ﻣﺴﺎﻧﺪ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺘﺠﺎﻭﺭﺓ ﻣﺴﺎﻭﻳﺎﹰ ﻟﻮﺳﻄﻲ ﺍﻟﻌﺰﻣﲔ ﺍﻟﺴﺎﻟﺒﲔ ﻟﻠﺒﻼﻃﺘﲔ ﺍﳌﺘﺠﺎﻭﺭﺗﲔ‬ ‫ﻋﻨﺪ ﺫﻟﻚ ﺍﳌﺴﻨﺪ ‪.‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪58‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( 4-3‬ﺍﳌﻌﺎﻣﻼﺕ ﺍﳌﻌﺘﻤﺪﺓ ﰲ ﺣﺴﺎﺏ ﺍﻟﻌﺰﻭﻡ ﺍﻟﺴﺎﻟﺒﺔ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬ ‫ﺣﺎﻟﺔ ‪9‬‬

‫ﺣﺎﻟﺔ ‪8‬‬

‫‪0,061‬‬

‫‪0,033‬‬

‫‪0,033‬‬

‫‪0,061‬‬

‫‪0,065‬‬

‫‪0,038‬‬

‫‪0,029‬‬

‫‪0,056‬‬

‫‪0,068‬‬

‫‪0,043‬‬

‫‪0,025‬‬

‫‪0,052‬‬

‫‪0,072‬‬

‫‪0,049‬‬

‫‪0,021‬‬

‫‪0,046‬‬

‫ﺣﺎﻟﺔ ‪7‬‬

‫ﺣﺎﻟﺔ ‪6‬‬

‫ﺣﺎﻟﺔ ‪5‬‬

‫ﺣﺎﻟﺔ ‪4‬‬

‫‪0,071‬‬

‫‪0,075‬‬

‫‪0,05‬‬

‫ﺣﺎﻟﺔ ‪3‬‬

‫ﺣﺎﻟﺔ ‪2‬‬

‫ﻧﺴﺒﺔ‬

‫ﺣﺎﻟﺔ ‪1‬‬ ‫اﻟﻤﻌﺎﻣﻞ‬

‫‪a‬‬ ‫‪b‬‬

‫‪a‬‬ ‫‪b‬‬

‫‪0,05‬‬

‫‪0,071‬‬ ‫‪0,075‬‬

‫‪0,079‬‬

‫‪0,067‬‬ ‫‪0,079‬‬ ‫‪0,062‬‬ ‫‪0,082‬‬

‫‪0,072‬‬

‫‪0,060‬‬ ‫‪0,040‬‬

‫‪0,083‬‬ ‫‪0,057‬‬

‫‪0,055‬‬ ‫‪0,045‬‬

‫‪0,080‬‬

‫‪0,076‬‬

‫‪0,070‬‬

‫‪0,066‬‬ ‫‪0,034‬‬

‫‪0,065‬‬

‫‪0,045‬‬

‫‪A‬‬

‫‪α‬‬

‫‪0,045‬‬

‫‪B‬‬

‫‪α‬‬

‫‪0,050‬‬

‫‪A‬‬

‫‪α‬‬

‫‪0,041‬‬

‫‪B‬‬

‫‪α‬‬

‫‪0,055‬‬

‫‪A‬‬

‫‪α‬‬

‫‪0,037‬‬

‫‪B‬‬

‫‪α‬‬

‫‪0,060‬‬

‫‪A‬‬

‫‪α‬‬

‫‪0,031‬‬

‫‪B‬‬

‫‪α‬‬

‫‪1,00‬‬

‫‪0,95‬‬

‫‪0,90‬‬

‫‪0,85‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬

‫‪59‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( 4-3‬ﺍﳌﻌﺎﻣﻼﺕ ﺍﳌﻌﺘﻤﺪﺓ ﰲ ﺣﺴﺎﺏ ﺍﻟﻌﺰﻭﻡ ﺍﻟﺴﺎﻟﺒﺔ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬ ‫ﺣﺎﻟﺔ ‪9‬‬

‫ﺣﺎﻟﺔ ‪8‬‬

‫‪0,075‬‬

‫‪0,055‬‬

‫‪0,017‬‬

‫‪0,041‬‬

‫‪0,078‬‬

‫‪0,061‬‬

‫‪0,014‬‬

‫‪0,036‬‬

‫‪0,081‬‬

‫‪0,068‬‬

‫‪0,011‬‬

‫‪0,029‬‬

‫‪0,083‬‬

‫‪0,074‬‬

‫‪0,008‬‬

‫‪0,023‬‬

‫ﺣﺎﻟﺔ ‪7‬‬

‫ﺣﺎﻟﺔ ‪6‬‬

‫ﺣﺎﻟﺔ ‪5‬‬

‫ﺣﺎﻟﺔ ‪4‬‬

‫‪0,086‬‬

‫‪0,083‬‬

‫‪0,071‬‬

‫ﺣﺎﻟﺔ ‪3‬‬

‫ﺣﺎﻟﺔ ‪2‬‬

‫ﻧﺴﺒﺔ‬

‫ﺣﺎﻟﺔ ‪1‬‬ ‫اﻟﻤﻌﺎﻣﻞ‬

‫‪a‬‬ ‫‪b‬‬

‫‪a‬‬ ‫‪b‬‬

‫‪0,029‬‬

‫‪0,051‬‬ ‫‪0,088‬‬

‫‪0,085‬‬

‫‪0,044‬‬ ‫‪0,091‬‬ ‫‪0,038‬‬ ‫‪0,087‬‬

‫‪0,056‬‬

‫‪0,081‬‬ ‫‪0,019‬‬

‫‪0,093‬‬ ‫‪0,031‬‬

‫‪0,076‬‬ ‫‪0,024‬‬

‫‪0,086‬‬

‫‪0,061‬‬

‫‪0,050‬‬

‫‪0,085‬‬ ‫‪0,015‬‬

‫‪0,043‬‬

‫‪0,065‬‬

‫‪A‬‬

‫‪α‬‬

‫‪0,027‬‬

‫‪B‬‬

‫‪α‬‬

‫‪0,069‬‬

‫‪A‬‬

‫‪α‬‬

‫‪0,022‬‬

‫‪B‬‬

‫‪α‬‬

‫‪0,074‬‬

‫‪A‬‬

‫‪α‬‬

‫‪0,017‬‬

‫‪B‬‬

‫‪α‬‬

‫‪0,077‬‬

‫‪A‬‬

‫‪α‬‬

‫‪0,014‬‬

‫‪B‬‬

‫‪α‬‬

‫‪0,8‬‬

‫‪0,75‬‬

‫‪0,70‬‬

‫‪0,65‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬

‫‪60‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( 4-3‬ﺍﳌﻌﺎﻣﻼﺕ ﺍﳌﻌﺘﻤﺪﺓ ﰲ ﺣﺴﺎﺏ ﺍﻟﻌﺰﻭﻡ ﺍﻟﺴﺎﻟﺒﺔ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬ ‫ﺣﺎﻟﺔ ‪9‬‬

‫ﺣﺎﻟﺔ ‪8‬‬

‫‪0,085‬‬

‫‪0,080‬‬

‫‪0,006‬‬

‫‪0,018‬‬

‫‪0,086‬‬

‫‪0,085‬‬

‫‪0,005‬‬

‫‪0,014‬‬

‫‪0,088‬‬

‫‪0,089‬‬

‫‪0,003‬‬

‫‪0,010‬‬

‫ﺣﺎﻟﺔ ‪7‬‬

‫ﺣﺎﻟﺔ ‪6‬‬

‫ﺣﺎﻟﺔ ‪5‬‬

‫ﺣﺎﻟﺔ ‪4‬‬

‫‪0,095‬‬

‫‪0,088‬‬

‫‪0,089‬‬

‫ﺣﺎﻟﺔ ‪2‬‬

‫ﺣﺎﻟﺔ ‪3‬‬

‫ﻧﺴﺒﺔ‬

‫ﺣﺎﻟﺔ ‪1‬‬ ‫اﻟﻤﻌﺎﻣﻞ‬

‫‪a‬‬ ‫‪b‬‬

‫‪a‬‬ ‫‪b‬‬

‫‪0,011‬‬

‫‪0,024‬‬ ‫‪0,096‬‬

‫‪0,089‬‬

‫‪0,019‬‬ ‫‪0,097‬‬ ‫‪0,014‬‬

‫‪0,092‬‬ ‫‪0,008‬‬

‫‪0,090‬‬

‫‪0,035‬‬

‫‪0,028‬‬

‫‪0,094‬‬ ‫‪0,006‬‬

‫‪0,022‬‬

‫‪0,081‬‬

‫‪A‬‬

‫‪α‬‬

‫‪0,010‬‬

‫‪B‬‬

‫‪α‬‬

‫‪0,086‬‬

‫‪A‬‬

‫‪α‬‬

‫‪0,007‬‬

‫‪B‬‬

‫‪α‬‬

‫‪0,086‬‬

‫‪A‬‬

‫‪α‬‬

‫‪0,006‬‬

‫‪B‬‬

‫‪α‬‬

‫‪w =g+p‬‬

‫‪M − A = α − A .w .a 2‬‬

‫‪w u = g u + pu‬‬

‫‪M − B = α − B .w .b 2‬‬

‫‪0,60‬‬

‫‪0,55‬‬

‫‪0,50‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬

‫‪61‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ )‪ (5-3‬ﺍﳌﻌﺎﻣﻼﺕ ﺍﳌﻌﺘﻤﺪﺓ ﰲ ﺍﻟﻌﺰﻭﻡ ﺍﳌﻮﺟﺒﺔ ﺑﺘﺄﺛﲑ ﺍﻷﲪﺎﻝ ﺍﻟﺪﺍﺋﻤﺔ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬ ‫ﺣﺎﻟﺔ ‪9‬‬

‫ﺣﺎﻟﺔ ‪8‬‬

‫ﺣﺎﻟﺔ ‪7‬‬

‫ﺣﺎﻟﺔ ‪6‬‬

‫ﺣﺎﻟﺔ ‪5‬‬

‫ﺣﺎﻟﺔ ‪4‬‬

‫ﺣﺎﻟﺔ ‪3‬‬

‫ﺣﺎﻟﺔ ‪2‬‬

‫ﻧﺴﺒﺔ‬

‫ﺣﺎﻟﺔ ‪1‬‬ ‫اﻟﻤﻌﺎﻣﻞ‬

‫‪a‬‬ ‫‪b‬‬

‫‪a‬‬ ‫‪b‬‬

‫‪0,023‬‬

‫‪0,020‬‬

‫‪0,027‬‬

‫‪0,033‬‬

‫‪0,027‬‬

‫‪0,027‬‬

‫‪0,018‬‬

‫‪0,018‬‬

‫‪0,036‬‬

‫‪α A DL‬‬

‫‪0,020‬‬

‫‪0,023‬‬

‫‪0,033‬‬

‫‪0,027‬‬

‫‪0,018‬‬

‫‪0,027‬‬

‫‪0,027‬‬

‫‪0,018‬‬

‫‪0,036‬‬

‫‪α B DL‬‬

‫‪0,024‬‬

‫‪0,022‬‬

‫‪0,031‬‬

‫‪0,036‬‬

‫‪0,028‬‬

‫‪0,030‬‬

‫‪0,021‬‬

‫‪0,020‬‬

‫‪0,040‬‬

‫‪α A DL‬‬

‫‪0,017‬‬

‫‪0,021‬‬

‫‪0,031‬‬

‫‪0,024‬‬

‫‪0,015‬‬

‫‪0,024‬‬

‫‪0,025‬‬

‫‪0,016‬‬

‫‪0,033‬‬

‫‪α B DL‬‬

‫‪0,026‬‬

‫‪0,025‬‬

‫‪0,035‬‬

‫‪0,039‬‬

‫‪0,029‬‬

‫‪0,033‬‬

‫‪0,025‬‬

‫‪0,022‬‬

‫‪0,045‬‬

‫‪α A DL‬‬

‫‪0,015‬‬

‫‪0,019‬‬

‫‪0,028‬‬

‫‪0,021‬‬

‫‪0,013‬‬

‫‪0,022‬‬

‫‪0,024‬‬

‫‪0,014‬‬

‫‪0,029‬‬

‫‪α B DL‬‬

‫‪0,028‬‬

‫‪0,029‬‬

‫‪0,040‬‬

‫‪0,042‬‬

‫‪0,031‬‬

‫‪0,036‬‬

‫‪0,029‬‬

‫‪0,024‬‬

‫‪0,050‬‬

‫‪α A DL‬‬

‫‪0,013‬‬

‫‪0,017‬‬

‫‪0,025‬‬

‫‪0,017‬‬

‫‪0,011‬‬

‫‪0,019‬‬

‫‪0,022‬‬

‫‪0,012‬‬

‫‪0,026‬‬

‫‪α B DL‬‬

‫‪0,029‬‬

‫‪0,032‬‬

‫‪0,045‬‬

‫‪0,045‬‬

‫‪0,032‬‬

‫‪0,039‬‬

‫‪0,034‬‬

‫‪0,026‬‬

‫‪0,056‬‬

‫‪α A DL‬‬

‫‪1,00‬‬

‫‪0,95‬‬

‫‪0,90‬‬

‫‪0,85‬‬ ‫‪0,8‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬

‫‪62‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ )‪ (5-3‬ﺍﳌﻌﺎﻣﻼﺕ ﺍﳌﻌﺘﻤﺪﺓ ﰲ ﺍﻟﻌﺰﻭﻡ ﺍﳌﻮﺟﺒﺔ ﺑﺘﺄﺛﲑ ﺍﻷﲪﺎﻝ ﺍﻟﺪﺍﺋﻤﺔ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬ ‫ﺣﺎﻟﺔ ‪9‬‬

‫ﺣﺎﻟﺔ ‪8‬‬

‫ﺣﺎﻟﺔ ‪7‬‬

‫ﺣﺎﻟﺔ ‪6‬‬

‫ﺣﺎﻟﺔ ‪5‬‬

‫ﺣﺎﻟﺔ ‪4‬‬

‫ﺣﺎﻟﺔ ‪3‬‬

‫ﺣﺎﻟﺔ ‪2‬‬

‫ﻧﺴﺒﺔ‬

‫ﺣﺎﻟﺔ ‪1‬‬ ‫اﻟﻤﻌﺎﻣﻞ‬

‫‪a‬‬ ‫‪b‬‬

‫‪a‬‬ ‫‪b‬‬

‫‪0,010‬‬

‫‪0,015‬‬

‫‪0,022‬‬

‫‪0,015‬‬

‫‪0,009‬‬

‫‪0,016‬‬

‫‪0,020‬‬

‫‪0,011‬‬

‫‪0,023‬‬

‫‪α B DL‬‬

‫‪0,031‬‬

‫‪0,036‬‬

‫‪0,051‬‬

‫‪0,048‬‬

‫‪0,033‬‬

‫‪0,043‬‬

‫‪0,040‬‬

‫‪0,028‬‬

‫‪0,061‬‬

‫‪α A DL‬‬

‫‪0,007‬‬

‫‪0,013‬‬

‫‪0,020‬‬

‫‪0,012‬‬

‫‪0,007‬‬

‫‪0,013‬‬

‫‪0,018‬‬

‫‪0,009‬‬

‫‪0,019‬‬

‫‪α B DL‬‬

‫‪0,033‬‬

‫‪0,040‬‬

‫‪0,058‬‬

‫‪0,051‬‬

‫‪0,035‬‬

‫‪0,046‬‬

‫‪0,046‬‬

‫‪0,030‬‬

‫‪0,068‬‬

‫‪α A DL‬‬

‫‪0,006‬‬

‫‪0,011‬‬

‫‪0,017‬‬

‫‪0,009‬‬

‫‪0,005‬‬

‫‪0,011‬‬

‫‪0,016‬‬

‫‪0,007‬‬

‫‪0,016‬‬

‫‪α B DL‬‬

‫‪0,034‬‬

‫‪0,044‬‬

‫‪0,065‬‬

‫‪0,054‬‬

‫‪0,036‬‬

‫‪0,050‬‬

‫‪0,054‬‬

‫‪0,032‬‬

‫‪0,074‬‬

‫‪α A DL‬‬

‫‪0,005‬‬

‫‪0,009‬‬

‫‪0,014‬‬

‫‪0,007‬‬

‫‪0,004‬‬

‫‪0,009‬‬

‫‪0,014‬‬

‫‪0,006‬‬

‫‪0,013‬‬

‫‪α B DL‬‬

‫‪0,036‬‬

‫‪0,048‬‬

‫‪0,073‬‬

‫‪0,056‬‬

‫‪0,037‬‬

‫‪0,053‬‬

‫‪0,062‬‬

‫‪0,034‬‬

‫‪0,081‬‬

‫‪α A DL‬‬

‫‪0,75‬‬

‫‪0,70‬‬

‫‪0,65‬‬ ‫‪0,60‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬

‫‪63‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ )‪ (5-3‬ﺍﳌﻌﺎﻣﻼﺕ ﺍﳌﻌﺘﻤﺪﺓ ﰲ ﺍﻟﻌﺰﻭﻡ ﺍﳌﻮﺟﺒﺔ ﺑﺘﺄﺛﲑ ﺍﻷﲪﺎﻝ ﺍﻟﺪﺍﺋﻤﺔ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬ ‫ﺣﺎﻟﺔ ‪9‬‬

‫ﺣﺎﻟﺔ ‪8‬‬

‫ﺣﺎﻟﺔ ‪7‬‬

‫ﺣﺎﻟﺔ ‪6‬‬

‫ﺣﺎﻟﺔ ‪5‬‬

‫ﺣﺎﻟﺔ ‪4‬‬

‫ﺣﺎﻟﺔ ‪3‬‬

‫ﺣﺎﻟﺔ ‪2‬‬

‫ﻧﺴﺒﺔ‬

‫ﺣﺎﻟﺔ ‪1‬‬ ‫اﻟﻤﻌﺎﻣﻞ‬

‫‪a‬‬ ‫‪b‬‬

‫‪a‬‬ ‫‪b‬‬

‫‪0,004‬‬

‫‪0,007‬‬

‫‪0,012‬‬

‫‪0,006‬‬

‫‪0,003‬‬

‫‪0,007‬‬

‫‪0,011‬‬

‫‪0,004‬‬

‫‪0,010‬‬

‫‪α B DL‬‬

‫‪0,037‬‬

‫‪0,052‬‬

‫‪0,081‬‬

‫‪0,058‬‬

‫‪0,038‬‬

‫‪0,056‬‬

‫‪0,071‬‬

‫‪0,035‬‬

‫‪0,088‬‬

‫‪α A DL‬‬

‫‪0,003‬‬

‫‪0,005‬‬

‫‪0,009‬‬

‫‪0,004‬‬

‫‪0,002‬‬

‫‪0,005‬‬

‫‪0,009‬‬

‫‪0,003‬‬

‫‪0,008‬‬

‫‪α B DL‬‬

‫‪0,038‬‬

‫‪0,056‬‬

‫‪0,089‬‬

‫‪0,061‬‬

‫‪0,039‬‬

‫‪0,059‬‬

‫‪0,080‬‬

‫‪0,037‬‬

‫‪0,095‬‬

‫‪α A DL‬‬

‫‪0,002‬‬

‫‪0,004‬‬

‫‪0,007‬‬

‫‪0,003‬‬

‫‪0,001‬‬

‫‪0,004‬‬

‫‪0,007‬‬

‫‪0,002‬‬

‫‪0,006‬‬

‫‪α B DL‬‬

‫‪ = g‬اﻟﺤﻤﻞ اﻟﻤﯿﺖ ) اﻟﺜﺎﺑﺖ( ) أو ‪( g u‬‬

‫‪+‬‬

‫‪. g .a 2‬‬

‫‪ADL‬‬

‫‪=α‬‬

‫‪ADL‬‬

‫‪. g .b 2‬‬

‫‪BDL‬‬

‫‪=α‬‬

‫‪BDL‬‬

‫‪+‬‬

‫‪0,55‬‬

‫‪0,50‬‬

‫‪M‬‬ ‫‪M‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬

‫‪64‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ )‪ (6-3‬ﺍﳌﻌﺎﻣﻼﺕ ﺍﳌﻌﺘﻤﺪﺓ ﰲ ﺍﻟﻌﺰﻭﻡ ﺍﳌﻮﺟﺒﺔ ﺑﺘﺄﺛﲑ ﺍﻷﲪﺎﻝ ﺍﻹﺿﺎﻓﻴﺔ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬ ‫ﺣﺎﻟﺔ ‪9‬‬

‫ﺣﺎﻟﺔ ‪8‬‬

‫ﺣﺎﻟﺔ ‪7‬‬

‫ﺣﺎﻟﺔ ‪6‬‬

‫ﺣﺎﻟﺔ ‪5‬‬

‫ﺣﺎﻟﺔ ‪4‬‬

‫ﺣﺎﻟﺔ ‪3‬‬

‫ﺣﺎﻟﺔ ‪2‬‬

‫ﻧﺴﺒﺔ‬

‫ﺣﺎﻟﺔ ‪1‬‬ ‫اﻟﻤﻌﺎﻣﻞ‬

‫‪a‬‬ ‫‪b‬‬

‫‪a‬‬ ‫‪b‬‬

‫‪0,030‬‬

‫‪0,028‬‬

‫‪0,032‬‬

‫‪0,035‬‬

‫‪0,032‬‬

‫‪0,032‬‬

‫‪0,027‬‬

‫‪0,027‬‬

‫‪0,036‬‬

‫‪α A LL‬‬

‫‪0,028‬‬

‫‪0,030‬‬

‫‪0,035‬‬

‫‪0,032‬‬

‫‪0,027‬‬

‫‪0,032‬‬

‫‪0,032‬‬

‫‪0,027‬‬

‫‪0,036‬‬

‫‪α B LL‬‬

‫‪0,032‬‬

‫‪0,031‬‬

‫‪0,036‬‬

‫‪0,038‬‬

‫‪0,034‬‬

‫‪0,035‬‬

‫‪0,031‬‬

‫‪0,030‬‬

‫‪0,040‬‬

‫‪α A LL‬‬

‫‪0,025‬‬

‫‪0,027‬‬

‫‪0,032‬‬

‫‪0,029‬‬

‫‪0,024‬‬

‫‪0,029‬‬

‫‪0,029‬‬

‫‪0,025‬‬

‫‪0,033‬‬

‫‪α B LL‬‬

‫‪0,036‬‬

‫‪0,035‬‬

‫‪0,040‬‬

‫‪0,042‬‬

‫‪0,037‬‬

‫‪0,039‬‬

‫‪0,035‬‬

‫‪0,034‬‬

‫‪0,045‬‬

‫‪α A LL‬‬

‫‪0,022‬‬

‫‪0,024‬‬

‫‪0,029‬‬

‫‪0,025‬‬

‫‪0,021‬‬

‫‪0,026‬‬

‫‪0,027‬‬

‫‪0,022‬‬

‫‪0,029‬‬

‫‪α B LL‬‬

‫‪0,039‬‬

‫‪0,040‬‬

‫‪0,045‬‬

‫‪0,046‬‬

‫‪0,041‬‬

‫‪0,043‬‬

‫‪0,040‬‬

‫‪0,037‬‬

‫‪0,050‬‬

‫‪α A LL‬‬

‫‪0,020‬‬

‫‪0,022‬‬

‫‪0,026‬‬

‫‪0,022‬‬

‫‪0,019‬‬

‫‪0,023‬‬

‫‪0,024‬‬

‫‪0,019‬‬

‫‪0,026‬‬

‫‪α B LL‬‬

‫‪0,042‬‬

‫‪0,044‬‬

‫‪0,051‬‬

‫‪0,051‬‬

‫‪0,044‬‬

‫‪0,048‬‬

‫‪0,045‬‬

‫‪0,041‬‬

‫‪0,056‬‬

‫‪α A LL‬‬

‫‪1,00‬‬

‫‪0,95‬‬

‫‪0,90‬‬

‫‪0,85‬‬ ‫‪0,8‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬

‫‪65‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ )‪ (6-3‬ﺍﳌﻌﺎﻣﻼﺕ ﺍﳌﻌﺘﻤﺪﺓ ﰲ ﺍﻟﻌﺰﻭﻡ ﺍﳌﻮﺟﺒﺔ ﺑﺘﺄﺛﲑ ﺍﻷﲪﺎﻝ ﺍﻹﺿﺎﻓﻴﺔ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬ ‫ﺣﺎﻟﺔ ‪9‬‬

‫ﺣﺎﻟﺔ ‪8‬‬

‫ﺣﺎﻟﺔ ‪7‬‬

‫ﺣﺎﻟﺔ ‪6‬‬

‫ﺣﺎﻟﺔ ‪5‬‬

‫ﺣﺎﻟﺔ ‪4‬‬

‫ﺣﺎﻟﺔ ‪3‬‬

‫ﺣﺎﻟﺔ ‪2‬‬

‫ﻧﺴﺒﺔ‬

‫ﺣﺎﻟﺔ ‪1‬‬ ‫اﻟﻤﻌﺎﻣﻞ‬

‫‪a‬‬ ‫‪b‬‬

‫‪a‬‬ ‫‪b‬‬

‫‪0,017‬‬

‫‪0,019‬‬

‫‪0,023‬‬

‫‪0,019‬‬

‫‪0,016‬‬

‫‪0,020‬‬

‫‪0,022‬‬

‫‪0,017‬‬

‫‪0,023‬‬

‫‪α B LL‬‬

‫‪0,046‬‬

‫‪0,049‬‬

‫‪0,056‬‬

‫‪0,055‬‬

‫‪0,047‬‬

‫‪0,052‬‬

‫‪0,051‬‬

‫‪0,045‬‬

‫‪0,061‬‬

‫‪α A LL‬‬

‫‪0,013‬‬

‫‪0,016‬‬

‫‪0,020‬‬

‫‪0,016‬‬

‫‪0,013‬‬

‫‪0,016‬‬

‫‪0,019‬‬

‫‪0,014‬‬

‫‪0,019‬‬

‫‪α B LL‬‬

‫‪0,050‬‬

‫‪0,054‬‬

‫‪0,063‬‬

‫‪0,060‬‬

‫‪0,051‬‬

‫‪0,057‬‬

‫‪0,057‬‬

‫‪0,049‬‬

‫‪0,068‬‬

‫‪α A LL‬‬

‫‪0,011‬‬

‫‪0,014‬‬

‫‪0,017‬‬

‫‪0,013‬‬

‫‪0,011‬‬

‫‪0,014‬‬

‫‪0,016‬‬

‫‪0,012‬‬

‫‪0,016‬‬

‫‪α B LL‬‬

‫‪0,054‬‬

‫‪0,059‬‬

‫‪0,070‬‬

‫‪0,064‬‬

‫‪0,055‬‬

‫‪0,062‬‬

‫‪0,064‬‬

‫‪0,053‬‬

‫‪0,074‬‬

‫‪α A LL‬‬

‫‪0,009‬‬

‫‪0,011‬‬

‫‪0,014‬‬

‫‪0,010‬‬

‫‪0,009‬‬

‫‪0,011‬‬

‫‪0,014‬‬

‫‪0,010‬‬

‫‪0,013‬‬

‫‪α B LL‬‬

‫‪0,059‬‬

‫‪0,065‬‬

‫‪0,077‬‬

‫‪0,068‬‬

‫‪0,059‬‬

‫‪0,067‬‬

‫‪0,071‬‬

‫‪0,058‬‬

‫‪0,081‬‬

‫‪α A LL‬‬

‫‪0,75‬‬

‫‪0,70‬‬

‫‪0,65‬‬ ‫‪0,60‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬

‫‪66‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ )‪ (6-3‬ﺍﳌﻌﺎﻣﻼﺕ ﺍﳌﻌﺘﻤﺪﺓ ﰲ ﺍﻟﻌﺰﻭﻡ ﺍﳌﻮﺟﺒﺔ ﺑﺘﺄﺛﲑ ﺍﻷﲪﺎﻝ ﺍﻹﺿﺎﻓﻴﺔ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬ ‫ﺣﺎﻟﺔ ‪9‬‬

‫ﺣﺎﻟﺔ ‪8‬‬

‫ﺣﺎﻟﺔ ‪7‬‬

‫ﺣﺎﻟﺔ ‪6‬‬

‫ﺣﺎﻟﺔ ‪5‬‬

‫ﺣﺎﻟﺔ ‪4‬‬

‫ﺣﺎﻟﺔ ‪3‬‬

‫ﺣﺎﻟﺔ ‪2‬‬

‫ﻧﺴﺒﺔ‬

‫ﺣﺎﻟﺔ ‪1‬‬ ‫اﻟﻤﻌﺎﻣﻞ‬

‫‪a‬‬ ‫‪b‬‬

‫‪a‬‬ ‫‪b‬‬

‫‪0,007‬‬

‫‪0,009‬‬

‫‪0,011‬‬

‫‪0,008‬‬

‫‪0,007‬‬

‫‪0,009‬‬

‫‪0,011‬‬

‫‪0,007‬‬

‫‪0,010‬‬

‫‪α B LL‬‬

‫‪0,063‬‬

‫‪0,070‬‬

‫‪0,085‬‬

‫‪0,073‬‬

‫‪0,063‬‬

‫‪0,072‬‬

‫‪0,080‬‬

‫‪0,062‬‬

‫‪0,088‬‬

‫‪α A LL‬‬

‫‪0,006‬‬

‫‪0,007‬‬

‫‪0,009‬‬

‫‪0,006‬‬

‫‪0,005‬‬

‫‪0,007‬‬

‫‪0,009‬‬

‫‪0,006‬‬

‫‪0,008‬‬

‫‪α B LL‬‬

‫‪0,067‬‬

‫‪0,076‬‬

‫‪0,092‬‬

‫‪0,078‬‬

‫‪0,067‬‬

‫‪0,077‬‬

‫‪0,088‬‬

‫‪0,066‬‬

‫‪0,095‬‬

‫‪α A LL‬‬

‫‪0,004‬‬

‫‪0,005‬‬

‫‪0,007‬‬

‫‪0,005‬‬

‫‪0,004‬‬

‫‪0,005‬‬

‫‪0,007‬‬

‫‪0,004‬‬

‫‪0,006‬‬

‫‪α B LL‬‬

‫‪ = P‬ﺍﳊﻤﻞ ﺍﻹﺿﺎﰲ ) ﺍﳌﺆﻗﺖ( ) ﺃﻭ ‪( Pu‬‬

‫‪. P .a 2‬‬

‫‪ALL‬‬

‫‪2‬‬ ‫‪BLL . P .b‬‬

‫‪=α‬‬

‫‪+‬‬ ‫‪ALL‬‬

‫‪BLL = α‬‬

‫‪+‬‬

‫‪0,55‬‬

‫‪0,50‬‬

‫‪M‬‬ ‫‪M‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬

‫‪67‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ )‪ (7-3‬ﻧﺴﺒﺔ ﺃﻗﺴﺎﻁ ﺍﻷﲪﺎﻝ ﰲ ﺍﻻﲡﺎﻫﲔ )‪ (a‬ﻭ )‪ (b‬ﻟﺘﻘﺪﻳﺮ ﻗﻮﻯ ﺍﻟﻘﺺ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬ ‫ﺣﺎﻟﺔ ‪9‬‬

‫ﺣﺎﻟﺔ ‪8‬‬

‫ﺣﺎﻟﺔ ‪7‬‬

‫ﺣﺎﻟﺔ ‪6‬‬

‫ﺣﺎﻟﺔ ‪5‬‬

‫ﺣﺎﻟﺔ ‪4‬‬

‫ﺣﺎﻟﺔ ‪3‬‬

‫ﺣﺎﻟﺔ ‪2‬‬

‫ﻧﺴﺒﺔ‬

‫ﺣﺎﻟﺔ ‪1‬‬ ‫اﻟﻤﻌﺎﻣﻞ‬

‫‪a‬‬ ‫‪b‬‬

‫‪a‬‬ ‫‪b‬‬

‫‪0,67‬‬

‫‪0,33‬‬

‫‪0,29‬‬

‫‪0,71‬‬

‫‪0,83‬‬

‫‪0,50‬‬

‫‪0,17‬‬

‫‪0,50‬‬

‫‪0,50‬‬

‫‪wa‬‬

‫‪0,33‬‬

‫‪0,67‬‬

‫‪0,71‬‬

‫‪0,29‬‬

‫‪0,17‬‬

‫‪0,50‬‬

‫‪0,83‬‬

‫‪0,50‬‬

‫‪0,50‬‬

‫‪wb‬‬

‫‪0,71‬‬

‫‪0,38‬‬

‫‪0,33‬‬

‫‪0,75‬‬

‫‪0,86‬‬

‫‪0,55‬‬

‫‪0,20‬‬

‫‪0,55‬‬

‫‪0,55‬‬

‫‪wa‬‬

‫‪0,29‬‬

‫‪0,62‬‬

‫‪0,67‬‬

‫‪0,25‬‬

‫‪0,14‬‬

‫‪0,45‬‬

‫‪0,80‬‬

‫‪0,45‬‬

‫‪0,45‬‬

‫‪wb‬‬

‫‪0,75‬‬

‫‪0,43‬‬

‫‪0,38‬‬

‫‪0,79‬‬

‫‪0,88‬‬

‫‪0,60‬‬

‫‪0,23‬‬

‫‪0,60‬‬

‫‪0,60‬‬

‫‪wa‬‬

‫‪0,25‬‬

‫‪0,57‬‬

‫‪0,62‬‬

‫‪0,21‬‬

‫‪0,12‬‬

‫‪0,40‬‬

‫‪0,77‬‬

‫‪0,40‬‬

‫‪0,40‬‬

‫‪wb‬‬

‫‪0,79‬‬

‫‪0,49‬‬

‫‪0,43‬‬

‫‪0,83‬‬

‫‪0,90‬‬

‫‪0,66‬‬

‫‪0,28‬‬

‫‪0,66‬‬

‫‪0,66‬‬

‫‪wa‬‬

‫‪0,21‬‬

‫‪0,51‬‬

‫‪0,57‬‬

‫‪0,17‬‬

‫‪0,10‬‬

‫‪0,34‬‬

‫‪0,72‬‬

‫‪0,34‬‬

‫‪0,34‬‬

‫‪wb‬‬

‫‪1,00‬‬

‫‪0,95‬‬

‫‪0,90‬‬

‫‪0,85‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬

‫‪68‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ )‪ (7-3‬ﻧﺴﺒﺔ ﺃﻗﺴﺎﻁ ﺍﻷﲪﺎﻝ ﰲ ﺍﻻﲡﺎﻫﲔ )‪ (a‬ﻭ )‪ (b‬ﻟﺘﻘﺪﻳﺮ ﻗﻮﻯ ﺍﻟﻘﺺ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬ ‫ﺣﺎﻟﺔ ‪9‬‬

‫ﺣﺎﻟﺔ ‪8‬‬

‫ﺣﺎﻟﺔ ‪7‬‬

‫ﺣﺎﻟﺔ ‪6‬‬

‫ﺣﺎﻟﺔ ‪5‬‬

‫ﺣﺎﻟﺔ ‪4‬‬

‫ﺣﺎﻟﺔ ‪3‬‬

‫ﺣﺎﻟﺔ ‪2‬‬

‫ﻧﺴﺒﺔ‬

‫ﺣﺎﻟﺔ ‪1‬‬ ‫اﻟﻤﻌﺎﻣﻞ‬

‫‪a‬‬ ‫‪b‬‬

‫‪a‬‬ ‫‪b‬‬

‫‪0,83‬‬

‫‪0,55‬‬

‫‪0,49‬‬

‫‪0,86‬‬

‫‪0,92‬‬

‫‪0,71‬‬

‫‪0,33‬‬

‫‪0,71‬‬

‫‪0,71‬‬

‫‪wa‬‬

‫‪0,17‬‬

‫‪0,45‬‬

‫‪0,51‬‬

‫‪0,14‬‬

‫‪0,08‬‬

‫‪0,29‬‬

‫‪0,67‬‬

‫‪0,29‬‬

‫‪0,29‬‬

‫‪wb‬‬

‫‪0,86‬‬

‫‪0,61‬‬

‫‪0,56‬‬

‫‪0,88‬‬

‫‪0,94‬‬

‫‪0,76‬‬

‫‪0,39‬‬

‫‪0,76‬‬

‫‪0,76‬‬

‫‪wa‬‬

‫‪0,14‬‬

‫‪0,39‬‬

‫‪0,44‬‬

‫‪0,12‬‬

‫‪0,06‬‬

‫‪0,24‬‬

‫‪0,61‬‬

‫‪0,24‬‬

‫‪0,24‬‬

‫‪wb‬‬

‫‪0,89‬‬

‫‪0,68‬‬

‫‪0,62‬‬

‫‪0,91‬‬

‫‪0,95‬‬

‫‪0,81‬‬

‫‪0,45‬‬

‫‪0,81‬‬

‫‪0,81‬‬

‫‪wa‬‬

‫‪0,11‬‬

‫‪0,32‬‬

‫‪0,38‬‬

‫‪0,09‬‬

‫‪0,05‬‬

‫‪0,19‬‬

‫‪0,55‬‬

‫‪0,19‬‬

‫‪0,19‬‬

‫‪wb‬‬

‫‪0,92‬‬

‫‪0,74‬‬

‫‪0,69‬‬

‫‪0,93‬‬

‫‪0,96‬‬

‫‪0,85‬‬

‫‪0,53‬‬

‫‪0,85‬‬

‫‪0,85‬‬

‫‪wa‬‬

‫‪0,08‬‬

‫‪0,26‬‬

‫‪0,31‬‬

‫‪0,07‬‬

‫‪0,04‬‬

‫‪0,15‬‬

‫‪0,47‬‬

‫‪0,15‬‬

‫‪0,15‬‬

‫‪wb‬‬

‫‪0,8‬‬

‫‪0,75‬‬

‫‪0,70‬‬

‫‪0,65‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬

‫‪69‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ )‪ (7-3‬ﻧﺴﺒﺔ ﺃﻗﺴﺎﻁ ﺍﻷﲪﺎﻝ ﰲ ﺍﻻﲡﺎﻫﲔ )‪ (a‬ﻭ )‪ (b‬ﻟﺘﻘﺪﻳﺮ ﻗﻮﻯ ﺍﻟﻘﺺ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬ ‫ﺣﺎﻟﺔ ‪9‬‬

‫ﺣﺎﻟﺔ ‪8‬‬

‫ﺣﺎﻟﺔ ‪7‬‬

‫ﺣﺎﻟﺔ ‪6‬‬

‫ﺣﺎﻟﺔ ‪5‬‬

‫ﺣﺎﻟﺔ ‪4‬‬

‫ﺣﺎﻟﺔ ‪3‬‬

‫ﺣﺎﻟﺔ ‪2‬‬

‫ﻧﺴﺒﺔ‬

‫ﺣﺎﻟﺔ ‪1‬‬ ‫اﻟﻤﻌﺎﻣﻞ‬

‫‪a‬‬ ‫‪b‬‬

‫‪a‬‬ ‫‪b‬‬

‫‪0,94‬‬

‫‪0,80‬‬

‫‪0,76‬‬

‫‪0,95‬‬

‫‪0,97‬‬

‫‪0,89‬‬

‫‪0,61‬‬

‫‪0,89‬‬

‫‪0,89‬‬

‫‪wa‬‬

‫‪0,06‬‬

‫‪0,20‬‬

‫‪0,24‬‬

‫‪0,05‬‬

‫‪0,03‬‬

‫‪0,11‬‬

‫‪0,39‬‬

‫‪0,11‬‬

‫‪0,11‬‬

‫‪wb‬‬

‫‪0,95‬‬

‫‪0,85‬‬

‫‪0,81‬‬

‫‪0,96‬‬

‫‪0,98‬‬

‫‪0,92‬‬

‫‪0,69‬‬

‫‪0,92‬‬

‫‪0,92‬‬

‫‪wa‬‬

‫‪0,05‬‬

‫‪0,15‬‬

‫‪0,19‬‬

‫‪0,04‬‬

‫‪0,02‬‬

‫‪0,08‬‬

‫‪0,31‬‬

‫‪0,08‬‬

‫‪0,08‬‬

‫‪wb‬‬

‫‪0,97‬‬

‫‪0,89‬‬

‫‪0,86‬‬

‫‪0,97‬‬

‫‪0,99‬‬

‫‪0,94‬‬

‫‪0,76‬‬

‫‪0,94‬‬

‫‪0,94‬‬

‫‪wa‬‬

‫‪0,03‬‬

‫‪0,11‬‬

‫‪0,14‬‬

‫‪0,03‬‬

‫‪0,01‬‬

‫‪0,06‬‬

‫‪0,24‬‬

‫‪0,06‬‬

‫‪0,06‬‬

‫‪wb‬‬

‫‪ = w a‬ﺍﳊﻤﻞ ﰲ ﺍﻻﲡﺎﻩ )‪(a‬‬

‫‪0,60‬‬

‫‪0,55‬‬

‫‪0,50‬‬

‫‪ = w b‬ﺍﳊﻤﻞ ﰲ ﺍﻻﲡﺎﻩ )‪(b‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬

‫‪70‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫‪ 2-5-3‬ﺗﺼﻤﻴﻢ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ ‪:‬‬ ‫ﻳﺘﻢ ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﻣﻘﺎﻃﻊ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ ﻭﺫﻟﻚ ﻟﻜﻞ ﺍﲡﺎﻩ ﻣﻦ ﺍﲡﺎﻫﻲ ﻋﻤﻞ ﺍﻟﺒﻼﻃﺔ ﺑﺎﻋﺘﺒﺎﺭﻫﺎ‬ ‫ﻣﻘﺎﻃﻊ ﻣﺴﺘﻄﻴﻠﺔ ﻋﺮﺿﻬﺎ ‪ 1 m‬ﻋﺮﺽ ﺍﻟﺸﺮﳛﺔ ﺍﳌﺪﺭﻭﺳﺔ ﻭﺍﺭﺗﻔﺎﻋﻬﺎ ﻫﻮ ﺍﻟﺴﻤﻚ ﺍﻟﻜﻠﻲ ﻟﻠﺒﻼﻃﺔ ) ‪ ( t‬ﻭﺍﻟﺬﻱ ﰎ ﲢﺪﻳﺪﻩ‬ ‫ﺍﺳﺘﻨﺎﺩﺍﹰ ﺇﱃ ﺍﻟﺒﻨﺪ ) ‪ ( 3-3‬ﻭﻳﻌﻤﻢ ﻫﺬﺍ ﺍﻟﺘﺼﻤﻴﻢ ﻋﻠﻰ ﻛﺎﻓﺔ ﺷﺮﺍﺋﺢ ﺍﻟﺒﻼﻃﺔ ‪.‬‬ ‫ﻭﻋﻠﻴﻪ ﻓﺈﻥ ﻣﻌﻄﻴﺎﺕ ﺍﻟﺘﺼﻤﻴﻢ ﻭﺍﻟﺘﺤﻘﻴﻖ ﺍﳌﺘﻮﻓﺮﺓ ﻫﻲ ﻣﻮﺍﺻﻔﺎﺕ ﻭﺟﻮﺩﺓ ﻛﻞﹴ ﻣﻦ ﺍﻟﺒﻴﺘﻮﻥ ﻭﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ ﻭ ﻗﻮﻯ‬ ‫ﺍﳌﻘﺎﻃﻊ )ﺍﻟﻨﺎﲡﺔ ﻋﻦ ﺃﲪﺎﻝ ﺍﻻﺳﺘﺜﻤﺎﺭ ﺃﻭ ﺍﻷﲪﺎﻝ ﺍﻟﻘﺼﻮﻯ )ﺍﳌﺼﻌﺪﺓ(( ﻭﺫﻟﻚ ﻟﻜﻞ ﻣﻦ ﺍﲡﺎﻫﻲ ﻋﻤﻞ ﺍﻟﺒﻼﻃﺔ ﻭ ﺍﻷﺑﻌـﺎﺩ‬ ‫ﺍﳍﻨﺪﺳﻴﺔ ﳌﻘﻄﻊ ﺍﻟﺒﻼﻃﺔ ‪.‬‬ ‫ﻳﺘﻢ ﺗﺼﻤﻴﻢ ﺃﻭ ﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﺑﺈﺣﺪﻯ ﺃﻭ ﻛﻠﺘﺎ ﺍﳊﺎﻟﺘﲔ ﺍﳌﻌﺘﻤﺪﺗﲔ ﰲ ﺍﻟﻜﻮﺩ ﺍﻟﻌﺮﰊ ﺍﻟﺴﻮﺭﻱ ﻋﻠﻰ ﳓﻮ ﺇﻟﺰﺍﻣـﻲ ﺃﻭ‬ ‫ﺍﺧﺘﻴﺎﺭﻱ ﻭﳘﺎ ﺣﺎﻟﺔ ﺣﺪ ﲡﺎﻭﺯ ﺍﻹﺟﻬﺎﺩﺍﺕ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ ﺃﻭ ﺣﺎﻟﺔ ﺣﺪ ﺍﻻ‪‬ﻴﺎﺭ ) ﺍﳊﺪ ﺍﻷﻗﺼﻰ ﻟﻠﻤﻘﺎﻭﻣﺔ ( ﻭﺫﻟﻚ ﺑﻌﺪ‬ ‫ﺍﻟﻌﻮﺩﺓ ﺇﱃ ﳎﺎﻝ ﺍﺳﺘﺨﺪﺍﻡ ﺍﳊﺎﻟﺘﲔ ﺍﳌﺬﻛﻮﺭﺗﲔ ﺷﺮﻳﻄﺔ ﺃﻥ ﺗﻌﺘﻤﺪ ﺇﺣﺪﻯ ﺍﳊﺎﻟﺘﲔ ﻓﻘﻂ ﰲ ﺗﺼﻤﻴﻢ ﺃﻭﲢﻘﻴﻖ ﻛﺎﻓﺔ ﻋﻨﺎﺻﺮ‬ ‫ﺍﳌﻨﺸﺄﺓ ﻭﻻ ﳚﻮﺯ ﺍﳉﻤﻊ ﺑﻴﻨﻬﻤﺎ ‪.‬‬ ‫ﻭﻟﺘﺒﺴﻴﻂ ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﺍﻟﺒﻴﺘﻮﻧﻴﺔ ﺍﳌﺴﻠﺤﺔ ﺍﳌﺴﺘﻄﻴﻠﺔ ﲝﺎﻟﺔ ﺣﺪ ﲡﺎﻭﺯ ﺍﻹﺟﻬﺎﺩﺍﺕ ﺍﳌﺴﻤﻮﺡ ‪‬ـﺎ ﳝﻜـﻦ‬ ‫ﺍﺳﺘﺨﺪﺍﻡ ﺟﺪﺍﻭﻝ ﺍﳌﻠﺤﻖ ) ‪ ( A‬ﻣﻦ ) ‪ ( A-1‬ﺣﱴ ) ‪ ( A-10‬ﻭ ﲝﺎﻟﺔ ﺣﺪ ﺍﻻ‪‬ﻴﺎﺭ )ﺍﳊﺪ ﺍﻷﻗﺼـﻰ ﻟﻠﻤﻘﺎﻭﻣـﺔ(‬ ‫) ‪ ( B-1‬ﺣﱴ ) ‪. ( B-8‬‬ ‫ﺟﺪﺍﻭﻝ ﺍﳌﻠﺤﻖ ) ‪ ( B‬ﻣﻦ‬ ‫‪ 6-3‬ﻣﺴﺎﺣﺎﺕ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺪﻧﻴﺎ ﻭﺍﻟﻘﺼﻮﻯ ﻟﻠﺒﻼﻃﺎﺕ ‪:‬‬ ‫ﺗﺆﺧﺬ ﻣﺴﺎﺣﺎﺕ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺪﻧﻴﺎ ﻭﺍﻟﻘﺼﻮﻯ ﻟﻠﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ ﻛﻤﺎ ﺫﹸﻛـﺮ ﰲ ﺍﻟﺒﻨـﺪ‬ ‫ﺑﺎﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ‪.‬‬

‫) ‪5-2‬‬

‫( ﺍﳋﺎﺻـﺔ‬

‫‪ 7-3‬ﺗﺮﺗﻴﺒﺎﺕ ﺗﺴﻠﻴﺢ ﺍﻟﺒﻼﻃﺎﺕ ‪:‬‬ ‫ﻳﺘﻢ ﺍﺧﺘﻴﺎﺭ ﻭﺗﺮﺗﻴﺐ ﻗﻀﺒﺎﻥ ﺍﻟﺘﺴﻠﻴﺢ ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ ﻛﻤﺎ ﺫﹸﻛﺮ ﰲ ﺍﻟﺒﻨﺪ )‪ (6-2‬ﺍﳋﺎﺻﺔ ﺑﺎﻟﺒﻼﻃـﺎﺕ‬ ‫ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ‪.‬‬ ‫ﺗﺒﻌﺎﹰ ﻻ ﲡﺎﻩ ﺍﻟﺸﻘﻮﻕ ﺍﳌﺒﻴﻨﺔ ﰲ ﺍﻷﺷﻜﺎﻝ ﺍﻟﺴﺎﺑﻘﺔ ) ‪ ( 4-3‬ﻭ ) ‪ ( 5-3‬ﻓﺈﻥ ﺍﺳﺘﺨﺪﺍﻡ ﺷﺒﻜﺔ ﺗﺴﻠﻴﺢ ﻗﻄﺮﻳﺔ ﻛﻤـﺎ ﰲ‬ ‫ﺍﻟﺸﻜﻞ )‪ (a-6-3‬ﻳﻜﻮﻥ ﻣﺜﺎﻟﻴﺎﹰ ﻏﲑ ﺃﻧﻪ ﺑﺘﺤﻠﻴﻞ ﺍﻟﻘﻮﻯ ﺍﻟﺸﺎﺩﺓ ﺇﱃ ﻣﺮﻛﺒﺘﻴﻬﺎ ﺍﳌﻮﺍﺯﻳﺘﲔ ﻷﺿﻼﻉ ﺍﻟﺒﻼﻃﺎﺕ ﻳﺒﲔ ﺇﻣﻜﺎﻧﻴـﺔ‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪71‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﺳﺘﺨﺪﺍﻡ ﺷﺒﻜﺔ ﺗﺴﻠﻴﺢ ﻣﺘﻌﺎﻣﺪﺓ ﻭﻣﻮﺍﺯﻳﺔ ﻷﺿﻼﻉ ﺍﻟﺒﻼﻃﺔ ﻛﻤﺎ ﰲ ﺍﻟﺸﻜﻞ )‪ . (b-6-3‬ﻛﻤﺎ ﺃﻥ ﺍﻟﺘﺠﺎﺭﺏ ﺑﻴﻨﺖ ﺃﻥ ﺁﻟﻴﺎﺕ‬ ‫ﺍ‪‬ﻴﺎﺭ ﺍﻟﺒﻼﻃﺎﺕ ﻛﺎﻥ ﻣﺘﺸﺎ‪‬ﺎﹰ ﻟﺪﻯ ﺍﺳﺘﺨﺪﺍﻡ ﺷﺒﻜﺎﺕ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻘﻄﺮﻳﺔ ﺃﻭ ﻟﺪﻯ ﺍﺳﺘﺨﺪﺍﻡ ﺷﺒﻜﺎﺕ ﺍﻟﺘﺴـﻠﻴﺢ ﺍﳌﻮﺍﺯﻳـﺔ‬ ‫ﻷﺿﻼﻉ ﺍﻟﺒﻼﻃﺔ ‪ ،‬ﻏﲑ ﺃﻧﻪ ﻣﻦ ﻭﺟﻬﺔ ﻧﻈﺮ ﺳﻬﻮﻟﺔ ﺗﻨﻔﻴﺬ ﺷﺒﻜﺔ ﺍﻟﺘﺴﻠﻴﺢ ﻓﺈﻥ ﺍﻻﺧﺘﻴﺎﺭ ﻳﻘﻊ ﺣﺘﻤﺎﹰ ﻋﻠﻰ ﺷﺒﻜﺔ ﺍﻟﺘﺴـﻠﻴﺢ‬ ‫ﺍﳌﺴﺘﻄﻴﻠﺔ ﺍﳌﻮﺍﺯﻳﺔ ﻷﺿﻼﻉ ﺍﻟﺒﻼﻃﺔ ‪.‬‬

‫)‪(a‬‬

‫ﻗﻄﺮﻳﺔ‬

‫)‪(b‬‬

‫ﻣﺴﺘﻄﻴﻠﺔ ﻣﻮﺍﺯﻳﺔ ﻷﺿﻼﻉ ﺍﻟﺒﻼﻃﺔ‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 6-3‬ﺷﺒﻜﺔ ﺗﺴﻠﻴﺢ ﺍﻟﺒﻼﻃﺔ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫‪ 8-3‬ﻧﻘﻞ ﲪﻮﻻﺕ ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ ﺇﱃ ﺍﳉﻮﺍﺋﺰ ‪:‬‬ ‫ﺑﺎﻟﻨﺴﺒﺔ ﺇﱃ ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ ﻭﺍﳌﺴﺘﻨﺪﺓ ﻋﻠﻰ ﺟﻮﺍﺋﺰ ﳏﻴﻄﻴﺔ ﻓﺈﻥ ﺍﻷﲪﺎﻝ ﺗﻨﺘﻘﻞ ﻣﻦ ﺍﻟﺒﻼﻃﺎﺕ ﺇﱃ ﺍﳉﻮﺍﺋﺰ‬ ‫ﻭﻓﻖ ﻣﻨﺼﻔﺎﺕ ﺍﻟﺰﻭﺍﻳﺎ ﻛﻤﺎ ﻫﻮ ﻣﺒﲔ ﺑﺎﻟﺸﻜﻞ ) ‪. ( 7-3‬‬ ‫ﺍﳌﻨﻄﻘــﺔ ﺍﶈﻤﻠــﺔ‬ ‫ـﻰ ﺍﳉـ‬ ‫ﻋﻠـ‬ ‫ـﺎﺋﺰ ‪B1‬‬

‫ﺍﳌﻨﻄﻘــﺔ ﺍﶈﻤﻠــﺔ ﻋﻠــﻰ ﺍﳉــﺎﺋﺰ ‪B2‬‬ ‫‪B2‬‬

‫‪Lx‬‬

‫‪B1‬‬ ‫‪θ‬‬

‫‪θ‬‬

‫‪Ly‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 7-3‬ﳐﻄﻂ ﺍﻧﺘﻘﺎﻝ ﺍﳊﻤﻮﻻﺕ ﺇﱃ ﺍﳉﻮﺍﺋﺰ ﺍﶈﻴﻄﺔ ﺑﺎﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪72‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﻭﳝﻜﻦ ﺍﺳﺘﺒﺪﺍﻝ ﺍﻷﲪﺎﻝ ﺍﳌﺜﻠﺜﻴﺔ ﻭﺷﺒﻪ ﺍﳌﻨﺤﺮﻓﺔ ﺑﺄﲪﺎﻝ ﻣﻜﺎﻓﺌﺔ ﻣﻮﺯﻋﺔ ﺑﺎﻧﺘﻈﺎﻡ ‪ ،‬ﻭﺍﳊﻤﻞ ﺍﳌﻜﺎﻓﺊ ﻫﻮ ﺍﳊﻤﻞ ﺍﳌﻮﺯﻉ‬ ‫ﺑﺎﻧﺘﻈﺎﻡ ﺍﻟﺬﻱ ﻳﻌﻄﻲ ﺫﺍﺕ ﺍﻟﻌﺰﻡ ﺃﻭ ﺍﻟﻘﺺ ﺍﻟﺬﻱ ﺗﻌﻄﻴﻪ ﺍﻷﲪﺎﻝ ﺍﳌﺜﻠﺜﻴﺔ ﺃﻭ ﺍﻟﺸﺒﻪ ﻣﻨﺤﺮﻓﺔ ﺍﳌﻄﺒﻘﺔ ﻋﻠﻰ ﺍﳉﺎﺋﺰ ﰲ ﺍﳌﻘﻄـﻊ‬ ‫ﺍﳌﺪﺭﻭﺱ ‪ .‬ﻭﺗﻀﺎﻑ ﺇﱃ ﺃﲪﺎﻝ ﺍﳉﻮﺍﺋﺰ ﺍﳌﻨﺘﻘﻮﻟﺔ ﻣﻦ ﺍﻟﺒﻼﻃﺎﺕ ﺃﻭﺯ‪‬ﺎ ﺍﻟﺬﺍﺗﻴﺔ ﻭﺍﻷﲪﺎﻝ ﺍﳌﻄﺒﻘﺔ ﻋﻠﻴﻬﺎ ﻣﺒﺎﺷـﺮﺓ ﻛﺄﲪـﺎﻝ‬ ‫ﺍﳉﺪﺭﺍﻥ‪ ,‬ﺃﻭ ﺍﻟﻌﻨﺎﺻﺮ ﺍﳌﻌﻤﺎﺭﻳﺔ ﻭﺍﻟﺘﺰﻳﻨﻴﺔ ﺍﻷﺧﺮﻯ ‪.‬‬ ‫ﲢﺴﺐ ﺍﻷﲪﺎﻝ ﺍﳌﻜﺎﻓﺌﺔ ﰲ ﺣﺎﻟﺔ ﺍﳉﻮﺍﺋﺰ ﺍﻟﺒﺴﻴﻄﺔ ﻭﻓﻖ ﺍﻟﻌﻼﻗﺎﺕ ﺍﻟﺘﺎﻟﻴﺔ ‪:‬‬ ‫)‪(3-3‬‬

‫‪We 1 = α .W . Lx / 2‬‬

‫)‪(3-4‬‬

‫‪We 2 = β .W . Lx / 2‬‬

‫ﺣﻴﺚ ‪ W :‬ﺍﳊﻤﻞ ﺍﳌﻮﺯﻉ ﺑﺎﻧﺘﻈﺎﻡ ﻋﻠﻰ ﺍﻟﺒﻼﻃﺔ ﰲ ﺣﺎﻟﺔ ﺣﺪ ﺍﻻﺳﺘﺜﻤﺎﺭ ‪ ،‬ﻭﻳﺆﺧﺬ ‪ Wu‬ﰲ ﺣﺎﻟﺔ ﺍﳊﺪ ﺍﻷﻗﺼﻰ ﻋﻠـﻰ‬ ‫ﺍﳌﻘﺎﻭﻣﺔ ‪.‬‬ ‫‪Lx‬‬

‫ﺍﻟﺒﻌﺪ ﺍﻟﻘﺼﲑ ﻟﻠﺒﻼﻃﺔ ‪.‬‬

‫‪Ly‬‬

‫ﺍﻟﺒﻌﺪ ﺍﻟﻄﻮﻳﻞ ﻟﻠﺒﻼﻃﺔ ‪.‬‬

‫‪ We1‬ﺍﳊﻤﻞ ﺍﳌﻜﺎﻓﺊ ﺍﳌﻮﺯﻉ ﺑﺎﻧﺘﻈﺎﻡ ﳊﺴﺎﺏ ﺍﻟﻌﺰﻡ ﺍﻷﻋﻈﻤﻲ ﰲ ﻭﺳﻂ ﺍﳉﺎﺋﺰ ﺍﻟﺒﺴﻴﻂ ‪.‬‬ ‫‪ We 2‬ﺍﳊﻤﻞ ﺍﳌﻜﺎﻓﺊ ﺍﳌﻮﺯﻉ ﺑﺎﻧﺘﻈﺎﻡ ﳊﺴﺎﺏ ﻗﻮﻯ ﺍﻟﻘﺺ ﻭﺭﺩﻭﺩ ﺍﻷﻓﻌﺎﻝ ﻋﻨﺪ ﻣﺴﺎﻧﺪ ﺍﳉﺎﺋﺰ ﺍﻟﺒﺴﻴﻂ ‪.‬‬ ‫ﻣﻌﺎﻣﻼﺕ ﺗﺆﺧﺬ ﻋﻠﻰ ﺍﻟﻨﺤﻮ ﺍﻟﺘﺎﱄ ‪:‬‬

‫‪β ;α‬‬

‫ﺑﺎﻟﻨﺴﺒﺔ ﺇﱃ ﺍﳉﺎﺋﺰ ﺍﻟﺒﺴﻴﻂ ﺍﳊﺎﻣﻞ ﳊﻤﻮﻟﺔ ﻣﺜﻠﺜﻴﺔ ﺗﻜﻮﻥ ﻗﻴﻢ ﺍﳌﻌﺎﻣﻞ ﺍﻟﱵ ﺗﻌﻄﻲ ﺍﻟﻌﺰﻡ ﺍﻷﻋﻈﻤﻲ‬ ‫ﺍﳌﻌﺎﻣﻞ ﺍﻟﱵ ﺗﻌﻄﻲ ﺍﻟﻘﺺ ﺍﻷﻋﻈﻤﻲ ‪. β = 0, 5‬‬ ‫ﺑﺎﻟﻨﺴﺒﺔ ﺇﱃ ﺍﳉﺎﺋﺰ ﺍﻟﺒﺴﻴﻂ ﺍﳊﺎﻣﻞ ﳊﻤﻮﻟﺔ ﺷﺒﻪ ﻣﻨﺤﺮﻓﺔ ﺗﺆﺧﺬ ﻗﻴﻢ‬ ‫ﺃﺿﻼﻉ ﺍﻟﺒﻼﻃﺔ ‪.‬‬

‫‪; β‬‬

‫‪α = 0,667‬‬

‫‪ ،‬ﻭﻗـﻴﻢ‬

‫‪ α‬ﻣﻦ ﺍﳉﺪﻭﻝ )‪ (8-3‬ﺗﺒﻌﺎﹰ ﻟﻨﺴﺒﺔ ﺃﻃـﻮﺍﻝ‬

‫ﲢﺴﺐ ﺍﻷﲪﺎﻝ ﺍﳌﻜﺎﻓﺌﺔ ﰲ ﺣﺎﻟﺔ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺴﺘﻤﺮﺓ ﻭﻓﻖ ﺍﻟﻌﻼﻗﺎﺕ ﺍﻟﺘﺎﻟﻴﺔ ‪:‬‬ ‫)‪(3-5‬‬

‫‪We 3 = λ .W . Lx / 2‬‬

‫ﺣﻴﺚ ‪:‬‬ ‫‪ W‬ﺍﳊﻤﻞ ﺍﳌﻮﺯﻉ ﺑﺎﻧﺘﻈﺎﻡ ﻋﻠﻰ ﺍﻟﺒﻼﻃﺔ ﰲ ﺣﺎﻟﺔ ﺣﺪ ﺍﻻﺳﺘﺜﻤﺎﺭ ‪ ،‬ﻭﻳﺆﺧﺬ ‪ Wu‬ﰲ ﺣﺎﻟﺔ ﺍﳊﺪ ﺍﻷﻗﺼﻰ ﻋﻠﻰ ﺍﳌﻘﺎﻭﻣﺔ ‪.‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪73‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬ ‫‪Lx‬‬

‫ﺍﻟﺒﻌﺪ ﺍﻟﻘﺼﲑ ﻟﻠﺒﻼﻃﺔ ﻭ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ‬

‫ﺍﻟﺒﻌﺪ ﺍﻟﻄﻮﻳﻞ ﻟﻠﺒﻼﻃﺔ ‪.‬‬

‫‪Ly‬‬

‫‪ We 3‬ﺍﳊﻤﻞ ﺍﳌﻜﺎﻓﺊ ﺍﳌﻮﺯﻉ ﺑﺎﻧﺘﻈﺎﻡ ﳊﺴﺎﺏ ﺍﻟﻌﺰﻡ ﺍﻟﺴﺎﻟﺐ ﻋﻨﺪ ﻣﺴﺎﻧﺪ ﺍﳉﺎﺋﺰ ﺍﳌﺴﺘﻤﺮ ﺃﻭ ﺍﳌﻮﺛﻮﻕ ‪.‬‬ ‫‪λ‬‬

‫ﻣﻌﺎﻣﻞ ﻳﺆﺧﺬ ﻋﻠﻰ ﺍﻟﻨﺤﻮ ﺍﻟﺘﺎﱄ ‪:‬‬

‫ﺑﺎﻟﻨﺴﺒﺔ ﺇﱃ ﺍﳉﺎﺋﺰ ﺍﳌﺴﺘﻤﺮ ﺍﳊﺎﻣﻞ ﳊﻤﻮﻻﺕ ﻣﺜﻠﺜﻴﺔ ﺗﻜﻮﻥ ﻗﻴﻤﺔ ﺍﳌﻌﺎﻣﻞ‬

‫‪λ = 0, 625‬‬

‫‪.‬‬

‫ﺑﺎﻟﻨﺴﺒﺔ ﺇﱃ ﺍﳉﺎﺋﺰ ﺍﳌﺴﺘﻤﺮ ﺍﳊﺎﻣﻞ ﳊﻤﻮﻻﺕ ﺷﺒﻪ ﻣﻨﺤﺮﻓﺔ ﲢﺴﺐ ﻗﻴﻤﺔ ﺍﳌﻌﺎﻣﻞ ﻭﻓﻖ ﺍﻟﻌﻼﻗﺔ‪:‬‬ ‫‪Lx 2‬‬ ‫‪L‬‬ ‫‪) + ( 0,5. x )3‬‬ ‫‪Ly‬‬ ‫‪Ly‬‬

‫)‪(3-6‬‬

‫ﻭﳝﻜﻦ ﻟﻠﺘﺒﺴﻴﻂ ﺍﳊﺼﻮﻝ ﻋﻠﻰ ﻗﻴﻢ‬

‫‪λ‬‬

‫‪λ =1 − 2.( 0,5‬‬

‫ﻣﻦ ﺍﳉﺪﻭﻝ ) ‪ ( 8-3‬ﺗﺒﻌﺎﹰ ﻟﻨﺴﺒﺔ ﺃﺿﻼﻉ ﺍﻟﺒﻼﻃﺔ ‪.‬‬

‫ﺍﺳﺘﻨﺎﺩﺍﹰ ﺇﱃ ﻗﻴﻢ ﺍﻟﻌﺰﻭﻡ ﺍﻟﺴﺎﻟﺒﺔ ﰲ ﻣﺴﺎﻧﺪ ﺍﳉﺎﺋﺰ ﺍﳌﺴﺘﻤﺮ ﻳﺘﻢ ﻋﺪﺩﻳﺎﹰ ﺣﺴﺎﺏ ﺍﻟﻌﺰﻭﻡ ﺍﳌﻮﺟﺒﺔ ﻭﻗﻮﻯ ﺍﻟﻘﺺ ﺑﺪﺭﺍﺳﺔ ﻛﻞ‬ ‫ﻓﺘﺤﺔ ﻣﻦ ﻓﺘﺤﺎﺕ ﺍﳉﺎﺋﺰ ‪.‬‬ ‫ﺍﳉﺪﻭﻝ ) ‪ ( 8-3‬ﻣﻌﺎﻣﻼﺕ ﻣﻜﺎﻓﺌﺔ ﺍﻷﲪﺎﻝ ﺷﺒﻪ ﺍﳌﻨﺤﺮﻓﺔ‬ ‫ﺑﺄﲪﺎﻝ ﻣﻮﺯﻋﺔ ﺑﺎﻧﺘﻈﺎﻡ ﻋﻠﻰ ﺍﳉﻮﺍﺋﺰ ﺍﻟﺒﺴﻴﻄﺔ ﻭﺍﳌﺴﺘﻤﺮﺓ‬ ‫ﻟﻠﺠﻮﺍﺋﺰ ﺍﻟﺒﺴﻴﻄﺔ‬

