宿舍樓結構設計中的內力組合計算過程案例本章內力單位：彎矩——kN.m，剪力與軸力——kN，本章內力方向：軸力——受壓為正，受拉為負，梁彎矩——上部受拉為負，下部受拉為正，其他內力——順時針為正，負時針為負。內力組合公式如下所示（1）1.31.5（2）1.31.5（3）1.31.5（4）1.1豎向荷載彎矩調整1）恒載、活載彎矩調幅EQMl0,Mr0：調幅前梁左梁右彎矩，β為調幅系數EQM中：彎矩調幅前梁跨中彎矩標準值EQM：彎矩調幅后梁跨中彎矩標準值，調幅后的跨中彎矩取調幅后的跨中彎矩和M0/2之間的最大值。其中M0為梁兩端按簡支計算的跨之彎矩。表5-1-1恒載彎矩調幅層次梁跨β梁左跨中梁右調整前調整后M0/2調整前調整后調整前調整后4AB跨0.8-57.70-46.1662.0262.2174.58-65.95-52.76BC跨0.8-15.28-12.235.295-4.695.30-15.28-12.23CD跨0.8-65.95-52.7662.0262.2174.58-57.70-46.163AB跨0.8-80.81-64.6567.9454.0970.45-82.77-66.21BC跨0.8-9.13-7.314.2558.394.26-9.13-7.31CD跨0.8-82.77-66.2167.9454.0970.45-80.81-64.652AB跨0.8-79.38-63.5167.9455.1471.29-82.09-65.67BC跨0.8-9.44-7.554.255-0.934.26-9.44-7.55CD跨0.8-82.09-65.6767.9455.1471.29-79.38-63.511AB跨0.8-72.74-58.2067.9460.7875.80-77.44-61.96BC跨0.8-11.70-9.364.255-2.244.26-11.70-9.36CD跨0.8-77.44-61.9667.9460.7875.80-72.74-58.20表5-1-2活載彎矩調幅層次梁跨β梁左跨中梁右調整前調整后M0/2調整前調整后調整前調整后4AB跨0.8-5.90-4.724.823.684.87-6.04-4.83BC跨0.8-0.73-0.590.410.090.41-0.73-0.59CD跨0.8-6.04-4.834.823.684.87-5.90-4.723AB跨0.8-21.16-16.9319.28516.8221.17-22.33-17.86BC跨0.8-3.45-2.761.64-0.171.64-3.45-2.76CD跨0.8-22.33-17.8619.28516.8221.17-21.16-16.932AB跨0.8-22.07-17.6619.28516.0420.55-22.99-18.39BC跨0.8-3.16-2.531.640.121.64-3.16-2.53CD跨0.8-22.99-18.3919.28516.0420.55-22.07-17.661AB跨0.8-20.22-16.1819.28517.6021.79-21.72-17.38BC跨0.8-3.77-3.021.64-0.491.64-3.77-3.02CD跨0.8-21.72-17.3819.28517.6021.79-20.22-16.182.5.2梁內力組合表5-34層框架梁內力組合梁跨截面內力①恒載②活載③風載④地震1.35①+1.4②1.2①+1.4(②±0.6③)1.2①+1.4(0.7②±③)1.2(①+0.5②)±1.3④)設計值風→風←風→風←震→震←AB梁左M-44.11-4.55.6297.32-64.09-59.04-69.15-53.64-70.570.88-182.15-182.15V60.164.48-1.6-26.7284.9383.4986.3780.5185.3140.14109.62109.62跨中M71.824.690.41510.47100.4100.77100.0398.9197.67102.6175.39102.61V-1.21-0.02-1.6-26.72-1.6-3.04-0.16-3.990.81-36.233.27-36.2梁右M-50.4-4.59-4.79-76.38-72.41-76.72-68.09-77.52-63.15-162.5336.06-162.53V-62.58-4.52-1.6-26.72-88.13-89.57-86.69-88.5-83.7-112.54-43.07-112.54BC梁左M-11.47-0.522.3237.05-15.69-13.6-17.78-11.98-18.9434.09-62.24-62.24V11.050.78-1.86-29.6415.5413.8617.2112.3917.97-24.852.2652.26跨中M4.2750.325006.056.056.055.95.95.335.336.05V00-1.86-29.640-1.671.67-2.792.79-38.5338.53-38.53梁右M-11.47-0.52-2.32-37.05-15.69-17.78-13.6-18.94-11.98-62.2434.09-62.24V-11.05-0.78-1.86-29.64-15.54-17.21-13.86-17.97-12.39-52.2624.8-52.26CD梁左M-50.4-4.594.7976.38-72.41-68.09-76.72-63.15-77.5236.06-162.53-162.53V62.584.52-1.6-26.7288.1386.6989.5783.788.543.07112.54112.54跨中M71.824.69-0.415-10.47100.4100.03100.7797.6798.9175.39102.61102.61V1.210.02-1.6-26.721.60.163.04-0.813.99-33.2736.236.2梁右M-44.11-4.5-5.62-97.32-64.09-69.15-59.04-70.5-53.64-182.1570.88-182.15V-60.16-4.48-1.6-26.72-84.93-86.37-83.49-85.31-80.51-109.62-40.14-109.62表5-43層框架梁內力組合梁跨截面內力①恒載②活