אא
א ١٥٦
١٥٦
א
א
W،،אא،א
א א א אא א א א א
אאא،אאאאאא אאאאא
אWאאאאאא K אא
אאאאאאא
א ،א אא
א א א א א א א ،
א،אאאא
אאאאאאא אאאאא אאא،א
Kאא،א
?אא?? א ?אא
אאאאאאא
Kאאאאאאאא
،א،אאאא Kאאאאא
؛ א א א א
Kא
אאאא
א
אאא
א אא
١
אא
١٥٦
א
אאא
א
אאאWאא Wאא Kאאאאאא אאאא
אאאאאKאא Kאאאאאאא
WאאאWאא Kאאא• א Kאאאאא • Kא • Kא • KאאאאאWאאא Kא٥Wאאא KאאאאאאWאא
-١-
אא
١٥٦
א
אאא
א
אאא W١ J١ Wאא Kאא Kא אאאאא J K
Kאאאאאאאאאא Kא Kאאא Kאאאאאא Wא١ J٢ אEא،א،אFאאאא
אאאאא Kאאא
אאאאאאEאא،אFאא
א א א א אא Kאאא
אEא،אא،אFאאא
Fאאא אאאא
KEאאאFאאEא
KE١ J١Fאא(water/cement ratio)אא -٢-
אא
١٥٦
א
אאא
א
אאא٢٨אאW١ J١ Kא
אא א (w/c ratio)
(MPa)٢٨
٠{٧٠
٢٠
٠{٦٢
٢٥
٠{٥٥
٣٠
٠{٤٨
٣٥
٠{٤٣
٤٠
٠{٣٨
٤٥
Wאאאאא WאאK١ J٢ J١ אאאאא
Kאא WאאK٢ J٢ J١
Wאאא א א א א א א א Wאא א • Kאאאא
א E F א א א א Wא • א Kא
אא אאאא Wא• א Kאאאא
E١ J١Fאא א א ١٣ א
EאHאH אFאאאK ٠{٠٠٤ -٣-
אא
١٥٦
א
אאא
א
אאאאאKאאא
.%٥٠
KאאW١ J١ Mixing timeWאK٣ J٢ J١
Wאאאא א אא Kאאא Kאא אאאאאא
א ٢ J١ Kא
KאK
-٤-
אא
١٥٦
א
אאא
א
אאאW١ J٢ EFא
E٣Fא
١
٠{٨
١{٢٥
١{٥
١{٥
٢{٣
١{٧٥
٣{١
٢
٣{٨
٢{٢٥
٤{٦
٣{٢٥
٧{٦
WאK٣ J١ אאאאא
Kאאא
Wאאא • א • א • א א• א • א• א
-٥-
אא
١٥٦
א
אאא
א
א א א Kא אא
אאאאKאאא
(segregation)Kאא(cohesion)
אאאא אאא
Kאא
א אאא ١ J٢ Kאא
-٦-
אא
١٥٦
א
אאא
א
KאאאאW٢ J١
WאK٤ J١ אאאא
אאא KE٢ J١Fא
٤٠ ٤٢٠אKא Kא٤ J١Kאאא
-٧-
אא
١٥٦
א
אאא
א
KאאאW٣ J١ אאאאWא
א א א א Kא
K٢٢٠אא٣٦٠
-٨-
אא
١٥٦
א
אאא
א
KאW٤ J١ Wאא Kא
E١
Kא
E٢
Kאא
E٣
Kא
E٤
Kאאא
E٥
א א א א אא א
K٧٥א٢٥אKא
א א א א א א אK٠{٩٥٠{٩٠א١٠٠٤٠א
אאK ٢٥ ١٥א א אאאאאאאאא
Kאא
-٩-
אא
١٥٦
א
אאא
א
Kא א،אא
אאKא א
Kאאאאאא
WאK٥ J١ ،אא
א א א Kא אאאאKאאא
Kא
Wאא אאאאאא Kאאאא
Kאאאאאאא אאאא Kאאאאא
אאא אאאא א א Kא אא א
Kא
Kאאא א א E١ J٥ F א
Kא א א א א א
KE١ J٦Fאאא
- ١٠ -
אא
١٥٦
א
אאא
א
EאFאW٥ J١
אאאW٦ J١ Fאא،אאא
KE٨ J١٧ J١
KאאEאFאW٧ J١ - ١١ -
אא
١٥٦
א
אאא
א
KאW٨ J١ Wאאאא א אאאאא
אKE٩ J١KFאאאאאא א אא،אאאא
אאאאא א
אאאאKאא
KE١٠ J١ F א א
Kאאאא
Kא א א ٢ א
אאא אא
Kא ٥٠א Kאא א א א א א Kא א
Kאאא
אא
Kאאאא
- ١٢ -
אא
١٥٦
א
אאא
א
KאאאאאאW٩ J١
KאאאאאאW١٠ J١
- ١٣ -
אא
١٥٦
א
אאא
א
Wא אאאאאאא אא אא
אא Kא
(durability) א א א אאאאא١١ J١ ,Kאא א % ٥ אא K א
Kאאאא ١٢ J١K% ٣٠אא
א (permeability)א % ٣٥ % ٣٠אא Kא
אאא ١٢ J١ ١١ J١אאא
אאאאאא
Kא
א Kא א א W א
Kא
(MPa) ﻣﻘﺎوﻣﺔ اﻟﺨﺮﺳﺎﻧﺔ ﻟﻠﻀﻐﻂ
70 60 50 40 30 20 0
2
4
6
(%) ﻧﺴﺒﺔ اﻟﻔﺮاﻏﺎت
8
10
Kאאאאא אW١١ J١ - ١٤ -
אא
١٥٦
א
אאא
א
10
ﻣﻌﺎﻣﻞ اﻟﻨﻔﺎذﻳﺔ
8
6
4
2
0 0
10
20
30
40
(%) ﻧﺴﺒﺔ اﻟﻔﺮاﻏﺎت داﺧﻞ اﻟﻌﺠﻴﻨﺔ اﻻﺳﻤﻨﺘﻴﺔ
KאאאאW١٢{١ WאאK١ J٦ J١ אאאא
אאא KאאאאאKא WאאK٢ J٦ J١ אKאאא א
KEאאFאאא
אאא אא אא
K
W(vibrators)אא - ١٥ -
אא
١٥٦
א
אאא
א
(internal vibrators)WאאאאאK٣ J٦ J١
KE١٣ J١Fאא אאאאאאא
אאאKHz ٢٠٠ ٧٠אאאKא
KאE١٠{٥אאF
אאאאאאאא אאאאאאא
KE١٤ J١FאאE ١٥٠אF
K٠{٥אאאאאאא אאKאא ٢٠ ١٠אאא
אא אKאא א
K(segregation)אא (over-vibration)א Kאאא
אאאאאW١٣ J١ K
- ١٦ -
אא
١٥٦
א
אאא
א
KאאאאאאW١٤ J١
(external vibrators)WאאאאK٤ J٦ J١
Kאאאאאאאאאאא
Kאאאאאאאאאא אאאא
א אאא Kא אאא א א אא אאאאאא
KHz١٥٠٥٠אאאKא
אאאאאא
אאאאKאאאאKאאא Kאאאאא
(vibrator tables)WאK٥ J٦ J١
(precast concrete) א א א
א אא K
אאKאאאאא אא
KHz١٢٠٢٥אאאKאאאא
- ١٧ -
אא
١٥٦
א
אאא
א
(revibration)Wא
K٦{٦{١
אאא א
KאאאאK%١٥
א(bleeding)אאאא
אאאאאאא א א Kא א
Kא
Kאאאאאא
אאKאאאא
Kאאאא WאK٧ J١
אאKאאא
אאKאא א WאאKאאאא
א א Kאא א א א אאאא אאKE١٥ J١F אא אKאא אאא
K
א (floating)א אאא -
אKE١٧ J١FE١٦{١F
א Kא אא،אא
אאא
Kא
Kאא - ١٨ -
אא
١٥٦
א
אאא
א
אW١٥ J١
KאאW١٦ J١
- ١٩ -
אא
١٥٦
א
אאא
א
KאאW١٧ J١
- ٢٠ -
א
א
א
٢
אא
١٥٦
א
א
א
אWאא Wאא Kאאאאאאאאא
Kאאאאאא WאאאWאא
אאFאאא • KEאאא
Kאאאא• א א • Kאאאאא • KאאאאאWאאא KWאאא KאאאאאאWאא
- ٢١ -
אא
١٥٦
א
א
א
א K١ J٢ א EאאFא
אאאאאאאאK KאאאאE١ J٢Fאא
אאאאאא
אאאאKאא
א Kאא א Kא
א % ٧٥א אא
KE٢ J٢F٢٨א
