豎向荷載下的內力計算案例1.1恒載1、梁端彎矩和跨中彎矩都用公式計算表2.1恒載彎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、參照公式：V=Vq+VmVq-梁上對應的均布荷載所引起的剪力。Vm-梁端對應的彎矩所引起的剪力，。表2.2恒荷載和彎矩引起的剪力恒載荷載引起的剪力彎矩引起的剪力層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恒載作用下的總剪力恒載共同總剪力層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、柱軸力：柱軸力的大小是梁端的剪力+節點集中力和柱子的自重

表2.4恒載作用下的柱軸力恒載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內力圖如下：圖2.4恒載M圖（未調幅）（kN·m）圖2.5恒載M圖（調幅后）（kN·m）圖2.6V圖(恒載作用下）（kN）

圖2.7N圖（恒載作用下）（kN）

1.2活載1、梁端彎矩和跨中彎矩都用公式計算表2.5活載彎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對應的M引起的剪力之和表2.6活荷載和彎矩引起的剪力活載荷載q引起的剪力M引起的剪力層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活載作用下的總剪力活載總的剪力層次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、柱軸力：柱軸力的大小是梁端的剪力+節點集中力和柱子的自重表2.8活載作用下的柱軸力活載NA軸B軸C軸D軸423.6223.6224.4824.4824.4824.4823.6223.6231