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Marek ŽÁoEK
a) VýpoËet zatížení sloupu nad základovou patkou tloušņka [m] 1 StĖešní deska
stálé
násyp ĖíÏního kameniva
objem. tíha [kN/m3]
char.zat. [kN/m2]
1,19
0,0700
17,00
hydroizolaÏní folie
0,0030
12,00
0,04
0,05
minerální vlna
0,2200
1,40
0,31
0,42
hydroizolaÏní folie
0,0030
12,00
0,04
0,05
ŽB deska
0,3000
25,00
7,50
10,13
Ŧ
9,07
12,24
char.zat. [kN/m2]
promÝnné snÝhová oblast - I tvarový souÏinitel
0,8000
souÏinitel expozice
1,0000
tepelný souÏinitel
1,0000 0,56
0,84
užitné
0,75
1,13
1,31
1,97
10,38
14,21
char.zat. [kN]
od stĖechy
2
z.p. [m ] objem [m3]
vlastní
2,3970
48,47 objem. tíha [kN/m3]
439,62 char.zat. [kN]
promÝnné od stĖechy
2
z.p. [m ]
marmoleum
593,49 návrh. zat. [kN]
59,93
80,90
Ŧ
499,55
674,39
48,47
celkem tloušņka [m]
návrh. zat. [kN]
25,00
char.zat. [kN]
3 Strop pod depozitáĖem stálé
návrh. zat. [kN/m2]
zatížení snÝhem
celkem
stálé
1,61
0,7000 [kN/m2]
Ŧ
2 Sloup pod stĖechou
návrh. zat. [kN/m2]
objem. tíha [kN/m3]
návrh. zat. [kN]
63,50
95,24
563,04
769,63
char.zat. [kN/m2]
návrh. zat. [kN/m2]
0,0035
12,00
0,04
0,06
vyrovnávací stÝrka
0,0030
22,00
0,07
0,09
betonová mazanina
0,0530
24,00
1,27
1,72
separaÏní folie
0,0020
12,00
0,02
0,03
desky minerální vlny
0,0400
1,60
0,06
0,09
ŽB deska
0,3000
25,00
7,50
10,13
Ŧ
8,97
12,11
Pražské archeologické muzeum Tĵšnov
Marek ŽÁoEK char.zat. [kN/m2]
promÝnné užitné celkem
7,50
11,25
16,47
23,36
char.zat. [kN] 4 Sloup pod depozitáĖem stálé
od desky
2
z.p. [m ] objem [m3]
vlastní
2,3970
48,47 objem. tíha [kN/m3]
434,68 char.zat. [kN]
promÝnné od desky
z.p. [m ]
5 Strop pod sálem
stálé
59,93
80,90 667,72
48,47
objem. tíha [kN/m3]
363,53
545,29
858,13
1213,00
char.zat. [kN/m2]
návrh. zat. [kN/m2]
0,0035
12,00
0,04
0,06
vyrovnávací stÝrka
0,0030
22,00
0,07
0,09
betonová mazanina
0,0530
24,00
1,27
1,72
separaÏní folie
0,0020
12,00
0,02
0,03
desky minerální vlny
0,0400
1,60
0,06
0,09
ŽB deska
0,3000
25,00
7,50
10,13
Ŧ
8,97
12,11
celkem
od desky
2
z.p. [m ] objem [m3]
vlastní
3,3970
48,47 objem. tíha [kN/m3]
6,00
12,97
18,11
434,68 char.zat. [kN]
promÝnné od desky
z.p. [m ]
návrh. zat. [kN]
586,82 návrh. zat. [kN]
25,00
84,93
114,65
Ŧ
519,60
701,47
char.zat. [kN] 2
návrh. zat. [kN/m2]
4,00
char.zat. [kN]
celkem
návrh. zat. [kN]
marmoleum
promÝnné užitné
stálé
návrh. zat. [kN]
494,60
char.zat. [kN/m2]
6 Sloup pod sálem
586,82
Ŧ
celkem tloušņka [m]
návrh. zat. [kN]
25,00
char.zat. [kN] 2
návrh. zat. [kN/m2]
48,47
návrh. zat. [kN]
193,88
290,82
713,48
992,29
