酒店高大支模专项施工方案改.doc

酒店高大支模专项施工方案改.doc
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酒店高大支模专项施工方案改.doc

Mmax=max[0.107q1l12,0.5q1l22]=max[0.107×5.566×0.452,0.5×5.566×0.32]=0.25kN·m

σ=Mmax/W=0.25×106/64000=3.914N/mm2≤[f]=15.44N/mm2

Vmax=max[0.607q1l1,q1l2]=max[0.607×5.566×0.45,5.566×0.3]=1.67kN

HJ 968-2019标准下载 τmax=3Vmax/(2bh0)=3×1.67×1000/(2×60×80)=0.522N/mm2≤[τ]=1.78N/mm2

ν1=0.632q2l14/(100EI)=0.632×4.403×4504/(100×9350×2560000)=0.048mm≤[ν]=l/250=450/250=1.8mm

ν2=q2l24/(8EI)=4.403×3004/(8×9350×2560000)=0.186mm≤[ν]=l/250=300/250=1.2mm

4、支座反力计算

梁头处(即梁底支撑小梁悬挑段根部)

承载能力极限状态

Rmax=max[1.143q1l1,0.393q1l1+q1l2]=max[1.143×5.566×0.45,0.393×5.566×0.45+5.566×0.3]=2.863kN

同理可得,梁底支撑小梁所受最大支座反力依次为R1=R5=1.818kN,R2=R4=2.863kN,R3=2.34kN

正常使用极限状态

R'max=max[1.143q2l1,0.393q2l1+q2l2]=max[1.143×4.403×0.45,0.393×4.403×0.45+4.403×0.3]=2.265kN

同理可得,梁底支撑小梁所受最大支座反力依次为R'1=R'5=1.61kN,R'2=R'4=2.265kN,R'3=1.843kN

主梁自重忽略不计,计算简图如下:

主梁弯矩图(kN·m)

σ=Mmax/W=0.355×106/4490=79.055N/mm2≤[f]=205N/mm2

主梁剪力图(kN)

Vmax=4.027kN

τmax=2Vmax/A=2×4.027×1000/424=18.995N/mm2≤[τ]=125N/mm2

主梁变形图(mm)

νmax=0.087mm≤[ν]=l/250=450/250=1.8mm

4、扣件抗滑计算

R=max[R1,R3]=0.654kN≤1×8=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!

同理可知,左侧立柱扣件受力R=0.654kN≤1×8=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!

λ=h/i=1500/15.9=94.34≤[λ]=150

长细比满足要求!

查表得,φ=0.634

Mw=0.92×1.4×ωk×la×h2/10=0.92×1.4×0.22×0.45×1.52/10=0.025kN·m

q1=0.9×[1.2×(0.1+(24+1.5)×1.5)+0.9×1.4×2]×1=43.686kN/m

同上四~六计算过程,可得:

R1=0.612kN,R2=9.525kN,R3=0.612kN

f=N/(φA)+Mw/W=11623.549/(0.634×424)+0.025×106/4490=48.866N/mm2≤[f]=205N/mm2

八、梁底立柱扣件抗滑移验算

由"主梁验算"一节计算可知扣件最大受力N=max[R2]×1=10.394kN≤Rc=kc×12=1×12=12kN

九、立柱地基基础计算

立柱底垫板的底面平均压力p=N/(mfA)=11.624/(1×0.15)=77.49kPa≤fak=140kPa

新浇混凝土对模板的侧压力标准值G4k=min[0.22γct0β1β2v1/2,γcH]=min[0.22×24×4×1×1×21/2,24×1.5]=min[29.87,36]=29.87kN/m2

承载能力极限状态设计值S承=0.9max[1.2G4k+1.4Q2k,1.35G4k+1.4×0.7Q2k]=0.9max[1.2×29.87+1.4×4,1.35×29.87+1.4×0.7×4]=0.9max[41.444,44.244]=0.9×44.244=39.82kN/m2

正常使用极限状态设计值S正=G4k=29.87 kN/m2

设计简图如下:

