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某辦公建筑樓的框架結(jié)構(gòu)內(nèi)力組合計(jì)算案例1.1框架結(jié)構(gòu)梁內(nèi)力組合由于結(jié)構(gòu)受力分析時(shí)得到的都是構(gòu)件軸線處的內(nèi)力,而梁端控制截面是指柱截面邊緣處,柱的控制截面是指梁底或梁頂處的截面,因此應(yīng)將結(jié)構(gòu)內(nèi)力分析的彎矩、剪力計(jì)算結(jié)果換算到梁和柱的截面邊緣處,然后進(jìn)行內(nèi)力組合。若調(diào)幅后跨中彎矩小于ql2/16,為防止跨中正截面抗彎承載力不足,取M中=ql2/16。表5.1中將軸線處的內(nèi)力計(jì)算結(jié)果換算到控制截面處,已經(jīng)對豎向荷載作用下的梁端彎矩、和跨中彎矩調(diào)幅。表5.1和表5.3分別為各層梁、柱的內(nèi)力標(biāo)準(zhǔn)值。對于梁、柱組合了兩種情況:無地震作用時(shí)由永久荷載控制的組合,以及有地震作用時(shí)的組合,組合后的設(shè)計(jì)值見表5.2、表5.4和表5.5。表5.1梁荷載分布表荷載類型層數(shù)梁位置Mbl0kN?mMblkN?mMb中MbrkN?mMbr0kN?mVbl0kNVblkNVbr0kNVbrkN恒載①5邊跨-35.1220.4537.5122.8-37.7448.944.049.744.8中跨-8.417.01.767.0-8.414.693.754.693.754邊跨-49.3130.4745.0130.75-49.6262.856.562.956.6中跨-4.763.351.763.35-4.764.693.754.693.753邊跨-48.7429.945.3830.56-49.4662.856.56356.7中跨-5.093.681.763.68-5.094.693.754.693.752邊跨-48.7429.945.3830.56-49.4662.856.56356.7中跨-5.093.681.763.68-5.094.693.754.693.751邊跨-47.3428.5346.5129.67-48.6062.756.463.156.8中跨-6.815.41.75.4-6.814.693.754.693.75活載②5邊跨-4.953.044.583.14-5.076.375.736.415.77中跨-0.460.4600.46-0.4600004邊跨-13.788.4113.058.55-13.9517.916.118.016.2中跨-1.181.1801.18-1.1800003邊跨-13.938.5612.918.67-14.0717.916.118.016.2中跨-0.940.9400.94-0.9400002邊跨-13.938.5612.918.67-14.0717.916.118.016.2中跨-0.940.9400.94-0.9400001邊跨-13.538.1613.248.41-13.8117.916.118.016.2中跨-1.461.4601.46-1.460000重力荷載③=①+0.5×②5邊跨-37.59521.9739.824.37-40.27552.08546.86552.90547.685中跨-8.647.231.767.23-8.644.693.754.693.754邊跨-56.234.67551.53535.025-56.59571.7564.5571.964.7中跨-5.353.941.763.94-5.354.693.754.693.753邊跨-55.70534.1851.83534.895-56.49571.7564.557264.8中跨-5.564.151.764.15-5.564.693.754.693.752邊跨-55.70534.1851.83534.895-56.49571.7564.557264.8中跨-5.564.151.764.15-5.564.693.754.693.751邊跨-54.10532.6153.1333.875-55.50571.6564.4572.164.9中跨-7.546.131.766.13-7.544.693.754.693.75地震④5邊跨61.5556.4511.433.7438.8417171717中跨77.6962.09062.0977.69525252524邊跨111100.810.080.7790.9734343434中跨181.94145.640145.64181.941211211211213邊跨158.38143.6811.72120.24134.9449494949中跨269.89215.890215.89269.891801801801802邊跨188.86170.8610.66149.54167.5460606060中跨335.08268.180268.18335.082232232232231邊跨180.67163.275.70151.88169.2858585858中跨338.57270.770270.77338.57226226226226表5.2框架梁內(nèi)力組合層次截面內(nèi)力恒①活②地震④1.2(①+0.5②)+1.3④1.35①+0.98②5.00AM-20.45-3.0456.4547.02-99.75-30.59V44.005.73-17.0034.1478.3465.02B左M-22.80-3.14-33.74-73.1114.62-33.86V-44.80-5.77-17.00-79.32-35.12-66.13B右M-7.00-0.4662.0972.04-89.39-9.90V3.750.0052.0072.10-63.105.06跨中MAB37.514.5811.4062.5832.9455.13MBC1.760.000.002.112.112.384.00AM-30.47-8.41100.8089.43-172.65-49.38V56.5016.1034.00121.6633.2692.05B左M-30.75-8.55-80.77-147.0362.97-49.89V-56.60-16.20-34.00-121.84-33.44-92.29B右M-3.35-1.18145.64184.60-194.06-5.68V3.750.00121.00161.80-152.805.06跨中MAB45.0113.0510.0074.8448.8473.55MBC1.760.000.002.112.112.383.00AM-29.90-8.56143.68145.77-227.80-48.75V56.5016.10-49.0013.76141.1692.05B左M-30.56-8.67-120.24-198.19114.44-49.75V-56.70-16.20-49.00-141.46-14.06-92.42B右M-3.68-0.94215.89275.68-285.64-5.89V3.750.00180.00238.50-229.505.06跨中MAB45.3812.9111.7277.4446.9773.91MBC1.760.000.002.112.112.382.00AM-29.90-8.56170.86181.10-263.13-48.75V56.5016.10-60.00-0.54155.4692.05B左M-30.56-8.67-149.54-236.28152.53-49.75V-56.70-16.20-60.00-155.760.24-92.42B右M-3.68-0.94268.18343.65-353.61-5.89V3.750.00-223.00-285.40294.405.06跨中MAB45.3812.9110.6676.0648.3473.91MBC1.760.000.002.112.112.381.00AM-28.53-8.16163.27173.12-251.38-46.51V56.4016.10-58.001.94152.7491.92B左M-29.67-8.41-151.88-238.09156.79-48.30V-56.80-16.20-58.00-153.28-2.48-92.56B右M-5.40-1.46270.77344.65-359.36-8.72V3.750.00226.00298.30-289.305.06跨中MAB46.5113.245.7071.1756.3575.76MBC1.700.000.002.042.042.30
