多框架結構計算中的內力組合計算過程案例綜述根據(jù)荷載設計規(guī)范(2012版)，內力組合如下：內力組合1：

S內力組合2：

S內力組合3：

S地震內力組合：

S塑性彎矩調幅按規(guī)范對梁豎向荷載調幅，系數(shù)β取0.9，跨中彎矩不小于同荷載條件下簡支梁跨中彎矩的一半，以頂層AB軸為例，對恒載彎矩調幅進行計算：MM依次計算，詳見下表：恒載作用下彎矩調幅表樓層梁跨調幅前彎矩調幅

系數(shù)M0/2調幅后彎矩梁左跨中梁右梁左跨中梁右5AB-46.4665.97-78.260.9064.16-41.8172.21-70.43BC-49.70-41.16-49.700.904.27-44.734.27-44.73CD-78.2665.97-46.460.9064.16-70.4372.21-41.814AB-79.0869.49-96.820.9078.72-71.1778.72-87.14BC-42.66-36.06-42.660.903.30-38.393.30-38.39CD-96.8269.49-79.080.9078.72-87.1478.72-71.173AB-78.2269.87-96.930.9078.72-70.4078.72-87.24BC-42.45-35.85-42.450.903.30-38.213.30-38.21CD-96.9369.87-78.220.9078.72-87.2478.72-70.402AB-78.6469.63-96.990.9078.72-70.7878.72-87.29BC-42.33-35.73-42.330.903.30-38.103.30-38.10CD-96.9969.63-78.640.9078.72-87.2978.72-70.781AB-69.0175.43-95.010.9078.72-62.1183.63-85.51BC-48.37-41.77-48.370.903.30-43.533.30-43.53CD-95.0175.43-69.010.9078.72-85.5183.63-62.11活載作用下彎矩調幅表樓層梁跨調幅前彎矩調幅

系數(shù)M0/2調幅后彎矩梁左跨中梁右梁左跨中梁右AB-4.663.77-5.790.904.50-4.194.50-5.21BC-2.86-2.31-2.860.900.27-2.570.27-2.57CD-5.793.77-4.660.904.50-5.214.50-4.19AB-16.7416.38-21.930.9017.86-15.0718.31-19.74BC-10.75-8.04-10.750.901.35-9.681.35-9.68CD-21.9316.38-16.740.9017.86-19.7418.31-15.07AB-17.6915.77-22.200.9017.86-15.9217.86-19.98BC-10.22-7.51-10.220.901.35-9.201.35-9.20CD-22.2015.77-17.690.9017.86-19.9817.86-15.92AB-17.7915.72-22.210.9017.86-16.0117.86-19.99BC-10.19-7.48-10.190.901.35-9.171.35-9.17CD-22.2115.72-17.790.9017.86-19.9917.86-16.01AB-15.6017.03-21.780.9017.86-14.0418.90-19.60BC-11.52-8.81-11.520.901.35-10.371.35-10.37CD-21.7817.03-15.600.9017.86-19.6018.90-14.04將調幅后結果繪圖如下：調幅后恒載下彎矩圖調幅后活載下彎矩圖柱內力組合第A軸柱內力組合層數(shù)截面內力恒載