‫ﻟﻠﺠﻮﺍﺋﺰ ﺍﳌﺴﺘﻤﺮﺓ‬

‫‪Ly‬‬

‫‪α‬‬

‫‪Lx‬‬ ‫‪1,0‬‬

‫‪λ‬‬

‫‪β‬‬

‫‪0.625‬‬

‫‪0,500‬‬

‫‪0,667‬‬

‫‪0.681‬‬

‫‪0,545‬‬

‫‪0,725‬‬

‫‪1,1‬‬

‫‪0.725‬‬

‫‪0,583‬‬

‫‪0,769‬‬

‫‪1,2‬‬

‫‪0.761‬‬

‫‪0,615‬‬

‫‪0,803‬‬

‫‪1,3‬‬

‫‪0.790‬‬

‫‪0,643‬‬

‫‪0,829‬‬

‫‪1,4‬‬

‫‪0.815‬‬

‫‪0,667‬‬

‫‪0,852‬‬

‫‪1,5‬‬

‫‪0.835‬‬

‫‪0,688‬‬

‫‪0,870‬‬

‫‪1,6‬‬

‫‪0.852‬‬

‫‪0,706‬‬

‫‪0,885‬‬

‫‪1,7‬‬

‫‪0.867‬‬

‫‪0,722‬‬

‫‪0,897‬‬

‫‪1,8‬‬

‫‪0.880‬‬

‫‪0,737‬‬

‫‪0,908‬‬

‫‪1,9‬‬

‫‪0.891‬‬

‫‪0,750‬‬

‫‪0,917‬‬

‫‪2,0‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪74‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺼﻞ ﺍﻟﺮﺍﺑﻊ‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬ ‫‪ 1-4‬ﻣﻘﺪﻣﺔ ‪:‬‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﻫﻲ ﺑﻼﻃﺎﺕ ﺑﻴﺘﻮﻧﻴﺔ ﲢﺘﻮﻱ ﻋﻠﻰ ﻓﺮﺍﻏﺎﺕ ﻭﺗﻨﻔﺬ ﺑﺈﺣﺪﻯ ﺍﻟﻄﺮﻕ ﺍﻟﺘﺎﻟﻴﺔ ‪:‬‬ ‫‪ -1‬ﺑﺎﺳﺘﺨﺪﺍﻡ ﻗﻮﺍﻟﺐ ﻣﺆﻗﺘﺔ ﺣﻴﺚ ﺗﺘﺄﻟﻒ ﺍﻟﺒﻼﻃﺔ ﻣﻦ ﺃﻋﺼﺎﺏ ﻣﺘﺪﻟﻴﺔ ﲢﻤﻞ ﻓﻮﻗﻬﺎ ﺑﻼﻃﺔ ﺗﻐﻄﻴﺔ ) ﺑﻼﻃﺔ ﺿﻐﻂ( ﺫﺍﺕ‬ ‫ﺗﺴﻠﻴﺢ ﺇﻧﺸﺎﺋﻲ ‪ ،‬ﻭﻳﺘﻢ ﻧﺰﻉ ﺍﻟﻘﻮﺍﻟﺐ ﺑﻌﺪ ﺗﺼﻠﺐ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺼﺒﻮﺏ‪ ،‬ﻭﻻ ﲢﻮﻱ ﻫﺬﻩ ﺍﻟﺒﻼﻃﺎﺕ ﻋﻠﻰ ﻗﺮﻣﻴﺪ ﻣﻔﺮﻍ‬ ‫ﻛﻤﺎ ﰲ ﺍﻟﺸﻜﻞ )‪. (1-4‬‬ ‫‪S‬‬ ‫‪b‬‬ ‫‪tf‬‬ ‫‪t‬‬ ‫‪d‬‬

‫‪b-50mm‬‬ ‫ﺍﻟﺸﻜﻞ ) ‪ ( 1-4‬ﻣﻘﻄﻊ ﻋﺮﺿﻲ ﰲ ﺑﻼﻃﺔ ﻣﻔﺮﻏﺔ ﻣﻨﻔﺬﺓ ﺑﻘﻮﺍﻟﺐ ﻣﺆﻗﺘﺔ‬

‫‪ -2‬ﺑﺎﺳﺘﺨﺪﺍﻡ ﻗﻮﺍﻟﺐ ﺩﺍﺋﻤﺔ ﻣﻔﺮﻏﺔ ﺗﻜﻮﻥ ﻋﺎﺩﺓﹰ ﻣﻦ ﺍﻟﺒﻠﻮﻙ ﺍﳌﻔﺮﻍ ﺍﻻﲰﻨﱵ ﺃﻭ ﺍﻵﺟﺮﻱ‪ ،‬ﺣﻴﺚ ﻳﺘﻢ ﺗﻨﻔﻴﺬ ﻛﻞ ﺻـﻒ‬ ‫ﻣﻦ ﺍﻟﺒﻠﻮﻙ ﺍﳌﺘﻼﺻﻖ ﻣﻊ ﺑﻌﻀﻪ ﺍﻟﺒﻌﺾ ﰒ ﻳﺘﻢ ﺗﺸﻜﻴﻞ ﺻﻔﻮﻑ ﻣﺘﺠﺎﻭﺭﺓ ﻳﻔﺼﻞ ﻓﻴﻤﺎ ﺑﻴﻨﻬﺎ ﻓﺮﺍﻍ ﳏﺪﺩ ﻳﻮﺿﻊ ﻓﻴـﻪ‬ ‫ﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻼﺯﻡ ﻭﻳﺼﺐ ﺑﺎﻟﺒﻴﺘﻮﻥ ﻣﻊ ﺑﻼﻃﺔ ﺍﻟﺘﻐﻄﻴﺔ ﺫﺍﺕ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻹﻧﺸﺎﺋﻲ ﻓﻴﻤﺎ ﺑﻌﺪ ‪ ،‬ﻭﺍﻟﺸﻜﻞ )‪ (2-4‬ﻳﺒﲔ‬ ‫ﻣﺴﻘﻄﺎﹰ ﺃﻓﻘﻴﺎﹰ ﻟﺘﻮﺯﻉ ﺍﻟﻘﻮﺍﻟﺐ ﻭﺍﻷﻋﺼﺎﺏ ﻭﺍﳉﻮﺍﺋﺰ ﺍﳊﺎﻣﻠﺔ ﺃﻣﺎ ﺍﻟﺸﻜﻞ )‪ (3-4‬ﻓﻴﻮﺿﺢ ﻣﻘﻄﻌﺎﹰ ﻋﺮﺿﻴﺎﹰ ﰲ ﺍﻟﻘﻮﺍﻟﺐ‬ ‫ﻭﺍﻷﻋﺼﺎﺏ ‪.‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪75‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬ ‫ﺻ ﻔﻮف ﺑﻠ ﻮك‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫أﻋﺼ ﺎب ﺟ ﺎﺋﺰ رﺑ ﻂ‬

‫‪L2‬‬

‫‪I‬‬

‫ﺟ ﺎﺋﺰ رﺋﯿﺴ ﻲ‬

‫‪I‬‬

‫‪L1‬‬ ‫ﺍﻟﺸﻜﻞ ) ‪ ( 2-4‬ﻣﺴﻘﻂ ﺃﻓﻘﻲ ﻟﻜﻮﻓﺮﺍﺝ ﺑﻼﻃﺔ ﻣﻔﺮﻏﺔ ﻣﻨﻔﺬﺓ ﺑﻘﻮﺍﻟﺐ ﻫﻮﺭﺩﻱ ﺩﺍﺋﻤﺔ‬

‫ﯾﻤﻜ ﻦ اﻻﻛﺘﻔ ﺎء ﺑﻘﻀ ﯿﺐ ﺗﻌﻠﯿ‬ ‫واﺣ ﺪ وأﺳ ﻮارة ﻋﻠ ﻰ ﺷ ﻜﻞ ﻣﺜﻠ ﺚ‬

‫ﻖ‬

‫‪b-30mm‬‬

‫‪tf‬‬ ‫‪t‬‬ ‫‪d‬‬

‫‪b‬‬ ‫‪S‬‬ ‫ﺍﻟﺸﻜﻞ ) ‪ ( 3-4‬ﻣﻘﻄﻊ ﻋﺮﺿﻲ ‪ I-I‬ﰲ ﺑﻼﻃﺔ ﻣﻔﺮﻏﺔ ﻣﻨﻔﺬﺓ ﺑﻘﻮﺍﻟﺐ ﻫﻮﺭﺩﻱ ﺩﺍﺋﻤﺔ‬

‫‪ -3‬ﺑﻼﻃﺎﺕ ﻣﻔﺮﻏﺔ ﻣﺴﺒﻘﺔ ﺍﻟﺼﻨﻊ‪ ،‬ﻳﺘﻢ ﺗﺼﻨﻴﻌﻬﺎ ﰲ ﻣﻌﺎﻣﻞ ﺍﳋﺮﺳﺎﻧﺔ ﲝﻴﺚ ﲢﻮﻱ ﻓﺮﺍﻏﺎﺕ ﻭﻓﺘﺤﺎﺕ ﺩﺍﺧﻠﻴﺔ ﻃﻮﻟﻴﺔ ﳍﺎ‬ ‫ﻣﻘﺎﻃﻊ ﻋﺮﺿﻴﺔ ﳐﺘﻠﻔﺔ ﻣﺜﻞ ﺍﳌﻘﺎﻃﻊ ﺍﻟﺪﺍﺋﺮﻳﺔ ﺃﻭ ﺍﻟﺒﻴﻀﻮﻳﺔ ﺃﻭ ﺃﻱ ﺷﻜﻞ ﺁﺧﺮ ‪ ،‬ﻭﻋﻨﺪﻫﺎ ﺗﻜـﻮﻥ ﺍﻷﻋﺼـﺎﺏ ﻏـﲑ‬ ‫ﻭﺍﺿﺤﺔ ﺃﻭ ﻏﲑ ﺻﺮﳛﺔ ﻛﻤﺎ ﻫﻮ ﻣﻮﺿﺢ ﰲ ﺍﳌﻘﺎﻃﻊ ﺍﻟﻌﺮﺿﻴﺔ ﰲ ﺍﻟﺸﻜﻞ )‪. (4-4‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪76‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﻓ ﺮاغ داﺋ ﺮي‬

‫‪tf‬‬ ‫‪t‬‬

‫‪tf‬‬ ‫ﻋﺼ ﺐ‬ ‫ﻓ ﺮاغ ﺑﯿﻀ ﻮي‬

‫‪tf‬‬ ‫‪t‬‬

‫‪tf‬‬ ‫ﺍﻟﺸﻜﻞ ) ‪ ( 4-4‬ﻣﻘﺎﻃﻊ ﻋﺮﺿﻴﺔ ﰲ ﺑﻼﻃﺎﺕ ﻣﺴﺒﻘﺔ ﺍﻟﺼﻨﻊ ﺫﺍﺕ ﻓﺮﺍﻏﺎﺕ ﺩﺍﺧﻠﻴﺔ‬

‫ﳝﻜﻦ ﺍﻟﺘﻤﻴﻴﺰ ﺑﲔ ﻧﻮﻋﲔ ﻣﻦ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺣﺴﺐ ﻧﻮﻉ ﺍﳉﻮﺍﺋﺰ ﺍﳊﺎﻣﻠﺔ ﳍﺎ‪ ،‬ﻭﻫﻲ ‪:‬‬ ‫‪ -1‬ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺍﳌﺰﻭﺩﺓ ﲜﻮﺍﺋﺰ ﻣﺘﺪﻟﻴﺔ ﲰﻜﻬﺎ ﺍﻟﻜﻠﻲ ﻻ ﻳﻘﻞ ﻋﻦ ﺿﻌﻒ ﲰﻚ ﺍﻟﺒﻼﻃﺔ ‪.‬‬ ‫‪ -2‬ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺨﻔﻴﺔ ﺍﻟﱵ ﳍﺎ ﲰﻚ ﺍﻟﺒﻼﻃﺔ ﺫﺍﺗﻪ ‪.‬‬ ‫ﲤﺘﻠﻚ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﻣﻴﺰﺍﺕ ﻣﻌﻤﺎﺭﻳﺔ ﻭﺇﻧﺸﺎﺋﻴﺔ ﺧﺎﺻﺔ ﻧﺬﻛﺮ ﻣﻨﻬﺎ ‪:‬‬ ‫ﳏﺎﺳﻦ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ‪:‬‬ ‫‪-‬‬

‫ﻋﺎﺯﻟﻴﺘﻬﺎ ﺍﳉﻴﺪﺓ ﻟﻠﺼﻮﺕ ﻭﺍﳊﺮﺍﺭﺓ ‪ ،‬ﻟﺬﺍ ﻓﺈﻥ ﻫﺬﻩ ﺍﻟﺒﻼﻃﺎﺕ ﻣﺜﺎﻟﻴﺔ ﻋﻨﺪ ﺍﺳﺘﺨﺪﺍﻣﻬﺎ ﰲ ﺍﳌﺒﺎﱐ ﺍﻟﱵ ﺗﺘﻄﻠﺐ ﻭﺟﻮﺩ‬ ‫ﻋﺎﺯﻟﻴﺔ ﺻﻮﺗﻴﺔ ﻋﺎﻟﻴﺔ ﻣﺜﻞ ﺍﳌﺸﺎﰲ ﻭﺍﳌﺪﺍﺭﺱ ﻭﺍﳉﺎﻣﻌﺎﺕ‪ ،‬ﻭﰲ ﺍﳌﻨﺸﺂﺕ ﺍﻟﱵ ﺗﺘﻄﻠﺐ ﺗﺄﻣﲔ ﻋﺎﺯﻟﻴﺔ ﺣﺮﺍﺭﻳﺔ ﻋﺎﻟﻴﺔ ﻣﺜﻞ‬ ‫ﺑﺮﺍﺩﺍﺕ ﺍﳋﻀﺎﺭ ﻭﺍﻟﻔﻮﺍﻛﻪ ‪.‬‬

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‫ﺇﻣﻜﺎﻧﻴﺔ ﺗﻨﻔﻴﺬ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺑﺎﺳﺘﺨﺪﺍﻡ ﺟﻮﺍﺋﺰ ﳐﻔﻴﺔ ﺃﻱ ﺍﳊﺼﻮﻝ ﻋﻠﻰ ﺳﻘﻒ ﻣﺴﺘﻮﹴ ﻣﻦ ﺍﻷﺳـﻔﻞ ‪ ،‬ﻛـﻮﻥ‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﲰﺎﻛﺔ ﻛﺒﲑﺓ ﺑﺎﳌﻘﺎﺭﻧﺔ ﻣﻊ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺑﺴﺒﺐ ﻭﺟﻮﺩ ﺍﻟﻘﻮﺍﻟﺐ ﺍﳌﻔﺮﻏﺔ ﺿـﻤﻨﻬﺎ ‪ ،‬ﻭﻫـﺬﺍ‬ ‫ﻳﻀﻔﻲ ﲨﺎﻻﹰ ﻣﻌﻤﺎﺭﻳﺎﹰ ﻭﻳﺴﻤﺢ ﰲ ﺍﻟﻮﻗﺖ ﺫﺍﺗﻪ ﲝﺮﻳﺔ ﺗﻨﻔﻴﺬ ﺍﳉﺪﺭﺍﻥ ﺍﻟﺪﺍﺧﻠﻴﺔ ﺩﻭﻥ ﻇﻬﻮﺭ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺪﻟﻴﺔ ﺿـﻤﻦ‬ ‫ﺍﻟﻐﺮﻑ ‪.‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪77‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

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‫ﺳﻬﻮﻟﺔ ﻭﺳﺮﻋﺔ ﰲ ﺍﻟﺘﻨﻔﻴﺬ ﻋﻨﺪ ﺍﺳﺘﺨﺪﺍﻡ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺨﻔﻴﺔ ‪.‬‬

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‫ﺗﺒﺪﻱ ﺍﻟﺒﻼﻃﺔ ﺍﳌﻔﺮﻏﺔ ﳑﺎﻧﻌﺔ ﺟﻴﺪﺓ ﺿﺪ ﺍﻻﻫﺘﺰﺍﺯ ﺍﻟﱵ ﺗﺴﺒﺒﻪ ﺍﻷﲪﺎﻝ ﺍﳌﺘﺤﺮﻛﺔ ﻋﻠﻰ ﺍﻟﺒﻼﻃﺔ ﻣﺒﺎﺷﺮﺓﹰ ﺃﻭ ﺍﻟﻘﺮﻳﺒـﺔ‬ ‫ﻣﻨﻬﺎ‪.‬‬

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‫ﺗﺴﻤﺢ ﻫﺬﻩ ﺍﻟﺒﻼﻃﺎﺕ ﺑﺘﻐﻄﻴﺔ ﻗﺎﻋﺎﺕ ﺗﺼﻞ ﳎﺎﺯﺍ‪‬ﺎ ﺇﱃ ) ‪ ( 7‬ﺃﻣﺘﺎﺭ ﺃﻭ ﺃﻛﺜﺮ ‪.‬‬ ‫ﻣﺴﺎﻭﺉ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ‪:‬‬

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‫ﻋﺪﻡ ﻗﺪﺭﺓ ﻣﺜﻞ ﻫﺬﺍ ﺍﻟﻨﻮﻉ ﻣﻦ ﺍﻟﺒﻼﻃﺎﺕ ﻋﻠﻰ ﲢﻤﻞ ﺍﻷﲪﺎﻝ ﺍﻹﺿﺎﻓﻴﺔ ﺍﻟﻜﺒﲑﺓ ﻟﺬﻟﻚ ﻻ ﻳﻨﺼﺢ ﺍﺳـﺘﺨﺪﺍﻣﻬﺎ ﰲ‬ ‫ﺍﳌﻨﺸﺂﺕ ﺍﳋﺎﺻﺔ ﺍﳋﺎﺿﻌﺔ ﻷﲪﺎﻝ ﻛﺒﲑﺓ ﻛﻤﺎ ﰲ ﺍﳌﺮﺍﺋﺐ ﻭﺭﺣﺒﺎﺕ ﺍﻵﻟﻴﺎﺕ ﺍﻟﻄﺎﺑﻘﻴﺔ ﻭﺍﳌﻌﺎﻣﻞ‪ ،‬ﻛﻤﺎ ﺃﻥ ﻫﺬﺍ ﺍﻟﻨﻮﻉ‬ ‫ﻣﻦ ﺍﻟﺒﻼﻃﺎﺕ ﺃﻗﻞ ﻣﻘﺎﻭﻣﺔ ﻟﻠﻘﺬﺍﺋﻒ ﻣﻦ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ‪ ،‬ﺑﻴﻨﻤﺎ ﺗﺴﺘﺨﺪﻡ ﺑﻜﺜﺮﺓ ﰲ ﺍﻷﺑﻨﻴﺔ ﺍﻟﺴﻜﻨﻴﺔ ﻭﺍﳌﻜﺎﺗﺐ‬ ‫ﺍﳋﺎﺻﺔ ﻭﺍﻟﻌﺎﻣﺔ ﻭﺍﻟﻔﻨﺎﺩﻕ ﻭﺍﳌﺪﺍﺭﺱ ﻭﺍﳌﺸﺎﰲ ‪.‬‬

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‫ﺍﺭﺗﻔﺎﻉ ﺍﻟﺘﻜﻠﻔﺔ ﰲ ﻣﻮﺍﺩ ﺍﻹﻧﺸﺎﺀ ﻣﻘﺎﺑﻞ ﺍﳔﻔﺎﺽ ﰲ ﺗﻜﻠﻔﺔ ﻭﺃﺟﻮﺭ ﺍﻟﻘﺎﻟﺐ ﻋﻨﺪ ﺍﺳﺘﺨﺪﺍﻡ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺨﻔﻴﺔ ‪.‬‬

‫‪ 2-4‬ﺍﻻﺷﺘﺮﺍﻃﺎﺕ ﺍﻟﺒﻌﺪﻳﺔ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ‪:‬‬ ‫ﻳﺘﻢ ﺍﺧﺘﻴﺎﺭ ﺍﲡﺎﻩ ﺍﻷﻋﺼﺎﺏ ﺃﻱ ﺍﲡﺎﻩ ﻋﻤﻞ ﺍﻟﺒﻼﻃﺔ ﻭﺑﺎﻟﺘﺎﱄ ﺻﻒ ﻭﺗﻮﺯﻳﻊ ﺍﳍﻮﺭﺩﻱ ﻭﻓﻖ ﻋﺪﺓ ﻣﻌـﺎﻳﲑ ﺇﻧﺸـﺎﺋﻴﺔ‬ ‫ﻭﺍﻗﺘﺼﺎﺩﻳﺔ ﻳﺘﻮﺟﺐ ﻣﺮﺍﻋﺎ‪‬ﺎ ﻭﺍﳌﻔﺎﺿﻠﺔ ﻓﻴﻤﺎ ﺑﻴﻨﻬﺎ ﻗﺪﺭ ﺍﻹﻣﻜﺎﻥ ﺍﺳﺘﻨﺎﺩﺍﹰ ﺇﱃ ﻗﺎﻋﺪﺓ ﲣﻔﻴﻒ ﺍﳉﻬﻮﺩ ﺍﳌﺘﻮﻟـﺪﺓ ﰲ ﻣﻘـﺎﻃﻊ‬ ‫ﺍﳉﻮﺍﺋﺰ ﺍﳊﺎﻣﻠﺔ ‪ ،‬ﻧﺬﻛﺮ ﻣﻨﻬﺎ ‪:‬‬ ‫‪-‬‬

‫ﺗﻮﺯﻳﻊ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻩ ﺍﻟﻔﺘﺤﺔ ﺍﻟﻈﻔﺮﻳﺔ ﰲ ﺍﻟﺒﻼﻃﺔ ‪.‬‬

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‫ﺗﻮﺯﻳﻊ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻩ ﺍ‪‬ﺎﺯﺍﺕ ﺍﻟﻄﻮﻳﻠﺔ ﻭﺍﳉﻮﺍﺋﺰ ﺍﳊﺎﻣﻠﺔ ﳍﺎ ﺑﺎﲡﺎﻩ ﺍ‪‬ﺎﺯﺍﺕ ﺍﻟﻘﺼﲑﺓ ‪.‬‬

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‫ﺗﻮﺯﻳﻊ ﺍﳉﻮﺍﺋﺰ ﺍﳊﺎﻣﻠﺔ ﻟﻸﻋﺼﺎﺏ ﲝﻴﺚ ﺗﻜﻮﻥ ﻣﺴﺘﻤﺮﺓ ﺑﺎﲡﺎﻩ ﺃﻛﱪ ﻋﺪﺩ ﳑﻜﻦ ﻣﻦ ﺍﻟﻔﺘﺤﺎﺕ ‪.‬‬

‫ﻳﺘﻢ ﲢﺪﻳﺪ ﺍﻟﺴﻤﺎﻛﺔ ﺍﻟﻜﻠﻴﺔ ) ‪ ( t‬ﻟﻠﺒﻼﻃﺔ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ﺍﻟﱵ ﻻ ﻳﺰﻳﺪ ﻓﻴﻬﺎ ﺍﻟﺘﺒﺎﻋـﺪ ﺑـﲔ ﳏـﺎﻭﺭ‬ ‫ﺍﻷﻋﺼﺎﺏ ﻋﻦ ) ‪ ( 700 mm‬ﰲ ﺣﺎﻝ ﺍﺳﺘﺨﺪﺍﻡ ﻗﻮﺍﻟﺐ ﺩﺍﺋﻤﺔ ﺃﻭ ﰲ ﺣﺎﻝ ﺍﺳﺘﺨﺪﺍﻡ ﺑﻼﻃﺎﺕ ﻣﻔﺮﻏﺔ ﻣﺴﺒﻘﺔ ﺍﻟﺼﻨﻊ ‪ ،‬ﻭﻻ‬ ‫ﻳﺰﻳﺪ ﻋﺮﺽ ﺍﻟﻔﺮﺍﻍ ﺍﻟﻮﺍﺣﺪ ﻓﻴﻬﺎ ﻋﻦ ) ‪ ، ( 500 mm‬ﻭﺫﻟﻚ ﺑﻌﺪ ﺍﺧﺘﻴﺎﺭ ﻭﲢﺪﻳﺪ ﺍﲡﺎﻩ ﺗﻮﺯﻳﻊ ﺍﻷﻋﺼﺎﺏ ﻭﺍﳉﻮﺍﺋﺰ ﺗﺒﻌـﺎﹰ‬ ‫ﻻﺧﺘﻴﺎﺭ ﲨﻠﺔ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺨﻔﻴﺔ ﺃﻭ ﲨﻠﺔ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺪﻟﻴﺔ ﻭﻓﻖ ﻣﺎ ﻳﻠﻲ ‪:‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪78‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫‪-‬‬

‫ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺪﻟﻴﺔ ﺍﻟﱵ ﲰﻜﻬﺎ ﻻ ﻳﻘﻞ ﻋﻦ ﺿﻌﻒ ﲰﻚ ﺍﻟﺒﻼﻃﺔ ﻳﺘﻢ ﲢﺪﻳﺪ ﺍﻟﺴﻤﺎﻛﺔ ﺍﻟﺪﻧﻴﺎ‬ ‫ﻟﻠﺒﻼﻃﺔ ﺗﺒﻌﺎﹰ ﻟﻠﺴﻤﺎﻛﺔ ﺍﻟﺪﻧﻴﺎ ﻟﻸﻋﺼﺎﺏ ﺃﻣﺎ ﺍﳉﻮﺍﺋﺰ ﻓﻴﺤﺪﺩ ﲰﻜﻬﺎ ﻭﻓﻖ ﺍﻟﺴﻤﻚ ﺍﻷﺩﱏ ﻟﻠﺠﻮﺍﺋﺰ ﺍﳌﺘﺪﻟﻴﺔ ﻋﻠﻰ ﺃﻻ‬ ‫ﻳﻘﻞ ﻋﻦ ﺿﻌﻒ ﲰﻚ ﺍﻟﺒﻼﻃﺔ ‪.‬‬

‫‪-‬‬

‫ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺨﻔﻴﺔ ﺍﻟﱵ ﳍﺎ ﲰﻚ ﺍﻟﺒﻼﻃﺔ ﺫﺍﺗﻪ ﻳﺘﻢ ﲢﺪﻳﺪ ﺍﻟﺴﻤﺎﻛﺔ ﺍﻟﺪﻧﻴﺎ ﺗﺒﻌﺎﹰ ﻟﻸﻋﺼـﺎﺏ‬ ‫ﻭﺍﻟﺴﻤﺎﻛﺔ ﺍﻟﺪﻧﻴﺎ ﺗﺒﻌﺎﹰ ﻟﻠﺠﻮﺍﺋﺰ ﻭﺗﻌﺘﻤﺪ ﺍﻟﻘﻴﻤﺔ ﺍﻷﻛﱪ ﺑﻴﻨﻬﻤﺎ ‪.‬‬

‫ﻳﻌﻄﻲ ﺍﳉﺪﻭﻝ )‪ (1-4‬ﺍﻟﺴﻤﺎﻛﺔ ﺍﻟﺪﻧﻴﺎ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ﺍﺳﺘﻨﺎﺩﺍﹰ ﺇﱃ ﻧﻮﻉ ﺍﳉـﻮﺍﺋﺰ ﺍﳊﺎﻣﻠـﺔ‬ ‫ﻭﺍﺳﺘﻤﺮﺍﺭﻳﺔ ﺍﻟﻌﺼﺐ ‪ ،‬ﻋﻠﻤﺎﹰ ﺃﻥ ﺍ‪‬ﺎﺯ ) ‪ ( L‬ﻫﻮ ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌﺎﻝ ﻟﻠﻌﺼﺐ ﰲ ﺍﲡﺎﻩ ﻋﻤﻞ ﺍﻟﺒﻼﻃﺔ ﺍﳌﻔﺮﻏﺔ ‪.‬‬ ‫ﺍﳉﺪﻭﻝ ) ‪ ( 1-4‬ﺍﻟﺴﻤﻚ ﺍﻷﺩﱏ ﻟﻠﺒﻼﻃﺔ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﻧﻮﻉ ﺍﳉﻮﺍﺋﺰ‬ ‫ﺍﳊﺎﻣﻠﺔ‬ ‫ﺍﻟﺴﻤﻚ‬ ‫ﺍﻷﺩﱏ‬ ‫)‪(t‬‬

‫ﻧﻮﻉ ﺍﺳﺘﻨﺎﺩ ﺍﻟﺒﻼﻃﺔ‬ ‫ﺍﺳﺘﻨﺎﺩ‬ ‫ﺑﺴﻴﻂ‬

‫ﻣﺴﺘﻤﺮﺓ ﻣﻦ ﻣﺴﺘﻤﺮﺓ ﻣﻦ‬ ‫ﻃﺮﻑ ﻭﺍﺣﺪ ﻃﺮﻓﲔ‬

‫ﻇﻔﺮﻳﺔ‬

‫ﺟﻮﺍﺋﺰ ﻣﺘﺪﻟﻴﺔ‬

‫‪L / 20‬‬

‫‪L / 22‬‬

‫‪L / 25‬‬

‫‪L/8‬‬

‫ﺟﻮﺍﺋﺰ ﳐﻔﻴﺔ‬

‫‪L / 16‬‬

‫‪L / 18‬‬

‫‪L / 20‬‬

‫‪L/8‬‬

‫ﻻ ﺗﻘﻞ ﲰﺎﻛﺔ ﺑﻼﻃﺔ ﺍﻟﺘﻐﻄﻴﺔ ﻋﻦ ﺍﻟﻘﻴﻤﺔ ﺍﻷﻛﱪ ﺑﲔ ﺍﻟﻘﻴﻢ ﺍﻟﺘﺎﻟﻴﺔ ‪:‬‬ ‫•‬

‫‪1‬‬ ‫‪10‬‬

‫ﺍﳌﺴﺎﻓﺔ ﺑﲔ ﳏﺎﻭﺭ ﺍﻷﻋﺼﺎﺏ‪.‬‬

‫• ‪ 60 mm‬ﰲ ﺣﺎﻟﺔ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻟﻘﻮﺍﻟﺐ ﺍﳌﺆﻗﺘﺔ‬ ‫• ‪ 50 mm‬ﰲ ﺣﺎﻟﺔ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻟﻘﻮﺍﻟﺐ ﺍﻟﺪﺍﺋﻤﺔ ﻣﻦ ﺍﻟﻘﺮﻣﻴﺪ ﺍﳌﻔﺮﻍ‪.‬‬ ‫• ‪ 50 mm‬ﰲ ﺣﺎﻟﺔ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﻣﺴﺒﻘﺔ ﺍﻟﺼﻨﻊ‪.‬‬ ‫ﻻ ﻳﻘﻞ ﺍﻻﺭﺗﻔﺎﻉ ﺍﻟﻜﻠﻲ ﻟﻠﻌﺼﺐ ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﻋﻦ ﲰﺎﻛﺔ ﺑﻼﻃﺔ ﺍﻟﺘﻐﻄﻴﺔ ﻣﻀﺎﻓﺎﹰ ﺇﻟﻴﻬﺎ ‪. 100 mm‬‬ ‫ﻻ ﻳﻘﻞ ﺍﻟﻌﺮﺽ ﺍﻷﺩﱏ ﻟﻠﻌﺼﺐ ﻋﻦ ‪ 100 mm‬ﺃﻭ‬

‫‪1‬‬ ‫‪3‬‬

‫ﺍﻻﺭﺗﻔﺎﻉ ﺍﻟﻜﻠﻲ‪ ،‬ﺃﻳﻬﻤﺎ ﺃﻛﱪ‪.‬‬

‫ﻋﻨﺪﻣﺎ ﺗﺴﺘﻨﺪ ﺍﻷﻋﺼﺎﺏ ﻋﻠﻰ ﺟﺎﺋﺰ ﻣﺘﺪﻝﹴ ﺃﻭ ﻣﻘﻠﻮﺏ ﺃﻭ ﻋﻠﻰ ﺟﺪﺍﺭ ﻓﻴﺠﺐ ﺃﻥ ﻳﻜﻮﻥ ﺟﺰﺀ ﺍﻟﻌﺼـﺐ ﺍﳌـﻮﺍﺯﻱ‬ ‫ﻟﻠﻤﺴﻨﺪ ﻣﻠﻴﺌﺎﹰ ) ﻣﺼﻤﺘﺎﹰ ( ﺑﻌﺮﺽ ﻻ ﻳﻘﻞ ﻋﻦ ‪.150 mm‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪79‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﻛﻤﺎ ﳛﺪﺩ ﺍﻟﺴﻤﻚ ﺍﻷﺩﱏ ) ‪ ( h‬ﻟﻠﺠﻮﺍﺋﺰ ﺗﺒﻌﺎﹰ ﻟﻄﺒﻴﻌﺔ ﺍﺳﺘﻨﺎﺩﻫﺎ ﻭﺍﺳﺘﻤﺮﺍﺭﻫﺎ ﻭ ﻟﻘﻴﻤﺔ ﳎﺎﺯﺍ‪‬ﺎ ﺍﻟﻔﻌﺎﻟﺔ ) ‪ , ( L‬ﲟﺎ ﻻ‬ ‫ﻳﻘﻞ ﻋﻦ ﺍﻟﻨﺴﺐ ﺍﻟﻮﺍﺭﺩﺓ ﰲ ﺍﳉﺪﻭﻝ )‪ , (2-4‬ﺇﻻ ﺇﺫﺍ ﰎﹼ ﺣﺴﺎﺏ ﺍﻟﺴﻬﻢ ﻭﺍﻟﺘﺄﻛﺪ ﻣﻦ ﻋﺪﻡ ﲡﺎﻭﺯﻩ ﻟﻠﻘﻴﻢ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ ﻭﺍﻟﱵ‬ ‫ﻳﻌﻄﻴﻬﺎ ﺍﻟﻜﻮﺩ ﺍﻟﻌﺮﰊ ﺍﻟﺴﻮﺭﻱ ﰲ ﺍﻟﺒﻨﺪ )‪. (5-10‬‬ ‫ﺍﳉﺪﻭﻝ ) ‪ ( 2-4‬ﺍﻟﺴﻤﻚ ﺍﻷﺩﱏ ﻟﻠﺠﻮﺍﺋﺰ‬

‫ﻧﻮﻉ ﺍﳉﺎﺋﺰ‬

‫ﺍﳌﻘﺎﻭﻣﺔ ﺍﳌﻤﻴﺰﺓ‬ ‫ﻟﻠﺒﻴﺘﻮﻥ‬ ‫) ‪( MPa‬‬

‫ﺍﻟﺴﻤﻚ‬ ‫ﺍﻷﺩﱏ‬ ‫)‪(h‬‬

‫ﻣﺘﺪﱄ‬ ‫ﳐﻔﻲ‬

‫ﻧﻮﻉ ﺍﺳﺘﻨﺎﺩ ﺍﳉﺎﺋﺰ‬

‫‪f 'c < 20‬‬

‫ﺑﺴﻴﻂ‬

‫ﻣﺴﺘﻤﺮ ﻣﻦ‬ ‫ﻣﺴﺘﻤﺮ ﻣﻦ‬ ‫ﻃﺮﻑ‬ ‫ﻃﺮﻓﲔ‬ ‫ﻭﺍﺣﺪ‬

‫ﻇﻔﺮ‬

‫‪L / 12‬‬

‫‪L / 13‬‬

‫‪L / 14‬‬

‫‪L/6‬‬

‫‪f 'c ≥ 20‬‬

‫‪L / 14‬‬

‫‪L / 15‬‬

‫‪L / 16‬‬

‫‪L/6‬‬

‫‪f 'c < 20‬‬

‫‪L / 14‬‬

‫‪L / 16‬‬

‫‪L / 18‬‬

‫‪L/8‬‬

‫‪f 'c ≥ 20‬‬

‫‪L / 16‬‬

‫‪L / 18‬‬

‫‪L / 120‬‬

‫‪L/8‬‬

‫‪ 3-4‬ﺍﳊﻤﻮﻻﺕ ﺍﳌﺆﺛﺮﺓ ﻋﻠﻰ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ‪:‬‬ ‫‪ 1-3-4‬ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ ‪:‬‬ ‫ﺗﺘﺄﻟﻒ ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ ﻣﻦ ‪:‬‬ ‫‪ -1‬ﺍﻷﻭﺯﺍﻥ ﺍﻟﺬﺍﺗﻴﺔ ﻟﻠﺒﻼﻃﺔ ﻭﺗﺘﻀﻤﻦ ﺃﻭﺯﺍﻥ ﺍﻷﻋﺼﺎﺏ ‪ ،‬ﻭﺑﻼﻃﺔ ﺍﻟﺘﻐﻄﻴﺔ ) ﺑﻼﻃﺔ ﺍﻟﻀﻐﻂ ( ‪ ،‬ﻭﺍﻟﻘﻮﺍﻟﺐ ﺍﻟﺪﺍﺋﻤﺔ ‪.‬‬ ‫‪ -2‬ﺃﻭﺯﺍﻥ ﻃﺒﻘﺔ ﺍﻟﺘﻐﻄﻴﺔ ﻭﺗﺘﻀﻤﻦ ﻭﺯﻥ ﻣﻮﺍﺩ ﺍﻟﺮﻙ ﻭﺍﻟﺘﺴﻮﻳﺔ ‪ ،‬ﻭﺍﳌﻮﻧﺔ ﺍﻻﲰﻨﺘﻴﺔ ‪ ،‬ﻭﺑﻼﻁ ﺍﻹﻛﺴﺎﺀ ‪.‬‬ ‫‪ -3‬ﺃﻭﺯﺍﻥ ﺍﻟﻘﻮﺍﻃﻊ ﻭﺍﳉﺪﺭﺍﻥ ﻭ ﺇﻛﺴﺎﺀ ﺍﻟﻮﺍﺟﻬﺎﺕ ﻭﻛﻞ ﺍﻟﻌﻨﺎﺻﺮ ﺍﳌﺜﺒﺘﺔ ﻋﻠﻴﻬﺎ ‪.‬‬ ‫ﻭﻟﺘﺤﺪﻳﺪ ﺍﻷﻭﺯﺍﻥ ﺍﻟﺬﺍﺗﻴﺔ ﳝﻜﻦ ﺍﻟﻌﻮﺩﺓ ﺇﱃ ﺍﻟﺒﻨﺪ )‪ (1-3-2‬ﺍﻟﻌﺎﺋﺪ ﻟﺪﺭﺍﺳﺔ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ‪.‬‬ ‫ﻳﻌﻄﻲ ﺍﳉﺪﻭﻝ )‪ (3-4‬ﻗﻴﺎﺱ ﻭﺃﻭﺯﺍﻥ ﻗﻮﺍﻟﺐ ﺍﳍﻮﺭﺩﻱ ﺍﳌﺼﻨﻌﺔ ﻣﻦ ﺍﻟﺒﺤﺺ ﺍﳌﻜﺴﺮ ﻭﺍﻻﲰﻨﺖ ‪ ،‬ﻭ ﻗﻴـﺎﺱ ﻭﺃﻭﺯﺍﻥ‬ ‫ﻗﻮﺍﻟﺐ ﺍﳍﻮﺭﺩﻱ ﺍﳌﺼﻨﻌﺔ ﻣﻦ ﺍﻵﺟﺮ ﺍﻷﻛﺜﺮ ﺍﺳﺘﺨﺪﺍﻣﺎﹰ ﻭﺗﻮﻓﺮﺍﹰ ﰲ ﺍﻟﺴﻮﻕ ﺍﶈﻠﻴﺔ ‪ .‬ﻋﻨﺪ ﺍﻟﻀﺮﻭﺭﺓ ﳝﻜﻦ ﻃﻠﺐ ﺗﺼﻨﻴﻊ ﻗﻮﺍﻟﺐ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪80‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﲟﻘﺎﻳﻴﺲ ﺧﺎﺻﺔ ﺑﺎﳌﺸﺮﻭﻉ ﺍﳌﺪﺭﻭﺱ ﻭﻳﺘﻢ ﻋﻨﺪﻫﺎ ﺣﺴﺎﺏ ﺃﻭﺯﺍﻥ ﺍﻟﻘﻮﺍﻟﺐ ﺍﻟﺪﺍﺋﻤﺔ ‪ ،‬ﻛﻤﺎ ﳝﻜﻦ ﻋﻤﻠﻴﺎ ﺃﺧـﺬ ﺍﳌﺘﻮﺳـﻂ‬ ‫ﺍﳊﺴﺎﰊ ﻷﻭﺯﺍﻥ ﻋﺪﺩ ﳏﺪﻭﺩ ﻣﻦ ﻗﻮﺍﻟﺐ ﺍﳍﻮﺭﺩﻱ ‪.‬‬ ‫ﺍﳉﺪﻭﻝ ) ‪ ( 3-4‬ﺃﺑﻌﺎﺩ ﻭﺃﻭﺯﺍﻥ ﻗﻮﺍﻟﺐ ﺑﻠﻮﻙ ﺍﳍﻮﺭﺩﻱ ﺍﻻﲰﻨﺘﻴﺔ‬

‫‪h1‬‬ ‫)‪(mm‬‬

‫ﻗﻮﺍﻟﺐ ﺑﻠﻮﻙ ﻫﻮﺭﺩﻱ ﺍﲰﻨﺘﻴﺔ‬

‫‪140‬‬ ‫‪160‬‬ ‫‪180‬‬ ‫‪200‬‬ ‫‪220‬‬ ‫‪240‬‬ ‫‪250‬‬ ‫‪260‬‬ ‫‪280‬‬ ‫‪300‬‬ ‫‪320‬‬ ‫‪340‬‬ ‫‪360‬‬ ‫‪140‬‬ ‫‪160‬‬ ‫‪180‬‬ ‫‪200‬‬ ‫‪220‬‬ ‫‪240‬‬ ‫‪250‬‬ ‫‪260‬‬ ‫‪280‬‬ ‫‪300‬‬ ‫‪320‬‬ ‫‪340‬‬ ‫‪360‬‬

‫‪Bl‬‬ ‫)‪(mm‬‬

‫‪350‬‬

‫‪380‬‬

‫‪bu‬‬ ‫)‪(mm‬‬

‫‪320‬‬

‫‪350‬‬

‫ﺍﻟﻮﺯﻥ‬ ‫‪t = 20‬‬ ‫‪mm‬‬ ‫‪0.094‬‬ ‫‪0.100‬‬ ‫‪0.106‬‬ ‫‪0.112‬‬ ‫‪0.118‬‬ ‫‪0.124‬‬ ‫‪0.127‬‬ ‫‪0.130‬‬ ‫‪0.136‬‬ ‫‪0.142‬‬ ‫‪0.148‬‬ ‫‪0.154‬‬ ‫‪0.160‬‬ ‫‪0.010‬‬ ‫‪0.106‬‬ ‫‪0.112‬‬ ‫‪0.118‬‬ ‫‪0.124‬‬ ‫‪0.130‬‬ ‫‪0.133‬‬ ‫‪0.136‬‬ ‫‪0.142‬‬ ‫‪0.148‬‬ ‫‪0.154‬‬ ‫‪0.160‬‬ ‫‪0.166‬‬

‫)‪(KN‬‬ ‫‪t = 30‬‬ ‫‪mm‬‬ ‫‪0.109‬‬ ‫‪0.116‬‬ ‫‪0.124‬‬ ‫‪0.131‬‬ ‫‪0.138‬‬ ‫‪0.145‬‬ ‫‪0.149‬‬ ‫‪0.152‬‬ ‫‪0.160‬‬ ‫‪0.167‬‬ ‫‪0.174‬‬ ‫‪0.181‬‬ ‫‪0.188‬‬ ‫‪0.116‬‬ ‫‪0.124‬‬ ‫‪0.131‬‬ ‫‪0.138‬‬ ‫‪0.145‬‬ ‫‪0.152‬‬ ‫‪0.156‬‬ ‫‪0.160‬‬ ‫‪0.167‬‬ ‫‪0.174‬‬ ‫‪0.181‬‬ ‫‪0.188‬‬ ‫‪0.196‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪81‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺗﺎﺑﻊ ﺍﳉﺪﻭﻝ ) ‪ ( 3-4‬ﺃﺑﻌﺎﺩ ﻭﺃﻭﺯﺍﻥ ﻗﻮﺍﻟﺐ ﺑﻠﻮﻙ ﺍﳍﻮﺭﺩﻱ ﻭﺍﻵﺟﺮﻳﺔ‬

‫‪h1‬‬ ‫)‪(mm‬‬

‫)‪(KN‬‬

‫‪110‬‬

‫‪0.055‬‬

‫‪140‬‬

‫‪0.070‬‬

‫‪150‬‬

‫‪0.074‬‬

‫‪170‬‬

‫ﻗﻮﺍﻟﺐ ﺑﻠﻮﻙ ﻫﻮﺭﺩﻱ ﺁﺟﺮﻳﺔ‬

‫‪Bl‬‬ ‫)‪(mm‬‬

‫‪bu‬‬ ‫)‪(mm‬‬

‫ﺍﻟﻮﺯﻥ‬

‫‪400‬‬

‫‪370‬‬

‫‪0.080‬‬

‫‪180‬‬

‫‪0.090‬‬

‫‪200‬‬

‫‪0.100‬‬

‫‪240‬‬

‫‪0.127‬‬

‫‪240‬‬

‫‪350‬‬

‫‪320‬‬

‫‪0.111‬‬

‫ﺗﻘﺪﺭ ﺍﻷﲪﺎﻝ ﺍﳌﻜﺎﻓﺌﺔ ﻟﻠﺠﺪﺭﺍﻥ ﻭﺍﻟﻘﻮﺍﻃﻊ ﺍﳋﻔﻴﻔﺔ ﻛﻤﺎ ﻫﻮ ﺍﳊﺎﻝ ﺑﺎﻟﻨﺴﺒﺔ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬ ‫ﻭﺍﳌﻨﺼﻮﺹ ﻋﻨﻬﺎ ﰲ ﺍﻟﻔﻘﺮﺓ ) ﺝ‪ ( 1-‬ﻣﻦ ﺍﻟﺒﻨﺪ )‪ ، (1-3-2‬ﺃﻣﺎ ﺍﻷﲪﺎﻝ ﺍﳌﻜﺎﻓﺌﺔ ﻟﻠﻘﻮﺍﻃﻊ ﻭﺍﳉﺪﺭﺍﻥ ﺍﻟﺜﻘﻴﻠﺔ ﻓﺘﻘﺪﺭ ﻛﻤﺎ‬ ‫ﻫﻮ ﻣﻌﻄﻰ ﰲ ﺍﻟﻔﻘﺮﺓ) ﺝ – ‪ ( 2‬ﻣﻦ ﺍﻟﺒﻨﺪ )‪ (1-3-2‬ﺷﺮﻳﻄﺔ ﺃﻻ ﺗﺰﻳﺪ ﻗﻴﻤﺔ ﺍﻟﻌﺮﺽ ﺍﻟﻔﻌﺎﻝ ) ‪ ( e‬ﻋﻦ ﺛﻼﺛﺔ ﺃﻣﺘﺎﺭ ‪.‬‬ ‫‪ 2-3-4‬ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ‪:‬‬ ‫ﺗﻘﺪﺭ ﻭﲢﺴﺐ ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ﻛﻤﺎ ﻫﻮ ﻭﺍﺭﺩ ﰲ ﺍﻟﺒﻨﺪ )‪ (2-3-2‬ﺍﳋﺎﺹ ﺑﺎﻟﺒﻼﻃﺎﺕ ﺍﳌﺼـﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡـﺎﻩ‬ ‫ﺍﻟﻮﺍﺣﺪ ‪.‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪82‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﻣﺜﺎﻝ ﺗﻮﺿﻴﺤﻲ ﰲ ﺗﻘﺪﻳﺮ ﻭﺣﺴﺎﺏ ﺍﳊﻤﻮﻻﺕ ‪:‬‬ ‫ﺗﻘﺪﺭ ﺍﳊﻤﻮﻻﺕ ﻋﻠﻰ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺑﺎﲡﺎﻩ ﻭﺍﺣﺪ ﺑﺈﺣﺪﻯ ﺍﻟﻄﺮﻳﻘﺘﲔ ﺍﻟﺘﺎﻟﻴﺘﲔ ‪:‬‬ ‫ﺍﻟﻄﺮﻳﻘﺔ ﺍﻷﻭﱃ ‪ :‬ﻋﻨﺪ ﺩﺭﺍﺳﺔ ﺷﺮﳛﺔ ﻣﺘﺮﻳﺔ ﻛﻤﺎ ﻫﻮ ﺍﳊﺎﻝ ﺑﺎﻟﻨﺴﺒﺔ ﺇﱃ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣـﺪ ﺗﻘـﺪﺭ‬ ‫ﺍﳊﻤﻮﻻﺕ ﺍﳌﻮﺯﻋﺔ ﺑﺎﻧﺘﻈﺎﻡ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ ﺍﻟﻮﺍﺣﺪ ﻣﻦ ﺍﻟﺒﻼﻃﺔ ﻛﻤﺎ ﻳﻠﻲ ‪:‬‬ ‫ ﻭﺯﻥ ﺑﻼﻃﺔ ﺍﻟﺘﻐﻄﻴﺔ‬‫ ﻭﺯﻥ ﺍﻟﻘﺴﻢ ﺍﳌﺘﺪﱄ ﻣﻦ ﺍﻟﻌﺼﺐ‬‫ ﻭﺯﻥ ﺍﻟﻘﻮﺍﻟﺐ ﺍﻟﺪﺍﺋﻤﺔ‬‫ ﻭﺯﻥ ﻃﺒﻘﺔ ﺍﻟﺘﻐﻄﻴﺔ‬‫ ﺍﳊﻤﻞ ﺍﳌﻜﺎﻓﺊ ﻟﻠﺠﺪﺭﺍﻥ ﻭﺍﻟﻘﻮﺍﻃﻊ‬‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ ﺍﻟﻮﺍﺣﺪ‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﻜﻠﻴﺔ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ ﺍﻟﻮﺍﺣﺪ‬

‫‪G1 = t f ⋅ γ c‬‬ ‫‪1‬‬ ‫‪S‬‬

‫⋅ ‪G 2 = bw ⋅ ( t − t f ) ⋅ γ c‬‬ ‫‪G 3 = n ⋅Wb‬‬ ‫‪G4‬‬

‫‪i‬‬

‫‪∑G‬‬

‫‪G5‬‬ ‫=‪G‬‬ ‫‪P‬‬

‫‪W =G + P‬‬

‫ﻭﳝﻜﻦ ﲢﻮﻳﻞ ﲪﻮﻻﺕ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ ﺍﻟﻮﺍﺣﺪ ﺇﱃ ﲪﻮﻟﺔ ﻣﻮﺯﻋﺔ ﺑﺎﻧﺘﻈﺎﻡ ﻋﻠﻰ ﺍﻟﻌﺼﺐ ﺍﻟﻮﺍﺣﺪ ﺑﻀﺮﺏ ﻗﻴﻤﺔ ﺗﻠﻚ ﺍﳊﻤﻮﻻﺕ‬ ‫ﺑﺎﳌﺴﺎﻓﺔ ﺍﻟﻔﺎﺻﻠﺔ ﺑﲔ ﳏﺎﻭﺭ ﺍﻷﻋﺼﺎﺏ ﺍﳌﺘﺠﺎﻭﺭﺓ ﻋﻠﻰ ﺍﻟﻨﺤﻮ ﺍﻟﺘﺎﱄ ‪:‬‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﻟﻄﻮﱄ ﻣﻦ ﺍﻟﻌﺼﺐ‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﻟﻄﻮﱄ ﻣﻦ ﺍﻟﻌﺼﺐ‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﻜﻠﻴﺔ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﻟﻄﻮﱄ ﻣﻦ ﺍﻟﻌﺼﺐ‬

‫‪g = S ⋅G‬‬ ‫‪p =S ⋅P‬‬ ‫‪w = ( g + p ) = S .W‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪83‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﻄﺮﻳﻘﺔ ﺍﻟﺜﺎﻧﻴﺔ ‪ :‬ﺩﺭﺍﺳﺔ ﺍﳊﻤﻮﻻﺕ ﺍﳌﻄﺒﻘﺔ ﻣﺒﺎﺷﺮﺓﹰ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﻟﻄﻮﱄ ﻣﻦ ﺍﻟﻌﺼﺐ ‪.‬‬ ‫ ﻭﺯﻥ ﺑﻼﻃﺔ ﺍﻟﺘﻐﻄﻴﺔ‬‫ ﻭﺯﻥ ﺍﻟﻘﺴﻢ ﺍﳌﺘﺪﱄ ﻣﻦ ﺍﻟﻌﺼﺐ‬‫ ﻭﺯﻥ ﺍﻟﻘﻮﺍﻟﺐ ﺍﻟﺪﺍﺋﻤﺔ‬‫ ﻭﺯﻥ ﻃﺒﻘﺔ ﺍﻟﺘﻐﻄﻴﺔ‬‫ ﺍﳊﻤﻞ ﺍﳌﻜﺎﻓﺊ ﻟﻠﺠﺪﺭﺍﻥ ﻭﺍﻟﻘﻮﺍﻃﻊ‬‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﻟﻄﻮﱄ ﻣﻦ ﺍﻟﻌﺼﺐ‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﻟﻄﻮﱄ ﻣﻦ ﺍﻟﻌﺼﺐ‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﻜﻠﻴﺔ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﻟﻄﻮﱄ ﻣﻦ ﺍﻟﻌﺼﺐ‬

‫‪g 1 = S .t f . γ c‬‬ ‫‪g 2 =bw .( t −t f ) ⋅γ c‬‬ ‫‪g 3 = n ⋅Wb‬‬ ‫‪g 4 =G 4 . S‬‬ ‫‪g 5 =G 5 .S‬‬ ‫‪i‬‬

‫‪∑g‬‬

‫=‪g‬‬

‫‪p = P .S‬‬

‫‪w =g + p‬‬

‫ﺣﻴﺚ ‪ γ c :‬ﺍﻟﻮﺯﻥ ﺍﳊﺠﻤﻲ ﻟﻠﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ‬ ‫‪ S‬ﺍﳌﺴﺎﻓﺔ ﺑﲔ ﳏﺎﻭﺭ ﺍﻷﻋﺼﺎﺏ ﺍﳌﺘﺠﺎﻭﺭﺓ‬ ‫‪ t‬ﺍﻟﺴﻤﻚ ﺍﻟﻜﻠﻲ ﻟﻠﺒﻼﻃﺔ ﺍﳌﻔﺮﻏﺔ‬ ‫‪ t f‬ﲰﻚ ﺑﻼﻃﺔ ﺍﻟﺘﻐﻄﻴﺔ‬ ‫‪ bw‬ﺍﻟﻌﺮﺽ ﺍﻟﻮﺳﻄﻲ ﳉﺬﻉ ﺍﻟﻌﺼﺐ‬ ‫‪ Wb‬ﻭﺯﻥ ﺍﻟﻘﺎﻟﺐ ﺍﳌﻔﺮﻍ‬ ‫‪ n‬ﻋﺪﺩ ﺍﻟﻘﻮﺍﻟﺐ ﺍﳌﻔﺮﻏﺔ ﺍﳌﺘﻮﻓﺮﺓ ﰲ ﺍﳊﻴﺰ ﺍﳌﺪﺭﻭﺱ‬ ‫‪ 4-4‬ﺣﺴﺎﺏ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ‪:‬‬ ‫ﳚﺮﻱ ﺣﺴﺎﺏ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ﻋﻠﻰ ﻣﺮﺣﻠﺘﲔ ‪:‬‬ ‫ﺍﻷﻭﱃ – ﻭﻫﻲ ﻣﺮﺣﻠﺔ ﺍﻟﺘﺤﻠﻴﻞ ﺣﻴﺚ ﻳﺘﻢ ﺣﺴﺎﺏ ﺍﻟﻘﻮﻯ ) ﻋﺰﻭﻡ ﺍﻧﻌﻄﺎﻑ ﻭﻗﻮﻯ ﻗﺎﺻﺔ ﰲ ﻣﻘﺎﻃﻊ ﺍﻷﻋﺼـﺎﺏ‬ ‫ﺍﻟﺒﺴﻴﻄﺔ ﺃﻭ ﺍﳌﺴﺘﻤﺮﺓ ﺍﻟﻨﺎﲨﺔ ﻋﻦ ﺗﻄﺒﻴﻖ ﺃﲪﺎﻝ ﺍﻻﺳﺘﺜﻤﺎﺭ ﺃﻭ ﺍﻷﲪﺎﻝ ﺍﻟﻘﺼﻮﻯ ) ﺍﳌﺼﻌﺪﺓ ( ﺣﺴﺐ ﺍﳊﺎﻟﺔ ﺍﳌﺪﺭﻭﺳﺔ ‪.‬‬ ‫ﺍﻟﺜﺎﻧﻴﺔ – ﻭﻫﻲ ﻣﺮﺣﻠﺔ ﺣﺴﺎﺏ ﻣﻘﺎﻃﻊ ﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻔﻌﺎﻝ )‪ , (As‬ﺍﻟﻼﺯﻡ ﻟﻴﻐﻄﻲ ﺍﻟﻘﻮﻯ ﺍﳌﻄﺒﻘﺔ ﰲ ﺍﳌﻘـﺎﻃﻊ‬ ‫ﻭﻧﻈﺮﺍﹰ ﻟﻜﻮﻥ ﺍﳌﻘﻄﻊ ﺍﻟﻌﺮﺿﻲ ﻷﻋﺼﺎﺏ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﻋﻠﻰ ﺷﻜﻞ ﺗﻴﻪ ) ‪ ( T‬ﻓﻴﺘﻮﺟﺐ ﻣﺮﺍﻋﺎﺓ ﻭﺗﻄﺒﻴﻖ ﻛﺎﻓﺔ ﻗﻮﺍﻋـﺪ‬ ‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﻋﻠﻰ ﺷﻜﻞ ﺗﻴﻪ ) ‪ ، ( T‬ﻭﻋﻨﺪﻣﺎ ﺗﺆﻭﻝ ﺍﳊﺎﻟﺔ ﺍﳊﺴﺎﺑﻴﺔ ﺇﱃ ﺍﻋﺘﺒﺎﺭ ﺍﳌﻘﺎﻃﻊ ﻣﺴﺘﻄﻴﻠﺔ ﻳﺘﻮﺟﺐ ﻋﻨﺪﻫﺎ‬ ‫ﻣﺮﺍﻋﺎﺓ ﻭﺗﻄﺒﻴﻖ ﻛﺎﻓﺔ ﻗﻮﺍﻋﺪ ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﺍﳌﺴﺘﻄﻴﻠﺔ ‪.‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪84‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫‪ 1-4-4‬ﲢﻠﻴﻞ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬ ‫ﻳﺘﻢ ﲢﻠﻴﻞ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺑﺎﲡﺎﻩ ﻭﺍﺣﺪ ﺑﺄﺳﻠﻮﺏ ﲢﻠﻴﻞ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ﺍﳌﻮﺿﺤﺔ ﰲ ﺍﻟﺒﻨﺪ‬ ‫)‪ (1-4-2‬ﺃﻱ ﺑﺎﻋﺘﻤﺎﺩ ﺷﺮﳛﺔ ﺑﻌﺮﺽ ﻣﺘﺮ ﻭﺍﺣﺪ ﻋﻠﻰ ﺃﻥ ﻳﻮﺿﻊ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻼﺯﻡ ﺑﻌﺪ ﺍﻟﺘﺼﻤﻴﻢ ﰲ ﺍﻷﻋﺼﺎﺏ ﺍﻟﻮﺍﻗﻌﺔ ﺿﻤﻦ‬ ‫ﺍﻟﺸﺮﳛﺔ ﺍﳌﺘﺮﻳﺔ ﻭﺫﺍﺕ ﺍﻟﻨﺴﺒﺔ ﺍﻟﱵ ﻳﺸﻐﻠﻬﺎ ﺍﻟﻌﺼﺐ ﻣﻦ ﺍﻟﺸﺮﳛﺔ ﺍﳌﺘﺮﻳﺔ ﺃﻱ ‪. Asr = As ⋅ S‬‬ ‫ﻛﻤﺎ ﳝﻜﻦ ﺇﺗﺒﺎﻉ ﺫﺍﺕ ﺍﻟﻘﻮﺍﻋﺪ ﺑﺎﻋﺘﺒﺎﺭ ﺍﻟﺸﺮﳛﺔ ﺍﳌﺪﺭﻭﺳﺔ ﻣﺴﺎﻭﻳﺔ ﻟﻠﻤﺴﺎﻓﺔ ﺑﲔ ﺍﶈـﺎﻭﺭ ﺍﻟﻄﻮﻟﻴـﺔ ﻟﻸﻋﺼـﺎﺏ‬ ‫ﺍﳌﺘﺠﺎﻭﺭﺓ ﻭﻳﻮﺿﻊ ﺍﻟﺘﺴﻠﻴﺢ ﻋﻨﺪﻫﺎ ﺿﻤﻦ ﺍﻟﻌﺼﺐ ﺍﻟﻮﺍﺣﺪ ‪.‬‬ ‫‪ 2-4-4‬ﺗﺼﻤﻴﻢ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬ ‫ﻳﺘﻢ ﺗﺼﻤﻴﻢ ﻣﻘﺎﻃﻊ ﺍﻷﻋﺼﺎﺏ ﺑﻌﻼﻗﺎﺕ ﺗﺼﻤﻴﻢ ﺍﳉﻮﺍﺋﺰ ﻭﺫﻟﻚ ﺑﻌﺪ ﻣﻼﺣﻈﺔ ﻣﺎ ﻳﻠﻲ ‪:‬‬ ‫ﺍﳌﻘﺎﻃﻊ ﺍﳋﺎﺿﻌﺔ ﻟﻠﻌﺰﻭﻡ ﺍﳌﻮﺟﺒﺔ ‪:‬‬ ‫ ﰲ ﺣﺎﻝ ﲢﻘﻖ ﺍﺷﺘﺮﺍﻃﺎﺕ ﺍﳌﻘﻄﻊ ﺗﻴﻪ‬‫ﻭﺃﻛﱪ ﻣﻦ ‪ 60 mm‬ﳕﻴﺰ ﺣﺎﻟﺘﲔ ‪:‬‬