載③風載④地震1.35①+1.4②1.2①+1.4(②±0.6③)1.2①+1.4(0.7②±③)1.2(①+0.5②)±1.3④)設計值風→風←風→風←震→震←AB梁左M-62.06-16.1515.35206.46-104.9-91.09-118.72-74.61-120.66184.24-352.56-352.56V71.3217.83-4.3-60.77119.46115.59123.33104.99117.8917.28175.28175.28跨中M68.0520.341.3758.96118.98120.21117.74111.88107.76105.5182.22120.21V-0.29-0.17-4.3-60.77-0.63-4.53.24-7.015.89-79.4578.55-79.45梁右M-63.56-17.02-12.6-188.54-108.16-119.5-96.82-119.4-81.6-331.59158.62-331.59V-71.9-18.17-4.3-60.77-120.73-124.6-116.86-119-106.1-176.18-18.18-176.18BC梁左M-6.75-2.56.1291.47-12.53-7.02-18.03-2.22-20.58109.31-128.51-128.51V9.073.13-4.9-73.1816.4912.0820.97.7322.43-82.37107.9107.9跨中M3.451.3006.446.446.445.855.854.924.926.44V00-4.9-73.180-4.414.41-7.357.35-95.1395.13-95.13梁右M-6.75-2.5-6.12-91.47-12.53-18.03-7.02-20.58-2.22-128.51109.31-128.51V-9.07-3.13-4.9-73.18-16.49-20.9-12.08-22.43-7.73-107.982.37-107.9CD梁左M-63.56-17.0212.6188.54-108.16-96.82-119.5-81.6-119.4158.62-331.59-331.59V71.918.17-4.3-60.77120.73116.86124.6106.111918.18176.18176.18跨中M68.0520.34-1.375-8.96118.98117.74120.21107.76111.8882.22105.51120.21V0.290.17-4.3-60.770.63-3.244.5-5.897.01-78.5579.4579.45梁右M-62.06-16.15-15.35-206.46-104.9-118.72-91.09-120.66-74.61-352.56184.24-352.56V-71.32-17.83-4.3-60.77-119.46-123.33-115.59-117.89-104.99-175.28-17.28-175.28表5-52層框架梁內力組合梁跨截面內力①恒載②活載③風載④地震1.35①+1.4②1.2①+1.4(②±0.6③)1.2①+1.4(0.7②±③)1.2(①+0.5②)±1.3④)設計值風→風←風→風←震→震←AB梁左M-60.98-16.8526.11312.92-104.55-81.05-128.05-57.8-136.13323.51-490.08-490.08V71.2117.87-7.57-89.92119.38112.57126.1999.98122.69-20.72213.07213.07跨中M68.8419.741.49520.67119.1120.45117.76112.46107.98121.3267.58121.32V-0.4-0.13-7.57-89.92-0.72-7.536.1-12.0110.7-117.45116.34-117.45梁右M-63.05-17.52-23.12-271.58-108.25-129.05-87.44-135.04-65.68-439.23266.88-439.23V-72.01-18.13-7.57-89.92-120.81-127.62-114-124-101.29-214.1919.61-214.19BC梁左M-7-2.2611.21131.75-12.49-2.4-22.585.34-28.29161.52-181.03-181.03V9.073.13-8.97-105.416.498.4124.561.6228.53-124.26149.78149.78跨中M3.451.3006.446.446.445.855.854.924.926.44V00-8.97-105.40-8.078.07-13.4613.46-137.02137.02-137.02梁右M-7-2.26-11.21-131.75-12.49-22.58-2.4-28.295.34-181.03161.52-181.03V-9.07-3.13-8.97-105.4-16.49-24.56-8.41-28.53-1.62-149.78124.26-149.78CD梁左M-63.05-17.5223.12271.58-108.25-87.44-129.05-65.68-135.04266.88-439.23-439.23V72.0118.13-7.57-89.92120.81114127.62101.29124-19.61214.19214.19跨中M68.8419.74-1.495-20.67119.1117.76120.45107.98112.4667.58121.32121.32V0.40.13-7.57-89.920.72-6.17.53-10.712.01-116.34117.45117.45梁右M-60.98-16.85-26.11-312.92-104.55-128.05-81.05-136.13-57.8-490.08323.51-490.08V-71.21-17.87-7.57-89.92-119.38-126.19-112.57-122.69-99.98-213.0720.72-213.07表5-61層框架梁內力組合梁跨截面內力①恒載②活載③風載④地震1.35①+1.4②1.2①+1.4(②±0.6③)1.2①+1.4(0.7②±③)1.2(①