矩矩矩矩矩矩矩矩矩计计计计计
1计计计计计计计计计计计计计计计计计计计JGJ/T187-2009 2计计计计计计计计计计计计GB50010-2010
3计计计计计计计计计计计计计GB50007-2011
矩矩矩矩矩矩
矩矩矩矩矩矩
计计计计计计计计1矩矩矩矩矩矩矩矩矩矩
2矩矩矩矩矩矩矩ωk(kN/m2)
3矩矩矩矩矩矩矩矩矩矩矩矩矩
4矩矩矩矩矩矩矩矩矩矩矩矩矩
矩矩矩矩矩矩
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G k=blhγc=6×6×1.35×25=1215kN
计计计计计计计计计计计计计计计G=1.2G k=1.2×1215=1458kN
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M k''=G1R G1+G2R Qmax-G3R G3-G4R G4+0.9×(M2+0.5F vk H/1.2)
=60.7×29+3.5×3-34.6×6-183×12+0.9×(1134+0.5×21.42×45/1.2)
=749.26kN·m
F vk''=F vk/1.2=21.42/1.2=17.85kN
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M''=1.2×(G1R G1+G2R Qmax-G3R G3-G4R G4)+1.4×0.9×(M2+0.5F vk H/1.2) =1.2×60.7×29+3.5×3-34.6×6-183×12)+1.4×0.9×(1134+0.5×21.42×45/1.2) =1175.53kN·m
F v''=F v/1.2=29.99/1.2=24.99kN
计计计计计计l/b=6/6=1≤1.1计计计计计计计计计计计计计
W x=lb2/6=6×62/6=36m3
W y=bl2/6=6×62/6=36m3
计计计计计计计计计计计计计计计计计计计计X计Y计计计计计计计计M kx=M k b/(b2+l2)0.5=821.56×6/(62+62)0.5=580.93kN·m
M ky=M k l/(b2+l2)0.5=821.56×6/(62+62)0.5=580.93kN·m
1矩矩矩矩矩矩
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P kmin=(F k+G k)/A-M kx/W x-M ky/W y
=(741.8+1215)/36-580.93/36-580.93/36=22.08kPa≥0
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2矩矩矩矩矩矩矩矩矩
P kmin=22.08kPa
P kmax=(F k+G k)/A+M kx/W x+M ky/W y
=(741.8+1215)/36+580.93/36+580.93/36=86.63kPa
3矩矩矩矩矩矩矩矩矩矩矩
P k=(F k+G k)/(lb)=(741.8+1215)/(6×6)=54.36kN/m2
4矩矩矩矩矩矩矩矩矩
(1)计计计计计计计计计计计计
f a=f ak+ηbγ(b-3)+ηdγm(d-0.5)
=150.00+2.00×19.00×(6.00-3)+3.00×19.00×(20.00-0.5)=1375.50kPa
(2)计计计计计计计计计计计计计
P k=54.36kPa≤f a=1375.5kPa
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(3)计计计计计计计计计计计计计
P kmax=86.63kPa≤1.2f a=1.2×1375.5=1650.6kPa
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5矩矩矩矩矩矩矩
计计计计计计计h0=h-δ=1350-(50+22/2)=1289mm
X计计计计计计计
P xmin=γ(F k/A-(M k''+F vk''h)/W x)=1.35×(741.800/36.000-(749.263+17.850×1.350)/36.000) =-1.184kN/m2
P xmax=γ(F k/A+(M k''+F vk''h)/W x)=1.35×(741.800/36.000+(749.263+17.850×1.350)/36.000 )=56.819kN/m2
计计P xmin=0,计计计计计计
P1x=((b+B)/2)P xmax/b=((6.000+1.700)/2)×56.819/6.000=36.459kN/m2
P ymin=γ(F k/A-(M k''+F vk''h)/W y)=1.35×(741.800/36.000-(749.263+17.850×1.350)/36.000) =-1.184kN/m2
P ymax=γ(F k/A+(M k''+F vk''h)/W y)=1.35×(741.800/36.000+(749.263+17.850×1.350)/36.000 )=56.819kN/m2
计计P ymin=0,计计计计计计
P1y=((l+B)/2)P ymax/l=((6.000+1.700)/2)×56.819/6.000=36.459kN/m2
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p x=(P xmax+P1x)/2=(56.82+36.46)/2=46.64kN/m2
p y=(P ymax+P1y)/2=(56.82+36.46)/2=46.64kPa
计计计计计计计
V x=|p x|(b-B)l/2=46.64×(6-1.7)×6/2=601.64kN
V y=|p y|(l-B)b/2=46.64×(6-1.7)×6/2=601.64kN
X计计计计计计
h0/l=1289/6000=0.21≤4
0.25βc f c lh0=0.25×1×16.7×6000×1289=32289.45kN≥V x=601.64kN
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Y计计计计计计
h0/b=1289/6000=0.21≤4
0.25βc f c bh0=0.25×1×16.7×6000×1289=32289.45kN≥V y=601.64kN
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矩矩矩矩矩矩矩矩
1矩矩矩矩矩矩矩
M计=(b-B)2p x l/8=(6-1.7)2×46.64×6/8=646.76kN·m
计计Y计计计计
M计=(l-B)2p y b/8=(6-1.7)2×46.64×6/8=646.76kN·m
2矩矩矩矩矩矩矩
(1)计计计计计计计计计
αS1=|M计|/(α1f c bh02)=646.76×106/(1×16.7×6000×12892)=0.004
ζ1=1-(1-2αS1)0.5=1-(1-2×0.004)0.5=0.004
γS1=1-ζ1/2=1-0.004/2=0.998
A S1=|M计|/(γS1h0f y1)=646.76×106/(0.998×1289×360)=1396mm2
计计计计计计计计A1=max(1396计ρbh0)=max(1396计0.0015×6000×1289)=11601mm2计计计计计计计计计计A s1'=13790mm2≥A1=11601mm2
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(2)计计计计计计计计计
αS2=|M计|/(α1f c lh02)=646.76×106/(1×16.7×6000×12892)=0.004
ζ2=1-(1-2αS2)0.5=1-(1-2×0.004)0.5=0.004
γS2=1-ζ2/2=1-0.004/2=0.998
A S2=|M计|/(γS2h0f y2)=646.76×106/(0.998×1289×360)=1396mm2
计计计计计计计计A2=max(1396计ρlh0)=max(1396计0.0015×6000×1289)=11601mm2计计计计计计计计计计A S2'=13790mm2≥A2=11601mm2
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(3)计计计计计计计计计
计计计计计计计计计计A S3'=13790mm2≥0.5A S1'=0.5×13790=6895mm2
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(4)计计计计计计计计计
计计计计计计计计计计A S4'=13790mm2≥0.5A S2'=0.5×13790=6895mm2
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(5)计计计计计计计计计计计计
计计计计计计计计计计Φ10@500计
矩矩矩矩矩矩矩
计计计计计计计计计。