‫) ‪T‬‬

‫( ) ﲰﻚ ﺑﻼﻃﺔ ﺍﻟﻀﻐﻂ ﺃﻛﱪ ﺃﻭ ﺗﺴﺎﻭﻱ ﻋﺸﺮ ﺍﻻﺭﺗﻔﺎﻉ ﺍﻟﻜﻠﻲ ﻟﻠﻌﺼـﺐ‬

‫* ﻋﻨﺪﻣﺎ ﺍﶈﻮﺭ ﺍﶈﺎﻳﺪ ﻳﻘﻄﻊ ﺍﳉﺬﻉ ﻳﺘﻢ ﺩﺭﺍﺳﺔ ﻣﻘﺎﻃﻊ ﺍﻷﻋﺼﺎﺏ ﺑﻌﻼﻗﺎﺕ ﺍﳌﻘﺎﻃﻊ ﺗﻴﻪ ) ‪ ( T‬ﻣﻊ ﺍﻋﺘﺒﺎﺭ ﻋﺮﺽ ﺑﻼﻃﺔ‬ ‫ﺍﻟﻀﻐﻂ ﻣﺴﺎﻭﻳﺎﹰ ﻟﻠﻤﺴﺎﻓﺔ ﺑﲔ ﳏﺎﻭﺭ ﺍﻷﻋﺼﺎﺏ ﺍﳌﺘﺠﺎﻭﺭﺓ ) ‪ ( S‬ﻭﻋﺮﺽ ﺍﳉﺬﻉ ﻣﺴﺎﻭﻳﺎﹰ ﻟﻠﻌﺮﺽ ﺍﻟﻮﺳﻄﻲ ) ‪. ( bw‬‬ ‫* ﻋﻨﺪﻣﺎ ﺍﶈﻮﺭ ﺍﶈﺎﻳﺪ ﻳﻘﻊ ﺿﻤﻦ ﺑﻼﻃﺔ ﺍﻟﻀﻐﻂ ﻳﺘﻢ ﺩﺭﺍﺳﺔ ﻣﻘﻄﻊ ﺍﻟﻌﺼﺐ ﺑﻌﻼﻗﺎﺕ ﺍﳌﻘﺎﻃﻊ ﺍﳌﺴﺘﻄﻴﻠﺔ ﻣـﻊ ﺍﻋﺘﺒـﺎﺭ‬ ‫ﻋﺮﺽ ﺍﳌﻘﻄﻊ ﻣﺴﺎﻭﻳﺎﹰ ﻟﻌﺮﺽ ﺑﻼﻃﺔ ﺍﻟﻀﻐﻂ ‪ S‬ﻭﺍﺭﺗﻔﺎﻋﻪ ﻣﺴﺎﻭﻳﺎﹰ ﻟﻼﺭﺗﻔﺎﻉ ﺍﻟﻜﻠﻲ ﻟﻠﻌﺼﺐ ‪.‬‬ ‫ ﰲ ﺣﺎﻝ ﻋﺪﻡ ﲢﻘﻖ ﺍﺷﺘﺮﺍﻃﺎﺕ ﺍﳌﻘﻄﻊ ﺗﻴﻪ ) ‪ ) ( T‬ﲰﻜﻚ ﺑﻼﻃﺔ ﺍﻟﻀﻐﻂ ﺃﺻﻐﺮ ﻣﻦ ﻋﺸﺮ ﺍﻻﺭﺗﻔﺎﻉ ﺍﻟﻜﻠﻲ ﻟﻠﻌﺼﺐ ﺃﻭ‬‫ﺃﺻﻐﺮ ﻣﻦ ‪ ، 60 mm‬ﻳﺘﻢ ﺩﺭﺍﺳﺔ ﻣﻘﻄﻊ ﺍﻟﻌﺼﺐ ﺑﻌﻼﻗﺎﺕ ﺍﳌﻘﺎﻃﻊ ﺍﳌﺴﺘﻄﻴﻠﺔ ﻣﻊ ﺍﻋﺘﺒﺎﺭ ﻋﺮﺽ ﺍﳌﻘﻄﻊ ﻣﺴﺎﻭﻳﺎﹰ ﻟﻌﺮﺽ‬ ‫ﺟﺬﻉ ﺍﻟﻌﺼﺐ ‪ bw‬ﻭﺍﺭﺗﻔﺎﻋﻪ ﻣﺴﺎﻭﻳﺎﹰ ﻟﻼﺭﺗﻔﺎﻉ ﺍﻟﻜﻠﻲ ﻟﻠﻌﺼﺐ ‪.‬‬ ‫ﺍﳌﻘﺎﻃﻊ ﺍﳋﺎﺿﻌﺔ ﻟﻠﻌﺰﻭﻡ ﺍﻟﺴﺎﻟﺒﺔ ‪:‬‬ ‫ ﺗﺪﺭﺱ ﻣﻘﺎﻃﻊ ﺍﻷﻋﺼﺎﺏ ﺍﳋﺎﺿﻌﺔ ﻟﻠﻌﺰﻭﻡ ﺍﻟﺴﺎﻟﺒﺔ ﺃﻱ ﺍﻟﱵ ﺗﺘﻌﺮﺽ ﻓﻴﻬﺎ ﺑﻼﻃﺔ ﺍﻟﺘﻐﻄﻴﺔ ﺇﱃ ﺍﻟﺸﺪ ‪ ،‬ﻭﺟﺬﻉ ﺍﻟﻌﺼﺐ ﺇﱃ‬‫ﺍﻟﻀﻐﻂ ﺑﻘﻮﺍﻧﲔ ﺍﳌﻘﺎﻃﻊ ﺍﳌﺴﺘﻄﻴﻠﺔ ﻣﻊ ﺍﻋﺘﺒﺎﺭ ﻋﺮﺽ ﺍﳌﻘﻄﻊ ﻳﺴﺎﻭﻱ ﺍﻟﻌﺮﺽ ﺍﻟﻮﺳﻄﻲ ﻟﻠﻌﺼﺐ ) ‪ ( bw‬ﻭﺍﺭﺗﻔﺎﻋﻪ ﻳﺴﺎﻭﻱ‬ ‫ﺍﻻﺭﺗﻔﺎﻉ ﺍﻟﻜﻠﻲ ﻟﻠﻌﺼﺐ ‪.‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪85‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﳌﻘﺎﻃﻊ ﺍﳋﺎﺿﻌﺔ ﻟﻘﻮﻯ ﺍﻟﻘﺺ ‪:‬‬ ‫ ﺗﺪﺭﺱ ﻣﻘﺎﻃﻊ ﺍﻷﻋﺼﺎﺏ ﺍﳋﺎﺿﻌﺔ ﻟﻘﻮﻯ ﺍﻟﻘﺺ ﺑﺄﺳﻠﻮﺏ ﺩﺭﺍﺳﺔ ﺍﳉﻮﺍﺋﺰ ﻣﻊ ﺍﻋﺘﺒﺎﺭ ﻋﺮﺽ ﺍﳌﻘﻄﻊ ﻫﻮ ﺍﻟﻌﺮﺽ ﺍﻟﻮﺳﻄﻲ‬‫ﳉﺬﻉ ﺍﻟﻌﺼﺐ ‪ bw‬ﻭﺍﺭﺗﻔﺎﻋﻪ ﻫﻮ ﺍﻻﺭﺗﻔﺎﻉ ﺍﻟﻜﻠﻲ ﻟﻠﺒﻼﻃﺔ ﺍﳌﻔﺮﻏﺔ ) ‪. ( t‬‬ ‫ﻳﺘﻢ ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﺍﳊﺮﺟﺔ ﻟﻸﻋﺼﺎﺏ ﺍﺳﺘﻨﺎﺩﺍﹰ ﺇﱃ ﻣﻌﻄﻴﺎﺕ ﺍﻟﺘﺼﻤﻴﻢ ﻭﺍﻟﺘﺤﻘﻴﻖ ﺍﳌﺘﻮﻓﺮﺓ ﻭﻫﻲ ﻣﻮﺍﺻﻔﺎﺕ‬ ‫ﻭﺟﻮﺩﺓ ﻛﻞﹴ ﻣﻦ ﺍﻟﺒﻴﺘﻮﻥ ﻭﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ ‪ ،‬ﻗﻮﻯ ﺍﳌﻘﺎﻃﻊ )ﺍﻟﻨﺎﲡﺔ ﻋﻦ ﺃﲪﺎﻝ ﺍﻻﺳﺘﺜﻤﺎﺭ ﺃﻭ ﺍﻷﲪﺎﻝ ﺍﻟﻘﺼﻮﻯ )ﺍﳌﺼﻌﺪﺓ( ( ‪،‬‬ ‫ﺍﻷﺑﻌﺎﺩ ﺍﳍﻨﺪﺳﻴﺔ ﳌﻘﺎﻃﻊ ﺍﻷﻋﺼﺎﺏ ‪.‬‬ ‫ﻳﺘﻢ ﺗﺼﻤﻴﻢ ﺃﻭ ﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﺑﺈﺣﺪﻯ ﺃﻭ ﻛﻠﺘﺎ ﺍﳊﺎﻟﺘﲔ ﺍﳌﻌﺘﻤﺪﺗﲔ ﰲ ﺍﻟﻜﻮﺩ ﺍﻟﻌﺮﰊ ﺍﻟﺴﻮﺭﻱ ﻋﻠﻰ ﳓﻮ ﺇﻟﺰﺍﻣـﻲ ﺃﻭ‬ ‫ﺍﺧﺘﻴﺎﺭﻱ ﻭﳘﺎ ﺣﺎﻟﺔ ﺣﺪ ﲡﺎﻭﺯ ﺍﻹﺟﻬﺎﺩﺍﺕ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ ﺃﻭ ﺣﺎﻟﺔ ﺣﺪ ﺍﻻ‪‬ﻴﺎﺭ ) ﺍﳊﺪ ﺍﻷﻗﺼﻰ ﻟﻠﻤﻘﺎﻭﻣﺔ ( ﻭﺫﻟﻚ ﺑﻌﺪ‬ ‫ﺍﻟﻌﻮﺩﺓ ﺇﱃ ﳎﺎﻝ ﺍﺳﺘﺨﺪﺍﻡ ﺍﳊﺎﻟﺘﲔ ﺍﳌﺬﻛﻮﺭﺗﲔ ﺷﺮﻳﻄﺔ ﺃﻥ ﺗﻌﺘﻤﺪ ﺇﺣﺪﻯ ﺍﳊﺎﻟﺘﲔ ﻓﻘﻂ ﰲ ﺗﺼﻤﻴﻢ ﺃﻭﲢﻘﻴﻖ ﻛﺎﻓﺔ ﻋﻨﺎﺻﺮ‬ ‫ﺍﳌﻨﺸﺄﺓ ﻭﻻ ﳚﻮﺯ ﺍﳉﻤﻊ ﺑﻴﻨﻬﻤﺎ ‪.‬‬ ‫ﺗﻌﺘﻤﺪ ﺍﻹﺟﻬﺎﺩﺍﺕ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ ﻟﻜﻞﹴ ﻣﻦ ﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ ﻭﺍﻟﺒﻴﺘﻮﻥ ﰲ ﺃﻋﺼﺎﺏ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﻋﻨﺪ ﺍﻋﺘﺒﺎﺭﻫـﺎ‬ ‫ﻣﻘﺎﻃﻊ ﺗﻴﻪ ) ‪ ( T‬ﺧﺎﺿﻌﺔ ﻟﻼﻧﻌﻄﺎﻑ ﻋﻠﻰ ﺍﻟﻨﺤﻮ ﺍﻟﺘﺎﱄ ‪:‬‬ ‫ ﺍﻟﺸﺪ ﰲ ﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ‬‫‪ -‬ﺍﻟﻀﻐﻂ ﰲ ﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ‬

‫‪σ s ≤ 0,55. f y‬‬ ‫‪σ s =15.σ 'c ≤ 0,55. f y‬‬

‫‪ -‬ﺍﻟﻀﻐﻂ ﰲ ﺍﻟﺒﻴﺘﻮﻥ ﻳﺆﺧﺬ ﺣﺴﺐ ﺍﻟﻨﺴﺐ ﺍﻟﺒﻌﺪﻳﺔ ﳌﻘﻄﻊ ﺍﻟﻌﺼﺐ ﻭﻓﻖ ﺍﳉﺪﻭﻝ ) ‪: ( 4-4‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪86‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( 4-4‬ﺍﻹﺟﻬﺎﺩﺍﺕ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ ﻋﻠﻰ ﺍﻟﻀﻐﻂ ﰲ ﺍﳌﻘﺎﻃﻊ ﻋﻠﻰ ﺷﻜﻞ ﺗﻴﻪ ) ‪( T‬‬

‫‪b0‬‬

‫‪bw‬‬

‫‪b0‬‬ ‫‪tf‬‬ ‫‪t‬‬

‫‪‬ﻤﻞ ﺍﻷﺟﻨﺤﺔ ﻭﻳﺪﺭﺱ ﻛﻤﻘﻄﻊ ﻣﺴﺘﻄﻴﻞ‬

‫‪t f ≤ 0,1.t‬‬

‫‪σ 'c ≤ 0,55. f 'c‬‬

‫‪t f ≥ 0, 4.t‬‬

‫‪6‬‬

‫‪5‬‬

‫‪4‬‬

‫‪3‬‬

‫‪≤2‬‬

‫‪b0‬‬ ‫‪tf‬‬

‫‪0,3. f 'c‬‬

‫‪0,35. f 'c‬‬

‫‪0, 4. f 'c‬‬

‫‪0, 45. f 'c‬‬

‫‪0,5. f 'c‬‬

‫‪σ 'c‬‬

‫‪ 5-4‬ﻣﺴﺎﺣﺎﺕ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺪﻧﻴﺎ ﻭﺍﻟﻘﺼﻮﻯ ﻟﻸﻋﺼﺎﺏ‬ ‫•‬

‫ﻣﺴﺎﺣﺎﺕ ﺗﺴﻠﻴﺢ ﺍﻟﺸﺪ ﺍﻟﺪﻧﻴﺎ ﻭﺍﻟﻘﺼﻮﻯ ﻟﻸﻋﺼﺎﺏ ﺍﻟﺼﺮﳛﺔ ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻟﻘﻮﺍﻟـﺐ ﺍﳌﺆﻗﺘـﺔ ﺃﻭ‬ ‫ﺍﻟﺪﺍﺋﻤﺔ ﻫﻲ ﻧﻔﺲ ﻣﺴﺎﺣﺎﺕ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺪﻧﻴﺎ ﻭﺍﻟﻘﺼﻮﻯ ﻟﻠﺠﻮﺍﺋﺰ ﻣﻊ ﺍﻋﺘﻤﺎﺩ ﺍﳌﻘﻄﻊ ﺍﻟﻌﺮﺿﻲ ﺍﻟﻔﻌـﺎﻝ ﻟﻠﻌﺼـﺐ‬ ‫ﻣﺴﺎﻭﻳﺎﹰ ﺇﱃ ‪ ، bw .d‬ﻭﺑﺎﻟﺘﺎﱄ ﻳﻜﻮﻥ ‪:‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪87‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﻣﺴﺎﺣﺎﺕ ﺗﺴﻠﻴﺢ ﺍﻟﺸﺪ ﺍﻟﺪﻧﻴﺎ ﻟﻸﻋﺼﺎﺏ ‪:‬‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬ ‫‪0.9‬‬ ‫‪⋅ bw ⋅ d‬‬ ‫‪fy‬‬

‫= ‪As min‬‬

‫ﻭﳝﻜﻦ ﲣﻔﻴﺾ ﻫﺬﻩ ﺍﳌﺴﺎﺣﺎﺕ ﺍﻟﺪﻧﻴﺎ ﰲ ﺍﳌﻘﺎﻃﻊ ﺍﻷﻛﱪ ﻣﻦ ﺍﳌﻘﺎﻃﻊ ﺍﳌﻄﻠﻮﺑﺔ ﻟﻠﻤﻘﺎﻭﻣﺔ ﲝﻴﺚ ﻻ ﺗﻘﻞ ﻋﻦ ﺃﻛـﱪ‬ ‫ﺍﻟﻘﻴﻤﺘﲔ ﺍﻟﺘﺎﻟﻴﺘﲔ ‪:‬‬ ‫ ‪ 1,33‬ﻣﺮﺓ ﻣﺴﺎﺣﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳌﻄﻠﻮﺏ ﺣﺴﺎﺑﻴﺎﹰ ﰲ ﺍﳌﻘﻄﻊ ﺍﳊﺮﺝ‬‫‪-‬‬

‫‪2 0.9‬‬ ‫‪( ).‬‬ ‫‪⋅ bw ⋅ d‬‬ ‫‪3 fy‬‬

‫ﻣﺴﺎﺣﺎﺕ ﺗﺴﻠﻴﺢ ﺍﻟﺸﺪ ﺍﻟﻘﺼﻮﻯ ﻟﻸﻋﺼﺎﺏ ﻻ ﺗﺰﻳﺪ ﻋﻦ ﻧﺼﻒ ﺍﳌﺴﺎﺣﺎﺕ ﺍﻟﺘﻮﺍﺯﻧﻴﺔ‪:‬‬ ‫ﻭﳝﻜﻦ ﺯﻳﺎﺩﺓ ﻣﺴﺎﺣﺎﺕ ﺗﺴﻠﻴﺢ ﺍﻟﺸﺪ ﺍﻟﻘﺼﻮﻯ ﰲ ﺍﳌﻘﺎﻃﻊ ﺃﺣﺎﺩﻳﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺇﱃ ﺛﻼﺛﺔ ﺃﺭﺑـﺎﻉ ﺍﳌﺴـﺎﺣﺔ ﺍﻟﺘﻮﺍﺯﻧﻴـﺔ‬ ‫‪ As max = 0, 75. Asb‬ﺷﺮﻳﻄﺔ ﺍﻟﺘﺤﻘﻖ ﻣﻦ ﺍﻟﺴﻬﻢ ﻭﻋﺪﻡ ﺇﺟﺮﺍﺀ ﺗﻮﺯﻳﻊ ﻟﻌﺰﻭﻡ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺴﺘﻤﺮﺓ ﻭﻭﺿﻊ ﺗﺴﻠﻴﺢ ﺿﻐﻂ‬ ‫ﻻ ﻳﻘﻞ ﻋﻦ ‪ ، A 's = 0, 25. Asb‬ﻭﻋﻨﺪ ﺍﻟﺘﺼﻤﻴﻢ ﻭﻓﻖ ﺣﺎﻟﺔ ﺣﺪ ﺍﻻﺳﺘﺜﻤﺎﺭ ﳚﻮﺯ ﺯﻳﺎﺩﺓ ﻣﺴﺎﺣﺎﺕ ﺗﺴﻠﻴﺢ ﺍﻟﺸﺪ ﲝﻴﺚ‬ ‫ﻻ ﺗﺘﺠﺎﻭﺯ ﻣﺴﺎﺣﺎﺕ ﺗﺴﻠﻴﺢ ﺍﻟﻀﻐﻂ ﳌﺴﺎﺣﺎﺕ ﺗﺴﻠﻴﺢ ﺍﻟﺸﺪ ‪.‬‬ ‫‪As max = 0,5. Asb‬‬

‫ﻣﺴﺎﺣﺎﺕ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻌﺮﺿﻲ ) ﺍﻷﺳﺎﻭﺭ ( ﻻ ﺗﻘﻞ ﻋﻦ ‪:‬‬ ‫ﺣﻴﺚ ‪ bw‬ﻋﺮﺽ ﺟﺬﻉ ﺍﻟﻌﺼﺐ ﻭ‬

‫‪s‬‬

‫‪0.35‬‬ ‫‪⋅ bw ⋅ s‬‬ ‫‪fy‬‬

‫ﺗﺒﺎﻋﺪ ﺍﻷﺳﺎﻭﺭ ‪.‬‬

‫ﻣﺴﺎﺣﺎﺕ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺪﻧﻴﺎ ﻭﺍﻟﻘﺼﻮﻯ ﻟﻠﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﻟﻔﺮﺍﻏﺎﺕ ﺍﻟﺪﺍﺧﻠﻴﺔ ﺃﻱ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﻏﲑ ﺍﻟﺼﺮﳛﺔ ﻫﻲ‬ ‫ﻧﻔﺲ ﻣﺴﺎﺣﺎﺕ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺪﻧﻴﺎ ﻭﺍﻟﻘﺼﻮﻯ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ﺍﳌﺒﻴﻨﺔ ﰲ ﺍﻟﺒﻨﺪ )‪ (5-2‬ﺑﻌـﺪ‬ ‫ﺇﳘﺎﻝ ﻣﺴﺎﺣﺎﺕ ﺍﻟﻔﺮﺍﻏﺎﺕ ‪.‬‬

‫•‬

‫ﲢﺴﺐ ﻣﺴﺎﺣﺎﺕ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺘﻮﺍﺯﻧﻴﺔ ﻭﻓﻖ ﻣﺎ ﻳﻠﻲ ‪:‬‬ ‫ ﺣﺎﻟﺔ ﻣﻘﻄﻊ ﻣﺴﺘﻄﻴﻞ ﺫﺍﺕ ﺗﺴﻠﻴﺢ ﺷﺪ ﻓﻘﻂ ‪:‬‬‫‪455‬‬ ‫‪f′‬‬ ‫‪⋅ c ⋅b⋅ d‬‬ ‫‪630 + f y f y‬‬

‫= ‪Asb‬‬

‫ ﺣﺎﻟﺔ ﻣﻘﻄﻊ ﻣﺴﺘﻄﻴﻞ ﺫﺍﺕ ﺗﺴﻠﻴﺢ ﺷﺪ ﻭﺿﻐﻂ ‪:‬‬‫' ‪f ′ A' f‬‬ ‫‪455‬‬ ‫‪⋅ c + s . s ).b ⋅ d‬‬ ‫‪630 + f y f y b .d fy‬‬

‫ﺣﻴﺚ ‪:‬‬ ‫ﻭ‬

‫‪A 's‬‬

‫ﻣﺴﺎﺣﺔ ﺗﺴﻠﻴﺢ ﺍﻟﻀﻐﻂ‬

‫‪f 's‬‬

‫ﺇﺟﻬﺎﺩ ﺗﺴﻠﻴﺢ ﺍﻟﻀﻐﻂ‬

‫' ‪630 + f y d‬‬ ‫‪⋅ )≤f y‬‬ ‫‪630‬‬ ‫‪d‬‬

‫( = ‪Asb‬‬

‫‪f 's = 630.(1 −‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪88‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ ﺣﺎﻟﺔ ﻋﺼﺐ ﻣﻘﻄﻌﻪ ﺗﻴﻪ ) ‪ ( T‬ﺫﺍﺕ ﺗﺴﻠﻴﺢ ﺷﺪ ﻓﻘﻂ ‪:‬‬‫ﰲ ﺣﺎﻝ ﲢﻘﻖ ﺍﻟﺸﺮﻁ ﺍﻟﺘﺎﱄ ‪:‬‬ ‫‪630‬‬ ‫‪⋅d‬‬ ‫‪630 + f y‬‬

‫⋅ ‪t f ≥ 0.85‬‬

‫ﲢﺴﺐ ﻣﺴﺎﺣﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺘﻮﺍﺯﻧﻴﺔ ﻭﻓﻖ ﺍﻟﻌﻼﻗﺔ ‪:‬‬ ‫‪ 455‬‬ ‫‪f′ b ‬‬ ‫‪⋅ c ⋅ f  ⋅ bw ⋅ d‬‬ ‫‪Asb = ‬‬ ‫‪ 630 + f y f y bw ‬‬

‫ﻭ ﺇﻻ ﻓﺘﺤﺴﺐ ﻭﻓﻖ ﺍﻟﻌﻼﻗﺔ ‪:‬‬

‫ﺣﻴﺚ ‪:‬‬

‫‪ 455‬‬ ‫‪f ′ 0.85 ⋅ f c′ ⋅ (b f − bw ) ⋅ t f ‬‬ ‫‪Asb = ‬‬ ‫‪⋅ c +‬‬ ‫‪ ⋅ bw ⋅ d‬‬ ‫‪bw ⋅ d ⋅ f y‬‬ ‫‪‬‬ ‫‪ 630 + f y f y‬‬

‫‪ bw‬ﻋﺮﺽ ﺟﺬﻉ ﺍﻟﻌﺼﺐ ﻭ ‪ t f‬ﲰﻚ ﺑﻼﻃﺔ ﺍﻟﻀﻐﻂ ﺃﻭ ﺑﻼﻃﺔ ﺍﻟﺘﻐﻄﻴﺔ‬ ‫‪ bf = S‬ﻋﺮﺽ ﺑﻼﻃﺔ ﺍﻟﻀﻐﻂ ﻭﻫﻲ ﺍﳌﺴﺎﻓﺔ ﺑﲔ ﺍﶈﺎﻭﺭ ﺍﻟﻄﻮﻟﻴﺔ ﻟﻸﻋﺼﺎﺏ‬

‫‪ 6-4‬ﺍﺷﺘﺮﺍﻃﺎﺕ ﻭ ﺗﺮﺗﻴﺒﺎﺕ ﺗﺴﻠﻴﺢ ﺍﻷﻋﺼﺎﺏ ﻭﺑﻼﻃﺔ ﺍﻟﺘﻐﻄﻴﺔ‬ ‫ ﻻ ﻳﻘﻞ ﻗﻄﺮ ﻗﻀﺒﺎﻥ ﺗﺴﻠﻴﺢ ﺍﻟﺸﺪ ﺍﻟﺮﺋﻴﺴﻴﺔ ﰲ ﺍﻷﻋﺼﺎﺏ ﻋﻦ ‪.8 mm‬‬‫‪ -‬ﻻ ﻳﻘﻞ ﻗﻄﺮ ﻗﻀﺒﺎﻥ ﺍﻟﺘﻌﻠﻴﻖ ﻋﻦ‬

‫‪1‬‬ ‫‪2‬‬

‫ﺃﻛﱪ ﻗﻄﺮ ﻟﻘﻀﺒﺎﻥ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻄﻮﱄ ﺃﻭ ﻋﻦ ‪ ، 2Ø6 mm‬ﺃﻳﻬﻤﺎ ﺃﻛﱪ‪ .‬ﻭﳝﻜـﻦ‬

‫ﺍﻻﻛﺘﻔﺎﺀ ﺑﻘﻀﻴﺐ ﻭﺍﺣﺪ ﻟﻠﺘﻌﻠﻴﻖ ﲝﻴﺚ ﻻ ﻳﻘﻞ ﻗﻄﺮ ﻫﺬﺍ ﺍﻟﻘﻀﻴﺐ ﻋﻦ ‪. 8 mm‬‬ ‫ ﻋﺎﺩﺓﹰ ﻻ ﻳﺘﻢ ﺩﺭﺍﺳﺔ ﺑﻼﻃﺔ ﺍﻟﺘﻐﻄﻴﺔ ﺩﺭﺍﺳﺔ ﻣﺴﺘﻘﻠﺔ ﻣﻦ ﺣﻴﺖ ﺣﺴﺎﺏ ﲪﻮﻻ‪‬ﺎ ﺃﻭ ﺣﺴﺎﺏ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻼﺯﻡ ﳍﺎ‪ ،‬ﻧﻈـﺮﹰﺍ‬‫ﻷﻥ ﺍﻟﻐﺎﻳﺔ ﻣﻦ ﻫﺬﻩ ﺍﻟﺒﻼﻃﺔ ﻫﻲ ﻧﻘﻞ ﺍﻷﲪﺎﻝ ﺍﳋﺎﺭﺟﻴﺔ ﺇﱃ ﺍﻷﻋﺼﺎﺏ‪ .‬ﻳﻜﺘﻔﻰ ﺗﺴﻠﻴﺢ ﻫﺬﻩ ﺍﻟﺒﻼﻃﺔ ﺑﺘﺴﻠﻴﺢ ﺗﻮﺯﻳـﻊ‬ ‫ﺇﻧﺸﺎﺋﻲ ﺿﻤﺎﻧﺎﹰ ﻟﻌﺪﻡ ﺗﺸﻘﻖ ﻫﺬﻩ ﺍﻟﺒﻼﻃﺔ ﻋﻠﻰ ﺍﻟﻨﺤﻮ ﺍﻟﺘﺎﱄ ‪:‬‬ ‫•‬

‫ﻻ ﺗﻘﻞ ﻣﺴﺎﺣﺔ ﺗﺴﻠﻴﺢ ﺍﻟﺘﻮﺯﻳﻊ ﺍﳌﺘﻌﺎﻣﺪ ﻟﻸﻋﺼﺎﺏ ﰲ ﺑﻼﻃﺔ ﺍﻟﺘﻐﻄﻴﺔ ﻋﻦ‬ ‫ﻭﲝﺪ ﺃﺩﱏ ﻻ ﻳﻘﻞ ﻋﻦ ‪.Ø 6 / 200 mm‬‬

‫•‬

‫‪1‬‬ ‫‪5‬‬

‫ﻣﻦ ﻣﺴﺎﺣﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺮﺋﻴﺴﻲ ﰲ ﺍﳌﺘﺮ‪،‬‬

‫ﻻ ﺗﻘﻞ ﻗﻴﻤﺔ ﺗﺴﻠﻴﺢ ﺍﻟﺘﻮﺯﻳﻊ ﰲ ﺑﻼﻃﺔ ﺍﻟﺘﻐﻄﻴﺔ ﰲ ﺍﻻﲡﺎﻩ ﺍﳌﻮﺍﺯﻱ ﻟﻸﻋﺼﺎﺏ ﻋﻦ‬ ‫ﺑﲔ ﻛﻞ ﻋﺼﺒﲔ ﻣﺘﺘﺎﻟﲔ‪.‬‬

‫ﺑﻠﻮﻛﺔ ‪ 1 Ø 6mm /‬ﻭﺫﻟﻚ‬

‫ ﻻ ﺗﺘﻌﺪﻯ ﺍﳌﺴﺎﻓﺔ ﺑﲔ ﺍﻷﺳﺎﻭﺭ ‪ s‬ﻗﻴﻤﺔ ﺍﻻﺭﺗﻔﺎﻉ ﺍﻟﻔﻌﺎﻝ ‪ d‬ﺃﻭ ﻣﺴﺎﻓﺔ ‪ 300 mm‬ﺃﻳﻬﻤﺎ ﺃﺻﻐﺮ ‪.‬‬‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪89‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫‪ 7-4‬ﺃﻋﺼﺎﺏ ﺍﻟﺘﻘﻮﻳﺔ ﺍﻟﻌﺮﺿﻴﺔ‬ ‫ﺗﺰﻭﺩ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ﺑﺄﻋﺼﺎﺏ ﻋﺮﺿﻴﺔ ﺗﻌﺎﻣﺪ ﺍﻷﻋﺼـﺎﺏ ﺍﻟﺮﺋﻴﺴـﻴﺔ ﺍﳌﺘﺠـﺎﻭﺭﺓ ﻭﻓـﻖ‬ ‫ﺍﻻﺷﺘﺮﺍﻃﺎﺕ ﺍﻟﺘﺎﻟﻴﺔ ‪:‬‬ ‫‪.1‬‬

‫ﺇﺫﺍ ﻛﺎﻥ ﳎﺎﺯ ﺍﻟﻌﺼﺐ ﺍﻟﺮﺋﻴﺴﻲ ﺍﳌﺘﻜﺮﺭ ﺃﻗﻞ ﻣﻦ ‪ 4 m‬ﳝﻜﻦ ﺍﻻﺳﺘﻐﻨﺎﺀ ﻋﻦ ﺃﻋﺼﺎﺏ ﺍﻟﺘﻘﻮﻳﺔ‪.‬‬

‫‪ .2‬ﺇﺫﺍ ﻛﺎﻥ ﳎﺎﺯ ﺍﻟﻌﺼﺐ ﺍﻟﺮﺋﻴﺴﻲ ﺍﳌﺘﻜﺮﺭ ﺃﻛﱪ ﻣﻦ ‪ 4 m‬ﻭﺃﻗﻞ ﻣﻦ ‪ 6 m‬ﻳﻮﺿﻊ ﻋﺼﺐ ﺗﻘﻮﻳﺔ ﻭﺍﺣﺪ ﰲ ﻣﻨﺘﺼـﻒ‬ ‫ﳎﺎﺯ ﺍﻷﻋﺼﺎﺏ‪.‬‬ ‫‪ .3‬ﺇﺫﺍ ﻛﺎﻥ ﳎﺎﺯ ﺍﻟﻌﺼﺐ ﺍﻟﺮﺋﻴﺴﻲ ﺍﳌﺘﻜﺮﺭ ﺃﻛﱪ ﻣﻦ‬ ‫ﺑﺎﻧﺘﻈﺎﻡ‪.‬‬

‫‪m‬‬

‫‪ 6‬ﻭﺃﻗﻞ ﻣﻦ‬

‫‪m‬‬

‫‪ 10‬ﺗﻮﺿﻊ ﺛﻼﺛﺔ ﺃﻋﺼﺎﺏ ﺗﻘﻮﻳـﺔ ﺗـﻮﺯﻉ‬

‫‪ .4‬ﺇﺫﺍ ﻛﺎﻥ ﳎﺎﺯ ﺍﻟﻌﺼﺐ ﺃﻛﱪ ﻣﻦ ‪ 10 m‬ﺗﻮﺿﻊ ﺃﻋﺼﺎﺏ ﺗﻘﻮﻳﺔ ﻻ ﻳﻘﻞ ﻋﺪﺩﻫﺎ ﻋﻦ ﺛﻼﺛﺔ ﺃﻋﺼﺎﺏ ﻭﲝﻴﺚ ﻻ ﺗﺰﻳﺪ‬ ‫ﺍﻟﺘﺒﺎﻋﺪﺍﺕ ﺑﲔ ﳏﺎﻭﺭ ﺃﻋﺼﺎﺏ ﺍﻟﺘﻘﻮﻳﺔ ﺍﳌﺘﺠﺎﻭﺭﺓ ﻋﻦ ‪.3 m‬‬ ‫) ﻋﻤﻮﻣﺎﹰ ﻳﻮﺿﻊ ﻋﺼﺐ ﺗﻘﻮﻳﺔ ﰲ ﻭﺳﻂ ﳎﺎﺯ ﺍﻷﻋﺼﺎﺏ ﻭﺗﻮﺿﻊ ﺃﻋﺼﺎﺏ ﺍﻟﺘﻘﻮﻳﺔ ﺍﻷﺧﺮﻯ ﲝﻴﺚ ﻻ ﺗﺰﻳﺪ ﺍﻟﺘﺒﺎﻋﺪﺍﺕ‬

‫ﺑﲔ ﳏﺎﻭﺭ ﺃﻋﺼﺎﺏ ﺍﻟﺘﻘﻮﻳﺔ ﻋﻦ ‪. ( 3 m‬‬

‫‪ .5‬ﻻ ﻳﻘﻞ ﻋﺮﺽ ﻋﺼﺐ ﺍﻟﺘﻘﻮﻳﺔ ﻋﻦ ﻋﺮﺽ ﺍﻷﻋﺼﺎﺏ ﺍﻟﺮﺋﻴﺴﻴﺔ ﺍﳌﺘﻜﺮﺭﺓ ﺍﳌﺮﺗﺒﻄﺔ ﻣﻌﻬﺎ‪ ،‬ﻭﻋﻤﻠﻴﺎﹰ ﻳﺘﻢ ﺗﻨﻔﻴﺬ ﻫـﺬﻩ‬ ‫ﺍﻷﻋﺼﺎﺏ ﺑﺈﺯﺍﻟﺔ ﺑﻠﻮﻛﺔ ﻭﺍﺣﺪﺓ ﻣﻦ ﻛﻞ ﺻﻒ ﻣﻦ ﺻﻔﻮﻑ ﺍﻟﺒﻠﻮﻙ ﰲ ﻣﻜﺎﻥ ﺗﻮﺿﻊ ﻋﺼﺐ ﺍﻟﺘﻘﻮﻳﺔ‪.‬‬ ‫‪.6‬‬

‫‪3‬‬ ‫ﻳﺴﻠﺢ ﻋﺼﺐ ﺍﻟﺘﻘﻮﻳﺔ ﺗﺴﻠﻴﺤﺎﹰ ﻣﺘﻨﺎﻇﺮﺍﹰ ﻻ ﺗﻘﻞ ﻗﻴﻤﺘﻪ ﻣﻦ ﺍﻷﻋﻠﻰ ﻭﺍﻷﺳﻔﻞ ﻋﻦ‬ ‫‪4‬‬

‫ﻣﺴﺎﺣﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺮﺋﻴﺴـﻲ‬

‫ﻟﻸﻋﺼﺎﺏ ﺍﳌﺘﻜﺮﺭﺓ ﺍﳌﺮﺗﺒﻄﺔ ﻣﻌﻬﺎ‪ ،‬ﺑﺎﺳﺘﺜﻨﺎﺀ ﺍﻷﻋﺼﺎﺏ ﺍﻟﻄﺮﻓﻴﺔ ﺍﻟﺮﺍﺑﻄﺔ ﻟﻨﻬﺎﻳﺎﺕ ﺍﻷﻋﺼﺎﺏ ﺍﻟﻈﻔﺮﻳﺔ ﺣﻴﺚ ﳚﺐ ﺃﻻ‬ ‫‪1‬‬ ‫ﺗﻘﻞ ﻣﺴﺎﺣﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳌﺘﻨﺎﻇﺮ ﻣﻦ ﺍﻷﻋﻠﻰ ﻭﺍﻷﺳﻔﻞ ﻋﻦ‬ ‫‪3‬‬

‫ﻣﺴﺎﺣﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺮﺋﻴﺴﻲ ﺍﻟﻌﻠﻮﻱ ﰲ ﺍﻟﻌﺼﺐ ﺍﻟﻈﻔـﺮﻱ‬

‫ﺍﳌﺮﺗﺒﻂ ﻣﻌﻬﺎ‪.‬‬ ‫‪.7‬‬

‫ﳝﻜﻦ ﻭﺿﻊ ﻋﺼﺐ ﺗﻘﻮﻳﺔ ﲢﺖ ﺍﳉﺪﺭﺍﻥ ﺍﻟﺜﻘﻠﻴﺔ ‪.‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪90‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫‪ 8-4‬ﺗﻘﻮﻳﺔ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺑﺎﻻﲡﺎﻩ ﺍﳌﻮﺍﺯﻱ ﻟﻸﻋﺼﺎﺏ‬ ‫ﻋﻨﺪ ﺗﺼﻤﻴﻢ ﺃﺳﻘﻒ ﺍﳌﺒﺎﱐ ﻛﺒﻼﻃﺎﺕ ﻣﻔﺮﻏﺔ ﺑﺎﲡﺎﻩ ﻭﺍﺣﺪ‪ ،‬ﻓﺈﻥ ﺍﳉﻮﺍﺋﺰ ﺍﻟﺮﺋﻴﺴﺔ ﺍﳊﺎﻣﻠﺔ ﻟﻸﻋﺼﺎﺏ ﺗﺸﻜﻞ ﻣـﻊ‬ ‫ﺍﻷﻋﻤﺪﺓ ﺇﻃﺎﺭﺍﺕ ﺑﺎﲡﺎﻩ ﺍﶈﻮﺭ ﺍﻟﻄﻮﱄ ﻟﻠﺠﺎﺋﺰ‪ ،‬ﻭﻭﺟﻮﺩ ﻣﺜﻞ ﻫﺬﻩ ﺍﻹﻃﺎﺭﺍﺕ ﺃﻣﺮ ﻣﺮﻏﻮﺏ ﺑﻪ ﳌﻘﺎﻭﻣﺔ ﺃﲪﺎﻝ ﺍﻟﺰﻻﺯﻝ ‪ .‬ﺃﻣﺎ‬ ‫ﰲ ﺍﻻﲡﺎﻩ ﺍﻵﺧﺮ‪ ،‬ﻭﻟﺘﺄﻣﲔ ﻋﻤﻞ ﺇﻃﺎﺭﻱ ﻣﺸﺎﺑﻪ ‪ ،‬ﻳﺘﻮﺟﺐ ﺗﻘﻮﻳﺔ ﺍﻷﻋﺼﺎﺏ ﺍ‪‬ﺎﻭﺭﺓ ﻟﻸﻋﻤﺪﺓ ﺃﻭ ﺗﻨﻔﻴﺬ ﺟﻮﺍﺋﺰ ﺑﻴﺘﻮﻧﻴﺔ ﺑﲔ‬ ‫ﺍﻷﻋﻤﺪﺓ ﲝﻴﺚ ﺗﻜﻮﻥ ﻣﻮﺍﺯﻳﺔ ﻟﻸﻋﺼﺎﺏ‪.‬‬ ‫‪ 9-4‬ﺍﺷﺘﺮﺍﻃﺎﺕ ﻗﻮﺍﻟﺐ ﺍﻟﺒﻠﻮﻙ ﺃﻭ ﺍﻵﺟﺮ ﺍﳌﻔﺮﻍ‬ ‫ﻋﻨﺪ ﺍﺳﺘﻌﻤﺎﻝ ﺍﻟﺒﻠﻮﻙ ﺍﳌﻔﺮﻍ ﺃﻭ ﺍﻵﺟﺮ ﺍﳌﻔﺮﻍ ) ﺍﳍﻮﺭﺩﻱ ( ﻛﻘﻮﺍﻟﺐ ﺩﺍﺋﻤﺔ‪ ،‬ﻓﺈﻧﻪ ﻻ ﺗﺆﺧـﺬ ﰲ ﺍﳊﺴـﺒﺎﻥ ﻋﻨـﺪ‬ ‫ﺣﺴﺎﺏ ﺍﻟﺒﻼﻃﺔ ﺳﺘﺎﺗﻴﻜﻴﺎﹰ‪.‬‬ ‫ﺇﺫﺍ ﻛﺎﻥ ﺍﻟﻘﺎﻟﺐ ﺍﳌﻔﺮﻍ ﺫﺍ ﻋﺮﺿﲔ ﳐﺘﻠﻔﲔ‪ ،‬ﳝﻜﻦ ﻭﺿﻌﻪ ﲝﻴﺚ ﻳﻜﻮﻥ ﻓﻴﻬﺎ ﺍﻟﺒﻌﺪ ﺍﻷﻛﱪ ﰲ ﺍﻷﻋﻠﻰ ﺃﻭ ﺍﻷﺳـﻔﻞ‬ ‫ﺣﺴﺒﻤﺎ ﻳﺮﺍﻩ ﺍﳌﻬﻨﺪﺱ ﺍﳌﺼﻤﻢ ﻣﻨﺎﺳﺒﺎﹰ‪.‬‬ ‫ﻳﻮﻗﻒ ﺻﻒ ﺍﳍﻮﺭﺩﻱ ﺃﻭ ﺍﻟﺒﻠﻮﻙ ﺃﻭ ﺍﻟﻘﺮﻣﻴﺪ ﻋﻠﻰ ﺑﻌﺪ ‪ 150 mm‬ﻋﻠﻰ ﺍﻷﻗﻞ ﻣﻦ ﺍﻟﻮﺟﻪ ﺍﻟﺪﺍﺧﻠﻲ ﻟﻠﺠﻮﺍﺋﺰ ﺍﻟﺒﺎﺭﺯﺓ‬ ‫ﺃﻭ ﺍﳉﺪﺭﺍﻥ ﺍﳊﺎﻣﻠﺔ‪ ،‬ﲝﻴﺚ ﻳﻜﻮﻥ ﻫﺬﺍ ﺍﻟﻘﺴﻢ ﻣﻦ ﺍﻟﺒﻼﻃﺔ ﻣﺼﻤﺘﺎﹰ ﻭﺫﻟﻚ ﳌﻘﺎﻭﻣﺔ ﻋﺰﻭﻡ ﺍﻻﻧﻌﻄﺎﻑ ﺍﻟﺴﺎﻟﺒﺔ ﻭﻗﻮﻯ ﺍﻟﻘﺺ‬ ‫ﺍﻷﻋﻈﻤﻴﺔ ﰲ ﻫﺬﻩ ﺍﳌﻨﻄﻘﺔ‪.‬‬ ‫ﻳﻜﻮﻥ ﻃﻮﻝ ﺻﻒ ﺍﻟﺒﻠﻮﻙ ﻣﺴﺎﻭﻳﺎﹰ ﺇﱃ ﻋﺮﺽ ﺍﻟﺒﻠﻮﻛﺔ ﺍﻟﻮﺍﺣﺪﺓ ) ﻭﺍﻟﺬﻱ ﻳﺴﺎﻭﻱ ﻋﺎﺩﺓﹰ ﺇﱃ‬ ‫ﺑﻌﺪﺩ ﺻﺤﻴﺢ ﳝﺜﻞ ﻋﺪﺩ ﺍﻟﺒﻠﻮﻛﺎﺕ ﰲ ﺍﻟﺼﻒ ﺍﻟﻮﺍﺣﺪ‪.‬‬

‫‪mm‬‬

‫‪ ( 200‬ﻣﻀـﺮﻭﺑﺎﹰ‬

‫ﻻ ﺗﻘﻞ ﺍﳌﻘﺎﻭﻣﺔ ﺍﳌﻤﻴﺰﺓ ﻟﻠﻘﻮﺍﻟﺐ ﺍﳌﻔﺮﻏﺔ ) ﺍﻋﺘﻤﺎﺩﺍﹰ ﻋﻠﻰ ﺍﳌﺴﺎﺣﺔ ﺍﻟﺼﺎﻓﻴﺔ ( ﻋﻠﻰ ﺍﻟﻜﺴﺮ ﺑﺎﻟﻀﻐﻂ ﻋﻦ ‪، 7 N/mm2‬‬ ‫ﻭﺫﻟﻚ ﻋﻨﺪﻣﺎ ﲢﻤ‪‬ﻞ ﳏﻮﺭﻳﺎﹰ ﺑﺎﲡﺎﻩ ﻳﻮﺍﺯﻱ ﺍﻻﺟﻬﺎﺩﺍﺕ ﺍﻟﻀﺎﻏﻄﺔ ﰲ ﺍﻟﺒﻼﻃﺔ‪.‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪91‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫‪ 10-4‬ﻧﻘﻞ ﲪﻮﻻﺕ ﺍﻷﻋﺼﺎﺏ ﺇﱃ ﺍﳉﻮﺍﺋﺰ‬ ‫ﲣﻀﻊ ﺍﳉﻮﺍﺋﺰ ﺇﱃ ﺭﺩﻭﺩ ﺃﻓﻌﺎﻝ ﺍﻷﻋﺼﺎﺏ ﺑﺎﻹﺿﺎﻓﺔ ﺇﱃ ﻭﺯ‪‬ﺎ ﺍﻟﺬﺍﰐ ﻭﻭﺯﻥ ﺍﻷﲪﺎﻝ ﺍﳌﻄﺒﻘﺔ ﻋﻠﻴﻬﺎ ﺑﺸﻜﻞ ﻣﺒﺎﺷـﺮ‬ ‫ﻛﺤﻤﻮﻻﺕ ﺍﳉﺪﺭﺍﻥ ﻣﺜﻼﹰ ‪.‬‬ ‫ﲢﻮﻝ ﺭﺩﻭﺩ ﺃﻓﻌﺎﻝ ﺍﻷﻋﺼﺎﺏ ‪ ،‬ﺍﻟﱵ ﰎ ﺍﳊﺼﻮﻝ ﻋﻠﻴﻬﺎ ﺑﺎﻟﻄﺮﻕ ﺍﻟﺪﻗﻴﻘﺔ ﺃﻭ ﺑﺎﻟﻄﺮﻕ ﺍﻟﺘﻘﺮﻳﺒﻴﺔ ﺑﻌﺪ ﳊﻆ ﺃﺛﺮ ﺍﻻﺳﺘﻤﺮﺍﺭ‬ ‫ﺍﳌﻨﺼﻮﺹ ﻋﻨﻪ ﰲ ﺍﻟﺒﻨﺪ )‪ ، (7-2‬ﻭﺍﳌﻄﺒﻘﺔ ﻋﻠﻰ ﺍﳉﻮﺍﺋﺰ ﺑﺘﺒﺎﻋﺪ ﻣﻨﺘﻈﻢ ﻣﻘﺪﺍﺭﻩ ﺍﻟﺒﻌﺪ ﺑﲔ ﺍﶈـﺎﻭﺭ ﺍﻟﻄﻮﻟﻴـﺔ ﻟﻸﻋﺼـﺎﺏ‬ ‫ﺍﳌﺘﺠﺎﻭﺭﺓ ‪ S‬ﺇﱃ ﲪﻮﻟﺔ ﺧﻄﻴﺔ ﻣﻮﺯﻋﺔ ﺑﺎﻧﺘﻈﺎﻡ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﻟﻄﻮﱄ ﻣﻦ ﺍﳉﺎﺋﺰ ﺍﺳﺘﻨﺎﺩﺍﹰ ﺇﱃ ﻋﺪﺩ ﺍﻷﻋﺼﺎﺏ ﺍﳌﺴﻨﻮﺩﺓ ﻋﻠﻰ ﻛﻞ‬ ‫ﻣﺘﺮ ﻃﻮﱄ ﻣﻦ ﺍﳉﺎﺋﺰ‬

‫‪1‬‬ ‫‪S‬‬

‫ﻭﻋﻠﻴﻪ ﻳﻜﻮﻥ ‪:‬‬

‫ ﺍﳊﻤﻮﻟﺔ ﺍﳌﻴﺘﺔ ﺍﳌﻨﻘﻮﻟﺔ ﻣﻦ ﺍﻷﻋﺼﺎﺏ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﻟﻄﻮﱄ ﻣﻦ ﺍﳉﺎﺋﺰ ‪:‬‬‫‪g = Rg / S‬‬

‫ ﺍﳊﻤﻮﻟﺔ ﺍﳊﻴﺔ ﺍﳌﻨﻘﻮﻟﺔ ﻣﻦ ﺍﻷﻋﺼﺎﺏ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﻟﻄﻮﱄ ﻣﻦ ﺍﳉﺎﺋﺰ ‪:‬‬‫‪p = Rp / S‬‬

‫ ﺍﳊﻤﻮﻟﺔ ﺍﻟﻜﻠﻴﺔ ﺍﳌﻨﻘﻮﻟﺔ ﻣﻦ ﺍﻷﻋﺼﺎﺏ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﻟﻄﻮﱄ ﻣﻦ ﺍﳉﺎﺋﺰ ‪:‬‬‫‪w = g + p = Rw / S‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪92‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﻔﺼﻞ ﺍﳋﺎﻣﺲ‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬ ‫‪ 1-5‬ﻣﻘﺪﻣﺔ ‪:‬‬ ‫ﺗﺴﺘﻌﻤﻞ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ ﻣﻦ ﺃﺟﻞ ﺗﻐﻄﻴﺔ ﺻﺎﻻﺕ ﻣﺮﺑﻌﺔ ﺃﻭ ﻗﺮﻳﺒﺔ ﻣﻦ ﺍﳌﺮﺑﻌـﺔ ﻭﺫﺍﺕ‬ ‫ﳎﺎﺯﺍﺕ ﻛﺒﲑﺓ ﺃﺑﻌﺎﺩﻫﺎ ﺑﲔ ‪ 8‬ﻭ ‪ 12‬ﻣﺘﺮﺍﹰ ‪ .‬ﺍﻟﺒﻌﺪ ﺑﲔ ﺍﶈﺎﻭﺭ ﺍﻟﻄﻮﻟﻴﺔ ﻟﻸﻋﺼﺎﺏ ﺍﳌﺘﺠﺎﻭﺭﺓ ﰲ ﻛﻼ ﺍﻻﲡﺎﻫﲔ ﺗﻜﻮﻥ ﻋﻠﻰ‬ ‫ﺍﻷﻏﻠﺐ ﻣﺘﺴﺎﻭﻳﺔ ﻭﻻ ﺗﺘﺠﺎﻭﺯ ﺍﳌﺘﺮ ﺍﻟﻮﺍﺣﺪ ) ﻋﻨﺪﻣﺎ ﺗﺰﻳﺪ ﺍﳌﺴﺎﻓﺔ ﺑﲔ ﳏﺎﻭﺭ ﺍﻷﻋﺼﺎﺏ ﻋﻦ ﺍﳌﺘﺮ ﺍﻟﻮﺍﺣﺪ ﺗﺼﺒﺢ ﺍﻟﺒﻼﻃـﺔ‬ ‫ﺫﺍﺕ ﺟﻮﺍﺋﺰ ﻣﺘﺼﺎﻟﺒﺔ ( ‪ .‬ﻳﺒﲔ ﺍﻟﺸﻜﻞ )‪ (1-5‬ﻣﺴﻘﻄﺎﹰ ﺃﻓﻘﻴﺎﹰ ﻟﻜﻮﻓﺮﺍﺝ ﺑﻼﻃﺔ ﻣﻔﺮﻏﺔ ﺫﺍﺕ ﺃﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ ‪.‬‬ ‫ﺗﺸﺒﻪ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ﻣﻦ ﺣﻴـﺚ ﻣﻜﻮﻧﺎ‪‬ـﺎ‪،‬‬ ‫ﻭﻣﻦ ﺣﻴﺚ ﺇﻣﻜﺎﻧﻴﺔ ﺗﻨﻔﻴﺬﻫﺎ ﺑﻘﻮﺍﻟﺐ ﺩﺍﺋﻤﺔ ﺃﻭ ﻣﺆﻗﺘﺔ ‪ ،‬ﻭﻣﻦ ﺣﻴﺚ ﻣﻴﺰﺍ‪‬ﺎ ﺍﳋﺎﺻﺔ ﻭﺃﺳﻠﻮﺏ ﺍﺳﺘﻨﺎﺩﻫﺎ ﻋﻠﻰ ﺟﻮﺍﺋﺰ ﳐﻔﻴﺔ ﺃﻭ‬ ‫ﺟﻮﺍﺋﺰ ﻣﺘﺪﻟﻴﺔ ‪.‬‬ ‫أﻋﺼ ﺎب ﺑﺎﺗﺠ ﺎه ‪L1‬‬ ‫ﺟ ﺎﺋﺰ رﺋﯿﺴ ﻲ‬

‫ﻗﻮاﻟ ﺐ ﻣﻔﺮﻏ ﺔ‬

‫أﻋﺼ ﺎب ﺑﺎﺗﺠ ﺎه ‪L2‬‬

‫‪L2‬‬ ‫‪S‬‬

‫ﺟ ﺎﺋﺰ رﺋﯿﺴ ﻲ‬

‫‪L1‬‬

‫‪S‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 1-5‬ﻣﺴﻘﻂ ﻛﻮﻓﺮﺍﺝ ﺑﻼﻃﺔ ﻣﻔﺮﻏﺔ ﺫﺍﺕ ﺃﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪93‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬

‫‪ 2-5‬ﺍﻻﺷﺘﺮﺍﻃﺎﺕ ﺍﻟﺒﻌﺪﻳﺔ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ ‪:‬‬ ‫ﻳﺘﻢ ﲢﺪﻳﺪ ﺍﻟﺴﻤﺎﻛﺔ ﺍﻟﻜﻠﻴﺔ ) ‪ ( t‬ﻟﻠﺒﻼﻃﺔ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ ﻭ ﺍﻟﱵ ﻻ ﻳﺰﻳﺪ ﺍﻟﺘﺒﺎﻋﺪ ﺑـﲔ ﳏـﺎﻭﺭ‬ ‫ﺃﻋﺼﺎ‪‬ﺎ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﻟﻮﺍﺣﺪ ) ‪ ( 1000 mm‬ﺗﺒﻌﺎﹰ ﻟﻨﻮﻉ ﺍﳌﺴﺎﻧﺪ ﺍﳊﺎﻣﻠﺔ ﻭﻓﻖ ﻣﺎ ﻳﻠﻲ ‪:‬‬ ‫ﺃ‪ -‬ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ ﻭﺍﳌﺴﺘﻨﺪﺓ ﻋﻠﻰ ﺟﺪﺭﺍﻥ ﺃﻭ ﺟﻮﺍﺋﺰ ﻣﺘﺪﻟﻴﺔ ﲰﻜﻬﺎ ﻻ ﻳﻘﻞ ﻋﻦ ﺿﻌﻒ‬ ‫ﲰﻚ ﺍﻟﺒﻼﻃﺔ ﻳﺘﻢ ﲢﺪﻳﺪ ﺍﻟﺴﻤﺎﻛﺔ ﺍﻟﺪﻧﻴﺎ ﺗﺒﻌﺎﹰ ﻷﺑﻌﺎﺩ ﺍﻟﺒﻼﻃﺔ ﻭﺍﺳﺘﻤﺮﺍﺭﻫﺎ ﲟﺎ ﻻ ﻳﻘﻞ ﻋﻦ ﳏﻴﻄﻬﺎ ﺍﳌﻜﺎﻓﺊ ﻣﻘﺴﻮﻣﺎﹰ‬ ‫ﻋﻠﻰ ‪ , 120‬ﻭ ﺇﻻ ﻓﻴﻠﺰﻡ ﺍﻟﺘﺤﻘﻖ ﻣﻦ ﺍﻟﺴﻬﻢ ﻭﺫﻟﻚ ﻭﻓﻖ ﺍﻟﺒﻨﺪ )‪ (5-10‬ﻣﻦ ﺍﻟﻜﻮﺩ ﺍﻟﻌﺮﰊ ﺍﻟﺴﻮﺭﻱ ‪.‬‬ ‫ﺏ‪ -‬ﻳ‪‬ﻌﺮ‪‬ﻑ ﺍﶈﻴﻂ ﺍﳌﻜﺎﻓﺊ ﺑﺄﻧﻪ ﳎﻤﻮﻉ ﺍﻷﻃﻮﺍﻝ ﺍﳌﻜﺎﻓﺌﺔ ﻷﺿﻼﻉ ﺍﻟﺒﻼﻃﺔ ‪ ،‬ﻭﻳ‪‬ﺆﺧﺬ ﺍﻟﻄﻮﻝ ﺍﳌﻜﺎﻓﺊ ﻟﻀﻠﻊ ﻣـﺎ ﻣـﻦ‬ ‫ﺍﻟﺒﻼﻃﺔ ﻣﺴﺎﻭﻳﺎﹰ ﺇﱃ ﻃﻮﻟﻪ ﺍﻟﻔﻌﻠﻲ ﻋﻨﺪ ﺍﻟﻮﺟﻪ ﺍﻟﺪﺍﺧﻠﻲ ﻟﻼﺳﺘﻨﺎﺩ ﺇﺫﺍ ﻛﺎﻧﺖ ﺍﻟﺒﻼﻃﺔ ﻣﺴﺘﻨﺪﺓ ﺍﺳﺘﻨﺎﺩﺍﹰ ﺑﺴﻴﻄﺎﹰ ﻋﻨﺪ ﻫﺬﺍ‬ ‫ﺍﻟﻀﻠﻊ ‪ ,‬ﻭ ‪ 0,76‬ﻣﻦ ﺍﻟﻄﻮﻝ ﺍﻟﻔﻌﻠﻲ ﻋﻨﺪ ﺍﻟﻮﺟﻪ ﺍﻟﺪﺍﺧﻠﻲ ﻟﻼﺳﺘﻨﺎﺩ ﺇﺫﺍ ﻛﺎﻧﺖ ﺍﻟﺒﻼﻃﺔ ﻣﺴﺘﻤﺮﺓ ﻋﻨﺪ ﻫﺬﺍ ﺍﻟﻀﻠﻊ ‪.‬‬ ‫ﺝ‪ -‬ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ ﻭﺍﳌﺴﺘﻨﺪﺓ ﻋﻠﻰ ﺟﻮﺍﺋﺰ ﳐﻔﻴﺔ ﳍﺎ ﲰﻚ ﺍﻟﺒﻼﻃﺔ ﺫﺍﺗﻪ ‪ ،‬ﻳﺘﻢ ﲢﺪﻳـﺪ‬ ‫ﺍﻟﺴﻤﺎﻛﺔ ﺍﻟﺪﻧﻴﺎ ﻟﻠﺒﻼﻃﺔ ﺍﺳﺘﻨﺎﺩﺍﹰ ﺇﱃ ﺃﺑﻌﺎﺩ ﺍﻟﺒﻼﻃﺔ ﻭﻣﻮﻗﻊ ﺍ‪‬ﺎﺯ ﻭﺗﻮﻓﺮ ﺃﻭ ﻋﺪﻡ ﺗﻮﻓﺮ ﺳﻘﻮﻁ ﰲ ﺍﻟﺒﻼﻃﺔ ﲟﺎ ﻻ ﻳﻘﻞ‬ ‫ﻋﻦ ﺍﻟﻘﻴﻢ ﺍﻟﻮﺍﺭﺩﺓ ﰲ ﺍﳉﺪﻭﻝ )‪ , (1-5‬ﻭﺗﺆﺧﺬ ) ‪ ( L‬ﰲ ﻫﺬﻩ ﺍﳊﺎﻟﺔ ﻣﺴﺎﻭﻳﺔ ﻟﻠﻤﺘﻮﺳﻂ ﺍﳊﺴﺎﰊ ﻟﻠﻤﺴﺎﻓﺘﲔ ﺑـﲔ‬ ‫ﳏﺎﻭﺭ ﺍﻷﻋﻤﺪﺓ ﰲ ﺍﻻﲡﺎﻫﲔ ﺍﳌﺘﻌﺎﻣﺪﻳﻦ ‪ ،‬ﻛﻤﺎ ﻳﺘﻢ ﲢﺪﻳﺪ ﺍﻟﺴﻤﻚ ﺍﻷﺩﱏ ﻟﻠﺠﻮﺍﺋﺰ ﻭﺍﻋﺘﻤﺎﺩ ﺍﻟﻘﻴﻤﺔ ﺍﻷﻛﱪ ﺑﻴﻨﻬﻤﺎ ‪.‬‬ ‫ﺍﳉﺪﻭﻝ ) ‪ ( 1-5‬ﺍﻟﺴﻤﻚ ﺍﻷﺩﱏ ﻟﻠﺒﻼﻃﺔ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬ ‫ﺟﻮﺍﺋﺰ ﻣﺘﺪﻟﻴﺔ‬ ‫ﲰﻜﻬﺎ ﻻ ﻳﻘﻞ‬

‫ﺍﻟﺴﻤﻚ‬ ‫ﺍﻷﺩﱏ‬ ‫)‪(t‬‬

‫ﺍﶈﻴﻂ ﺍﳌﻜﺎﻓﺊ ﻟﻠﺒﻼﻃﺔ ﻣﻘﺴﻮﻣﺎﹰ ﻋﻠﻰ ‪120‬‬

‫ﻋﻦ ﺿﻌﻒ‬ ‫ﲰﻚ ﺍﻟﺒﻼﻃﺔ‬ ‫ﺟﻮﺍﺋﺰ ﳐﻔﻴﺔ‬ ‫ﺃﻭ ﲰﻜﻬﺎ ﺃﻗﻞ‬ ‫ﻣﻦ ﺿﻌﻒ‬ ‫ﲰﻚ ﺍﻟﺒﻼﻃﺔ‬

‫ﺍ‪‬ﺎﺯﺍﺕ ﺍﻟﺪﺍﺧﻠﻴﺔ‬

‫ﺍ‪‬ﺎﺯﺍﺕ ﺍﻟﻄﺮﻓﻴﺔ‬

‫ﺩﻭﻥ ﺳﻘﻮﻁ‬

‫ﻣﻊ ﺳﻘﻮﻁ‬

‫ﺩﻭﻥ ﺳﻘﻮﻁ‬

‫ﻣﻊ ﺳﻘﻮﻁ‬

‫‪L / 27‬‬

‫‪L / 30‬‬

‫‪L / 24‬‬

‫‪L / 27‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪94‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﳛﺪﺩ ﺍﻟﺴﻤﻚ ﺍﻷﺩﱏ ) ‪ ( h‬ﻟﻠﺠﻮﺍﺋﺰ ﺗﺒﻌﺎﹰ ﻟﻄﺒﻴﻌﺔ ﺍﺳﺘﻨﺎﺩﻫﺎ ﻭﺍﺳﺘﻤﺮﺍﺭﻫﺎ ﻭ ﻟﻘﻴﻤﺔ ﳎﺎﺯﺍ‪‬ﺎ ﺍﻟﻔﻌﺎﻟﺔ ) ‪ , ( L‬ﲟﺎ ﻻ ﻳﻘﻞ‬ ‫ﻋﻦ ﺍﻟﻨﺴﺐ ﺍﻟﻮﺍﺭﺩﺓ ﰲ ﺍﳉﺪﻭﻝ )‪ , (2-5‬ﺇﻻ ﺇﺫﺍ ﰎﹼ ﺣﺴﺎﺏ ﺍﻟﺴﻬﻢ ﻭﺍﻟﺘﺄﻛﺪ ﻣﻦ ﻋﺪﻡ ﲡﺎﻭﺯﻩ ﻟﻠﻘﻴﻢ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ ﻭﺍﻟـﱵ‬ ‫ﻳﻌﻄﻴﻬﺎ ﺍﻟﻜﻮﺩ ﺍﻟﻌﺮﰊ ﺍﻟﺴﻮﺭﻱ ﰲ ﺍﻟﺒﻨﺪ )‪. (5-10‬‬ ‫ﺍﳉﺪﻭﻝ ) ‪ ( 2-5‬ﺍﻟﺴﻤﻚ ﺍﻷﺩﱏ ﻟﻠﺠﻮﺍﺋﺰ‬

‫ﻧﻮﻉ ﺍﳉﺎﺋﺰ‬

‫ﺍﳌﻘﺎﻭﻣﺔ ﺍﳌﻤﻴﺰﺓ‬ ‫ﻟﻠﺒﻴﺘﻮﻥ‬ ‫) ‪( MPa‬‬

‫ﺍﻟﺴﻤﻚ‬ ‫ﺍﻷﺩﱏ‬ ‫)‪(h‬‬

‫ﻣﺘﺪﱄ‬ ‫ﳐﻔﻲ‬

‫ﻧﻮﻉ ﺍﺳﺘﻨﺎﺩ ﺍﳉﺎﺋﺰ‬

‫‪f 'c < 20‬‬

‫ﻣﺴﺘﻤﺮ ﻣﻦ‬ ‫ﺑﺴﻴﻂ‬

‫ﻃﺮﻑ‬ ‫ﻭﺍﺣﺪ‬

‫ﻣﺴﺘﻤﺮ ﻣﻦ‬ ‫ﻃﺮﻓﲔ‬

‫ﻇﻔﺮ‬

‫‪L / 12‬‬

‫‪L / 13‬‬

‫‪L / 14‬‬

‫‪L/6‬‬

‫‪f 'c ≥ 20‬‬

‫‪L / 14‬‬

‫‪L / 15‬‬

‫‪L / 16‬‬

‫‪L/6‬‬

‫‪f 'c < 20‬‬

‫‪L / 14‬‬

‫‪L / 16‬‬

‫‪L / 18‬‬

‫‪L/8‬‬

‫‪f 'c ≥ 20‬‬

‫‪L / 16‬‬

‫‪L / 18‬‬

‫‪L / 120‬‬

‫‪L/8‬‬

‫‪ 3-5‬ﺍﳊﻤﻮﻻﺕ ﺍﳌﺆﺛﺮﺓ ﻋﻠﻰ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ ‪:‬‬ ‫‪ 1-3-5‬ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ ‪:‬‬ ‫ﻳﺘﻢ ﺗﻘﺪﻳﺮ ﻭﺣﺴﺎﺏ ﺍﻷﲪﺎﻝ ﺍﻟﺪﺍﺋﻤﺔ ) ﺍﻟﻮﺯﻥ ﺍﻟﺬﺍﰐ ﻟﻸﻋﺼﺎﺏ ﻭﺑﻼﻃﺔ ﺍﻟﺘﻐﻄﻴﺔ ‪ ،‬ﻭﺯﻥ ﺍﻟﻘﻮﺍﻟﺐ ﺍﻟﺪﺍﺋﻤﺔ ﻃﺒﻘـﺔ‬ ‫ﺍﻟﺘﻐﻄﻴﺔ ‪ ،‬ﺍﳉﺪﺭﺍﻥ ﻭﺍﻟﻘﻮﺍﻃﻊ ﺍﳋﻔﻴﻔﺔ ( ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ ﺍﻟﻮﺍﺣﺪ ﻣﻦ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﻻﲡﺎﻫﲔ ﺑﻨﻔﺲ‬ ‫ﺍﻷﺳﻠﻮﺏ ﺍﳌﺘﺒﻊ ﰲ ﺍﻟﺒﻨﺪ )‪ (1-3-2‬ﺍﳋﺎﺹ ﺑﺎﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ‪.‬‬ ‫ﺃﻣﺎ ﺍﳊﻤﻞ ﺍﳌﻜﺎﻓﺊ ﻟﻠﺠﺪﺭﺍﻥ ﺍﻟﺜﻘﻴﻠﺔ ﻋﻠﻰ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ ﻓﻴﺘﻢ ﲢﺪﻳﺪﻩ ﺑﺎﻷﺳﻠﻮﺏ‬ ‫ﻧﻔﺴﻪ ﺍﳌﻌﺘﻤﺪ ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ ﻭﺫﻟﻚ ﲝﺴﺎﺏ ﺃﻭﺯﺍﻥ ﲨﻴﻊ ﺍﳉﺪﺭﺍﻥ ﺍﳌﺘﻮﺿ‪‬ﻌﺔ ﻋﻠﻰ ﺍﻟﺒﻼﻃﺔ ﻣﻊ ﺃﻭﺯﺍﻥ‬ ‫ﺍﻷﲪﺎﻝ ﺍﳌﻴﺘﺔ ﺍﳌﻄﺒﻘﺔ ﺃﻭ ﺍﳌﻌﻠﻘﺔ ﻋﻠﻰ ﻫﺬﻩ ﺍﳉﺪﺭﺍﻥ ﻭﻣﻦ ﰒ ﺗﺼﻌﻴﺪﻫﺎ ﲟﻌﺎﻣﻞ ﺗﻜﺒﲑ ﻣﻘﺪﺍﺭﻩ ‪ 1,5‬ﻭﺗﻘﺴﻴﻢ ﺍﻟﻨـﺎﺗﺞ ﻋﻠـﻰ‬ ‫ﻣﺴﺎﺣﺔ ﺍﻟﺒﻼﻃﺔ ﺍﶈﺼﻮﺭﺓ ﺑﲔ ﺧﻄﻮﻁ ﺍﻻﺳﺘﻨﺎﺩ ‪.‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪95‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬

‫‪ 2-3-5‬ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ‪:‬‬ ‫ﺗﻘﺪﺭ ﻭﲢﺴﺐ ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ﻛﻤﺎ ﻫﻮ ﻭﺍﺭﺩ ﰲ ﺍﻟﺒﻨﺪ )‪ (2-3-2‬ﺍﳋﺎﺹ ﺑﺎﻟﺒﻼﻃﺎﺕ ﺍﳌﺼـﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡـﺎﻩ‬ ‫ﺍﻟﻮﺍﺣﺪ ‪.‬‬ ‫ﻣﺜﺎﻝ ﺗﻮﺿﻴﺤﻲ ﰲ ﺗﻘﺪﻳﺮ ﻭﺣﺴﺎﺏ ﺍﳊﻤﻮﻻﺕ ‪:‬‬ ‫ﻟﺘﻘﺪﻳﺮ ﺍﳊﻤﻮﻻﺕ ﻋﻠﻰ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ ﻧﻌﺘﻤﺪ ﺍﳌﻨﻄﻘﺔ ﺍﶈﺪﺩﺓ ﺑﲔ ﳏﺎﻭﺭ ﺍﻷﻋﺼﺎﺏ‬ ‫ﺍﳌﺘﺠﺎﻭﺭﺓ ﺑﺎﻻﲡﺎﻫﲔ ﻛﻮ‪‬ﺎ ﲤﺜﻞ ﺑﻘﻴﺔ ﺍﳌﻨﺎﻃﻖ ﺍﳌﺸﻜﻠﺔ ﻟﻠﺒﻼﻃﺔ ﻛﻤﺎ ﻫﻮ ﻣﻮﺿﺢ ﺑﺎﻟﺸﻜﻞ )‪ (2-5‬ﻭﺑﻨﺎﺀً ﻋﻠﻴﻪ ﻳـﺘﻢ ﺗﻘـﺪﻳﺮ‬ ‫ﺍﳊﻤﻮﻻﺕ ﺍﳌﻄﺒﻘﺔ ﻋﻠﻰ ﺷﺮﳛﺔ ﻣﺴﺎﺣﺘﻬﺎ ‪ S2‬ﻋﻠﻰ ﺍﻟﻨﺤﻮ ﺍﻟﺘﺎﱄ ‪:‬‬

‫‪S‬‬ ‫‪bw‬‬

‫‪S‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 2-5‬ﺍﳌﻨﻄﻘﺔ ﺍﳌﺪﺭﻭﺳﺔ ﻭﺍﳌﻤﺜﻠﺔ ﻟﺒﻘﻴﺔ ﺃﺟﺰﺍﺀ ﺍﻟﺒﻼﻃﺔ‬