(MPa) ﻣﻘﺎوﻣﺔ اﻟﺨﺮﺳﺎﻧﺔ ﻟﻠﻀﻐﻂ
50
(ﻣﺪة اﻟﻤﻌﺎﻟﺠﺔ )اﻷﻳﺎم
40
ﻃﻮال اﻟﻤﺪة 7
30
3 0
20 10 0 0
30
60
90
120
150
180
(اﻟﻌﻤﺮ )اﻷﻳﺎم
KאאאW١ J٢
- ٢٢ -
אא
١٥٦
א
א
א
(%) ﻧﺴﺒﺔ ﻣﻘﺎوﻣﺔ اﻟﺨﺮﺳﺎﻧﺔ
100 75 50 25 0
0
3
7
28
(ﻣﺪة اﻟﻤﻌﺎﻟﺠﺔ )اﻷﻳﺎم
٢٨אאWK٢ J٢
Wאאאא אאא אאאאא
K٢{٢
٢L ٠{٥ א אאא א KE٣ J٢Fאא
KאW٣ J٢ - ٢٣ -
אא
١٥٦
א
א
א
Kאאאאאאא
אאאKאאא٤ J٢א Kאאא٢٨אKאאא
(%) ﻧﺴﺒﺔ ﻣﻘﺎوﻣﺔ اﻟﺨﺮﺳﺎﻧﺔ
120 100 80 60 40 10
20
30
40
50
(درﺟﺔ ﺣﺮارة اﻟﻤﻌﺎﻟﺠﺔ )درﺟﺔ ﻣﺌﻮﻳﺔ
K٢٨אאאW٤{٢ KאKאאא Kאא • Kאאא • Wאא٣ J٢ Kאאאא Wא١ J٣ J٢ אאא
אאאKא אאאאאאK Kאאאאא - ٢٤ -
אא
١٥٦
א
א
א
Wא٢ J٣ J٢ א א א
א Kא א Kאאא
אא א א א א
KאKאא Wאא٢ J٣ J٢
אאא א Kא א א א ، א
א א אא א
א א א א אא Kא א
،E٥{٢FאאאאKא
אKאאא
Kא
KאW٥{٢
- ٢٥ -
אא
١٥٦
א
א
א
א א א א א א
א א א ،א Kאא
Wאאא٤ J٢ אא א א א א א א
Kאאא Wאא١ J٤ J٢
אאא
KE٦ J٢F א אא
א א Kא א
א א א א א א א א Kאאאאא
KאאאW٦ J٢ - ٢٦ -
אא
١٥٦
א
א
א
Wאא א٢{٤{٢ אאאא
אאאאKE٧ J٢F א
אKאאאאא א
אאאאKאאאאא
אאאאאאKאא
אאאEFאא
KאאKא
אא אא א א א אא א ،אא אאא KאאאKאאאאא
- ٢٧ -
אא
١٥٦
א
א
א
KאאW٧ J٢ Wאא٣{٤{٢ K EFאא
KE٨ J٢Fאאאאא
א Kא א
אאKאאא
Kאאא
Wא Kא• א Kאא• א - ٢٨ -
אא
١٥٦
א
א
א
Kאאאאאאא אאאאא Kאא
אאאאאW٨ J٢ Kא
WאK٥ J٢ אאא٧א(ACI 308)אאא
Kא א % ٧٠ א א אא١ J٢א
١٤אאא٣אאאא٧ K١٠אאאאא
אE٢١ZאאFאW١ J٢
KEACI 306R-78Fא
- ٢٩ -
אא
١٥٦
א
א
א
EאFא
א
٢٨א %٩٥
%٨٥
%٦٥
% ٥٠
٢٣
١٦
٨
٤
٢٤
١٨
١٠
٦
א
٢٠
١٢
٤
٣
א
אא،٢٥٥אא
Kאאא(BS8110)א 60 t + 10
אאא אא
80 t + 10
אאא %٥٠א
80 t + 10
אאא אא
140 t + 10
אאא - ٣٠ -
אא
١٥٦
א
א
א
KאאאWt WאאאW١ K٢٠Zא%٧٠Z E K١٠Zא٪٤٠Z E Wא 2 = 4 =
60 KZאE 20 + 10
80 K٤ZאE 10 + 10
%٤٠ZאאאאאW٢
K١٠Zאא
7 =
140 K٧ZאWא 10 + 10
אE٠{٤אאFאא
E٠{٥אאFאא א א א א Kא
- ٣١ -
א
א
א
٣
אא
١٥٦
א
א
א
אWאא Wאא אאאאאאא אאKאאאאאאא
אאKאאאא Kאאא
WאאאWאא Kאאא • Kאאאא • Kאאאא • KאאאאאWאאא KWאאא KאאאאאאWאא
- ٣٢ -
אא
١٥٦
א
א
א
א
W١
J٣
Kאא Wאא Kאאא• א Kאאא• א אא• א Kא א א א א א א אא
Kאאאאא،אאא
WאאאK٢{٣ אאא א
KE١ J٣F٢٤אא
WEאFאאאאK٣{٣ א א א א א א א אא Kאאאאא
א א א א א אא
א א א א אא KECaCl2)
Kאאאא Wאאא א •
אאאאאא • אא• א - ٣٣ -
אא
١٥٦
א
א
א
Kאאא • Wאאאא א• א א • אא • Kא • Kאאאאא Kא%٢١אאא אא %٢E٢{٣F KאאE٢٨FאאKא
אאאא א אאאא K١٠٥אא
אאא،٦אאא%١ Kא
אאאאאא Kאאאאאא
Kאאאא
- ٣٤ -
אא
١٥٦
א
א
א
35
(MPa) ﻣﻘﺎوﻣﺔ اﻟﻀﻐﻂ
اﺳﻤﻨﺖ ﺳﺮﻳﻊ اﻟﺘﺼ ﻠﺪ
اﺳﻤﻨﺖ ﺑﻮرﺗﻼﻧﺪي ﻋﺎدي
0 0
4
8
12
16
20
24
(اﻟﺰﻣﻦ )ﺳﺎﻋﺎت
KאאאאאW١ J٣ 50
(MPa) ﻣﻘﺎوﻣﺔ اﻟﻀﻐﻂ
40 آﻠﻮرﻳﺪ اﻟﻜﺎﻟﺴﻴﻮم
30 20
ﺑﺪون آﻠﻮرﻳﺪ اﻟﻜﺎﻟﺴﻴﻮم
10 0 0
10
20
30
40
(اﻟﺰﻣﻦ )اﻷﻳﺎم
KאאW٢ J٣
- ٣٥ -
אא
١٥٦
א
א
א
WאאאK٤ J٣ ٢٤Kאאאאאא אאא
KE٣ J٣F٢٨אא%٦٠אא
(%)ﻧﺴﺒﺔ ﻣﻘﺎوﻣﺔ اﻟﺨﺮﺳﺎﻧﺔ
100 80
اﺳﺘﻌﻤﺎل اﻟﺤﺮارة ﺧﺮﺳﺎﻧﺔ ﻋﺎدﻳﺔ
60 40 20 0 ﻳﻮم واﺣﺪ
28 ﻳﻮم (ﻋﻤﺮ اﻟﺨﺮﺳﺎﻧﺔ )اﻷﻳﺎم
אאאאאאW٣ J٣
Wאאאא אאKאאאא،אא אא • Kא
אאKאאאאאאא •
א אאKא אא א
KE٤ J٣Fאא
אKאאWא • Kאאאא - ٣٦ -
אא
١٥٦
א
א
א
60
(درﺟﺔ اﻟﺤﺮارة )درﺟﺎت ﻣﺌﻮﻳﺔ
٣آﻎ\م350 40 ٣آﻎ\م300 20
0 0
8
16
24
(اﻟﺰﻣﻦ )ﺳﺎﻋﺎت
אאאאאאW٤{٣ Kא
Wא٥ J٣ Kא א
א א א
א א א אא א K٣{٣
Kאא א E٥{٣F Kאאא א א א Kא א אא א Kאא
אאאאאאא
KE٦{٣FאאKא
- ٣٧ -
אא
١٥٦
א
א
א
Wא • אאKאאאא
אאא אאKE ٢٠Fא
Kא
אאאK٥٣אאאא אKאאKאאא
Kאא Wאאא •
Kאאאאאאאא
،אKא ٣٣ ٢٢אאא
אאאא Kא ١١אא
KE٧{٣F
Wאאאא • ٨٢ ٦٦אאאאאא א א
אא אא אK Kא
KE ٢٠Fאאא Wא • KאאאאEFא
- ٣٨ -
אא
١٥٦
א
א
א
אאאW٥ J٣ 80
(درﺟﺔ اﻟﺤﺮارة )درﺟﺎت ﻣﺌﻮﻳﺔ
ﻓﺘﺮة اﻟﺤﺮارة اﻟﻘﺼﻮى 60
ﻓﺘﺮة إرﺗﻔﺎع اﻟﺤﺮارة
ﻓﺘﺮة ﺗﺒﺮﻳﺪ
40
ﻓﺘﺮة ﻗﺒﻞ إدﺧﺎل اﻟﺒﺨﺎر 20
0 0
5
10
15
(اﻟﺰﻣﻦ )اﻟﺴﺎﻋﺎت
KאW٦ J٣
- ٣٩ -
20
25
אא
١٥٦
א
א
א
KאאאW٧ J٣ א א א
אאא א E٨{٣Fא
KאאאאKא
א = ∑ at (T + 10) Fאאאאאא KE٩{٣
- ٤٠ -
אא
١٥٦
א
א
א
(MPa) ﻣﻘﺎوﻣﺔ اﻟﻀﻐﻂ
40
30
20
10
0 0
500
1000
1500
( أﻳﺎمx ﻧﻀﺞ اﻟﺨﺮﺳﺎﻧﺔ )درﺟﺎت ﻣﺌﻮﻳﺔ
KאאאW٨ J٣ اﻟﻤﺴﺎﺣﺔ = اﻟﻨﻀﺞ
درﺟﺔ اﻟﺤﺮارة
-١٠o ﻣﺌﻮﻳﺔ (اﻟﺰﻣﻦ )اﻟﺴﺎﻋﺎت
אאאאאאW٩ J٣ א
- ٤١ -
אא
١٥٦
א
א
א
W Wאאאאא
אא 80o 50o
10o -10oﻣﺌﻮﻳﺔ 3
6.5
14.5
16