SG活載

SQ左風

SW右風

SW地震

SE1.35SG+

1.4*0.7SQ1.2SG+1.4*

(SQ±0.6*SW)1.2SG+1.4*

(0.7*SQ±SW)1.2S重±1.3SE｜M｜max

及NNmax

及M左風右風左風右風左震右震5柱頂M-46.46-4.664.64-4.6438.66-67.29-58.38-66.17-53.82-66.81-8.29-108.81-108.81-67.29N203.7211.69-0.910.91-8.24286.48260.07261.59254.65257.19240.77262.19262.19286.48柱底M40.487.28-2.852.85-23.6961.7856.3761.1651.7259.7022.1583.7483.7461.78N226.2211.69-0.910.91-8.24316.85287.07288.59281.65284.19267.77289.19289.19316.854柱頂M-38.52-9.448.72-8.7265.11-61.25-52.12-66.76-43.27-67.6832.76-136.53-136.53-61.25N427.6158.21-3.243.24-27.73634.32591.90597.35565.64574.71512.01584.11584.11634.32柱底M39.078.84-6.586.58-49.1261.4153.7364.7946.3464.76-11.67116.04116.0461.41N450.1158.21-3.243.24-27.73664.69618.90624.35592.64601.71539.01611.11611.11664.693柱頂M-39.07-8.8411.68-11.6880.08-61.41-49.45-69.07-39.20-71.9051.92-156.29-156.29-61.41N651.38104.82-7.027.02-57.01982.09922.51934.30874.55894.21770.44918.66918.66982.09柱底M38.808.78-10.7810.78-73.9260.9849.8067.9140.0770.26-44.27147.92147.9260.98N673.88104.82-7.027.02-57.011012.46949.51961.30901.55921.21797.44945.66945.661012.462柱頂M-39.75-8.9914.74-14.7490.86-62.47-47.90-72.67-35.87-77.1565.02-171.21-171.21-62.47N875.19151.44-12.2812.28-94.061329.921251.931272.561181.451215.831018.811263.371263.371329.92柱底M45.1110.20-14.7414.74-90.8670.8956.0380.7943.4984.76-57.87178.37178.3770.89N897.69151.44-12.2812.28-94.061360.291278.931299.561208.451242.831045.811290.371290.371360.291柱頂M-23.90-5.4023.99-23.99170.92-37.56-16.09-56.39-0.39-67.56190.28-254.12-254.12-37.56N1097.98197.83-19.8919.89-147.371676.151577.831611.251483.601539.301244.691627.851627.851676.15柱底M11.952.70-29.3229.32-208.9018.78-6.5142.75-24.0658.03-255.61287.53287.5318.78N1126.73197.83-19.8919.89-147.371714.961612.331645.751518.101573.801279.191662.351662.351714.96第B軸柱內力組合層數(shù)截面內力恒載

SG活載

SQ左風

SW右風

SW地震

SE1.35SG+

1.4*0.7SQ1.2SG+1.4*

(SQ±0.6*SW)1.2SG+1.4*

(0.7*SQ±SW)1.2S重±1.3SE｜M｜max

及NNmax

及M左風右風左風右風左震右震5柱頂M28.682.946.55-6.5568.5941.6044.0333.0346.4728.13125.35-52.99125.3541.60N228.4716.06-2.712.71-29.66324.17294.37298.92286.11293.70245.24322.36245.24324.17柱底M-26.78-5.00-5.365.36-56.12-41.05-43.64-34.63-44.54-29.53-108.0937.82-108.09-41.05N250.9716.06-2.712.71-29.66354.55321.37325.92313.11320.70272.24349.36272.24354.554柱頂M27.246.1512.15-12.15114.2342.8051.5031.0955.7221.71184.88-112.12184.88-112.12N496.1884.27-10.0510.05-104.29752.43704.95721.84663.93692.07510.40781.55510.40781.55柱底M-27.18-5.97-12.1512.15-114.23-42.54-51.18-30.77-55.48-21.46-184.70112.30-184.70112.30N518.6884.27-10.0510.05-104.29782.80731.95748.84690.93719.07537.40808.55537.40808.553柱頂M27.185.9717.86-17.86154.0142.5455.9825.9763.4713.46236.41-164.01236.41-164.01N764.01152.39-22.8522.85-223.231180.761110.961149.351034.161098.14718.051298.45718.051298.45柱底M-27.14-5.97-17.8617.86-154.01-42.49-55.93-25.92-63.42-13.41-236.36164.06-236.36164.06N786.51152.39-22.8522.85-223.231211.131137.961176.351061.161125.14745.051325.45745.051325.452柱頂M27.396.0223.44-23.44181.7342.8860.9921.6171.585.95272.73-199.77272.73-199.77N1031.80220.50-40.4140.41-371.701609.021512.921580.801397.681510.82887.251853.67887.251853.67柱底M-29.34-6.45-23.4423.44-181.73-45.93-63.93-24.55-74.35-8.71-275.33197.17-275.33197.17N1054.30220.50-40.4140.41-371.701639.401539.921607.801424.681537.82914.251880.67914.251880.671柱頂M17.173.7831.03-31.03227.8926.8851.96-0.1767.75-19.13319.13-273.38319.13-273.38N1300.61288.84-62.9062.90-544.722038.891912.272017.941755.741931.861025.902442.171025.902442.17柱底M-8.58-1.89-37.9237.92-278.53-13.44-44.7918.91-65.2440.94-373.52350.66-373.52350.66N1329.36288.84-62.9062.90-544.722077.701946.772052.441790.241966.361060.402476.671060.402476.67第C軸柱內力組合層數(shù)截面內力恒載