Pražské archeologické muzeum Tĵšnov
Marek ŽÁoEK tloušņka [m]
7 Strop pod expozicí
stálé
marmoleum
0,0035
objem. tíha [kN/m3]
12,00
0,3000
0,06
0,55
0,74
25,00
7,50
10,13
Ŧ
8,09
10,92
char.zat. [kN/m2]
promÝnné užitné celkem
8 Sloup pod expozicí
stálé
od desky
z.p. [m ] objem [m3]
vlastní
3,3970
48,47 objem. tíha [kN/m3]
7,50
13,09
18,42
392,22 char.zat. [kN]
promÝnné od desky
z.p. [m ]
9 Strop pod garážemi
stálé
84,93
114,65 644,14
48,47
objem. tíha [kN/m3]
242,35
363,53
719,49
1007,67
char.zat. [kN/m2]
návrh. zat. [kN/m2]
0,0030
10,00
0,03
ŽB deska
0,3000
25,00
7,50
10,13
Ŧ
7,53
10,17
celkem
od desky
2
z.p. [m ] objem [m3]
vlastní
2,5220
48,47 objem. tíha [kN/m3]
promÝnné od desky
z.p. [m ]
návrh. zat. [kN/m2]
3,75
10,03
13,92
364,98 char.zat. [kN]
návrh. zat. [kN]
492,72 návrh. zat. [kN]
25,00
63,05
85,12
Ŧ
428,03
577,84
char.zat. [kN] 2
0,04
2,50
char.zat. [kN]
celkem
návrh. zat. [kN]
PUR stÝrka
promÝnné užitné
stálé
návrh. zat. [kN]
477,14
char.zat. [kN/m2]
10 Sloup pod garážemi
529,50
Ŧ
celkem tloušņka [m]
návrh. zat. [kN]
25,00
char.zat. [kN] 2
návrh. zat. [kN/m2]
5,00
char.zat. [kN] 2
návrh. zat. [kN/m2]
0,04
dutinová podlaha ŽB deska
char.zat. [kN/m2]
48,47
návrh. zat. [kN]
121,18
181,76
549,20
759,60
Pražské archeologické muzeum Tĵšnov
Marek ŽÁoEK char.zat. [kN]
13 Zatížení nad patkou
stálé
poĐet
char.zat. [kN]
stĖecha
499,5479
×1
499,55
674,39
depozitáĖ
494,6040
×4
1978,42
2670,86
sál
519,6040
×1
519,60
701,47
expozice
477,1442
×1
477,14
644,14
garáže
428,0291
×1
428,03
577,84
3902,74
5268,70
Ŧ char.zat. [kN]
promÝnné stĖecha
poĐet
char.zat. [kN]
63,4957
×1
63,50
85,72
363,5250
×4
1454,10
1963,04
sál
193,8800
×1
193,88
261,74
expozice
242,3500
×1
242,35
327,17
garáže
121,1750
×1
121,18
163,59
2075,00
2801,25
5977,74
8069,95
celkem b) Dimenzování výztuže sloupu Nsd = 8070 kN = 8,07 MN sloup 500×500 mm = 0,5×0,5 m beton C30/37 (fck = 30 MPa) ocel B500 (fyk = 500 MPa)
Ȗm = 1,5 Ȗm = 1,15
fcd = 20 MPa fyd = 434,78 MPa
výpoËet plochy výztuže
Nsd = 0,8 × Ac × fcd + As × fyd Nsd - 0,8 × Ac × fcd = As × fyd As = (Nsd - 0,8 × Ac × fcd) / fyd = (8,07 – 0,8 × 0,25 × 20) / 434,78 = 0,0092 m2 b.2)
návrh výztuže
12 profilŢ Ø32 mm -> Asn = 0,0096 m2 b.3)
ovÔŒení stupnÔ vytužení
0,003×Ac œ Asn œ 0,08×Ac 0,003 × 0,25 œ Asn œ 0,08 × 0,25 0,00075 œ 0,0096 œ 0,02 b.4)
vyhovuje
ovÔŒení únosnosti
Nrd = 0,8 × Ac × fcd + Asn × fyd Nrd = 0,8 × 0,25 × 20 + 0,0096 × 434,78 = 8,17 MN
> 8,07 MN
Nrd > Nsd b.5)
návrh. zat. [kN]
depozitáĖ
Ŧ
b.1)
návrh. zat. [kN]
Je navržena výztuž z 12 profilŢ Ø32mm.