EF א
Wא
א
⎛ 20 + 90 ⎞ 193 = 3,5 * ⎜ ⎟ ⎝ 2 ⎠
אאא
L 60 = 20 * 3 L
L 720 = 90 * 8 L
אאא
⎛ 90 + 60 ⎞ 113 = 1,5 * ⎜ ⎟ ⎝ 2 ⎠
١٠٨٦ = א - ٤٢ -
א
אא
١٥٦
א
א
א
Wא٦{٣ אאא א K٢٠٦א٢١٠ J١٦٠אא
אK ٢٤ אא K٢٨אאאK
אאא אאאא K١٠٠א
Kאאא ،אאאאא
Kאאאאא،א
Kאאאא ٨ א א א K ٣ א א א
٣٠ ٢٠אאK ١٧٥א Kאא
- ٤٣ -
א
אאא
אאא
٤
אאא
١٥٦
א
אאא
א
אאאWאאא Wאא אאאאאא אאKאאאאאא אKאאאאא
Kאאאאאאאא Wאא Wאאאאא Kאאא • Kאא • Kאאאא • Kאאא • Kאאא • Kאא • Kאאא • KאאאאאWאאא KWאאא KאאאאאאWאא - ٤٤ -
אאא
١٥٦
א
אאא
א
אאא WK١{٤ אאאאאאא
W
Kא Kאא Kא א Kאא אאא،אא
א אאאאWאאא
Kאא
WאאK٢{٤ Kאאא،אאאא
א א א א K א א א א א Kא אא
א א א א אא א K
Kאאא E١ J٤Fא Kאא
אאאאא ٢٨אK
אאאאKאאא K٢٨٣אאאא
Kאאאאאא Wא
- ٤٥ -
אאא
١٥٦
א
אאא
א
א • אא • א • א • 50 (ﻋﻤﺮ )اﻷﻳﺎم 28
(MPa) ﻣﻘﺎوﻣﺔ اﻟﻀﻐﻂ
40
7
30
3 20 1 10 0 -10
0
10
20
30
40
50
(درﺟﺔ اﻟﺤﺮارة )درﺟﺎت ﻣﺌﻮﻳﺔ KאאאW١{٤ א ،א אא
Kאאאא
Kאאאאא ،אאאאאא א אאא KE٢ J٤F א K א א E٣ J٤ F א - ٤٦ -
אאא
١٥٦
א
אאא
א
אאא אK٤ J٤א Kאאאאאאאא
(mm) درﺟﺔ اﻟﺘﺸﻐﻴﻠﻴﺔ
150
100
50
0 0
10
20
30
40
(درﺟﺔ اﻟﺤﺮارة )درﺟﺎت ﻣﺌﻮﻳﺔ
KאאאאאW٢ J٤
- ٤٧ -
אאא
١٥٦
א
אאא
א
(٣آﻤﻴﺔ اﻟﻤﺎء )آﻎ\م
190 180 170 160 150 0
20
30
40
(درﺟﺔ ﺣﺮارة اﻟﺨﺮﺳﺎﻧﺔ )درﺟﺔ ﻣﺌﻮﻳﺔ
KאאאאאW٣ J٤
ﻣﻘﺎوﻣﺔ اﻟﻀﻐﻂ
80
(MPa)
10
60
40
20 0.2
0.4
0.6
(W/C ratio)
0.8
1
ﻧﺴﺒﺔ اﻟﻤﺎء إﻟﻰ اﻹﺳﻤﻨﺖ
KאאאאW٤ J٤
- ٤٨ -
אאא
١٥٦
א
אאא
א
WאאK٣
J٤
אאK ١٦אאא
א (T) א א א א א א
K٣٢אאK KEא،א،אF
T=
0,22(TaWa + TcWc ) + TwWw + TwaWwa 0,22(Ww + Wc ) + Ww + Wwa W
KאאWT
E٣LFאWW אWa אWc אWw Kאא אWwa ،א ،אF א (T) א א א א W١
KEא
E٣\Fא
אא
50
335
א
40
1839
א
30
167
א
EFא
- ٤٩ -
אאא
١٥٦
א
אאא
א
Wאאאא T =
0,22(40 x1839 + 50 x335) + 30 x167 24878 = = 38.5o C. 0,22(1839 + 335) + 167 645
אאאא א ؟א
Wא 645 0.22 x335
• א
645 0.22 x1839
• א
645 167
• א
8.8 = 1.6 =
3.8 =
Wא١{٣{٤ אא א א א א א א א
Kא % ٨٥ ٧٠אאEא אFא
K ١٦אא ١٠אא
Wא
אאא • Kא • אא• א Kאאאא •
- ٥٠ -
אאא
١٥٦
א
אאא
א
WאK٢{٣{٤ א EאאFאאאאא
א א ٠{٥א א אFאאא
،אKאאאאKE٠{١٢א ١٠אא٣٨אא
Wאאא Kאאא • KאאEF • KE٥ J٤Fאאאא• א
. ﺟﻬﺎز ﺗﺒﺮﻳﺪ اﻟﻤﺎء:٥-٤
א Kא אא א א א
K(T)אאאאא - ٥١ -
אאא
١٥٦
א
אאא
א
T=
0,22(TaWa + TcWc ) + TwWw + TwaWwa − 112Wi 0,22(Ww + Wc ) + Ww + Wwa + Wi
W
KאWWi Eא،א،אFאTאאאאW٢ K٣٥ZWiא
EFא
E٣\Fא
אא
50
335
א
40
1839
א
30
132
א Wאאאא
T=
0,22(40 x1839 + 50 x335) + 30 x132 − 112 x35 19908 = = 30.8o C. 0,22(1839 + 335) + 132 + 35 645
K٧{٨אאא٣٥אא KאאאאE٦ J٤Fא - ٥٢ -
אאא
١٥٦
א
אאא
א
درﺟﺔ ﺣﺮارة اﻟﺨﺮﺳﺎﻧﺔ درﺟﺎت ﻣﺌﻮﻳﺔ
(درﺟﺔ ﺣﺮارة ﻣﺎء اﻟﺨﻠﻄﺔ )درﺟﺎت ﻣﺌﻮﻳﺔ
30
35 20
32 29 27
10
24
0 20
25 30 35 40 (درﺟﺔ ﺣﺮارة اﻟﺮآﺎم واﻹﺳﻤﻨﺖ )درﺟﺎت ﻣﺌﻮﻳﺔ
אאאאאאW٦{٤ J٤ Kא
Wאא אאK٤{٤ Wאאאאא Kאאאאאאא • אא אאא אאא • Kאא
Kא • Kא • - ٥٣ -
אאא
١٥٦
א
אאא
א
אאאאאא • Kאאאאא٤٥אא
K٣٠٠אא • (Retarding admixtures)WאאK١{٤{٤
Wאאאאא אאאאאWאאאא K١ Kאאא
אאאאWא K٢ Kאאאאאא
Kאאאא אK٣ אKאאאאאאא Wאא א• א א • א • אא • א אאא אאא אא אKאאא א٢٨א٧אא KE٧ J٤F،א - ٥٤ -
אאא
١٥٦
א
אאא
א
KEF،א،אאאאא K٤אאאא%٠{٠٥א Kא%١٠{٢אאאאאאא
ﻣﻘﺎوﻣﺔ اﻟﻀﻐﻂ
ﻳﻮم واﺣﺪ
أﻳﺎم7
ﺑﺪون إﺿﺎﻓﺎت
ﻳﻮم28
ﺑﺎﻹﺿﺎﻓﺎت
KאאW٧{٤ WאK٥{٤
א אאKא
אאK ٨אאאאא
KאאKאאאא
אאא KאאאאKא
Wאאאא אא - ٥٥ -
אאא
١٥٦
א
אאא
א
Kאאא • Kא • Kא • אאא E٨ J٤F א Kאאאא
- ٥٦ -
אאא
١٥٦
א
אאא
א
אאאאWE٨ J٤F
K(ACI 305, R-77)אא א אא - ٥٧ -
אאא
١٥٦
א
אאא
א
W٤ J٨א Concrete temperature: אא Relative humidity:
א
Wind velocity:
א
Air temperature:
אא
Rate of evaporation:
٠{٥אאאא
א א א אאא אL٢L KאL٢L١
אאאKאאE٩ J٤F K٧٠אאאאאא،
KאWE٩ J٤F
- ٥٨ -
אאא
١٥٦
א
אאא
א
Wאאאאא אאאאאא • Kאאא
Kאאאאא • Kאאאא WאאאE٨ J٤FאאאW١ K١٨Wאא .٪٤٠Wאא K٢١Wאא K\א٢٤Wא KאL٢L٨{٠ Zאא WאאאE4-8FאאאW٢ K٣٠٠Wאא . ٪٣٠Wאא K32 Wאא K\א٣٢Wא KאL٢L٢{٠Zאא א ٢١ א א ،א
א א ،\א ٣ אאא KאL٢L٢{٠
- ٥٩ -
אאא
١٥٦
א
אאא
א
Wאא٦{٤ ،אא ،א א אאא
Kאאא(JoulesFאאא Wאאא Kאא • Kא • Kאא • Kאא •
