梁模板(扣件式)计算书计算依据:1、《建筑施工模板安全技术规范》JGJ162-20082、《建筑施工扣件式钢管脚手架安全技术规范》JGJ 130-20113、《混凝土结构设计规范》GB50010-20104、《建筑结构荷载规范》GB 50009-20125、《钢结构设计规范》GB 50017-2003一、工程属性二、荷载设计平面图立面图四、面板验算面板类型覆面木胶合板面板厚度(mm) 12面板抗弯强度设计值[f](N/mm2) 15 面板弹性模量E(N/mm2) 10000W=bh2/6=1000×12×12/6=24000mm3,I=bh3/12=1000×12×12×12/12=144000mm4q1=γ0×max[1.2(G1k+(G2k+G3k)×h)+1.4Q2k,1.35(G1k+(G2k+G3k)×h)+1.4ψc Q2k]×b=0.9×max[1.2×(0.1+(24+1.5)×0.9)+1.4×2,1.35×(0.1+(24+1.5)×0.9)+1.4×0.7×2]×1=29.77kN/mq1静=0.9×1.35×[G1k+(G2k+G3k)×h]×b=0.9×1.35×[0.1+(24+1.5)×0.9]×1=28.006kN/mq1活=0.9×1.4×0.7×Q2k×b=0.9×1.4×0.7×2×1=1.764kN/mq2=[G1k+(G2k+G3k)×h]×b=[0.1+(24+1.5)×0.9]×1=23.05kN/m1、强度验算M max=0.125q1L2=0.125q1l2=0.125×29.77×0.22=0.149kN·mσ=M max/W=0.149×106/24000=6.202N/mm2≤[f]=15N/mm2满足要求!2、挠度验算νmax=0.521q2L4/(100EI)=0.521×23.05×2004/(100×10000×144000)=0.133mm≤[ν]=l/250=200/250=0.8mm满足要求!3、支座反力计算设计值(承载能力极限状态)R1=R3=0.375 q1静l +0.437 q1活l=0.375×28.006×0.2+0.437×1.764×0.2=2.255kN R2=1.25q1l=1.25×29.77×0.2=7.442kN标准值(正常使用极限状态)R1'=R3'=0.375 q2l=0.375×23.05×0.2=1.729kNR2'=1.25q2l=1.25×23.05×0.2=5.763kN五、小梁验算小梁弹性模量E(N/mm2) 9600 小梁截面抵抗矩W(cm3) 53.33小梁截面惯性矩I(cm4) 213.33 验算方式三等跨连续梁q1=max{2.255+0.9×1.35×[(0.3-0.1)×0.4/2+0.5×0.9]+0.9×max[1.2×(0.5+(24+1.1)×0.12)+1.4×2,1.35×(0.5+(24+1.1)×0.12)+1.4×0.7×2]×((1-0.5)-0.4/2)/2×1,7.442+0.9×1.35×(0.3-0.1)×0.4/2}=7.491kN/mq2=max{1.729+(0.3-0.1)×0.4/2+0.5×0.9+(0.5+(24+1.1)×0.12)×((1-0.5)-0.4/2)/2×1,5.763+(0.3-0.1)×0.4/2}=5.803kN/m1、抗弯验算M max=max[0.1q1l12,0.5q1l22]=max[0.1×7.491×0.82,0.5×7.491×0.32]=0.479kN·m σ=M max/W=0.479×106/53330=8.99N/mm2≤[f]=13N/mm2满足要求!2、抗剪验算V max=max[0.6q1l1,q1l2]=max[0.6×7.491×0.8,7.491×0.3]=3.596kNτmax=3V max/(2bh0)=3×3.596×1000/(2×50×80)=1.348N/mm2≤[τ]=1.4N/mm2满足要求!3、挠度验算ν1=0.677q2l14/(100EI)=0.677×5.803×8004/(100×9600×2133300)=0.786mm≤[ν]=l1/250=800/250=3.2mmν2=q2l24/(8EI)=5.803×3004/(8×9600×2133300)=0.287mm≤[ν]=2l2/250=2×300/250=2.4mm满足要求!4、支座反力计算梁头处(即梁底支撑主梁悬挑段根部)承载能力极限状态R max=max[1.1q1l1,0.4q1l1+q1l2]=max[1.1×7.491×0.8,0.4×7.491×0.8+7.491×0.3]=6.592kN同理可得,梁底支撑小梁所受最大支座反力依次为R1=2.508kN,R2=6.592kN,R3=3.277kN正常使用极限状态R'max=max[1.1q2l1,0.4q2l1+q2l2]=max[1.1×5.803×0.8,0.4×5.803×0.8+5.803×0.3]=5.106kN同理可得,梁底支撑小梁所受最大支座反力依次为R'1=2.045kN,R'2=5.106kN,R'3=2.814kN六、主梁验算主梁截面惯性矩I(cm4) 