‫ ﻭﺯﻥ ﺑﻼﻃﺔ ﺍﻟﺘﻐﻄﻴﺔ ﻭﺍﻷﻋﺼﺎﺏ‬‫ ﻭﺯﻥ ﺍﻟﻘﻮﺍﻟﺐ ﺍﻟﺪﺍﺋﻤﺔ‬‫ ﻭﺯﻥ ﻃﺒﻘﺔ ﺍﻟﺘﻐﻄﻴﺔ‬‫ ﺍﳊﻤﻞ ﺍﳌﻜﺎﻓﺊ ﻟﻠﺠﺪﺭﺍﻥ ﻭﺍﻟﻘﻮﺍﻃﻊ‬‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﻜﻠﻴﺔ‬

‫‪g 1 = [ S 2 .t − ( S − bw )2 .( t − t f ) ].γ c‬‬ ‫‪g 2 = n ⋅Wb‬‬ ‫‪g 3 =G 3 .S 2‬‬ ‫‪g 4 =G 4 . S 2‬‬ ‫‪i‬‬

‫‪∑g‬‬

‫=‪g‬‬

‫‪p = P .S 2‬‬ ‫‪w =g + p‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪96‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬

‫ﻭﳝﻜﻦ ﲢﻮﻳﻞ ﲪﻮﻻﺕ ﺍﳌﻨﻄﻘﺔ ﺍﶈﺪﺩﺓ ﺑﲔ ﳏﺎﻭﺭ ﺍﻷﻋﺼﺎﺏ ﺍﳌﺘﺠﺎﻭﺭﺓ ﺑﺎﻻﲡﺎﻫﲔ ﺇﱃ ﲪﻮﻟﺔ ﻣﻮﺯﻋﺔ ﺑﺎﻧﺘﻈﺎﻡ ﻋﻠﻰ‬ ‫ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ ﺍﻟﻮﺍﺣﺪ ﻋﻠﻰ ﺍﻟﻨﺤﻮ ﺍﻟﺘﺎﱄ ‪:‬‬ ‫‪g‬‬ ‫‪S2‬‬ ‫‪p‬‬ ‫‪P= 2‬‬ ‫‪S‬‬

‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ‬

‫=‪G‬‬

‫● ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﻜﻠﻴﺔ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ‬ ‫ﺣﻴﺚ ‪:‬‬

‫‪γc‬‬

‫ﺍﻟﻮﺯﻥ ﺍﳊﺠﻤﻲ ﻟﻠﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ‬

‫‪S‬‬

‫ﺍﳌﺴﺎﻓﺔ ﺑﲔ ﳏﺎﻭﺭ ﺍﻷﻋﺼﺎﺏ ﺍﳌﺘﺠﺎﻭﺭﺓ‬

‫‪t‬‬

‫ﺍﻟﺴﻤﻚ ﺍﻟﻜﻠﻲ ﻟﻠﺒﻼﻃﺔ ﺍﳌﻔﺮﻏﺔ‬

‫‪tf‬‬

‫ﲰﻚ ﺑﻼﻃﺔ ﺍﻟﺘﻐﻄﻴﺔ‬

‫‪bw‬‬

‫ﺍﻟﻌﺮﺽ ﺍﻟﻮﺳﻄﻲ ﳉﺬﻉ ﺍﻟﻌﺼﺐ‬

‫‪Wb‬‬

‫ﻭﺯﻥ ﺍﻟﻘﺎﻟﺐ ﺍﳌﻔﺮﻍ‬

‫‪n‬‬

‫‪w‬‬ ‫‪S2‬‬

‫= ) ‪W = (G + P‬‬

‫ﻋﺪﺩ ﺍﻟﻘﻮﺍﻟﺐ ﺍﳌﻔﺮﻏﺔ ﺍﳌﺘﻮﻓﺮﺓ ﰲ ﺍﳊﻴﺰ ﺍﳌﺪﺭﻭﺱ‬

‫‪ 4-5‬ﺣﺴﺎﺏ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ ‪:‬‬ ‫ﳝﺮ ﺣﺴﺎﺏ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ ﲟﺮﺣﻠﺘﲔ ‪:‬‬ ‫ﺍﻷﻭﱃ – ﻭﻫﻲ ﻣﺮﺣﻠﺔ ﺍﻟﺘﺤﻠﻴﻞ ﺣﻴﺚ ﻳﺘﻢ ﺣﺴﺎﺏ ﺍﻟﻘﻮﻯ ) ﻋﺰﻭﻡ ﺍﻧﻌﻄﺎﻑ ﻭﻗﻮﻯ ﻗﺎﺻﺔ ﰲ ﻣﻘﺎﻃﻊ ﺍﻷﻋﺼـﺎﺏ‬ ‫ﺍﻟﺒﺴﻴﻄﺔ ﺃﻭ ﺍﳌﺴﺘﻤﺮﺓ ﺍﻟﻨﺎﲨﺔ ﻋﻦ ﺗﻄﺒﻴﻖ ﺃﲪﺎﻝ ﺍﻻﺳﺘﺜﻤﺎﺭ ﺃﻭ ﺍﻷﲪﺎﻝ ﺍﻟﻘﺼﻮﻯ ) ﺍﳌﺼﻌﺪﺓ ( ﺣﺴﺐ ﺍﳊﺎﻟﺔ ﺍﳌﺪﺭﻭﺳﺔ ‪.‬‬ ‫ﺍﻟﺜﺎﻧﻴﺔ – ﻭﻫﻲ ﻣﺮﺣﻠﺔ ﺣﺴﺎﺏ ﻣﻘﺎﻃﻊ ﺣﺪﻳﺪ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻔﻌﺎﻝ )‪ , (As‬ﺍﻟﻼﺯﻡ ﻟﻴﻐﻄﻲ ﺍﻟﻘﻮﻯ ﺍﳌﻄﺒﻘﺔ ﰲ ﺍﳌﻘـﺎﻃﻊ‬ ‫ﻭﻧﻈﺮﺍﹰ ﻟﻜﻮﻥ ﺍﳌﻘﻄﻊ ﺍﻟﻌﺮﺿﻲ ﻷﻋﺼﺎﺏ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﻋﻠﻰ ﺷﻜﻞ ﺗﻴﻪ ) ‪ ( T‬ﻓﻴﺘﻮﺟﺐ ﻣﺮﺍﻋﺎﺓ ﻭﺗﻄﺒﻴﻖ ﻛﺎﻓﺔ ﻗﻮﺍﻋـﺪ‬ ‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﻋﻠﻰ ﺷﻜﻞ ﺗﻴﻪ ) ‪ ، ( T‬ﻭﻋﻨﺪﻣﺎ ﺗﺆﻭﻝ ﺍﳊﺎﻟﺔ ﺍﳊﺴﺎﺑﻴﺔ ﺇﱃ ﺍﻋﺘﺒﺎﺭ ﺍﳌﻘﺎﻃﻊ ﻣﺴﺘﻄﻴﻠﺔ ﻳﺘﻮﺟﺐ ﻋﻨﺪﻫﺎ‬ ‫ﻣﺮﺍﻋﺎﺓ ﻭﺗﻄﺒﻴﻖ ﻛﺎﻓﺔ ﻗﻮﺍﻋﺪ ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﺍﳌﺴﺘﻄﻴﻠﺔ ‪.‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪97‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫‪ 1-4-5‬ﲢﻠﻴﻞ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ ‪:‬‬ ‫ﺃ‪ -‬ﻳﺘﻢ ﲢﻠﻴﻞ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ ﺑﺎﻷﺳﻠﻮﺏ ﻧﻔﺴﻪ ﺍﳌﺘﺒﻊ ﰲ ﲢﻠﻴﻞ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼـﻤﺘﺔ ﺫﺍﺕ‬ ‫ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ﺍﳌﻮﺿﺢ ﰲ ﺍﻟﺒﻨﺪ )‪ (1-4-2‬ﺃﻱ ﺑﺎﻋﺘﻤﺎﺩ ﺷﺮﳛﺔ ﺑﻌﺮﺽ ﻣﺘﺮ ﻭﺍﺣﺪ ﻟﻜﻞ ﺍﲡﺎﻩ ﻋﻠﻰ ﺃﻥ ﺗﻮﺯﻉ ﺍﻷﲪﺎﻝ‬ ‫ﺍﻟﻜﻠﻴﺔ ﺍﳌﻄﺒﻘﺔ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ ﺍﻟﻮﺍﺣﺪ ﻣﻦ ﺍﻟﺒﻼﻃﺔ ﺑﺎﻻﲡﺎﻫﲔ ﻋﻠﻰ ﺍﻟﻨﺤﻮ ﺍﻟﺘﺎﱄ ‪:‬‬ ‫‪ -‬ﺍﳊﻤﻞ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻄﻮﻳﻞ‬

‫‪w 1 = α1 .w‬‬

‫‪ -‬ﺍﳊﻤﻞ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻘﺼﲑ‬

‫‪w 2 = α 2 .w‬‬

‫ﺃﻣﺎ ﺍﻟﻌﻮﺍﻣﻞ‬

‫‪α1 ; α 2‬‬

‫ﻓﺘﺆﺧﺬ ﻣﻦ ﺍﳉﺪﻭﻝ )‪ (3-5‬ﺗﺒﻌﺎﹰ ﻟﻨﻮﻉ ﻣﺴﺎﻧﺪ ﺍﻷﻋﺼﺎﺏ ‪.‬‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( 3-5‬ﻣﻌﺎﻣﻼﺕ ﺗﻮﺯﻳﻊ ﺍﻷﲪﺎﻝ ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬

‫ﺍﻷﻋﺼﺎﺏ ﻣﺴﻨﻮﺩﺓ ﻋﻠﻰ ﺟﻮﺍﺋﺰ‬ ‫ﺭﺋﻴﺴﻴﺔ ﳐﻔﻴﺔ‬

‫ﺍﻷﻋﺼﺎﺏ ﻣﺴﻨﻮﺩﺓ ﻋﻠﻰ ﺟﺪﺭﺍﻥ ﻧﺴﺒﺔ ﺍﻻﺳﺘﻄﺎﻟﺔ‬ ‫)‪(r‬‬ ‫ﺃﻭ ﺟﻮﺍﺋﺰ ﺭﺋﻴﺴﻴﺔ ﻣﺘﺪﻟﻴﺔ‬

‫‪α2‬‬

‫‪α1‬‬

‫‪α2‬‬

‫‪α1‬‬

‫‪0,253‬‬

‫‪0,747‬‬

‫‪0,207‬‬

‫‪0,614‬‬

‫‪0,76‬‬

‫‪0,293‬‬

‫‪0,707‬‬

‫‪0,237‬‬

‫‪0,575‬‬

‫‪0,8‬‬

‫‪0,396‬‬

‫‪0,604‬‬

‫‪0,316‬‬

‫‪0,481‬‬

‫‪0,9‬‬

‫‪0,500‬‬

‫‪0,500‬‬

‫‪0,396‬‬

‫‪0,396‬‬

‫‪1,0‬‬

‫‪0,595‬‬

‫‪0,405‬‬

‫‪0,473‬‬

‫‪0,323‬‬

‫‪1,1‬‬

‫‪0,672‬‬

‫‪0,328‬‬

‫‪0,543‬‬

‫‪0,262‬‬

‫‪1,2‬‬

‫‪0,742‬‬

‫‪0,258‬‬

‫‪0,606‬‬

‫‪0,212‬‬

‫‪1,3‬‬

‫‪0,797‬‬

‫‪0,203‬‬

‫‪0,660‬‬

‫‪0,172‬‬

‫‪1,4‬‬

‫‪0,834‬‬

‫‪0,166‬‬

‫‪0,706‬‬

‫‪0,140‬‬

‫‪1,5‬‬

‫‪0,869‬‬

‫‪0,131‬‬

‫‪0,746‬‬

‫‪0,113‬‬

‫‪1,6‬‬

‫‪0,914‬‬

‫‪0,086‬‬

‫‪0,806‬‬

‫‪0,077‬‬

‫‪1,8‬‬

‫‪0,941‬‬

‫‪0,059‬‬

‫‪0,819‬‬

‫‪0,053‬‬

‫‪2,0‬‬

‫‪1,000‬‬

‫‪0,000‬‬

‫‪1,000‬‬

‫‪0,000‬‬

‫∞‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪98‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬

‫ﻳﻮﺿﻊ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻨﺎﺗﺞ ﰲ ﺍﳊﺴﺎﺏ ﺿﻤﻦ ﺍﻷﻋﺼﺎﺏ ﺍﻟﻮﺍﻗﻌﺔ ﺿﻤﻦ ﺍﻟﺸﺮﳛﺔ ﺍﳌﺘﺮﻳﺔ ﻋﻠﻰ ﺃﻥ ﻳﻜﻮﻥ ﻧﺼﻴﺐ ﺍﻟﻌﺼﺐ‬ ‫ﺍﻟﻮﺍﺣﺪ ﻣﻦ ﻫﺬﺍ ﺍﻟﺘﺴﻠﻴﺢ ﻣﺴﺎﻭﹴ ﻟﻠﺤﻴﺰ ﺍﻟﺬﻱ ﻳﺸﻐﻠﻪ ﺍﻟﻌﺼﺐ ﻣﻦ ﺍﻟﺸﺮﳛﺔ ﺍﳌﺘﺮﻳﺔ ﰲ ﻛﻞ ﺍﲡﺎﻩ ‪ ،‬ﻭﳝﻜﻦ ﺻﻴﺎﻏﺔ ﺫﻟﻚ ﻋﻠﻰ‬ ‫ﺍﻟﻨﺤﻮ ﺍﻟﺘﺎﱄ ‪:‬‬ ‫‪Asr 2 = As 2 .S1‬‬

‫;‬

‫‪Asr 1 = As 1 .S 2‬‬

‫ﻛﻤﺎ ﳝﻜﻦ ﺍﺗﺒﺎﻉ ﺫﺍﺕ ﺍﻟﻘﻮﺍﻋﺪ ﺑﺎﻋﺘﺒﺎﺭ ﺍﻟﺸﺮﳛﺔ ﺍﳌﺪﺭﻭﺳﺔ ﻣﺴﺎﻭﻳﺔ ﻟﻠﻤﺴﺎﻓﺔ ﺑﲔ ﺍﶈـﺎﻭﺭ ﺍﻟﻄﻮﻟﻴـﺔ ﻟﻸﻋﺼـﺎﺏ‬ ‫ﺍﳌﺘﺠﺎﻭﺭﺓ ﺣﺴﺐ ﻛﻞ ﺍﲡﺎﻩ ﻣﺪﺭﻭﺱ ﻭﻳﻮﺿﻊ ﺍﻟﺘﺴﻠﻴﺢ ﻋﻨﺪﻫﺎ ﺿﻤﻦ ﺍﻟﻌﺼﺐ ﺍﻟﻮﺍﺣﺪ ﰲ ﺫﻟﻚ ﺍﻻﲡﺎﻩ ﻭﻳﻌﻤﻢ ﺍﻟﺘﺴﻠﻴﺢ ﻋﻠﻰ‬ ‫ﺑﺎﻗﻲ ﺍﻷﻋﺼﺎﺏ ﰲ ﺍﻻﲡﺎﻩ ﺫﺍﺗﻪ ‪.‬‬ ‫‪ 2-4-5‬ﺗﺼﻤﻴﻢ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬ ‫ﺗﻄﺒﻖ ﺫﺍﺕ ﺍﻟﻘﻮﺍﻋﺪ ﺍﳌﻨﺼﻮﺹ ﻋﻨﻬﺎ ﰲ ﺍﻟﺒﻨﺪ )‪ (2-4-4‬ﺍﳋﺎﺹ ﺑﺎﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ‪.‬‬ ‫‪ 5-5‬ﻣﺴﺎﺣﺎﺕ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺪﻧﻴﺎ ﻭﺍﻟﻘﺼﻮﻯ ﻟﻸﻋﺼﺎﺏ‬ ‫ﺗﻄﺒﻖ ﺫﺍﺕ ﺍﻟﻘﻮﺍﻋﺪ ﺍﳌﻨﺼﻮﺹ ﻋﻨﻬﺎ ﰲ ﺍﻟﺒﻨﺪ )‪ (5-4‬ﺍﳋﺎﺹ ﺑﺎﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ‪.‬‬ ‫‪ 6-5‬ﺍﺷﺘﺮﺍﻃﺎﺕ ﻭ ﺗﺮﺗﻴﺒﺎﺕ ﺗﺴﻠﻴﺢ ﺍﻷﻋﺼﺎﺏ ﻭﺑﻼﻃﺔ ﺍﻟﺘﻐﻄﻴﺔ‬ ‫ﺗﻄﺒﻖ ﺫﺍﺕ ﺍﻟﻘﻮﺍﻋﺪ ﺍﳌﻨﺼﻮﺹ ﻋﻨﻬﺎ ﰲ ﺍﻟﺒﻨﺪ )‪ (6-4‬ﺍﳋﺎﺹ ﺑﺎﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ‪.‬‬ ‫‪ 7-5‬ﺍﺷﺘﺮﺍﻃﺎﺕ ﻗﻮﺍﻟﺐ ﺍﻟﺒﻠﻮﻙ ﺃﻭ ﺍﻵﺟﺮ ﺍﳌﻔﺮﻍ‬ ‫ﺗﻄﺒﻖ ﺫﺍﺕ ﺍﻟﻘﻮﺍﻋﺪ ﺍﳌﻨﺼﻮﺹ ﻋﻨﻬﺎ ﰲ ﺍﻟﺒﻨﺪ )‪ (9-4‬ﺍﳋﺎﺹ ﺑﺎﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ‪.‬‬ ‫‪ 8-5‬ﻧﻘﻞ ﲪﻮﻻﺕ ﺍﻷﻋﺼﺎﺏ ﺇﱃ ﺍﳉﻮﺍﺋﺰ‬ ‫ﺗﻄﺒﻖ ﺫﺍﺕ ﺍﻟﻘﻮﺍﻋﺪ ﺍﳌﻨﺼﻮﺹ ﻋﻨﻬﺎ ﰲ ﺍﻟﺒﻨﺪ )‪ (7-3‬ﺍﳋﺎﺹ ﺑﺎﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻫﲔ ‪.‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪99‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬

‫ﺍﻟﻔﺼﻞ ﺍﻟﺴﺎﺩﺱ‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬ ‫‪ 1-6‬ﻣﻘﺪﻣﺔ ‪:‬‬ ‫ﺗﺴﺘﺨﺪﻡ ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ ﻭﺍﻟﱵ ﺗﻌﻤﻞ ﺑﺎﲡﺎﻫﲔ ﺣﻴﺚ ﻧﺴﺒﺔ ﺍﻟﺒﻌﺪ ﺍﻟﻄﻮﻳﻞ ﺇﱃ ﺍﻟﺒﻌﺪ ﺍﻟﻘﺼﲑ ﺃﺻﻐﺮ‬ ‫ﻣﻦ ‪ 2‬ﺃﻱ‬

‫‪L1‬‬ ‫)‪< 2‬‬ ‫‪L2‬‬

‫(‬

‫‪ ،‬ﻋﻠﻤﺎﹰ ﺃﻧﻪ ﻳﻔﻀﻞ ﺍﺳﺘﻌﻤﺎﳍﺎ ﻋﻨﺪﻣﺎ ﺗﻜﻮﻥ ﺍﻟﻘﺎﻋﺎﺕ ﻣﺮﺑﻌﺔ ﺃﻭ ﻗﺮﻳﺒﺔ ﻣﻦ ﺍﳌﺮﺑﻌـﺔ‪ ،‬ﻛﺄﺭﺿـﻴﺎﺕ‬

‫ﻭﺃﺳﻘﻒ ﰲ ﺍﳌﺒﺎﱐ ﺍﻟﻌﺎﻣﺔ ﻭﺍﻹﺩﺍﺭﻳﺔ ﻟﺘﻐﻄﻴﺔ ﺍﻟﻘﺎﻋﺎﺕ ﺫﺍﺕ ﺍ‪‬ﺎﺯﺍﺕ ﺍﻟﻜﺒﲑﺓ ﻭﺍﻟﱵ ﺗﺘﺮﺍﻭﺡ ﺑﲔ ‪ ، ( 8 – 12 ) m‬ﻭﺍﻟﺸﻜﻞ‬ ‫) ‪ ( 1-6‬ﻳﻌﺮﺽ ﺻﻮﺭﺓ ﺳﻔﻠﻴﺔ ﺗﻮﺿﺢ ﲨﻠﺔ ﺟﻮﺍﺋﺰ ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ ﻭﻫﻲ ﻋﺒﺎﺭﺓ ﻋﻦ ﺑﻼﻃﺔ ﻣﺴﺘﻮﻳﺔ ﻣﺼﻤﺘﺔ‬ ‫) ﺑﻼﻃﺔ ﺗﻐﻄﻴﺔ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ ( ﲰﺎﻛﺘﻬﺎ ﺗﺘﺮﺍﻭﺡ ﺑﲔ ‪ (50 – 80 ) mm‬ﻭﺟﻮﺍﺋﺰ ﻣﺘﻌﺎﻣﺪﺓ ﺑﺎﻻﲡﺎﻫﲔ ﻛﻤﺎ ﳝﻜﻦ ﺍﻋﺘﺒﺎﺭﻫﺎ‬ ‫ﺑﻼﻃﺎﺕ ﻣﻔﺮﻏﺔ ﺫﺍﺕ ﺃﻋﺼﺎﺏ ﺑﺎﻻﲡﺎﻫﲔ ﻓﻴﻬﺎ ﺍﻟﺘﺒﺎﻋﺪ ﺑﲔ ﳏﺎﻭﺭ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﻮﺍﺯﻳﺔ ﻳﺰﻳﺪ ﻋﻠﻰ ﻭﺍﺣﺪ ﻣﺘﺮ ﺑﺎﻻﲡـﺎﻫﲔ ‪.‬‬ ‫ﺗﺆﺧﺬ ﻋﺎﺩﺓﹰ ﻧﺴﺒﺔ ﺍﻟﺘﺒﺎﻋﺪﺍﺕ ﺑﲔ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﻮﺍﺯﻳﺔ ﺑﺎﻻﲡﺎﻩ ﺍﻷﻭﻝ ﺇﱃ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﻮﺍﺯﻳﺔ ﺑﺎﻻﲡﺎﻩ ﺍﻟﺜﺎﱐ ﻗﺮﻳﺒﺔﹰ ﻣﻦ ﺍﻟﻮﺍﺣﺪ ﺃﻭ‬ ‫ﺿﻤﻦ ﺍ‪‬ﺎﻝ ) ‪.( 1 – 1,2‬‬

‫‪.‬‬ ‫ﺍﻟﺸﻜﻞ ) ‪ ( 1-6‬ﻣﻨﻈﺮ ﺳﻔﻠﻲ ﻟﻠﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪101‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬

‫‪ 2-6‬ﺍﻻﺷﺘﺮﺍﻃﺎﺕ ﺍﻟﺒﻌﺪﻳﺔ ﻟﻠﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ ‪:‬‬ ‫ﻳﺘﻢ ﲢﺪﻳﺪ ﺍﻟﺴﻤﺎﻛﺔ ﺍﻟﻜﻠﻴﺔ ﺍﻟﺪﻧﻴﺎ ) ‪ ( t‬ﻟﻠﺒﻼﻃﺔ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ ﺑﺎﲡﺎﻫﲔ ﻭ ﺍﻟﱵ ﻳﺰﻳﺪ ﺍﻟﺘﺒﺎﻋﺪ ﺑﲔ ﳏﺎﻭﺭ‬ ‫ﺃﻋﺼﺎ‪‬ﺎ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﻟﻮﺍﺣﺪ ) ‪ ( 1000 mm‬ﺑﺎﻻﲡﺎﻫﲔ ﻭﺗﺴﺘﻨﺪ ﻋﻠﻰ ﺟﻮﺍﺋﺰ ﳏﻴﻄﻴﺔ ﳍﺎ ﺫﺍﺕ ﺍﻟﺴﻤﺎﻛﺔ ﻭﻓﻖ ﺍﳉﺪﻭﻝ )‪, (1-6‬‬ ‫ﻭﺗﺆﺧﺬ ) ‪ ( L‬ﰲ ﻫﺬﻩ ﺍﳊﺎﻟﺔ ﻣﺴﺎﻭﻳﺔ ﻟﻠﻤﺘﻮﺳﻂ ﺍﳊﺴﺎﰊ ‪‬ﺎﺯﻱ ﺍﻟﺒﻼﻃﺔ ﺑﺎﻻﲡﺎﻫﲔ ﺍﳌﺘﻌﺎﻣﺪﻳﻦ ‪.‬‬ ‫ﺍﳉﺪﻭﻝ ) ‪ ( 1-6‬ﺍﻟﺴﻤﻚ ﺍﻷﺩﱏ ﻟﻠﺒﻼﻃﺔ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬ ‫ﺍ‪‬ﺎﺯﺍﺕ ﺍﻟﺪﺍﺧﻠﻴﺔ‬

‫ﺍﻟﺴﻤﻚ ﺍﻷﺩﱏ‬

‫)‪(t‬‬

‫ﺍ‪‬ﺎﺯﺍﺕ ﺍﻟﻄﺮﻓﻴﺔ‬

‫ﺩﻭﻥ ﺳﻘﻮﻁ‬

‫ﻣﻊ ﺳﻘﻮﻁ‬

‫ﺩﻭﻥ ﺳﻘﻮﻁ‬

‫ﻣﻊ ﺳﻘﻮﻁ‬

‫‪L / 22‬‬

‫‪L / 24‬‬

‫‪L / 20‬‬

‫‪L / 22‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪102‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬

‫‪ 3-6‬ﺍﳊﻤﻮﻻﺕ ﺍﳌﺆﺛﺮﺓ ﻋﻠﻰ ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ ‪:‬‬ ‫‪ 1-3-6‬ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ ‪:‬‬ ‫ﻳﺘﻢ ﺗﻘﺪﻳﺮ ﻭﺣﺴﺎﺏ ﺍﻷﲪﺎﻝ ﺍﻟﺪﺍﺋﻤﺔ ) ﺍﻟﻮﺯﻥ ﺍﻟﺬﺍﰐ ‪ ،‬ﺍﻟﺘﻐﻄﻴﺔ ‪ ،‬ﺍﳉﺪﺭﺍﻥ ﻭﺍﻟﻘﻮﺍﻃﻊ ﺍﳋﻔﻴﻔﺔ ﻭﺍﻟﺜﻘﻴﻠﺔ( ﻋﻠﻰ ﺍﳌﺘـﺮ‬ ‫ﺍﳌﺮﺑﻊ ﺍﻟﻮﺍﺣﺪ ﻣﻦ ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ ‪.‬‬ ‫‪ 2-3-6‬ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ‪:‬‬ ‫ﺗﻘﺪﺭ ﻭﲢﺴﺐ ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ ﺍﻟﻮﺍﺣﺪ ﻣﻦ ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ ﺣﺴﺐ ﻃﺒﻴﻌـﺔ‬ ‫ﺍﺳﺘﺜﻤﺎﺭ ﺍﻟﺒﻼﻃﺔ ﻛﻤﺎ ﻫﻮ ﻭﺍﺭﺩ ﰲ ﺍﻟﺒﻨﺪ ) ‪ ( 2-3-2‬ﺍﳋﺎﺻﺔ ﺑﺎﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ ‪.‬‬ ‫ﻣﺜﺎﻝ ﺗﻮﺿﻴﺤﻲ ﰲ ﺗﻘﺪﻳﺮ ﻭﺣﺴﺎﺏ ﺍﳊﻤﻮﻻﺕ ‪:‬‬ ‫ﻟﺘﻘﺪﻳﺮ ﺍﳊﻤﻮﻻﺕ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ ﻣﻦ ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ ﳝﻜﻦ ﺍﺗﺒﺎﻉ ﻣﺎ ﻳﻠﻲ ) ﺍﻧﻈﺮ ﺍﻟﺸﻜﻞ )‪: ( (2-6‬‬ ‫‪S2‬‬

‫‪S2‬‬

‫‪S2‬‬

‫‪L2‬‬ ‫‪S2‬‬

‫‪S2‬‬

‫‪S2‬‬

‫‪S2‬‬

‫‪S2‬‬ ‫‪S1‬‬

‫‪b2 S2-b2 b2‬‬ ‫‪b1‬‬

‫‪b1‬‬

‫‪S1‬‬

‫‪S1-b1‬‬

‫‪S1‬‬

‫‪S1-b1‬‬

‫‪S1‬‬

‫‪S1‬‬ ‫‪L1‬‬

‫‪t‬‬

‫‪b1‬‬

‫‪b1‬‬

‫‪S1‬‬

‫‪h‬‬ ‫‪S1‬‬

‫‪S2‬‬ ‫‪t‬‬ ‫‪h‬‬

‫‪S1‬‬

‫‪b2 S2-b2 b2‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 2-6‬ﺍﳌﻨﻄﻘﺔ ﺍﳌﺪﺭﻭﺳﺔ ﻭﺍﳌﻤﺜﻠﺔ ﻟﺒﻘﻴﺔ ﺃﺟﺰﺍﺀ ﺍﻟﺒﻼﻃﺔ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪103‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬

‫‪ -‬ﻭﺯﻥ ﺍﻟﺒﻼﻃﺎﺕ ﻭﺍﳉﻮﺍﺋﺰ ﰲ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ‬

‫‪1‬‬ ‫‪.[( S1 . S2 ) . h − (S1 − b1 ) . ( S2 − b2 ) . (h − t )]. γ c‬‬ ‫) ‪(S1 . S2‬‬

‫‪ -‬ﻭﺯﻥ ﻃﺒﻘﺔ ﺍﻟﺘﻐﻄﻴﺔ‬

‫‪g 2 = (2 → 3) KN / m 2‬‬ ‫‪1,5 .Wp‬‬ ‫= ‪g3‬‬ ‫) ‪( L1 . L2‬‬

‫ ﺍﳊﻤﻞ ﺍﳌﻜﺎﻓﺊ ﻟﻠﺠﺪﺭﺍﻥ ﻭﺍﻟﻘﻮﺍﻃﻊ‬‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ‬

‫‪g = ∑ gi‬‬

‫● ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ‬

‫‪p‬‬

‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﻜﻠﻴﺔ‬ ‫ﺣﻴﺚ ‪:‬‬

‫‪w =g + p‬‬

‫‪γc‬‬

‫ﺍﻟﻮﺯﻥ ﺍﳊﺠﻤﻲ ﻟﻠﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ‬

‫‪L1‬‬

‫ﺍﻟﺒﻌﺪ ﺍﻟﻄﻮﻳﻞ ﻟﻠﺒﻼﻃﺔ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬

‫‪L2‬‬

‫ﺍﻟﺒﻌﺪ ﺍﻟﻘﺼﲑ ﻟﻠﺒﻼﻃﺔ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬

‫‪S1‬‬

‫ﺍﳌﺴﺎﻓﺔ ﺑﲔ ﳏﺎﻭﺭ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﻮﺍﺯﻳﺔ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻄﻮﻳﻞ‬

‫‪S2‬‬

‫ﺍﳌﺴﺎﻓﺔ ﺑﲔ ﳏﺎﻭﺭ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﻮﺍﺯﻳﺔ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻘﺼﲑ‬

‫‪t‬‬

‫ﲰﻚ ﺍﻟﺒﻼﻃﺔ ﺍﳌﺼﻤﺘﺔ‬

‫‪h‬‬

‫ﺍﻟﺴﻤﻚ ﺍﻟﻜﻠﻲ ﻟﻠﺠﻮﺍﺋﺰ ﻭﺍﻟﺒﻼﻃﺔ ﺍﳌﺼﻤﺘﺔ‬

‫‪b1‬‬ ‫‪Wp‬‬

‫ﻋﺮﺽ ﺍﳉﺎﺋﺰ ﺍﻟﻄﻮﻳﻞ ﻭ‬

‫= ‪g1‬‬

‫‪b2‬‬

‫ﻋﺮﺽ ﺍﳉﺎﺋﺰ ﺍﻟﻘﺼﲑ‬

‫ﺍﻟﻮﺯﻥ ﺍﻟﻜﻠﻲ ﻟﻠﺠﺪﺭﺍﻥ ﺍﻟﺜﻘﻴﻠﺔ‬

‫ﺍﳊﻤﻮﻻﺕ ﺍﳌﺼﻌﺪﺓ‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ ﺍﳌﺼﻌﺪﺓ‬

‫‪g u =1,5 . g‬‬

‫● ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ﺍﳌﺼﻌﺪﺓ‬

‫‪p u = 1,8 . p‬‬

‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﻜﻠﻴﺔ ﺍﳌﺼﻌﺪﺓ‬

‫‪wu = g u + p u‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪104‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬

‫‪ 4-6‬ﲢﻠﻴﻞ ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ ‪:‬‬ ‫‪ 1-4-6‬ﲢﻠﻴﻞ ﺑﻼﻃﺎﺕ ﺗﻐﻄﻴﺔ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬ ‫ﻳﺘﻢ ﲢﻠﻴﻞ ﻭﺣﺴﺎﺏ ﺑﻼﻃﺎﺕ ﺍﻟﺘﻐﻄﻴﺔ ﺑﺬﺍﺕ ﺃﺳﻠﻮﺏ ﲢﻠﻴﻞ ﻭﺣﺴﺎﺏ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺍﻟﻌﺎﻣﻠﺔ ﺑﺎﲡﺎﻫﲔ ‪.‬‬ ‫‪ 2-4-6‬ﲢﻠﻴﻞ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬ ‫ﺃﻭﻻﹰ ‪ :‬ﻳﺘﻢ ﺗﻮﺯﻳﻊ ﺍﻷﲪﺎﻝ ﰲ ﺍﻻﲡﺎﻫﲔ ﺑﻄﺮﻳﻘﺔ ﺍﻟﺸﺮﺍﺋﺢ ﻛﻤﺎ ﻳﻠﻲ ‪:‬‬ ‫‪ -‬ﺍﳊﻤﻞ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻄﻮﻳﻞ‬

‫)‪(6-1‬‬

‫‪w 1 = α1 .w‬‬

‫‪ -‬ﺍﳊﻤﻞ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻘﺼﲑ‬

‫)‪(6-2‬‬

‫‪w 2 = α 2 .w‬‬

‫ﺃﻣﺎ ﺍﻟﻌﻮﺍﻣﻞ‬

‫‪α1 ; α 2‬‬

‫ﻓﺘﺆﺧﺬ ﻣﻦ ﺍﳉﺪﻭﻝ ) ‪. ( 1-6‬‬ ‫ﺍﳉﺪﻭﻝ ) ‪( 1-6‬‬

‫ﻣﻌﺎﻣﻼﺕ ﺗﻮﺯﻳﻊ ﺍﻷﲪﺎﻝ ﰲ‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬

‫ﻧﺴﺒﺔ ﺍﻻﺳﺘﻄﺎﻟﺔ‬ ‫)‪(r‬‬

‫‪α2‬‬

‫‪α1‬‬

‫‪0,253‬‬

‫‪0,747‬‬

‫‪0,76‬‬

‫‪0,293‬‬

‫‪0,707‬‬

‫‪0,8‬‬

‫‪0,396‬‬

‫‪0,604‬‬

‫‪0,9‬‬

‫‪0,500‬‬

‫‪0,500‬‬

‫‪1,0‬‬

‫‪0,595‬‬

‫‪0,405‬‬

‫‪1,1‬‬

‫‪0,672‬‬

‫‪0,328‬‬

‫‪1,2‬‬

‫‪0,742‬‬

‫‪0,258‬‬

‫‪1,3‬‬

‫‪0,797‬‬

‫‪0,203‬‬

‫‪1,4‬‬

‫‪0,834‬‬

‫‪0,166‬‬

‫‪1,5‬‬

‫‪0,869‬‬

‫‪0,131‬‬

‫‪1,6‬‬

‫‪0,914‬‬

‫‪0,086‬‬

‫‪1,8‬‬

‫‪0,941‬‬

‫‪0,059‬‬

‫‪2,0‬‬

‫‪1,000‬‬

‫‪0,000‬‬

‫∞‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪105‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬

‫ﺛﺎﻧﻴﺎﹰ ‪ :‬ﻳﺘﻢ ﺩﺭﺍﺳﺔ ﻭﺗﺼﻤﻴﻢ ﺍﻟﺸﺮﳛﺔ ﺍﳌﺘﺮﻳﺔ ﺍﻟﻮﺳﻄﻴﺔ ﻟﻜﻞ ﺍﲡﺎﻩ ﻭﺣﺴﺎﺏ ﻛﻤﻴﺔ ﺗﺴﻠﻴﺤﻬﺎ ‪ ، As1 ; As2‬ﰒ ﻳﻮﺿـﻊ‬ ‫ﻛﻤﻴﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻼﺯﻡ ﺿﻤﻦ ﺍﳉﺎﺋﺰ ﺍﻟﻮﺳﻄﻲ ﺣﻴﺚ ﺗﻜﻮﻥ ﻛﻤﻴﺔ ﺍﻟﺘﺴﻠﻴﺢ ﻣﺴﺎﻭﻳﺔ ﻟﻜﻤﻴﺔ ﺗﺴﻠﻴﺢ ﺍﻟﺸﺮﳛﺔ ﺍﳌﺘﺮﻳﺔ ﺑﻌﺪ ﺿﺮ‪‬ﺎ‬ ‫ﺑﺎﳌﺴﺎﻓﺔ ﺑﲔ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﻮﺍﺯﻳﺔ ﰲ ﺍﻻﲡﺎﻩ ﺍﳌﺪﺭﻭﺱ ﺃﻱ ‪:‬‬ ‫ﻛﻤﻴﺔ ﺗﺴﻠﻴﺢ ﺍﳉﺎﺋﺰ ﺍﻟﻮﺳﻄﻲ ﺑﺎﻻﲡﺎﻩ ﺍﻷﻭﻝ ‪:‬‬

‫‪Asm1= As1 . S1‬‬

‫ﻛﻤﻴﺔ ﺗﺴﻠﻴﺢ ﺍﳉﺎﺋﺰ ﺍﻟﻮﺳﻄﻲ ﺑﺎﻻﲡﺎﻩ ﺍﻟﺜﺎﱐ ‪:‬‬

‫‪Asm2= As2 . S2‬‬

‫ﺛﺎﻟﺜﺎﹰ ‪ :‬ﲣﻔﺾ ﻛﻤﻴﺔ ﺗﺴﻠﻴﺢ ﺍﳉﻮﺍﺋﺰ ﺍﻟﱵ ﺗﻘﻊ ﺧﺎﺭﺝ ﻭﺳﻂ ﺍﻟﺒﻼﻃﺔ ﺣﺴﺐ ﻣﻮﻗﻌﻬﺎ ﻭﻋﺪﺩ ﺍﳉﻮﺍﺋﺰ ﰲ ﺍﻻﲡﺎﻩ ﺍﳌﺪﺭﻭﺱ‬ ‫ﻭﻓﻖ ﺍﻟﺸﻜﻞ )‪ (3-6‬ﻭﺍﳉﺪﻭﻝ )‪ (2-6‬ﺍﻟﺘﺎﻟﻴﲔ ‪:‬‬ ‫‪L2‬‬

‫‪L2/2‬‬

‫‪L1/2‬‬

‫‪1‬‬ ‫‪2‬‬

‫‪L1‬‬

‫ﺍﳉﺎﺋﺰ‬ ‫ﺍﻟﻮﺳﻄﻲ ‪3‬‬ ‫‪2‬‬ ‫‪1‬‬ ‫‪1‬‬

‫‪2‬‬

‫‪3 3‬‬ ‫ﺍﳉﺎﺋﺰ‬ ‫ﺍﻟﻮﺳﻄﻲ‬

‫‪2‬‬

‫‪1‬‬

‫ﺍﻟﺸﻜﻞ ) ‪ ( 3-6‬ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ ﺑﺎﻻﲡﺎﻫﲔ‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪106‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬

‫ﺍﳉﺪﻭﻝ ) ‪( 2-6‬‬

‫ﻧﺴﺐ ﻋﺰﻭﻡ ﺍﳉﻮﺍﺋﺰ ﻏﲑ ﺍﻟﻮﺳﻄﻴﺔ ﺇﱃ ﻋﺰﻡ ﺍﳉﺎﺋﺰ ﺍﻟﻮﺳﻄﻲ‬

‫ﻋﺪﺩ ﺍﳉﻮﺍﺋﺰ‬ ‫ﺑﺎﻻﲡﺎﻩ‬

‫ﺭﻗﻢ ﺍﻟﻌﺼﺐ ﺍﳌﺪﺭﻭﺱ‬

‫‪ L1‬ﺃﻭ‬

‫‪6‬‬

‫‪5‬‬

‫‪4‬‬

‫‪3‬‬

‫‪2‬‬

‫‪1‬‬

‫‪-‬‬

‫‪-‬‬

‫‪-‬‬

‫‪-‬‬

‫‪-‬‬

‫‪1,00‬‬

‫‪1‬‬

‫‪-‬‬

‫‪-‬‬

‫‪-‬‬

‫‪-‬‬

‫‪-‬‬

‫‪0,869‬‬

‫‪2‬‬

‫‪-‬‬

‫‪-‬‬

‫‪-‬‬

‫‪-‬‬

‫‪1,00‬‬

‫‪0,712‬‬

‫‪3‬‬

‫‪-‬‬

‫‪-‬‬

‫‪-‬‬

‫‪-‬‬

‫‪0,952‬‬

‫‪0,594‬‬

‫‪4‬‬

‫‪-‬‬

‫‪-‬‬

‫‪-‬‬

‫‪1,00‬‬

‫‪0,869‬‬

‫‪0,506‬‬

‫‪5‬‬

‫‪-‬‬

‫‪-‬‬

‫‪-‬‬

‫‪0,976‬‬

‫‪0,787‬‬

‫‪0,440‬‬

‫‪6‬‬

‫‪-‬‬

‫‪-‬‬

‫‪1,00‬‬

‫‪0,928‬‬

‫‪0,712‬‬

‫‪0,388‬‬

‫‪7‬‬

‫‪-‬‬

‫‪-‬‬

‫‪0,986‬‬

‫‪0,869‬‬

‫‪0,648‬‬

‫‪0,347‬‬

‫‪8‬‬

‫‪-‬‬

‫‪1,00‬‬

‫‪0,952‬‬

‫‪0,812‬‬

‫‪0,590‬‬

‫‪0,314‬‬

‫‪9‬‬

‫‪-‬‬

‫‪0,992‬‬

‫‪0,914‬‬

‫‪0,748‬‬

‫‪0,547‬‬

‫‪0,286‬‬

‫‪10‬‬

‫‪1,00‬‬

‫‪0,967‬‬

‫‪0,869‬‬

‫‪0,712‬‬

‫‪0,506‬‬

‫‪0,262‬‬

‫‪11‬‬

‫‪0,993‬‬

‫‪0,935‬‬

‫‪0,822‬‬

‫‪0,667‬‬

‫‪0,470‬‬

‫‪0,242‬‬

‫‪12‬‬

‫‪L2‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪107‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﻣﻠﺤﻖ ‪A‬‬ ‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ‪ -‬ﺍﻟﻄﺮﻳﻘﺔ ﺍﳌﺮﻧﺔ‬

‫ﺍﳌﻠﺤﻖ‬ ‫‪/A/‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪109‬‬


‫ﻣﻠﺤﻖ ‪A‬‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ‪ -‬ﺍﻟﻄﺮﻳﻘﺔ ﺍﳌﺮﻧﺔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ )‪ (A-1‬ﻋﻼﻗﺎﺕ ﺍﻟﻌﻮﺍﻣﻞ ﺍﻟﻼﺑﻌﺪﻳﺔ‬ ‫ﺍﳋﺎﺻﺔ ﲝﺎﻟﺔ ﺣﺪ ﲡﺎﻭﺯ ﺍﻹﺟﻬﺎﺩﺍﺕ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ‬ ‫‪n = 15‬‬

‫‪‬‬ ‫‪‬‬ ‫‪‬‬

‫‪n .σ ′C‬‬ ‫‪σS‬‬

‫= ‪γ0‬‬

‫‪‬‬ ‫‪γ0‬‬ ‫‪2‬‬ ‫‪= n . µ .  −1 + −1 +‬‬ ‫‪1+ γ0‬‬ ‫‪n .µ‬‬ ‫‪‬‬

‫= ‪γX‬‬

‫‪γ 0 .γ X‬‬ ‫‪2‬‬ ‫‪γX‬‬ ‫‪3‬‬

‫= ‪n .µ‬‬

‫‪γ Z = 1−‬‬

‫‪2‬‬ ‫‪1‬‬ ‫=‬ ‫‪γ X .γ Z‬‬ ‫‪ωb‬‬ ‫‪γ 0 .γ X .γ Z‬‬ ‫‪2‬‬

‫= ‪γh‬‬

‫= ‪ωa = n . µ .γ Z‬‬

‫‪γ X  γ X  γ X .γ Z‬‬ ‫‪1‬‬ ‫‪. 1 −‬‬ ‫=‬ ‫=‪‬‬ ‫‪2 ‬‬ ‫‪3 ‬‬ ‫‪2‬‬ ‫‪(γ h )2‬‬

‫= ‪ωb‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪110‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﻣﻠﺤﻖ ‪A‬‬ ‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ‪ -‬ﺍﻟﻄﺮﻳﻘﺔ ﺍﳌﺮﻧﺔ‬

‫ﺍﳉﺪﻭﻝ )‪ (A-2‬ﻗﻴﻢ ﺍﻟﻌﻮﺍﻣﻞ ﺍﻟﻼﺑﻌﺪﻳﺔ ﺍﳋﺎﺻﺔ ﲝﺎﻟﺔ ﺣﺪ ﲡﺎﻭﺯ ﺍﻹﺟﻬﺎﺩﺍﺕ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ‬ ‫‪γZ‬‬

‫‪γX‬‬

‫‪ωa‬‬

‫‪ωb‬‬

‫‪γh‬‬

‫‪γ0‬‬

‫‪n .µ‬‬

‫‪0,956‬‬

‫‪0,132‬‬

‫‪0,0096‬‬

‫‪0,063‬‬

‫‪3,984‬‬

‫‪0,152‬‬

‫‪0,010‬‬

‫‪0,954‬‬

‫‪0,138‬‬

‫‪0,0105‬‬

‫‪0,066‬‬

‫‪3,901‬‬

‫‪0,160‬‬

‫‪0,011‬‬

‫‪0,952‬‬

‫‪0,143‬‬

‫‪0,0114‬‬

‫‪0,068‬‬

‫‪3,827‬‬

‫‪0,167‬‬

‫‪0,012‬‬

‫‪0,950‬‬

‫‪0,149‬‬

‫‪0,0124‬‬

‫‪0,071‬‬

‫‪3,761‬‬

‫‪0,175‬‬

‫‪0,013‬‬

‫‪0,949‬‬

‫‪0,154‬‬

‫‪0,0133‬‬

‫‪0,073‬‬

‫‪3,701‬‬

‫‪0,182‬‬

‫‪0,014‬‬

‫‪0,947‬‬

‫‪0,159‬‬

‫‪0,0142‬‬

‫‪0,075‬‬

‫‪3,646‬‬

‫‪0,189‬‬

‫‪0,015‬‬

‫‪0,945‬‬

‫‪0,164‬‬

‫‪0,0151‬‬

‫‪0,077‬‬

‫‪3,596‬‬

‫‪0,196‬‬

‫‪0,016‬‬

‫‪0,944‬‬

‫‪0,168‬‬

‫‪0,0160‬‬

‫‪0,079‬‬

‫‪3,549‬‬

‫‪0,202‬‬

‫‪0,017‬‬

‫‪0,942‬‬

‫‪0,173‬‬

‫‪0,0170‬‬

‫‪0,081‬‬

‫‪3,507‬‬

‫‪0,209‬‬

‫‪0,018‬‬

‫‪0,941‬‬

‫‪0,177‬‬

‫‪0,0179‬‬

‫‪0,083‬‬

‫‪3,467‬‬

‫‪0,215‬‬

‫‪0,019‬‬

‫‪0,940‬‬

‫‪0,181‬‬

‫‪0,0188‬‬

‫‪0,085‬‬

‫‪3,429‬‬

‫‪0,221‬‬

‫‪0,020‬‬

‫‪0,938‬‬

‫‪0,185‬‬

‫‪0,0197‬‬

‫‪0,087‬‬

‫‪3,394‬‬

‫‪0,227‬‬

‫‪0,021‬‬

‫‪0,937‬‬

‫‪0,189‬‬

‫‪0,0206‬‬

‫‪0,089‬‬

‫‪3,361‬‬

‫‪0,233‬‬

‫‪0,022‬‬

‫‪0,936‬‬

‫‪0,193‬‬

‫‪0,0215‬‬

‫‪0,090‬‬

‫‪3,330‬‬

‫‪0,239‬‬

‫‪0,023‬‬

‫‪0,935‬‬

‫‪0,196‬‬

‫‪0,0224‬‬

‫‪0,092‬‬

‫‪3,301‬‬

‫‪0,244‬‬

‫‪0,024‬‬

‫‪0,933‬‬

‫‪0,200‬‬

‫‪0,0233‬‬

‫‪0,093‬‬

‫‪3,273‬‬

‫‪0,250‬‬

‫‪0,025‬‬

‫‪0,932‬‬

‫‪0,204‬‬

‫‪0,0242‬‬

‫‪0,095‬‬

‫‪3,247‬‬

‫‪0,256‬‬

‫‪0,026‬‬

‫‪0,931‬‬

‫‪0,207‬‬

‫‪0,0251‬‬

‫‪0,096‬‬

‫‪3,222‬‬

‫‪0,261‬‬

‫‪0,027‬‬

‫‪0,930‬‬

‫‪0,210‬‬

‫‪0,0260‬‬

‫‪0,098‬‬

‫‪3,198‬‬

‫‪0,266‬‬

‫‪0,028‬‬

‫‪0,929‬‬

‫‪0,214‬‬

‫‪0,0269‬‬

‫‪0,099‬‬

‫‪3,175‬‬

‫‪0,272‬‬

‫‪0,029‬‬

‫‪0,928‬‬

‫‪0,217‬‬

‫‪0,0278‬‬

‫‪0,101‬‬

‫‪3,154‬‬

‫‪0,277‬‬

‫‪0,030‬‬

‫‪0,926‬‬

‫‪0,223‬‬

‫‪0,0296‬‬

‫‪0,103‬‬

‫‪3,113‬‬

‫‪0,287‬‬

‫‪0,032‬‬

‫‪0,924‬‬

‫‪0,229‬‬

‫‪0,0314‬‬

‫‪0,106‬‬

‫‪3,075‬‬

‫‪0,297‬‬

‫‪0,034‬‬

‫‪0,922‬‬

‫‪0,235‬‬

‫‪0,0332‬‬

‫‪0,108‬‬

‫‪3,040‬‬

‫‪0,307‬‬

‫‪0,036‬‬

‫‪0,920‬‬

‫‪0,240‬‬

‫‪0,0350‬‬

‫‪0,111‬‬

‫‪3,008‬‬

‫‪0,316‬‬

‫‪0,038‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪111‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﻣﻠﺤﻖ ‪A‬‬ ‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ‪ -‬ﺍﻟﻄﺮﻳﻘﺔ ﺍﳌﺮﻧﺔ‬

‫ﺍﳉﺪﻭﻝ )‪ (A-2‬ﻗﻴﻢ ﺍﻟﻌﻮﺍﻣﻞ ﺍﻟﻼﺑﻌﺪﻳﺔ ﺍﳋﺎﺻﺔ ﲝﺎﻟﺔ ﺣﺪ ﲡﺎﻭﺯ ﺍﻹﺟﻬﺎﺩﺍﺕ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ‬ ‫‪γZ‬‬

‫‪γX‬‬

‫‪ωa‬‬

‫‪ωb‬‬

‫‪γh‬‬

‫‪γ0‬‬

‫‪n .µ‬‬

‫‪0,918‬‬

‫‪0,246‬‬

‫‪0,0367‬‬

‫‪0,113‬‬

‫‪2,978‬‬

‫‪0,326‬‬

‫‪0,040‬‬

‫‪0,916‬‬

‫‪0,251‬‬

‫‪0,0385‬‬

‫‪0,115‬‬

‫‪2,950‬‬

‫‪0,335‬‬

‫‪0,042‬‬

‫‪0,915‬‬

‫‪0,256‬‬

‫‪0,0402‬‬

‫‪0,117‬‬

‫‪2,923‬‬

‫‪0,344‬‬

‫‪0,044‬‬

‫‪0,913‬‬

‫‪0,261‬‬

‫‪0,0420‬‬

‫‪0,119‬‬

‫‪2,898‬‬

‫‪0,353‬‬

‫‪0,046‬‬

‫‪0,911‬‬

‫‪0,266‬‬

‫‪0,0438‬‬

‫‪0,121‬‬

‫‪2,875‬‬

‫‪0,362‬‬

‫‪0,048‬‬

‫‪0,910‬‬

‫‪0,270‬‬

‫‪0,0455‬‬

‫‪0,123‬‬

‫‪2,852‬‬

‫‪0,370‬‬

‫‪0,050‬‬

‫‪0,908‬‬

‫‪0,275‬‬

‫‪0,0472‬‬

‫‪0,125‬‬

‫‪2,831‬‬

‫‪0,379‬‬

‫‪0,052‬‬

‫‪0,907‬‬

‫‪0,279‬‬

‫‪0,0490‬‬

‫‪0,127‬‬

‫‪2,811‬‬

‫‪0,387‬‬

‫‪0,054‬‬

‫‪0,906‬‬

‫‪0,283‬‬

‫‪0,0507‬‬

‫‪0,128‬‬

‫‪2,792‬‬

‫‪0,395‬‬

‫‪0,056‬‬

‫‪0,904‬‬

‫‪0,287‬‬

‫‪0,0524‬‬

‫‪0,130‬‬

‫‪2,774‬‬

‫‪0,403‬‬

‫‪0,058‬‬

‫‪0,903‬‬

‫‪0,292‬‬

‫‪0,0542‬‬

‫‪0,132‬‬

‫‪2,756‬‬

‫‪0,412‬‬

‫‪0,060‬‬

‫‪0,901‬‬

‫‪0,296‬‬

‫‪0,0559‬‬

‫‪0,133‬‬

‫‪2,740‬‬

‫‪0,420‬‬

‫‪0,062‬‬

‫‪0,900‬‬

‫‪0,299‬‬

‫‪0,0576‬‬

‫‪0,135‬‬

‫‪2,724‬‬

‫‪0,427‬‬

‫‪0,064‬‬

‫‪0,899‬‬

‫‪0,303‬‬

‫‪0,0593‬‬

‫‪0,136‬‬

‫‪2,709‬‬

‫‪0,435‬‬

‫‪0,066‬‬

‫‪0,898‬‬

‫‪0,307‬‬

‫‪0,0610‬‬

‫‪0,138‬‬

‫‪2,694‬‬

‫‪0,443‬‬

‫‪0,068‬‬

‫‪0,896‬‬

‫‪0,311‬‬

‫‪0,0628‬‬

‫‪0,139‬‬

‫‪2,680‬‬

‫‪0,451‬‬

‫‪0,070‬‬

‫‪0,895‬‬

‫‪0,316‬‬

‫‪0,0653‬‬

‫‪0,141‬‬

‫‪2,660‬‬

‫‪0,462‬‬

‫‪0,073‬‬

‫‪0,893‬‬

‫‪0,321‬‬

‫‪0,0679‬‬

‫‪0,143‬‬

‫‪2,641‬‬

‫‪0,473‬‬

‫‪0,076‬‬

‫‪0,891‬‬

‫‪0,326‬‬

‫‪0,0704‬‬

‫‪0,145‬‬

‫‪2,623‬‬

‫‪0,484‬‬

‫‪0,079‬‬

‫‪0,890‬‬

‫‪0,331‬‬

‫‪0,0729‬‬

‫‪0,147‬‬

‫‪2,605‬‬

‫‪0,495‬‬

‫‪0,082‬‬

‫‪0,888‬‬

‫‪0,336‬‬

‫‪0,0755‬‬

‫‪0,149‬‬

‫‪2,589‬‬

‫‪0,506‬‬

‫‪0,085‬‬

‫‪0,886‬‬

‫‪0,341‬‬

‫‪0,0780‬‬

‫‪0,151‬‬

‫‪2,574‬‬

‫‪0,517‬‬

‫‪0,088‬‬

‫‪0,885‬‬

‫‪0,345‬‬

‫‪0,0805‬‬

‫‪0,153‬‬

‫‪2,559‬‬

‫‪0,527‬‬

‫‪0,091‬‬

‫‪0,883‬‬

‫‪0,350‬‬

‫‪0,0830‬‬

‫‪0,154‬‬

‫‪2,544‬‬

‫‪0,538‬‬

‫‪0,094‬‬

‫‪0,882‬‬

‫‪0,354‬‬

‫‪0,0856‬‬

‫‪0,156‬‬

‫‪2,531‬‬

‫‪0,548‬‬

‫‪0,097‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪112‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﻣﻠﺤﻖ ‪A‬‬ ‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ‪ -‬ﺍﻟﻄﺮﻳﻘﺔ ﺍﳌﺮﻧﺔ‬

‫ﺍﳉﺪﻭﻝ )‪ (A-2‬ﻗﻴﻢ ﺍﻟﻌﻮﺍﻣﻞ ﺍﻟﻼﺑﻌﺪﻳﺔ ﺍﳋﺎﺻﺔ ﲝﺎﻟﺔ ﺣﺪ ﲡﺎﻭﺯ ﺍﻹﺟﻬﺎﺩﺍﺕ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ‬ ‫‪γZ‬‬

‫‪γX‬‬

‫‪ωa‬‬

‫‪ωb‬‬

‫‪γh‬‬

‫‪γ0‬‬

‫‪n .µ‬‬

‫‪0,881‬‬

‫‪0,358‬‬

‫‪0,0881‬‬

‫‪0,158‬‬

‫‪2,518‬‬

‫‪0,558‬‬

‫‪0,100‬‬

‫‪0,879‬‬

‫‪0,364‬‬

‫‪0,0914‬‬

‫‪0,160‬‬

‫‪2,501‬‬

‫‪0,572‬‬

‫‪0,104‬‬

‫‪0,877‬‬

‫‪0,369‬‬

‫‪0,0947‬‬

‫‪0,162‬‬

‫‪2,486‬‬

‫‪0,585‬‬

‫‪0,108‬‬

‫‪0,875‬‬

‫‪0,374‬‬

‫‪0,0980‬‬

‫‪0,164‬‬

‫‪2,471‬‬

‫‪0,598‬‬

‫‪0,112‬‬

‫‪0,874‬‬

‫‪0,379‬‬

‫‪0,1013‬‬

‫‪0,166‬‬

‫‪2,456‬‬

‫‪0,611‬‬

‫‪0,116‬‬

‫‪0,872‬‬

‫‪0,384‬‬

‫‪0,1046‬‬

‫‪0,168‬‬

‫‪2,443‬‬

‫‪0,624‬‬

‫‪0,120‬‬

‫‪0,870‬‬

‫‪0,389‬‬

‫‪0,1079‬‬

‫‪0,169‬‬

‫‪2,430‬‬

‫‪0,637‬‬

‫‪0,124‬‬

‫‪0,869‬‬

‫‪0,394‬‬

‫‪0,1112‬‬

‫‪0,171‬‬

‫‪2,418‬‬

‫‪0,650‬‬

‫‪0,128‬‬

‫‪0,867‬‬

‫‪0,398‬‬

‫‪0,1145‬‬

‫‪0,173‬‬

‫‪2,406‬‬

‫‪0,662‬‬

‫‪0,132‬‬

‫‪0,866‬‬

‫‪0,403‬‬

‫‪0,1177‬‬

‫‪0,174‬‬

‫‪2,394‬‬

‫‪0,675‬‬

‫‪0,136‬‬

‫‪0,864‬‬

‫‪0,407‬‬

‫‪0,1210‬‬

‫‪0,176‬‬

‫‪2,384‬‬

‫‪0,687‬‬

‫‪0,140‬‬

‫‪0,862‬‬

‫‪0,414‬‬

‫‪0,1259‬‬

‫‪0,178‬‬

‫‪2,368‬‬

‫‪0,706‬‬

‫‪0,146‬‬

‫‪0,860‬‬

‫‪0,420‬‬

‫‪0,1307‬‬

‫‪0,181‬‬

‫‪2,353‬‬

‫‪0,724‬‬

‫‪0,152‬‬

‫‪0,858‬‬

‫‪0,426‬‬

‫‪0,1356‬‬

‫‪0,183‬‬

‫‪2,339‬‬

‫‪0,742‬‬

‫‪0,158‬‬

‫‪0,856‬‬

‫‪0,432‬‬

‫‪0,1404‬‬

‫‪0,185‬‬

‫‪2,326‬‬

‫‪0,760‬‬

‫‪0,164‬‬

‫‪0,854‬‬

‫‪0,437‬‬

‫‪0,1452‬‬

‫‪0,187‬‬

‫‪2,314‬‬

‫‪0,777‬‬

‫‪0,170‬‬

‫‪0,852‬‬

‫‪0,443‬‬

‫‪0,1500‬‬

‫‪0,189‬‬

‫‪2,302‬‬

‫‪0,795‬‬

‫‪0,176‬‬

‫‪0,851‬‬

‫‪0,448‬‬

‫‪0,1548‬‬

‫‪0,191‬‬

‫‪2,290‬‬

‫‪0,812‬‬

‫‪0,182‬‬

‫‪0,849‬‬

‫‪0,453‬‬

‫‪0,1596‬‬

‫‪0,192‬‬

‫‪2,280‬‬

‫‪0,829‬‬

‫‪0,188‬‬

‫‪0,847‬‬

‫‪0,458‬‬

‫‪0,1644‬‬

‫‪0,194‬‬

‫‪2,269‬‬

‫‪0,846‬‬

‫‪0,194‬‬

‫‪0,846‬‬

‫‪0,463‬‬

‫‪0,1691‬‬

‫‪0,196‬‬

‫‪2,259‬‬

‫‪0,863‬‬

‫‪0,200‬‬

‫‪0,843‬‬

‫‪0,471‬‬

‫‪0,1770‬‬

‫‪0,199‬‬

‫‪2,244‬‬

‫‪0,891‬‬

‫‪0,210‬‬

‫‪0,840‬‬

‫‪0,479‬‬

‫‪0,1849‬‬

‫‪0,201‬‬

‫‪2,229‬‬

‫‪0,919‬‬

‫‪0,220‬‬

‫‪0,838‬‬

‫‪0,486‬‬

‫‪0,1927‬‬

‫‪0,204‬‬

‫‪2,216‬‬

‫‪0,946‬‬

‫‪0,230‬‬

‫‪0,836‬‬

‫‪0,493‬‬

‫‪0,2005‬‬

‫‪0,206‬‬

‫‪2,203‬‬

‫‪0,973‬‬

‫‪0,240‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪113‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﻣﻠﺤﻖ ‪A‬‬ ‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ‪ -‬ﺍﻟﻄﺮﻳﻘﺔ ﺍﳌﺮﻧﺔ‬

‫ﺍﳉﺪﻭﻝ )‪ (A-2‬ﻗﻴﻢ ﺍﻟﻌﻮﺍﻣﻞ ﺍﻟﻼﺑﻌﺪﻳﺔ ﺍﳋﺎﺻﺔ ﲝﺎﻟﺔ ﺣﺪ ﲡﺎﻭﺯ ﺍﻹﺟﻬﺎﺩﺍﺕ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ‬ ‫‪γZ‬‬

‫‪γX‬‬

‫‪ωa‬‬

‫‪ωb‬‬

‫‪γh‬‬

‫‪γ0‬‬

‫‪n .µ‬‬

‫‪0,833‬‬

‫‪0,500‬‬

‫‪0,2083‬‬

‫‪0,208‬‬

‫‪2,191‬‬

‫‪1,000‬‬

‫‪0,250‬‬

‫‪0,831‬‬

‫‪0,507‬‬

‫‪0,2161‬‬

‫‪0,211‬‬

‫‪2,180‬‬

‫‪1,027‬‬

‫‪0,260‬‬

‫‪0,829‬‬

‫‪0,513‬‬

‫‪0,2238‬‬

‫‪0,213‬‬

‫‪2,169‬‬

‫‪1,053‬‬

‫‪0,270‬‬

‫‪0,827‬‬

‫‪0,519‬‬

‫‪0,2316‬‬

‫‪0,215‬‬

‫‪2,159‬‬

‫‪1,079‬‬

‫‪0,280‬‬

‫‪0,825‬‬

‫‪0,525‬‬

‫‪0,2393‬‬

‫‪0,217‬‬

‫‪2,149‬‬

‫‪1,105‬‬

‫‪0,290‬‬

‫‪0,823‬‬

‫‪0,531‬‬

‫‪0,2469‬‬

‫‪0,218‬‬

‫‪2,140‬‬

‫‪1,131‬‬

‫‪0,300‬‬

‫‪0,821‬‬

‫‪0,536‬‬

‫‪0,2546‬‬

‫‪0,220‬‬

‫‪2,131‬‬

‫‪1,156‬‬

‫‪0,310‬‬

‫‪0,819‬‬

‫‪0,542‬‬

‫‪0,2622‬‬

‫‪0,222‬‬

‫‪2,123‬‬

‫‪1,182‬‬

‫‪0,320‬‬

‫‪0,818‬‬

‫‪0,547‬‬

‫‪0,2698‬‬

‫‪0,224‬‬

‫‪2,115‬‬

‫‪1,207‬‬

‫‪0,330‬‬

‫‪0,816‬‬

‫‪0,552‬‬

‫‪0,2774‬‬

‫‪0,225‬‬

‫‪2,107‬‬

‫‪1,232‬‬

‫‪0,340‬‬

‫‪0,814‬‬

‫‪0,557‬‬

‫‪0,2850‬‬

‫‪0,227‬‬

‫‪2,100‬‬

‫‪1,257‬‬

‫‪0,350‬‬

‫‪0,813‬‬

‫‪0,562‬‬

‫‪0,2926‬‬

‫‪0,228‬‬

‫‪2,093‬‬

‫‪1,282‬‬

‫‪0,360‬‬

‫‪0,811‬‬

‫‪0,566‬‬

‫‪0,3001‬‬

‫‪0,230‬‬

‫‪2,086‬‬

‫‪1,306‬‬

‫‪0,370‬‬

‫‪0,810‬‬

‫‪0,571‬‬

‫‪0,3077‬‬

‫‪0,231‬‬

‫‪2,080‬‬

‫‪1,331‬‬

‫‪0,380‬‬

‫‪0,808‬‬

‫‪0,575‬‬

‫‪0,3152‬‬

‫‪0,233‬‬

‫‪2,074‬‬

‫‪1,355‬‬

‫‪0,390‬‬

‫‪0,807‬‬

‫‪0,580‬‬

‫‪0,3227‬‬

‫‪0,234‬‬

‫‪2,068‬‬

‫‪1,380‬‬

‫‪0,400‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪114‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﻣﻠﺤﻖ ‪A‬‬ ‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ‪ -‬ﺍﻟﻄﺮﻳﻘﺔ ﺍﳌﺮﻧﺔ‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( A-3‬ﺗﺼﻤﻴﻢ ﺍﳌﻘﺎﻃﻊ ﺍﳌﺴﺘﻄﻴﻠﺔ ﺃﺣﺎﺩﻳﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳋﺎﺿﻌﺔ ﻟﻼﻧﻌﻄﺎﻑ – ﺣﺎﻟﺔ ﺣﺪ ﲡﺎﻭﺯ ﺍﻹﺟﻬﺎﺩﺍﺕ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ‬ ‫ﳎﺎﻝ ﺍﻻﺳﺘﺨﺪﺍﻡ‬