Kאאאאאא אאאאאאא E١ J٤F Kאאא KאאאW١{٤
א
٪100
א
I
٪85 J80
א
II
٪150
א
III
٪60 J40
אא
IV
٪75 J60
V
א א א א א Kאא٤ - ٦٠ -
אאא
١٥٦
א
אאא
א
א،אאאאא א א
KאאאKא
אאאאאאאE٤ J٣F
אאאאאKאא
١٥א א ٣L ٥٠א ١٢ Kאא
WאאK٧{٤ Kאאאאאאאאא א א א א א Kאאאאאאא
אא אאאאאא Kא
אאאאאא Kאא
Wא א א א א א אא • א Kאאא
א א ، ٢٤ א א א אאKאאאאאא K٢٤אאאא
- ٦١ -
א
אאא
אאא
٥
אא
١٥٦
א
אאא
א
אאאWאא Wאא אאאאאא אאאאאא
KאאאאKא Wאא Wאאאא Kאאא • Kאא • Kאאא • Kאאא • Kאא • KאאאאאWאאא KאWאאא KאאאאאאWאא
- ٦٢ -
אא
١٥٦
א
אאא
א
אאא WאאK١{٥
אאKאאא
א،אKMPa ٣{٥ אאא
אא ٪٥٠אאK ٢٤אא
Kאאא
א א א א א אא ١٠ אא א Kא א א Kאאאא
א א אא א א א א
Kאא
WאאאאK٢{٥ אאאאאאא
KאאאKאאאא
Kא אאאאא א Kא א א אא אאKאאא
Kאאאאאא
אאאאאא Kאא
- ٦٣ -
אא
١٥٦
א
אאא
א
Wאאאאא אE٣F אK١ E٣L١٢٠٣L٦٠Fאאא אK٢ Kא אK٣ F(CaCl2)אאאא
אEאא א٪٢ Kאאאאא
א א אאאא
Kאא
א אא א אא אא א Wא
Kאא אאאEא אF KE٨٠٦٠Fא
Kאא٥٢א ،אFאEΤFאאאא
KE١ J٥FאאאאאEא،א
- ٦٤ -
١٥٦
א
אאא
א
(درﺟﺔ ﺣﺮارة ﻣﺎء اﻟﺨﻠﻄﺔ )درﺟﺎت ﻣﺌﻮﻳﺔ
אא
75
درﺟﺔ ﺣﺮارة اﻟﺨﺮﺳﺎﻧﺔ درﺟﺎت ﻣﺌﻮﻳﺔ
21
65 18 55
16
45
13 10
35 7 25 0
5
10
15
20
(درﺟﺔ ﺣﺮارة اﻟﺮآﺎم واﻹﺳﻤﻨﺖ )درﺟﺎت ﻣﺌﻮﻳﺔ
KאאאאאאאW١{٥
WאאK٣{٥ א אא א א א א א
KאאאאאאאאE٢{٥F אאאאאKאא א KE٣{٥Fא
אא א א א א א KE٤{٥Fא
א אא Kא א א אאFאאאאE٥ J١Fא
KE١٠Z
- ٦٥ -
אא
١٥٦
א
אאא
א
אאאאאאאW5-2
אאאאW5-3
- ٦٦ -
אא
١٥٦
א
אאא
א
KאאאאאW٤ J٥ E ١٠ZאאFאאאW١{٥ (ACI 306R-78)אא
EאFא
א
٢٨א
%٩٥
% ٨٥
% ٦٥
% ٥٠
٢٩
٢١
١١
٦
٣٥
٢٨
١٤
٩
א
٢٦
١٦
٥
٣
א
- ٦٧ -
אא
١٥٦
א
אאא
א
א א א א א
٢٨אא٪٥٠אא٦א
Kאאאא٣אK
- ٦٨ -
א
אא
אא
٦
אא
١٥٦
א
אא
א
אאWאא Wאא אאאאאא .ﺗﺼﻤﻴﻢ اﻟﺨﻼﻃﺎت اﻟﺨﺮﺳﺎﻧﻴﺔ وآﺬﻟﻚ اﻟﻄﺮق اﻹﺣﺼﺎﺋﻴﺔ ﻟﺪراﺳﺔ اﻟﻨﺘﺎﺋﺞ ﻋﻠﻰ اﻻﺧﺘﺒﺎرات Wאא Wאאאא אאא • Kאאאאא • Kאאאאא • Kאאאאאא
•
KאאאאאWאאא KאWאאא KאאאאאאWאא
- ٦٩ -
אא
١٥٦
א
אא
א
אא W١ J٦ ﻧﻌﻨﻲ ﺑﺘﺼﻤﻴﻢ اﻟﺨﻼﻃﺎت اﻟﺨﺮﺳﺎﻧﻴﺔ ﺗﻌﻴﻴﻦ اﻟﻜﻤﻴﺎت ﻟﻠﻤﻮاد ﻣﻦ إﺳﻤﻨﺖ و رﻣﻞ و رآﺎم آﺒﻴﺮ و ﻣﺎء و وﺗﻮﺟﺪ ﻋﺪة ﻋﻮاﻣﻞ ﺗﺆﺛﺮ ﻋﻠﻰ اﻟﺘﺼﻤﻴﻢ آﺸﻜﻞ اﻟﺮآﺎم و ﺣﺠﻤﻪ و ﺗﺪرﺟﻪ و ﻃﺒﻴﻌﺔ اﻟﻌﻤﻞ و.إﺿﺎﻓﺎت و هﻨﺎك ﻋﺪة ﻃﺮق ﻟﺘﺼﻤﻴﻢ اﻟﺨﻠﻄﺎت.اﻟﺘﺸﻐﻴﻞ و ﻃﺮﻳﻘﺔ اﻟﺪﻣﻚ و ﺗﻮﻓﺮ اﻟﻤﻮاد و درﺟﺎت اﻟﺤﺮارة و ﻏﻴﺮهﺎ .ﻓﻬﻲ إﻣﺎ أن ﺗﻜﻮن ﺗﺠﺮﻳﺒﻴﺔ ﺗﻘﺮﻳﺒﻴﺔ و إﻣﺎ أن ﺗﻜﻮن ﻧﻈﺮﻳﺔ ذات ﺗﻔﺎﺻﻴﻞ آﺜﻴﺮة א• א א •
אא •
אא • א• א
Wאא١{١{٦ אאאא אאE٤W٢W١Fאאאא
אאאא Kאא
Wא٢{١{٦
Wאא אאWא •
אאKאאאאא
K
אאאאWא • Kאאאאא - ٧٠ -
אא
١٥٦
א
אא
א
אאא وﺑﻌﺪCאאWא • KWאא ،אא אא א EMPaF٢٨
٠{٣٧
٤٥
٠{٤٧
٣٥
٠{٤٢
٤٠
٠{٥٤
٣٠
٠{٦١
٢٥
٠{٦٩
٢٠
٠{٨٠
١٥ W
٢٨אאאאא KMPa٣٥ ٦{٦٧١٠אא Kאא٪٤٠
אאK ٠{٤٧א אאאא
K١{٥٠٤٣{٢٠
٣٥٠ ٧אF Wא
KEא٣
- ٧١ -
אא
١٥٦
א
אא
א
اآﻴﺎس إﺳﻤﻨﺖ٧آﻤﻴﺔ ل
(آﻤﻴﺔ )آﺠﻢ
١٦٤.٥
١.٥٠٤
اﻟﻤﺎء
٣٥٠
٣.٢٠
اﻹﺳﻤﻨﺖ
٧٢٩.٥
٦.٦٧
اﻟﺮﻣﻞ
١٠٩٣.٧
١٠
اﻟﺮآﺎم اﻟﻜﺒﻴﺮ
٢٣٣٧
٢١.٣٧
اﻟﻤﺠﻤﻮع Wאא٣{١{٦
HאHאHאFאאא
KEאא
W C A1 A2 ρ + ρ + ρ + ρ =1 w c 1 2
W א :C א :A1
אא :A2 א :W
Kאאאא
:ρ
A1/A2, C/(A1+A2), FאאEA2, A1, C, WFא
KEW/C
- ٧٢ -
אא
١٥٦
א
אא
א
W
K٢٨KMPa٢٥
Wא
Wאא ٠{٦١ ZW/C ٠{١٥ ZC/(A1+A2)
٠{٣٥ ZA1/(A1+A2)
Kאאא
א
א
0.35 = 2.33
0.65 = 4.33
١
٠{٦١
0.15
0.15
ﻓﻴﻜﻮن ﻣﺤﺘﻮىρcZ٣{١٥ وﻟﻺﺳﻤﻨﺖρ٢Z٢{٦ وﻟﻠﺮﻣﻞρ١Z٢{٥אאאא :اﻹﺳﻤﻨﺖ W C A1 A2 + + + =1 ρ ρ ρ ρ w
c
1
2
0.61C C 2.33C 4.33C + + + =1 1 3.15 2.60 2.50
- ٧٣ -
אא
١٥٦
א
אא
א
K٣L٢٨١Z٣L٠{٢٨١ZCא
Wאאא (ﻣﺘﺮ ﻣﻜﻌﺐ/آﻤﻴﺔ )آﺠﻢ ١٧١
= ٢٨١ x ٠.٦١
א
٢٨١
א
٦٥٥
= ٢٨١ x ٢.٣٣
א
١٢١٧
= ٢٨١ x ٤.٣٣
אא
ﻣﺘﺮ ﻣﻜﻌﺐ/ آﺠﻢ٢٣٢٤
א Wאא٤{١{٦
Wאאאא slump
: اﺧﺘﺒﺎر هﺒﻮط اﻟﺨﺮﺳﺎﻧﺔ.١
:אאא
KאאאW١{٦ אא
ﺧﺮﺳﺎﻧﺔ اﻟﻄﺮق اﻟﻤﺪﻣﻚ ﺑﺎﻟﻬﺰازات اﻵﻟﻴﺔ ﺧﺮﺳﺎﻧﺔ اﻟﻄﺮق اﻟﻤﺪﻣﻚ ﻳﺪوﻳﺎ اﻷﺳﻘﻒ واﻟﺒﻼﻃﺎت اﻟﺨﺮﺳﺎﻧﺔ ذات اﻟﺘﺴﻠﻴﺢ اﻟﻤﻜﺜﻒ
- ٧٤ -
א ﻣﻨﺨﻔﻀﺔ ﺟﺪا ﻣﻨﺨﻔﻀﺔ ﻣﺘﻮﺳﻄﺔ ﻋﺎﻟﻴﺔ
EFא ٢٥ – ٥ ٥٠ – ٢٥ ١٠٠ – ٥٠ ١٧٥ – ١٠٠
אא
١٥٦
א
אא
א
Max aggregate size :אא א.٢
Wאאא
b 5
d a
3a 5 d 3
b
א
water content
:אאK٣
KE٢ J٦Fאאאאאאא KאW٢{٦ E٣\Fא
אאא
ﻣﻢ١٥٠
ﻣﻢ٧٠
ﻣﻢ٥٠
ﻣﻢ٤٠
ﻣﻢ٢٥
ﻣﻢ٢٠
١٢٥ ١٤٠
١٤٥ ١٦٠ ١٧٠
١٥٥ ١٧٠ ١٨٠
١٦٠ ١٧٥ ١٨٥
١٨٠ ١٩٥ ٢٠٥
٠.٢
٠.٣
٠.٥
١
١.٥
אא
א
ﻣﻢ١٠
