板模板(扣件式)计算书
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板模板(扣件式)计算书计算依据:
1、《建筑施工模板安全技术规范》JGJ162-2008
2、《混凝土结构设计规范》GB 50010-2010
3、《建筑结构荷载规范》GB 50009-2012
4、《钢结构设计规范》GB 50017-2003
一、工程属性
模板设计平面图
模板设计剖面图(模板支架纵向)
模板设计剖面图(模板支架横向)
四、面板验算
W=bh2/6=1000×15×15/6=37500mm3,I=bh3/12=1000×15×15×15/12=281250mm4
承载能力极限状态
q1=0.9×max[1.2(G1k+(G2k+G3k)×h)+1.4×Q1k,1.35(G1k +(G2k+G3k)×h)+1.4×0.7×Q1k]×b=0.9×max[1.2×(0.1+(24+1.1)×0.12)+1.4×2.5,1.35×(0.1+(24+1.1)×0.12)+1.4×0.7×2.5] ×1=6.511kN/m
q1静=0.9×[γG(G1k+(G2k+G3k)×h)×b] = 0.9×[1.2×(0.1+(24+1.1)×0.12)×1]=3.361kN/m
q1活=0.9×(γQ Q1k)×b=0.9×(1.4×2.5)×1=3.15kN/m
q2=0.9×1.2×G1k×b=0.9×1.2×0.1×1=0.108kN/m
p=0.9×1.4×Q1k=0.9×1.4×2.5=3.15kN
正常使用极限状态
q=(γG(G1k +(G2k+G3k)×h))×b =(1×(0.1+(24+1.1)×0.12))×1=3.112kN/m
计算简图如下:
1、强度验算
M1=0.1q1静L2+0.117q1活L2=0.1×3.361×0.32+0.117×3.15×0.32=0.063kN·m
M2=max[0.08q2L2+0.213pL,0.1q2L2+0.175pL]=max[0.08×0.108×0.32+0.213×3.15×0.3,0.1×0.108×0.32+0.175×3.15×0.3]=0.202kN·m M max=max[M1,M2]=max[0.063,0.202]=0.202kN·m
σ=M max/W=0.202×106/37500=5.388N/mm2≤[f]=15N/mm2
满足要求!
2、挠度验算
νmax=0.677ql4/(100EI)=0.677×3.112×3004/(100×10000×281250)=0.061mm
ν=0.061mm≤[ν]=L/400=300/400=0.75mm
满足要求!
五、小梁验算
11k2k3k1k1k +(G2k+G3k)×h)+1.4×0.7×Q1k]×b=0.9×max[1.2×(0.3+(24+1.1)×0.12)+1.4×2.5,1.35×(0.3+(24+1.1)×0.12)+1.4×0.7×2.5]×0.3=2.018kN/m
因此,q1静=0.9×1.2×(G1k +(G2k+G3k)×h)×b=0.9×1.2×(0.3+(24+1.1)×0.12)×0.3=1.073kN/m
q1活=0.9×1.4×Q1k×b=0.9×1.4×2.5×0.3=0.945kN/m
q2=0.9×1.2×G1k×b=0.9×1.2×0.3×0.3=0.097kN/m
p=0.9×1.4×Q1k=0.9×1.4×2.5=3.15kN
计算简图如下:
1、强度验算
M1=0.125q1静L2+0.125q1活L2=0.125×1.073×0.92+0.125×0.945×0.92=0.204kN·m M2=max[0.07q2L2+0.203pL,0.125q2L2+0.188pL]=max[0.07×0.097×0.92+0.203×3.15×0.9,0.125×0.097×0.92+0.188×3.15×0.9]=
0.581kN·m
M3=max[q1L12/2,q2L12/2+pL1]=max[2.018×0.252/2,0.097×0.252/2+3.15×0.25]=0.791kN·m
M max=max[M1,M2,M3]=max[0.204,0.581,0.791]=0.791kN·m
σ=M max/W=0.791×106/64000=12.352N/mm2≤[f]=15.44N/mm2
满足要求!
2、抗剪验算
V1=0.625q1静L+0.625q1活L=0.625×1.073×0.9+0.625×0.945×0.9=1.135kN
V2=0.625q2L+0.688p=0.625×0.097×0.9+0.688×3.15=2.222kN
V3=max[q1L1,q2L1+p]=max[2.018×0.25,0.097×0.25+3.15]=3.174kN
V max=max[V1,V2,V3]=max[1.135,2.222,3.174]=3.174kN
τmax=3V max/(2bh0)=3×3.174×1000/(2×60×80)=0.992N/mm2≤[τ]=1.78N/mm2
满足要求!
3、挠度验算
q=(γG(G1k +(G2k+G3k)×h))×b=(1×(0.3+(24+1.1)×0.12))×0.3=0.994kN/m
挠度,跨中νmax=0.521qL4/(100EI)=0.521×0.994×9004/(100×9350×256×104)=0.142mm≤[ν]=L/400=900/400=2.25mm;
悬臂端νmax=ql14/(8EI)=0.994×2504/(8×9350×256×104)=0.02mm≤[ν]=2×l1/400=2×250/400=1.25mm
满足要求!
六、主梁验算