‫ﺍﳌﻌﻄﻴﺎﺕ‬

‫ﺗﺼــﻤﻴﻢ ﺍﳌﻘﻄــﻊ‬

‫;‪M‬‬ ‫‪b‬‬

‫ﺍﻟﺒﻴﺘﻮﱐ ﻭﻣﻘﻄﻊ ﻓﻮﻻﺫ‬ ‫ﺍﻟﺘﺴﻠﻴﺢ‬

‫; ‪σ 'c‬‬ ‫‪σs‬‬

‫ﺍﳌﺘﺤﻮﻻﺕ‬ ‫ﺍ‪‬ﻬﻮﻟﺔ‬

‫ﺍﻟﻌﻼﻗــــﺎﺕ ﺍﳌﺴﺎﻋـــﺪﺓ‬

‫ﺍﻟﻔﺮﺿﻴﺎﺕ‬

‫;‪d‬‬

‫; ‪σ 'c =σ 'c‬‬

‫‪As‬‬

‫‪σ s =σ s‬‬

‫ﻋﻦ ﻃﺮﻳﻖ ﺍﳉﺪﺍﻭﻝ‬ ‫ﳓﺴﺐ‬

‫'‪σ‬‬ ‫‪γ0 =n . c‬‬ ‫‪σs‬‬ ‫ﰒ ﻧﻘﺮﺃ‬

‫‪γ z ;γ h‬‬

‫ﺍﻟﻌﻼﻗﺎﺕ‬ ‫ﺍﳊﺴﺎﺑﻴﺔ‬

‫ﻋﻦ ﻃﺮﻳﻖ ﺍﻟﺪﺳﺎﺗﲑ‬

‫‪σ 'c‬‬ ‫‪σs‬‬ ‫‪γ‬‬ ‫‪γx = 0‬‬ ‫‪1+ γ 0‬‬ ‫‪γ‬‬ ‫‪γ z =1− x‬‬ ‫‪3‬‬

‫‪γ0 =n .‬‬

‫‪2‬‬ ‫‪γ x .γ z‬‬

‫‪M‬‬ ‫‪b .σ 'c‬‬

‫‪d =γh .‬‬

‫‪M‬‬ ‫‪γ z .σs .d‬‬

‫= ‪γh‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪115‬‬

‫= ‪As‬‬

‫ﻣﻼﺣﻈﺎﺕ‬ ‫ـﻊ‬ ‫ﺍﳌﻘﻄـــ‬ ‫ﻣﺘﻮﺍﺯﻥ ﺩﻭﻣﺎﹰ‬


‫ﻣﻠﺤﻖ ‪A‬‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ‪ -‬ﺍﻟﻄﺮﻳﻘﺔ ﺍﳌﺮﻧﺔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( A-4‬ﺗﺼﻤﻴﻢ ﺍﳌﻘﺎﻃﻊ ﺍﳌﺴﺘﻄﻴﻠﺔ ﺃﺣﺎﺩﻳﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳋﺎﺿﻌﺔ ﻟﻼﻧﻌﻄﺎﻑ – ﺣﺎﻟﺔ ﺣﺪ ﲡﺎﻭﺯ ﺍﻹﺟﻬﺎﺩﺍﺕ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ‬

‫ﳎﺎﻝ ﺍﻻﺳﺘﺨﺪﺍﻡ‬

‫ﺍﳌﻌﻄﻴﺎﺕ‬

‫ﺍﳌﺘﺤﻮﻻﺕ‬ ‫ﺍ‪‬ﻬﻮﻟﺔ‬

‫ﺍﻟﻔﺮﺿﻴﺎﺕ‬

‫‪As‬‬

‫‪σs =σs‬‬

‫;‪M‬‬ ‫;‪b‬‬ ‫ﺗﺼﻤﻴﻢ ﻣﻘﺎﻃﻊ ﻓﻮﻻﺫ‬ ‫ﺍﻟﺘﺴﻠﻴﺢ ﳌﻘﺎﻃﻊ ﺑﻴﺘﻮﻧﻴﺔ‬ ‫ﻣﻔﺮﻭﺿﺔ ‪.‬‬

‫;‪d‬‬ ‫; ‪σ 'c‬‬ ‫‪σs‬‬

‫ﺍﻟﻌﻼﻗــــﺎﺕ ﺍﳌﺴﺎﻋـــﺪﺓ‬ ‫ﻋﻦ ﻃﺮﻳﻖ ﺍﻟﺪﺳﺎﺗﲑ‬ ‫ﻋﻦ ﻃﺮﻳﻖ ﺍﳉﺪﺍﻭﻝ‬ ‫ﳓﺴﺐ‬

‫‪ -1‬ﳓﺴﺐ‬

‫‪ωb ; γ z‬‬

‫= ‪ωa‬‬

‫‪ -2‬ﻧﻔﺮﺽ ﻗﻴﻤﺔ ﻟـ ‪ γ z‬ﺑﲔ ‪ 0,8‬و ‪0, 9‬‬

‫‪n .M‬‬ ‫= ‪ -3 ωa‬ﳓﺴﺐ‬ ‫‪σ s .b .d 2‬‬

‫ﰒ ﻧﻘﺮﺃ‬

‫‪2‬‬

‫‪n .M‬‬ ‫‪σ s .b . d‬‬

‫ﺍﻟﻌﻼﻗﺎﺕ‬ ‫ﺍﳊﺴﺎﺑﻴﺔ‬

‫‪ω‬‬ ‫‪n .µ = a‬‬ ‫‪γz‬‬

‫‪M‬‬ ‫= ‪As‬‬ ‫‪γ z .σ s d‬‬

‫ﻣﻼﺣﻈﺎﺕ‬ ‫ﰲ ﺣﺎﻝ‬ ‫‪σ 'c > σ 'c‬‬ ‫ﳛﺘﺎﺝ ﺍﳌﻘﻄـﻊ ﺇﱃ‬

‫ﺗﺴﻠﻴﺢ ﺛﻨـﺎﺋﻲ ﺃﻭ‬ ‫ﺯﻳﺎﺩﺓ ﻋﺮﺽ ﺍﳉﺎﺋﺰ‬ ‫‪2‬‬ ‫‪ γ x = n . µ ( −1 + 1 +‬ﻭﻧﺘﺤﻘــﻖ ﻣــﻦ ﺇﺟﻬــﺎﺩ ‪b‬‬ ‫‪ -4‬ﳓﺴﺐ )‬ ‫‪n .µ‬‬ ‫ﻭﻳﻜــﻮﻥ ﺍﳌﻘﻄــﻊ‬ ‫ﺍﻟﺒﻴﺘﻮﻥ‬ ‫‪γ‬‬ ‫ﻣﺘﻮﺍﺯﻧﺎﹰ ﰲ ﺣﺎﻟـﺔ‬ ‫‪γ z =1− x‬‬ ‫‪ - 5‬ﳓﺴﺐ‬ ‫‪3‬‬ ‫ﺧﺎﺻﺔ ﻓﻘﻂ ﻋﻨﺪﻣﺎ‬ ‫‪M‬‬ ‫= '‪σ c‬‬ ‫'‪≤ σ c‬‬ ‫ﺗﻌﺎﺩ ﺍﳋﻄﻮﺍﺕ ﻣﻦ ‪ 2‬ﺇﱃ ‪ 5‬ﺣﱴ ﻳﺼﺒﺢ ﺗﻐﲑ ‪ γ z‬ﻋﻦ‬ ‫‪2‬‬ ‫‪σ 'c = σ 'c‬‬ ‫‪ωb .b.d‬‬

‫‪γ x .γ z‬‬ ‫ﺳﺎﺑﻘﺘﻬﺎ ﺻﻐﲑﺍﹰ ﰒ ﳓﺴﺐ‬ ‫‪2‬‬

‫= ‪ωb‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪116‬‬


‫ﻣﻠﺤﻖ ‪A‬‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ‪ -‬ﺍﻟﻄﺮﻳﻘﺔ ﺍﳌﺮﻧﺔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( A-5‬ﺗﺼﻤﻴﻢ ﺍﳌﻘﺎﻃﻊ ﺍﳌﺴﺘﻄﻴﻠﺔ ﺃﺣﺎﺩﻳﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳋﺎﺿﻌﺔ ﻟﻼﻧﻌﻄﺎﻑ – ﺣﺎﻟﺔ ﺣﺪ ﲡﺎﻭﺯ ﺍﻹﺟﻬﺎﺩﺍﺕ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ‬ ‫ﳎﺎﻝ ﺍﻻﺳﺘﺨﺪﺍﻡ‬

‫ﺍﳌﻌﻄﻴﺎﺕ‬

‫ﺍﳌﺘﺤﻮﻻﺕ‬ ‫ﺍ‪‬ﻬﻮﻟﺔ‬

‫ﺍﻟﻔﺮﺿﻴﺎﺕ‬

‫ﻧﺴــﺒﺔ ﺍﻟﺘﺴــﻠﻴﺢ‬

‫;‪M‬‬

‫;‪d‬‬

‫;‪b‬‬

‫‪As‬‬

‫‪σs =σs‬‬

‫ﻣﺸﺮﻭﻃﺔ ﺍﻗﺘﺼﺎﺩﻳﺎﹰ‬

‫;‪µ‬‬

‫ﺍﻟﻌﻼﻗــــﺎﺕ ﺍﳌﺴﺎﻋـــﺪﺓ‬ ‫ﻋﻦ ﻃﺮﻳﻖ ﺍﻟﺪﺳﺎﺗﲑ‬ ‫ﻋﻦ ﻃﺮﻳﻖ ﺍﳉﺪﺍﻭﻝ‬ ‫ﺑﺪﻻﻟﺔ ‪n . µ‬‬ ‫ﳓﺴﺐ ‪n . µ‬‬ ‫ﳓﺴﺐ‬ ‫ﻭﳒﺪ‬

‫; ‪γo‬‬

‫; ‪σ 'c‬‬

‫;‪γh‬‬

‫‪σs‬‬

‫‪γz‬‬

‫‪2‬‬ ‫)‬ ‫‪n.µ‬‬

‫‪γ x = n.µ (−1 + 1 +‬‬

‫‪γ‬‬ ‫‪γo = x‬‬ ‫‪1− γ x‬‬ ‫‪γ‬‬ ‫‪γ z =1− x‬‬ ‫‪3‬‬ ‫‪2‬‬ ‫‪γ x .γ z‬‬

‫ﺍﻟﻌﻼﻗﺎﺕ ﺍﳊﺴﺎﺑﻴﺔ‬

‫‪γ o .σ s‬‬ ‫'‪≤ σ c‬‬ ‫‪n‬‬

‫‪M‬‬ ‫'‪b.σ c‬‬

‫ﰲ ﺣﺎﻝ‬

‫‪As = µ .b.d‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪117‬‬

‫‪σ 'c > σ 'c‬‬

‫= '‪σ c‬‬

‫‪d =γh‬‬

‫= ‪γh‬‬

‫ﻣﻼﺣﻈﺎﺕ‬

‫ـﻠﻴﺢ‬ ‫ـﺒﺔ ﺍﻟﺘﺴـ‬ ‫ﻓﻨﺴـ‬ ‫ﺃﻛﱪ ﻣﻦ ﺍﻟﻨﺴـﺒﺔ‬ ‫ﺍﻟﺘﻮﺍﺯﻧﻴﺔ ﻭﳓﺘﺎﺝ ﺇﱃ‬ ‫ﺗﺴﻠﻴﺢ ﺿـﻐﻂ ﺃﻭ‬ ‫ﲣﻔﻴﺾ‬ ‫‪µ‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﻣﻠﺤﻖ ‪A‬‬ ‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ‪ -‬ﺍﻟﻄﺮﻳﻘﺔ ﺍﳌﺮﻧﺔ‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( A-6‬ﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﺍﳌﺴﺘﻄﻴﻠﺔ ﺃﺣﺎﺩﻳﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳋﺎﺿﻌﺔ ﻟﻼﻧﻌﻄﺎﻑ – ﺣﺎﻟﺔ ﺣﺪ ﲡﺎﻭﺯ ﺍﻹﺟﻬﺎﺩﺍﺕ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ‬ ‫ﳎﺎﻝ ﺍﻻﺳﺘﺨﺪﺍﻡ‬

‫ﺍﳌﻌﻄﻴﺎﺕ‬

‫ﺍﳌﺘﺤﻮﻻﺕ‬ ‫ﺍ‪‬ﻬﻮﻟﺔ‬

‫;‪M‬‬ ‫ﺍﻟﺘﺤﻘﻖ ﻣـﻦ ﲢﻤـﻞ‬ ‫ـﺬﺓ‬ ‫ـﺎﻃﻊ ﻣﻨﻔــ‬ ‫ﻣﻘــ‬ ‫ﻭﻣﺴﺘﺜﻤﺮﺓ‬

‫;‪b‬‬ ‫;‪d‬‬ ‫; ‪As‬‬ ‫; ‪σ 'c‬‬ ‫‪σs‬‬

‫; ‪σ 'c‬‬

‫ﳓﺴﺐ‬

‫ﺍﻟﻌﻼﻗــــﺎﺕ ﺍﳌﺴﺎﻋـــﺪﺓ‬ ‫ﻋﻦ ﻃﺮﻳﻖ ﺍﻟﺪﺳﺎﺗﲑ‬ ‫ﻋﻦ ﻃﺮﻳﻖ ﺍﳉﺪﺍﻭﻝ‬

‫‪As‬‬ ‫‪n.µ = n.‬‬ ‫‪b.d‬‬

‫‪σs‬‬ ‫ﳒﺪ‬

‫‪ω a ;ω b‬‬

‫‪As‬‬ ‫‪b.d‬‬

‫‪n.µ = n.‬‬

‫‪2‬‬ ‫‪γ x = n.µ ( −1 + 1 +‬‬ ‫)‬ ‫‪n.µ‬‬

‫‪γx‬‬ ‫‪3‬‬

‫‪γ z =1−‬‬

‫ﺍﻟﻌﻼﻗﺎﺕ ﺍﳊﺴﺎﺑﻴﺔ‬

‫‪M‬‬ ‫‪≤σ 'c‬‬ ‫‪ωb .b .d 2‬‬ ‫‪n .M‬‬ ‫= ‪σs‬‬ ‫‪≤σs‬‬ ‫‪ωa .b .d 2‬‬

‫= ‪σ 'c‬‬

‫‪ωa = n . µ . γ z‬‬

‫‪γx‬‬ ‫‪.γ z‬‬ ‫‪2‬‬

‫= ‪ωb‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪118‬‬


‫ﻣﻠﺤﻖ ‪A‬‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ‪ -‬ﺍﻟﻄﺮﻳﻘﺔ ﺍﳌﺮﻧﺔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( A-7‬ﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﺍﳌﺴﺘﻄﻴﻠﺔ ﺃﺣﺎﺩﻳﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳋﺎﺿﻌﺔ ﻟﻼﻧﻌﻄﺎﻑ – ﺣﺎﻟﺔ ﺣﺪ ﲡﺎﻭﺯ ﺍﻹﺟﻬﺎﺩﺍﺕ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ‬ ‫ﳎﺎﻝ ﺍﻻﺳﺘﺨﺪﺍﻡ‬

‫ﺍﳌﻌﻄﻴﺎﺕ‬

‫ﺍﳌﺘﺤﻮﻻﺕ‬ ‫ﺍ‪‬ﻬﻮﻟﺔ‬

‫ﻣﻌﺮﻓﺔ ﻃﺎﻗﺔ ﺇﺳـﺘﺜﻤﺎﺭ‬

‫;‪d‬‬

‫‪M max‬‬

‫ﻣﻘﺎﻃﻊ ﻣﻨﺸﺄﺓ ﻣﻨﻔﺬﺓ‬

‫ﺍﻟﻌﻼﻗــــﺎﺕ ﺍﳌﺴﺎﻋـــﺪﺓ‬ ‫ﻋﻦ ﻃﺮﻳﻖ ﺍﻟﺪﺳﺎﺗﲑ‬ ‫ﻋﻦ ﻃﺮﻳﻖ ﺍﳉﺪﺍﻭﻝ‬

‫ﺍﻟﻔﺮﺿﻴﺎﺕ‬ ‫; ‪σ 'c =σ 'c‬‬ ‫‪σs =σs‬‬

‫‪As‬‬ ‫‪n.µ = n.‬‬ ‫‪b.d‬‬

‫; ‪As‬‬ ‫; ‪σ 'c‬‬ ‫‪σs‬‬

‫ﳒﺪ‬

‫‪ω a ;ω b‬‬

‫‪As‬‬ ‫‪b.d‬‬ ‫‪2‬‬ ‫)‬ ‫‪n.µ‬‬

‫‪n.µ = n.‬‬

‫‪γ x = n.µ (−1 + 1 +‬‬

‫‪γ‬‬ ‫‪γ z =1 − x‬‬ ‫‪3‬‬ ‫‪ω a = n.µ.γ z‬‬ ‫‪γ‬‬ ‫‪ω b = x .γ z‬‬ ‫‪2‬‬

‫ﺍﻟﻌﻼﻗﺎﺕ ﺍﳊﺴﺎﺑﻴﺔ‬ ‫ﺃ‪-‬‬

‫‪Mc =ωb .σ 'c .b .d 2‬‬ ‫ﺏ‪-‬‬

‫‪ωa .σs‬‬ ‫‪.b .d 2‬‬ ‫‪n‬‬

‫= ‪Ms‬‬

‫‪M‬‬ ‫‪M max = min{ c‬‬ ‫‪Ms‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪119‬‬


‫ﻣﻠﺤﻖ ‪A‬‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ‬

‫) ‪( A-8‬‬

‫ﳎﺎﻝ ﺍﻻﺳﺘﺨﺪﺍﻡ‬

‫ﺍﳌﻌﻄﻴﺎﺕ‬

‫ﻋﻨﺪ ﻋﺪﻡ ﻛﻔﺎﻳﺔ‬

‫;‪M‬‬

‫; ‪As‬‬

‫;‪b‬‬ ‫;‪d‬‬

‫‪A 's‬‬

‫ﺍﳌﻘﻄﻊ ﺍﻟﺒﻴﺘـﻮﱐ‬ ‫ﻭﻋﺪﻡ ﺇﻣﻜﺎﻧﻴـﺔ‬ ‫ﺯﻳﺎﺩﺓ ﺃﺑﻌﺎﺩﻩ ﺃﻭ‬

‫;' ‪a‬‬

‫ﺍﻟﺘﺴﻠﻴﺢ‬

‫; ‪σ 'c‬‬

‫ﲣﻔﻴﺾ ﻧﺴـﺒﺔ‬

‫‪σs‬‬

‫ﺗﺼﻤﻴﻢ ﺍﳌﻘﺎﻃﻊ ﺍﳌﺴﺘﻄﻴﻠﺔ ﺛﻨﺎﺋﻴﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳋﺎﺿﻌﺔ ﻟﻼﻧﻌﻄﺎﻑ – ﺣﺎﻟﺔ ﺣﺪ ﲡﺎﻭﺯ ﺍﻹﺟﻬﺎﺩﺍﺕ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ‬

‫ﺍﳌﺘﺤﻮﻻﺕ‬ ‫ﺍ‪‬ﻬﻮﻟﺔ‬

‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ‪ -‬ﺍﻟﻄﺮﻳﻘﺔ ﺍﳌﺮﻧﺔ‬

‫ﺍﻟﻔﺮﺿﻴﺎﺕ‬ ‫ﻧﻔﺮﺽ ﺍﳌﻘﻄﻊ‬ ‫ﻣﺘﻮﺍﺯﻧـــﺎﹰ‬ ‫ﳊﺴﺎﺏ ﺍﻟﻌﺰﻡ‬ ‫ﺍﳌﻘــﺎﻭﻡ ﰲ‬ ‫ﺍﳌﺮﺣﻠﺔ ﺍﻷﻭﱃ‬

‫اﻟﻌﻼﻗــــﺎت اﻟﻤﺴﺎﻋـــﺪة‬ ‫ﻋﻦ ﻃﺮﻳﻖ ﺍﻟﺪﺳﺎﺗﲑ‬ ‫ﻋﻦ ﻃﺮﻳﻖ ﺍﳉﺪﺍﻭﻝ‬ ‫ﳓﺴﺐ‬

‫'‪n .σ c‬‬ ‫= ‪γo‬‬ ‫‪σs‬‬ ‫ﻧﻘﺮﺃ‬

‫‪γx ; γz‬‬

‫‪ωb‬‬

‫اﻟﻌﻼﻗﺎت اﻟﺤﺴﺎﺑﯿﺔ‬

‫'‪n .σ c‬‬ ‫= ‪γo‬‬ ‫‪σs‬‬

‫‪γ‬‬ ‫‪γx = o‬‬ ‫‪1+ γ o‬‬

‫‪γx‬‬ ‫‪3‬‬

‫‪γ z =1−‬‬

‫‪γ x .γ z‬‬ ‫‪2‬‬

‫‪∆M‬‬ ‫)' ‪σ s (d − a‬‬

‫‪x = γ x .d‬‬ ‫‪2‬‬

‫‪MR‬‬ ‫= ‪As 1‬‬ ‫‪γ z .σ s .d‬‬

‫‪MR = ωb .σ 'c .b .d‬‬

‫‪∆M = M − MR‬‬

‫' ‪x −a‬‬ ‫‪.n.σ 'c‬‬ ‫‪x‬‬

‫= ‪A 's‬‬

‫‪∆M‬‬ ‫= ‪As 2‬‬ ‫) ' ‪σ s .(d − a‬‬

‫= ‪σ 's‬‬

‫‪As = As1 + As 2‬‬

‫= ‪ωb‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪120‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﻣﻠﺤﻖ ‪A‬‬ ‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ‪ -‬ﺍﻟﻄﺮﻳﻘﺔ ﺍﳌﺮﻧﺔ‬

‫ﺍﳉﺪﻭﻝ ) ‪ ( A-9‬ﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﺍﳌﺴﺘﻄﻴﻠﺔ ﺛﻨﺎﺋﻴﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳋﺎﺿﻌﺔ ﻟﻼﻧﻌﻄﺎﻑ – ﺣﺎﻟﺔ ﺣﺪ ﲡﺎﻭﺯ ﺍﻹﺟﻬﺎﺩﺍﺕ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ‬ ‫ﳎﺎﻝ ﺍﻻﺳﺘﺨﺪﺍﻡ‬

‫ﺍﳌﻌﻄﻴﺎﺕ‬

‫ﺍﳌﺘﺤﻮﻻﺕ‬ ‫ﺍ‪‬ﻬﻮﻟﺔ‬

‫ﺍﻟﻌﻼﻗﺎﺕ ﺍﳊﺴﺎﺑﻴﺔ‬

‫ﺍﻟﻌﻼﻗــــﺎﺕ ﺍﳌﺴﺎﻋـــﺪﺓ‬

‫;‪M‬‬ ‫ﺍﻟﺘﺤﻘﻖ ﻣﻦ ﲢﻤﻞ ﻣﻘﺎﻃﻊ‬

‫;‪b‬‬

‫ﻣﻨﻔﺬﺓ ﻭﻣﺴﺘﺜﻤﺮﺓ‬

‫; ‪σ 'c‬‬

‫;‪d‬‬

‫; ‪σs‬‬

‫; ‪As‬‬ ‫; ‪A 's‬‬ ‫; ‪σ 'c‬‬ ‫; ‪σs‬‬ ‫‪σ 's‬‬

‫‪σ 's‬‬

‫ﺣﺴﺎﺏ ‪ x‬ﻣﻦ ﺷﺮﻁ ﺍﻟﻌﺰﻡ ﺍﻟﺴﺘﺎﺗﻴﻜﻲ ﻟﻠﻤﻘﻄﻊ ﺍﳌﻜﺎﻓﺊ ‪:‬‬ ‫‪b .x 2‬‬ ‫‪+ n .A 's (x − a ') − n .As (d − x ) = 0‬‬ ‫‪2‬‬

‫ﺣﺴﺎﺏ ﻋﺰﻡ ﺍﻟﻌﻄﺎﻟﺔ ﺍﳌﻜﺎﻓﺊ ‪:‬‬ ‫‪b .x 3‬‬ ‫= ‪Ie‬‬ ‫‪+ n .A 's (x − a ')2 + n .As (d − x )2‬‬ ‫‪3‬‬

‫‪M‬‬ ‫'‪.x ≤ σ c‬‬ ‫‪Ie‬‬

‫= '‪σ c‬‬

‫) ' ‪n.M ( x − a‬‬ ‫'‪≤ σ s‬‬ ‫‪Ie‬‬

‫)‪n.M (d − x‬‬ ‫‪≤σs‬‬ ‫‪Ie‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪121‬‬

‫= '‪σ s‬‬

‫= ‪σs‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ‬

‫ﳎﺎﻝ ﺍﻻﺳﺘﺨﺪﺍﻡ‬

‫ﺍﳌﻌﻄﻴﺎﺕ‬

‫) ‪( A-10‬‬

‫ﺇﳚﺎﺩ ﻗﺪﺭﺓ ﺍﻟﺘﺤﻤـﻞ‬ ‫ﺍﻻﺳﺘﺜﻤﺎﺭﻳﺔ ﳌﻘـﺎﻃﻊ‬

‫;' ‪a‬‬

‫ﻣﻨﺸﺄ ﻣﺎ ‪.‬‬

‫; ‪As‬‬ ‫; ‪A 's‬‬ ‫; ‪σ 'c‬‬

‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ‪ -‬ﺍﻟﻄﺮﻳﻘﺔ ﺍﳌﺮﻧﺔ‬

‫ﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﺍﳌﺴﺘﻄﻴﻠﺔ ﺛﻨﺎﺋﻴﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳋﺎﺿﻌﺔ ﻟﻼﻧﻌﻄﺎﻑ – ﺣﺎﻟﺔ ﺣﺪ ﲡﺎﻭﺯ ﺍﻹﺟﻬﺎﺩﺍﺕ ﺍﳌﺴﻤﻮﺡ ‪‬ﺎ‬

‫ﺍﳌﺘﺤﻮﻻﺕ‬ ‫ﺍ‪‬ﻬﻮﻟﺔ‬

‫ﺍﻟﻌﻼﻗــــﺎﺕ ﺍﳌﺴﺎﻋـــﺪﺓ‬

‫‪M max‬‬

‫ﺣﺴﺎﺏ ‪ x‬ﻣﻦ ﺷﺮﻁ ﺍﻟﻌﺰﻡ ﺍﻟﺴﺘﺎﺗﻴﻜﻲ ﻟﻠﻤﻘﻄﻊ ﺍﳌﻜﺎﻓﺊ‬

‫;‪b‬‬ ‫;‪d‬‬

‫ﻣﻠﺤﻖ ‪A‬‬

‫‪b .x 2‬‬ ‫‪+ n .A 's (x − a ') − n .As (d − x ) = 0‬‬ ‫‪2‬‬

‫ﺣﺴﺎﺏ ﻋﺰﻡ ﺍﻟﻌﻄﺎﻟﺔ ﺍﳌﻜﺎﻓﺊ‬ ‫‪b .x 3‬‬ ‫= ‪Ie‬‬ ‫‪+ n .A 's ( x − a ') 2 + n .As (d − x )2‬‬ ‫‪3‬‬

‫ﺍﻟﻌﻼﻗﺎﺕ ﺍﳊﺴﺎﺑﻴﺔ‬ ‫→‬ ‫‪ Mc‬‬ ‫‪→ M max <  M 's‬‬ ‫‪ M s‬‬ ‫→‬

‫‪σs‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪122‬‬

‫‪σ ' .I‬‬ ‫‪Mc = c e‬‬ ‫‪x‬‬ ‫‪σ 's .I e‬‬ ‫= '‪M s‬‬ ‫)' ‪n .( x − a‬‬ ‫‪σ s .I e‬‬ ‫= ‪Ms‬‬ ‫) ‪n .(d − x‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﻣﻠﺤﻖ ‪B‬‬ ‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ‪ -‬ﺍﻟﻄﺮﻳﻘﺔ ﺍﳊﺪﻳﺔ‬

‫ﺍﳌﻠﺤﻖ‬ ‫‪/B/‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪123‬‬


‫ﻣﻠﺤﻖ ‪B‬‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ‪ -‬ﺍﻟﻄﺮﻳﻘﺔ ﺍﳊﺪﻳﺔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ )‪ (B-1‬ﻋﻼﻗﺎﺕ ﺍﻟﻌﻮﺍﻣﻞ ﺍﻟﻼﺑﻌﺪﻳﺔ‬ ‫ﺍﳋﺎﺻﺔ ﲝﺎﻟﺔ ﺣﺪ ﺍﻻ‪‬ﻴﺎﺭ ) ﺣﺎﻟﺔ ﺍﳊﺪ ﺍﻷﻗﺼﻰ (‬

‫‪σ c′ = 0,85. f C′‬‬ ‫‪535.5‬‬ ‫‪630 + f y‬‬ ‫‪400‬‬

‫‪y‬‬

‫‪or α max = 0, 75.αb = 630 + f‬‬

‫‪268‬‬ ‫‪630 + f y‬‬

‫= ‪αb‬‬

‫= ‪α max = 0,5.αb‬‬ ‫‪α‬‬ ‫)‬ ‫‪2‬‬

‫‪A0 = α .(1 −‬‬

‫‪α = 1 − 1 − 2.A0‬‬ ‫‪1‬‬ ‫‪A0‬‬ ‫‪α‬‬ ‫‪2‬‬ ‫‪fy‬‬ ‫‪σ 'c‬‬ ‫‪σ c′‬‬ ‫‪fy‬‬

‫= ‪r‬‬

‫‪γ = 1−‬‬ ‫‪α =µ .‬‬ ‫‪µ =α.‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪124‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﻣﻠﺤﻖ ‪B‬‬ ‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ‪ -‬ﺍﻟﻄﺮﻳﻘﺔ ﺍﳊﺪﻳﺔ‬

‫ﺍﳉﺪﻭﻝ )‪ (B-2‬ﻗﻴﻢ ﺍﻟﻌﻮﺍﻣﻞ ﺍﻟﻼﺑﻌﺪﻳﺔ ﺍﳋﺎﺻﺔ ﲝﺎﻟﺔ ﺣﺪ ﺍﻻ‪‬ﻴﺎﺭ )ﺣﺎﻟﺔ ﺍﳊﺪ ﺍﻷﻗﺼﻰ(‬ ‫‪A0‬‬

‫‪γ‬‬

‫‪r‬‬

‫‪α‬‬

‫‪0,010‬‬

‫‪0,995‬‬

‫‪10,03‬‬

‫‪0,01‬‬

‫‪0,020‬‬

‫‪0,990‬‬

‫‪7,11‬‬

‫‪0,02‬‬

‫‪0,030‬‬

‫‪0,985‬‬

‫‪5,82‬‬

‫‪0,03‬‬

‫‪0,039‬‬

‫‪0,980‬‬

‫‪5,05‬‬

‫‪0,04‬‬

‫‪0,049‬‬

‫‪0,975‬‬

‫‪4,53‬‬

‫‪0,05‬‬

‫‪0,058‬‬

‫‪0,970‬‬

‫‪4,15‬‬

‫‪0,06‬‬

‫‪0,068‬‬

‫‪0,965‬‬

‫‪3,85‬‬

‫‪0,07‬‬

‫‪0,077‬‬

‫‪0,960‬‬

‫‪3,61‬‬

‫‪0,08‬‬

‫‪0,086‬‬

‫‪0,955‬‬

‫‪3,41‬‬

‫‪0,09‬‬

‫‪0,095‬‬

‫‪0,950‬‬

‫‪3,24‬‬

‫‪0,10‬‬

‫‪0,104‬‬

‫‪0,945‬‬

‫‪3,10‬‬

‫‪0,11‬‬

‫‪0,113‬‬

‫‪0,940‬‬

‫‪2,98‬‬

‫‪0,12‬‬

‫‪0,122‬‬

‫‪0,935‬‬

‫‪2,87‬‬

‫‪0,13‬‬

‫‪0,130‬‬

‫‪0,930‬‬

‫‪2,77‬‬

‫‪0,14‬‬

‫‪0,139‬‬

‫‪0,925‬‬

‫‪2,68‬‬

‫‪0,15‬‬

‫‪0,147‬‬

‫‪0,920‬‬

‫‪2,61‬‬

‫‪0,16‬‬

‫‪0,156‬‬

‫‪0,915‬‬

‫‪2,54‬‬

‫‪0,17‬‬

‫‪0,164‬‬

‫‪0,910‬‬

‫‪2,47‬‬

‫‪0,18‬‬

‫‪0,172‬‬

‫‪0,905‬‬

‫‪2,41‬‬

‫‪0,19‬‬

‫‪0,180‬‬

‫‪0,900‬‬

‫‪2,36‬‬

‫‪0,20‬‬

‫‪0,188‬‬

‫‪0,895‬‬

‫‪2,31‬‬

‫‪0,21‬‬

‫‪0,196‬‬

‫‪0,890‬‬

‫‪2,26‬‬

‫‪0,22‬‬

‫‪0,204‬‬

‫‪0,885‬‬

‫‪2,22‬‬

‫‪0,23‬‬

‫‪0,211‬‬

‫‪0,880‬‬

‫‪2,18‬‬

‫‪0,24‬‬

‫‪0,219‬‬

‫‪0,875‬‬

‫‪2,14‬‬

‫‪0,25‬‬

‫‪0,226‬‬

‫‪0,870‬‬

‫‪2,10‬‬

‫‪0,26‬‬

‫‪0,234‬‬

‫‪0,865‬‬

‫‪2,07‬‬

‫‪0,27‬‬

‫‪0,241‬‬

‫‪0,860‬‬

‫‪2,04‬‬

‫‪0,28‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪125‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﻣﻠﺤﻖ ‪B‬‬ ‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ‪ -‬ﺍﻟﻄﺮﻳﻘﺔ ﺍﳊﺪﻳﺔ‬

‫ﺍﳉﺪﻭﻝ )‪ (B-2‬ﻗﻴﻢ ﺍﻟﻌﻮﺍﻣﻞ ﺍﻟﻼﺑﻌﺪﻳﺔ ﺍﳋﺎﺻﺔ ﲝﺎﻟﺔ ﺣﺪ ﺍﻻ‪‬ﻴﺎﺭ )ﺣﺎﻟﺔ ﺍﳊﺪ ﺍﻷﻗﺼﻰ(‬ ‫‪A0‬‬

‫‪γ‬‬

‫‪r‬‬

‫‪α‬‬

‫‪0,248‬‬

‫‪0,855‬‬

‫‪2,01‬‬

‫‪0,29‬‬

‫‪0,255‬‬

‫‪0,850‬‬

‫‪1,98‬‬

‫‪0,30‬‬

‫‪0,262‬‬

‫‪0,845‬‬

‫‪1,95‬‬

‫‪0,31‬‬

‫‪0,269‬‬

‫‪0,840‬‬

‫‪1,93‬‬

‫‪0,32‬‬

‫‪0,276‬‬

‫‪0,835‬‬

‫‪1,91‬‬

‫‪0,33‬‬

‫‪0,282‬‬

‫‪0,830‬‬

‫‪1,88‬‬

‫‪0,34‬‬

‫‪0,289‬‬

‫‪0,825‬‬

‫‪1,86‬‬

‫‪0,35‬‬

‫‪0,295‬‬

‫‪0,820‬‬

‫‪1,84‬‬

‫‪0,36‬‬

‫‪0,302‬‬

‫‪0,815‬‬

‫‪1,82‬‬

‫‪0,37‬‬

‫‪0,308‬‬

‫‪0,810‬‬

‫‪1,80‬‬

‫‪0,38‬‬

‫‪0,314‬‬

‫‪0,805‬‬

‫‪1,78‬‬

‫‪0,39‬‬

‫‪0,320‬‬

‫‪0,800‬‬

‫‪1,77‬‬

‫‪0,40‬‬

‫‪0,326‬‬

‫‪0,795‬‬

‫‪1,75‬‬

‫‪0,41‬‬

‫‪0,332‬‬

‫‪0,790‬‬

‫‪1,74‬‬

‫‪0,42‬‬

‫‪0,338‬‬

‫‪0,785‬‬

‫‪1,72‬‬

‫‪0,43‬‬

‫‪0,343‬‬

‫‪0,780‬‬

‫‪1,71‬‬

‫‪0,44‬‬

‫‪0,349‬‬

‫‪0,775‬‬

‫‪1,69‬‬

‫‪0,45‬‬

‫‪0,354‬‬

‫‪0,770‬‬

‫‪1,68‬‬

‫‪0,46‬‬

‫‪0,360‬‬

‫‪0,765‬‬

‫‪1,67‬‬

‫‪0,47‬‬

‫‪0,365‬‬

‫‪0,760‬‬

‫‪1,66‬‬

‫‪0,48‬‬

‫‪0,370‬‬

‫‪0,755‬‬

‫‪1,64‬‬

‫‪0,49‬‬

‫‪0,375‬‬

‫‪0,750‬‬

‫‪1,63‬‬

‫‪0,50‬‬

‫‪0,380‬‬

‫‪0,745‬‬

‫‪1,62‬‬

‫‪0,51‬‬

‫‪0,385‬‬

‫‪0,740‬‬

‫‪1,61‬‬

‫‪0,52‬‬

‫‪0,390‬‬

‫‪0,735‬‬

‫‪1,60‬‬

‫‪0,53‬‬

‫‪0,394‬‬

‫‪0,730‬‬

‫‪1,59‬‬

‫‪0,54‬‬

‫‪0,399‬‬

‫‪0,725‬‬

‫‪1,58‬‬

‫‪0,55‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪126‬‬


‫ﻣﻠﺤﻖ ‪B‬‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ‬

‫) ‪( B-3‬‬

‫ﳎﺎﻝ ﺍﻻﺳﺘﺨﺪﺍﻡ‬

‫ﺍﳌﻌﻄﻴﺎﺕ‬

‫ﺍﳌﺘﺤﻮﻻﺕ‬ ‫ﺍ‪‬ﻬﻮﻟﺔ‬

‫ﺗﺼﻤﻴﻢ ﺍﳌﻘﻄﻊ‬

‫; ‪Mu‬‬

‫;‪d‬‬

‫;‪b‬‬

‫; ‪As‬‬

‫ﺍﻟﺒﻴﺘﻮﱐ ﻭﻣﻘﻄﻊ ﻓﻮﻻﺫ‬

‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ – ﺍﻟﻄﺮﻳﻘﺔ ﺍﳊﺪﻳﺔ‬

‫ﺗﺼﻤﻴﻢ ﺍﳌﻘﺎﻃﻊ ﺍﳌﺴﺘﻄﻴﻠﺔ ﺃﺣﺎﺩﻳﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳋﺎﺿﻌﺔ ﻟﻼﻧﻌﻄﺎﻑ – ﺣﺎﻟﺔ ﺣﺪ ﺍﻻ‪‬ﻴﺎﺭ‬ ‫ﺍﻟﻔﺮﺿﻴﺎﺕ‬

‫ﺍﻟﻌﻼﻗــــﺎﺕ ﺍﳌﺴﺎﻋـــﺪﺓ‬ ‫ﻋﻦ ﻃﺮﻳﻖ ﺍﳉﺪﺍﻭﻝ‬

‫ﺍﻟﻌﻼﻗﺎﺕ ﺍﳊﺴﺎﺑﻴﺔ‬

‫ﻋﻦ ﻃﺮﻳﻖ ﺍﻟﺪﺳﺎﺗﲑ‬

‫‪ µs :‬ﻧﻔﺮﺽ ﺑﺸﻜﻞ ﺃﻭﱄ ﻧﺴﺒﺔ ﺗﺴﻠﻴﺢ ﺍﻗﺘﺼﺎﺩﻳﺔ‬ ‫ﻟﻠﺠﻮﺍﺋﺰ‬

‫‪Ω = 0, 9‬‬

‫‪0.012 – 0.008‬‬

‫‪Mu‬‬ ‫=‪d‬‬ ‫‪A0 . Ω.b .0,85.f 'c‬‬

‫ﻟﻠﺒﻼﻃﺎﺕ ‪0.006 – 0.003‬‬

‫ﺍﻟﺘﺴﻠﻴﺢ‬

‫‪fY‬‬ ‫‪α‬‬ ‫=‬ ‫‪µ‬‬ ‫‪.‬‬ ‫‪s‬‬ ‫ﳓﺴﺐ‬ ‫‪σ 'C‬‬

‫; ‪f 'c‬‬

‫‪As = µs .b .d‬‬

‫; ‪fy‬‬ ‫ﻧﻘﺮﺃ‬

‫‪A0‬‬

‫ﳓﺴﺐ‬

‫) ‪A0 = α .(1− 0,5.α‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪127‬‬


‫ﻣﻠﺤﻖ ‪B‬‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ‬

‫) ‪( B-4‬‬

‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ – ﺍﻟﻄﺮﻳﻘﺔ ﺍﳊﺪﻳﺔ‬

‫ﺗﺼﻤﻴﻢ ﺍﳌﻘﺎﻃﻊ ﺍﳌﺴﺘﻄﻴﻠﺔ ﺃﺣﺎﺩﻳﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳋﺎﺿﻌﺔ ﻟﻼﻧﻌﻄﺎﻑ – ﺣﺎﻟﺔ ﺣﺪ ﺍﻻ‪‬ﻴﺎﺭ‬

‫ﳎﺎﻝ‬ ‫ﺍﻻﺳﺘﺨﺪﺍﻡ‬

‫ﺍﳌﻌﻄﻴﺎﺕ‬

‫ﺍﳌﺘﺤﻮﻻﺕ ﺍﻟﻔﺮﺿﻴﺎﺕ‬ ‫ﺍ‪‬ﻬﻮﻟﺔ‬

‫ﺗﺼﻤﻴﻢ ﻣﻘـﺎﻃﻊ‬

‫; ‪Mu‬‬

‫‪Ω = 0, 9‬‬

‫ﳌﻘﺎﻃﻊ ﺑﻴﺘﻮﻧﻴـﺔ‬

‫;‪b‬‬ ‫;‪d‬‬

‫ﻓﻮﻻﺫ ﺍﻟﺘﺴـﻠﻴﺢ‬ ‫ﻣﻔﺮﻭﺿﺔ ‪.‬‬

‫; ‪f 'c‬‬ ‫; ‪fy‬‬

‫‪As‬‬

‫ﺍﻟﻌﻼﻗــــﺎﺕ ﺍﳌﺴﺎﻋـــﺪﺓ‬ ‫ﻋﻦ ﻃﺮﻳﻖ ﺍﻟﺪﺳﺎﺗﲑ‬ ‫ﻋﻦ ﻃﺮﻳﻖ ﺍﳉﺪﺍﻭﻝ‬ ‫ﳓﺴﺐ ‪:‬‬

‫ﰒ ﻧﻘﺮﺃ ‪:‬‬

‫;‪α‬‬ ‫‪γ0‬‬

‫‪Mu‬‬ ‫‪Ω .0,85.f ' c .b .d 2‬‬

‫= ‪A0‬‬

‫‪α = 1 − 1 − 2. A0‬‬

‫‪γ 0 =1− 0,5.α‬‬

‫ﺍﻟﻌﻼﻗﺎﺕ ﺍﳊﺴﺎﺑﻴﺔ‬ ‫‪Mu‬‬ ‫‪Ω .γ 0 .d .f y‬‬

‫= ‪As‬‬

‫ﻧﺘﺤﻘﻖ ﻣﻦ ﻧﺴﺒﺔ ﺍﻟﺘﺴﻠﻴﺢ ‪: µs‬‬ ‫‪A‬‬ ‫‪µs = s‬‬ ‫‪b .d‬‬

‫‪µs min ≤ µ s ≤ µs max‬‬

‫ﻧﺴﺒﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻷﺻﻐﺮﻳﺔ ﰲ‬ ‫‪0,9‬‬ ‫‪fy‬‬

‫= ‪ µs min‬ﺍﳉﻮﺍﺋﺰ‬

‫ﻣﻼﺣﻈﺎﺕ‬ ‫ﰲ ﺣﺎﻝ‬ ‫‪ µs > µs max‬ﳛﺘﺎﺝ‬ ‫ﺍﳌﻘﻄﻊ ﺇﱃ ﺗﺴـﻠﻴﺢ‬ ‫ـﺎﺩﺓ‬ ‫ـﺎﺋﻲ ﺃﻭ ﺯﻳـ‬ ‫ﺛﻨـ‬ ‫ﻋﺮﺽ ﺍﳉﺎﺋﺰ ‪b‬‬ ‫ﳝﻜﻦ ﺯﻳﺎﺩﺓ ‪µsmax‬‬ ‫ﺣﱴ ‪0,75× µsb‬‬

‫ﻣﻊ ﻣﺮﺍﻋﺎﺓ ﺷﺮﻭﻁ‬

‫ﻭﰲ ﺍﻟﺒﻼﻃﺎﺕ ﺗﺆﺧﺬ ﺣﺴﺐ ﺍﳊﺎﻟﺔ ﻣﻦ ﺍﻟﻜﻮﺩ ﺍﻟﺴﻮﺭﻱ‪.‬‬ ‫ﺍﻟﻜﻮﺩ ﻭﺗﺘﺮﺍﻭﺡ ﺑﲔ‬ ‫)‪( 0,0012− 0,0025‬‬ ‫‪µs max = 0,5.µsb‬‬ ‫‪455 f 'c‬‬ ‫‪.‬‬ ‫‪630 +f y f y‬‬

‫= ‪µsb‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪128‬‬


‫ﻣﻠﺤﻖ ‪B‬‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ‬

‫) ‪( B-5‬‬

‫ﳎﺎﻝ ﺍﻻﺳﺘﺨﺪﺍﻡ‬

‫ﺍﳌﻌﻄﻴﺎﺕ‬

‫ﺍﳌﺘﺤﻮﻻﺕ‬ ‫ﺍ‪‬ﻬﻮﻟﺔ‬

‫ﻧﺴــﺒﺔ ﺍﻟﺘﺴــﻠﻴﺢ‬

‫; ‪Mu‬‬

‫;‪d‬‬

‫;‪b‬‬

‫; ‪As‬‬

‫ﻣﺸﺮﻭﻃﺔ ﺍﻗﺘﺼﺎﺩﻳﺎﹰ‬

‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ – ﺍﻟﻄﺮﻳﻘﺔ ﺍﳊﺪﻳﺔ‬

‫ﺗﺼﻤﻴﻢ ﺍﳌﻘﺎﻃﻊ ﺍﳌﺴﺘﻄﻴﻠﺔ ﺃﺣﺎﺩﻳﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳋﺎﺿﻌﺔ ﻟﻼﻧﻌﻄﺎﻑ – ﺣﺎﻟﺔ ﺣﺪ ﺍﻻ‪‬ﻴﺎﺭ‬

‫ﺍﻟﻔﺮﺿﻴﺎﺕ‬

‫ﺍﻟﻌﻼﻗــــﺎﺕ ﺍﳌﺴﺎﻋـــﺪﺓ‬ ‫ﻋﻦ ﻃﺮﻳﻖ ﺍﳉﺪﺍﻭﻝ‬

‫ﻋﻦ ﻃﺮﻳﻖ ﺍﻟﺪﺳﺎﺗﲑ‬

‫ﺍﻟﻌﻼﻗﺎﺕ ﺍﳊﺴﺎﺑﻴﺔ‬

‫ﳓﺴﺐ ‪:‬‬

‫; ‪µs‬‬ ‫; ‪f 'c‬‬

‫‪Ω = 0, 9‬‬

‫‪fY‬‬ ‫‪α = µs .‬‬ ‫‪0,85.f 'c‬‬ ‫ﳓﺴﺐ‬

‫ﻧﻘﺮﺃ ‪A0‬‬

‫) ‪A0 = α .(1− 0,5.α‬‬

‫‪Mu‬‬ ‫‪A0 .Ω.b .0,85.f 'c‬‬

‫=‪d‬‬

‫‪As = µs .b .d‬‬

‫; ‪fy‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪129‬‬


‫ﻣﻠﺤﻖ ‪B‬‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ ) ‪( B-6‬‬

‫ﳎﺎﻝ ﺍﻻﺳﺘﺨﺪﺍﻡ ﺍﳌﻌﻄﻴﺎﺕ‬ ‫ﺇﳚﺎﺩ ﻗﺪﺭﺓ ﺍﻟﺘﺤﻤﻞ‬ ‫ﺍﳊﺪﻳﺔ ﳌﻘﺎﻃﻊ ﻣﻨﺸﺄ‬

‫;‪d‬‬ ‫; ‪As‬‬

‫ﺍﳌﺘﺤﻮﻻﺕ‬ ‫ﺍ‪‬ﻬﻮﻟﺔ‬

‫‪M u max‬‬

‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ – ﺍﻟﻄﺮﻳﻘﺔ ﺍﳊﺪﻳﺔ‬

‫ﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﺍﳌﺴﺘﻄﻴﻠﺔ ﺃﺣﺎﺩﻳﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳋﺎﺿﻌﺔ ﻟﻼﻧﻌﻄﺎﻑ – ﺣﺎﻟﺔ ﺣﺪ ﺍﻻ‪‬ﻴﺎﺭ‬ ‫ﺍﻟﻔﺮﺿﻴﺎﺕ‬

‫ﺍﻟﻌﻼﻗــــﺎﺕ ﺍﳌﺴﺎﻋـــﺪﺓ‬ ‫ﻋﻦ ﻃﺮﻳﻖ ﺍﳉﺪﺍﻭﻝ‬

‫ﻋﻦ ﻃﺮﻳﻖ ﺍﻟﺪﺳﺎﺗﲑ‬

‫ﳓﺴﺐ ﻧﺴﺒﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳌﻮﺟﻮﺩﺓ ‪:‬‬ ‫‪A‬‬ ‫‪µs = s‬‬ ‫‪b .d‬‬

‫‪Ω = 0, 9‬‬

‫ﻣﺎ ‪.‬‬

‫ﺍﻟﻌﻼﻗﺎﺕ ﺍﳊﺴﺎﺑﻴﺔ‬

‫‪M u max = Ω . A0 .0,85.f 'c .b . d 2‬‬

‫; ‪f 'c‬‬ ‫; ‪fy‬‬

‫ﰒ ﻧﻘﺮﺃ ‪:‬‬

‫;‪α‬‬ ‫‪A0‬‬

‫ﰒ ﳓﺴﺐ ‪:‬‬

‫‪fY‬‬ ‫‪0,85.f 'c‬‬

‫‪α = µs .‬‬

‫) ‪A0 = α .(1− 0,5.α‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪130‬‬


‫ﻣﻠﺤﻖ ‪B‬‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ ) ‪( B-7‬‬

‫ﺍﳌﻌﻄﻴﺎﺕ‬

‫ﳎﺎﻝ ﺍﻻﺳﺘﺨﺪﺍﻡ‬

‫ﺍﳌﺘﺤﻮﻻﺕ‬ ‫ﺍ‪‬ﻬﻮﻟﺔ‬

‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ – ﺍﻟﻄﺮﻳﻘﺔ ﺍﳊﺪﻳﺔ‬

‫ﺗﺼﻤﻴﻢ ﺍﳌﻘﺎﻃﻊ ﺍﳌﺴﺘﻄﻴﻠﺔ ﺛﻨﺎﺋﻴﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳋﺎﺿﻌﺔ ﻟﻼﻧﻌﻄﺎﻑ – ﺣﺎﻟﺔ ﺣﺪ ﺍﻻ‪‬ﻴﺎﺭ‬ ‫ﺍﻟﻔﺮﺿﻴﺎﺕ‬

‫ﺍﻟﻌﻼﻗﺎﺕ ﺍﳊﺴﺎﺑﻴﺔ‬

‫ﺍﻟﻌﻼﻗــــﺎﺕ ﺍﳌﺴﺎﻋـــﺪﺓ‬ ‫ﳓﺴﺐ ﻣﺴﺎﺣﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻷﻋﻈﻤﻴﺔ ﳌﻘﻄﻊ ﻣﺴﺘﻄﻴﻞ ﺃﺣﺎﺩﻱ ﺍﻟﺘﺴﻠﻴﺢ ‪:‬‬

‫ﻋﻨﺪ ﻋـﺪﻡ ﻛﻔﺎﻳـﺔ ; ‪M u‬‬

‫; ‪As‬‬

‫ﺍﳌﻘﻄــﻊ ﺍﻟﺒﻴﺘــﻮﱐ‬

‫;‪b‬‬

‫ﺍﳌﻔــﺮﻭﺽ ﻭﻋــﺪﻡ‬

‫‪A 's‬‬

‫;‪d‬‬

‫ﺇﻣﻜﺎﻧﻴﺔ ﺯﻳﺎﺩﺓ ﺃﺑﻌـﺎﺩﻩ‬

‫;' ‪a‬‬

‫ﺍﻟﺘﺴﻠﻴﺢ ‪.‬‬

‫; ‪f 'c‬‬

‫ﻟﺘﺨﻔــﻴﺾ ﻧﺴــﺒﺔ‬

‫; ‪fy‬‬

‫‪Ω = 0, 9‬‬

‫‪µS max = 0,5. µSb‬‬ ‫‪As max . f y‬‬ ‫= ‪AS max = µS max .b .d ⇒ y‬‬ ‫‪0,85.f 'c .b‬‬ ‫ﺃ‪ -‬ﺇﺫﺍ ﻛﺎﻥ ' ‪ y ≥ 2.a‬ﻧﺘﺎﺑﻊ ﻛﻤﺎ ﻳﻠﻲ ‪:‬‬ ‫‪y‬‬ ‫) ‪M UR = Ω .0,85.f 'c .b . y .(d −‬‬ ‫‪2‬‬ ‫‪∆Mu‬‬ ‫= ‪∆Mu =Mu −MUR ⇒As 2 =A's‬‬ ‫)' ‪Ω.f y .(d −a‬‬

‫ﻣﺴﺎﺣﺔ ﺗﺴﻠﻴﺢ ﺍﻟﺸﺪ ‪:‬‬

‫‪AS = AS1 + AS 2‬‬

‫ﻣﺴﺎﺣﺔ ﺗﺴﻠﻴﺢ ﺍﻟﻀﻐﻂ ‪:‬‬

‫‪A 'S‬‬ ‫ﻣﻼﺣﻈﺔ ‪:‬‬ ‫ﳚﺐ ﺩﻭﻣﺎﹰ ﲢﻘﻴﻖ ﺍﻟﺸﺮﻁ ﺍﻟﺘﺎﱄ ‪:‬‬ ‫‪AS < 1, 5. AS 1‬‬ ‫ﻭﰲ ﺣﺎﻝ ﻋﺪﻡ ﲢﻘﻖ ﻫﺬﺍ ﺍﻟﺸﺮﻁ ﳚﺐ ﺯﻳﺎﺩﺓ‬

‫‪AS 1 = AS max‬‬

‫ﺃﺑﻌﺎﺩ ﺍﳉﺎﺋﺰ ‪.‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪131‬‬


‫ﻣﻠﺤﻖ ‪B‬‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺗﺎﺑﻊ ﺍﳉﺪﻭﻝ‬ ‫ﳎﺎﻝ ﺍﻻﺳﺘﺨﺪﺍﻡ‬

‫ﺍﳌﻌﻄﻴﺎﺕ‬

‫) ‪( B-7‬‬

‫ﺍﳌﺘﺤﻮﻻﺕ‬ ‫ﺍ‪‬ﻬﻮﻟﺔ‬

‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ – ﺍﻟﻄﺮﻳﻘﺔ ﺍﳊﺪﻳﺔ‬

‫ﺗﺼﻤﻴﻢ ﺍﳌﻘﺎﻃﻊ ﺍﳌﺴﺘﻄﻴﻠﺔ ﺛﻨﺎﺋﻴﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳋﺎﺿﻌﺔ ﻟﻼﻧﻌﻄﺎﻑ – ﺣﺎﻟﺔ ﺣﺪ ﺍﻻ‪‬ﻴﺎﺭ‬ ‫ﺍﻟﻌﻼﻗــــﺎﺕ ﺍﳌﺴﺎﻋـــﺪﺓ‬

‫ﺍﻟﻔﺮﺿﻴﺎﺕ‬

‫ﺍﻟﻌﻼﻗﺎﺕ ﺍﳊﺴﺎﺑﻴﺔ‬

‫ﺏ‪ -‬ﺇﺫﺍ ﻛﺎﻥ ' ‪ y < 2.a‬ﻳﻜﻮﻥ ‪:‬‬

‫' ‪y − 0,85.a‬‬ ‫‪y‬‬

‫‪f 's = 630.‬‬

‫‪y‬‬ ‫)‬ ‫‪2‬‬ ‫‪∆Mu‬‬ ‫= ‪∆Mu =Mu −MUR ⇒As 2 =A's‬‬ ‫)' ‪Ω.f y .(d −a‬‬ ‫‪M UR = Ω .0,85.f 'c .b . y .(d −‬‬

‫‪fy‬‬ ‫‪f 's‬‬

‫‪f 's .A's = f y .As 2 ⇒A's =As 2 .‬‬

‫‪AS 1 = AS max‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪132‬‬


‫ﻣﻠﺤﻖ ‪B‬‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳉﺪﻭﻝ ) ‪( B-8‬‬

‫ﳎﺎﻝ ﺍﻻﺳﺘﺨﺪﺍﻡ‬

‫ﺍﳌﻌﻄﻴﺎﺕ‬

‫ﺍﳌﺘﺤﻮﻻﺕ‬ ‫ﺍ‪‬ﻬﻮﻟﺔ‬

‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ – ﺍﻟﻄﺮﻳﻘﺔ ﺍﳊﺪﻳﺔ‬

‫ﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﺍﳌﺴﺘﻄﻴﻠﺔ ﺛﻨﺎﺋﻴﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳋﺎﺿﻌﺔ ﻟﻼﻧﻌﻄﺎﻑ – ﺣﺎﻟﺔ ﺣﺪ ﺍﻻ‪‬ﻴﺎﺭ‬ ‫ﺍﻟﻔﺮﺿﻴﺎﺕ‬

‫ﺍﻟﻌﻼﻗــــﺎﺕ ﺍﳌﺴﺎﻋـــﺪﺓ‬ ‫‪AS 1 = AS − A 'S‬‬

‫; ‪Mu‬‬ ‫ﺇﳚﺎﺩ ﻗـﺪﺭﺓ ﺍﻟﺘﺤﻤـﻞ‬

‫;‪b‬‬

‫ﺍﳊﺪﻳﺔ ﳌﻘﺎﻃﻊ ﻣﻨﺸﺄ ﻣﺎ ‪.‬‬

‫;‪d‬‬ ‫; ‪As‬‬ ‫; ‪A 's‬‬ ‫;‪a‬‬

‫ﺍﻟﻌﻼﻗﺎﺕ ﺍﳊﺴﺎﺑﻴﺔ‬

‫‪M u max‬‬

‫‪Ω = 0, 9‬‬

‫‪fy‬‬ ‫‪As 1‬‬ ‫‪⇒ α = µs 1 .‬‬ ‫‪b .d‬‬ ‫‪0,85.f 'c‬‬

‫= ‪µs 1‬‬

‫‪Mumax = Mu1 + ∆Mu‬‬

‫ﺃ‪ -‬ﺇﺫﺍ ﻜﺎﻥ )'‪( y = α . d ≥ 2 . a‬‬ ‫ﻓﺎﻟﺘﺴﻠﻴﺢ ﺍﳌﻀﻐﻮﻁ ﻭﺻﻞ ﺇﱃ ﺣﺪ ﺍﳋﻀﻮﻉ ﻧﺘﺎﺑﻊ ﺍﳊﻞ ﻛﻤﺎ ﻳﻠﻲ ‪:‬‬

‫) ‪A0 = α .(1− 0,5.α‬‬

‫;' ‪a‬‬

‫‪M u 1 = Ω . A0 .0,85.f 'c .b .d‬‬ ‫)' ‪∆M u = Ω . A 's . f y .( d − a‬‬

‫‪2‬‬

‫; ‪f 'c‬‬ ‫; ‪fy‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪133‬‬


‫ﻣﻠﺤﻖ ‪B‬‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺗﺎﺑﻊ ﺍﳉﺪﻭﻝ‬ ‫ﳎﺎﻝ ﺍﻻﺳﺘﺨﺪﺍﻡ‬

‫ﺍﳌﻌﻄﻴﺎﺕ‬

‫ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ – ﺍﻟﻄﺮﻳﻘﺔ ﺍﳊﺪﻳﺔ‬

‫) ‪( B-8‬‬

‫ﺍﳌﺘﺤﻮﻻﺕ‬ ‫ﺍ‪‬ﻬﻮﻟﺔ‬

‫ﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ ﺍﳌﺴﺘﻄﻴﻠﺔ ﺛﻨﺎﺋﻴﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﳋﺎﺿﻌﺔ ﻟﻼﻧﻌﻄﺎﻑ – ﺣﺎﻟﺔ ﺣﺪ ﺍﻻ‪‬ﻴﺎﺭ‬

‫ﺍﻟﻔﺮﺿﻴﺎﺕ‬

‫ﺍﻟﻌﻼﻗــــﺎﺕ ﺍﳌﺴﺎﻋـــﺪﺓ‬

‫ﺍﻟﻌﻼﻗﺎﺕ ﺍﳊﺴﺎﺑﻴﺔ‬

‫ﺏ ‪ -‬ﺇﺫﺍ ﻜﺎﻥ )'‪( y = α . d < 2 . a‬‬ ‫ﻓﺎﻟﺤﺩﻴﺩ ﺍﻟﻤﻀﻐﻭﻁ ﻏﻴﺭ ﻤﺘﻠﺩﻥ ﻭ ﻴﻜﻭﻥ ‪:‬‬

‫' ‪y − 0,85.a‬‬ ‫‪y‬‬

‫‪f 's = 630.‬‬

‫)' ‪∆M u = Ω . A 's . f 's .( d − a‬‬

‫‪A 'S . f 'S‬‬ ‫‪fy‬‬

‫= ‪AS 2‬‬

‫⇒ ‪AS1 = AS − AS 2‬‬ ‫‪fy‬‬ ‫‪As1‬‬ ‫‪; α = µs1 .‬‬ ‫‪b .d‬‬ ‫‪σ 'c‬‬

‫= ‪µS1‬‬

‫) ‪A0 = α .(1− 0,5.α‬‬ ‫‪⇒ M u 1 = Ω . A0 .0,85.f 'c .b .d 2‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪134‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻧﻈﺮﻱ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﳌﺮﺍﺟﻊ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﳌﺮﺍﺟﻊ‬ ‫‪.1‬‬

‫‪.2‬‬

‫ﺍﻟﻜﻮﺩ ﺍﻟﻌﺮﰊ ﺍﻟﺴﻮﺭﻱ ﻟﺘﺼﻤﻴﻢ ﻭﺗﻨﻔﻴﺬ ﺍﳌﻨﺸﺂﺕ ﺑﺎﳋﺮﺳﺎﻧﺔ ﺍﳌﺴﻠﺤﺔ‬ ‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ‪ ،‬ﺩﻣﺸﻖ ‪. 2004‬‬ ‫ﺍﳌﻠﺤﻖ ﺭﻗﻢ )‪ (1‬ﻟﻠﻜﻮﺩ ﺍﻟﻌﺮﰊ ﺍﻟﺴﻮﺭﻱ ﻟﺘﺼﻤﻴﻢ ﻭﺗﻨﻔﻴﺬ ﺍﳌﻨﺸﺂﺕ ﺑﺎﳋﺮﺳﺎﻧﺔ ﺍﳌﺴﻠﺤﺔ – ﺍﻷﲪﺎﻝ ﻋﻠﻰ ﺍﳌﺒﺎﱐ‬ ‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ‪ ،‬ﺩﻣﺸﻖ ‪. 2006‬‬

‫‪.3‬‬

‫ﺍﳌﻠﺤﻖ ﺭﻗﻢ )‪ (2‬ﻟﻠﻜﻮﺩ ﺍﻟﻌﺮﰊ ﺍﻟﺴﻮﺭﻱ ﻟﺘﺼﻤﻴﻢ ﻭﺗﻨﻔﻴﺬ ﺍﳌﻨﺸﺂﺕ ﺑﺎﳋﺮﺳﺎﻧﺔ ﺍﳌﺴﻠﺤﺔ – ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﺒﺎﱐ‬

‫‪.4‬‬

‫ﺍﳌﻠﺤﻖ ﺭﻗﻢ )‪ (3‬ﻟﻠﻜﻮﺩ ﺍﻟﻌﺮﰊ ﺍﻟﺴﻮﺭﻱ ﻟﺘﺼﻤﻴﻢ ﻭﺗﻨﻔﻴﺬ ﺍﳌﻨﺸـﺂﺕ ﺑﺎﳋﺮﺳـﺎﻧﺔ ﺍﳌﺴـﻠﺤﺔ – ﺍﻟﺘﻔﺎﺻـﻴﻞ‬

‫ﻭﺍﳌﻨﺸﺂﺕ ﳌﻘﺎﻭﻣﺔ ﺍﻟﺰﻻﺯﻝ ‪ ،‬ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ‪ ،‬ﺩﻣﺸﻖ ‪. 2006‬‬ ‫ﻭﺍﻟﺮﺳﻮﻣﺎﺕ ‪ ،‬ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ‪ ،‬ﺩﻣﺸﻖ ‪. 2006‬‬ ‫‪.5‬‬

‫‪.6‬‬

‫‪.7‬‬

‫‪.8‬‬

‫ﻣﺴﺎﺋﻞ ﻫﺎﻣﺔ ﰲ ﺗﺼﻤﻴﻢ ﻣﻨﺸﺂﺕ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ‬ ‫ﺩ‪.‬ﻡ ﳏﻤﺪ ﻛﺮﺍﻣﺔ ﺑﺪﻭﺭﺓ ‪ ،‬ﺩ‪.‬ﻡ ﻭﻫﻴﺐ ﺯﻳﻦ ﺍﻟﺪﻳﻦ ‪ ،‬ﺩﻣﺸﻖ ‪.1991 ،‬‬

‫ﳏﺎﺿﺮﺍﺕ ﺍﻟﺪﻭﺭﺓ ﺍﻟﺘﺄﻫﻴﻠﻴﺔ ﺍﻷﻭﱃ‬ ‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ‪ ،‬ﲪﺺ ‪. 1995‬‬

‫ﻣﻨﺸﺂﺕ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ‪/2/‬‬ ‫ﺩ‪.‬ﻡ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ ،‬ﺩ‪.‬ﻡ ﺗﺎﻣﺮ ﺍﳊﺠﺔ ‪ ،‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬

‫‪. 2005 – 2006‬‬

‫ﺩﻭﺭﺓ ﺗﺪﺭﻳﺒﻴﺔ ﰲ ﳎﺎﻝ ﺍﻷﺑﻨﻴﺔ ﺍﻟﺒﻴﺘﻮﻧﻴﺔ ﺍﳌﺴﻠﺤﺔ ‪-‬ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﻓﺮﻉ ﲪﺺ‬