SG活載

SQ左風

SW右風

SW地震

SE1.35SG+

1.4*0.7SQ1.2SG+1.4*

(SQ±0.6*SW)1.2SG+1.4*

(0.7*SQ±SW)1.2S重±1.3SE｜M｜max

及NNmax

及M左風右風左風右風左震右震5柱頂M-28.68-2.946.55-6.5568.59-41.60-33.03-44.03-28.13-46.4752.99-125.35-125.35-41.60N228.4716.062.71-2.7129.66324.17298.92294.37293.70286.11322.36245.24245.24324.17柱底M26.785.00-5.365.36-56.1241.0534.6343.6429.5344.54-37.82108.09108.0941.05N250.9716.062.71-2.7129.66354.55325.92321.37320.70313.11349.36272.24272.24354.554柱頂M-27.24-6.1512.15-12.15114.23-42.80-31.09-51.50-21.71-55.72112.12-184.88-184.88112.12N496.1884.2710.05-10.05104.29752.43721.84704.95692.07663.93781.55510.40510.40781.55柱底M27.185.97-12.1512.15-114.2342.5430.7751.1821.4655.48-112.30184.70184.70-112.30N518.6884.2710.05-10.05104.29782.80748.84731.95719.07690.93808.55537.40537.40808.553柱頂M-27.18-5.9717.86-17.86154.01-42.54-25.97-55.98-13.46-63.47164.01-236.41-236.41164.01N764.01152.3922.85-22.85223.231180.761149.351110.961098.141034.161298.45718.05718.051298.45柱底M27.145.97-17.8617.86-154.0142.4925.9255.9313.4163.42-164.06236.36236.36-164.06N786.51152.3922.85-22.85223.231211.131176.351137.961125.141061.161325.45745.05745.051325.452柱頂M-27.39-6.0223.44-23.44181.73-42.88-21.61-60.99-5.95-71.58199.77-272.73-272.73199.77N1031.80220.5040.41-40.41371.701609.021580.801512.921510.821397.681853.67887.25887.251853.67柱底M29.346.45-23.4423.44-181.7345.9324.5563.938.7174.35-197.17275.33275.33-197.17N1054.30220.5040.41-40.41371.701639.401607.801539.921537.821424.681880.67914.25914.251880.671柱頂M-17.17-3.7831.03-31.03227.89-26.880.17-51.9619.13-67.75273.38-319.13-319.13273.38N1300.61288.8462.90-62.90544.722038.892017.941912.271931.861755.742442.171025.901025.902442.17柱底M8.581.89-37.9237.92-278.5313.44-18.9144.79-40.9465.24-350.66373.52373.52-350.66N1329.36288.8462.90-62.90544.722077.702052.441946.771966.361790.242476.671060.401060.402476.67第D軸柱內力組合層數(shù)截面內力恒載