+0.5②)±1.3④)設計值風→風←風→風←震→震←AB梁左M-55.89-15.4439.35393.7-95.82-60.4-131.23-29.84-147.89435.48-588.14-588.14V70.9317.79-11.2-113.89118.89108.81128.9794.09127.69-52.27243.85243.85跨中M73.1920.932.9523.55126.54129.2123.89121.55112.713169.77131V-0.68-0.21-11.2-113.89-1.2-11.288.88-17.915.7-149147.12-149梁右M-59.44-16.54-33.45-346.6-102.08-132.19-71.98-144.81-44.46-531.83369.33-531.83V-72.29-18.21-11.2-113.89-121.29-131.37-111.21-129.9-96.3-245.7350.38-245.73BC梁左M-8.81-2.7516.23168.14-15.58-0.97-30.1910-38.69206.36-230.8-230.8V9.073.13-12.98-134.5116.494.828.17-4.3934.55-162.1187.63187.63跨中M3.451.3006.446.446.445.855.854.924.926.44V00-12.98-134.510-11.6811.68-19.4719.47-174.86174.86-174.86梁右M-8.81-2.75-16.23-168.14-15.58-30.19-0.97-38.6910-230.8206.36-230.8V-9.07-3.13-12.98-134.51-16.49-28.17-4.8-34.554.39-187.63162.1-187.63CD梁左M-59.44-16.5433.45346.6-102.08-71.98-132.19-44.46-144.81369.33-531.83-531.83V72.2918.21-11.2-113.89121.29111.21131.3796.3129.9-50.38245.73245.73跨中M73.1920.93-2.95-23.55126.54123.89129.2112.7121.5569.77131131V0.680.21-11.2-113.891.2-8.8811.28-15.717.9-147.12149149梁右M-55.89-15.44-39.35-393.7-95.82-131.23-60.4-147.89-29.84-588.14435.48-588.14V-70.93-17.79-11.2-113.89-118.89-128.97-108.81-127.69-94.09-243.8552.27-243.852.5.3柱內力組合表5-7A軸柱內力組合梁跨截面內力①恒載②活載③風載④地震1.35①+1.4②1.2①+1.4(②±0.6③)1.2①+1.4(0.7②±③)1.2(①+0.5②)±1.3④)|M|max及相應的NNmin及相應的MNmax及相應的M風→風←風→風←震→震←4柱頂M55.145.62-5.62-97.3280.1175.0585.1769.1586.01-56.98196.05196.05-56.98196.05N214.113.0-1.6-26.72297.83296.39299.27289.58294.38229.98299.46299.46229.98299.46V-26.88-4.012.441.59-40.96-38.8-43.12-35.55-42.7519.41-88.73-88.7319.41-88.73柱底M41.618.83-3.02-52.467.3364.6170.0558.8367.89-12.89123.35123.35-12.89123.35N246.513.0-1.6-26.72339.95338.51341.39331.7336.5268.86338.34338.34268.86338.34V-26.88-4.012.441.59-40.96-38.8-43.12-35.55-42.7519.41-88.73-88.7319.41-88.733柱頂M35.9611.36-12.33-154.0663.7852.6874.8840.1877.17-150.31250.24250.24-150.31250.24N478.864.8-5.9-87.49719.64714.33724.95681.63699.33499.7727.18727.18499.7727.18V-20.4-6.035.7177.81-35.57-30.43-40.7-24.29-41.4273.06-129.25-129.2573.06-129.25柱底M37.4910.36-8.22-126.0564.2856.8871.6747.2871.94-112.66215.07215.07-112.66215.07N511.264.8-5.9-87.49761.76756.45767.07723.75741.45538.58766.06766.06538.58766.06V-20.4-6.035.7177.81-35.57-30.43-40.7-24.29-41.4273.06-129.25-129.2573.06-129.252柱頂M38.7310.70-17.89-186.8766.450.382.534.7588.42-190.04295.83295.83-190.04295.83N743.4116.7-13.47-177.411141.471129.351153.591068.751109.16731.471192.731192.73731.471192.73V-23.46-6.488.97102.99-40.22-32.15-48.29-23.85-50.76101.85-165.93-165.93101.85-165.93柱底M45.7112.63-14.4-183.978.3865.4291.3451.0994.29-176.64301.5301.5-176.64301.5N775.8116.7-13.47-177.411183.591171