1.2框架結(jié)構(gòu)柱內(nèi)力組合表5.3框架柱的內(nèi)力標(biāo)準(zhǔn)值載類型層數(shù)位置Mct0(kN?m)Mct(kN?m)Mcb0(kN?m)Mcb(kN?m)Vc(kN)恒載①5邊柱43.937.4633.3826.9421.47中柱36.7231.0029.0223.5416666718.264邊柱27.9323.0830.2725.4216.17中柱27.0522.48527.7323.16515.223邊柱30.2725.22530.2725.22516.82中柱27.7323.1027.7323.1083333315.412邊柱30.2724.7436.0930.5618.43中柱27.7322.8131.3626.4358333316.411邊柱22.5720.3411.289.0481318687.44中柱20.8818.8110.448.3749450556.88活載②5邊柱6.195.0197.866.6891666673.90中柱5.774.687.286.19253.634邊柱9.257.768.657.1583333334.97中柱8.697.288.206.79254.693邊柱8.657.218.657.2083333334.81中柱8.206.838.206.8333333334.562邊柱8.657.0710.318.735.27中柱8.206.749.287.8233333334.861邊柱6.455.813.232.5917582422.13中柱6.175.563.092.4794505492.04地震③5邊柱61.5555.3712.66.4220.6中柱116.53101.5962.7447.849.84邊柱98.486.3446.3134.2540.2中柱210.17180.98140.11110.9297.33邊柱112.0795.5486.2969.7655.1中柱264.73224.62216.6176.49133.72邊柱102.5782.92133.23113.5865.5中柱286.02238.35286.02238.35158.91邊柱47.4417.65404.37374.5899.3中柱221.83180.04412370.21139.3表5.4框架柱彎矩和軸力組合設(shè)計(jì)值柱標(biāo)號層次截面內(nèi)力恒載①活載②地震③1.2(①+0.5②)+1.3③1.35①+0.98②|Mmax|(N)Nmin(M)Nmax(M)→←A5柱頂M-37.46-5.0255.3724.02-119.94-55.49120.0024.00-55.00N179.6015.00-35.00179.02270.02257.16270.00179.00257.00柱底M26.946.69-6.4228.0044.6942.9245.0028.0043.00N211.6047.00-35.00236.62327.62331.72328.00236.00331.004柱頂M-23.08-7.7686.3479.89-144.59-38.76-145.0080.00145.00N463.4099.00-122.00456.88774.08722.61774.00457.00774.00柱底M25.427.16-34.25-9.7379.3241.3379.00-1079.00N485.80131.00-122.00502.96820.16784.21820.00503.00820.003柱頂M-25.23-7.2195.5489.60-158.80-41.12-159.00-90.00-159.00N747.20183.00-254.00676.241336.641188.061337.00676.001337.00柱底M25.237.21-69.76-56.09125.2941.12125.00-56.00125.00N779.60216.00-254.00734.921395.321264.141395.00735.001395.002柱頂M-24.74-7.0782.9273.87-141.73-40.33-142.0074.00142.00N1031.00267.00-418.00854.001940.801653.511940.00854.001940.00柱底M30.568.73-113.58-105.74189.5649.81190.00-105.00190.00N1063.00300.00-418.00912.201999.001729.051999.00912.001999.001柱頂M-20.34-5.8117.65-4.95-50.84-33.15-51.00-5.0051.00N1315.00352.00-585.001028.702549.702120.212550.001029.002550.00柱底M9.052.59-374.58-474.54499.3714.75499.00-475.00499.00N1355.00393.00-585.001101.302622.302214.392622.001101.002622.00B5柱頂M-31.24-4.68101.5991.77-172.37-46.77-172.0092.00-47.00N221.9020.00-16.70256.57299.99319.17300.00257.00319.00柱底M23.546.19-47.80-30.1794.1137.8594.00-30.0038.00N254.3052.00-16.70314.65358.07394.27358.00315.00394.004柱頂M-22.49-7.28180.98203.92-266.63-37.49-267.00203.00-37.00N553.00125.00-50.00673.60803.60869.05804.00674.00869.00柱底M23.176.79-110.92-112.32176.0737.93176.00-112.0038.00N585.40157.00-50.00731.68861.68944.15861.00732.00944.003柱頂M-23.11-6.83224.62260.18-323.84-37.89-324.00260.00-38.00N884.20230.00-99.001070.341327.741419.071327.001070.001419.00柱底M23.116.83-176.49-197.61261.2737.89261.00-198.0038.00N916.60262.00-99.001128.421385.821494.171386.001128.001494.002柱頂M-22.81-6.74238.35278.44-341.27-37.40-341.00278.00-37.00N1215.00335.00-158.601452.821865.181968.551865.001452.001969.00柱底M26.447.82-238.35-273.44346.2743.36346.00-273.0
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