SG活載

SQ左風

SW右風

SW地震

SE1.35SG+

1.4*0.7SQ1.2SG+1.4*

(SQ±0.6*SW)1.2SG+1.4*

(0.7*SQ±SW)1.2S重±1.3SE｜M｜max

及NNmax

及M左風右風左風右風左震右震5柱頂M46.464.664.64-4.6438.6667.2966.1758.3866.8153.82108.818.29108.8167.29N203.7211.690.91-0.918.24286.48261.59260.07257.19254.65262.19240.77262.19286.48柱底M-40.48-7.28-2.852.85-23.69-61.78-61.16-56.37-59.70-51.72-83.74-22.15-83.74-61.78N226.2211.690.91-0.918.24316.85288.59287.07284.19281.65289.19267.77289.19316.854柱頂M38.529.448.72-8.7265.1161.2566.7652.1267.6843.27136.53-32.76136.5361.25N427.6158.213.24-3.2427.73634.32597.35591.90574.71565.64584.11512.01584.11634.32柱底M-39.07-8.84-6.586.58-49.12-61.41-64.79-53.73-64.76-46.34-116.0411.67-116.04-61.41N450.1158.213.24-3.2427.73664.69624.35618.90601.71592.64611.11539.01611.11664.693柱頂M39.078.8411.68-11.6880.0861.4169.0749.4571.9039.20156.29-51.92156.2961.41N651.38104.827.02-7.0257.01982.09934.30922.51894.21874.55918.66770.44918.66982.09柱底M-38.80-8.78-10.7810.78-73.92-60.98-67.91-49.80-70.26-40.07-147.9244.27-147.92-60.98N673.88104.827.02-7.0257.011012.46961.30949.51921.21901.55945.66797.44945.661012.462柱頂M39.758.9914.74-14.7490.8662.4772.6747.9077.1535.87171.21-65.02171.2162.47N875.19151.4412.28-12.2894.061329.921272.561251.931215.831181.451263.371018.811263.371329.92柱底M-45.11-10.20-14.7414.74-90.86-70.89-80.79-56.03-84.76-43.49-178.3757.87-178.37-70.89N897.69151.4412.28-12.2894.061360.291299.561278.931242.831208.451290.371045.811290.371360.291柱頂M23.905.4023.99-23.99170.9237.5656.3916.0967.560.39254.12-190.28254.1237.56N1097.98197.8319.89-19.89147.371676.151611.251577.831539.301483.601627.851244.691627.851676.15柱底M-11.95-2.70-29.3229.32-208.90-18.78-42.756.51-58.0324.06-287.53255.61-287.53-18.78N1126.73197.8319.89-19.89147.371714.961645.751612.331573.801518.101662.351279.191662.351714.96根據(jù)彎矩計算剪力使用下面公式：V以A軸底層為例，計算一榀框架柱剪力，并進行匯總：A軸:框架柱剪力表柱號層數(shù)恒載

SGK活載

SQK左風

SWK右風

SWK左震

SEK1.35SG+

1.4*0.7SQ1.2SG+1.4*(SQ±0.6*SW)1.2SG+1.4*(0.7*SQ±SW)1.2S重+1.3SE設計值左風右風左風右風左震右震A524.153.32-2.082.08-17.3235.8631.8835.3829.3235.158.4653.4953.49421.555.08-4.254.25-31.7334.0729.4036.5424.8936.79-12.3470.1670.16321.634.89-6.246.24-42.7833.9927.5638.0422.0139.48-26.7284.5084.50223.575.33-8.198.19-50.4837.0428.8742.6322.0444.97-34.1497.1197.1117.791.76-11.5911.59-82.5712.242.0821.55-5.1527.30-96.94117.74117.74B5-15.41-2.21-3.313.31-34.64-22.97-24.37-18.81-25.29-16.02-64.8525.21-64.854-15.12-3.37-6.756.75-63.46-23.71-28.53-17.19-30.90-12.00-102.6662.33-102.663-15.09-3.32-9.929.92-85.56-23.63-31.09-14.42-35.25-7.47-131.3391.13-131.332-15.76-3.46-13.0213.02-100.96-24.67-34.69-12.82-40.53-4.07-152.24110.26-152.241-5.60-1.23-14.9914.99-110.09-8.77-21.034.15-28.9113.06-150.57135.66-150.57C515.412.21-3.313.31-34.6422.9718.8124.3716.0225.29-25.2164.8564.85415.123.37-6.756.75-63.4623.7117.1928.5312.0030.90-62.33102.66102.66315.093.32-9.929.92-85.5623.6314.4231.097.4735.25-91.13131.33131.33215.763.46-13.0213.02-100.9624.6712.8234.694.0740.53-110.26152.24152.2415.601.23-14.9914.99-110.098.77-4.1521.03-13.0628.91-135.66150.57150.57D5-24.15-3.32-2.082.08-17.32-35.86-35.38-31.88-35.15-29.32-53.49-8.46-53.494-21.55-5.08-4.254.25-31.73-34.07-36.54-29.40-36.79-24.89-70.1612.34-70.163-21.63-4.89-6.246.24-42.78-33.99-38.04-27.56-39.48-22.01-84.5026.72-84.502-23.57-5.33-8.198.19-50.48-37.04-42.63-28.87-44.97-22.04-97.1134.14-97.111-7.79-1.76-11.5911.59-82.57-12.24-21.55-2.08-27.305.15-117.7496.94-117.74梁內力組合按照荷載規(guī)范，對框架梁的內力進行組合，組合過程以及設計值見下表：第5層梁內力組合表梁跨截面內力恒載