‫ﺩ‪ .‬ﻣـﺎﻫـﺮ ﻗـﺮﻩ ﻣﻦ ‪ 11/ 30‬ﻭﺣﱴ ‪2008/12/4‬‬

‫‪8. Stahlbetonkonstruktionen‬‬ ‫‪Boehme , Hild , Verlag fuer Bauwesen , Berlin , 1988 , 432 S.‬‬ ‫‪9. Stahlbetonbau in Beispielen DIN 1045 und Europaeische Normung‬‬ ‫‪Avak , Werner Verlag , Duesseldorf , 2002 , 387 S.‬‬ ‫‪10. Bautabellen fuer Ingenieure‬‬ ‫‪Schneider , Werner Verlag , Duesseldorf , 2002‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪135‬‬


‫ﻤﺤﺎﻀﺭﺓ ﺍﻟﺒﻼﻁﺎﺕ ﺍﻟﻤﺴﺘﻭﻴﺔ‬ ‫) ﺍﻟﻘﺴﻡ ﺍﻟﻌﻤﻠﻲ (‬

‫ﺇﻋﺩﺍﺩ‬ ‫ﺍﻟﺩﻜﺘﻭﺭ ﺍﻟﻤﻬﻨﺩﺱ ﻤـﺎﻫـﺭ ﻗـﺭﻩ‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺩﺭﺍﺳﺔ ﻭﺗﺼﻤﻴﻢ ﺳﻘﻒ ﻣﺴﺘﻮﺩﻉ‬ ‫ﺑﺎﻋﺘﺒﺎﺭﻩ ﺑﻼﻃﺎﺕ ﻣﺼﻤﺘﺔ ﻋﺎﻣﻠﺔ ﺑﺎﲡﺎﻩ ﻭﺍﺣﺪ‬ ‫‪.14,4 x 14,4 m‬‬

‫ﺃﺑﻌﺎﺩ ﺍﳌﺴﺘﻮﺩﻉ ﰲ ﺍﳌﺴﻘﻂ ﺍﻷﻓﻘﻲ‬

‫ﺍﻟﺘﺒﺎﻋﺪ ﺑﲔ ﳏﺎﻭﺭ ﺍﻷﻋﻤﺪﺓ ﺑﺎﻻﲡﺎﻩ ﺍﻷﻓﻘﻲ ‪ X‬ﻫﻮ ‪. 3,6 m‬‬ ‫ﻭﺍﻟﺘﺒﺎﻋﺪ ﺑﲔ ﳏﺎﻭﺭ ﺍﻷﻋﻤﺪﺓ ﺑﺎﻻﲡﺎﻩ ﺍﻟﺸﺎﻗﻮﱄ ‪ Y‬ﻫﻮ ‪. 7,2 m‬‬ ‫‪C‬‬ ‫‪S1‬‬

‫‪S2‬‬

‫‪S2‬‬

‫‪S1‬‬

‫‪S1‬‬

‫‪S2‬‬

‫‪S2‬‬

‫‪S1‬‬

‫‪B‬‬

‫‪A‬‬

‫‪5‬‬

‫‪4‬‬

‫‪3‬‬

‫‪2‬‬

‫‪1‬‬

‫ﺃﻭﻻﹰ ‪ :‬ﺧﻮﺍﺹ ﻣﻮﺍﺩ ﺍﻹﻧﺸﺎﺀ‬ ‫ﺍﻟﺒﻴﺘﻮﻥ ﻋﻴﺎﺭ ‪ 350 kg/m3‬ﻛﻎ ﺍﲰﻨﺖ ‪ /‬ﻣﺘﺮ ﺍﳌﻜﻌﺐ ﻭﻣﻘﺎﻭﻣﺘﻪ ﺍﳌﻤﻴﺰﺓ ﺍﻷﺳﻄﻮﺍﻧﻴﺔ ‪ 180 kg/cm 2‬ﻋﻠﻰ ﻋﻤﺮ‬ ‫‪ 28‬ﻳﻮﻡ ‪.‬‬ ‫•‬

‫ﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺮﺋﻴﺴﻲ ﻣﻦ ﺍﻟﻨﻮﻉ ﺍﶈﻠﺰﻥ ﻋﺎﱄ ﺍﳌﻘﺎﻭﻣﺔ ﺇﺟﻬﺎﺩ ﺧﻀﻮﻋﻪ ﻻ ﻳﻘﻞ ﻋﻦ ‪. 4000 kg/cm2‬‬

‫•‬

‫ﻓﻮﻻﺫ ﺗﺴﻠﻴﺢ ﺍﻷﺳﺎﻭﺭ ﻣﻦ ﺍﻟﻨﻮﻉ ﺍﻷﻣﻠﺲ ﺍﻟﻄﺮﻱ ﺇﺟﻬﺎﺩ ﺧﻀﻮﻋﻪ ﻻ ﻳﻘﻞ ﻋﻦ ‪. 2400 kg/cm2‬‬

‫ﻋﻨﺪ ﺍﻟﺘﺼﻤﻴﻢ ﻳﺘﻮﺟﺐ ﲣﻔﻴﺾ ﺇﺟﻬﺎﺩ ﺧﻀﻮﻉ ﺍﻟﻔﻮﻻﺫ ﺇﱃ ‪. 3600 kg/cm 2‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪1‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺛﺎﻧﻴﺎﹰ ‪ :‬ﺍﻗﺘﺮﺍﺡ ﻧﻮﻉ ﺍﻟﺒﻼﻃﺎﺕ‬ ‫ﻳﻘﺘﺮﺡ ﺩﺭﺍﺳﺔ ﺍﻟﺴﻘﻒ ﺑﺎﻋﺘﺒﺎﺭﻩ ﻣﺆﻟﻒ ﻣﻦ ﺑﻼﻃﺎﺕ ﻣﺼﻤﺘﺔ‬ ‫ﺛﺎﻟﺜﺎﹰ ‪ :‬ﺍﻟﻌﻨﺎﺻﺮ ﺍﳊﺎﻣﻠﺔ ﻟﺒﻼﻃﺎﺕ ﺍﻟﺴﻘﻒ‬ ‫ﺗﺴﺘﻨﺪ ﺑﻼﻃﺎﺕ ﺍﻟﺴﻘﻒ ﻣﻦ ﺟﻬﺎ‪‬ﺎ ﺍﻷﺭﺑﻌﺔ ﻋﻠﻰ ﺟﻮﺍﺋﺰ ﻣﺘﺪﻟﻴﺔ ﻭﺍﻟﱵ ﺗﺴﺘﻨﺪ ﺑﺪﻭﺭﻫﺎ ﻛﻤﺎ ﰲ ﺍﻟﺸﻜﻞ ﻋﻠﻰ ﺍﻷﻋﻤﺪﺓ ‪.‬‬ ‫ﺭﺍﺑﻌﺎﹰ ‪ :‬ﲢﺪﻳﺪ ﺃﺳﻠﻮﺏ ﻋﻤﻞ ﺍﻟﺒﻼﻃﺎﺕ‬ ‫ﳓﺴﺐ ﻧﺴﺒﺔ ﺍﻻﺳﺘﻄﺎﻟﺔ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺨﺘﻠﻔﺔ‬ ‫ﻧﺴﺒﺔ ﺍﺳﺘﻄﺎﻟﺔ ﺍﻟﺒﻼﻃﺔ ‪S1‬‬

‫‪0,87 . 7,2‬‬ ‫‪=2‬‬ ‫‪0,87 . 3,6‬‬

‫= ‪rs1‬‬

‫ﻧﺴﺒﺔ ﺍﺳﺘﻄﺎﻟﺔ ﺍﻟﺒﻼﻃﺔ ‪S2‬‬

‫‪0,87 . 7,2‬‬ ‫‪= 2,29‬‬ ‫‪0,76 . 3,6‬‬

‫= ‪rs 2‬‬

‫ﳝﻜﻦ ﺍﻋﺘﺒﺎﺭ ﻛﺎﻓﺔ ﺍﻟﺒﻼﻃﺎﺕ ﻋﺎﻣﻠﺔ ﺑﺎﲡﺎﻩ ﻭﺍﺣﺪ‬ ‫)‪(30x30‬‬

‫)‪(30x30‬‬

‫‪S1‬‬ ‫)‪(d‬‬

‫)‪(3‬‬

‫‪S2‬‬ ‫)‪(c‬‬

‫)‪(b‬‬

‫)‪(30x60‬‬

‫)‪(30x60‬‬

‫)‪(30x60‬‬

‫)‪(30x60‬‬

‫‪S1‬‬

‫)‪(30x30‬‬

‫‪S2‬‬

‫)‪(30x30‬‬

‫‪S2‬‬

‫‪S1‬‬

‫)‪(30x60‬‬

‫)‪(30x60‬‬

‫)‪(30x60‬‬

‫)‪(30x60‬‬

‫‪360‬‬

‫‪360‬‬

‫‪B‬‬

‫‪720‬‬ ‫)‪(30x60‬‬

‫)‪(30x30‬‬

‫)‪(30x30‬‬

‫‪720‬‬ ‫)‪(30x60‬‬

‫)‪(30x30‬‬

‫)‪(1‬‬

‫)‪(a‬‬

‫‪1440‬‬

‫)‪(30x30‬‬

‫)‪(2‬‬

‫‪S1‬‬ ‫‪100‬‬

‫)‪(e‬‬

‫)‪(4‬‬

‫)‪(30x30‬‬

‫‪S2‬‬

‫)‪(30x30‬‬

‫‪C‬‬

‫)‪(30x30‬‬

‫)‪(30x30‬‬

‫‪360‬‬

‫‪360‬‬

‫‪A‬‬

‫‪1440‬‬

‫‪5‬‬

‫‪4‬‬

‫‪3‬‬

‫‪2‬‬

‫‪1‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪2‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺧﺎﻣﺴﺎﹰ ‪ :‬ﲢﺪﻳﺪ ﺍﻷﺑﻌﺎﺩ ﺍﻷﻭﻟﻴﺔ ﻟﻠﻤﻘﺎﻃﻊ‬ ‫ﲢﺪﺩ ﺍﻟﺴﻤﺎﻛﺔ ﺍﻟﺪﻧﻴﺎ ﺗﺒﻌﺎﹰ ﻟﻠﺒﻼﻃﺔ ‪ S1‬ﻭﻫﻲ ﻣﺴﺘﻤﺮﺓ ﻣﻦ ﻃﺮﻑ ﻭﺍﺣﺪ ) ﻳﺆﺧﺬ ﺍﻟﺒﻌﺪ ﺍﶈﻮﺭﻱ(‬ ‫‪360‬‬ ‫‪=13,33 cm‬‬ ‫‪27‬‬

‫= ‪t min‬‬

‫ﻧﻌﺘﻤﺪ ﲰﻚ ﻛﻠﻲ ﻟﻜﺎﻓﺔ ﺍﻟﺒﻼﻃﺎﺕ ﻣﻘﺪﺍﺭﻩ ‪. 14 cm‬‬ ‫ﲰﻚ ﺍﻟﻐﻄﺎﺀ ﺍﳋﺮﺳﺎﱐ ‪.1,5 cm‬‬ ‫ﺍﻻﺭﺗﻔﺎﻉ ﺍﻟﻔﻌﺎﻝ ﻟﻠﺘﺴﻠﻴﺢ ﺍﻟﺮﺋﻴﺴﻲ ‪.d = 12 cm‬‬ ‫ﻳﺆﺧﺬ ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌﺎﻝ ﻟﻠﺠﻮﺍﺋﺰ ﺍﳌﺴﺘﻤﺮﺓ ﻣﺴﺎﻭﻳﺎﹰ ﺇﱃ ﺍﳌﺴﺎﻓﺔ ﺑﲔ ﳏﻮﺭﻱ ﺍﳌﺴﻨﺪﻳﻦ )‪ (L‬ﻭﺫﻟﻚ ﻋﻠﻰ ﺍﻋﺘﺒﺎﺭ ﺍﳉﻮﺍﺋﺰ ﻋﻨﺎﺻﺮ‬ ‫ﻏﲑ ﻣﺼﺒﻮﺑﺔ ﺑﺸﻜﻞ ﻣﺴﺘﻤﺮ ﻣﻊ ﺍﻟﻌﻨﺎﺻﺮ ﺍﳊﺎﻣﻠﺔ‪.‬‬ ‫ﻛﻤﺎ ﳛﺪﺩ ﺍﻟﻌﻤﻖ ﺍﻷﺩﱏ ﰲ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺪﻟﻴﺔ ﻭ ﺍﻟﱵ ﻻ ﻳﺰﻳﺪ ﳎﺎﺯﻫﺎ ﺍﻟﻔﻌﺎﻝ )‪ (L‬ﻋﻦ ‪ 15‬ﻣﺘﺮﺍﹰ ﻭ ﺗﻘﻞ ﻣﻘﺎﻭﻣﺘﻬﺎ ﺍﳌﻤﻴﺰﺓ ﻋﻦ‬ ‫)‪ (20 Mpa‬ﻣﻦ ﺣﺎﻟﺔ ﺍﳉﺎﺋﺰ ﻣﺴﺘﻤﺮ ﻣﻦ ﺟﺎﻧﺐ ﻭﺍﺣﺪ ﻋﻠﻰ ﺃﻻ ﻳﻘﻞ ﻋﻦ ﺿﻌﻒ ﲰﺎﻛﺔ ﺍﻟﺒﻼﻃﺔ ) ﺑﺎﻟﻨﺴﺒﺔ ﻟﻠﺠﻮﺍﺋﺰ ﺍﻟﺮﺋﻴﺴﻴﺔ‬ ‫ﺍﳊﺎﻣﻠﺔ ﻟﻠﺒﻼﻃﺎﺕ (‪.‬‬ ‫ﻟﻠﺠﻮﺍﺋﺰ ﺍﻟﺮﺋﻴﺴﻴﺔ ‪) :‬ﺑﺎﻻﲡﺎﻩ ﺍﻟﻄﻮﻳﻞ(‬

‫ﻧﻌﺘﻤﺪ‬

‫ﻟﻠﺠﻮﺍﺋﺰ ﺍﻟﺜﺎﻧﻮﻳﺔ ‪) :‬ﺑﺎﻻﲡﺎﻩ ﺍﻟﻘﺼﲑ(‬

‫ﻧﻌﺘﻤﺪ‬

‫‪‬‬ ‫‪2.t = 28 cm‬‬ ‫‪‬‬ ‫‪≥  L 720‬‬ ‫‪⇒ h = 60 cm‬‬ ‫= ‪min ‬‬ ‫‪= 55,38 cm‬‬ ‫‪13‬‬ ‫‪13‬‬ ‫‪L 360‬‬ ‫‪h‬‬ ‫= ≥‬ ‫‪= 27,69 cm ⇒ h = 30 cm‬‬ ‫‪min 13 13‬‬

‫‪h‬‬

‫ﻳﺆﺧﺬ ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌﺎﻝ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻤﺮﺓ ﻣﺴﺎﻭﻳﺎﹰ ﻟﻠﻘﻴﻤﺔ ﺍﻷﺩﱏ ﻣﻦ ﺍﻟﻘﻴﻢ ﺍﻟﺜﻼﺙ ﺍﻟﺘﺎﻟﻴﺔ ‪:‬‬ ‫ ﺍﳌﺴﺎﻓﺔ ﺑﲔ ﳏﻮﺭﻱ ﺍﻻﺳﺘﻨﺎﺩ )‪.(L‬‬‫ ﺍﳌﺴﺎﻓﺔ ﺍﳊﺮﺓ ﺑﲔ ﺍﳌﺴﻨﺪﻳﻦ )‪ (L0‬ﻣﻀﺎﻓﺎﹰ ﺇﻟﻴﻬﺎ ﺍﻟﻌﻤﻖ ﺍﻟﻔﻌﺎﻝ )‪. (d‬‬‫ ﺍﳌﺴﺎﻓﺔ ﺍﳊﺮﺓ ﺑﲔ ﺍﳌﺴﻨﺪﻳﻦ ﻣﻀﺮﻭﺑﺔ ﺑﺎﳌﻌﺎﻣﻞ )‪.(1,05‬‬‫ﻭﺫﻟﻚ ﻋﻠﻰ ﺍﻋﺘﺒﺎﺭ ﺍﻟﺒﻼﻃﺎﺕ ﻋﻨﺎﺻﺮ ﻣﺼﺒﻮﺑﺔ ﺑﺸﻜﻞ ﻣﺴﺘﻤﺮ ﻣﻊ ﺍﳉﻮﺍﺋﺰ ﺍﳊﺎﻣﻠﺔ ﻭﺍﻟﱵ ﻳﺰﻳﺪ ﲰﻜﻬﺎ ﻋﻦ ﺿﻌﻔﻲ ﲰﻚ‬ ‫ﺍﻟﺒﻼﻃﺔ‪.‬‬ ‫‪⇒ L = 342 cm‬‬

‫‪‬‬ ‫‪360 cm‬‬ ‫‪‬‬ ‫‪‬‬ ‫‪ 330+12=342 cm‬‬ ‫‪‬‬ ‫‪330.1,05=346,5 cm‬‬

‫≤‪L‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪3‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺳﺎﺩﺳﺎﹰ ‪ :‬ﺣﺴﺎﺏ ﻭﺗﻘﺪﻳﺮ ﺍﻷﲪﺎﻝ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ ﻣﻦ ﺍﻟﺒﻼﻃﺔ‬ ‫ﺃﲪﺎﻝ ﺍﻻﺳﺘﺜﻤﺎﺭ‬ ‫ ﺃﲪﺎﻝ ﺩﺍﺋﻤﺔ ﻭﺯﻥ ﺫﺍﰐ ﻟﻠﺒﻼﻃﺔ‬‫ ﺃﲪﺎﻝ ﺩﺍﺋﻤﺔ ﻭﺯﻥ ﻃﺒﻘﱵ ﺍﻟﻌﺰﻝ ﻭﺍﳌﻴﻮﻝ‬‫● ﳎﻤﻮﻉ ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﻜﻠﻴﺔ‬

‫‪g 1 = 0,14 . 25 = 3,5 KN / m 2‬‬ ‫‪g 2 = 2 KN / m2‬‬ ‫‪g = ∑ g i = 5,5 KN / m 2‬‬ ‫‪p = 2 KN / m 2‬‬ ‫‪w = g + p = 5,5 + 2 = 7,5 KN / m 2‬‬

‫ﺍﻷﲪﺎﻝ ﺍﳌﺼﻌﺪﺓ‬ ‫• ﺍﻷﲪﺎﻝ ﺍﻟﺪﺍﺋﻤﺔ ﺍﳌﺼﻌﺪﺓ‬ ‫• ﺍﻷﲪﺎﻝ ﺍﻹﺿﺎﻓﻴﺔ ﺍﳌﺼﻌﺪﺓ‬ ‫• ﺍﻷﲪﺎﻝ ﺍﻟﻜﻠﻴﺔ ﺍﳌﺼﻌﺪﺓ‬

‫‪g u =1,5 . g =1,5 . 5,5 = 8, 25 KN / m 2‬‬ ‫‪p u = 1,8 . p =1,8 . 2 = 3,6 KN / m 2‬‬ ‫‪wu = g u + p u = 8,25 + 3,6 =11,85 KN / m 2‬‬

‫ﺳﺎﺑﻌﺎﹰ ‪ :‬ﺣﺴﺎﺏ ﺍﳉﻬﻮﺩ ﰲ ﺍﳌﻘﺎﻃﻊ ﺍﳊﺮﺟﺔ‬ ‫ﺍﻟﺘﺤﻘﻖ ﻣﻦ ﻟﺰﻭﻡ ﺍﻟﺘﺤﻤﻴﻞ ﺍﻟﺸﻄﺮﳒﻲ‬ ‫‪gu‬‬ ‫‪3‬‬

‫> ‪∴ pu‬‬

‫‪g u 8,25‬‬ ‫=‬ ‫‪= 2,75‬‬ ‫‪3‬‬ ‫‪3‬‬

‫‪:‬‬

‫‪p u = 3,6‬‬

‫ﻳﺘﻮﺟﺐ ﺩﺭﺍﺳﺔ ﺍﳉﻬﻮﺩ ﰲ ﺣﺎﻻﺕ ﺍﻟﺘﺤﻤﻴﻞ ﺍﻟﺸﻄﺮﳒﻲ‬ ‫ﺣﺎﻻﺕ ﺍﻟﺘﺤﻤﻴﻞ ﺍﻟﺸﻄﺮﳒﻲ ﻟﻠﺤﺼﻮﻝ ﻋﻠﻰ ﺍﳉﻬﻮﺩ ﺍﻷﻋﻈﻤﻴﺔ ﰲ ﺍﳌﻘﺎﻃﻊ ﺍﳊﺮﺟﺔ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪4‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫'‪pu = 3,6 KN/m‬‬

‫'‪pu = 3,6 KN/m‬‬

‫'‪gu = 8,25 KN/m‬‬

‫‪e‬‬

‫)‪(4‬‬

‫)‪(3‬‬

‫‪d‬‬

‫‪c‬‬

‫‪Mumax‬‬

‫)‪(2‬‬

‫)‪(1‬‬

‫‪b‬‬

‫‪a‬‬

‫‪Mumax‬‬

‫'‪pu = 3,6 KN/m‬‬

‫'‪pu = 3,6 KN/m‬‬ ‫'‪gu = 8,25 KN/m‬‬

‫‪e‬‬

‫)‪(4‬‬

‫)‪(3‬‬

‫‪d‬‬

‫‪c‬‬

‫)‪(2‬‬

‫)‪(1‬‬

‫‪b‬‬

‫‪Mumax‬‬

‫‪a‬‬

‫‪Mumax‬‬

‫‪Mumin‬‬ ‫'‪pu = 3,6 KN/m‬‬

‫'‪pu = 3,6 KN/m‬‬ ‫'‪gu = 8,25 KN/m‬‬

‫‪e‬‬

‫)‪(4‬‬

‫‪d‬‬

‫)‪(3‬‬

‫‪c‬‬

‫)‪(2‬‬

‫)‪(1‬‬

‫‪b‬‬

‫‪a‬‬

‫‪Rumax‬‬ ‫‪Mumin‬‬ ‫'‪pu = 3,6 KN/m‬‬

‫'‪pu = 3,6 KN/m‬‬ ‫'‪gu = 8,25 KN/m‬‬

‫‪e‬‬

‫)‪(4‬‬

‫‪d‬‬

‫)‪(3‬‬

‫‪c‬‬

‫)‪(2‬‬

‫‪b‬‬

‫)‪(1‬‬

‫‪a‬‬

‫‪Rumax‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪5‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﻣﻌﺎﻣﻼﺕ ﺣﺴﺎﺏ ﺍﻟﻌﺰﻭﻡ ﻭﺭﺩﻭﺩ ﺍﻷﻓﻌﺎﻝ ﺑﺎﻟﻄﺮﻳﻘﺔ ﺍﻟﺘﻘﺮﻳﺒﻴﺔ‬ ‫‪-20‬‬

‫‪-10‬‬ ‫‪10‬‬

‫‪-12‬‬

‫‪-10‬‬

‫‪12‬‬

‫‪-20‬‬

‫)‪(K‬‬

‫‪10‬‬

‫‪12‬‬

‫‪M= w . L²/k‬‬

‫)'‪(K‬‬ ‫‪0,5‬‬

‫‪1,1‬‬

‫‪1,1‬‬

‫‪1‬‬

‫‪0,5‬‬

‫‪R= k'.w.L‬‬

‫ﻋﺰﻭﻡ ﺍﻻﻧﻌﻄﺎﻑ ﺍﻷﻋﻈﻤﻴﺔ ﰲ ﺍ‪‬ﺎﺯﺍﺕ ‪:‬‬ ‫‪11,85.3, 422‬‬ ‫= ‪M u 1max = M u 4max‬‬ ‫‪= 13,86 KN .m / m‬‬ ‫‪10‬‬ ‫‪11,85.3, 422‬‬ ‫= ‪M u 2max = M u 3max‬‬ ‫‪= 11,55 KN .m / m‬‬ ‫‪12‬‬

‫ﻋﺰﻭﻡ ﺍﻻﻧﻌﻄﺎﻑ ﺍﻷﺻﻐﺮﻳﺔ ﻓﻮﻕ ﺍﳌﺴﺎﻧﺪ ‪:‬‬ ‫‪11,85.3, 422‬‬ ‫‪M ua min = M ue min = −‬‬ ‫‪= − 6,93 KN .m / m‬‬ ‫‪20‬‬ ‫‪11,85.3, 422‬‬ ‫‪M ub min = M ud min = −‬‬ ‫‪= − 13,86 KN .m / m‬‬ ‫‪10‬‬ ‫‪11,85.3, 422‬‬ ‫‪M uc min = −‬‬ ‫‪= − 11,55 KN .m / m‬‬ ‫‪12‬‬

‫ﺭﺩﻭﺩ ﺍﻷﻓﻌﺎﻝ ﰲ ﺍﳌﺴﺎﻧﺪ ‪:‬‬ ‫ﺗﺆﺧﺬ ﺍﻷﺑﻌﺎﺩ ﺍﶈﻮﺭﻳﺔ‬

‫‪Rua max = Rue max = 0,5.11,85.3,6 = 21,35 KN / m‬‬ ‫‪Rub max = Rud max =1,1.11,85.3,6 = 46,93 KN / m‬‬ ‫‪Ruc max =1.11,85.3,6 = 42,66 KN / m‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪6‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺛﺎﻣﻨﺎﹰ ‪ :‬ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ‬ ‫ﺳﻴﺘﻢ ﺍﻻﻛﺘﻔﺎﺀ ﰲ ﻫﺬﺍ ﺍﳌﺜﺎﻝ ﺑﺘﺼﻤﻴﻢ ﺍﳌﻘﻄﻊ ﺍﳋﺎﺿﻊ ﻷﻛﱪ ﻋﺰﻡ ﺍﻧﻌﻄﺎﻑ ﺑﺸﻜﻞ ﻣﻔﺼﻞ ﻭﺗﻌﻄﻰ ﻧﺘﺎﺋﺞ ﺗﺼﻤﻴﻢ ﺍﳌﻘـﺎﻃﻊ‬ ‫ﺍﻷﺧﺮﻯ ﰲ ﺍﳉﺪﻭﻝ ﺍﻟﻼﺣﻖ ‪.‬‬ ‫ﺍﳌﻌﻄﻴﺎﺕ ‪:‬‬ ‫‪M u 1max =13,86 KN .m / m‬‬ ‫‪b =1000 mm : d =120 mm‬‬ ‫‪fc' =18 Mpa : f y = 360 MPa‬‬

‫ﺣﺴﺎﺏ ﺍﻟﻌﻮﺍﻣﻞ ﺍﻟﻼﺑﻌﺪﻳﺔ‬ ‫‪13,86.106‬‬ ‫‪= 0, 0699‬‬ ‫‪0,9.0,85.18.1000.1202‬‬

‫= ‪Ao‬‬

‫‪α = 1 − 1 − 2.0, 0699 = 0, 0725‬‬ ‫‪0,0725‬‬ ‫‪γ 0 =1 −‬‬ ‫‪= 0,96‬‬ ‫‪2‬‬

‫ﺣﺴﺎﺏ ﻣﻘﻄﻊ ﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺮﺋﻴﺴﻲ‬

‫‪13,86.106‬‬ ‫‪= 370 mm 2 / m‬‬ ‫‪0,9.0,96.120.360‬‬

‫= ‪As‬‬

‫ﳔﺘﺎﺭ‬ ‫ﻧﺘﺤﻘﻖ ﻣﻦ ﻣﻘﻄﻊ ﺍﻟﺘﺴﻠﻴﺢ ﲟﻘﺎﺭﻧﺘﻪ ﻣﻊ ﻣﻘﻄﻌﻲ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻷﺻﻐﺮﻱ ﻭﺍﻷﻋﻈﻤﻲ‬ ‫‪5T 10 / m ⇒ 393 mm 2 / m‬‬

‫‪As min = 0,0012.1000.120 =144 mm2 / m‬‬ ‫‪535,5 0,85.18‬‬ ‫‪As max = 0,5‬‬ ‫‪.‬‬ ‫‪.1000.120 =1379 mm2 / m‬‬ ‫‪630 + 360 360‬‬

‫‪As min < As < As max o.k‬‬ ‫ﺃﻣﺎ ﻣﺴﺎﺣﺔ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺴﻔﻠﻲ ﰲ ﺍﻻﲡﺎﻩ ﺍﻟﺜﺎﻧﻮﻱ )ﺑﺎﻻﲡﺎﻩ ﺍﻟﻄﻮﻳﻞ( ‪:‬‬ ‫‪2‬‬

‫ﳔﺘﺎﺭ‬

‫‪⇒ 140 mm‬‬

‫‪1‬‬ ‫‪‬‬ ‫‪×As=98,25 mm 2‬‬ ‫‪‬‬ ‫‪≥‬‬ ‫‪4‬‬ ‫‪0,001.1000.140=140 mm 2‬‬

‫‪As 2min‬‬

‫‪5T 8 / m ⇒ 251 mm 2 / m‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪7‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﻭﻻﺧﺘﻴﺎﺭ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻌﻠﻮﻱ ﺑﻨﻬﺎﻳﺔ ﺍﻟﻄﺮﻑ ﺍﻟﻄﻮﻳﻞ ﻟﻠﺒﻼﻃﺔ ﺍﻟﻌﺎﻣﻠﺔ ﺑﺎﲡﺎﻩ ﻭﺍﺣﺪ ﳓﺴﺐ ﺍﻟﻌﺰﻡ ﺍﻟﺴﺎﻟﺐ ﻋﻨﺪﻫﺎ ﲝﺴﺐ ﺍﻟﻜﻮﺩ‬ ‫‪11,85.3, 422‬‬ ‫‪M =−‬‬ ‫‪= − 3,96 KN .m / m ⇒ As = 103 mm 2 < As 2min‬‬ ‫‪35‬‬ ‫‪5T 8 / m ⇒ 251 mm 2 / m‬‬ ‫‪−‬‬ ‫‪u‬‬

‫ﳔﺘﺎﺭ‬

‫ﻣﻼﺣﻈﺔ‪:‬‬ ‫ﻳﺘﻢ ﺍﶈﺎﻓﻈﺔ ﻋﻠﻰ ﻭﺿﻊ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻌﻠﻮﻱ ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﰲ ﻣﻜﺎﻧﻪ ﺍﻟﺘﺼﻤﻴﻤﻲ ﺑﺎﺳﺘﻌﻤﺎﻝ ﻛﺮﺍﺳﻲ ﺑﺄﻗﻄﺎﺭ )‪(10 mm‬‬ ‫ﻭ ﺑﺘﺒﺎﻋﺪ )‪ (300 mm‬ﻭﲝﻴﺚ ﳛﻤﻞ ﻗﻀﻴﺒﲔ ﻣﺘﺠﺎﻭﺭﻳﻦ ﻓﻘﻂ‪.‬‬ ‫‪20‬‬ ‫‪10‬‬ ‫‪20‬‬

‫‪20‬‬ ‫‪1T10/m‬‬ ‫‪L=80‬‬

‫ﻣﺴﺎﺣﺔ ﺍﻟﺘﺴﻠﻴﺢ‬

‫ﻋﺰﻡ ﺍﻻﻧﻌﻄﺎﻑ‬

‫ﺍﳌﻘﻄﻊ‬

‫ﺍﳌﺪﺭﻭﺱ‬

‫ﺍﻟﺮﺋﻴﺴﻲ ﺍﳌﻄﻠﻮﺑﺔ‬

‫ﺍﳌﺼﻌﺪ‬

‫)‪As (mm2‬‬

‫)‪Mu (KN.m‬‬

‫‪181‬‬

‫‪-6.93‬‬

‫)‪(a‬‬

‫‪370‬‬

‫‪13.86‬‬

‫)‪(1‬‬

‫‪370‬‬

‫‪-13.86‬‬

‫)‪(b‬‬

‫‪306‬‬

‫‪11.55‬‬

‫)‪(2‬‬

‫‪306‬‬

‫‪-11.55‬‬

‫)‪(c‬‬

‫‪306‬‬

‫‪11.55‬‬

‫)‪(3‬‬

‫‪370‬‬

‫‪-13.86‬‬

‫)‪(d‬‬

‫‪370‬‬

‫‪13.86‬‬

‫)‪(4‬‬

‫‪181‬‬

‫‪-6.93‬‬

‫)‪(e‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪8‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺗﺎﺳﻌﺎﹰ ‪ :‬ﺗﻔﺼﻴﻼﺕ ﺇﻧﺸﺎﺋﻴﺔ‬ ‫ﰎ ﺇﻋﺪﺍﺩ ﺗﻔﺼﻴﻼﺕ ﺇﻧﺸﺎﺋﻴﺔ ﺗﻨﻔﻴﺬﻳﺔ ﻟﺘﺴﻠﻴﺢ ﺍﻟﺒﻼﻃﺎﺕ ﰲ ﻋﺪﺓ ﺣﺎﻻﺕ ﳑﻜﻨﺔ ﺍﺳﺘﻨﺎﺩﺍﹰ ﳌﻌﻄﻴﺎﺕ ﺍﻟﻜﻮﺩ ﺍﻟﻌـﺮﰊ‬ ‫ﺍﻟﺴﻮﺭﻱ ﻟﺘﺼﻤﻴﻢ ﻭﺗﻨﻔﻴﺬ ﺍﳌﻨﺸﺂﺕ ﺑﺎﳋﺮﺳﺎﻧﺔ ﺍﳌﺴﻠﺤﺔ ﺍﳌﻠﺤﻖ ﺭﻗﻢ ‪ : 3‬ﺍﻟﺘﻔﺎﺻﻴﻞ ﻭﺍﻟﺮﺳﻮﻣﺎﺕ ﻟﻌﺎﻡ ‪ 2006‬ﻭﻫﻲ ﻣﺮﻓﻘﺔ‬ ‫ﻭﻓﻖ ﺍﳉﺪﻭﻝ ﺍﻟﺘﺎﱄ ‪:‬‬ ‫ﺟﺪﻭﻝ ﺗﻔﺼﻴﻼﺕ ﺗﺴﻠﻴﺢ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬ ‫ﺭﻗﻢ ﺍﻟﻠﻮﺣﺔ‬

‫ﺍﶈﺘﻮﻯ‬

‫‪ST1‬‬

‫ﺣﺎﻟﺔ ﺗﺴﻠﻴﺢ ﻣﺴﺘﻘﻴﻢ ﻣﻘﻄﻊ ﻛﻞ ﻓﺘﺤﺔ‬

‫‪ST2‬‬

‫ﺣﺎﻟﺔ ﺗﺴﻠﻴﺢ ﻣﺴﺘﻘﻴﻢ ﻣﻘﻄﻊ ﻛﻞ ﻓﺘﺤﺘﲔ‬

‫‪ST3‬‬

‫ﺣﺎﻟﺔ ﺗﺴﻠﻴﺢ ﻣﺴﺘﻘﻴﻢ ﻣﺴﺘﻤﺮ‬

‫‪ST4‬‬

‫ﺣﺎﻟﺔ ﺗﺴﻠﻴﺢ ﻣﺴﺘﻘﻴﻢ ﻭﻣﻜﺴﺢ‬

‫‪ST5‬‬

‫ﺣﺎﻟﺔ ﺗﺴﻠﻴﺢ ﻣﻜﺴﺢ ﺑﺎﻟﺘﻨﺎﻭﺏ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪9‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫‪30‬‬

‫‪B8-4‬‬

‫‪B8-2‬‬

‫‪B8-3‬‬

‫‪B8-1‬‬

‫‪85‬‬

‫‪85‬‬

‫‪60‬‬ ‫‪46 14‬‬

‫‪B5-2‬‬

‫‪690‬‬ ‫‪30‬‬

‫‪40‬‬

‫‪B7-1‬‬

‫‪40‬‬

‫‪B7-3‬‬ ‫‪T=14‬‬

‫‪85‬‬

‫‪5T8/m‬‬ ‫‪L=200‬‬

‫‪1‬‬

‫‪B7-2‬‬

‫‪1440‬‬

‫‪5‬‬

‫‪4‬‬

‫‪B7-4‬‬

‫‪3‬‬

‫‪B4-2‬‬

‫‪15‬‬

‫‪1470‬‬

‫‪2‬‬

‫‪B3-2‬‬

‫‪360‬‬

‫‪L=770‬‬

‫‪360‬‬

‫‪360‬‬

‫‪I‬‬

‫‪30‬‬ ‫‪85‬‬ ‫‪11‬‬

‫‪360‬‬

‫‪30‬‬

‫‪30‬‬

‫‪40‬‬

‫‪B2-2‬‬

‫‪15‬‬

‫‪30‬‬

‫‪B3-2‬‬

‫‪330‬‬

‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ـﲔ‬ ‫ـﲑ ﻣﺒـ‬ ‫ﻏـ‬

‫‪B2-2‬‬

‫‪330‬‬

‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ﻏــﲑ ﻣﺒــﲔ‬

‫‪B1-2‬‬

‫‪40‬‬

‫‪6 5T10/m‬‬ ‫‪L=410‬‬ ‫‪14 5T8/m‬‬

‫‪30‬‬

‫‪B4-2‬‬

‫‪330‬‬

‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ﻏــﲑ ﻣﺒــﲔ‬

‫‪40‬‬ ‫‪40‬‬

‫‪40‬‬

‫‪40‬‬

‫‪7 5T10/m‬‬ ‫‪L=410‬‬

‫‪2‬‬

‫‪B1-2‬‬

‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ـﲔ‬ ‫ـﲑ ﻣﺒـ‬ ‫ﻏـ‬

‫‪B5-2‬‬

‫‪330‬‬

‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ﻏــﲑ ﻣﺒــﲔ‬

‫‪40‬‬ ‫‪40‬‬

‫‪85‬‬

‫‪40‬‬

‫‪8 5T10/m‬‬ ‫‪L=410‬‬

‫‪40‬‬

‫‪85‬‬

‫‪5T10/m‬‬ ‫‪L=200‬‬

‫‪85‬‬

‫‪5T8/m 1‬‬ ‫‪L=120‬‬

‫‪720‬‬

‫‪40‬‬ ‫‪40‬‬

‫‪85‬‬

‫‪I‬‬ ‫‪9 5T10/m‬‬ ‫‪L=410‬‬

‫‪4‬‬

‫‪85‬‬

‫‪L=120‬‬

‫‪85‬‬

‫)‪(4‬‬

‫‪85‬‬

‫)‪(3‬‬

‫‪85‬‬

‫)‪(2‬‬

‫‪85‬‬

‫‪5T10/m‬‬ ‫‪L=200‬‬

‫‪85‬‬

‫‪12 5T8/m‬‬

‫‪85‬‬

‫)‪(1‬‬

‫‪85‬‬

‫‪5 5T8/m‬‬ ‫‪L=120‬‬

‫‪85‬‬

‫‪85‬‬

‫‪5T10/m‬‬ ‫‪L=200‬‬

‫‪85‬‬

‫‪3‬‬

‫‪C‬‬

‫‪B‬‬

‫‪13‬‬

‫‪B5-1‬‬

‫‪690‬‬

‫‪B4-1‬‬

‫‪B3-1‬‬

‫‪B2-1‬‬

‫‪5T8/m‬‬ ‫‪L=759‬‬

‫‪30‬‬

‫‪330‬‬

‫‪30‬‬

‫‪330‬‬

‫‪30‬‬

‫‪330‬‬

‫‪30‬‬

‫ـﺪ‬ ‫ـﺎﻩ ﺍﻟﻮﺍﺣـ‬ ‫ـﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡـ‬ ‫ـﺎﺕ ﺍﳌﺼـ‬ ‫ﺍﻟﺒﻼﻃـ‬

‫‪30‬‬

‫ﺗﻔﺼـــﻴﻼﺕ ﺗﺴـــﻠﻴﺢ‬

‫‪360‬‬

‫‪360‬‬

‫‪85‬‬

‫‪5T8/m 10‬‬ ‫‪L=120‬‬

‫‪B6-4‬‬

‫‪B6-3‬‬

‫‪30‬‬

‫‪330‬‬

‫‪B6-2‬‬

‫‪A‬‬

‫‪B6-1‬‬

‫‪360‬‬

‫‪720‬‬

‫‪Scale 1/50‬‬

‫‪B1-1‬‬

‫‪sec:I-I‬‬

‫‪360‬‬

‫‪1440‬‬

‫‪ST1‬‬

‫‪5‬‬

‫‪4‬‬

‫‪3‬‬

‫‪2‬‬

‫‪1‬‬

‫ـﺔ‬ ‫ـﻞ ﻓﺘﺤـ‬ ‫ـﻊ ﻛـ‬ ‫ـﺘﻘﻴﻢ ﻣﻘﻄـ‬ ‫ـﻠﻴﺢ ﻣﺴـ‬ ‫ـﺔ ﺗﺴـ‬ ‫ﺣﺎﻟـ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪10‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫‪30‬‬

‫‪B8-3‬‬

‫‪85‬‬

‫‪85‬‬

‫‪85‬‬

‫‪60‬‬ ‫‪46 14‬‬

‫‪B5-2‬‬

‫‪690‬‬

‫‪B4-2‬‬

‫‪B3-2‬‬

‫‪360‬‬

‫‪L=770‬‬

‫‪360‬‬

‫‪360‬‬

‫‪40‬‬

‫‪B2-2‬‬

‫‪15‬‬

‫‪360‬‬

‫‪7 5T10/m‬‬ ‫‪L=770‬‬

‫‪40‬‬

‫‪6 5T10/m‬‬ ‫‪L=770‬‬

‫‪30‬‬

‫‪12 5T8/m‬‬

‫‪30‬‬

‫‪30‬‬

‫‪30‬‬

‫‪30‬‬

‫‪5T10/m‬‬ ‫‪L=200‬‬

‫‪2‬‬

‫‪15‬‬ ‫‪85‬‬ ‫‪9‬‬

‫‪30‬‬

‫‪40‬‬

‫‪40‬‬

‫‪1‬‬

‫‪T=14‬‬

‫‪B7-1‬‬ ‫‪85‬‬

‫‪3‬‬

‫‪B7-3‬‬

‫‪5T8/m‬‬ ‫‪L=200‬‬

‫‪5‬‬

‫‪4‬‬

‫‪B7-4‬‬

‫‪B7-2‬‬

‫‪1440‬‬

‫‪1470‬‬

‫‪2‬‬

‫‪II‬‬

‫‪B1-2‬‬

‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ﻏــﲑ ﻣﺒــﲔ‬

‫‪B5-2‬‬

‫‪330‬‬

‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ﻏــﲑ ﻣﺒــﲔ‬

‫‪B4-2‬‬

‫‪330‬‬

‫‪B3-2‬‬

‫‪330‬‬

‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ﻏــﲑ ﻣﺒــﲔ‬

‫‪B2-2‬‬

‫‪330‬‬

‫‪B1-2‬‬

‫‪3‬‬

‫‪85‬‬

‫‪5T10/m‬‬ ‫‪L=200‬‬

‫‪85‬‬

‫‪5T8/m 1‬‬ ‫‪L=120‬‬

‫‪720‬‬

‫‪40‬‬ ‫‪40‬‬ ‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ﻏــﲑ ﻣﺒــﲔ‬

‫‪5T10/m‬‬ ‫‪L=200‬‬

‫‪II‬‬

‫‪85‬‬

‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ﻏــﲑ ﻣﺒــﲔ‬

‫‪4‬‬

‫‪85‬‬

‫‪85‬‬

‫‪85‬‬

‫)‪(4‬‬

‫‪85‬‬

‫)‪(3‬‬

‫‪85‬‬

‫)‪(2‬‬

‫‪85‬‬

‫‪5 5T8/m‬‬ ‫‪L=120‬‬

‫‪85‬‬

‫‪85‬‬

‫‪B8-1‬‬ ‫‪10 5T8/m‬‬

‫‪85‬‬

‫)‪(1‬‬

‫‪85‬‬

‫‪85‬‬

‫‪L=120‬‬

‫‪B8-4‬‬

‫‪B8-2‬‬

‫‪C‬‬

‫‪B‬‬

‫‪11‬‬

‫‪B5-1‬‬

‫‪690‬‬

‫‪B4-1‬‬

‫‪B3-1‬‬

‫‪B2-1‬‬

‫‪5T8/m‬‬ ‫‪L=759‬‬

‫‪30‬‬

‫‪330‬‬

‫‪30‬‬

‫‪330‬‬

‫‪30‬‬

‫‪330‬‬

‫‪30‬‬

‫ـﺪ‬ ‫ـﺎﻩ ﺍﻟﻮﺍﺣـ‬ ‫ـﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡـ‬ ‫ـﺎﺕ ﺍﳌﺼـ‬ ‫ﺍﻟﺒﻼﻃـ‬

‫‪30‬‬

‫ﺗﻔﺼـــﻴﻼﺕ ﺗﺴـــﻠﻴﺢ‬

‫‪360‬‬

‫‪360‬‬

‫‪85‬‬

‫‪5T8/m 8‬‬ ‫‪L=120‬‬

‫‪B6-4‬‬

‫‪B6-3‬‬

‫‪30‬‬

‫‪330‬‬

‫‪B6-2‬‬

‫‪A‬‬

‫‪B6-1‬‬

‫‪360‬‬

‫‪720‬‬

‫‪Scale 1/50‬‬

‫‪B1-1‬‬

‫‪sec:II-II‬‬

‫‪360‬‬

‫‪1440‬‬

‫‪ST2‬‬

‫‪5‬‬

‫‪4‬‬

‫‪3‬‬

‫‪2‬‬

‫‪1‬‬

‫ﺣﺎﻟــﺔ ﺗﺴــﻠﻴﺢ ﻣﺴــﺘﻘﻴﻢ ﻣﻘﻄــﻊ ﻛــﻞ ﻓﺘﺤﺘــﲔ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪11‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫‪30‬‬

‫‪B8-3‬‬

‫‪85‬‬

‫‪85‬‬

‫‪85‬‬

‫‪85‬‬ ‫‪60‬‬ ‫‪46 14‬‬

‫‪B5-2‬‬

‫‪690‬‬

‫‪B4-2‬‬

‫‪360‬‬

‫‪360‬‬

‫‪B3-2‬‬

‫‪360‬‬

‫‪360‬‬

‫‪L=770‬‬

‫‪15‬‬

‫‪30‬‬

‫‪40‬‬ ‫‪40‬‬

‫‪B2-2‬‬

‫‪30‬‬

‫‪B4-2‬‬

‫‪330‬‬

‫‪30‬‬

‫‪30‬‬

‫‪6 5T10/m‬‬ ‫‪L=1130‬‬

‫‪30‬‬ ‫‪15‬‬

‫‪85‬‬ ‫‪9‬‬

‫‪30‬‬

‫‪40‬‬

‫‪40‬‬

‫‪1‬‬

‫‪T=14‬‬

‫‪B7-1‬‬ ‫‪85‬‬

‫‪3‬‬

‫‪B7-3‬‬

‫‪5T8/m‬‬ ‫‪L=200‬‬

‫‪5‬‬

‫‪4‬‬

‫‪B7-4‬‬

‫‪B7-2‬‬

‫‪1440‬‬

‫‪1470‬‬

‫‪2‬‬

‫‪III‬‬

‫‪B1-2‬‬

‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ﻏــﲑ ﻣﺒــﲔ‬

‫‪B5-2‬‬

‫‪330‬‬

‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ﻏــﲑ ﻣﺒــﲔ‬

‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ـﲔ‬ ‫ـﲑ ﻣﺒـ‬ ‫ﻏـ‬

‫‪B3-2‬‬

‫‪330‬‬

‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ﻏــﲑ ﻣﺒــﲔ‬

‫‪B2-2‬‬

‫‪330‬‬

‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ﻏــﲑ ﻣﺒــﲔ‬

‫‪B1-2‬‬

‫‪2‬‬

‫‪12 5T8/m‬‬

‫‪40‬‬ ‫‪40‬‬

‫‪85‬‬

‫‪5T10/m‬‬ ‫‪L=200‬‬

‫‪85‬‬

‫‪5T8/m 1‬‬ ‫‪L=120‬‬

‫‪720‬‬

‫‪III‬‬ ‫‪7 5T10/m‬‬ ‫‪L=410‬‬

‫‪4‬‬

‫‪3‬‬

‫‪85‬‬

‫‪85‬‬

‫)‪(4‬‬

‫‪85‬‬

‫)‪(3‬‬

‫‪85‬‬

‫)‪(2‬‬

‫‪85‬‬

‫‪5T10/m‬‬ ‫‪L=200‬‬

‫‪85‬‬

‫‪5T10/m‬‬ ‫‪L=200‬‬

‫‪85‬‬

‫‪B8-1‬‬ ‫‪10 5T8/m‬‬

‫‪85‬‬

‫)‪(1‬‬

‫‪85‬‬

‫‪5 5T8/m‬‬ ‫‪L=120‬‬

‫‪85‬‬

‫‪85‬‬

‫‪L=120‬‬

‫‪B8-4‬‬

‫‪B8-2‬‬

‫‪C‬‬

‫‪B‬‬

‫‪11‬‬

‫‪B5-1‬‬

‫‪690‬‬

‫‪B4-1‬‬

‫‪B3-1‬‬

‫‪B2-1‬‬

‫‪5T8/m‬‬ ‫‪L=759‬‬

‫‪30‬‬

‫‪330‬‬

‫‪30‬‬

‫‪330‬‬

‫‪30‬‬

‫‪330‬‬

‫‪30‬‬

‫ـﺪ‬ ‫ـﺎﻩ ﺍﻟﻮﺍﺣـ‬ ‫ـﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡـ‬ ‫ـﺎﺕ ﺍﳌﺼـ‬ ‫ﺍﻟﺒﻼﻃـ‬

‫‪30‬‬

‫ﺗﻔﺼـــﻴﻼﺕ ﺗﺴـــﻠﻴﺢ‬

‫‪360‬‬

‫‪360‬‬

‫‪85‬‬

‫‪5T8/m 8‬‬ ‫‪L=120‬‬

‫‪B6-4‬‬

‫‪B6-3‬‬

‫‪30‬‬

‫‪330‬‬

‫‪B6-2‬‬

‫‪A‬‬

‫‪B6-1‬‬

‫‪360‬‬

‫‪720‬‬

‫‪Scale 1/50‬‬

‫‪B1-1‬‬

‫‪sec:III-III‬‬

‫‪360‬‬

‫‪1440‬‬

‫‪ST3‬‬

‫‪5‬‬

‫‪4‬‬

‫‪3‬‬

‫‪2‬‬

‫‪1‬‬

‫ﺣﺎﻟــﺔ ﺗﺴــﻠﻴﺢ ﻣﺴــﺘﻘﻴﻢ ﻣﺴــﺘﻤﺮ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪12‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫‪30‬‬

‫‪B8-4‬‬

‫‪B8-2‬‬

‫‪B8-3‬‬

‫‪B8-1‬‬ ‫‪50‬‬

‫‪L=120‬‬

‫‪12‬‬

‫‪B5-2‬‬ ‫‪690‬‬

‫‪60‬‬ ‫‪46 14‬‬

‫‪360‬‬

‫‪B4-2‬‬

‫‪360‬‬

‫‪360‬‬

‫‪B3-2‬‬

‫‪360‬‬

‫‪30‬‬

‫‪4‬‬

‫‪2,5T10/m‬‬ ‫‪L=410‬‬

‫‪15‬‬

‫‪B2-2‬‬

‫‪15‬‬

‫‪30‬‬

‫‪330‬‬

‫‪330‬‬

‫‪30‬‬

‫‪330‬‬

‫‪30‬‬

‫‪2,5T8/m ,L=770‬‬

‫‪30‬‬

‫‪B4-2‬‬

‫‪B3-2‬‬

‫‪B2-2‬‬

‫‪B1-2‬‬ ‫‪40‬‬ ‫‪40‬‬

‫‪2,5T10/m‬‬ ‫‪L=410‬‬

‫‪65‬‬

‫‪5‬‬

‫‪65‬‬

‫‪2,5T10/m‬‬ ‫‪L=490‬‬

‫‪65‬‬ ‫‪40‬‬

‫‪3‬‬

‫‪2,5T8/m ,L=850 14‬‬

‫‪B5-2‬‬

‫‪330‬‬

‫‪65‬‬

‫‪65‬‬

‫‪65‬‬

‫‪65‬‬ ‫‪65‬‬

‫‪7 2,5T10/m‬‬ ‫‪L=565‬‬

‫‪40‬‬

‫‪2 2,5T10/m‬‬ ‫‪L=410‬‬

‫‪85‬‬ ‫‪16 2,5T8/m‬‬

‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ـﲑ ﻣﺒــﲔ‬ ‫ﻏـ‬

‫‪65‬‬ ‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ـﲑ ﻣﺒــﲔ‬ ‫ﻏـ‬

‫‪40‬‬ ‫‪40‬‬

‫‪65‬‬ ‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ـﲑ ﻣﺒــﲔ‬ ‫ﻏـ‬

‫‪40‬‬ ‫‪40‬‬

‫‪65‬‬ ‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ﻏــﲑ ﻣﺒــﲔ‬

‫‪40‬‬ ‫‪40‬‬

‫‪50‬‬ ‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ﻏــﲑ ﻣﺒــﲔ‬

‫‪8 2,5T10/m‬‬ ‫‪L=490 50‬‬

‫‪65‬‬

‫‪6 2,5T10/m‬‬ ‫‪L=565‬‬

‫‪85‬‬

‫‪2,5T8/m 9‬‬ ‫‪L=120‬‬

‫‪40‬‬

‫‪1‬‬

‫‪50‬‬

‫‪2,5T10/m‬‬ ‫‪L=410‬‬

‫‪40‬‬ ‫‪65‬‬

‫‪30‬‬

‫‪40‬‬

‫‪B5-1‬‬

‫‪690‬‬

‫‪B4-1‬‬

‫‪B3-1‬‬

‫‪B2-1‬‬

‫‪11 2,5T8/m ,L=770‬‬

‫‪330‬‬

‫‪13 2,5T8/m ,L=850‬‬

‫‪30‬‬

‫‪30‬‬

‫‪330‬‬

‫‪30‬‬

‫‪330‬‬

‫‪30‬‬

‫‪330‬‬

‫‪50‬‬

‫‪30‬‬

‫ـﺪ‬ ‫ـﺎﻩ ﺍﻟﻮﺍﺣـ‬ ‫ـﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡـ‬ ‫ـﺎﺕ ﺍﳌﺼـ‬ ‫ﺍﻟﺒﻼﻃـ‬

‫‪85‬‬

‫ﺗﻔﺼـــﻴﻼﺕ ﺗﺴـــﻠﻴﺢ‬

‫‪360‬‬

‫‪30‬‬

‫‪2,5T8/m 15‬‬ ‫‪L=120‬‬

‫‪B6-4‬‬

‫‪B6-3‬‬

‫‪360‬‬

‫‪B6-2‬‬

‫‪A‬‬

‫‪B6-1‬‬

‫‪360‬‬

‫‪B‬‬

‫‪720‬‬

‫‪Scale 1/50‬‬

‫‪T=14‬‬

‫‪B1-1‬‬

‫‪sec:V-V‬‬

‫‪40‬‬

‫‪3‬‬

‫‪B7-1‬‬ ‫‪65‬‬

‫‪5‬‬

‫‪4‬‬

‫‪2‬‬

‫‪1‬‬

‫‪B7-2‬‬

‫‪1440‬‬

‫‪1470‬‬

‫‪B7-4‬‬

‫‪B7-3‬‬

‫‪V‬‬

‫‪720‬‬

‫‪50‬‬

‫‪85‬‬

‫‪85‬‬

‫‪85‬‬

‫‪85‬‬

‫‪V‬‬

‫‪B1-2‬‬

‫‪85‬‬

‫)‪(4‬‬

‫‪85‬‬

‫)‪(3‬‬

‫‪85‬‬

‫)‪(2‬‬

‫‪85‬‬

‫)‪(1‬‬

‫‪85‬‬

‫‪10 2,5T8/m‬‬ ‫‪L=120‬‬

‫‪C‬‬

‫‪360‬‬

‫‪1440‬‬

‫‪ST4‬‬

‫‪5‬‬

‫‪4‬‬

‫‪3‬‬

‫‪2‬‬

‫‪1‬‬

‫ـﺢ‬ ‫ـﺘﻘﻴﻢ ﻭﻣﻜﺴـ‬ ‫ـﻠﻴﺢ ﻣﺴـ‬ ‫ـﺔ ﺗﺴـ‬ ‫ﺣﺎﻟـ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪13‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫‪30‬‬

‫‪50‬‬

‫‪B5-2‬‬

‫‪B4-2‬‬

‫‪690‬‬

‫‪60‬‬ ‫‪46 14‬‬

‫‪30‬‬

‫‪85‬‬

‫‪40‬‬ ‫‪40‬‬

‫‪360‬‬

‫‪360‬‬

‫‪360‬‬

‫‪360‬‬

‫‪B3-2‬‬

‫‪30‬‬

‫‪330‬‬

‫‪330‬‬

‫‪30‬‬

‫‪330‬‬

‫‪40‬‬ ‫‪40‬‬

‫‪8‬‬

‫‪2,5T10/m‬‬ ‫‪L=415 50‬‬

‫‪30‬‬

‫‪B2-2‬‬

‫‪B4-2‬‬

‫‪B3-2‬‬

‫‪B2-2‬‬

‫‪2,5T10/m‬‬ ‫‪L=490‬‬

‫‪B1-2‬‬

‫‪2,5T8/m ,L=850 12‬‬

‫‪15‬‬

‫‪330‬‬

‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ـﲔ‬ ‫ﻏــﲑ ﻣﺒـ‬

‫‪65‬‬

‫‪65‬‬

‫‪65‬‬

‫‪7‬‬ ‫‪65‬‬

‫‪3 2,5T10/m‬‬ ‫‪L=490‬‬

‫‪6 2,5T10/m‬‬ ‫‪L=490‬‬

‫‪15‬‬

‫‪65‬‬

‫‪85‬‬ ‫‪65‬‬

‫‪4 2,5T10/m‬‬ ‫‪L=490‬‬

‫‪2,5T8/m ,L=775 14‬‬

‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ـﲔ‬ ‫ﻏــﲑ ﻣﺒـ‬

‫‪65‬‬

‫‪B5-2‬‬

‫‪30‬‬

‫‪40‬‬ ‫‪40‬‬

‫‪65‬‬ ‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ـﲔ‬ ‫ﻏــﲑ ﻣﺒـ‬

‫‪40‬‬ ‫‪40‬‬

‫‪65‬‬ ‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ـﲑ ﻣﺒــﲔ‬ ‫ﻏـ‬

‫‪40‬‬ ‫‪40‬‬

‫‪50‬‬ ‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ـﲑ ﻣﺒــﲔ‬ ‫ﻏـ‬

‫‪85‬‬

‫‪65‬‬

‫‪2,5T8/m 9‬‬ ‫‪L=120‬‬

‫‪1 2,5T10/m‬‬ ‫‪L=490‬‬

‫‪85‬‬

‫‪2‬‬

‫‪40‬‬ ‫‪40‬‬

‫‪2,5T10/m‬‬ ‫‪L=415‬‬

‫‪85‬‬ ‫‪65‬‬

‫‪85‬‬

‫‪30‬‬

‫‪40‬‬

‫‪B5-1‬‬

‫‪690‬‬

‫‪B4-1‬‬

‫‪B3-1‬‬

‫‪B2-1‬‬

‫‪11 2,5T8/m ,L=775‬‬

‫‪330‬‬

‫‪330‬‬

‫‪330‬‬

‫‪13 2,5T8/m ,L=850‬‬

‫‪30‬‬

‫‪30‬‬

‫‪30‬‬

‫‪30‬‬

‫‪330‬‬

‫‪50‬‬

‫‪30‬‬

‫ﺍﻟﺒﻼﻃــﺎﺕ ﺍﳌﺼــﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡــﺎﻩ ﺍﻟﻮﺍﺣــﺪ‬

‫‪85‬‬

‫ﺗﻔﺼـــﻴﻼﺕ ﺗﺴـــﻠﻴﺢ‬

‫‪360‬‬

‫‪30‬‬

‫‪2,5T8/m 15‬‬ ‫‪L=120‬‬

‫‪B6-4‬‬

‫‪B6-3‬‬

‫‪360‬‬

‫‪B6-2‬‬

‫‪A‬‬

‫‪B6-1‬‬

‫‪360‬‬

‫‪B‬‬

‫‪720‬‬

‫‪Scale 1/50‬‬

‫‪T=14‬‬

‫‪B1-1‬‬

‫‪sec:VI-VI‬‬

‫‪40‬‬

‫‪3‬‬

‫‪85‬‬

‫‪2‬‬

‫‪B7-3‬‬

‫‪1‬‬

‫‪B7-2‬‬

‫‪B7-1‬‬ ‫‪65‬‬

‫‪5‬‬

‫‪4‬‬

‫‪B7-4‬‬

‫‪50‬‬

‫‪1440‬‬

‫‪1470‬‬

‫‪VI‬‬

‫‪720‬‬

‫‪50‬‬

‫‪85‬‬

‫‪85‬‬

‫‪65‬‬

‫‪2,5T10/m‬‬ ‫‪L=490‬‬

‫‪85‬‬

‫‪5‬‬

‫‪65‬‬

‫‪85‬‬

‫‪B1-2‬‬

‫‪85‬‬

‫)‪(4‬‬

‫‪85‬‬

‫‪85‬‬

‫)‪(3‬‬

‫‪85‬‬

‫)‪(2‬‬

‫‪85‬‬

‫)‪(1‬‬

‫‪85‬‬

‫‪VI‬‬

‫‪85‬‬

‫‪10 2,5T8/m‬‬ ‫‪L=120‬‬

‫‪85‬‬

‫‪L=120‬‬

‫‪B8-2‬‬

‫‪16 2,5T8/m‬‬

‫‪B8-4‬‬

‫‪B8-3‬‬

‫‪B8-1‬‬

‫‪C‬‬

‫‪360‬‬

‫‪1440‬‬

‫‪ST5‬‬

‫‪5‬‬

‫‪4‬‬

‫‪3‬‬

‫‪2‬‬

‫‪1‬‬

‫ﺣﺎﻟــﺔ ﺗﺴــﻠﻴﺢ ﻣﻜﺴــﺢ ﺑﺎﻟﺘﻨــﺎﻭﺏ‬

‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪14‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺍﻟﻌﺎﻣﻠﺔ ﺑﺎﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺩﺭﺍﺳﺔ ﻭﺗﺼﻤﻴﻢ ﺳﻘﻒ ﻣﺴﺘﻮﺩﻉ‬ ‫ﺑﺎﻋﺘﺒﺎﺭﻩ ﺑﻼﻃﺎﺕ ﻣﺼﻤﺘﺔ ﻋﺎﻣﻠﺔ ﺑﺎﲡﺎﻫﲔ‬ ‫ﺃﺑﻌﺎﺩ ﺍﳌﺴﺘﻮﺩﻉ ﰲ ﺍﳌﺴﻘﻂ ﺍﻷﻓﻘﻲ‬

‫‪14,4 x 14.4 m‬‬

‫ﺍﻟﺘﺒﺎﻋﺪ ﺑﲔ ﳏﺎﻭﺭ ﺍﻷﻋﻤﺪﺓ ﺑﺎﻻﲡﺎﻫﲔ ‪ X‬ﻭ ‪Y‬ﻫﻮ ‪7,2 m‬‬ ‫‪C‬‬ ‫‪S1‬‬

‫‪S1‬‬

‫‪S1‬‬

‫‪S1‬‬

‫‪B‬‬

‫‪A‬‬

‫‪3‬‬

‫‪2‬‬

‫‪1‬‬

‫ﺃﻭﻻﹰ ‪ :‬ﺧﻮﺍﺹ ﻣﻮﺍﺩ ﺍﻹﻧﺸﺎﺀ‬ ‫ﺍﻟﺒﻴﺘﻮﻥ ﻋﻴﺎﺭ ‪ 350 kg/m3‬ﻛﻎ ﺍﲰﻨﺖ ‪ /‬ﻣﺘﺮ ﺍﳌﻜﻌﺐ ﻭﻣﻘﺎﻭﻣﺘﻪ ﺍﳌﻤﻴﺰﺓ ﺍﻷﺳﻄﻮﺍﻧﻴﺔ ‪ 180 kg/cm 2‬ﻋﻠﻰ ﻋﻤﺮ‬ ‫‪ 28‬ﻳﻮﻡ ‪.‬‬ ‫•‬

‫ﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺮﺋﻴﺴﻲ ﻣﻦ ﺍﻟﻨﻮﻉ ﺍﶈﻠﺰﻥ ﻋﺎﱄ ﺍﳌﻘﺎﻭﻣﺔ ﺇﺟﻬﺎﺩ ﺧﻀﻮﻋﻪ ﻻ ﻳﻘﻞ ﻋﻦ ‪. 4000 kg/cm2‬‬

‫•‬

‫ﻓﻮﻻﺫ ﺗﺴﻠﻴﺢ ﺍﻷﺳﺎﻭﺭ ﻣﻦ ﺍﻟﻨﻮﻉ ﺍﻷﻣﻠﺲ ﺍﻟﻄﺮﻱ ﺇﺟﻬﺎﺩ ﺧﻀﻮﻋﻪ ﻻ ﻳﻘﻞ ﻋﻦ ‪. 2400 kg/cm2‬‬

‫ﻋﻨﺪ ﺍﻟﺘﺼﻤﻴﻢ ﻳﺘﻮﺟﺐ ﲣﻔﻴﺾ ﺇﺟﻬﺎﺩ ﺧﻀﻮﻉ ﺍﻟﻔﻮﻻﺫ ﺇﱃ ‪. 3600 kg/cm 2‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪15‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺍﻟﻌﺎﻣﻠﺔ ﺑﺎﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺛﺎﻧﻴﺎﹰ ‪ :‬ﺍﻗﺘﺮﺍﺡ ﻧﻮﻉ ﺍﻟﺒﻼﻃﺎﺕ‬ ‫ﻳﻘﺘﺮﺡ ﺩﺭﺍﺳﺔ ﺍﻟﺴﻘﻒ ﺑﺎﻋﺘﺒﺎﺭﻩ ﻣﺆﻟﻒ ﻣﻦ ﺑﻼﻃﺎﺕ ﻣﺼﻤﺘﺔ‬ ‫ﺛﺎﻟﺜﺎﹰ ‪ :‬ﺍﻟﻌﻨﺎﺻﺮ ﺍﳊﺎﻣﻠﺔ ﻟﺒﻼﻃﺎﺕ ﺍﻟﺴﻘﻒ‬ ‫ﺗﺴﺘﻨﺪ ﺑﻼﻃﺎﺕ ﺍﻟﺴﻘﻒ ﻣﻦ ﺟﻬﺎ‪‬ﺎ ﺍﻷﺭﺑﻌﺔ ﻋﻠﻰ ﺟﻮﺍﺋﺰ ﻣﺘﺪﻟﻴﺔ ﻭﺍﻟﱵ ﺗﺴﺘﻨﺪ ﺑﺪﻭﺭﻫﺎ ﻛﻤﺎ ﰲ ﺍﻟﺸﻜﻞ ﻋﻠﻰ ﺍﻷﻋﻤﺪﺓ ‪.‬‬ ‫ﺭﺍﺑﻌﺎﹰ ‪ :‬ﲢﺪﻳﺪ ﺃﺳﻠﻮﺏ ﻋﻤﻞ ﺍﻟﺒﻼﻃﺎﺕ‬ ‫ﳓﺴﺐ ﻧﺴﺒﺔ ﺍﻻﺳﺘﻄﺎﻟﺔ ﻟﻠﺒﻼﻃﺎﺕ ﻭﻫﻲ ﲨﻴﻌﻬﺎ ﻣﺘﺴﺎﻭﻳﺔ ﺍﻷﺑﻌﺎﺩ ﻭﻣﺘﺸﺎ‪‬ﺔ ﺍﻟﺸﺮﻭﻁ‬ ‫‪0,87 . 7,2‬‬ ‫‪=1‬‬ ‫‪0,87 . 7,2‬‬