3UDũVNÒ DUFKHRORJLFNÒ PX]HXP 7ĵxQRY
Marek ½do(.
F.03.01 – 32½d51x %(=3(o12671 ¢(¦(1 7(&+1,&.d =35d9$ a)
3RSLV D XPķVWÔQķ VWDYE\ D MHMķFK REMHNWŢ ĆHxHQÚ REMHNW MH QRYRVWDYED EXGRY\ DUFKHRORJLFNÆKR PX]HD V YÚVWDYQÊPL SURVWRU\ RGERUQÚPL SUDFRYLxWL GHSR]LW¾ŦHP VEÊUHN D GRSOŚNRYÚPL SURVWRU\ SUR Q¾YxWĵYQÊN\ a SURYR] PX]HD 7\WR MVRX XPÊVWĵQ\ Y QDG]HPQÊFK SRGOD{ÊFK Y VXWHUÆQX MVRX SRG]HPQÊ JDU¾{H SURVWRU\ EH] WUYDOÆKR SRE\WX RVRE %XGRYD MH UR]GĵOHQD QD GYĵ Ħ¾VWL Y\xxÊ – QS S Y P QL{xÊ – QS S Y P SURSRMHQÆ ]DVWŦHxHQÚP DWULHP 6SROHĦQ¾ SRG]HPQÊ SRGQR{ P¾ SS .RQVWUXNFH REMHNWX MH QDYU{HQD MDNR PRQROLWLFNÚ {HOH]REHWRQRYÚ V\VWÆP RERXVPĵUQÚ NRPELQRYDQÚ V QRVQÚPL VORXS\ VWĵQDPL D M¾GU\ )DV¾GD MH QD Ħ¾VWL REMHNWX VNO¾GDQÚ QHNRQWDNWQÊ SO¾xŰ V YĵWUDQRX PH]HURX D RENODGHP NDPHQQÚPL GHVNDPL QD Ħ¾VWL REMHNWX SŦHY¾{Qĵ SURVNOHQÚ OHKNÚ SO¾xŰ
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3UDũVNÒ DUFKHRORJLFNÒ PX]HXP 7ĵxQRY
Marek ½do(.