梁截面宽度取单位长度,b=1000mm。W=bh2/6=1000×122/6=24000mm3,I=bh3/12=1000×123/12=144000mm4。面板计算简图如下:

q1=bS承=1×39.82=39.82kN/m

q1静=0.9×1.35×G4k×b=0.9×1.35×29.87×1=36.292kN/m

q1活=0.9×1.4×0.7×Q2k×b=0.9×1.4×0.7×4×1=3.528kN/m

Mmax=0.107q1静L2+0.121q1活L2=0.107×36.292×0.1742+0.121×3.528×0.1742=0.13kN·m

σ=Mmax/W=0.13×106/24000=5.422N/mm2≤[f]=15N/mm2

q=bS正=1×29.87=29.87kN/m

νmax=0.632qL4/(100EI)=0.632×29.87×173.754/(100×10000×144000)=0.119mm≤173.75/400=0.434mm

3、最大支座反力计算

承载能力极限状态

Rmax=1.143×q1静×l左+1.223×q1活×l左=1.143×36.292×0.174+1.223×3.528×0.174=7.957kN

正常使用极限状态

R'max=1.143×l左×q=1.143×0.174×29.87=5.932kN

计算简图如下:

跨中段计算简图

悬挑段计算简图

q=7.957kN/m

Mmax=max[0.107×q×l2,0.5×q×l12]=max[0.107×7.957×0.52,0.5×7.957×0.12]=0.213kN·m

σ=Mmax/W=0.213×106/64000=3.326N/mm2≤[f]=15.44N/mm2

Vmax=max[0.607×q×l,q×l1]=max[0.607×7.957×0.5,7.957×0.1]=2.415kN

τmax=3Vmax/(2bh0)=3×2.415×1000/(2×80×60)=0.755N/mm2≤[τ]=1.78N/mm2

q=5.932kN/m

ν1max=0.632qL4/(100EI)=0.632×5.932×5004/(100×9350×2560000)=0.098mm≤500/400=1.25mm

ν2max=qL4/(8EI)=5.932×1004/(8×9350×2560000)=0.003mm≤100/400=0.25mm

4、最大支座反力计算

承载能力极限状态

Rmax=max[1.143×7.957×0.5,0.393×7.957×0.5+7.957×0.1]=4.548kN

正常使用极限状态

R'max=max[1.143×5.932×0.5,0.393×5.932×0.5+5.932×0.1]=3.39kN

因主梁2根合并,则抗弯、抗剪、挠度验算荷载值取半。

计算简图如下:

同前节计算过程,可依次解得:

承载能力极限状态:R1=0.786kN,R2=2.274kN,R3=1.872kN,R4=1.872kN,R5=1.872kN,R6=1.872kN,R7=1.872kN,R8=2.274kN,R9=0.786kN

正常使用极限状态:R'1=0.583kN,R'2=1.695kN,R'3=1.376kN,R'4=1.376kN,R'5=1.376kN,R'6=1.376kN,R'7=1.376kN,R'8=1.695kN,R'9=0.583kN

主梁弯矩图(kN·m)

σmax=Mmax/W=0.287×106/4490=63.895N/mm2≤[f]=205 N/mm2

梁左侧剪力图(kN)

τmax=2Vmax/A=2×3.571×1000/424=16.842N/mm2≤[τ]=120 N/mm2

梁左侧变形图(mm)

νmax=0.18mm≤525/400=1.312 mm

同主梁计算过程,可知对拉螺栓受力N=0.95×6.151×2=11.688kN≤Ntb=17.8kN

9.4.2 IMAX影厅板模板计算书

2、《建筑施工扣件式钢管脚手架安全技术规范》JGJ 130-2011

设计简图如下:

根据《建筑施工模板安全技术规范》5.2.1"面板可按简支跨计算"的规定,另据现实,楼板面板应搁置在梁侧模板上,因此本例以简支梁,取1m单位宽度计算。计算简图如下:

W=bh2/6=1000×12×12/6=24000mm3,I=bh3/12=1000×12×12×12/12=144000mm4

q1=0.9max[1.2(G1k+ (G3k+G2k)×h)+1.4Q1k,1.35(G1k+ (G3k+G2k)×h)+1.4×0.7Q1k]×b=0.9max[1.2×(0.1+(1.1+24)×0.11)+1.4×2.5,1.35×(0.1+(1.1+24)×0.11)+1.4×0.7×2.5] ×1=6.24kN/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

Mmax=max[q1l2/8,q2l2/8+pl/4]=max[6.24×0.252/8,0.108×0.252/8+3.15×0.25/4]= 0.198kN·m

σ=Mmax/W=0.198×106/24000=8.238N/mm2≤[f]=15N/mm2

q=(G1k+(G3k+G2k)×h)×b=(0.1+(1.1+24)×0.11)×1=2.861kN/m

ν=5ql4/(384EI)=5×2.861×2504/(384×10000×144000)=0.101mm≤[ν]=l/250=250/250=1mm

因[B/lb]取整=[5000/900]取整=5,按四等跨连续梁计算,又因小梁较大悬挑长度为250mm,因此需进行最不利组合,计算简图如下:

q1=0.9max[1.2(G1k+(G3k+G2k)×h)+1.4Q1k,1.35(G1k+(G3k+G2k)×h)+1.4×0.7Q1k]×b=0.9×max[1.2×(0.3+(1.1+24)×0.11)+1.4×2.5,1.35×(0.3+(1.1+24)×0.11)+1.4×0.7×2.5]×0.25=1.614kN/m

因此,q1静=0.9×1.2(G1k+(G3k+G2k)×h)×b=0.9×1.2×(0.3+(1.1+24)×0.11)×0.25=0.826kN/m

q1活=0.9×1.4×Q1k×b=0.9×1.4×2.5×0.25=0.788kN/m

M1=0.107q1静L2+0.121q1活L2=0.107×0.826×0.92+0.121×0.788×0.92=0.149kN·m

q2=0.9×1.2×G1k×b=0.9×1.2×0.3×0.25=0.081kN/m

p=0.9×1.4×Q1k=0.9×1.4×2.5=3.15kN

M2=max[0.077q2L2+0.21pL,0.107q2L2+0.181pL]=max[0.077×0.081×0.92+0.21×3.15×0.9,0.107×0.081×0.92+0.181×3.15×0.9]=0.6kN·m

M3=max[q1L12/2,q2L12/2+pL1]=max[1.614×0.252/2,0.081×0.252/2+3.15×0.25]=0.79kN·m

Mmax=max[M1,M2,M3]=max[0.149,0.6,0.79]=0.79kN·m

σ=Mmax/W=0.79×106/64000=12.344N/mm2≤[f]=15.44N/mm2

V1=0.607q1静L+0.62q1活L=0.607×0.826×0.9+0.62×0.788×0.9=0.891kN

V2=0.607q2L+0.681p=0.607×0.081×0.9+0.681×3.15=2.189kN

V3=max[q1L1,q2L1+p]=max[1.614×0.25,0.081×0.25+3.15]=3.17kN

Vmax=max[V1,V2,V3]=max[0.891,2.189,3.17]=3.17kN

τmax=3Vmax/(2bh0)=3×3.17×1000/(2×80×60)=0.991N/mm2≤[τ]=1.78N/mm2

q=(G1k+(G3k+G2k)×h)×b=(0.3+(24+1.1)×0.11)×0.25=0.765kN/m

跨中νmax=0.632qL4/(100EI)=0.632×0.765×9004/(100×9350×2560000)=0.133mm≤[ν]=l/250=900/250=3.6mm