.471195.711110.871151.28770.351231.611231.61770.351231.61V-23.46-6.488.97102.99-40.22-32.15-48.29-23.85-50.76101.85-165.93-165.93101.85-165.931柱頂M24.156.67-24.95-209.841.418.9563.860.9875.83-239.75305.73305.73-239.75305.73N1007.7168.5-24.67-291.31562.761540.561584.961449.931523.94931.651689.031689.03931.651689.03V-7.88-2.1713.36125.99-13.5-1.48-25.527.52-32.56153.03-174.55-174.55153.03-174.55柱底M12.083.33-36.5-369.7620.7-12.1553.55-35.5573.95-464.19497.18497.18-464.19497.18N1049.1168.5-24.67-291.31616.581594.381638.781503.751577.76981.331738.711738.71981.331738.71V-7.88-2.1713.36125.99-13.5-1.48-25.527.52-32.56153.03-174.55-174.55153.03-174.55表5-8B軸柱內力組合梁跨截面內力①恒載②活載③風載④地震1.35①+1.4②1.2①+1.4(②±0.6③)1.2①+1.4(0.7②±③)1.2(①+0.5②)±1.3④)|M|max及相應的NNmin及相應的MNmax及相應的M風→風←風→風←震→震←4柱頂M-48.66-5.09-7.11-113.43-70.9-77.3-64.5-79.27-57.94-208.9186.01-208.9186.01-208.91N259.218.00.262.92363.96364.19363.73356.25355.47325.64318.04325.64318.04325.64V-23.84-3.643.1153.86-36.45-33.65-39.25-30.15-39.4839.23-100.8139.23-100.8139.23柱底M-37.150.00-4.09-80.47-48.3-51.98-44.62-54.43-42.16-149.1960.03-149.1960.03-149.19N291.618.00.262.92406.08406.31405.85398.37397.59364.52356.92364.52356.92364.52V-23.84-3.643.1153.86-36.45-33.65-39.25-30.15-39.4839.23-100.8139.23-100.8139.233柱頂M-33.87-10.14-14.63-199.54-59.23-72.4-46.06-76.61-32.72-306.12212.68-306.12212.68-306.12N573.490.20.8615.33880.72881.49879.95841.42838.84762.13722.27762.13722.27762.13V-19.02-5.437.39100.78-32.87-26.22-39.52-19.34-41.51104.93-157.1104.93-157.1104.93柱底M-34.59-9.42-11.97-163.26-59.09-69.87-48.32-72.81-36.9-259.4165.08-259.4165.08-259.4N605.890.20.8615.33922.84923.61922.07883.54880.96801.01761.15801.01761.15801.01V-19.02-5.437.39100.78-32.87-26.22-39.52-19.34-41.51104.93-157.1104.93-157.1104.932柱頂M-35.48-9.66-22.36-240.07-60.62-80.74-40.49-89.81-22.73-360.46263.72-360.46263.72-360.46N887.7162.32.2630.811397.461399.491395.431327.821321.041202.671122.571202.671122.571202.67V-21.22-5.7811.61133.37-36.26-25.81-46.71-16.24-51.07144.45-202.31144.45-202.31144.45柱底M-40.91-11.14-19.44-240.07-69.89-87.38-52.39-94.04-35.72-367.86256.32-367.86256.32-367.86N920.1162.32.2630.811439.581441.611437.551369.941363.161241.551161.451241.551161.451241.55V-21.22-5.7811.61133.37-36.26-25.81-46.71-16.24-51.07144.45-202.31144.45-202.31144.451柱頂M-22.39-6.10-30.24-274.67-38.26-65.47-11.04-80.879.85-387.6326.54-387.6326.54-387.6N1202.3234.54.0451.431914.741918.381911.11815.281803.161650.321516.61650.321516.61650.32V-7.3-1.9915.18143.19-12.481.19-26.1411.19-34.35176.19-196.1176.19-196.1176.19柱底M-11.19-3.05-39.59-384.01-19.12-54.7516.51-77.1341.64-514.47483.96-514.47483.96-514.47N1243.7234.54.0451.431968.561972.21964.921869.11856.9817001566.2817001566.281