‫ﻧﺴﺒﺔ ﺍﺳﺘﻄﺎﻟﺔ ﺍﻟﺒﻼﻃﺔ ‪S1‬‬

‫= ‪rs1‬‬

‫ﻛﺎﻓﺔ ﺍﻟﺒﻼﻃﺎﺕ ﻋﺎﻣﻠﺔ ﺑﺎﲡﺎﻫﲔ‬ ‫)‪(30x60‬‬

‫)‪(30x60‬‬

‫‪S1‬‬

‫‪S1‬‬

‫)‪(30x60‬‬

‫)‪(30x60‬‬

‫)‪(30x60‬‬

‫)‪(30x60‬‬

‫)‪(30x60‬‬

‫‪S1‬‬

‫‪B‬‬ ‫‪S1‬‬

‫)‪(30x60‬‬

‫)‪(30x60‬‬

‫)‪(30x60‬‬

‫)‪(30x60‬‬

‫‪3‬‬

‫‪C‬‬

‫)‪(30x60‬‬

‫‪2‬‬

‫‪A‬‬

‫‪1‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪16‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺍﻟﻌﺎﻣﻠﺔ ﺑﺎﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺧﺎﻣﺴﺎﹰ ‪ :‬ﲢﺪﻳﺪ ﺍﻷﺑﻌﺎﺩ ﺍﻷﻭﻟﻴﺔ ﻟﻠﻤﻘﺎﻃﻊ‬ ‫ﲢﺪﺩ ﺍﻟﺴﻤﺎﻛﺔ ﺍﻟﺪﻧﻴﺎ ﺗﺒﻌﺎﹰ ﻟﻠﺒﻼﻃﺔ ‪ S1‬ﻭﻫﻲ ﻣﺴﺘﻤﺮﺓ ﻣﻦ ﻃﺮﻓﲔ ﻣﺘﺠﺎﻭﺭﻳﻦ ﻭﺫﺍﺕ ﺍﺳﺘﻨﺎﺩ ﺑﺴﻴﻂ ﻣﻦ ﺍﻟﻄﺮﻓﲔ ﺍﳌﺘﺠﺎﻭﺭﻳﻦ‬ ‫ﺍﻷﺧﺮﻳﻦ‬ ‫‪1, 76.720 + 1, 76.720‬‬ ‫‪= 18,1cm‬‬ ‫‪140‬‬

‫= ‪t min‬‬

‫ﻧﻌﺘﻤﺪ ﲰﻚ ﻛﻠﻲ ﻟﻜﺎﻓﺔ ﺍﻟﺒﻼﻃﺎﺕ ﻣﻘﺪﺍﺭﻩ ‪. 18 cm‬‬ ‫ﲰﻚ ﺍﻟﻐﻄﺎﺀ ﺍﳋﺮﺳﺎﱐ ‪1,5 cm‬‬ ‫ﺍﻻﺭﺗﻔﺎﻉ ﺍﻟﻔﻌﺎﻝ ﻟﻠﺘﺴﻠﻴﺢ ﺑﺄﺣﺪ ﺍﻻﲡﺎﻫﺎﺕ ‪d1 = 16 cm‬‬ ‫ﺍﻻﺭﺗﻔﺎﻉ ﺍﻟﻔﻌﺎﻝ ﻟﻠﺘﺴﻠﻴﺢ ﺑﺎﻻﲡﺎﻩ ﺍﻵﺧﺮ ‪d2 = 15 cm‬‬

‫ﻳﺆﺧﺬ ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌﺎﻝ ﻟﻠﺠﻮﺍﺋﺰ ﺍﳌﺴﺘﻤﺮﺓ ﻣﺴﺎﻭﻳﺎﹰ ﺇﱃ ﺍﳌﺴﺎﻓﺔ ﺑﲔ ﳏﻮﺭﻱ ﺍﳌﺴﻨﺪﻳﻦ )‪ (L‬ﻭﺫﻟﻚ ﻋﻠﻰ ﺍﻋﺘﺒﺎﺭ ﺍﳉﻮﺍﺋﺰ ﻋﻨﺎﺻﺮ‬ ‫ﻏﲑ ﻣﺼﺒﻮﺑﺔ ﺑﺸﻜﻞ ﻣﺴﺘﻤﺮ ﻣﻊ ﺍﻟﻌﻨﺎﺻﺮ ﺍﳊﺎﻣﻠﺔ‪.‬‬ ‫ﻛﻤﺎ ﳛﺪﺩ ﺍﻟﻌﻤﻖ ﺍﻷﺩﱏ ﰲ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺪﻟﻴﺔ ﻭ ﺍﻟﱵ ﻻ ﻳﺰﻳﺪ ﳎﺎﺯﻫﺎ ﺍﻟﻔﻌﺎﻝ )‪ (L‬ﻋﻦ ‪ 15‬ﻣﺘﺮﺍﹰ ﻭ ﺗﻘﻞ ﻣﻘﺎﻭﻣﺘﻬﺎ ﺍﳌﻤﻴﺰﺓ ﻋﻦ‬ ‫)‪ (20 Mpa‬ﻣﻦ ﺣﺎﻟﺔ ﺍﳉﺎﺋﺰ ﻣﺴﺘﻤﺮ ﻣﻦ ﺟﺎﻧﺐ ﻭﺍﺣﺪ ﻋﻠﻰ ﺃﻻ ﻳﻘﻞ ﻋﻦ ﺿﻌﻒ ﲰﺎﻛﺔ ﺍﻟﺒﻼﻃﺔ ‪.‬‬ ‫ﻧﻌﺘﻤﺪ‬

‫‪⇒ h = 60cm‬‬

‫‪‬‬ ‫‪2.t=28 cm‬‬ ‫‪‬‬ ‫‪≥  L 720‬‬ ‫= ‪‬‬ ‫‪=55,38 cm‬‬ ‫‪13 13‬‬

‫‪h min‬‬

‫ﻳﺆﺧﺬ ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌﺎﻝ ﻟﻠﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻤﺮﺓ ﻣﺴﺎﻭﻳﺎﹰ ﻟﻠﻘﻴﻤﺔ ﺍﻷﺩﱏ ﻣﻦ ﺍﻟﻘﻴﻢ ﺍﻟﺜﻼﺙ ﺍﻟﺘﺎﻟﻴﺔ ‪:‬‬ ‫ ﺍﳌﺴﺎﻓﺔ ﺑﲔ ﳏﻮﺭﻱ ﺍﻻﺳﺘﻨﺎﺩ )‪.(L‬‬‫ ﺍﳌﺴﺎﻓﺔ ﺍﳊﺮﺓ ﺑﲔ ﺍﳌﺴﻨﺪﻳﻦ )‪ (L0‬ﻣﻀﺎﻓﺎﹰ ﺇﻟﻴﻬﺎ ﺍﻟﻌﻤﻖ ﺍﻟﻔﻌﺎﻝ )‪. (d‬‬‫ ﺍﳌﺴﺎﻓﺔ ﺍﳊﺮﺓ ﺑﲔ ﺍﳌﺴﻨﺪﻳﻦ ﻣﻀﺮﻭﺑﺔ ﺑﺎﳌﻌﺎﻣﻞ )‪.(1.05‬‬‫ﻭﺫﻟﻚ ﻋﻠﻰ ﺍﻋﺘﺒﺎﺭ ﺍﻟﺒﻼﻃﺎﺕ ﻋﻨﺎﺻﺮ ﻣﺼﺒﻮﺑﺔ ﺑﺸﻜﻞ ﻣﺴﺘﻤﺮ ﻣﻊ ﺍﳉﻮﺍﺋﺰ ﺍﳊﺎﻣﻠﺔ ﻭﺍﻟﱵ ﻳﺰﻳﺪ ﲰﻜﻬﺎ ﻋﻦ ﺿﻌﻔﻲ ﲰﻚ‬ ‫ﺍﻟﺒﻼﻃﺔ‪.‬‬ ‫‪⇒ L = 705cm‬‬

‫‪‬‬ ‫‪720cm‬‬ ‫‪‬‬ ‫‪ 690+15=705cm‬‬ ‫‪‬‬ ‫‪ 690.1,05=724,5cm‬‬

‫≤‪L‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪17‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺍﻟﻌﺎﻣﻠﺔ ﺑﺎﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺳﺎﺩﺳﺎﹰ ‪ :‬ﺣﺴﺎﺏ ﻭﺗﻘﺪﻳﺮ ﺍﻷﲪﺎﻝ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ ﻣﻦ ﺍﻟﺒﻼﻃﺔ‬ ‫ﺃﲪﺎﻝ ﺍﻻﺳﺘﺜﻤﺎﺭ‬ ‫ ﺃﲪﺎﻝ ﺩﺍﺋﻤﺔ ﻭﺯﻥ ﺫﺍﰐ ﻟﻠﺒﻼﻃﺔ‬‫ ﺃﲪﺎﻝ ﺩﺍﺋﻤﺔ ﻭﺯﻥ ﻃﺒﻘﱵ ﺍﻟﻌﺰﻝ ﻭﺍﳌﻴﻮﻝ‬‫● ﳎﻤﻮﻉ ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﻜﻠﻴﺔ‬

‫‪g 1 = 0,18 . 25 = 4,5 KN / m2‬‬ ‫‪g 2 = 2 KN / m2‬‬ ‫‪g = ∑ g i = 6,5 KN / m 2‬‬ ‫‪p = 2 KN / m 2‬‬ ‫‪w = g + p = 6,5 + 2 = 8,5 KN / m 2‬‬

‫ﺍﻷﲪﺎﻝ ﺍﳌﺼﻌﺪﺓ‬ ‫• ﺍﻷﲪﺎﻝ ﺍﻟﺪﺍﺋﻤﺔ ﺍﳌﺼﻌﺪﺓ‬ ‫• ﺍﻷﲪﺎﻝ ﺍﻹﺿﺎﻓﻴﺔ ﺍﳌﺼﻌﺪﺓ‬ ‫• ﺍﻷﲪﺎﻝ ﺍﻟﻜﻠﻴﺔ ﺍﳌﺼﻌﺪﺓ‬

‫‪g u =1,5 . g =1,5 . 6,5 = 9,75 KN / m 2‬‬ ‫‪p u = 1,8 . p =1,8 . 2 = 3,6 KN / m 2‬‬ ‫‪wu = g u + p u = 9,75 + 3,6 =13,35 KN / m 2‬‬

‫ﺳﺎﺑﻌﺎﹰ ‪ :‬ﺣﺴﺎﺏ ﺍﳉﻬﻮﺩ ﰲ ﺍﳌﻘﺎﻃﻊ ﺍﳊﺮﺟﺔ ‪ /‬ﻃﺮﻳﻘﺔ ﺍﻟﺸﺮﺍﺋﺢ ‪/‬‬ ‫ﻣﻌﺎﻣﻼﺕ ﺗﻮﺯﻳﻊ ﺍﻷﲪﺎﻝ ﺑﺎﻻﲡﺎﻫﲔ‬ ‫‪r = 1 ⇒ α1 = α 2 = 0,33‬‬ ‫‪g u1 = g u 2 = 0,33 . 9,75 = 3,22 KN / m‬‬ ‫‪p u1 = p u 2 = 0,33 . 3,6 =1,19 KN / m‬‬

‫ﺍﻟﺘﺤﻘﻖ ﻣﻦ ﻟﺰﻭﻡ ﺍﻟﺘﺤﻤﻴﻞ ﺍﻟﺸﻄﺮﳒﻲ‬ ‫‪gu‬‬ ‫‪3‬‬

‫> ‪∴ pu‬‬

‫‪g u 3,22‬‬ ‫=‬ ‫‪=1,07‬‬ ‫‪3‬‬ ‫‪3‬‬

‫‪p u = 1,19 :‬‬

‫ﻳﺘﻮﺟﺐ ﺩﺭﺍﺳﺔ ﺍﳉﻬﻮﺩ ﰲ ﺣﺎﻻﺕ ﺍﻟﺘﺤﻤﻴﻞ ﺍﻟﺸﻄﺮﳒﻲ‬ ‫ﺣﺎﻻﺕ ﺍﻟﺘﺤﻤﻴﻞ ﺍﻟﺸﻄﺮﳒﻲ ﻟﻠﺤﺼﻮﻝ ﻋﻠﻰ ﺍﳉﻬﻮﺩ ﺍﻷﻋﻈﻤﻴﺔ ﰲ ﺍﳌﻘﺎﻃﻊ ﺍﳊﺮﺟﺔ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪18‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺍﻟﻌﺎﻣﻠﺔ ﺑﺎﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫'‪pu = 1,19 KN/m‬‬ ‫'‪gu = 3,22 KN/m‬‬

‫)‪(2‬‬

‫‪c‬‬

‫‪b‬‬

‫)‪(1‬‬

‫‪a‬‬

‫‪Mumax‬‬ ‫'‪pu = 1,19 KN/m‬‬ ‫'‪gu = 3,22 KN/m‬‬

‫)‪(2‬‬

‫‪c‬‬

‫‪b‬‬

‫)‪(1‬‬

‫‪a‬‬

‫‪Mumax‬‬ ‫‪Mumin‬‬ ‫'‪pu = 1,19 KN/m‬‬ ‫'‪gu = 3,22 KN/m‬‬

‫)‪(2‬‬

‫‪c‬‬

‫‪b‬‬

‫)‪(1‬‬

‫‪a‬‬

‫‪Rumax‬‬

‫ﻣﻌﺎﻣﻼﺕ ﺣﺴﺎﺏ ﺍﻟﻌﺰﻭﻡ ﺑﺎﻟﻄﺮﻳﻘﺔ ﺍﻟﺘﻘﺮﻳﺒﻴﺔ‬

‫‪-20‬‬

‫‪-9‬‬ ‫‪11‬‬

‫‪-20‬‬

‫)‪(K‬‬

‫‪11‬‬ ‫‪M= w . L²/k‬‬

‫ﻋﺰﻭﻡ ﺍﻻﻧﻌﻄﺎﻑ ﺍﻷﻋﻈﻤﻴﺔ ﰲ ﺍ‪‬ﺎﺯﺍﺕ‬ ‫‪4, 41.7, 052‬‬ ‫‪= 19,93 KN .m / m‬‬ ‫‪11‬‬

‫= ‪M u 1max = M u 2max‬‬

‫ﻋﺰﻭﻡ ﺍﻻﻧﻌﻄﺎﻑ ﺍﻷﺻﻐﺮﻳﺔ ﻓﻮﻕ ﺍﳌﺴﺎﻧﺪ‬ ‫‪4, 41.7,052‬‬ ‫‪M ua min = M uc min = −‬‬ ‫‪= − 10,96 KN .m / m‬‬ ‫‪20‬‬ ‫‪4, 41.7, 052‬‬ ‫‪= − 24,35 KN .m / m‬‬ ‫‪9‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬

‫‪M ub min = −‬‬

‫‪19‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺍﻟﻌﺎﻣﻠﺔ ﺑﺎﻻﲡﺎﻫﲔ‬

‫ﺛﺎﻣﻨﺎﹰ ‪ :‬ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ‬ ‫ﺳﻴﺘﻢ ﺍﻻﻛﺘﻔﺎﺀ ﰲ ﻫﺬﺍ ﺍﳌﺜﺎﻝ ﺑﺘﺼﻤﻴﻢ ﺍﳌﻘﻄﻊ ﺍﳋﺎﺿﻊ ﻷﻛﱪ ﻋﺰﻡ ﺍﻧﻌﻄﺎﻑ ﺑﺸﻜﻞ ﻣﻔﺼﻞ ﻭﺗﻌﻄﻰ ﻧﺘﺎﺋﺞ ﺗﺼﻤﻴﻢ ﺍﳌﻘـﺎﻃﻊ‬ ‫ﺍﻷﺧﺮﻯ ﰲ ﺍﳉﺪﻭﻝ ﺍﻟﻼﺣﻖ ‪.‬‬ ‫ﺍﳌﻌﻄﻴﺎﺕ ‪:‬‬ ‫‪M ub min = − 24,35 KN .m / m‬‬ ‫‪b =1000 mm : d =150 mm‬‬ ‫‪fc' =18 Mpa : f y = 360 MPa‬‬

‫ﺣﺴﺎﺏ ﺍﻟﻌﻮﺍﻣﻞ ﺍﻟﻼﺑﻌﺪﻳﺔ‬ ‫‪24,35.106‬‬ ‫‪= 0,079‬‬ ‫‪0,9.0,85.18.1000.1502‬‬

‫‪α =1 − 1 − 2.0,079 = 0,082‬‬ ‫‪0, 082‬‬ ‫‪γ 0 =1 −‬‬ ‫‪= 0,96‬‬ ‫‪2‬‬

‫ﺣﺴﺎﺏ ﻣﻘﻄﻊ ﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺮﺋﻴﺴﻲ‬

‫‪24,35.106‬‬ ‫‪= 522 mm 2 / m‬‬ ‫‪0,9.0,96.150.360‬‬

‫ﳔﺘﺎﺭ‬

‫= ‪Ao‬‬

‫= ‪As‬‬

‫‪5T 12 / m ⇒ 565,5 mm2 / m‬‬

‫ﻧﺘﺤﻘﻖ ﻣﻦ ﻣﻘﻄﻊ ﺍﻟﺘﺴﻠﻴﺢ ﲟﻘﺎﺭﻧﺘﻪ ﻣﻊ ﻣﻘﻄﻌﻲ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻷﺻﻐﺮﻱ ﻭﺍﻷﻋﻈﻤﻲ‬ ‫‪As min = 0,0012.1000.150 =180 mm2 / m‬‬ ‫‪535,5 0,85.18‬‬ ‫‪As max = 0,5‬‬ ‫‪.‬‬ ‫‪.1000.150 =1724 mm2 / m‬‬ ‫‪630 + 360 360‬‬

‫‪As min < As < As max o.k‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪20‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺍﻟﻌﺎﻣﻠﺔ ﺑﺎﻻﲡﺎﻫﲔ‬

‫ﻣﻼﺣﻈﺔ‪:‬‬ ‫ﻳﺘﻢ ﺍﶈﺎﻓﻈﺔ ﻋﻠﻰ ﻭﺿﻊ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﻌﻠﻮﻱ ﰲ ﺍﻟﺒﻼﻃﺎﺕ ﰲ ﻣﻜﺎﻧﻪ ﺍﻟﺘﺼﻤﻴﻤﻲ ﺑﺎﺳﺘﻌﻤﺎﻝ ﻛﺮﺍﺳﻲ ﺑﺄﻗﻄﺎﺭ )‪(10 mm‬‬ ‫ﻭ ﺑﺘﺒﺎﻋﺪ )‪ (300 mm‬ﻭﲝﻴﺚ ﳛﻤﻞ ﻗﻀﻴﺒﲔ ﻣﺘﺠﺎﻭﺭﻳﻦ ﻓﻘﻂ‪.‬‬ ‫‪20‬‬ ‫‪14‬‬ ‫‪20‬‬

‫‪20‬‬ ‫‪1T10/m‬‬ ‫‪L=88‬‬

‫ﻣﺴﺎﺣﺔ ﺍﻟﺘﺴﻠﻴﺢ‬

‫ﻋﺰﻡ ﺍﻻﻧﻌﻄﺎﻑ‬

‫ﺍﳌﻘﻄﻊ‬

‫ﺍﳌﺪﺭﻭﺱ‬

‫ﺍﻟﺮﺋﻴﺴﻲ ﺍﳌﻄﻠﻮﺑﺔ‬

‫ﺍﳌﺼﻌﺪ‬

‫)‪As (mm2‬‬

‫)‪Mu (KN.m‬‬

‫‪230‬‬

‫‪10.96‬‬

‫)‪(a‬‬

‫‪424‬‬

‫‪19.93‬‬

‫)‪(1‬‬

‫‪522‬‬

‫‪24.35‬‬

‫)‪(b‬‬

‫‪424‬‬

‫‪19.93‬‬

‫)‪(2‬‬

‫‪230‬‬

‫‪10.96‬‬

‫)‪(c‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪21‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺍﻟﻌﺎﻣﻠﺔ ﺑﺎﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺗﺎﺳﻌﺎﹰ ‪ :‬ﻧﻘﻞ ﺃﲪﺎﻝ ﺍﻟﺒﻼﻃﺎﺕ ﺇﱃ ﺍﳉﻮﺍﺋﺰ‬

‫ﻣﺜﺎﻝ ‪ :‬ﺍﳉﺎﺋﺰ ﺍﻟﻮﺳﻄﻲ‬ ‫ﳜﻀﻊ ﺇﱃ ﺃﲪﺎﻝ ﻣﺜﻠﺜﻴﺔ ﻣﻦ ﺍﳉﺎﻧﺒﲔ‬

‫‪C‬‬

‫‪B‬‬

‫‪A‬‬

‫‪3‬‬

‫‪1‬‬

‫‪2‬‬

‫ﳝﻜﻦ ﲢﻮﻳﻠﻬﺎ ﺇﱃ ﺃﲪﺎﻝ ﻣﻜﺎﻓﺌﺔ ﳊﺴﺎﺏ ﺍﻟﻌﺰﻡ ﺍﻟﺴﺎﻟﺐ ﻋﻠﻰ ﺍﳌﺴﻨﺪ ﺍﻟﻮﺳﻄﻲ ﻟﻠﺠﺎﺋﺰ ﺑﺎﻟﺸﻜﻞ‬ ‫ﺍﳊﻤﻮﻟﺔ ﺍﳌﻜﺎﻓﺌﺔ ﻣﻦ ﻛﻞ ﻃﺮﻑ‬ ‫‪Lx‬‬ ‫‪7 ,2‬‬ ‫‪= 0,625.13,35.‬‬ ‫‪= 30 KN / m‬‬ ‫‪2‬‬ ‫‪2‬‬

‫‪wue 3 = λ . wu .‬‬

‫'‪Wue3 = 2.30 = 60 KN/m‬‬

‫ﻋﺰﻡ ﺍﻻﻧﻌﻄﺎﻑ ﻋﻨﺪ ﺍﳌﺴﻨﺪ ﺍﻟﻮﺳﻄﻲ‬

‫‪wue 3 . L2‬‬ ‫‪60. 7,2 2‬‬ ‫‪=−‬‬ ‫‪= − 388,8 KN.m / m‬‬ ‫‪8‬‬ ‫‪8‬‬

‫‪M ub = −‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪22‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺍﻟﻌﺎﻣﻠﺔ ﺑﺎﻻﲡﺎﻫﲔ‬

‫ﺍﳊﻤﻮﻟﺔ ﺍﳌﻜﺎﻓﺌﺔ ﳊﻤﻮﻟﺔ ﻣﺜﻠﺜﻴﺔ ﳊﺴﺎﺏ ﻋﺰﻡ ﺍﻻﻧﻌﻄﺎﻑ ﺍﳌﻮﺟﺐ ﰲ ﻭﺳﻂ ﳎﺎﺯ ﺍﳉﺎﺋﺰ ﺍﻟﺒﺴﻴﻂ ﻣﻦ ﻛﻞ ﻃﺮﻑ‬ ‫‪Lx‬‬ ‫‪7,2‬‬ ‫‪= 0,667.13,35.‬‬ ‫‪= 32 KN / m‬‬ ‫‪2‬‬ ‫‪2‬‬

‫‪389 KN.m‬‬

‫‪389 KN.m‬‬

‫‪389 KN.m‬‬

‫‪389 KN.m‬‬

‫'‪Wue1 = 2.32 = 64 KN/m‬‬

‫‪wue1 =α . wu .‬‬

‫'‪Wue1 = 2.32 = 64 KN/m‬‬

‫ﳐﻄﻂ ﻭﻋﺰﻡ ﺍﻧﻌﻄﺎﻑ ﺍﳉﺎﺋﺰ ﺍﻟﻮﺳﻄﻲ‬ ‫‪389 KN.m‬‬

‫‪244 KN.m‬‬

‫‪244 KN.m‬‬

‫ﻋﺎﺷﺮﺍﹰ ‪ :‬ﺗﻔﺼﻴﻼﺕ ﺇﻧﺸﺎﺋﻴﺔ‬ ‫ﰎ ﺇﻋﺪﺍﺩ ﺗﻔﺼﻴﻼﺕ ﺇﻧﺸﺎﺋﻴﺔ ﺗﻨﻔﻴﺬﻳﺔ ﻟﺘﺴﻠﻴﺢ ﺍﻟﺒﻼﻃﺎﺕ ﰲ ﻋﺪﺓ ﺣﺎﻻﺕ ﳑﻜﻨﺔ ﺍﺳﺘﻨﺎﺩﺍﹰ ﳌﻌﻄﻴﺎﺕ ﺍﻟﻜﻮﺩ ﺍﻟﻌـﺮﰊ‬ ‫ﺍﻟﺴﻮﺭﻱ ﻟﺘﺼﻤﻴﻢ ﻭﺗﻨﻔﻴﺬ ﺍﳌﻨﺸﺂﺕ ﺑﺎﳋﺮﺳﺎﻧﺔ ﺍﳌﺴﻠﺤﺔ ﺍﳌﻠﺤﻖ ﺭﻗﻢ ‪ : 3‬ﺍﻟﺘﻔﺎﺻﻴﻞ ﻭﺍﻟﺮﺳﻮﻣﺎﺕ ﻟﻌﺎﻡ ‪ 2006‬ﻭﻫﻲ ﻣﺮﻓﻘﺔ‬ ‫ﻭﻓﻖ ﺍﳉﺪﻭﻝ ﺍﻟﺘﺎﱄ ‪:‬‬ ‫ﺟﺪﻭﻝ ﺗﻔﺼﻴﻼﺕ ﺗﺴﻠﻴﺢ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬ ‫ﺍﶈﺘﻮﻯ‬

‫ﺭﻗﻢ ﺍﻟﻠﻮﺣﺔ‬ ‫‪ST1‬‬

‫ﺣﺎﻟﺔ ﺗﺴﻠﻴﺢ ﻣﺴﺘﻘﻴﻢ‬

‫‪ST2‬‬

‫ﺣﺎﻟﺔ ﺗﺴﻠﻴﺢ ﻣﻜﺴﺢ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪23‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺍﻟﻌﺎﻣﻠﺔ ﺑﺎﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫‪30‬‬

‫‪B6-2‬‬

‫‪B6-1‬‬

‫‪175‬‬

‫‪175‬‬ ‫‪60‬‬ ‫‪42 18‬‬

‫‪B3-2‬‬

‫‪30‬‬

‫‪40‬‬

‫‪B3-1‬‬

‫‪690‬‬

‫‪B2-1‬‬

‫‪6T10/m 9‬‬ ‫‪L=770‬‬

‫‪7‬‬

‫‪Scale 1/50‬‬

‫‪B1-1‬‬

‫‪30‬‬

‫‪690‬‬

‫‪30‬‬

‫‪175‬‬

‫‪5T12/m‬‬

‫‪T=18‬‬

‫‪B‬‬

‫‪30‬‬

‫‪690‬‬

‫‪720‬‬

‫‪sec:I-I‬‬

‫‪40‬‬

‫‪B5-2‬‬

‫‪1‬‬

‫‪B5-1‬‬

‫‪1440‬‬

‫‪3‬‬

‫‪690‬‬

‫‪15‬‬

‫‪1470‬‬

‫‪2‬‬

‫‪B2-2‬‬

‫‪30‬‬

‫‪175‬‬

‫‪720‬‬

‫‪6T10/m 4‬‬ ‫‪L=770‬‬

‫‪L=380‬‬

‫‪15‬‬

‫‪720‬‬

‫‪2‬‬

‫‪6T10/m 10‬‬ ‫‪L=770‬‬

‫‪30‬‬

‫‪30‬‬

‫‪40‬‬

‫‪1‬‬

‫‪B1-2‬‬

‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ـﲑ ﻣﺒــﲔ‬ ‫ﻏـ‬

‫‪B3-2‬‬

‫‪690‬‬

‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ﻏــﲑ ﻣﺒــﲔ‬

‫‪690‬‬

‫‪40‬‬

‫‪175‬‬

‫‪5T8/m‬‬ ‫‪L=215‬‬

‫‪I‬‬

‫‪720‬‬

‫‪40‬‬ ‫‪40‬‬ ‫‪B2-2‬‬

‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ﻏــﲑ ﻣﺒــﲔ‬

‫‪B1-2‬‬

‫‪7T10/m‬‬

‫‪175‬‬

‫‪L=215‬‬

‫‪175‬‬

‫)‪(2‬‬

‫‪175‬‬

‫)‪(1‬‬

‫‪I‬‬

‫‪6T10/m 5‬‬ ‫‪L=770‬‬

‫‪8 5T8/m‬‬

‫‪175‬‬

‫‪175‬‬

‫‪5T8/m‬‬ ‫‪L=215‬‬

‫‪175‬‬

‫‪L=380‬‬

‫‪3‬‬

‫‪C‬‬

‫‪6‬‬

‫‪30‬‬

‫ﺍﻟﺒﻼﻃــﺎﺕ ﺍﳌﺼــﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡــﺎﻫﲔ‬

‫‪175‬‬

‫‪5T8/m‬‬ ‫‪L=215‬‬

‫ﺗﻔﺼـــﻴﻼﺕ ﺗﺴـــﻠﻴﺢ‬

‫‪B4-2‬‬

‫‪A‬‬

‫‪B4-1‬‬

‫‪720‬‬

‫‪720‬‬ ‫‪1440‬‬

‫‪ST1‬‬

‫‪3‬‬

‫‪2‬‬

‫‪1‬‬

‫ﺣﺎﻟــﺔ ﺗﺴــﻠﻴﺢ ﻣﺴــﺘﻘﻴﻢ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪24‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ ﺍﻟﻌﺎﻣﻠﺔ ﺑﺎﻻﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫‪30‬‬ ‫‪690‬‬

‫‪B3-2‬‬

‫‪B2-2‬‬

‫‪60‬‬ ‫‪42 18‬‬ ‫‪30‬‬ ‫‪15‬‬

‫‪30‬‬

‫‪40‬‬

‫‪B3-1‬‬

‫‪690‬‬

‫‪B2-1‬‬

‫‪L=940‬‬

‫‪11 3T10/m‬‬

‫‪13 3T10/m ,L=770‬‬

‫‪140‬‬

‫‪9 1T10/m‬‬

‫‪Scale 1/50‬‬

‫‪B1-1‬‬

‫‪30‬‬

‫‪690‬‬

‫‪30‬‬

‫‪30‬‬

‫‪690‬‬

‫‪30‬‬

‫ﺍﻟﺒﻼﻃــﺎﺕ ﺍﳌﺼــﻤﺘﺔ ﺫﺍﺕ ﺍﻻﲡــﺎﻫﲔ‬

‫‪175‬‬

‫‪2T8/m 8‬‬ ‫‪L=215‬‬

‫ﺗﻔﺼـــﻴﻼﺕ ﺗﺴـــﻠﻴﺢ‬

‫‪B4-2‬‬

‫‪175‬‬

‫‪T=18‬‬

‫‪A‬‬

‫‪B4-1‬‬

‫‪720‬‬

‫‪B‬‬

‫‪720‬‬

‫‪sec:II-II‬‬

‫‪40‬‬

‫‪B5-2‬‬

‫‪1‬‬

‫‪B5-1‬‬

‫‪1440‬‬

‫‪3‬‬

‫‪L=940‬‬

‫‪40‬‬

‫‪1470‬‬

‫‪2‬‬

‫‪14 3T10/m ,L=770‬‬

‫‪B1-2‬‬

‫‪140‬‬

‫‪720‬‬

‫‪100‬‬

‫‪40‬‬

‫‪6‬‬

‫‪3T10/m ,L=770‬‬ ‫‪L=380‬‬

‫‪720‬‬

‫‪12 3T10/m‬‬

‫‪30‬‬

‫‪L=940‬‬

‫‪L=940‬‬

‫‪140‬‬

‫‪7 3T10/m ,L=770‬‬

‫‪175‬‬

‫‪690‬‬

‫‪L=215‬‬

‫‪B2-2‬‬

‫‪4 3T10/m‬‬ ‫‪100‬‬

‫‪175‬‬

‫‪15‬‬

‫‪690‬‬

‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ـﲔ‬ ‫ﻏــﲑ ﻣﺒـ‬

‫‪140‬‬

‫‪5 3T10/m‬‬

‫‪140‬‬

‫‪10 2T8/m‬‬

‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ﻏــﲑ ﻣﺒــﲔ‬

‫‪140‬‬

‫‪B3-2‬‬

‫‪30‬‬

‫‪40‬‬ ‫‪40‬‬

‫‪100‬‬ ‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ﻏــﲑ ﻣﺒــﲔ‬

‫‪L=215‬‬

‫‪L=380‬‬

‫‪175‬‬

‫‪2 1T10/m‬‬

‫‪175‬‬

‫‪2T8/m 1‬‬ ‫‪L=215‬‬

‫‪II‬‬

‫‪720‬‬

‫‪100‬‬

‫‪175‬‬

‫‪175‬‬

‫‪175‬‬

‫‪3 2T8/m‬‬

‫‪B6-1‬‬

‫‪B1-2‬‬

‫‪175‬‬

‫)‪(2‬‬

‫‪175‬‬

‫)‪(1‬‬

‫‪175‬‬

‫‪II‬‬

‫‪B6-2‬‬

‫‪C‬‬

‫‪720‬‬ ‫‪1440‬‬

‫‪3‬‬

‫‪ST2‬‬

‫‪2‬‬

‫‪1‬‬

‫ﺣﺎﻟﺔ ﺗﺴــﻠﻴﺢ ﻣﻜﺴــﺢ‬

‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪25‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺩﺭﺍﺳﺔ ﻭﺗﺼﻤﻴﻢ ﺑﻼﻃﺔ ﰲ ﺑﻨﺎﺀ ﺳﻜﲏ‬ ‫ﺑﺎﻋﺘﺒﺎﺭﻫﺎ ﻣﻔﺮﻏﺔ ﺑﺎﲡﺎﻩ ﻭﺍﺣﺪ‬ ‫ﻟﺪﻳﻨﺎ ﺑﻨﺎﺀ ﺳﻜﲏ ﻳﺮﺍﺩ ﺗﺼﻤﻴﻢ ﺑﻼﻃﺔ ﺳﻘﻔﻪ ﺍﳌﺘﻜﺮﺭ ﺑﺎﻋﺘﺒﺎﺭﻫﺎ ﺑﻼﻃﺎﺕ ﻣﻔﺮﻏﺔ ﻫﻮﺭﺩﻱ ﻋﺎﻣﻠﺔ ﺑﺎﲡﺎﻩ ﻭﺍﺣﺪ ‪ .‬ﻳﺒﲔ ﺍﻟﺮﺳﻢ‬ ‫ﺃﺩﻧﺎﻩ ﺍﳌﺴﻘﻂ ﺍﳌﻌﻤﺎﺭﻱ ﻟﻠﻄﺎﺑﻖ ﺍﻷﻭﻝ ﻣﻦ ﺍﻟﺒﻨﺎﺀ ‪.‬‬ ‫‪1770‬‬ ‫‪390‬‬

‫‪N‬‬

‫‪80‬‬

‫‪160‬‬

‫‪480‬‬ ‫‪145‬‬

‫‪90 40‬‬

‫‪480‬‬ ‫‪315‬‬

‫‪180‬‬

‫‪420‬‬ ‫‪240‬‬

‫‪180‬‬

‫‪160‬‬

‫‪180‬‬

‫‪430‬‬ ‫‪590‬‬

‫‪604‬‬

‫‪473‬‬

‫‪380‬‬ ‫‪540‬‬

‫‪A‬‬ ‫‪160‬‬

‫‪W1‬‬

‫‪25‬‬

‫‪25‬‬

‫‪370‬‬

‫‪475‬‬

‫‪D4‬‬

‫‪25‬‬

‫‪10‬‬

‫‪10‬‬

‫‪D4‬‬

‫‪F‬‬

‫‪475‬‬

‫‪398‬‬

‫‪10‬‬

‫‪490‬‬

‫‪10‬‬

‫‪100‬‬

‫‪D4‬‬

‫‪160‬‬

‫‪15‬‬

‫‪G‬‬

‫‪10‬‬

‫‪355‬‬

‫‪320‬‬

‫‪320‬‬

‫‪355‬‬

‫‪475‬‬

‫‪D2‬‬ ‫‪10‬‬

‫‪10‬‬

‫‪10‬‬

‫‪400‬‬

‫‪10 170‬‬

‫‪390‬‬

‫‪390‬‬

‫‪1685‬‬

‫‪10‬‬

‫‪B‬‬

‫‪310‬‬

‫‪10‬‬

‫‪10‬‬

‫‪10‬‬

‫‪130‬‬

‫‪135‬‬

‫‪425‬‬

‫‪D1‬‬

‫‪B‬‬

‫‪130‬‬

‫‪D1‬‬

‫‪10‬‬ ‫‪310‬‬

‫‪310‬‬

‫‪355‬‬

‫‪505‬‬

‫‪70‬‬

‫‪25‬‬ ‫‪D4‬‬

‫‪10‬‬

‫‪10‬‬

‫‪575‬‬

‫‪290‬‬

‫‪425‬‬

‫‪400‬‬

‫‪25‬‬ ‫‪190‬‬

‫‪25‬‬

‫‪130‬‬

‫‪75‬‬

‫‪A‬‬

‫‪10‬‬

‫‪440‬‬

‫‪75‬‬

‫‪170‬‬

‫‪180‬‬

‫‪95‬‬

‫‪70‬‬

‫‪180‬‬

‫‪D2‬‬

‫‪250‬‬

‫‪100‬‬

‫‪355‬‬

‫‪100‬‬

‫‪250‬‬

‫‪D4‬‬

‫‪W1‬‬

‫‪180‬‬

‫‪70‬‬

‫‪355‬‬

‫‪95‬‬

‫‪10‬‬

‫‪190‬‬

‫‪W1‬‬

‫‪400‬‬

‫‪D4‬‬

‫‪D2‬‬

‫‪250‬‬

‫‪360‬‬

‫‪25‬‬

‫‪10‬‬

‫‪10‬‬

‫‪10‬‬

‫‪10‬‬

‫‪367‬‬

‫‪575‬‬

‫‪10‬‬

‫‪401‬‬

‫‪360‬‬

‫‪B‬‬

‫‪D‬‬ ‫‪C‬‬

‫‪310‬‬

‫‪10‬‬

‫‪25‬‬ ‫‪D4‬‬

‫‪640‬‬

‫‪70‬‬

‫‪499‬‬

‫‪1685‬‬

‫‪45‬‬

‫‪110‬‬

‫‪10‬‬

‫‪10‬‬

‫‪110‬‬

‫‪10‬‬

‫‪D3‬‬

‫‪10 225‬‬

‫‪100 10‬‬

‫‪209 10‬‬

‫‪45‬‬

‫‪D3‬‬

‫‪185 10‬‬

‫‪400‬‬

‫‪128‬‬

‫‪10‬‬

‫‪10‬‬

‫‪10 365‬‬

‫‪365‬‬

‫‪10‬‬

‫‪D2‬‬

‫‪100 D103‬‬

‫‪D2‬‬

‫‪D3‬‬

‫‪445‬‬

‫‪D2‬‬ ‫‪265‬‬

‫‪D2‬‬ ‫‪D2‬‬

‫‪E‬‬

‫‪180‬‬

‫‪A‬‬ ‫‪130‬‬

‫‪400‬‬

‫‪1800‬‬

‫‪9‬‬

‫‪7 8‬‬

‫‪6‬‬

‫‪5‬‬

‫‪4‬‬

‫‪2 3‬‬

‫‪1‬‬

‫ﻣ ﺴﻘﻂ ﺍﻟﻄــﺎﺑﻖ ﺍﳌﺘﻜــﺮﺭ‬ ‫‪Scale 1/10‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪27‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺃﻭﻻﹰ ‪ :‬ﺧﻮﺍﺹ ﻣﻮﺍﺩ ﺍﻹﻧﺸﺎﺀ‬ ‫ﺍﻟﺒﻴﺘﻮﻥ ﻋﻴﺎﺭ ‪ 350 kg/m3‬ﻛﻎ ﺍﲰﻨﺖ ‪ /‬ﻣﺘﺮ ﺍﳌﻜﻌﺐ ﻭﻣﻘﺎﻭﻣﺘﻪ ﺍﳌﻤﻴﺰﺓ ﺍﻷﺳﻄﻮﺍﻧﻴﺔ ‪ 180 kg/cm 2‬ﻋﻠﻰ ﻋﻤﺮ‬ ‫‪ 28‬ﻳﻮﻡ ‪.‬‬ ‫•‬

‫ﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺮﺋﻴﺴﻲ ﻣﻦ ﺍﻟﻨﻮﻉ ﺍﶈﻠﺰﻥ ﻋﺎﱄ ﺍﳌﻘﺎﻭﻣﺔ ﺇﺟﻬﺎﺩ ﺧﻀﻮﻋﻪ ﻻ ﻳﻘﻞ ﻋﻦ ‪. 4000 kg/cm2‬‬

‫•‬

‫ﻓﻮﻻﺫ ﺗﺴﻠﻴﺢ ﺍﻷﺳﺎﻭﺭ ﻣﻦ ﺍﻟﻨﻮﻉ ﺍﻷﻣﻠﺲ ﺍﻟﻄﺮﻱ ﺇﺟﻬﺎﺩ ﺧﻀﻮﻋﻪ ﻻ ﻳﻘﻞ ﻋﻦ ‪. 2400 kg/cm2‬‬

‫ﻋﻨﺪ ﺍﻟﺘﺼﻤﻴﻢ ﻳﺘﻮﺟﺐ ﲣﻔﻴﺾ ﺇﺟﻬﺎﺩ ﺧﻀﻮﻉ ﺍﻟﻔﻮﻻﺫ ﺇﱃ ‪. 3600 kg/cm 2‬‬

‫ﺛﺎﻧﻴﺎﹰ ‪ :‬ﺍﻗﺘﺮﺍﺡ ﻧﻮﻉ ﺍﻟﺒﻼﻃﺎﺕ ﻭﺃﺳﻠﻮﺏ ﻋﻤﻠﻬﺎ‬ ‫ﻳﻘﺘﺮﺡ ﺩﺭﺍﺳﺔ ﺍﻟﺒﻼﻃﺔ ﺑﺎﻋﺘﺒﺎﺭﻫﺎ ﻣﻔﺮﻏﺔ ﻋﺎﻣﻠﺔ ﺑﺎﲡﺎﻩ ﻭﺍﺣﺪ‬ ‫ﺛﺎﻟﺜﺎﹰ ‪ :‬ﺍﻟﻌﻨﺎﺻﺮ ﺍﳊﺎﻣﻠﺔ ﻟﺒﻼﻃﺎﺕ ﺍﻟﺴﻘﻒ‬ ‫ﺗﺴﺘﻨﺪ ﺍﻷﻋﺼﺎﺏ ﻋﻠﻰ ﺟﻮﺍﺋﺰ ﳐﻔﻴﺔ ﻭﺍﻟﱵ ﺗﺴﺘﻨﺪ ﺑﺪﻭﺭﻫﺎ ﻋﻠﻰ ﺍﻷﻋﻤﺪﺓ ‪ .‬ﻭﺍﻟﺸﻜﻞ ﺍﻟﺘﺎﱄ ﻳﱭ ﻛﻮﻓﺮﺍﺝ ﺑﻼﻃـﺔ ﺳـﻘﻒ‬ ‫ﻭﺗﻮﺯﻉ ﺍﻷﻋﺼﺎﺏ ﻭﺍﳉﻮﺍﺋﺰ ﺍﳊﺎﻣﻠﺔ ‪.‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪28‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬ ‫‪228,5‬‬

‫‪1020‬‬

‫‪100‬‬

‫‪CWB10‬‬

‫‪CWB7‬‬

‫‪R4-5‬‬

‫‪70‬‬

‫‪70‬‬

‫‪B8-1‬‬

‫‪WB13-1‬‬

‫‪R7-4‬‬

‫‪510‬‬

‫‪WB10-2‬‬

‫‪WB7-2‬‬

‫‪R6-2‬‬

‫‪72‬‬

‫‪50‬‬ ‫‪R2‬‬

‫‪80‬‬

‫‪B7-2‬‬

‫‪80‬‬

‫‪80‬‬

‫‪65‬‬

‫‪B7-3‬‬

‫‪R4-4‬‬

‫‪40‬‬

‫‪R6-2‬‬

‫‪F‬‬

‫‪WB4-2‬‬

‫‪R9‬‬

‫‪CR‬‬

‫‪B9‬‬

‫‪WB2‬‬

‫‪R8‬‬

‫‪B8-2‬‬

‫‪BR2‬‬

‫‪G‬‬

‫‪B7-1‬‬

‫‪E‬‬

‫‪R‬‬

‫‪290‬‬

‫‪WB11‬‬

‫‪430‬‬

‫‪WB4-1‬‬

‫‪65‬‬

‫‪65‬‬

‫‪60‬‬

‫‪60‬‬

‫‪WB12-2‬‬

‫‪R10-2‬‬

‫‪R3-2‬‬ ‫‪R7-2‬‬

‫‪W B9‬‬

‫‪W B5‬‬

‫‪R4-2‬‬ ‫‪R3-2‬‬

‫‪B3-5‬‬

‫‪R1-2‬‬

‫‪R3-2‬‬

‫‪B3-2‬‬

‫‪B‬‬

‫‪B3-1‬‬

‫‪70‬‬

‫‪B3-4‬‬

‫‪B4‬‬

‫‪885‬‬

‫‪885‬‬

‫‪66‬‬

‫‪65‬‬

‫‪WB12-1‬‬

‫‪R10-1‬‬

‫‪R3-1‬‬ ‫‪R7-1‬‬

‫‪W B8-1‬‬

‫‪W B6-1‬‬

‫‪B2-2‬‬

‫‪75‬‬

‫‪CWB8‬‬

‫‪CWB6‬‬

‫‪695‬‬

‫‪B1-2‬‬

‫‪250‬‬

‫‪R1-1‬‬

‫‪B1-1‬‬

‫‪CR‬‬

‫‪75‬‬

‫‪BR1‬‬

‫‪R5‬‬

‫‪R3-1‬‬

‫‪65‬‬

‫‪B2-1‬‬

‫‪DR‬‬ ‫‪R4-1‬‬ ‫‪R3-1‬‬

‫‪R3-1‬‬

‫‪R5‬‬

‫‪51‬‬

‫‪51‬‬

‫‪WB1-1‬‬

‫‪DR‬‬

‫‪CR‬‬

‫‪9‬‬

‫‪WB1-2‬‬

‫‪47‬‬

‫‪47‬‬

‫‪B3-2‬‬

‫‪D‬‬ ‫‪C‬‬

‫‪B6-1‬‬

‫‪B5‬‬

‫‪R3-2‬‬

‫‪445‬‬

‫‪B6-2‬‬

‫‪WB3‬‬

‫‪WB10-1‬‬

‫‪R7-3‬‬

‫‪R4-3‬‬

‫‪50‬‬

‫‪R6-1‬‬

‫‪R6-1‬‬

‫‪50‬‬

‫‪35 124‬‬

‫‪445‬‬

‫‪189‬‬

‫‪t = 14‬‬ ‫‪W B7-1‬‬

‫‪CWB13‬‬

‫‪t = 14‬‬

‫‪50‬‬

‫‪100‬‬

‫‪515‬‬

‫‪50‬‬

‫‪CB9‬‬

‫‪W B4-3‬‬

‫‪BR2‬‬ ‫‪CR‬‬

‫‪B8-3‬‬

‫‪520‬‬ ‫‪70‬‬

‫‪CR‬‬

‫‪B7-4‬‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫‪BR1‬‬

‫‪655‬‬

‫‪7 8‬‬ ‫‪2 3‬‬ ‫‪4 5 6‬‬ ‫ـﺎﺕ ﺃ ﺳﻘ ﻒ ﺍﻟﻄﻮﺍﺑــﻖ ﺍﳌﺘﻜــﺮﺭﺓ‬ ‫ﻛﻮ ﻓﺮﺍ ﺝ ﺑﻼﻃـ‬

‫‪A‬‬

‫‪100‬‬

‫‪1‬‬

‫‪Scale 1/100‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪29‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺭﺍﺑﻌﺎﹰ ‪ :‬ﲢﺪﻳﺪ ﺍﻷﺑﻌﺎﺩ ﺍﻷﻭﻟﻴﺔ ﻟﻠﻤﻘﺎﻃﻊ‬ ‫ﲢﺪﺩ ﺍﻟﺴﻤﺎﻛﺔ ﺍﻟﺪﻧﻴﺎ ﻟﺒﻼﻃﺔ ﺍﻟﺴﻘﻒ ﺍﺳﺘﻨﺎﺩﺍﹰ ﻟﻠﺴﻤﺎﻛﺔ ﺍﻟﺪﻧﻴﺎ ﻟﻸﻋﺼﺎﺏ ﻭﺍﳉﻮﺍﺋﺰ ﻣﻌﺎﹰ ﺑﺎﻋﺘﺒﺎﺭ ﺍﳉﻮﺍﺋﺰ ﳐﻔﻴﺔ ‪.‬‬ ‫ﺍﺳﺘﻨﺎﺩﺍﹰ ﻷﻃﻮﻝ ﻋﺼﺐ ﻣﺴﺘﻤﺮ ﻣﻦ ﻃﺮﻑ ﻭﺍﺣﺪ ﻓﻘﻂ‬ ‫‪507,5‬‬ ‫‪= 28,2 cm‬‬ ‫‪18‬‬

‫= ‪t min‬‬

‫ﺍﺳﺘﻨﺎﺩﺍﹰ ﻷﻃﻮﻝ ﺟﺎﺋﺰ ﺍﺳﺘﻨﺎﺩ ﺑﺴﻴﻂ ﻣﻦ ﺍﻟﻄﺮﻓﲔ‬ ‫‪484‬‬ ‫‪= 34,57 cm‬‬ ‫‪14‬‬

‫= ‪t min‬‬

‫ﻧﻌﺘﻤﺪ ﲰﻚ ﻛﻠﻲ ﻟﺒﻼﻃﺔ ﺍﻟﺴﻘﻒ ) ﺃﻋﺼﺎﺏ ﻭﺟﻮﺍﺋﺰ ( ‪. 35 cm‬‬ ‫ﺍﻻﺭﺗﻔﺎﻉ ﺍﻟﻔﻌﺎﻝ ﻟﻠﺘﺴﻠﻴﺢ ﺍﻟﺮﺋﻴﺴﻲ ﻟﻠﺠﻮﺍﺋﺰ‬

‫‪d B = 33 cm‬‬

‫ﺍﻻﺭﺗﻔﺎﻉ ﺍﻟﻔﻌﺎﻝ ﻟﻠﺘﺴﻠﻴﺢ ﺍﻟﺮﺋﻴﺴﻲ ﻟﻸﻋﺼﺎﺏ ‪dR = 32 cm‬‬

‫ﻭﺍﺳﺘﻨﺎﺩﺍﹰ ﻟﻼﺷﺘﺮﺍﻃﺎﺕ ﺍﻟﺒﻌﺪﻳﺔ ﳌﻘﺎﻃﻊ ﺍﻷﻋﺼﺎﺏ ﻳﺘﻢ ﺍﻋﺘﻤﺎﺩ ﺍﳌﻘﻄﻊ ﺍﻟﻌﺮﺿﻲ ﻟﻸﻋﺼﺎﺏ ﺍﳌﺒﲔ ﺑﺎﻟﺮﺳﻢ ﺃﺩﻧﺎﻩ‬

‫ﺑﻠﻮﻛ ﺔ‪1T8/20 1T8/‬‬

‫ـﺔ ﺍﳍﻮﺭﺩﻱ‬ ‫ﻣ ﻘ ﻄ ﻊ ﳕ ﻮ ﺫ ﺟﻲ ﰲ ﺑﻼﻃـ‬ ‫‪Scale 1/10‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪30‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺧﺎﻣﺴﺎﹰ ‪ :‬ﺗﻘﺪﻳﺮ ﺍﳊﻤﻮﻻﺕ‬ ‫ﺤﻤﻭﻻﺕ ﺍﻻﺴﺘﺜﻤﺎﺭ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﻟﻄﻮﱄ ﻣﻦ ﺍﻟﻌﺼﺐ‬ ‫‪ -‬ﻭﺯﻥ ﺑﻼﻃﺔ ﺍﻟﺘﻐﻄﻴﺔ ) ﺑﻼﻃﺔ ﺍﻟﻀﻐﻂ (‬

‫‪g 1 = 0,52 . 0,08 . 25 = 1,04 KN / ml‬‬ ‫‪0,12 + 0,15‬‬ ‫= ‪g2‬‬ ‫‪. 0, 27 . 25 = 0,91 KN / ml‬‬ ‫‪2‬‬

‫ ﻭﺯﻥ ﺍﻟﻘﺴﻢ ﺍﳌﺘﺪﱄ ﻣﻦ ﺍﻟﻌﺼﺐ ) ﺟﺬﻉ ﺍﻟﻌﺼﺐ (‬‫‪ -‬ﻭﺯﻥ ﺍﻟﻘﻮﺍﻟﺐ ﺍﻟﺪﺍﺋﻤﺔ‬

‫‪g 3 = 5 . 0,15 = 0,75 KN / ml‬‬

‫‪ -‬ﻭﺯﻥ ﻃﺒﻘﺔ ﺍﻟﺘﻐﻄﻴﺔ‬

‫‪g 4 = 3 . 0,52 = 1,56 KN / ml‬‬

‫‪ -‬ﺍﳊﻤﻞ ﺍﳌﻜﺎﻓﺊ ﻟﻠﺠﺪﺭﺍﻥ ﻭﺍﻟﻘﻮﺍﻃﻊ ﺍﳋﻔﻴﻔﺔ‬

‫‪g 5 = 1,75. 0,52 = 0,91 KN / ml‬‬

‫● ﳎﻤﻮﻉ ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ‬

‫‪g = ∑ g i = 5,17 KN / ml‬‬

‫● ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ‬

‫‪p = 2 . 0,52 = 1,04 KN / ml‬‬

‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﻜﻠﻴﺔ‬

‫‪w = 5,17 + 1,04 = 6, 21 KN / ml‬‬

‫ﺍﻟﺤﻤﻭﻻﺕ ﺍﻟﻤﺼﻌﺩﺓ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﻟﻄﻮﱄ ﻣﻦ ﺍﻟﻌﺼﺐ‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ ﺍﳌﺼﻌﺪﺓ‬

‫‪g u = 1,5 . 5,17 = 7,76 KN / ml‬‬

‫● ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ﺍﳌﺼﻌﺪﺓ‬

‫‪pu = 1,8.1,04 =1,87 KN / ml‬‬

‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﻜﻠﻴﺔ ﺍﳌﺼﻌﺪﺓ‬

‫‪wu = 7,76 +1.87 = 9,63 KN / ml‬‬

‫ﻣﻼﺣﻈﺔ ‪ :‬ﺗﻀﺎﻋﻒ ﺍﻷﲪﺎﻝ ﺍﻹﺿﺎﻓﻴﺔ ﻋﻠﻰ ﻇﻔﺮ ﺍﻟﻌﺼﺐ ﻭﺗﻮﺿﻊ ﲪﻮﻟﺔ ﻣﺮﻛﺰﺓ ﻋﻠﻰ ﺭﺃﺱ ﺍﻟﻌﺼﺐ ﺍﻟﻈﻔﺮﻱ ﲤﺜـﻞ‬

‫ﲪﻮﻟﺔ ﺍﻟﺘﺼﻮﻳﻨﺔ‬

‫‪q=1‬‬ ‫‪p=2.1‬‬ ‫‪p=1,05‬‬ ‫‪g=5.2‬‬ ‫‪135‬‬

‫‪70‬‬

‫‪CR‬‬

‫‪g=5.2‬‬ ‫‪295‬‬

‫‪R6-2‬‬

‫‪80‬‬

‫‪392,5‬‬

‫‪65‬‬

‫‪R6-1‬‬

‫ﺳﺎﺩﺳﺎﹰ ‪ :‬ﺣﺴﺎﺏ ﺍﳉﻬﻮﺩ ﰲ ﺍﳌﻘﺎﻃﻊ ﺍﳊﺮﺟﺔ‬ ‫ﻻ ﳝﻜﻦ ﺍﻋﺘﻤﺎﺩ ﻃﺮﻳﻘﺔ ﺍﻟﻌﻮﺍﻣﻞ ﺍﻟﺘﻘﺮﻳﺒﻴﺔ ﻟﻼﺧﺘﻼﻑ ﺍﻟﻜﺒﲑ ﰲ ﺃﻃﻮﺍﻝ ﺍ‪‬ﺎﺯﺍﺕ ﺍﳌﺘﺠﺎﻭﺭﺓ ﻭﻳﺘﻮﺟﺐ ﺍﳊﺴﺎﺏ‬

‫ﺑﺎﻟﻄﺮﻕ ﺍﻟﺪﻗﻴﻘﺔ ‪ .‬ﻓﻴﻤﺎ ﻳﻠﻲ ﻋﺮﺿﺎﹰ ﻟﻨﺘﺎﺋﺞ ﺍﳊﺴﺎﺏ ﺑﺎﺳﺘﺨﺪﺍﻡ ﺑﺮﺍﻣﺞ ﺍﻟﺘﺤﻠﻴﻞ ﻭﺍﻟﺘﺼﻤﻴﻢ ﺍﻹﻧﺸﺎﺋﻲ ‪:‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪31‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻻﲡﺎﻩ ﺍﻟﻮﺍﺣﺪ‬

‫ﺳﺎﺑﻌﺎﹰ ‪ :‬ﺗﻔﺼﻴﻼﺕ ﺇﻧﺸﺎﺋﻴﺔ‬ ‫ﰎ ﺇﻋﺪﺍﺩ ﺗﻔﺼﻴﻼﺕ ﺇﻧﺸﺎﺋﻴﺔ ﺗﻨﻔﻴﺬﻳﺔ ﻟﺘﺴﻠﻴﺢ ﺍﻟﻌﺼﺐ ﺍﺳﺘﻨﺎﺩﺍﹰ ﳌﻌﻄﻴﺎﺕ ﺍﻟﻜﻮﺩ ﺍﻟﻌﺮﰊ ﺍﻟﺴﻮﺭﻱ ﻟﺘﺼﻤﻴﻢ ﻭﺗﻨﻔﻴـﺬ‬ ‫ﺍﳌﻨﺸﺂﺕ ﺑﺎﳋﺮﺳﺎﻧﺔ ﺍﳌﺴﻠﺤﺔ ﺍﳌﻠﺤﻖ ﺭﻗﻢ ‪ : 3‬ﺍﻟﺘﻔﺎﺻﻴﻞ ﻭﺍﻟﺮﺳﻮﻣﺎﺕ ﻟﻌﺎﻡ ‪: 2006‬‬ ‫‪2‬‬ ‫‪1‬‬

‫‪3‬‬

‫‪5‬‬ ‫‪4‬‬

‫‪1‬‬

‫‪2‬‬ ‫‪B8-1‬‬ ‫‪5‬‬

‫‪B6-1‬‬

‫‪B7-2‬‬ ‫‪3‬‬

‫‪4‬‬

‫‪E‬‬

‫‪F‬‬ ‫ﻣﻘﻄﻊ ﻃ ﻮ ﱄ‬

‫‪D‬‬

‫ـﺐ‬ ‫ﰲ ﺍﻟﻌﺼـ‬

‫‪Scale 1/50‬‬ ‫‪2‬‬

‫‪4‬‬

‫‪Sec 1-1‬‬ ‫‪Scale 1/10‬‬

‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪37‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬

‫ﺩﺭﺍﺳﺔ ﻭﺗﺼﻤﻴﻢ ﺳﻘﻒ ﺻﺎﻟﺔ‬ ‫ﺑﺎﻋﺘﺒﺎﺭﻩ ﺑﻼﻃﺎﺕ ﻣﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬

‫ﺃﺑﻌﺎﺩ ﺍﻟﺼﺎﻟﺔ ﰲ ﺍﳌﺴﻘﻂ ﺍﻷﻓﻘﻲ‬

‫‪8,8 x 17,6 m‬‬

‫ﺍﻟﺘﺒﺎﻋﺪ ﺑﲔ ﳏﺎﻭﺭ ﺍﻷﻋﻤﺪﺓ ﺑﺎﻻﲡﺎﻫﲔ ‪ X‬ﻭ ‪ Y‬ﻫﻮ ‪4,4 m‬‬

‫‪B‬‬ ‫‪S1‬‬

‫‪S1‬‬

‫‪880‬‬

‫‪A‬‬ ‫‪880‬‬

‫‪880‬‬ ‫‪1760‬‬

‫‪3‬‬

‫‪2‬‬

‫‪1‬‬

‫ﺃﻭﻻﹰ ‪ :‬ﺧﻮﺍﺹ ﻣﻮﺍﺩ ﺍﻹﻧﺸﺎﺀ‬ ‫ﺍﻟﺒﻴﺘﻮﻥ ﻋﻴﺎﺭ ‪ 350 kg/m3‬ﻛﻎ ﺍﲰﻨﺖ ‪ /‬ﻣﺘﺮ ﺍﳌﻜﻌﺐ ﻭﻣﻘﺎﻭﻣﺘﻪ ﺍﳌﻤﻴﺰﺓ ﺍﻷﺳﻄﻮﺍﻧﻴﺔ ‪ 180 kg/cm 2‬ﻋﻠﻰ ﻋﻤﺮ‬ ‫‪ 28‬ﻳﻮﻡ ‪.‬‬ ‫•‬

‫ﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺮﺋﻴﺴﻲ ﻣﻦ ﺍﻟﻨﻮﻉ ﺍﶈﻠﺰﻥ ﻋﺎﱄ ﺍﳌﻘﺎﻭﻣﺔ ﺇﺟﻬﺎﺩ ﺧﻀﻮﻋﻪ ﻻ ﻳﻘﻞ ﻋﻦ ‪. 4000 kg/cm2‬‬

‫•‬

‫ﻓﻮﻻﺫ ﺗﺴﻠﻴﺢ ﺍﻷﺳﺎﻭﺭ ﻣﻦ ﺍﻟﻨﻮﻉ ﺍﻷﻣﻠﺲ ﺍﻟﻄﺮﻱ ﺇﺟﻬﺎﺩ ﺧﻀﻮﻋﻪ ﻻ ﻳﻘﻞ ﻋﻦ ‪. 2400 kg/cm2‬‬

‫ﻋﻨﺪ ﺍﻟﺘﺼﻤﻴﻢ ﻳﺘﻮﺟﺐ ﲣﻔﻴﺾ ﺇﺟﻬﺎﺩ ﺧﻀﻮﻉ ﺍﻟﻔﻮﻻﺫ ﺇﱃ ‪. 3600 kg/cm 2‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪39‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺛﺎﻧﻴﺎﹰ ‪ :‬ﺍﻗﺘﺮﺍﺡ ﻧﻮﻉ ﺍﻟﺒﻼﻃﺎﺕ‬ ‫ﻳﻘﺘﺮﺡ ﺩﺭﺍﺳﺔ ﺍﻟﺴﻘﻒ ﺑﺎﻋﺘﺒﺎﺭﻩ ﻣﺆﻟﻒ ﻣﻦ ﺑﻼﻃﺎﺕ ﻣﻔﺮﻏﺔ )ﻫﻮﺭﺩﻱ(‬ ‫ﺛﺎﻟﺜﺎﹰ ‪ :‬ﺍﻟﻌﻨﺎﺻﺮ ﺍﳊﺎﻣﻠﺔ ﻟﺒﻼﻃﺎﺕ ﺍﻟﺴﻘﻒ‬ ‫ﺗﺴﺘﻨﺪ ﺑﻼﻃﺎﺕ ﺍﻟﺴﻘﻒ ﻣﻦ ﺟﻬﺎ‪‬ﺎ ﺍﻷﺭﺑﻌﺔ ﻋﻠﻰ ﺟﻮﺍﺋﺰ ﻣﺘﺪﻟﻴﺔ ﻭﺍﻟﱵ ﺗﺴﺘﻨﺪ ﺑﺪﻭﺭﻫﺎ ﻛﻤﺎ ﰲ ﺍﻟﺸﻜﻞ ﻋﻠﻰ ﺍﻷﻋﻤﺪﺓ ‪.‬‬ ‫ﺭﺍﺑﻌﺎﹰ ‪ :‬ﲢﺪﻳﺪ ﺃﺳﻠﻮﺏ ﻋﻤﻞ ﺍﻟﺒﻼﻃﺎﺕ‬ ‫ﳓﺴﺐ ﻧﺴﺒﺔ ﺍﻻﺳﺘﻄﺎﻟﺔ ﻟﻠﺒﻼﻃﺎﺕ ﻭﻫﻲ ﲨﻴﻌﻬﺎ ﻣﺘﺴﺎﻭﻳﺔ ﺍﻷﺑﻌﺎﺩ ﻭﻣﺘﺸﺎ‪‬ﺔ ﺍﻟﺸﺮﻭﻁ‬ ‫‪8,8‬‬ ‫‪= 1,15‬‬ ‫‪0,87.8,8‬‬

‫ﻧﺴﺒﺔ ﺍﺳﺘﻄﺎﻟﺔ ﺍﻟﺒﻼﻃﺔ ‪S1‬‬

‫= ‪rs 1‬‬

‫ﻛﺎﻓﺔ ﺍﻟﺒﻼﻃﺎﺕ ﻋﺎﻣﻠﺔ ﺑﺎﲡﺎﻫﲔ‬ ‫ﻭﺍﻟﺸﻜﻞ ﺍﻟﺘﺎﱄ ﻳﺒﲔ ﻛﻮﻓﺮﺍﺝ ﺑﻼﻃﺔ ﺍﻟﺴﻘﻒ ﻭﺗﻮﺯﻉ ﺍﻷﻋﺼﺎﺏ ﻭﺍﳉﻮﺍﺋﺰ ﺍﳊﺎﻣﻠﺔ ‪.‬‬ ‫‪B2-2‬‬

‫‪B‬‬

‫‪B2-1‬‬

‫‪B5‬‬

‫‪R2-2‬‬

‫‪B4‬‬

‫‪R2-1‬‬

‫‪B3‬‬

‫‪R1‬‬

‫‪880‬‬

‫‪R1‬‬

‫‪B1-2‬‬

‫‪A‬‬

‫‪B1-1‬‬

‫‪880‬‬

‫‪880‬‬ ‫‪1760‬‬

‫‪3‬‬

‫‪2‬‬

‫‪1‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪40‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬

‫ﺧﺎﻣﺴﺎﹰ ‪ :‬ﲢﺪﻳﺪ ﺍﻷﺑﻌﺎﺩ ﺍﻷﻭﻟﻴﺔ ﻟﻠﻤﻘﺎﻃﻊ‬ ‫ﲢﺪﺩ ﺍﻟﺴﻤﺎﻛﺔ ﺍﻟﺪﻧﻴﺎ ﺗﺒﻌﺎﹰ ﻟﻠﺒﻼﻃﺔ ‪ S1‬ﻭﻫﻲ ﻣﺴﺘﻤﺮﺓ ﻣﻦ ﻃﺮﻑ ﻭﺍﺣﺪ ﻓﻘﻂ ‪.‬‬ ‫‪0, 76.850 + 3.850‬‬ ‫‪= 26, 63cm‬‬ ‫‪120‬‬