١٨٥ ٢٠٠ ٢١٠
١٢.٥ ﻣﻢ ٢٠٠ ٢١٥ ٢٣٠
٢٠٥ ٢٢٥ ٢٤٠
ﻣﻢ٥٠-٣٠ ﻣﻢ١٠٠-٨٠ ﻣﻢ١٨٠-١٥٠
٢
٢.٥
٣
E٪Fאאא
- ٧٥ -
אא
١٥٦
א
אא
א
water/cement ratio
Wאא
.٤
F א א E٣ J٦F א א א KE٢٨א
א א א א W٣{٦ Kאא
אא א EMPaF٢٨
٠.٣٧ ٠.٤٢ ٠.٤٧ ٠.٥٤ ٠.٦١ ٠.٦٩ ٠.٨٠
coarse aggregate content
٤٥ ٤٠ ٣٥ ٣٠ ٢٥ ٢٠ ١٥
Wאא
.٥
א א א א א KE٤ J٦Fאאאאא
- ٧٦ -
אא
١٥٦
א
אא
א
KאאאW٤{٦ אאא ٣.٠٠ ٠.٤٤ ٠.٥٣ ٠.٦٠ ٠.٦٥ ٠.٧٠ ٠.٧٢ ٠.٧٦ ٠.٨١
Kא ٢.٨٠ ٠.٤٦ ٠.٥٥ ٠.٦٢ ٠.٦٧ ٠.٧٢ ٠.٧٤ ٠.٧٨ ٠.٨٣
٢.٦٠ ٠.٤٨ ٠.٥٧ ٠.٦٤ ٠.٦٩ ٠.٧٤ ٠.٧٦ ٠.٨٠ ٠.٨٥
אאא
٢.٤٠ ٠.٥٠ ٠.٥٩ ٠.٦٦ ٠.٧١ ٠.٧٦ ٠.٧٨ ٠.٨٢ ٠.٨٧
EF ١٠ ١٢.٥ ٢٠ ٢٥ ٤٠ ٥٠ ٧٥ ١٥٠
Wאאאא Kאא אCאאZאא
fine aggregate content
WEאFאא
.٦
אאEאאHאH אFאאאא
Kא
KאE٥ J٦Fא
- ٧٧ -
אא
١٥٦
א
אא
א
KאאW٥{٦ EF א ٢٢٨٥ ٢٣١٥ ٢٣٥٥ ٢٣٧٥ ٢٤٢٠ ٢٤٤٥ ٢٤٦٥
אא
EFא ١٠ ١٢.٥ ٢٠ ٢٥ ٤٠ ٥٠ ٧٠
Wאא٥{١{٦
Kא א א א
אאאConcrete Mix Design Software suite. Kא(Durabilty of Concrete)א٢٨א
Wא
See Mix III (Concrete Analysis and mix proportioning Software) MixCalc 101 and MixCal102 (Concrete Mix design Calculator
- ٧٨ -
אא
١٥٦
א
אא
א
אאאא
W٢ J٦ אאא
א،(segregation)א
א،אאאאאK אאאא
٪٥ אאאאאא
K٪٣٠אא Wאא١{٢{٦
K٣٠א١٥אE١{٦Fאאאא
אאאא • Kאאאאא
Kאאא •
KWאאאא •
א א א א א • Wאאא
π 4
W LD
2
= אא
W אא =W ٣٠٠Zאא= אL
١٥٠Zאא =D - ٧٩ -
אא
١٥٦
א
אא
א
KאאאאאW١{٦
W
K١٢{٣ZWאאאאא
Wא
K 0.005298 =
3.14 × 0.152 × 0.3 π 2 = D L Zאא 4 4
٣L 2321 =
12.3 Zאא 0.005298
- ٨٠ -
אא
١٥٦
א
אא
א
Wאא٢{٢{٦
W
،EאאאאאFאא אKאאאאא (W/C)א •
(A/C)א •
Kאאאאאאא •
Wא
אא •
א א • א א א א א K א Kאאא
א א F א א • KEא
א ١٥٠ ٥א • KאאאאKא
אK אאאאא • Kאאא
א א א א א א • K
א א א א א א • Kאא
- ٨١ -
אא
١٥٦
א
אא
א
א (R.A.M.) א א א א א א א א א E٢ J٦ א
א (BS. 1881:part2) א אא א א
Kאא
W
Kאאאא א١٠٠٠٠Z
א١١٠٠Z
Kא١٠٠٠Zאאא
Kא٧٠٠٠ZאאאEא٨٩٠٠Fא
Kא٤٥٠٠٤אאאKא Kא٢٥٠٠٤אאא
K٪٢Zאא
Wא
10% = 100%
1000 − 1100 א 1000
Kא٨٩٠٠Z١١٠٠ J١٠٠٠٠א
Kא٧٠٠٠אא
Kא١١٠٠Z٧٠٠٠ J٨٩٠٠Zאא
Kאא١٠٠א١١٠٠
Kא 809 = 8900 × 100 Zאא٨٩٠٠ 1100
Kא١٠٩١Z٨٠٩ J١٩٠٠Zא 140 = 7000 ×
2 א 100
Kא٦٦٩Z١٤٠ J٨٠٩ZEאFאא - ٨٢ -
אא
١٥٦
א
אא
א
669 Zא 1091 6.41 = 7000 Zא 1091
0.61 =
אא(RAM)W٢ J٦ slump testWאאא٣{٢{٦ א א א א א א א א
(frustum cone) א א א K(ASTM C143-78) KE٣ J٦F
- ٨٣ -
אא
١٥٦
א
אא
א
100ﻣﻢ
300ﻣﻢ
200ﻣﻢ
W٣{٦ Wא Kאאא K٦٠١٦א٢٥ Kאא א אאאאאאא E٤{٦FKא
KE٥{٦Fאאאאא אאאאאא
אאא אK(cohesion)אאא
אאאאאאK(lean concrete)א
א א א א K א Kאאא
- ٨٤ -
אא
١٥٦
א
אא
א
KאW٤{٦
c) collapseא b) shear
a) True slump
KאאW٥{٦ א٤
J٢ J٦
אאאאKE٦{٦Fאאאא Kאא١٤١٥٢ אאא ٢٠٠אKאא K٤٠٠אא - ٨٥ -
אא
١٥٦
א
אא
א
KאאW٦ J٦ WEFאא٥ J٢ J٦ ١٩٤٠אא אV. Bahrner א ﻧﺴﺒﺔ إﻟﻰ אvebeא
א א א (BS 1881 part 104 1983) א אא א
אאאאא
KאE٧-٦) KK٤٠אא Wא (slump test)אאא א ٢٤٠Fאאאאאא E٢٠٠
Kא E٨{٦ KFE٢{٧٥ZFא Kאא - ٨٦ -
אא
١٥٦
א
אא
א
א א א א א (T) א Kאאאא
א א א א
. ﺛﺎﻧﻴﺔ٣٠ إﻟﻰ٥ ﻳﻜﻮن هﺬا اﻻﺧﺘﺒﺎر ﻣﻼﺋﻤﺎ ﺟﺪا ﻋﻨﺪﻣﺎ ﻳﺘﺮاوح اﻟﺰﻣﻦ ﻣﻦ.(Vebe seconds)א
Kא(T)אא٩-٦ وﺷﻜﻞ
EFאW٧-٦
- ٨٧ -
אא
١٥٦
א
אא
א
EFאW٨-٦ 1
ﻣﻌﺎﻣﻞ اﻟﺪﻣﻚ
0.9
0.8
0.7
0.6 0
4
8
12
(زﻣﻦ ﻓﺐ )اﻟﺜﺎﻧﻴﺔ KאאW٩-٦ - ٨٨ -
אא
١٥٦
א
אא
א
compacting factor testWאא٦ J٢ J٦
K(BS.1881:part2)אאא١٩٤٧אא א א
אא אKE١٠{٦Fאא
אאאאאא אKאא Kאאא
Wא Kאאאא KE١١{٦Fאאאאא אא אא Kא
Kאאאא P1Zאא אאאאא K
P2Zאא Wא(compacting factor)א
C.F =
P1 P2
א E٦-٦FKאאא Kאאאא
- ٨٩ -
אא
١٥٦
א
אא
א
ﻣﻢ٢٦٠
ﻣﻢ٢٦٠
ﺑﺎب
ﻣﻢ٢٤٠
ﻣﻢ٢٤٠
ﺑﺎب
ﻣﻢ١٥٠
ﻣﻢ٢٨٥
אאWE١٠-٦F
- ٩٠ -
אא
١٥٦
א
אא
א
אאW١١-٦
- ٩١ -
אא
١٥٦
א
אא
א
KאאאאאאאW٦{٦ אאא א EFא
א
-
٠{٧٨
٢٥ J٠
א
-
٠{٨٥
٥٠ J٢٥
-
٠{٩٢
١٠٠ J٥٠
F -
٠{٩٥
١٧٥ J١٠٠
א -
Eא
אאאא
- ٩٢ -
אא
١٥٦
א
אא
א
אאאא
Wאא١{٣{٦ א Kא א Wאאא
Kא Kא Kא Kא א١٥٠١٠٠ C470-(ASTM אאKE٣٠٠Zא١٥٠ZFאא
K١٢-٦E81 Wא
٢٥א
אאאאאא אK ١٦
KE١٣-٦F
KE١٤{٦Fא K٢٤אאא Kא٢٠אאאא ١{٥F אאאא KאאE٣
א E١٥{٦ F א א א אKאאאאא
Kאאאאא - ٩٣ -
אא
١٥٦
א
אא
א
KאMPa٠{٤٠{٢אא א K ٢٨ א א Kא٢٦،١٣٧٣אא
