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竖向荷载下的内力计算案例1.1恒载1、梁端弯矩和跨中弯矩都用公式计算表2.1恒载弯矩二次分配法上柱下柱右梁左梁上柱下柱右梁左梁上柱下柱右梁左梁上柱下柱0.4880.5120.1920.1870.6210.6210.1870.1920.5120.488偏心矩偏心矩偏心矩偏心矩0.00-135.60135.600.00-9.029.020-135.60135.60066.1769.43-24.30-23.67-78.6178.6123.6724.30-69.43-66.1713.78-12.1534.71-6.1939.30-39.306.19-34.7112.15-13.78-0.79-0.83-13.02-12.68-42.1242.1212.6813.020.830.7979.16-79.16132.99-42.54-90.4490.4442.54-132.9979.16-79.160.3260.3260.3480.1640.1570.1570.5220.5220.1570.1570.1640.3480.3260.3260.00-84.5284.520.00-5.685.680.00-84.5284.520.0027.5527.5529.41-12.93-12.38-12.38-41.1541.1512.3812.3812.93-29.41-27.55-27.5533.0914.88-6.4614.71-11.84-6.8220.58-20.5811.844.97-14.716.46-33.09-11.75-13.53-13.53-14.44-2.73-2.61-2.61-8.689.652.902.903.0313.3512.5112.5147.1128.90-76.0183.57-26.82-21.81-34.9435.9027.1120.25-83.2774.92-48.13-26.790.3520.2780.370.160.1730.1260.5410.5410.1260.1730.160.370.2780.3520.00-84.5284.520.00-5.685.680.00-84.5284.520.0029.7523.5031.27-12.61-13.64-9.93-42.6542.659.9313.6412.61-31.27-23.50-29.7513.7810.69-6.3115.64-6.19-2.6821.33-21.336.192.68-15.646.31-13.78-10.69-6.39-5.05-6.72-4.49-4.86-3.54-15.2015.203.544.864.496.725.056.3937.1429.14-66.2783.05-24.69-16.15-42.2042.2019.6621.18-83.0566.27-32.22-34.050.2530.2530.4940.2040.0680.0680.660.660.0680.0680.2040.4940.2530.2530.00-84.5284.520.00-5.685.680.00-84.5284.520.0021.3821.3841.75-16.08-5.36-5.36-52.0352.035.365.3616.08-41.75-21.38-21.3811.75-8.0420.88-4.9726.02-26.026.82-20.888.04-14.88-0.94-0.94-1.83-8.55-2.85-2.85-27.6726.452.732.738.183.381.731.7332.2020.45-52.6480.76-13.18-8.21-59.3758.1514.918.09-81.1454.18-34.53-19.6510.47-6.256.25-10.47
2、参照公式:V=Vq+VmVq-梁上对应的均布荷载所引起的剪力。Vm-梁端对应的弯矩所引起的剪力,。表2.2恒荷载和弯矩引起的剪力恒载荷载引起的剪力弯矩引起的剪力层AC跨CD跨DF跨AC跨CD跨DF跨489.9613.4289.96-7.647.64007.64-7.64357.8810.4657.88-1.071.07001.07-1.07257.8810.4657.88-2.092.09002.09-2.09157.8810.4657.88-3.9813.981003.981-3.981表2.3恒载作用下的总剪力恒载共同总剪力层VAVVVVVF482.3297.6013.4213.4297.6082.32356.8158.9510.4610.4658.9556.81255.7959.9710.4610.4659.9755.79153.9061.8610.4610.4661.8653.903、柱轴力:柱轴力的大小是梁端的剪力+节点集中力和柱子的自重
表2.4恒载作用下的柱轴力恒载N=V+PACDF4212.47225.782246.64259.952246.64259.952212.47225.7823385.35398.662464.52477.832464.52477.832385.35398.6622557.21570.522662.35675.662662.35675.662557.21570.5221727.18746.524864.77884.114864.77884.114727.18746.524内力图如下:图2.4恒载M图(未调幅)(kN·m)图2.5恒载M图(调幅后)(kN·m)图2.6V图(恒载作用下)(kN)
图2.7N图(恒载作用下)(kN)
1.2活载1、梁端弯矩和跨中弯矩都用公式计算表2.5活载弯矩二次分配上柱下柱右梁左梁上柱下柱右梁左梁上柱下柱右梁左梁上柱下柱0.4880.5120.1920.1870.6210.6210.1870.1920.5120.488偏心矩偏心矩偏心矩偏心矩0.00-5.805.800.00-0.430.430-5.805.8002.832.97-1.03-1.00-3.333.331.001.03-2.97-2.833.79-0.521.48-1.691.67-1.671.69-1.480.52-3.79-1.60-1.68-0.28-0.27-0.910.910.270.281.681.605.02-5.025.97-2.97-3.003.002.97-5.975.02-5.020.3260.3260.3480.1640.1570.1570.5220.5220.1570.1570.1640.3480.3260.3260.00-23.2823.280.00-1.721.720.00-23.2823.280.007.597.598.10-3.54-3.38-3.38-11.2511.253.383.383.54-8.10-7.59-7.591.424.10-1.774.05-0.50-1.865.63-5.630.501.36-4.051.77-1.42-3.24-1.22-1.22-1.30-1.20-1.15-1.15-3.824.081.231.231.281.000.940.947.7810.47-18.2522.60-5.03-6.40-11.1611.435.115.97-22.5117.95-8.06-9.890.3520.2780.370.160.1730.1260.5410.5410.1260.1730.160.370.2780.3520.00-23.2823.280.00-1.721.720.00-23.2823.280.008.196.478.61-3.45-3.73-2.72-11.6611.662.723.733.45-8.61-6.47-8.193.792.94-1.724.31-1.69-0.735.83-5.831.690.73-4.311.72-3.79-2.94-1.77-1.39-1.86-1.23-1.33-0.97-4.174.170.971.331.231.861.391.7710.228.02-18.2522.90-6.76-4.42-11.7211.725.385.80-22.9018.25-8.87-9.370.2530.2530.4940.2040.0680.0680.660.660.0680.0680.2040.4940.2530.2530.00-23.2823.280.00-1.721.720.00-23.2823.280.005.895.8911.50-4.40-1.47-1.47-14.2314.231.471.474.40-11.50-5.89-5.893.24-2.205.75-1.367.11-7.111.86-5.752.20-4.10-0.26-0.26-0.51-2.35-0.78-0.78-7.597.260.750.752.240.940.480.488.865.63-14.4922.28-3.61-2.25-16.4316.094.082.21-22.3914.92-9.51-5.413.45-2.142.14-3.45
2、梁端剪力等于梁上的均布q引起的剪力加上梁端对应的M引起的剪力之和表2.6活荷载和弯矩引起的剪力活载荷载q引起的剪力M引起的剪力层ACCDDFACCDDF423.7610.58129.881-0.1400.140000.140-0.1403123.542.37123.54-0.620.62000.62-0.622123.542.37123.54-0.660.66000.66-0.661123.542.37123.54-1.111.11001.11-1.11表2.7活载作用下的总剪力活载总的剪力层次423.6223.90.580.5823.923.623122.92124.162.372.37124.16122.922122.88124.202.372.37124.20122.881122.43124.652.372.37124.65122.43
3、柱轴力:柱轴力的大小是梁端的剪力+节点集中力和柱子的自重表2.8活载作用下的柱轴力活载NA轴B轴C轴D轴423.6223.6224.4824.4824.4824.4823.6223.6231
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