‫= ‪t min‬‬

‫ﻧﻌﺘﻤﺪ ﲰﻚ ﻛﻠﻲ ﻟﻜﺎﻓﺔ ﺍﻟﺒﻼﻃﺎﺕ ﻣﻘﺪﺍﺭﻩ ‪. 35 cm‬‬ ‫ﺣﻴﺚ ﺍﺭﺗﻔﺎﻉ ﺑﻠﻮﻙ ﺍﳍﻮﺭﺩﻱ ‪ 27 cm‬ﻭﺃﺑﻌﺎﺩ ﺍﻟﺒﻠﻮﻛﺔ ‪ (40; 37)×20×27 cm‬ﻭ ﲰﻚ ﺑﻼﻃﺔ ﺍﻟﻀﻐﻂ ‪.8 cm‬‬ ‫ﺍﻟﻌﺮﺽ ﺍﻟﻌﻠﻮﻱ ﳉﺬﻉ ﺍﻟﻌﺼﺐ ‪ 15 cm‬ﻭﺍﻟﻌﺮﺽ ﺍﻟﺴﻔﻠﻲ ‪ 18 cm‬ﻭ ﺍﻟﺒﻌﺪ ﺑﲔ ﳏﺎﻭﺭ ﺍﻷﻋﺼﺎﺏ ‪. 55 cm‬‬ ‫ﲰﻚ ﺍﻟﻐﻄﺎﺀ ﺍﳋﺮﺳﺎﱐ ‪1,5 cm‬‬ ‫ﺍﻻﺭﺗﻔﺎﻉ ﺍﻟﻔﻌﺎﻝ ﻟﻠﺘﺴﻠﻴﺢ ﺑﺄﺣﺪ ﺍﻻﲡﺎﻫﺎﺕ ‪d1 = 33 cm‬‬ ‫ﺍﻻﺭﺗﻔﺎﻉ ﺍﻟﻔﻌﺎﻝ ﻟﻠﺘﺴﻠﻴﺢ ﺑﺎﻻﲡﺎﻩ ﺍﻵﺧﺮ ‪d2 = 32 cm‬‬

‫ﻭﺍﺳﺘﻨﺎﺩﺍﹰ ﻟﻼﺷﺘﺮﺍﻃﺎﺕ ﺍﻟﺒﻌﺪﻳﺔ ﳌﻘﺎﻃﻊ ﺍﻷﻋﺼﺎﺏ ﻳﺘﻢ ﺍﻋﺘﻤﺎﺩ ﺍﳌﻘﻄﻊ ﺍﻟﻌﺮﺿﻲ ﻟﻸﻋﺼﺎﺏ ﺍﳌﺒﲔ ﺑﺎﻟﺮﺳﻢ ﺃﺩﻧﺎﻩ‬ ‫ﺑﻠﻮﻛ ﺔ‪2T8/‬‬

‫ﻣﻘﻄﻊ ﳕﻮﺫﺟﻲ‬

‫‪1T8/20‬‬

‫ـﺔ ﺍﳍﻮﺭﺩﻱ‬ ‫ﰲ ﺑﻼﻃـ‬

‫ﻳﺆﺧﺬ ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌﺎﻝ ﻟﻠﺠﻮﺍﺋﺰ ﺍﳌﺴﺘﻤﺮﺓ ﻣﺴﺎﻭﻳﺎﹰ ﺇﱃ ﺍﳌﺴﺎﻓﺔ ﺑﲔ ﳏﻮﺭﻱ ﺍﳌﺴﻨﺪﻳﻦ )‪ (L‬ﻭﺫﻟﻚ ﻋﻠﻰ ﺍﻋﺘﺒﺎﺭ ﺍﳉﻮﺍﺋﺰ ﻋﻨﺎﺻﺮ‬ ‫ﻏﲑ ﻣﺼﺒﻮﺑﺔ ﺑﺸﻜﻞ ﻣﺴﺘﻤﺮ ﻣﻊ ﺍﻟﻌﻨﺎﺻﺮ ﺍﳊﺎﻣﻠﺔ‪.‬‬ ‫ﻛﻤﺎ ﳛﺪﺩ ﺍﻟﻌﻤﻖ ﺍﻷﺩﱏ ﰲ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺪﻟﻴﺔ ﻭ ﺍﻟﱵ ﻻ ﻳﺰﻳﺪ ﳎﺎﺯﻫﺎ ﺍﻟﻔﻌﺎﻝ )‪ (L‬ﻋﻦ ‪ 15‬ﻣﺘﺮﺍﹰ ﻭ ﺗﻘﻞ ﻣﻘﺎﻭﻣﺘﻬﺎ ﺍﳌﻤﻴﺰﺓ ﻋﻦ‬ ‫)‪ (20 Mpa‬ﻣﻦ ﺣﺎﻟﺔ ﺍﳉﺎﺋﺰ ﻣﺴﺘﻤﺮ ﻣﻦ ﺟﺎﻧﺐ ﻭﺍﺣﺪ ﻋﻠﻰ ﺃﻻ ﻳﻘﻞ ﻋﻦ ﺿﻌﻒ ﲰﺎﻛﺔ ﺍﻟﺒﻼﻃﺔ ‪.‬‬ ‫ﻧﻌﺘﻤﺪ‬

‫‪⇒ h = 75 cm‬‬

‫‪‬‬ ‫‪2 . t=70 cm‬‬ ‫‪‬‬ ‫‪‬‬ ‫‪ L = 880 =73,33 cm‬‬ ‫‪12 12‬‬

‫≥ ‪h min‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪41‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬

‫ﻳﺆﺧﺬ ﺍ‪‬ﺎﺯ ﺍﻟﻔﻌﺎﻝ ﻟﻸﻋﺼﺎﺏ ﺍﳌﺴﺘﻤﺮﺓ ﺃﻭ ﺫﺍﺕ ﺍﻻﺳﺘﻨﺎﺩ ﺍﻟﺒﺴﻴﻂ ﻣﺴﺎﻭﻳﺎﹰ ﻟﻠﻘﻴﻤﺔ ﺍﻷﺩﱏ ﻣﻦ ﺍﻟﻘﻴﻢ ﺍﻟﺜﻼﺙ ﺍﻟﺘﺎﻟﻴﺔ ‪:‬‬ ‫ ﺍﳌﺴﺎﻓﺔ ﺑﲔ ﳏﻮﺭﻱ ﺍﻻﺳﺘﻨﺎﺩ )‪.(L‬‬‫ ﺍﳌﺴﺎﻓﺔ ﺍﳊﺮﺓ ﺑﲔ ﺍﳌﺴﻨﺪﻳﻦ )‪ (L0‬ﻣﻀﺎﻓﺎﹰ ﺇﻟﻴﻬﺎ ﺍﻟﻌﻤﻖ ﺍﻟﻔﻌﺎﻝ )‪. (d‬‬‫ ﺍﳌﺴﺎﻓﺔ ﺍﳊﺮﺓ ﺑﲔ ﺍﳌﺴﻨﺪﻳﻦ ﻣﻀﺮﻭﺑﺔ ﺑﺎﳌﻌﺎﻣﻞ )‪.(1,05‬‬‫ﻭﺫﻟﻚ ﻋﻠﻰ ﺍﻋﺘﺒﺎﺭ ﺍﻷﻋﺼﺎﺏ ﻋﻨﺎﺻﺮ ﻣﺼﺒﻮﺑﺔ ﺑﺸﻜﻞ ﻣﺴﺘﻤﺮ ﻣﻊ ﺍﳉﻮﺍﺋﺰ ﺍﳊﺎﻣﻠﺔ ﻭﺍﻟﱵ ﻳﺰﻳﺪ ﲰﻜﻬﺎ ﻋﻦ ﺿﻌﻔﻲ ﲰﻚ‬ ‫ﺍﻟﺒﻼﻃﺔ‪.‬‬ ‫‪⇒ L=880 cm‬‬

‫‪‬‬ ‫‪880 cm‬‬ ‫‪‬‬ ‫‪ 850+32=882 cm‬‬ ‫‪‬‬ ‫‪850.1,05=892,5cm‬‬

‫≤‪L‬‬

‫ﺳﺎﺩﺳﺎﹰ ‪ :‬ﺣﺴﺎﺏ ﻭﺗﻘﺪﻳﺮ ﺍﻷﲪﺎﻝ‬ ‫ﺳﻨﻌﺘﻤﺪ ﻣﺼﻄﻠﺢ ﺍﻻﲡﺎﻩ ﺍﻟﻘﺼﲑ ﻟﻼﲡﺎﻩ ﺍﳌﺴﺘﻤﺮ ﻣﻦ ﺍﻟﺒﻼﻃﺔ ﻭﺍﻻﲡﺎﻩ ﺍﻟﻄﻮﻳﻞ ﻟﻼﲡﺎﻩ ﺑﺴﻴﻂ ﺍﻻﺳﺘﻨﺎﺩ‪.‬‬ ‫ﺃﲪﺎﻝ ﺍﻻﺳﺘﺜﻤﺎﺭ‬ ‫ﲪﻮﻻﺕ ﺍﻻﺳﺘﺜﻤﺎﺭ ﻋﻠﻰ ﺷﺮﳛﺔ ﻣﺴﺎﺣﺘﻬﺎ ‪S2‬‬ ‫‪ -‬ﻭﺯﻥ ﺑﻼﻃﺔ ﺍﻟﺘﻐﻄﻴﺔ ﻭﺍﻷﻋﺼﺎﺏ‬

‫‪g 1 = [0,552 .0, 35 − (0,55 − 0,165) 2 .(0,35 − 0, 08)] .25 = 1, 65 KN / S 2‬‬

‫ ﻭﺯﻥ ﺍﻟﻘﻮﺍﻟﺐ ﺍﻟﺪﺍﺋﻤﺔ‬‫ ﻭﺯﻥ ﻃﺒﻘﺔ ﺍﻟﺘﻐﻄﻴﺔ‬‫‪ -‬ﺍﳊﻤﻞ ﺍﳌﻜﺎﻓﺊ ﻟﻠﺠﺪﺭﺍﻥ ﻭﺍﻟﻘﻮﺍﻃﻊ‬

‫‪g 2 = 2.0,15 = 0, 3 KN / S 2‬‬ ‫‪g 3 = 3 . 0,55 2 = 0,91 KN / S 2‬‬

‫‪g 4 =1, 75.0,552 = 0,53 KN / S 2‬‬

‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ‬

‫‪g = ∑ g i = 3,39 KN / S 2‬‬

‫● ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ‬

‫‪p = 2.0,552 = 0, 61 KN / S 2‬‬

‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﻜﻠﻴﺔ‬

‫‪w = 3,39 + 0, 61 = 4 KN / S 2‬‬

‫ﲪﻮﻻﺕ ﺍﻻﺳﺘﺜﻤﺎﺭ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ ﺍﻟﻮﺍﺣﺪ‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﻜﻠﻴﺔ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ‬

‫‪3,39‬‬ ‫‪=11, 21 KN / m 2‬‬ ‫‪2‬‬ ‫‪0,55‬‬

‫=‪G‬‬

‫‪P = 2 KN / m 2‬‬ ‫‪W =11, 21 + 2 =13, 21 KN / m 2‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪42‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬

‫ﲪﻮﻻﺕ ﺍﻻﺳﺘﺜﻤﺎﺭ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﻟﻄﻮﱄ ﻣﻦ ﺍﻟﻌﺼﺐ‬ ‫‪ -‬ﲪﻮﻻﺕ ﺍﻻﺳﺘﺜﻤﺎﺭ ﺍﻟﺪﺍﺋﻤﺔ ﻋﻠﻰ ﺍﻟﻌﺼﺐ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻄﻮﻳﻞ‬

‫‪g1 = α 1 . G . S‬‬

‫‪ -‬ﲪﻮﻻﺕ ﺍﻻﺳﺘﺜﻤﺎﺭ ﺍﻹﺿﺎﻓﻴﺔ ﻋﻠﻰ ﺍﻟﻌﺼﺐ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻄﻮﻳﻞ‬

‫‪p1 = α 1 . P . S‬‬

‫‪ -‬ﲪﻮﻻﺕ ﺍﻻﺳﺘﺜﻤﺎﺭ ﺍﻟﺪﺍﺋﻤﺔ ﻋﻠﻰ ﺍﻟﻌﺼﺐ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻘﺼﲑ‬

‫‪g 2 =α 2 .G . S‬‬

‫‪ -‬ﲪﻮﻻﺕ ﺍﻻﺳﺘﺜﻤﺎﺭ ﺍﻹﺿﺎﻓﻴﺔ ﻋﻠﻰ ﺍﻟﻌﺼﺐ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻘﺼﲑ‬

‫‪p2 = α 2 . P . S‬‬

‫ﺍﻟﺒﻼﻃﺔ ‪S1‬‬ ‫ﻧﺴﺒﺔ ﺍﻻﺳﺘﻄﺎﻟﺔ‬ ‫ ﲪﻮﻻﺕ ﺍﻻﺳﺘﺜﻤﺎﺭ ﺍﻟﺪﺍﺋﻤﺔ ﻋﻠﻰ ﺍﻟﻌﺼﺐ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻄﻮﻳﻞ‬‫ ﲪﻮﻻﺕ ﺍﻻﺳﺘﺜﻤﺎﺭ ﺍﻹﺿﺎﻓﻴﺔ ﻋﻠﻰ ﺍﻟﻌﺼﺐ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻄﻮﻳﻞ‬‫ ﲪﻮﻻﺕ ﺍﻻﺳﺘﺜﻤﺎﺭ ﺍﻟﺪﺍﺋﻤﺔ ﻋﻠﻰ ﺍﻟﻌﺼﺐ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻘﺼﲑ‬‫‪ -‬ﲪﻮﻻﺕ ﺍﻻﺳﺘﺜﻤﺎﺭ ﺍﻹﺿﺎﻓﻴﺔ ﻋﻠﻰ ﺍﻟﻌﺼﺐ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻘﺼﲑ‬

‫‪8,8‬‬ ‫‪=1,15 ⇒ α1 = 0, 29 ; α 2 = 0, 51‬‬ ‫‪0,87.8,8‬‬

‫= ‪rs 1‬‬

‫' ‪g 1 = 0, 29.11, 21.0,55 =1, 79 KN / m‬‬

‫' ‪p1 = 0, 29.2.0,55 = 0,32 KN / m‬‬ ‫' ‪g 2 = 0,51.11, 21.0,55 = 3,14 KN / m‬‬ ‫' ‪p 2 = 0,51.2.0,55 = 0,56 KN / m‬‬

‫ﺍﻷﲪﺎﻝ ﺍﳌﺼﻌﺪﺓ‬ ‫ﺍﳊﻤﻮﻻﺕ ﺍﳌﺼﻌﺪﺓ ﻋﻠﻰ ﺷﺮﳛﺔ ﻣﺴﺎﺣﺘﻬﺎ ‪S2‬‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ ﺍﳌﺼﻌﺪﺓ ﻋﻠﻰ ﺷﺮﳛﺔ ﻣﺴﺎﺣﺘﻬﺎ ‪S2‬‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ﺍﳌﺼﻌﺪﺓ ﻋﻠﻰ ﺷﺮﳛﺔ ﻣﺴﺎﺣﺘﻬﺎ ‪S2‬‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﻜﻠﻴﺔ ﺍﳌﺼﻌﺪﺓ ﻋﻠﻰ ﺷﺮﳛﺔ ﻣﺴﺎﺣﺘﻬﺎ ‪S2‬‬

‫‪g u =1,5.3,39 = 5, 09 KN / S 2‬‬ ‫‪pu =1,8.0, 61 1,1 KN / S 2‬‬ ‫‪w u = 5, 09 + 1,1 = 6,19 KN / S 2‬‬

‫ﺍﳊﻤﻮﻻﺕ ﺍﳌﺼﻌﺪﺓ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ ﺍﻟﻮﺍﺣﺪ‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ ﺍﳌﺼﻌﺪﺓ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ﺍﳌﺼﻌﺪﺓ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﻜﻠﻴﺔ ﺍﳌﺼﻌﺪﺓ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ‬

‫‪Gu =1,5.11, 21 =16,82 KN / m 2‬‬ ‫‪Pu =1,8.2 = 3, 6 KN / m 2‬‬ ‫‪Wu = 16,82 + 3, 6 = 20, 42 KN / m 2‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪43‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬

‫ﺍﳊﻤﻮﻻﺕ ﺍﳌﺼﻌﺪﺓ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﻟﻄﻮﱄ ﻣﻦ ﺍﻟﻌﺼﺐ‬ ‫‪ -‬ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ ﺍﳌﺼﻌﺪﺓ ﻋﻠﻰ ﺍﻟﻌﺼﺐ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻄﻮﻳﻞ‬

‫‪g u 1 = α1 .Gu .S‬‬

‫‪ -‬ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ﺍﳌﺼﻌﺪﺓ ﻋﻠﻰ ﺍﻟﻌﺼﺐ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻄﻮﻳﻞ‬

‫‪pu 1 = α1 . Pu .S‬‬

‫‪ -‬ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ ﺍﳌﺼﻌﺪﺓ ﻋﻠﻰ ﺍﻟﻌﺼﺐ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻘﺼﲑ‬

‫‪g u 2 = α 2 .Gu .S‬‬

‫‪ -‬ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ﺍﳌﺼﻌﺪﺓ ﻋﻠﻰ ﺍﻟﻌﺼﺐ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻘﺼﲑ‬

‫‪pu 2 = α 2 . Pu .S‬‬

‫ﺍﻟﺒﻼﻃﺔ ‪S1‬‬ ‫‪ -‬ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ ﺍﳌﺼﻌﺪﺓ ﻋﻠﻰ ﺍﻟﻌﺼﺐ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻄﻮﻳﻞ‬

‫' ‪g u 1 = 0, 29.16,82.0,55 = 2, 68 KN / m‬‬

‫‪ -‬ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ﺍﳌﺼﻌﺪﺓ ﻋﻠﻰ ﺍﻟﻌﺼﺐ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻄﻮﻳﻞ‬

‫' ‪pu 1 = 0, 29.3, 6.0,55 = 0,57 KN / m‬‬

‫‪ -‬ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ ﺍﳌﺼﻌﺪﺓ ﻋﻠﻰ ﺍﻟﻌﺼﺐ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻘﺼﲑ‬

‫' ‪g u 2 = 0,51.16,82.0,55 = 4,72 KN / m‬‬

‫‪ -‬ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ﺍﳌﺼﻌﺪﺓ ﻋﻠﻰ ﺍﻟﻌﺼﺐ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻘﺼﲑ‬

‫' ‪p 2 = 0,51.3, 6.0,55 1 KN / m‬‬

‫ﺳﺎﺑﻌﺎﹰ ‪ :‬ﺣﺴﺎﺏ ﺍﳉﻬﻮﺩ ﰲ ﺍﳌﻘﺎﻃﻊ ﺍﳊﺮﺟﺔ ‪ /‬ﻃﺮﻳﻘﺔ ﺍﻟﺸﺮﺍﺋﺢ ‪/‬‬ ‫ﺍﻟﺘﺤﻘﻖ ﻣﻦ ﻟﺰﻭﻡ ﺍﻟﺘﺤﻤﻴﻞ ﺍﻟﺸﻄﺮﳒﻲ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻘﺼﲑ )ﺍﳌﺴﺘﻤﺮ(‬ ‫‪gu‬‬ ‫‪3‬‬

‫< ‪∴ pu‬‬

‫‪g u 1 4, 72‬‬ ‫=‬ ‫‪= 1,57‬‬ ‫‪3‬‬ ‫‪3‬‬

‫‪pu 1 = 1 :‬‬

‫ﻻ ﺩﺍﻋﻲ ﻟﺪﺭﺍﺳﺔ ﺍﳉﻬﻮﺩ ﰲ ﺣﺎﻻﺕ ﺍﻟﺘﺤﻤﻴﻞ ﺍﻟﺸﻄﺮﳒﻲ‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪44‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬

‫ﺍﻟﻌﺼﺐ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻘﺼﲑ ﺍﳌﺴﺘﻤﺮ‬ ‫‪Mumax‬‬ ‫'‪pu = 1 KN/m‬‬ ‫'‪gu = 4,72 KN/m‬‬

‫)‪(2‬‬

‫‪c‬‬

‫)‪(1‬‬

‫‪b‬‬

‫‪880‬‬

‫‪a‬‬ ‫‪880‬‬

‫ﻣﻌﺎﻣﻼﺕ ﺣﺴﺎﺏ ﺍﻟﻌﺰﻭﻡ ﺑﺎﻟﻄﺮﻳﻘﺔ ﺍﻟﺘﻘﺮﻳﺒﻴﺔ‬ ‫‪-20‬‬

‫‪-20‬‬

‫‪-9‬‬ ‫‪11‬‬

‫)‪(K‬‬

‫‪11‬‬ ‫‪M= w . L²/k‬‬

‫ﻋﺰﻭﻡ ﺍﻻﻧﻌﻄﺎﻑ ﺍﻷﻋﻈﻤﻴﺔ ﰲ ﺍ‪‬ﺎﺯﺍﺕ‬ ‫‪5,72.8,82‬‬ ‫‪= 40, 27 KN .m / m‬‬ ‫‪11‬‬

‫= ‪M u 1max = M u 2max‬‬

‫ﻋﺰﻭﻡ ﺍﻻﻧﻌﻄﺎﻑ ﺍﻷﺻﻐﺮﻳﺔ ﻓﻮﻕ ﺍﳌﺴﺎﻧﺪ‬ ‫‪5, 72.8,82‬‬ ‫‪M ua min = M uc min = −‬‬ ‫‪= − 18, 46 KN .m / m‬‬ ‫‪24‬‬ ‫‪5, 72.8,82‬‬ ‫‪= − 49, 22 KN .m / m‬‬ ‫‪9‬‬

‫‪M ub min = −‬‬

‫ﺍﻟﻌﺼﺐ ﺑﺎﻻﲡﺎﻩ ﺍﻟﻄﻮﻳﻞ ﺍﳌﺴﺘﻨﺪ ﺍﺳﺘﻨﺎﺩﺍ ﺑﺴﻴﻄﺎ‬ ‫'‪pu = 0.57 KN/m‬‬ ‫'‪gu = 2,68 KN/m‬‬

‫‪e‬‬

‫)‪(3‬‬

‫‪d‬‬

‫‪880‬‬

‫‪Mumax‬‬ ‫ﻋﺰﻡ ﺍﻻﻧﻌﻄﺎﻑ ﺍﻷﻋﻈﻤﻲ ﰲ ﻭﺳﻂ ﺍ‪‬ﺎﺯ‬ ‫ﻋﺰﻭﻡ ﺍﻻﻧﻌﻄﺎﻑ ﺍﻷﺻﻐﺮﻳﺔ ﻓﻮﻕ ﺍﳌﺴﺎﻧﺪ‬

‫‪3, 25.8,82‬‬ ‫‪= 31, 46 KN .m / m‬‬ ‫‪8‬‬ ‫‪3, 25.8,82‬‬ ‫‪= − 10, 49 KN .m / m‬‬ ‫‪24‬‬

‫= ‪M u 3max‬‬

‫‪M ud min = M ue min = −‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪45‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬

‫ﺛﺎﻣﻨﺎﹰ ‪ :‬ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﻘﺎﻃﻊ‬ ‫ﺳﻴﺘﻢ ﺍﻻﻛﺘﻔﺎﺀ ﰲ ﻫﺬﺍ ﺍﳌﺜﺎﻝ ﺑﺘﺼﻤﻴﻢ ﺍﳌﻘﻄﻊ ﺍﳋﺎﺿﻊ ﻷﻛﱪ ﻋﺰﻡ ﺍﻧﻌﻄﺎﻑ ﺑﺸﻜﻞ ﻣﻔﺼﻞ ﻭﺗﻌﻄﻰ ﻧﺘﺎﺋﺞ ﺗﺼﻤﻴﻢ ﺍﳌﻘـﺎﻃﻊ‬ ‫ﺍﻷﺧﺮﻯ ﰲ ﺍﳉﺪﻭﻝ ﺍﻟﻼﺣﻖ ‪ ,‬ﺣﻴﺚ ﻧﺪﺭﺱ ﺍﻟﻌﺼﺐ ﻋﻨﺪ ﺍﻟﻌﺰﻡ ﺍﻟﺴﺎﻟﺐ ﻛﻤﻘﻄﻊ ﻣﺴﺘﻄﻴﻞ ﻋﺮﺿﻪ ‪ bw‬ﻭ ﺍﺭﺗﻔﺎﻋﻪ ‪. d‬‬ ‫ﺍﳌﻌﻄﻴﺎﺕ ‪:‬‬ ‫‪M ub min = − 49, 22 KN .m / m‬‬ ‫‪bw =165 mm : d = 320 mm‬‬ ‫‪fc' =18 Mpa : f y = 360 MPa‬‬

‫ﺣﺴﺎﺏ ﺍﻟﻌﻮﺍﻣﻞ ﺍﻟﻼﺑﻌﺪﻳﺔ‬ ‫‪49, 22.106‬‬ ‫‪= 0, 212‬‬ ‫‪0,9.0,85.18.165.3202‬‬

‫= ‪Ao‬‬

‫‪α =1 − 1 − 2.0,34 = 0, 24‬‬ ‫‪0, 24‬‬ ‫‪γ 0 =1 −‬‬ ‫‪= 0,88‬‬ ‫‪2‬‬

‫ﺣﺴﺎﺏ ﻣﻘﻄﻊ ﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺮﺋﻴﺴﻲ‬

‫‪49, 22.106‬‬ ‫= ‪As‬‬ ‫‪= 540 mm 2‬‬ ‫‪0,9.0,88.320.360‬‬

‫ﳔﺘﺎﺭ‬

‫‪3T 16 / m ⇒ 603 mm 2‬‬

‫ﻧﺘﺤﻘﻖ ﻣﻦ ﻣﻘﻄﻊ ﺍﻟﺘﺴﻠﻴﺢ ﲟﻘﺎﺭﻧﺘﻪ ﻣﻊ ﻣﻘﻄﻌﻲ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻷﺻﻐﺮﻱ ﻭﺍﻷﻋﻈﻤﻲ‬ ‫‪0,9‬‬ ‫‪.165.320 = 132 mm 2‬‬ ‫‪360‬‬ ‫‪455‬‬ ‫‪.18‬‬ ‫‪As max = 0,5‬‬ ‫‪.‬‬ ‫‪.165.320 = 607 mm 2‬‬ ‫‪630 + 360 360‬‬ ‫= ‪As min‬‬

‫‪As min < As < As max o.k‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪46‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬

‫ﻣﺴﺎﺣﺔ ﺍﻟﺘﺴﻠﻴﺢ‬

‫ﻋﺰﻡ ﺍﻻﻧﻌﻄﺎﻑ‬

‫)‪As (mm2‬‬

‫)‪Mu (KN.m‬‬

‫‪186‬‬

‫‪18,46‬‬

‫)‪(a‬‬

‫‪400‬‬

‫‪40,27‬‬

‫)‪(1‬‬

‫‪540‬‬

‫‪49.22‬‬

‫)‪(b‬‬

‫‪400‬‬

‫‪40,27‬‬

‫)‪(2‬‬

‫‪186‬‬

‫‪18,46‬‬

‫)‪(c‬‬

‫‪132‬‬

‫‪10,49‬‬

‫)‪(d‬‬

‫‪310‬‬

‫‪31,46‬‬

‫)‪(3‬‬

‫‪132‬‬

‫‪10,49‬‬

‫)‪(e‬‬

‫ﺍﳌﻄﻠﻮﺑﺔ‬

‫ﺍﳌﺼﻌﺪ‬

‫ﺍﳌﻘﻄﻊ‬

‫ﺍﳌﺪﺭﻭﺱ‬

‫ﺗﺎﺳﻌﺎﹰ ‪ :‬ﻧﻘﻞ ﺃﲪﺎﻝ ﺍﻟﺒﻼﻃﺎﺕ ﺇﱃ ﺍﳉﻮﺍﺋﺰ‬ ‫ﻣﺜﺎﻝ ‪ :‬ﺍﳉﺎﺋﺰ‬

‫‪B1‬‬

‫ﳜﻀﻊ ﺇﱃ ﺃﲪﺎﻝ ﻣﺜﻠﺜﻴﺔ‬ ‫‪B2-2‬‬

‫‪B‬‬

‫‪B2-1‬‬

‫‪B5‬‬

‫‪B4B4‬‬

‫‪B3‬‬

‫‪880‬‬

‫‪B1-2‬‬

‫‪A‬‬

‫‪B1-1‬‬

‫‪880‬‬

‫‪880‬‬ ‫‪1760‬‬

‫‪3‬‬

‫‪2‬‬

‫‪1‬‬

‫ﳝﻜﻦ ﲢﻮﻳﻠﻬﺎ ﺇﱃ ﺃﲪﺎﻝ ﻣﻜﺎﻓﺌﺔ ﳊﺴﺎﺏ ﺍﻟﻌﺰﻡ ﺍﻟﺴﺎﻟﺐ ﻋﻠﻰ ﺍﳌﺴﻨﺪ ﺍﻟﻮﺳﻄﻲ ﻟﻠﺠﺎﺋﺰ ﺑﺎﻟﻌﻼﻗﺔ ‪:‬‬ ‫‪Lx‬‬ ‫‪8,8‬‬ ‫‪= 0,625.20, 42.‬‬ ‫‪= 56,16 KN / m‬‬ ‫‪2‬‬ ‫‪2‬‬

‫‪w ue 3 = λ .w u .‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪47‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬

‫'‪Wue3 = 56,16 KN/m‬‬

‫ﻋﺰﻡ ﺍﻻﻧﻌﻄﺎﻑ ﻋﻨﺪ ﺍﳌﺴﻨﺪ ﺍﻟﻮﺳﻄﻲ‬ ‫‪w ue 3 . L2‬‬ ‫‪56,16.8,82‬‬ ‫‪=−‬‬ ‫‪=−‬‬ ‫‪= − 543,6 KN .m / m‬‬ ‫‪8‬‬ ‫‪8‬‬

‫‪M ub‬‬

‫ﺍﳊﻤﻮﻟﺔ ﺍﳌﻜﺎﻓﺌﺔ ﳊﻤﻮﻟﺔ ﻣﺜﻠﺜﻴﺔ ﳊﺴﺎﺏ ﻋﺰﻡ ﺍﻻﻧﻌﻄﺎﻑ ﺍﳌﻮﺟﺐ ﰲ ﻭﺳﻂ ﳎﺎﺯ ﺍﳉﺎﺋﺰ ﺍﻟﺒﺴﻴﻂ‬

‫‪Lx‬‬ ‫‪8,8‬‬ ‫‪= 0, 667.20, 42.‬‬ ‫‪= 59,93 KN / m‬‬ ‫‪2‬‬ ‫‪2‬‬

‫‪543,6 KN.m‬‬

‫‪543,6 KN.m‬‬

‫‪543,6 KN.m‬‬

‫‪543,6 KN.m‬‬

‫'‪Wue1 = 59,93 KN/m‬‬

‫‪w ue 1 = α .w u .‬‬

‫'‪Wue1 =59,93 KN/m‬‬

‫ﳐﻄﻂ ﻋﺰﻡ ﺍﻧﻌﻄﺎﻑ ﺍﳉﺎﺋﺰ ﺍﻟﻮﺳﻄﻲ‬ ‫‪543,6 KN.m‬‬

‫‪340 KN.m‬‬

‫‪340 KN.m‬‬

‫ﻋﺎﺷﺮﺍﹰ ‪ :‬ﺗﻔﺼﻴﻼﺕ ﺇﻧﺸﺎﺋﻴﺔ‬ ‫ﰎ ﺇﻋﺪﺍﺩ ﺗﻔﺼﻴﻼﺕ ﺇﻧﺸﺎﺋﻴﺔ ﺗﻨﻔﻴﺬﻳﺔ ﻟﺘﺴﻠﻴﺢ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺑﺎﲡﺎﻫﲔ ﺍﺳﺘﻨﺎﺩﺍﹰ ﳌﻌﻄﻴﺎﺕ ﺍﻟﻜﻮﺩ ﺍﻟﻌﺮﰊ ﺍﻟﺴﻮﺭﻱ‬ ‫ﻟﺘﺼﻤﻴﻢ ﻭﺗﻨﻔﻴﺬ ﺍﳌﻨﺸﺂﺕ ﺑﺎﳋﺮﺳﺎﻧﺔ ﺍﳌﺴﻠﺤﺔ ﺍﳌﻠﺤﻖ ﺭﻗﻢ ‪ : 3‬ﺍﻟﺘﻔﺎﺻﻴﻞ ﻭﺍﻟﺮﺳﻮﻣﺎﺕ ﻟﻌﺎﻡ ‪. 2006‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪48‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬ ‫‪B2-2‬‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﻔﺮﻏﺔ ﺫﺍﺕ ﺍﻷﻋﺼﺎﺏ ﺑﺎﲡﺎﻫﲔ‬

‫‪B‬‬

‫‪B2-1‬‬

‫‪15‬‬ ‫‪8‬‬

‫‪B5‬‬

‫‪R2-2‬‬

‫‪B4‬‬

‫‪R2-1‬‬

‫‪B3‬‬

‫‪880‬‬

‫‪R1‬‬

‫‪35‬‬ ‫‪27‬‬

‫‪R1‬‬

‫‪18‬‬ ‫‪B1-2‬‬

‫‪A‬‬

‫‪B1-1‬‬

‫‪880‬‬

‫‪sec:a-a‬‬ ‫‪Scale 1/10‬‬

‫ﻣﻘﻄــﻊ ﻋﺮﺿــﻲ ﰲ ﺍﻟﻌﺼــﺐ ‪R2‬‬

‫‪880‬‬ ‫‪1760‬‬

‫‪3‬‬

‫‪1‬‬

‫‪2‬‬ ‫ﻣﺴﻘﻂ ﻛﻮﻓــﺮﺍﺝ ﺍﻟﺒﻼﻃــﺎﺕ‬ ‫‪Scale 1/100‬‬

‫‪205‬‬

‫‪205‬‬

‫‪R2-2‬‬

‫‪205‬‬

‫‪205‬‬

‫‪R2-1‬‬

‫‪50‬‬

‫‪50‬‬

‫‪35‬‬ ‫‪75‬‬

‫ﺗﻔﺼـــﻴﻼﺕ ﺗﺴـــﻠﻴﺢ‬ ‫ﺍﻟﺒﻼﻃــﺎﺕ ﺍﳌﻔﺮﻏــﺔ‬ ‫ﺫﺍﺕ ﺍﻷﻋﺼــﺎﺏ ﺑﺎﲡــﺎﻫﲔ‬

‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ ‪B5‬‬ ‫ـﲔ‬ ‫ـﲑ ﻣﺒـ‬ ‫ﻏـ‬ ‫‪30‬‬ ‫‪15‬‬

‫‪1? 8/15‬‬

‫‪1? 8/20‬‬

‫‪1? 8/15‬‬

‫‪B4‬‬

‫‪850‬‬

‫‪40‬‬

‫‪65‬‬ ‫‪65‬‬ ‫‪1? 8/15‬‬

‫‪30‬‬

‫‪880‬‬

‫‪1? 8/20‬‬ ‫‪850‬‬ ‫‪880‬‬

‫‪1? 8/15‬‬

‫‪B3‬‬ ‫‪30‬‬

‫ﺗﺴــﻠﻴﺢ ﺍﳉــﺎﺋﺰ‬ ‫ـﲑ ﻣﺒــﲔ‬ ‫ﻏـ‬

‫‪15‬‬

‫‪1790‬‬

‫‪ST1‬‬

‫‪2‬‬

‫‪3‬‬

‫‪1‬‬

‫ﻣﻘﻄــﻊ ﻃــﻮﱄ ﰲ ﺍﻟﻌﺼــﺐ ‪R2‬‬ ‫‪Scale 1/50‬‬

‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪49‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺩﺭﺍﺳﺔ ﻭﺗﺼﻤﻴﻢ ﺑﻼﻃﺔ ﺫﺍﺕ ﺟﻮﺍﺋﺰ ﻣﺘﺼﺎﻟﺒﺔ‬ ‫ﻳﺮﺍﺩ ﺗﺼﻤﻴﻢ ﺑﻼﻃﺔ ﺳﻘﻒ ﻗﺎﻋﺔ ﻣﺘﻌﺪﺩﺓ ﺍﻷﻏﺮﺍﺽ ﺃﺑﻌﺎﺩﻫﺎ ﰲ ﺍﳌﺴﻘﻂ ﺍﻷﻓﻘﻲ ‪ 1200 x 1260‬ﻭﺫﻟﻚ ﺑﺎﻋﺘﺒﺎﺭ ﺑﻼﻃﺔ‬ ‫ﺍﻟﺴﻘﻒ ﺫﺍﺕ ﺟﻮﺍﺋﺰ ﻣﺘﺼﺎﻟﺒﺔ ‪.‬‬ ‫‪C‬‬

‫‪B‬‬

‫‪A‬‬

‫‪3‬‬

‫‪2‬‬

‫‪1‬‬

‫ﺃﻭﻻﹰ ‪ :‬ﺧﻮﺍﺹ ﻣﻮﺍﺩ ﺍﻹﻧﺸﺎﺀ‬ ‫ﺍﻟﺒﻴﺘﻮﻥ ﻋﻴﺎﺭ ‪ 350 kg/m3‬ﻛﻎ ﺍﲰﻨﺖ ‪ /‬ﻣﺘﺮ ﺍﳌﻜﻌﺐ ﻭﻣﻘﺎﻭﻣﺘﻪ ﺍﳌﻤﻴﺰﺓ ﺍﻷﺳﻄﻮﺍﻧﻴﺔ ‪ 180 kg/cm 2‬ﻋﻠﻰ ﻋﻤﺮ‬ ‫‪ 28‬ﻳﻮﻡ ‪.‬‬ ‫•‬

‫ﻓﻮﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ ﺍﻟﺮﺋﻴﺴﻲ ﻣﻦ ﺍﻟﻨﻮﻉ ﺍﶈﻠﺰﻥ ﻋﺎﱄ ﺍﳌﻘﺎﻭﻣﺔ ﺇﺟﻬﺎﺩ ﺧﻀﻮﻋﻪ ﻻ ﻳﻘﻞ ﻋﻦ ‪. 4000 kg/cm2‬‬

‫•‬

‫ﻓﻮﻻﺫ ﺗﺴﻠﻴﺢ ﺍﻷﺳﺎﻭﺭ ﻣﻦ ﺍﻟﻨﻮﻉ ﺍﻷﻣﻠﺲ ﺍﻟﻄﺮﻱ ﺇﺟﻬﺎﺩ ﺧﻀﻮﻋﻪ ﻻ ﻳﻘﻞ ﻋﻦ ‪. 2400 kg/cm2‬‬

‫ﻋﻨﺪ ﺍﻟﺘﺼﻤﻴﻢ ﻳﺘﻮﺟﺐ ﲣﻔﻴﺾ ﺇﺟﻬﺎﺩ ﺧﻀﻮﻉ ﺍﻟﻔﻮﻻﺫ ﺇﱃ ‪. 3600 kg/cm 2‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪51‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺛﺎﻧﻴﺎﹰ ‪ :‬ﺍﻗﺘﺮﺍﺡ ﻧﻮﻉ ﺍﻟﺒﻼﻃﺎﺕ ﻭﺃﺳﻠﻮﺏ ﻋﻤﻠﻬﺎ‬ ‫ﻳﻘﺘﺮﺡ ﺩﺭﺍﺳﺔ ﺑﻼﻃﺔ ﺍﻟﺴﻘﻒ ﺑﺎﻋﺘﺒﺎﺭﻫﺎ ﺑﻼﻃﺔ ﺫﺍﺕ ﺟﻮﺍﺋﺰ ﻣﺘﺼﺎﻟﺒﺔ ‪.‬‬ ‫ﺛﺎﻟﺜﺎﹰ ‪ :‬ﺩﺭﺍﺳﺔ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ‬ ‫ﻧﺴﺒﺔ ﺍﺳﺘﻄﺎﻟﺔ ﺍﻟﺒﻼﻃﺎﺕ‬

‫‪0.87 .1,8‬‬ ‫‪= 1,37‬‬ ‫‪0,76 .1,5‬‬ ‫‪0.76 .1,8‬‬ ‫‪=1,2‬‬ ‫‪0,76 .1,5‬‬

‫= ‪rs 2‬‬

‫= ‪rs 4‬‬

‫‪:‬‬

‫‪:‬‬

‫‪0.87 .1,8‬‬ ‫‪= 1,2‬‬ ‫‪0,87 .1,5‬‬

‫= ‪r s1‬‬

‫‪0.76 .1,8‬‬ ‫‪= 1,05‬‬ ‫‪0,87 .1,5‬‬

‫= ‪rs 3‬‬

‫ﲨﻴﻊ ﺍﻟﺒﻼﻃﺎﺕ ﻋﺎﻣﻠﺔ ﺑﺎﲡﺎﻫﲔ ‪.‬‬

‫‪S2‬‬

‫‪S1‬‬

‫‪r2=1,37‬‬

‫‪r1=1,2‬‬

‫‪S4‬‬

‫‪S3‬‬

‫‪r4=1,2‬‬

‫‪r3=1,05‬‬

‫ﺍﻟﺴﻤﺎﻛﺔ ﺍﻟﺪﻧﻴﺎ ﲢﺴﺐ ﻭﻓﻖ ﺍﻟﺒﻼﻃﺔ ‪S1‬‬

‫) ‪1,76 . ( 180 + 150‬‬ ‫‪= 4,04 cm‬‬ ‫‪140‬‬

‫= ‪tmin‬‬

‫ﻧﻌﺘﻤﺪ ﲰﻚ ﺍﻟﺒﻼﻃﺎﺕ ‪8 cm‬‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪52‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬

‫ﳓﺪﺩ ﺍﻟﺴﻤﻚ ﺍﻷﺩﱏ ﻟﻠﺠﻮﺍﺋﺰ‬ ‫‪L1 + L2 1200 + 1260‬‬ ‫=‬ ‫‪= 1230 cm‬‬ ‫‪2‬‬ ‫‪2‬‬ ‫‪1230‬‬ ‫= ‪t min‬‬ ‫‪= 61, 5 cm‬‬ ‫‪20‬‬ ‫=‪L‬‬

‫ﻧﻌﺘﻤﺪ ﺍﻻﺭﺗﻔﺎﻉ ﺍﻟﻜﻠﻲ ﻟﻠﺠﻮﺍﺋﺰ ﻣﻊ ﺍﻟﺒﻼﻃﺎﺕ ‪70 cm‬‬ ‫ﺣﺴﺎﺏ ﺍﳊﻤﻮﻻﺕ ﺍﳌﺆﺛﺮﺓ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ ﺍﻟﻮﺍﺣﺪ ﻣﻦ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ‬ ‫‪ -‬ﻭﺯﻥ ﺍﻟﺒﻼﻃﺎﺕ‬

‫‪g1 = t . γ c‬‬ ‫‪g 1 = 0,08 . 25 = 2 KN / m 2‬‬

‫ ﻭﺯﻥ ﻃﺒﻘﺔ ﺍﻟﺘﻐﻄﻴﺔ‬‫‪ -‬ﺍﳊﻤﻞ ﺍﳌﻜﺎﻓﺊ ﻟﻠﺠﺪﺭﺍﻥ ﻭﺍﻟﻘﻮﺍﻃﻊ‬

‫‪g 2 = (2 → 3) KN / m 2‬‬ ‫‪g 2 = 3 KN / m2‬‬ ‫‪1,5 .Wp‬‬ ‫= ‪g3‬‬ ‫) ‪( L1 . L2‬‬ ‫‪1,5 . 350‬‬ ‫= ‪g3‬‬ ‫‪= 3,5 KN / m 2‬‬ ‫) ‪(12 .12,6‬‬

‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ‬

‫‪g = ∑ gi‬‬ ‫‪2‬‬

‫‪g = 8,5 KN / m‬‬

‫● ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ‬

‫‪p‬‬ ‫‪2‬‬

‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﻜﻠﻴﺔ‬

‫‪p = 5 KN / m‬‬ ‫‪w =g + p‬‬

‫‪w = 8,5 + 5 = 13,5 KN / m 2‬‬

‫ﺍﳊﻤﻮﻻﺕ ﺍﳌﺼﻌﺪﺓ ﺍﳌﺆﺛﺮﺓ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ ﻣﻦ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ ﺍﳌﺼﻌﺪﺓ‬

‫‪g u =1,5 . g‬‬ ‫‪2‬‬

‫● ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ﺍﳌﺼﻌﺪﺓ‬

‫‪g u =1,5 .8,5 =12,75 KN / m‬‬ ‫‪p u = 1,8 . p‬‬ ‫‪p u =1,8 . 5 = 9 KN / m 2‬‬

‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﻜﻠﻴﺔ ﺍﳌﺼﻌﺪﺓ‬

‫‪wu = g u + p u‬‬ ‫‪wu =12,75 + 9 = 21,75 KN / m2‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪53‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﲪﻮﻻﺕ ﺷﺮﺍﺋﺢ ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺼﻤﺘﺔ‬ ‫ﲪﻮﻟﺔ ﺍﻟﺸﺮﳛﺔ ﺍﳌﺘﺮﻳﺔ‬ ‫ﺑﺎﳌﺘﺮ ﺍﻟﻄﻮﱄ ’‪KN/m‬‬ ‫‪pu‬‬

‫‪gu‬‬

‫ﲪﻮﻟﺔ ﺍﳌﺘﺮ‬ ‫‪pu‬‬

‫ﺍﳌﺮﺑﻊ ‪KN/m2‬‬

‫ﻋﻮﺍﻣﻞ ﺗﻮﺯﻳﻊ ﺍﳊﻤﻮﻟﺔ‬

‫‪gu‬‬

‫‪2.952‬‬

‫‪4.182‬‬

‫‪0,328‬‬

‫= ‪α1‬‬

‫‪6.048‬‬

‫‪8.568‬‬

‫‪0,672‬‬

‫= ‪α2‬‬

‫‪1.98‬‬

‫‪2.805‬‬

‫‪0,22‬‬

‫= ‪α1‬‬

‫‪7.02‬‬

‫‪9.945‬‬

‫‪0,78‬‬

‫= ‪α2‬‬

‫‪4.05‬‬

‫‪5.738‬‬

‫‪0,45‬‬

‫= ‪α1‬‬

‫‪4.95‬‬

‫‪7.013‬‬

‫‪0,55‬‬

‫= ‪α2‬‬

‫‪2.952‬‬

‫‪4.182‬‬

‫‪0,328‬‬

‫= ‪α1‬‬

‫‪6.048‬‬

‫‪8.568‬‬

‫‪0,672‬‬

‫= ‪α2‬‬

‫‪9‬‬

‫‪12.75‬‬

‫ﻧﺴﺒﺔ‬ ‫ﺍﻻﺳﺘﻄﺎﻟﺔ ‪r‬‬

‫ﺍﻟﺒﻼﻃﺔ‬

‫‪1,2‬‬

‫‪S1‬‬

‫‪1,37‬‬

‫‪S2‬‬

‫‪1,05‬‬

‫‪S3‬‬

‫‪1,2‬‬

‫‪S4‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪54‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬

‫ﺣﺴﺎﺏ ﺍﳊﻤﻮﻻﺕ ﺍﳌﺆﺛﺮﺓ ﻋﻠﻰ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ ﺍﻟﻮﺍﺣﺪ ﻣﻦ ﺍﻟﺒﻼﻃﺔ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬ ‫‪ -‬ﻭﺯﻥ‬

‫‪1‬‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﻭﺍﳉﻮﺍﺋﺰ ﰲ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ ‪.[( S1 . S2 ) . h − (S1 − b1 ) . ( S2 − b2 ) . (h − t )]. γ c‬‬ ‫) ‪(S1 . S2‬‬ ‫‪1‬‬ ‫= ‪g1‬‬ ‫‪.[(1,8 .1,5 ) . 0,7 − (1,8 − 0,3 ) . (1,5 − 0,3 ) . (0,7 − 0,08 )]. 25 =16,53KN / m 2‬‬ ‫)‪(1,8 .1,5‬‬

‫ ﻭﺯﻥ ﻃﺒﻘﺔ ﺍﻟﺘﻐﻄﻴﺔ‬‫‪ -‬ﺍﳊﻤﻞ ﺍﳌﻜﺎﻓﺊ ﻟﻠﺠﺪﺭﺍﻥ ﻭﺍﻟﻘﻮﺍﻃﻊ‬

‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ‬

‫= ‪g1‬‬

‫‪g 2 = (2 → 3) KN / m 2‬‬ ‫‪g 2 = 3 KN / m2‬‬ ‫‪1,5 .Wp‬‬ ‫= ‪g3‬‬ ‫) ‪( L1 . L2‬‬ ‫‪1,5 . 350‬‬ ‫= ‪g3‬‬ ‫‪= 3,5 KN / m 2‬‬ ‫) ‪(12 .12,6‬‬ ‫‪g = ∑ gi‬‬ ‫‪g = 23 KN / m2‬‬

‫● ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ‬

‫‪p‬‬

‫‪p = 5 KN / m2‬‬

‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﻜﻠﻴﺔ‬

‫‪w =g + p‬‬ ‫‪w = 23 + 5 = 28 KN / m 2‬‬

‫ﺍﳊﻤﻮﻻﺕ ﺍﳌﺼﻌﺪﺓ‬ ‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﺪﺍﺋﻤﺔ ﺍﳌﺼﻌﺪﺓ‬

‫‪g u =1,5 . g‬‬ ‫‪g u =1,5 . 23 = 34,5 KN / m 2‬‬

‫● ﺍﳊﻤﻮﻻﺕ ﺍﻹﺿﺎﻓﻴﺔ ﺍﳌﺼﻌﺪﺓ‬

‫‪p u = 1,8 . p‬‬ ‫‪p u =1,8 . 5 = 9 KN / m 2‬‬

‫● ﺍﳊﻤﻮﻻﺕ ﺍﻟﻜﻠﻴﺔ ﺍﳌﺼﻌﺪﺓ‬

‫‪wu = g u + p u‬‬ ‫‪wu = 34,5 + 9 = 43,5 KN / m 2‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪55‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﲪﻮﻻﺕ ﻭﻋﺰﻭﻡ ﺍﻧﻌﻄﺎﻑ ﺍﻟﺸﺮﺍﺋﺢ ﺍﻟﻮﺳﻄﻴﺔ ﰲ ﺍﻟﺒﻼﻃﺔ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬ ‫ﻋﺰﻡ ﺍﻧﻌﻄﺎﻑ‬ ‫ﺍﻟﺸﺮﳛﺔ‬ ‫ﺍﻟﻮﺳﻄﻴﺔ‬

‫ﲪﻮﻟﺔ ﺍﻟﺸﺮﳛﺔ ﺍﳌﺘﺮﻳﺔ ﺑﺎﳌﺘﺮ ﺍﻟﻄﻮﱄ ﲪﻮﻟﺔ ﺍﳌﺘﺮ ﺍﳌﺮﺑﻊ‬

‫ﻋﻮﺍﻣﻞ ﺗﻮﺯﻳﻊ‬ ‫ﺍﳊﻤﻮﻟﺔ‬

‫‪KN/m2‬‬

‫’‪KN/m‬‬

‫’‪KN.m/m‬‬ ‫‪Mu‬‬

‫‪wu‬‬

‫‪pu‬‬

‫‪gu‬‬

‫‪388,5‬‬

‫‪19.575‬‬

‫‪4.05‬‬

‫‪15.525‬‬

‫‪430,7‬‬

‫‪23.925‬‬

‫‪4.95‬‬

‫‪18.975‬‬

‫‪pu‬‬

‫‪gu‬‬

‫‪9‬‬

‫‪34,5‬‬

‫‪0,45‬‬

‫= ‪α1‬‬

‫‪0,55‬‬

‫= ‪α2‬‬

‫ﻧﺴﺒﺔ‬ ‫ﺍﻻﺳﺘﻄﺎﻟﺔ‬ ‫‪r‬‬

‫‪1,05‬‬

‫ﺗﺮﻗﻴﻢ ﺍﳉﻮﺍﺋﺰ ﻟﺘﺤﺪﻳﺪ ﻧﺴﺒﺔ ﻋﺰﻭﻡ ﺍﳉﻮﺍﺋﺰ ﺇﱃ ﻋﺰﻡ ﺍﳉﺎﺋﺰ ﺍﻟﻮﺳﻄﻲ‬

‫‪1‬‬ ‫‪2‬‬ ‫‪3‬‬ ‫‪3‬‬ ‫‪2‬‬ ‫‪1‬‬

‫‪1‬‬

‫‪2‬‬

‫‪3‬‬

‫‪4‬‬

‫‪3‬‬

‫‪2‬‬

‫‪1‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪56‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬

‫ﻋﺰﻭﻡ ﺍﻧﻌﻄﺎﻑ ﻭﺗﺴﻠﻴﺢ ﺟﻮﺍﺋﺰ ﺍﻟﺒﻼﻃﺔ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬ ‫ﻣﻘﻄﻊ‬ ‫ﺗﺴﻠﻴﺢ‬ ‫ﺍﳉﺎﺋﺰ‬

‫ﻋﺰﻡ‬ ‫ﺍﻧﻌﻄﺎﻑ‬ ‫ﺍﳉﺎﺋﺰ‬

‫ﻋﺰﻡ ﺍﻧﻌﻄﺎﻑ‬ ‫ﺍﳉﺎﺋﺰ‬ ‫ﺍﻟﻮﺳﻄﻲ‬

‫) ‪As (cm2‬‬

‫‪KN.m‬‬

‫‪KN.m‬‬

‫‪15,75‬‬

‫‪226.11‬‬

‫‪23.62‬‬

‫‪414.92‬‬

‫‪27.43‬‬

‫‪540.79‬‬

‫ﻋﺮﺽ‬ ‫ﺍﻟﺸﺮﳛﺔ‬ ‫)‪(m‬‬

‫ﻋﺰﻡ ﺍﻧﻌﻄﺎﻑ ﻧﺴﺒﺔ ﻋﺰﻡ‬ ‫ﺍﻟﺸﺮﳛﺔ‬ ‫ﺍﳉﺎﺋﺰ ﺇﱃ‬ ‫ﺍﻟﻮﺳﻄﻴﺔ‬ ‫ﻋﺰﻡ ﺍﳉﺎﺋﺰ‬ ‫’‪ KN.m/m‬ﺍﻟﻮﺳﻄﻲ‬

‫ﺍﳉﺎﺋﺰ‬

‫‪0,388‬‬

‫‪1‬‬

‫‪0,712‬‬

‫‪2‬‬

‫‪0,928‬‬

‫‪3‬‬

‫‪29.64‬‬

‫‪582.75‬‬

‫‪1,00‬‬

‫‪4‬‬

‫‪22.71‬‬

‫‪341.11‬‬

‫‪0,440‬‬

‫‪1‬‬

‫‪31.09‬‬

‫‪610.13‬‬

‫‪0,787‬‬

‫‪2‬‬

‫‪38.96‬‬

‫‪756.65‬‬

‫‪0,976‬‬

‫‪3‬‬

‫‪582.75‬‬

‫‪775.26‬‬

‫‪1,5‬‬

‫‪1,8‬‬

‫‪388,5‬‬

‫‪430,7‬‬

‫ﺟﻮﺍﺋﺰ‬ ‫ﺍﻻﲡﺎﻩ ‪L1‬‬ ‫ﺟﻮﺍﺋﺰ‬ ‫ﺍﻻﲡﺎﻩ ‪L2‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪57‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ )ﻋﻤﻠﻲ(‬ ‫ﺍﻟﺒﻼﻃﺎﺕ ﺫﺍﺕ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺘﺼﺎﻟﺒﺔ‬

‫ﺗﺴــﻠﻴﺢ ﺍﻟﺒﻼﻃــﺔ‬ ‫ـﲔ‬ ‫ـﲑ ﻣﺒـ‬ ‫ﻏـ‬

‫‪8‬‬ ‫‪310‬‬

‫‪310‬‬

‫‪70‬‬ ‫‪62‬‬

‫‪B4‬‬

‫‪70‬‬

‫‪70‬‬

‫‪a‬‬

‫‪a‬‬

‫‪90‬‬ ‫‪2? 12/20 ,n=62‬‬ ‫‪30‬‬ ‫‪15‬‬

‫‪1230‬‬ ‫‪630‬‬

‫‪30‬‬ ‫‪630‬‬

‫‪15‬‬

‫‪1290‬‬

‫‪30‬‬ ‫‪C‬‬

‫‪B‬‬

‫ﻣﻘﻄــﻊ ﻋﺮﺿــﻲ ﰲ ﺍﳉــﺎﺋﺰ‬

‫ـﻢ )‪(4‬‬ ‫ـﺎﺋﺰ ﺭﻗـ‬ ‫ـﻮﱄ ﰲ ﺍﳉـ‬ ‫ـﻊ ﻃـ‬ ‫ﻣﻘﻄـ‬ ‫ـﻮﺭ ﺍﻟﻮﺳـ‬ ‫ـﻰ ﺍﶈـ‬ ‫ﻋﻠـ‬ ‫ـﻄﻲ ‪2‬‬

‫‪Scale 1/10‬‬

‫‪Scale 1/50‬‬

‫‪sec:a-a‬‬

‫‪A‬‬

‫ﺑﻼﻃــﺔ ﺫﺍﺕ ﺍﳉﻮﺍﺋــﺰ ﺍﳌﺘﺼــﺎﻟﺒﺔ‬ ‫ﺗﻔﺼـــﻴﻼﺕ ﺗﺴـــﻠﻴﺢ‬

‫‪ST1‬‬

‫ﺍﳉﺎﺋﺰ ﺭﻗــﻢ ‪4‬‬

‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ‬ ‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪58‬‬


‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬ ‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻋﻤﻠﻲ (‬ ‫ﺍﳌﺮﺍﺟﻊ‬

‫ﺍﳌﺮﺍﺟﻊ‬ ‫‪.1‬‬

‫‪.2‬‬

‫ﺍﻟﻜﻮﺩ ﺍﻟﻌﺮﰊ ﺍﻟﺴﻮﺭﻱ ﻟﺘﺼﻤﻴﻢ ﻭﺗﻨﻔﻴﺬ ﺍﳌﻨﺸﺂﺕ ﺑﺎﳋﺮﺳﺎﻧﺔ ﺍﳌﺴﻠﺤﺔ‬ ‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ‪ ،‬ﺩﻣﺸﻖ ‪. 2004‬‬ ‫ﺍﳌﻠﺤﻖ ﺭﻗﻢ )‪ (1‬ﻟﻠﻜﻮﺩ ﺍﻟﻌﺮﰊ ﺍﻟﺴﻮﺭﻱ ﻟﺘﺼﻤﻴﻢ ﻭﺗﻨﻔﻴﺬ ﺍﳌﻨﺸﺂﺕ ﺑﺎﳋﺮﺳﺎﻧﺔ ﺍﳌﺴﻠﺤﺔ – ﺍﻷﲪﺎﻝ ﻋﻠﻰ ﺍﳌﺒﺎﱐ‬ ‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ‪ ،‬ﺩﻣﺸﻖ ‪. 2006‬‬

‫‪.3‬‬

‫ﺍﳌﻠﺤﻖ ﺭﻗﻢ )‪ (2‬ﻟﻠﻜﻮﺩ ﺍﻟﻌﺮﰊ ﺍﻟﺴﻮﺭﻱ ﻟﺘﺼﻤﻴﻢ ﻭﺗﻨﻔﻴﺬ ﺍﳌﻨﺸﺂﺕ ﺑﺎﳋﺮﺳﺎﻧﺔ ﺍﳌﺴﻠﺤﺔ – ﺗﺼﻤﻴﻢ ﻭﲢﻘﻴﻖ ﺍﳌﺒﺎﱐ‬

‫‪.4‬‬

‫ﺍﳌﻠﺤﻖ ﺭﻗﻢ )‪ (3‬ﻟﻠﻜﻮﺩ ﺍﻟﻌﺮﰊ ﺍﻟﺴﻮﺭﻱ ﻟﺘﺼﻤﻴﻢ ﻭﺗﻨﻔﻴﺬ ﺍﳌﻨﺸـﺂﺕ ﺑﺎﳋﺮﺳـﺎﻧﺔ ﺍﳌﺴـﻠﺤﺔ – ﺍﻟﺘﻔﺎﺻـﻴﻞ‬

‫‪.5‬‬

‫ﺩﻭﺭﺓ ﺗﺪﺭﻳﺒﻴﺔ ﰲ ﳎﺎﻝ ﺍﻷﺑﻨﻴﺔ ﺍﻟﺒﻴﺘﻮﻧﻴﺔ ﺍﳌﺴﻠﺤﺔ ‪ -‬ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﻓﺮﻉ ﲪﺺ‬

‫ﻭﺍﳌﻨﺸﺂﺕ ﳌﻘﺎﻭﻣﺔ ﺍﻟﺰﻻﺯﻝ ‪ ،‬ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ‪ ،‬ﺩﻣﺸﻖ ‪. 2006‬‬ ‫ﻭﺍﻟﺮﺳﻮﻣﺎﺕ ‪ ،‬ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ‪ ،‬ﺩﻣﺸﻖ ‪. 2006‬‬

‫ﺩ‪ .‬ﻣـﺎﻫـﺮ ﻗـﺮﻩ ﻣﻦ ‪ 11/ 30‬ﻭﺣﱴ ‪2008/12/4‬‬

‫ﺑﺮﺍﻣﺞ ﺍﻟﺘﺤﻠﻴﻞ ﻭﺍﻟﺘﺼﻤﻴﻢ ﺍﻹﻧﺸﺎﺋﻲ‬ ‫‪ .1‬ﺑﺮﻧﺎﻣﺞ ﺍﳉﻮﺍﺋﺰ ﺍﳌﺴﺘﻤﺮﺓ ‪JWDBeam‬‬

‫ﻡ‪ .‬ﻋﺒﺪ ﺍﳉﻮﺍﺩ ﺍﳊﺎﺝ ﻳﻮﻧﺲ ﺍﻹﺻﺪﺍﺭ )‪(3.2.2‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬ ‫‪65‬‬


‫ﺍﻟﺒﻼﻃﺎﺕ ﺍﳌﺴﺘﻮﻳﺔ ) ﻋﻤﻠﻲ (‬

‫ﻧﻘﺎﺑﺔ ﺍﳌﻬﻨﺪﺳﲔ ﰲ ﺍﳉﻤﻬﻮﺭﻳﺔ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﺴﻮﺭﻳﺔ ‪ -‬ﳉﻨﺔ ﺍﻟﺘﺪﺭﻳﺐ ﻭﺍﻟﺘﺄﻫﻴﻞ ﺍﳌﺮﻛﺰﻳﺔ‬

‫ﻣﻘﺎﻃﻊ ﺍﻟﺘﺴﻠﻴﺢ‬

‫ﺍﻟﻔﺮﻳﻖ ﺍﻟﻮﻃﲏ ﻟﻠﺘﺄﻫﻴﻞ ﻭﺍﻟﺘﺪﺭﻳﺐ ﻟﻼﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ‬

‫ﺠﺩﻭل ﻤﻘﺎﻁﻊ ﻓﻭﻻﺫ ﺍﻟﺘﺴﻠﻴﺢ‬ ‫وزن‬ ‫م ‪.‬ط‬ ‫)‪(Kg‬‬

‫ﻋﺪد اﻟﻘﻀﺒﺎن‬ ‫‪9‬‬

‫‪8‬‬

‫‪7‬‬

‫‪6‬‬

‫‪4‬‬

‫‪3‬‬

‫‪2‬‬

‫‪0.23‬‬

‫‪1.98 2.26 2.54‬‬

‫‪0.40‬‬

‫‪1.01 1.51 2.01 2.51 3.02 3.52 4.02 4.52‬‬

‫‪1‬‬

‫)‪(mm‬‬

‫‪0.28 0.57 0.85 1.13 1.41‬‬

‫‪6‬‬

‫‪0.5‬‬

‫‪8‬‬

‫‪0.63‬‬

‫‪6.28 7.07‬‬

‫‪0.79 1.57 2.36 3.14 3.93 4.71‬‬

‫‪10‬‬

‫‪0.90‬‬

‫‪1.13 2.26 3.39 4.52 5.65 6.79 7.92 9.05 10.2‬‬

‫‪12‬‬

‫‪1.23‬‬

‫‪9.24 10.8 12.3 13.9‬‬

‫‪1.54 3.08 4.62 6.16‬‬

‫‪14‬‬

‫‪1.61‬‬

‫‪2.01 4.02 6.03 8.04 10.1 12.1 14.1 16.1 18.1‬‬

‫‪16‬‬

‫‪2.04‬‬

‫‪2.54 5.09 7.63 10.2 12.7 15.3 17.8 20.4 22.9‬‬

‫‪18‬‬

‫‪2.51‬‬

‫‪25.1 28.3‬‬

‫‪3.14 6.28 9.42 12.6 15.7 18.8‬‬

‫‪20‬‬

‫‪0.86‬‬

‫‪9.67‬‬

‫‪8.6‬‬

‫‪4.3‬‬

‫‪1.07 2.15 3.22‬‬

‫‪22‬‬

‫‪1.97‬‬

‫‪9.87 12.3 14.8 17.3 19.7 22.2‬‬

‫‪2.47 4.93‬‬

‫‪25‬‬

‫‪29‬‬

‫‪4.84 9.67 14.5 19.3 24.2‬‬

‫‪28‬‬

‫‪48‬‬

‫‪7.99‬‬

‫‪30‬‬

‫‪3.87‬‬ ‫‪6.40‬‬

‫‪5.5‬‬

‫‪22‬‬

‫‪71.9‬‬

‫‪7.7‬‬

‫‪5.37 6.45 7.52‬‬

‫‪33.9 38.7 43.5‬‬ ‫‪64‬‬

‫‪1.7‬‬

‫‪5‬‬

‫اﻟﻘﻄﺮ‬

‫‪56‬‬

‫‪40‬‬

‫‪32‬‬

‫‪7.4‬‬

‫‪24‬‬

‫‪16‬‬

‫ﺩﻭﺭﺓ ﺗﺄﻫﻴﻠﻴﺔ ﰲ ﺍﻟﺪﺭﺍﺳﺎﺕ ﺍﻹﻧﺸﺎﺋﻴﺔ ﻭﻹﻋﺪﺍﺩ ﺍﳌﻬﻨﺪﺳﲔ ﺍﳌﺘﻘﺪﻣﲔ ﺇﱃ ﻣﺮﺗﺒﺔ ﺍﻟﺮﺃﻱ ﺑﺎﻟﺪﺭﺍﺳﺎﺕ ﰲ ﺍﻻﺧﺘﺼﺎﺹ ﺍﻹﻧﺸﺎﺋﻲ ‪2010‬‬ ‫ﺍﻷﺳﺘﺎﺫ ﺍﻟﺪﻛﺘﻮﺭ ﺍﳌﻬﻨﺪﺱ ﻣـﺎﻫـﺮ ﻗـﺮﻩ ‪ -‬ﺃﺳﺘﺎﺫ ﺍﻟﺒﻴﺘﻮﻥ ﺍﳌﺴﻠﺢ ﰲ ﻗﺴﻢ ﺍﳍﻨﺪﺳﺔ ﺍﻹﻧﺸﺎﺋﻴﺔ ‪ -‬ﻛﻠﻴﺔ ﺍﳍﻨﺪﺳﺔ ﺍﳌﺪﻧﻴﺔ ‪ -‬ﺟﺎﻣﻌﺔ ﺍﻟﺒﻌﺚ‬


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