Wאא١{٢٥אא f cu = 1.25 f cyl אZfcu אאZfcyl K ⎛⎜ h ⎞⎟ אאאא ⎝d ⎠
h =2 d
אא
h =1 d
א
א
KאאאאאW١٢-٦ - ٩٤ -
אא
١٥٦
א
אא
א
KאאאW١٣-٦
KאW١٤-٦ - ٩٥ -
אא
١٥٦
א
אא
א
אאW١٥-٦ Wאא٢{٣{٦
Kאאאא
אאאאא
Kאאא אא
Wאאאא
אא،אאאאאWא • Kאא
Kאאאאא •
KאאאW• א
KאאאאאאאW• א
Kאאא• א
- ٩٦ -
אא
١٥٦
א
אא
א
אאאאאא
Kא
KאאאאE١٦ J٦F
אE١٦ J٦F
KאאאאאאאE١٧ J٦F
- ٩٧ -
אא
١٥٦
א
אא
א
10
ﻣﻌﺎﻣﻞ اﻟﻨﻔﺎذﻳﺔ
8
6
4
2
0 0
10
20
30
40
(%) ﻧﺴﺒﺔ اﻟﻔﺮاﻏﺎت داﺧﻞ اﻟﻌﺠﻴﻨﺔ اﻻﺳﻤﻨﺘﻴﺔ
KאאאאW١٧{٦ Wאא٣{٣{٦
אאKאא
Kאאא Wא
Kאאאא K٢٨א
אאא ،א٤١٥אאא E١٨ J٦Fא
- ٩٨ -
אא
١٥٦
א
אא
א
א א א א E ٣٠٠x١٥٠F א KE١٩{٦Fא
Kאאאא Kאאאאא Kאא
KאאאאW١٨{٦
KאאW١٩{٦ - ٩٩ -
אא
١٥٦
א
אא
א
WאEσtFאא
2P
σ t = πLD אWp ١٥٠ZאאWD
٣٠٠ZאאWL
Wא σ t =
2P πa 2 אZa
KאאאE6-20F
K
KאאאאW٢٠ J٦
- ١٠٠ -
אא
١٥٦
א
אא
א
א א ٪١٥ א א א
Kאא
Wאא٤{٣{٦
אאKאE٢١{٦Fא
٧٥٠ x ١٥٠ x١٥٠ (ASTM C78) א א ٥٠٨x١٥٢x ١٥٢ K(BS:1881)Kאא
KאאאW٢١ J٦ Wא Kאא K٢٨א
MPa ٠{١٠ ٠{٠٢ א א א Kא
- ١٠١ -
אא
١٥٦
א
אא
א
K٢٢ J٦ א א א א
Kאאא modulus of F א א א א א א
KE٢٢{٦F אאKErupture
ERFא،E٢٢{٦Fאאא Kא
Pl R = bd 2 א אWp ٤٥٠ZאאWl ١٠٠ZאאWd ١٠٠Z
א Wb
אאאFאאא WאאאEא٪٥
3Pa R = bd 2 KאאZa Kאאאא Kאאאאא
- ١٠٢ -
אא
١٥٦
א
אא
א
P/2
d
P/2
d
d
4d ﻋﺰم اﻹﻧﺤﻨﺎء
pd M= 2
V=
ﻗﻮة اﻟﻘﺺ
p 2
KאאאW٢٢{٦ KאאE٢٢ J٦F
KאאW٢٣{٦ - ١٠٣ -
אא
١٥٦
א
אא
א
Wאא٥{٣{٦ אאאאE٢٤{٦Fאא א(fp)אא
f
p
=
F A אאאZF KאאZA
(F)אKא(fp)א
E٢٥{٦Fא
אאW٢٤{٦
- ١٠٤ -
אא
١٥٦
א
אא
א
(MPa)ﻣﻘﺎوﻣﺔ ﻗﺎﻟﺐ اﻟﺨﺮﺳﺎﻧﺔ ﻟﻠﻀﻐﻂ
70 60 50 40 30 20 10 0 0
10
20
30
40
50
(kN) ﻗﻮة اﻹﻗﻼع Kאא:٢٥ J٦
WEאאFאאאא٦ J٣ J٦ ٢٥٠א E٢٦{٦F Kאאא Kאא
- ١٠٥ -
אא
١٥٦
א
אא
א
KW٢٦ J٦ (Ultrasonic pulse velocity)אאא٧{٣{٦ (T) אE٢٧{٦Fא אא
وﻳﺮاﻋﻰ ﻣﻌﺎﻳﺮة اﻟﺠﻬﺎز ﺑﺎﺳﺘﺨﺪام ﻗﻀﻴﺒﻲ.%١אאE٢٧{٦Fאא . ﻣﻢ٢٥٠ ﻣﻌﺎﻳﺮة ﺑﻄﻮل
KאאW٢٧ J٦ Kא אא E٢٨{٦Fאא א אא (a) אא
K(c)(b)
- ١٠٦ -
אא
١٥٦
א
אא
א
اﻟﻤﺮﺳﻞ
اﻟﻤﺮﺳﻞ
L
اﻟﻤﺴﺘﻘﺒﻞ اﻟﻤﺴﺘﻘﺒﻞ א א:(a)
א א:(b) اﻟﻤﺮﺳﻞ
اﻟﻤﺴﺘﻘﺒﻞ
L
א א:(c) KאאאW٢٨ J٦ K(V)א V =
L T EFאZL EאFאZT
Wא(E)אא(V)א V =
E
ρ
- ١٠٧ -
אא
١٥٦
א
אא
א
Kא = ρ Kאאאא א
א (pulse velocity) א א א א א KE٢٩ J٦ F א Wאא Kא Kאאא Kא Kא
(MPa) ﻣﻘﺎوﻣﺔ اﻟﺨﺮﺳﺎﻧﺔ ﻟﻠﻀﻐﻂ
60 50 40 30 20 10 0 4000
4500
5000
5500
(ﺳﺮﻋﺔ اﻟﻨﺒﻀﺎت )م\اﻟﺜﺎﻧﻴﺔ
אאאאW٢٩ J٦ Kא
- ١٠٨ -
אא
١٥٦
א
אא
א
Wאא KEאFאאא(cracks) Kאא Kאא Schmidt hammerWאאאא٨{٣{٦ (non-destructive testing)אאאאא
אאאKא
KE٣٠{٦FKאא
KW٣٠ J٦
KE٣١{٦F (plunger)אא
Kא א אא
KE٣٢{٦Fאאאאא
אאאאאא KKאאא אא ١٢ ١٠ אKאאא ٥א
Kאאאאאאא
א Kא א א א
KE٣٣{٦FאאאEF - ١٠٩ -
אא
١٥٦
א
אא
א
Kא W٣١ J٦
(MPa) ﻣﻘﺎوﻣﺔ اﻟﺨﺮﺳﺎﻧﺔ ﻟﻠﻀﻐﻂ
50
40
30
20
10 10
20
30
40
50
رﻗﻢ اﻹرﺗﺪاد
KאאאאW٣٢ J٦
- ١١٠ -
אא
١٥٦
א
אא
א
اﻟﺨﺮﺳﺎﻧﺔ
اﻟﺠﻬﺎز اﻟﺠﻬﺎز
اﻟﺨﺮﺳﺎﻧﺔ
اﻟﺨﺮﺳﺎﻧﺔ
اﻟﺠﻬﺎز EaF
EbF
EcF
(c)>(b)>(a)אא KאאW٣٣{٦
א א א א א
Kאאא אאKאא
- ١١١ -
אא
١٥٦
א
אא
א
אאאאאא
Wאא١{٤{٦ אאאא ،אאא
אאKאאאאא א
WאאK١ אאאאאאEXFאא Kאאאאאא
WאאאK٢ אאאEX1,X2, …..XnFאא
KאאאאאאאK
WאאאאK٣ אאאאא Kא
EX1,X2, …..XnFאאאא
Kאא
RangeWאK٤
א XnKא،X1אא
Kאא(Range)אEXn – X1F Kאאא
- ١١٢ -
אא
١٥٦
א
אא
א
(Classification and the Histogram) Wאאא א.٥
(Intervals)אאא
א،אא،אEאFאא KEΝFאEΙFאא
N=
Range ( X n − X 1 ) = I I
א(Frequency)א K(Histogram)אא
W
WאאאE١٠٠Fאאאאא
א (אאF ٥ ١٥ ٢٠ ٣٠ ١٥ ١٠ ٥
א (N/mm2) ٢٠ – ١٨ ٢٢ – ٢٠ ٢٤ – ٢٢ ٢٦ – ٢٤ ٢٨ – ٢٦ ٣٠ – ٢٨ ٣٢ – ٣٠
Wא N/mm2٢{٠٠=I N/mm2١٤=١٨ J٣٢=א ٧ = ٢\١٤ = N= ﻋﺪد اﻟﻔﺌﺎت
אא،EΙFאאא
K٣٠אאאאא - ١١٣ -
אא
١٥٦
א
אא
א
،אאאא
اﻟﺘﻜﺮار
KE٣٤{٦)אאאאא 35 30 25 20 15 10 5 0 18-20 20-22 22-24 24-26 26-28 28-30 30-32
(ﻗﻴﻢ اﻟﻔﺮدﻳﺔ )س
אאאW٣٤{٦
W(Distribution)Eא،אFאאK٦
،EFאאאאא (Normal Distribution)EאFאאאאא
KE٣٥ J٦Fא
- ١١٤ -
אא
١٥٦
א
אא
א
KEאFאאאWE٣٥ J٦Fא
WאK٧ אאאEאFאאאE X Fא Wאאא(n)
X =
X 1 + X 2 + X 3 + ......... + X n n
n
X =
∑X i =1
i
n
W
אnאאאX1, X2, X3,……..Xn Kא
- ١١٥ -
אא
١٥٦
א
אא
א
WאאאK٨ אא،אאאאא אEσFאאאאאKאא