12.19 主梁截面抵抗矩W(cm3) 5.081、抗弯验算主梁弯矩图(kN·m)σ=M max/W=0.278×106/5080=54.668N/mm2≤[f]=205N/mm2满足要求!2、抗剪验算主梁剪力图(kN)V max=2.521kNτmax=2V max/A=2×2.521×1000/489=10.313N/mm2≤[τ]=125N/mm2满足要求!3、挠度验算主梁变形图(mm)νmax=0.13mm≤[ν]=l/250=500/250=2mm满足要求!4、支座反力计算承载能力极限状态支座反力依次为R1=0.448kN,R2=11.174kN,R3=0.756kN七、可调托座验算荷载传递至立杆方式可调托座扣件抗滑移折减系数k c0.85可调托座内主梁根数 1 可调托座承载力容许值[N](kN) 30两侧立柱最大受力R=max[R1,R3]=max[0.448,0.756]=0.756kN≤0.85×8=6.8kN 单扣件在扭矩达到40~65N·m且无质量缺陷的情况下,单扣件能满足要求!2、可调托座验算可调托座最大受力N=max[R2]=11.174kN≤[N]=30kN满足要求!八、立柱验算顶部立杆段:l01=kμ1(h d+2a)=1×1.386×(1000+2×200)=1940.4mm非顶部立杆段:l02=kμ2h =1×1.755×1500=2632.5mmλ=l0/i=2632.5/15.8=166.614≤[λ]=210长细比满足要求!2、风荷载计算M w=γ0×1.4×ψc×ωk×l a×h2/10=1.4×0.9×0.156×0.8×1.52/10=0.035kN·m3、稳定性计算根据《建筑施工扣件式钢管脚手架安全技术规范》JGJ130-2011,荷载设计值q1有所不同:1)面板验算q1=[1.2×(0.1+(24+1.5)×0.9)+1.4×0.9×2]×1=30.18kN/m2)小梁验算q1=max{2.295+1.2×[(0.3-0.1)×0.4/2+0.5×0.9]+[1.2×(0.5+(24+1.1)×0.12)+1.4×0.9×1]×((1-0 .5)-0.4/2)/2×1,7.545+1.2×(0.3-0.1)×0.4/2}=7.593kN/m同上四~六计算过程,可得:R1=0.455kN,R2=11.319kN,R3=0.763kN顶部立杆段:l01=kμ1(h d+2a)=1.185×1.386×(1000+2×200)=2299.374mmλ1=l01/i=2299.374/15.8=145.53,查表得,φ1=0.328立柱最大受力N w=max[R1,R2,R3+N边]+M w/l b=max[0.455,11.319,0.763+[1.2×(0.5+(24+1.1)×0.12)+1.4×0.9×1]×(1+1-0.5-0.4/2)/2×1]+0.035/1=11.355kNf=N/(φA)+M w/W=11354.541/(0.328×489)+0.035×106/5080=77.757N/mm2≤[f]=205N/mm2满足要求!非顶部立杆段:l02=kμ2h =1.185×1.755×1500=3119.512mmλ2=l02/i=3119.512/15.8=197.437,查表得,φ2=0.186立柱最大受力N w=max[R1,R2,R3+N边]+M w/l b=max[0.455,11.319,0.763+[1.2×(0.5+(24+1.1)×0.12)+1.4×0.9×1]×(1+1-0.5-0.4/2)/2×1]+0.035/1=11.355kN立柱最大受力N w=max[R1,R2,R3+N边]+1.2×0.15×(9.05-0.9)+M w/l b=max[0.455,11.319,0.763+[1.2×(0.75+(24+1.1)×0.12)+1.4×0.9×1]×(1+1-0.5-0.4/2)/2×1+1.467+0.035/1=12.822kNf=N/(φA)+M w/W=12821.541/(0.186×489)+0.035×106/5080=147.932N/mm2≤[f]=205N/mm2满足要求!九、立杆支承面承载力验算11、受冲切承载力计算根据《混凝土结构设计规范》GB50010-2010第6.5.1条规定,见下表ht 0 u m =2[(a+h 0)+(b+h 0)]=1360mmF=(0.7βh f t +0.25σpc ,m )ηu m h 0=(0.7×1×1.43+0.25×0)×1×1360×140/1000=190.59kN≥F 1=12.822kN 满足要求!2、局部受压承载力计算根据《混凝土结构设计规范》GB50010-2010第6.6.1条规定,见下表c cβl=(A b/A l)1/2=[(a+2b)×(b+2b)/(ab)]1/2=[(600)×(600)/(200×200)]1/2=3,A ln=ab=40000mm2F=1.35βcβl f c A ln=1.35×1×3×14.3×40000/1000=2316.6kN≥F1=12.822kN 满足要求!。