悬臂端νmax=qL4/(8EI)=0.765×2504/(8×9350×2560000)=0.016mm≤[ν]=l1/250=250/250=1mm

因主梁2根合并,则抗弯、抗剪、挠度验算荷载值取半。

1、小梁最大支座反力计算

Q1k=1.5kN/m2

q1=0.9max[1.2(G1k+ (G3k+G2k)×h)+1.4Q1k,1.35(G1k+(G3k+G2k)×h)+1.4×0.7Q1k]×b=0.9max[1.2×(0.5+(1.1+24)×0.11)+1.4×1.5,1.35×(0.5+(1.1+24)×0.11)+1.4×0.7×1.5]×0.25=1.353kN/m

q1静=0.9×1.2(G1k+ (G3k+G2k)×h)×b=0.9×1.2×(0.5+(1.1+24)×0.11)×0.25=0.88kN/m

q1活=0.9×1.4×Q1k×b=0.9×1.4×1.5×0.25=0.472kN/m

q2=(G1k+ (G3k+G2k)×h)×b=(0.5+(1.1+24)×0.11)×0.25=0.815kN/m

承载能力极限状态

按四跨连续梁,Rmax=(1.143q1静+1.223q1活)L=1.143×0.88×0.9+1.223×0.472×0.9=1.426kN

按悬臂梁,R1=q1l=1.353×0.25=0.338kN

R=max[Rmax,R1]/2=0.713kN;

正常使用极限状态

按四跨连续梁,Rmax=1.143q2L=1.143×0.815×0.9=0.839kN

按悬臂梁,R1=q2l=0.815×0.25=0.204kN

R=max[Rmax,R1]/2=0.419kN;

计算简图如下:

主梁弯矩图(kN·m)

Mmax=0.212kN·m

σ=Mmax/W=0.212×106/4490=47.233N/mm2≤[f]=205N/mm2

主梁剪力图(kN)

Vmax=1.51kN

τmax=2Vmax/A=2×1.51×1000/424=7.124N/mm2≤[τ]=125N/mm2

主梁变形图(mm)

νmax=0.258mm

跨中νmax=0.258mm≤[ν]=900/250=3.6mm

悬挑段νmax=0.198mm≤[ν]=250/250=1mm

顶部立杆段:l01=kμ1(hd+2a)=1×1.386×(1500+2×200)=2633.4mm

非顶部立杆段:l02=kμ2h =1×1.755×1500=2632.5mm

λ=l0/i=2633.4/15.9=165.623≤[λ]=210

长细比满足要求!

2、立柱稳定性验算

顶部立杆段:l01=kμ1(hd+2a)=1.217×1.386×(1500+2×200)=3204.848mm

λ1=l01/i=3204.848/15.9=201.563,查表得,φ1=0.179

Mw=0.9×1.4ωklah2/10=0.9×1.4×0.18×0.9×1.52/10=0.046kN·m

Nw=1.2ΣNGik+0.9×1.4Σ(NQik+Mw/lb)=[1.2×(0.5+(24+1.1)×0.11)+0.9×1.4×1]×0.9×0.9+0.9×1.4×0.046/0.9=4.255kN

f= Nw/(φA)+ Mw/W=4254.59/(0.179×424)+0.046×106/4490=66.287N/mm2≤[f]=205N/mm2

非顶部立杆段:l02=kμ2h =1.217×1.755×1500=3203.752mm

λ2=l02/i=3203.752/15.9=201.494,查表得湖南省施工图管理信息.pdf,φ2=0.179

Mw=0.9×1.4ωklah2/10=0.9×1.4×0.18×0.9×1.52/10=0.046kN·m

Nw=1.2ΣNGik+0.9×1.4Σ(NQik+Mw/lb)=[1.2×(0.75+(24+1.1)×0.11)+0.9×1.4×1]×0.9×0.9+0.9×1.4×0.046/0.9=4.498kN

f= Nw/(φA)+ Mw/W=4497.59/(0.179×424)+0.046×106/4490=69.489N/mm2≤[f]=205N/mm2

按上节计算可知【砌体工程施工质量验收规范】gb50203-2011,可调托座受力N=4.255kN≤[N]=30kN

九、立柱地基基础验算

立柱底垫板的底面平均压力p=N/(mfA)=4.498/(1×0.1)=44.976kPa≤fak=115kPa

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