SG活載

SQ左風

SW右風

SW地震

SE1.35SG+

1.4*0.7SQ1.2SG+1.4*(SQ±0.6*SW)1.2SG+1.4*(0.7*SQ±SW)1.2S重±1.3SE設計值左風右風左風右風左震右震AB左端M-41.81-4.194.64-4.6438.66-60.55-52.14-59.94-47.78-60.77-2.43-102.94-102.94V64.204.65-0.910.91-8.2491.2382.7984.3180.3282.8769.1290.5490.54右端M-70.43-5.21-2.212.21-23.11-100.19-93.67-89.95-92.72-86.53-117.69-57.60-117.69V-72.68-4.95-0.910.91-8.24-102.97-94.91-93.38-93.34-90.79-100.90-79.47-100.90BC左端M-44.73-2.574.34-4.3445.48-62.90-53.63-60.92-50.12-62.273.91-114.34-114.34V14.230.91-3.623.62-37.9020.1015.3121.3912.9023.04-31.6566.8966.89右端M-44.73-2.57-4.344.34-45.48-62.90-60.92-53.63-62.27-50.12-114.343.91-114.34V-14.23-0.91-3.623.62-37.90-20.10-21.39-15.31-23.04-12.90-66.8931.65-66.89CD左端M-70.43-5.212.21-2.2123.11-100.19-89.95-93.67-86.53-92.72-57.60-117.69-117.69V72.684.95-0.910.91-8.24102.9793.3894.9190.7993.3479.47100.90100.90右端M-41.81-4.19-4.644.64-38.66-60.55-59.94-52.14-60.77-47.78-102.94-2.43-102.94V-64.20-4.65-0.910.91-8.24-91.23-84.31-82.79-82.87-80.32-90.54-69.12-90.54AB跨中M72.214.500.000.000.00101.8992.9592.9591.0691.0689.3583.95101.89BCM4.270.270.000.000.006.035.505.505.395.395.294.966.03CDM72.214.500.000.000.00101.8992.9592.9591.0691.0689.3583.95101.89第4層梁內力組合表梁跨截面內力恒載

SG活載

SQ左風

SW右風

SW地震

SE1.35SG+

1.4*0.7SQ1.2SG+1.4*(SQ±0.6*SW)1.2SG+1.4*(0.7*SQ±SW)1.2S重±1.3SE設計值左風右風左風右風左震右震AB左端M-71.17-15.0711.57-11.5788.80-110.85-96.78-116.22-83.97-116.3720.99-209.89-209.89V81.6018.36-2.332.33-19.49128.15121.67125.58112.65119.1783.60134.27134.27右端M-87.14-19.74-5.905.90-57.40-136.98-137.16-127.25-132.17-115.65-191.03-41.79-191.03V-86.34-19.74-2.332.33-19.49-135.90-133.20-129.29-126.22-119.69-140.79-90.11-140.79BC左端M-38.39-9.6811.61-11.61112.95-61.31-49.87-69.37-39.30-71.8194.96-198.71-198.71V11.004.51-9.679.67-94.1219.2711.3927.644.0831.16-106.45138.26138.26右端M-38.39-9.68-11.6111.61-112.95-61.31-69.37-49.87-71.81-39.30-198.7194.96-198.71V-11.00-4.51-9.679.67-94.12-19.27-27.64-11.39-31.16-4.08-138.26106.45-138.26CD左端M-87.14-19.745.90-5.9057.40-136.98-127.25-137.16-115.65-132.17-41.79-191.03-191.03V86.3419.74-2.332.33-19.49135.90129.29133.20119.69126.2290.11140.79140.79右端M-71.17-15.07-11.5711.57-88.80-110.85-116.22-96.78-116.37-83.97-209.8920.99-209.89V-81.60-18.36-2.332.33-19.49-128.15-125.58-121.67-119.17-112.65-134.27-83.60-134.27AB跨中M78.7218.310.000.000.00124.22120.10120.10112.41112.41105.4583.48124.22BCM3.301.350.000.000.005.785.855.855.285.284.773.155.85CDM78.7218.310.000.000.00124.22120.10120.10112.41112.41105.4583.48124.22第3層梁內力組合表梁跨截面內力恒載