WאאאאKאא
[(
⎧⎪ X − X 1 σ = ⎨ ⎪⎩
) + (X 2
− X)
2
2
+ ....... + (X
n −1
− X ) ]⎫⎪ ⎬ 2
n
1/ 2
⎪⎭
∑ [X n
σ =
i =1
i
−X
]
2
n −1
WאK٩
אא Wאא
V =
σ X
× 100
אאאאאאאאאא Kא
- ١١٦ -
אא
١٥٦
א
אא
א
Wאאאא٢{٤{٦ אאאאא Kאא
אאאאאא
WאאאאאאKא f cu
= f cm − tσ
W
Kאא:fcu
Kאא:fcm
Kfcuאאאאא:t KאאאאWσ
Kאאא٪٥tאE٧ J٦Fא
KאtW٧{٦ t
nאא
٢{١٠
١٢
١{٩٧
١٥
١{٨٤
٢٠
١{٧٥
٢٥
١{٧٠
٣٠
١{٦٤
٣٥
W٣٥אאאאא - ١١٧ -
אא
١٥٦
א
אא
א
f cu = f cm − 1.64σ KאאE١{٦٤σFאא
א،א
Kfcuאא٢L٨٥אfcm
W
אאאEfcmFאאא ٣٠٠Ffcuאאאאאאא٪٥
٢L٤٣אאE٢L
f cm
f cm = f cu + 1.64σ = 300 + 1.64 × 43 = 370 ٢L
Wא
Wאאאא א f cm = 300 + 85 = 385 ٢L
Wאא٣{٤{٦ אאאאאא
KEאF
- ١١٨ -
אא
١٥٦
א
אא
א
KאאאאאאW٨ J٦ KEVF א א
א
Kא
א
٥>
١٠ >
٧-٥
١٥ -١٠
١٠ - ٧
٢٠ – ١٥
١٠ <
٢٠ <
א
א
Wאא٤{٤{٦ Kאאאאאאא אאאאאא
אא،אאKא Kאאא
אאאאאאאאא
אאאאK٪٥אא K٪٥אא
אא،אאא٪٥ KאאEאFאKאא
W
אEא،אאא،אFאאא Kאא
א א אא אא (MPa) ٢٩ ٣٠ ٢٦
(MPa) ٢٣ ٢٥ ٢٨
4 ٥ ٦ - ١١٩ -
١ ٢ ٣
אא
١٥٦
א
אא
א
Wא
WאE١ X =
X 1 + X 2 + X 3 + ......... + X n 23 + 25 + 28 + 29 + 30 + 26 = = 26.83MPa n 6
WאאאE٢
[(
⎧⎪ X − X σ =⎨ 1 ⎪⎩
) + (X 2
)
2
2
(
− X + ....... + X n − X n −1
) ]⎫⎪⎬ 2
1/ 2
⎪⎭
[
]
⎧ (23 − 26.83)2 + (25 − 26.83)2 + (28 − 26.83)2 + (29 − 26.83)2 + (30 − 26.83)2 + (26 − 26.83)2 ⎫ σ =⎨ ⎬ 5 ⎩ ⎭
1/ 2
=
σ=
34.8334 = 6.96668 = 2.6394 MPa 5
V =
σ X
× 100 =
WאE٣
2.6394 × 100 = 9.837 p 10 26.83
Kאא - ١٢٠ -
אא
١٥٦
א
אא
א
W١
WאאאE١٥٠Fאאאאא א
א
١٠ ١٥ ٢٥ ٤٠ ٣٠ ٢٠ ١٠
٢٠ – ١٨ ٢٢ – ٢٠ ٢٤ – ٢٢ ٢٦ – ٢٤ ٢٨ – ٢٦ ٣٠ – ٢٨ ٣٢ – ٣٠
(N/mm2)
EאאF
W٢
אאאאאאא Kא
א אא (MPa) ٣٥ ٣٢ ٢٨ ٢٦ ٣٤
١ ٢ ٣ ٤ ٥
- ١٢١ -
אא
١٥٦
א
א
אא אKאאKאKאא،אא
K١
K١٩٩٠KאKא،א
K٢
K١٩٩٩KאאאKאK
K٣
K١٩٨٦KאאKא،אא
K٤
K١٩٩٢KאKא
K٥
K١٩٩٢KאאאKא
K٦
K٢٠٠٠Kא
7.
Neville A. M. and Brooks J. J. Concrete Technology. London, Longman, 1990.
8.
Neville A. M. Properties of Concrete. London, Longman, 1996.
9.
Pigeon M and Plean R. Durability of concrete in cold climates, Spon Press, 1995.
10. Maier. High Performance Concrete, Spon Press, 1992. 11. Soroka L, Concrete in Hot Environments, Spon Press, 1993. 12. Richardson. M. G. Fundamentals of durable reinforced concrete, Spon Press, 2002. 13. Illston J. M. and Domone P. L. J. Construction Materials, Spon Press, 2001. 14. ACI-committee 305R-77 (Revised 1982), Hot-weather concreting, Part 2, ACI Manual of Concrete Practice, 1984. 15. ACI-committee 306R-78, Cold-weather concreting, Part 2, ACI Manual of Concrete Practice, 1984. 16. Concrete Society, Concrete core testing for strength, technical Report No. 11, Cement and Concrete Association, London, 1976. 17. Sidney Mindess and Francis Young J. Concrete. Prentice Hall, 1981. 18. Bungey J. H. The Testing of Concrete in Structures, Surrey University Press, 1982.
אא
١٥٦
א
א
19. Concrete Society, Pumping Concrete, Report No. 1, Cement and Concrete Association, London, 1984. 20. Colin Deacon R. Concrete Ground Floors. Their design, construction and finish. Cement and Concrete Association, London, 1974. 21. Kosmatka S. H. and Panaresse W. C. Design and Control of Concrete Mixtures. Portland Cement Association, Illinois, 1994. 22. Shirley D. E. Introduction to Concrete. Cement and Concrete Association, London, 1984. 23. Kirkbride Tom. Review of Accelerated Curing Procedures. Cement and Concrete Association, London, 1971. 24. Concrete Society, Guide to Chemical Admixtures for Concrete, technical Report No. 18, Cement and Concrete Association, London, 1980. 25. Boukendakdji M. Mechanical Properties and Long-term Deformation of OPC and Slag Cement Concretes, PhD Thesis, Leeds University, 1990.
