《建筑結構設計中恒荷載內力計算案例綜述》

建筑結構設計中恒荷載內力計算案例綜述1.1彎矩分配系數A軸柱頂層EQ\f(4×83077,4×(83077+57214))=0.592EQ\f(4×57214,4×(83077+57214))=0.408B軸柱頂層EQ\f(4×57214,4×(57214+83077+45563))=0.308EQ\f(4×83077,4×(57214+83077+45563))=0.447EQ\f(4×45563,4×(57214+83077+45563))=0.245A軸柱標準層EQ\f(4×83077,4×(83077×2+57214))=0.372EQ\f(4×83077,4×(83077×2+57214))=0.372EQ\f(4×57214,4×(83077×2+57214))=0.256B軸柱標準層EQ\f(4×57214,4×(57214+83077×2+45563))=0.213EQ\f(4×83077,4×(57214+83077×2+45563))=0.309EQ\f(4×83077,4×(57214+83077×2+45563))=0.309EQ\f(4×45563,4×(57214+83077×2+45563))=0.169A軸柱底層EQ\f(4×83077,4×(83077+66804+57214))=0.401EQ\f(4×66804,4×(83077+66804+57214))=0.323EQ\f(4×57214,4×(83077+66804+57214))=0.276B軸柱底層EQ\f(4×57214,4×(57214+83077+66804+45563))=0.226EQ\f(4×83077,4×(57214+83077+66804+45563))=0.329EQ\f(4×66804,4×(57214+83077+66804+45563))=0.264EQ\f(4×45563,4×(57214+83077+66804+45563))=0.1801.2恒載固端彎矩計算表4-1桿件的固端彎矩荷載形式計算簡圖計算公式均布荷載表4-2恒荷載的跨中及固端彎矩樓層位置線載大小梁計算長度(m)固端彎矩跨中彎矩屋面AB/CD跨21.3297.2092.14138.21BC跨12.6373.009.4814.22樓面AB/CD跨24.8007.20107.14160.70BC跨10.1063.007.5811.371.3恒荷載彎矩二次分配過程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0.5920.4080.3080.4470.2450.2450.4470.3080.4080.592偏心矩偏心矩偏心矩偏心矩23.61-92.1492.1426.48-9.489.48-26.48-92.1492.14-23.6140.5827.95-33.60-48.79-26.7626.7648.7933.60-27.95-40.5814.85-16.8013.97-20.4813.38-13.3820.48-13.9716.80-14.851.160.80-2.12-3.07-1.681.683.072.12-0.80-1.1656.58-80.1970.40-72.34-24.5424.5472.34-70.4080.19-56.580.3720.3720.2560.2130.3090.3090.1690.1690.3090.3090.2130.2560.3720.37227.31-107.14107.1433.04-7.587.58-33.04-107.14107.14-27.3129.6929.6920.45-28.21-40.96-40.96-22.4622.4640.9640.9628.21-20.45-29.69-29.6920.2914.85-14.1010.22-24.39-20.4811.23-11.2324.3920.48-10.2214.10-20.29-14.85-7.82-7.82-5.394.987.237.233.97-3.97-7.23-7.23-4.985.397.827.8242.1636.71-106.1894.13-58.12-54.21-14.8414.8458.1254.21-94.13106.18-42.16-36.710.3720.3720.2560.2130.3090.3090.1690.1690.3090.3090.2130.2560.3720.37227.31-107.14107.1433.04-7.587.58-33.04-107.14107.14-27.3129.6929.6920.45-28.21-40.96-40.96-22.4622.4640.9640.9628.21-20.45-29.69-29.6914.8516.01-14.1010.22-20.48-21.8011.23-11.2320.4821.80-10.2214.10-14.85-16.01-6.23-6.23-4.294.436.436.433.53-3.53-6.43-6.43-4.434.296.236.2338.3039.47-105.0893.58-55.01-56.33-15.2815.2855.0156.33-93.58105.08-38.30-39.470.4010.3230.2760.2260.3290.2640.1800.1800.3290.2640.2260.2760.4010.32327.31-107.14107.1433.04-7.587.58-33.04-107.14107.14-27.3132.0225.7522.05-30.03-43.60-35.06-23.9123.9143.6035.0630.03-22.05-32.02-25.7514.85-15.0111.03-20.480.0011.96-11.9620.48-11.0315.01-14.850.070.050.05-0.57-0.82-0.66-0.450.450.820.660.57-0.05-0.07-0.0546.9425.80-100.0587.57-64.90-35.72-19.9919.9964.9035.72-87.57100.05-46.94-25.8012.90A-17.86B17.86C-12.90D、根據內力平衡條件計算跨中彎矩，先計算出簡支狀態(tài)下的跨中彎矩，然后根據簡支狀態(tài)下的跨中彎矩和支座兩端彎矩求出跨中彎矩，計算公式：以1層AB跨梁為例，進行詳細的過程演算，其余如下表格形式列出。