SG活載

SQ左風

SW右風

SW地震

SE1.35SG+

1.4*0.7SQ1.2SG+1.4*(SQ±0.6*SW)1.2SG+1.4*(0.7*SQ±SW)1.2S重±1.3SE設計值左風右風左風右風左震右震AB左端M-70.40-15.9218.26-18.26129.20-110.64-91.43-122.11-74.52-125.6573.93-261.99-261.99V81.4818.45-3.783.78-29.28128.08120.43126.78110.57121.1570.78146.91146.91右端M-87.24-19.98-10.1110.11-90.38-137.35-141.15-124.17-138.42-110.11-234.170.82-234.17V-86.46-19.65-3.783.78-29.28-135.98-134.44-128.09-128.30-117.72-153.61-77.48-153.61BC左端M-38.21-9.2019.90-19.90177.86-60.60-42.02-75.45-27.01-82.73179.85-282.59-282.59V11.004.51-16.5816.58-148.2219.275.5933.44-5.5940.83-176.78208.59208.59右端M-38.21-9.20-19.9019.90-177.86-60.60-75.45-42.02-82.73-27.01-282.59179.85-282.59V-11.00-4.51-16.5816.58-148.22-19.27-33.44-5.59-40.835.59-208.59176.78-208.59CD左端M-87.24-19.9810.11-10.1190.38-137.35-124.17-141.15-110.11-138.420.82-234.17-234.17V86.4619.65-3.783.78-29.28135.98128.09134.44117.72128.3077.48153.61153.61右端M-70.40-15.92-18.2618.26-129.20-110.64-122.11-91.43-125.65-74.52-261.9973.93-261.99V-81.48-18.45-3.783.78-29.28-128.08-126.78-120.43-121.15-110.57-146.91-70.78-146.91AB跨中M78.7217.860.000.000.00123.77119.47119.47111.97111.97105.1883.75123.77BCM3.301.350.000.000.005.785.855.855.285.284.773.155.85CDM78.7217.860.000.000.00123.77119.47119.47111.97111.97105.1883.75123.77第2層梁內力組合表梁跨截面內力恒載

SG活載

SQ左風

SW右風

SW地震

SE1.35SG+

1.4*0.7SQ1.2SG+1.4*(SQ±0.6*SW)1.2SG+1.4*(0.7*SQ±SW)1.2S重±1.3SE設計值左風右風左風右風左震右震AB左端M-70.78-16.0125.52-25.52164.78-111.24-85.91-128.79-64.90-136.35119.67-308.76-308.76V81.5218.46-5.265.26-37.05128.14119.25128.09108.55123.2860.73157.06157.06右端M-87.29-19.99-13.9213.92-113.12-137.43-144.43-121.04-143.83-104.85-263.8030.31-263.80V-86.42-19.64-5.265.26-37.05-135.91-135.62-126.78-130.32-115.59-163.65-67.32-163.65BC左端M-38.10-9.1727.38-27.38222.62-60.42-35.56-81.56-16.37-93.04238.18-340.63-340.63V11.004.51-22.8222.82-185.5219.270.3538.68-14.3349.57-225.27257.08257.08右端M-38.10-9.17-27.3827.38-222.62-60.42-81.56-35.56-93.04-16.37-340.63238.18-340.63V-11.00-4.51-22.8222.82-185.52-19.27-38.68-0.35-49.5714.33-257.08225.27-257.08CD左端M-87.29-19.9913.92-13.92113.12-137.43-121.04-144.43-104.85-143.8330.31-263.80-263.80V86.4219.64-5.265.26-37.05135.91126.78135.62115.59130.