700V-7.88-1.9915.18143.19-13.230.43-26.8910.44-35.1175.5-196.8175.5-196.8175.5表5-9C軸柱內力組合梁跨截面內力①恒載②活載③風載④地震1.35①+1.4②1.2①+1.4(②±0.6③)1.2①+1.4(0.7②±③)1.2(①+0.5②)±1.3④)|M|max及相應的NNmin及相應的MNmax及相應的M風→風←風→風←震→震←4柱頂M48.665.09-7.11-113.4370.964.577.357.9479.27-86.01208.91208.91208.91-86.01N259.218.00.262.92363.96364.19363.73356.25355.47325.64318.04318.04318.04325.64V23.843.643.1153.8636.4539.2533.6539.4830.15100.81-39.23-39.23-39.23100.81柱底M37.150.00-4.09-80.4748.344.6251.9842.1654.43-60.03149.19149.19149.19-60.03N291.618.00.262.92406.08406.31405.85398.37397.59364.52356.92356.92356.92364.52V23.843.643.1153.8636.4539.2533.6539.4830.15100.81-39.23-39.23-39.23100.813柱頂M33.8710.14-14.63-199.5459.2346.0672.432.7276.61-212.68306.12306.12306.12-212.68N573.490.20.8615.33880.72881.49879.95841.42838.84762.13722.27722.27722.27762.13V19.025.437.39100.7832.8739.5226.2241.5119.34157.1-104.93-104.93-104.93157.1柱底M34.599.42-11.97-163.2659.0948.3269.8736.972.81-165.08259.4259.4259.4-165.08N605.890.20.8615.33922.84923.61922.07883.54880.96801.01761.15761.15761.15801.01V19.025.437.39100.7832.8739.5226.2241.5119.34157.1-104.93-104.93-104.93157.12柱頂M35.489.66-22.36-240.0760.6240.4980.7422.7389.81-263.72360.46360.46360.46-263.72N887.7162.32.2630.811397.461399.491395.431327.821321.041202.671122.571122.571122.571202.67V21.225.7811.61133.3736.2646.7125.8151.0716.24202.31-144.45-144.45-144.45202.31柱底M40.9111.14-19.44-240.0769.8952.3987.3835.7294.04-256.32367.86367.86367.86-256.32N920.1162.32.2630.811439.581441.611437.551369.941363.161241.551161.451161.451161.451241.55V21.225.7811.61133.3736.2646.7125.8151.0716.24202.31-144.45-144.45-144.45202.311柱頂M22.396.10-30.24-274.6738.2611.0465.47-9.8580.87-326.54387.6387.6387.6-326.54N1202.3234.54.0451.431914.741918.381911.11815.281803.161650.321516.61516.61516.61650.32V7.301.9915.18143.1912.4826.14-1.1934.35-11.19196.1-176.19-176.19-176.19196.1柱底M11.193.05-39.59-384.0119.12-16.5154.75-41.6477.13-483.96514.47514.47514.47-483.96N1243.7234.54.0451.431968.561972.21964.921869.11856.9817001566.281566.281566.281700V7.881.9915.18143.1913.2326.89-0.4335.1-10.44196.8-175.5-175.5-175.5196.8表5-10D軸柱內力組合梁跨截面內力①恒載②活載③風載④地震1.35①+1.4②1.2①+1.4(②±0.6③)1.2①+1.4(0.7②±③)1.2(①+0.5②)±1.3④)|M|max及相應的NNmin及相應的MNmax及相應的M風→風←風→風←震→震←4柱頂M-55.14-5.62-5.62-97.32-80.11-85.17-75.05-86.01-69.15-196.0556.98-196.0556.98-196.05N214.113.01.6026.72297.83299.27296.39294.38289.58299.46229.98299.46229.98299.46V26.884.012.4041.5940.9643.1238.842.7535.5588.73-19.4188.73-19.4188.73柱底M-41.61-8.83-3.02-52.4-67.33-70.05-64.61-67.89-58.83-123.3512.89-123.3512.89-123.35N246.513.01.6026.72339.95341.39338.51336.5331.7338.34268.86338.34268.86338.34V26.884.012.4041.5940.9643.1238.842.7535.5588.73-19.4188