160.7-(87.57-(-100.05))/2=66.89kN.m表4-3跨中彎矩計算表（kN.m）層號梁跨4AB-80.1970.40138.2162.91BC-24.5424.5414.22-10.32CD-80.1970.40138.2162.913AB-106.1894.13160.7060.55BC-14.8414.8411.37-3.48CD-106.1894.13160.7060.552AB-105.0893.58160.7061.37BC-15.2815.2811.37-3.91CD-105.0893.58160.7061.371AB-100.0587.57160.7066.89BC-19.9919.9911.37-8.62CD-100.0587.57160.7066.89圖4-1恒載彎矩圖(kN.m)1.4恒荷載梁柱剪力計算梁左端剪力：梁右端剪力：柱剪力剪力：、為框架梁左端和右端在簡支狀態(tài)下的支座反力、為框架梁左和右端彎矩、為框架柱上和下端彎矩為框架梁柱構件計算長度頂層梁恒載支座反力計算：AB跨均布荷載：1/2×21.329×7.2=76.783kNBC跨均布荷載：1/2×12.637×3=18.955kN標準層梁恒載支座反力計算：AB跨均布荷載：1/2×24.8×7.2=89.280kNBC跨均布荷載：1/2×10.106×3=15.158kN以1層AB跨梁為例，進行詳細的過程演算，其余如下表格形式列出。89.28-(-100.05+87.57)/7.2=91.01kN-89.28-(-100.05+87.57)/7.2=-87.55kN表4-4框架梁剪力層號梁跨l(m)4AB7.276.783-76.783-80.1970.4078.14-75.42BC318.955-18.955-24.5424.5418.96-18.96CD7.276.783-76.783-80.1970.4078.14-75.423AB7.289.280-89.280-106.1894.1390.95-87.61BC315.158-15.158-14.8414.8415.16-15.16CD7.289.280-89.280-106.1894.1390.95-87.612AB7.289.280-89.280-105.0893.5890.88-87.68BC315.158-15.158-15.2815.2815.16-15.16CD7.289.280-89.280-105.0893.5890.88-87.681AB7.289.280-89.280-100.0587.5791.01-87.55BC315.158-15.158-19.9919.9915.16-15.16CD7.289.280-89.280-100.0587.5791.01-87.55以1層A柱為例，進行詳細的過程演算，其余如下表格形式列出。-(25.8+12.9)/4.85=-7.98kN表4-5框架柱剪力柱編號層號層高A43.956.5842.16-25.3233.936.7138.30-19.2423.939.4746.94-22.1614.8525.8012.90-7.98B43.9-72.34-58.1233.4533.9-54.21-55.0128.0023.9-56.33-64.9031.0814.85-35.72-17.8611.05C43.972.3458.12-33.4533.954.2155.01-28.0023.956.3364.90-31.0814.8535.7217.86-11.05D43.9-56.58-42.1625.3233.9-36.71-38.3019.2423.9-39.47-46.9422.1614.85-25.80-12.907.98圖4-2恒載剪力圖(kN)1.5恒荷載柱軸力計算柱頂軸力：柱底軸力：指每層縱向梁傳遞給框架柱恒載，、分別為框架柱左、右端梁剪力，框架柱容重25，不計算柱子抹灰。以A柱計算軸力為例，進行詳細的過程演算，其余如下表格形式列出。157.417-0+78.14=235.56235.56+0.6×0.6×3.9×25=270.66270.66+182.059-0+90.95=543.67543.67+0.6×0.6×3.9×25=578.77578.77+182.059-0+90.88=851.71851.71+0.6×0.6×3.9×25=886.81886.81+182.059-0+91.01=1159.881159.88+0.6×0.6×4.85×25=1203.53表4-6框架柱軸力柱編號層號(m)(m)l(m)柱重柱頂柱底A4157.4170.60.63.9078.1435.1235.56270.663182.0590.60.63.9090.9535.1543.67578.772182.0590.60.63.9090.8835.1851.71886.811182.0590.60.64.85091.0143.651159.8