א
١٥٦
א
א
א ﻣﻘﺪﻣﺔ ﺗﻤﻬﻴﺪ اﻟﻮﺣﺪة اﻷوﻟﻰ :ﻣﺮاﺣﻞ اﻟﺨﺮﺳﺎﻧﺔ اﻟﻄﺮﻳﺔ ١ ................................................................................................................ .٢.١ﺧﻠﻂ اﻟﺨﺮﺳﺎﻧﺔ٢ ......................................................................................................................................... : .٣.١ﻧﻘﻞ اﻟﺨﺮﺳﺎﻧﺔ ٥ ............................................................................................................................................ .٤.١ﺿﺦ اﻟﺨﺮﺳﺎﻧﺔ ٧ .......................................................................................................................................... .٥.١ﺻﺐ اﻟﺨﺮﺳﺎﻧﺔ١٠ ...................................................................................................................................... : .٦.١دﻣﻚ اﻟﺨﺮﺳﺎﻧﺔ١٤ ....................................................................................................................................... : .٧.١ﺗﺸﻄﻴﺐ اﻟﺨﺮﺳﺎﻧﺔ١٨ ................................................................................................................................... : اﻟﻮﺣﺪة اﻟﺜﺎﻧﻴﺔ :ﻣﻌﺎﻟﺠﺔ اﻟﺨﺮﺳﺎﻧﺔ - ٢١ - ................................................................................................................... .٢.٢اﻟﻌﻮاﻣﻞ اﻟﻤﺆﺛﺮة ﻋﻠﻰ ﺗﺒﺨﺮ اﻟﻤﺎء- ٢٣ - ............................................................................................................ : ١.٣.٢ﻃﺮﻳﻘﺔ اﻟﻐﻤﺮ: .٢١.............................................................................................................................. ٢.٣.٢ﻃﺮﻳﻘﺔ ﻧﺜﺮ اﻟﻤﺎء٢١.......................................................................................................................... : ٣.٣.٢ﻃﺮﻳﻘﺔ اﻷﻏﻄﻴﺔ اﻟﻤﺒﻠﻠﺔ٢٢.................................................................................................................. : ٤.٢ﻃﺮﻳﻘﺔ ﺗﻐﻄﻴﺔ ﺳﻄﺢ اﻟﺨﺮﺳﺎﻧﺔ ﻟﻤﻨﻊ ﻓﻘﺪان اﻟﻤﺎء ﻓﻘﻂ.٢٢..........................................................................................: ١.٤.٢ﻃﺮﻳﻘﺔ اﻟﻮرق ﻏﻴﺮ اﻟﻨﻔﺎذ٢٢................................................................................................................ : ٢.٤.٢ﻃﺮﻳﻘﺔ اﻷﻟﻮاح اﻟﺒﻼﺳﺘﻴﻜﻴﺔ٢٣.............................................................................................................. : ٣.٤.٢اﻟﻤﺮآﺒﺎت اﻟﻜﻴﻤﻴﺎﺋﻴﺔ٢٤.......................................................................................................................: .٥.٢ﻣﺪة اﻟﻤﻌﺎﻟﺠﺔ- ٢٩ - ................................................................................................................................... : اﻟﻮﺣﺪة اﻟﺜﺎﻟﺜﺔ :ﻃﺮق اﻹﺳﺮاع ﻓﻲ اﻟﻤﻘﺎوﻣﺔ - ٣٢ - ....................................................................................................... .١.٣ﻣﻘﺪﻣﺔ - ٣٣ - .............................................................................................................................................. .٢.٣اﺳﺘﻌﻤﺎل اﻹﺳﻤﻨﺖ ﺳﺮﻳﻊ اﻟﺘﺼﻠﺪ- ٣٣ - ........................................................................................................... : .٣.٣اﺳﺘﻌﻤﺎل اﻟﻤﻮاد اﻟﻤﻀﺎﻓﺔ )ﻣﻌﺠﻼت اﻟﺘﺼﻠﺪ(- ٣٣ - ............................................................................................. : .٤.٣اﺳﺘﻌﻤﺎل اﻟﺤﺮارة٣١ ................................................................................................................................. : ٥.٣اﻟﻤﻌﺎﻟﺠﺔ ﺑﺎﻟﺒﺨﺎر ﺗﺤﺖ ﺿﻐﻂ ﺟﻮي ﻋﺎدي٣٢.................................................................................................... : ٦.٣اﻟﻤﻌﺎﻟﺠﺔ ﺑﺎﻟﺒﺨﺎر ﺗﺤﺖ ﺿﻐﻂ ﻋﺎﻟﻲ٣٧............................................................................................................ : اﻟﻮﺣﺪة اﻟﺮاﺑﻌﺔ :أﻋﻤﺎل اﻟﺨﺮﺳﺎﻧﺔ ﻓﻲ اﻟﻄﻘﺲ اﻟﺤﺎر- ٤٤ - .............................................................................................. .١.٤ﻣﻘﺪﻣﺔ - ٤٥ - ............................................................................................................................................. .٢.٤ﺗﺄﺛﻴﺮ درﺟﺔ اﻟﺤﺮارة- ٤٥ - .......................................................................................................................... : .٣.٤ﺗﺒﺮﻳﺪ ﻣﻮاد اﻟﺨﺮﺳﺎﻧﺔ- ٤٩ - .......................................................................................................................... : ١.٣.٤ﺗﺒﺮﻳﺪ اﻟﺮآﺎم: ٤٣................................................................................................................................ ٢.٣.٤ﺗﺒﺮﻳﺪ اﻟﻤﺎء.٤٤............................................................................................................................... : .٤.٤اﺣﺘﻴﺎﻃﺎت ﺣﻮل ﺻﻨﻊ اﻟﺨﺮﺳﺎﻧﺔ ﻓﻲ اﻟﻤﻨﺎﻃﻖ اﻟﺤﺎرة- ٥٣ - .....................................................................................: ١.٤.٤اﺳﺘﻌﻤﺎل إﺿﺎﻓﺎت ﻟﺘﺒﻄﺊ اﻟﺸﻚ٤٧........................................................................................................... .٥.٤ﺗﺸﻘﻖ اﻟﺨﺮﺳﺎﻧﺔ- ٥٥ - ................................................................................................................................ : .٦.٤ﺣﺮارة اﻹﻣﺎهﺔ- ٦١ - ................................................................................................................................. : .٧.٤اﻟﻮﻗﺎﻳﺔ واﻟﻤﻌﺎﻟﺠﺔ٥٢ .................................................................................................................................... : اﻟﻮﺣﺪة اﻟﺨﺎﻣﺴﺔ :أﻋﻤﺎل اﻟﺨﺮﺳﺎﻧﺔ ﻓﻲ اﻟﻄﻘﺲ اﻟﺒﺎرد - ٦٢ - ........................................................................................... .١.٥ﺗﺄﺛﻴﺮ اﻟﻄﻘﺲ اﻟﺒﺎرد- ٦٣ - ........................................................................................................................... : .٢.٥اﺣﺘﻴﺎﻃﺎت ﺣﻮل ﺻﻨﻊ اﻟﺨﺮﺳﺎﻧﺔ ﻓﻲ اﻟﻄﻘﺲ اﻟﺒﺎرد- ٦٣ - ...................................................................................... : .٣.٥ﻃﺮق اﻟﻮﻗﺎﻳﺔ و اﻟﻤﻌﺎﻟﺠﺔ- ٦٥ - ..................................................................................................................... : ١.٦ﺗﺼﻤﻴﻢ اﻟﺨﻠﻄﺎت اﻟﺨﺮﺳﺎﻧﻴﺔ٥٩....................................................................................................................... : .١.١.٦اﻟﻄﺮﻳﻘﺔ اﻟﻮﺿﻌﻴﺔ- ٧٠ - ........................................................................................................................ :
א
١٥٦
א
א
٣.١.٦ﻃﺮﻳﻘﺔ اﻟﺤﺠﻢ اﻟﻤﻄﻠﻖ: ٦١........................................................................................................................... ٤.١.٦ﻃﺮﻳﻘﺔ ﻣﻌﻬﺪ اﻟﺨﺮﺳﺎﻧﺔ اﻷﻣﺮﻳﻜﻲ٦٢...............................................................................................................: ٥.١.٦اﺳﺘﻌﻤﺎل ﺑﺮﻧﺎﻣﺞ ﺑﺎﻟﺤﺎﺳﺐ اﻵﻟﻲ٦٥............................................................................................................. .٥.٢.٦اﺧﺘﺒﺎر إﻋﺎدة اﻟﺘﺸﻜﻴﻞ )ﻓﻲ ﺑﻲ(٧٢............................................................................................................... : .٦.٢.٦اﺧﺘﺒﺎر اﻟﺪﻣﻚ: ٧٤...................................................................................................................................... .٣.٦اﺧﺘﺒﺎرات ﻋﻠﻰ اﻟﺨﺮﺳﺎﻧﺔ اﻟﻤﺘﺼﻠﺪة: ٧٧............................................................................................................... .١.٣.٦اﺧﺘﺒﺎر ﻣﻘﺎوﻣﺔ اﻟﻀﻐﻂ٧٧.......................................................................................................................... : ٢.٣.٦اﺧﺘﺒﺎر ﻧﻔﺎذﻳﺔ اﻟﺨﺮﺳﺎﻧﺔ ﻟﻠﻤﺎء: ٨٠................................................................................................................... .٣.٣.٦اﺧﺘﺒﺎر اﻻﻧﻔﻼق: .٨٢.................................................................................................................................. .٤.٣.٦اﺧﺘﺒﺎر اﻟﺸﺪ ﺑﺎﻻﻧﺤﻨﺎء: ٨٤............................................................................................................................ .٥.٣.٦اﺧﺘﺒﺎر اﻟﻘﻠﻊ٨٧....................................................................................................................................... : .٦.٣.٦ﺗﺤﺪﻳﺪ ﺣﺪﻳﺪ اﻟﺘﺴﻠﻴﺢ داﺧﻞ اﻟﺨﺮﺳﺎﻧﺔ اﻟﻤﺴﻠﺤﺔ )اﺳﺘﻌﻤﺎل اﻟﻜﻮﻓﺮﻣﻴﺘﺮ(٨٨....................................................................: ٧.٣.٦اﺧﺘﺒﺎر ﺳﺮﻋﺔ اﻟﻤﻮﺟﺎت ﻓﻮق اﻟﺼﻮﺗﻴﺔ ٨٩......................................................................................................... ٨.٣.٦اﺧﺘﺒﺎرات ﻣﻘﺎوﻣﺔ ﺳﻄﺢ اﻟﺨﺮﺳﺎﻧﺔ ﺑﻮاﺳﻄﺔ ﻣﻄﺮﻗﺔ ﺷﻤﻴﺪت ٩٢................................................................................ ٤.٦اﻟﻄﺮق اﻹﺣﺼﺎﺋﻴﺔ ﻟﺪراﺳﺔ اﻟﻨﺘﺎﺋﺞ ﻋﻠﻰ اﻻﺧﺘﺒﺎرات٩٤.......................................................................................... : .١.٤.٦اﻟﺘﺤﻠﻴﻞ اﻹﺣﺼﺎﺋﻲ ﻟﻠﺒﻴﺎﻧﺎت٩٤.................................................................................................................... : .٢.٤.٦اﻟﻤﻘﺎوﻣﺔ اﻟﻤﺘﻮﺳﻄﺔ واﻟﻤﻘﺎوﻣﺔ اﻟﻤﻤﻴﺰة٩٨....................................................................................................... : ٣.٤.٦ﻣﺴﺘﻮﻳﺎت اﻟﺘﺤﻜﻢ ﻓﻲ اﻟﺠﻮدة.٩٩.................................................................................................................... : ٤.٤.٦اﻟﺤﻜﻢ ﻋﻠﻰ ﺻﻼﺣﻴﺔ ﺧﺮﺳﺎﻧﺔ١٠٠................................................................................................................. : اﻟﻤﺮاﺟﻊ١٠٢.................................................................................................................................................. :