'¾OH MVRX VDPRVWDWQÚPL 3· SŦHGQ¾xNRYÚ V¾O V¾O NU¾WNRGREÚFK H[SR]LF UHVWDXUDĦQÊ NXFK\Ś PDQLSXODĦQÊ GHSR]LW¾Ŧ ]¾VRERYDFÊ GYƀU MHGQRWOLYÆ VWURMRYQ\ D SRG]HPQÊ JDU¾{H 3R{¾UQÊ ×VHN\ MVRX RGGĵOHQ\ PRQROLWLFNÚPL {HOH]REHWRQRYÚPL D QHER ]GĵQÚPL VWĵQDPL 6NOHQĵQÆ GĵOÊFÊ SŦÊĦN\ VSOŚXMÊ SŦÊVOXxQÆ SR{DGDYN\ 9]KOHGHP N SŦÊWRPQRVWL 6+= QHMVRX QH]E\WQÆ GĵOÊFÊ SUXK\ QD IDV¾Gĵ
F
VťSRËHW SRũÀUQķKR UL]LND D VWDQRYHQķ VWXSQÔ SRũÀUQķ EH]SHËQRVWL PÚ-4- – H[SR]LËQķ VÀO SORFKD SORFKD RNHQ SQ SV aQ aV
P P NJ P NJ P
D S Q ×a Q S V ×a V S Q S V ´ ´ 1,12 1,44 E 6´N 6 R ´ťK R ´ ´ť F F Y REODVWL +
F – VQÊ{HQÊ YOLYHP 66+= R - F – VQÊ{HQÊ YOLYHP + R -> 0,18 S Y S Q S V ´ D ´ E ´ F ´ ´ ´
19,6 kg/m2
NRQVWUXNFH QHKRŦODY¾ SR{¾UQÊ YÚxND GR P RSTODľ ONţēQMı ADYODĜMNRSH ŕRDJT
III
PÚ-4- – GHSR]LWÀŒ 3¯-4- – GHSR]LWÀŒ SORFKD SORFKD RNHQ SQ SV aQ aV
D
P P NJ P NJ P
D S Q ×a Q S V ×a V S Q S V ´ + ´ E N ´ťK V ´ť - PD[LP¾OQĵ F F Y REODVWL +
F F – VQÊ{HQÊ YOLYHP + R ->
1,08 1,7
S Y S Q S V ´ D ´ E ´ F ´ ´ 7 ´ =
60 kg/m2
NRQVWUXNFH QHKRŦODY¾ SR{¾UQÊ YÚxND GR P
0,35
3UDũVNÒ DUFKHRORJLFNÒ PX]HXP 7ĵxQRY RSTODľ ONţēQMı ADYODĜMNRSH ŕRDJT
Marek ½do(. IV
PÚ-4-0 – SUDFRYQ\ SORFKD SORFKD RNHQ SQ SV aQ aV
7
P P NJ P NJ P
D S Q ×a Q S V ×a V S Q S V ´ ´ + 1,01 0,82 E 6´N 6 R ´ťK R ´ ´ť F 7 F Y REODVWL +
F F 6 – VQÊ{HQÊ YOLYHP + R -> 0,325
G
S Y S Q S V ´ D ´ E ´ F + ´ × ´ =
10,76 kg/m2
NRQVWUXNFH QHKRŦODY¾ SR{¾UQÊ YÚxND GR P RSTODľ ONţēQMı ADYODĜMNRSH ŕRDJT
II
SWDQRYHQķ SRũÀUQķ RGROQRVWL VWDYHEQķFK NRQVWUXNFķ YÚSRĦWHP SR{DGRYDQ¾ SR{¾UQÊ RGROQRVW VWDYHEQÊFK NRQVWUXNFÊ PÚ- - 6%3 ,,, RGROQRVW PLQ PLQXW NRQVWUXNFH '3 PÚ- - 63% ,9 RGROQRVW PLQ PLQXW NRQVWUXNFH '3 PÚ- - 63% ,9 RGROQRVW PLQ PLQXW NRQVWUXNFH '3 PÚ- - 63% ,, RGROQRVW PLQ PLQXW NRQVWUXNFH '3 SR{¾UQÊ RGROQRVWL QDYU{HQÚFK NRQVWUXNFÊ SR{¾UQÊ QRVQ¾ VWĵQD PRQROLWLFN¾ n% VWĵQD WO PP QRVQÚ VORXS PRQROLWLFNÚ n% VORXS ´ PP SR{¾UQÊ VWURS PRQROLWLFN¾ n% GHVND WO PP
PLQXW PLQXW PLQXW
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H
(YDNXDFH VWDQRYHQķ GUXKX D NDSDFLW\ ŜQLNRYťFK FHVW SRËHW D XPķVWÔQķ SRũÀUQķFK YťWDKŢ V RERX QDG]HPQÊFK Ħ¾VWHFK MVRX XPÊVWĵQD Y{G\ GYĵ HYDNXDĦQÊ VFKRGLxWĵ V SDUDPHWU\ FKU¾QĵQÆ ×QLNRYÆ FHVW\ W\SX % D HYDNXDĦQÊ YÚWDK V SŦHGVÊQÊ 9ĵWU¾QÊ ×QLNRYÚFK FHVW MH ]DMLxWĵQR XPĵOH SŦHWODNRYĵ VH ]DMLxWĵQÊP SR{DGRYDQÆKR YĵWUDFÊKR YÚNRQX ·QLNRY¾ VFKRGLxWĵ PDMÊ xÊŦNX GYRX SUƀFKR]ÊFK SUXKƀ HYDNXDĦQÊ YÚWDK MH X]SƀVREHQ SUR SŦHSUDYX RVRE VH VQÊ{HQRX PR{QRVWÊ SRK\EX D RULHQWDFH
3UDũVNÒ DUFKHRORJLFNÒ PX]HXP 7ĵxQRY
Marek ½do(.
'ÆOND QHFKU¾QĵQÚFK ×QLNRYÚFK FHVW D GLPHQ]RY¾QÊ FKU¾QĵQÚFK ×QLNRYÚFK FHVW MVRX Y VRXODGX V SR{DGDYN\ SŦÊVOXxQÚFK SŦHGSLVƀ D QRUHP 3ORFK\ FKU¾QĵQÚFK ×QLNRYÚFK FHVW Y MHGQRWOLYÚFK SDWUHFK VSOŚXMÊ SR{DGDYN\ QD U\FKORVW HYDNXDFH SUR Q¾YUKRYÆ REVD]HQÊ RVREDPL
f)
V\PH]HQķ SRũÀUQÔ QHEH]SHËQÒKR SURVWRUX YťSRËHW RGVWXSRYťFK Y]GÀOHQRVWķ 9]KOHGHP N FKDUDNWHUX QRVQÚFK D REYRGRYÚFK NRQVWUXNFÊ PDWHUL¾O\ WŦÊG\ $ REYRGRYÚ SO¾xŰ '3 SORxQĵ LQVWDORYDQ¾ 6+= SURVWRU DWULD EH] SR{¾UQÊKR ]DWÊ{HQÊ VSOŚXMH SO¾xŰ EXGRY\ YODVWQRVWL SR{¾UQĵ QHRWHYŦHQÆ SORFK\ D QHQÊ WŦHED GLPHQ]RYDW RGVWXSRYÆ Y]G¾OHQRVWL D SR{¾UQĵ QHEH]SHĦQÚ SURVWRU
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ZSŢVRE ]DEH]SHËHQķ VWDYE\ SRũÀUQķ YRGRX QHER MLQťPL KDVHEQķPL OÀWNDPL 9RGD SUR KDxHQÊ EXGH ĦHUS¾QD ] YQĵMxÊFK K\GUDQWƀ 1¾GU{ SUR 6+= MH XPÊVWĵQD YH VSULQNOHURYQĵ YH VWURMRYQ¾FK Y SS 9]KOHGHP N SŦÊWRPQRVWL 6+= QHMVRX QDYU{HQ\ YQLWŦQÊ K\GUDQW\
K
SWDQRYHQķ SRËWX GUXKX D UR]PķVWÔQķ KDVLFķFK SŒķVWURMŢ 9H YxHFK SURVWRUHFK PLPR WĵFK EH] SR{¾UQÊKR UL]LND MH LQVWDORY¾QR 66+= SŦÊVOXxQÆKR W\SX NRRUGLQRYDQÆ V (36 3ŦHQRVQÆ KDVLFÊ SŦÊVWURMH MVRX XPÊVWĵQ\ Y SŦHGVÊQÊFK ×QLNRYÚFK FHVW D PÊVWQRVWHFK V Y\xxÊP SR{¾UQÊP UL]LNHP NXFK\Qĵ VWURMRYQ\ GHSR]LW¾ŦH
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N
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