这是2014年第5场雪.docx

7、竖向荷载作用下框剪内力计算7.1 计算单元及计算简图计算以F轴线纵向框架和E轴线横向剪力墙进行计算，由于材料均匀分布，故取轴线间的长度为计算宽度，计算简图如图所示。7.2 F轴框架线荷载标准值计算7.2.1板竖向荷载1) 板面荷载及隔墙线荷载详见重力荷载代表值计算部分。2) 当长跨l02与短跨l01之比值1l02l012时，按双向板考虑，双向板按45屈服传递荷载。实际荷载q等效均布荷载qe各层板荷载计算如下表所示表7-1 233445跨恒荷载导荷计算（线荷载）位置层号恒荷载KN/m2板尺寸（m）l02l011线荷载qe=1732q集中荷载P=（1-22+3）ql02/2l01l02块数23、34、45跨1-103.3636220.255.35526.933114.9236220.257.84139.437表7-3 233445跨活荷载导荷计算（线荷载）位置层号活荷载KN/m2板尺寸（m）l02l011线荷载qe=1732q集中荷载P=（1-22+3）ql02/2l01l02块数23、34、45跨1-10236220.253.18816.03111236220.253.18816.0317.2.2梁的恒载计算1）23跨（34跨、45跨）框架梁荷载标准值11层：线荷载梁自重（考虑抹灰）bh=300600gk1=0.30.6-0.125+0.260.6-0.12+0.3=4.088KN/m女儿墙 21.2=2.4KN /m屋面板给梁 7.841KN /m合计 14.329KN /m集中荷载次梁自重（考虑抹灰）bh=2505000.250.5-0.125+0.260.5-0.12+0.256/2=8.319KN屋面板给梁 39.437KN合计 47.756KN 110层：线荷载梁自重（考虑抹灰）bh=300600gk1=0.30.6-0.125+0.260.6-0.12+0.3=4.088KN/m190mm厚墙体自重 2(3.3-0.6)=5.4KN /m屋面板给梁 5.355KN /m合计 14.843KN /m集中荷载次梁自重（考虑抹灰）bh=2505000.250.5-0.125+0.260.5-0.12+0.256/2=8.319KN屋面板给梁 26.933KN 合计 35.252KN2）EF跨框架梁荷载标准值 (1)3轴（4轴）横梁线荷载标准值11层：线荷载梁自重（考虑抹灰）bh=300600gk1=0.30.6-0.125+0.260.6-0.12+0.3=4.088KN/m屋面板给梁 1-20.252+0.253124.9232=13.146KN/m合计 17.234KN /m110层：线荷载梁自重（考虑抹灰）bh=300600gk1=0.30.6-0.125+0.260.6-0.12+0.3=4.088KN/m190mm厚墙体自重 2(3.3-0.6)=5.4KN /m屋面板给梁 1-20.252+0.253123.3632=8.978KN/m 合计 18.466KN /m(2)柱的集中力计算2轴（5轴）柱集中荷载计算11层 P1=4.4163.3-0.12=14.043KN210层 P1=4.4163.3=14.573KN1层 P1=4.4165.7=25.171KN3轴（4轴）柱集中荷载计算11层 P1=17.2346/2=51.702KN110层 P1=18.4666/2=55.398KN7.2.3梁的活载计算1）23跨（34跨、45跨）框架梁荷载标准值11层：线荷载屋面板传递给梁 3.188KN /m合计 3.188KN /m集中荷载屋面板传递给次梁 16.031KN 合计 16.031KN110层：线荷载屋面板传递给梁 3.188KN /m合计 3.188KN /m集中荷载屋面板传递给梁 16.031KN 合计 16.031KN3）EF跨框架梁荷载标准值(1)3轴（4轴）横梁线荷载标准值11层：线荷载屋面板传递给梁 1-20.252+0.25312232=5.344KN/m合计 5.344KN /m110层：线荷载屋面板传递给梁 1-20.252+0.25312232=5.344KN/m合计 5.344KN /m (2)柱的集中力计算3轴（4轴）柱集中荷载计算11层 P1=5.3446/2=16.031KN110层 P1=5.3446/2=16.031KN7.3 竖向荷载作用下内力计算本内力计算采用分层法进行计算（梁刚度比较大、荷载比较均匀、结构对称）：分层时视除底层的下端固定端，其余各层的柱端均有转角产生，为弹性支撑。所以，为减少误差，把除底层柱以外的其他各层柱的线刚度均乘以修正系数0.9。向远端传递的弯矩底层柱和各层梁的传递系数按远端固定端取1/2，其他柱的传递系数考虑远端为弹性支撑取1/3。7.3.1框架梁柱线刚度、固端弯矩及内力计算1) 23(34、45)跨KL1梁固端弯矩的计算： 恒载作用11层（受力简图如下所示）：根据静力荷载计算手册进行查表及计算得：M23=-11214.32962+1847.756=-78.804KNmM32=11214.32962+1847.7566=78.804KNm110层（受力简图如下所示）： M23=-11214.84362+1835.2526=-70.968KNmM32=11214.84362+1835.2526=70.968KNm活载作用11层（受力简图如下所示）：M23=-1123.18862+1816.0316=-21.587KNmM32=1123.18862+1816.0316=21.587KNm110层（受力简图如下所示）：M23=-1123.18862+1816.0316=-21.587KNmM32=1123.18862+1816.0316=21.587KNm计算结果汇总见下表表7-5 F轴恒载/活载作用下框架梁固端弯矩计算表（单位：KNm）层号恒载活载23梁（45梁）34梁23梁（45梁）34梁M23M32M34M43M23M32M34M4311-78.80478.804-78.80478.804-21.58721.587-21.58721.5871-10-70.96870.968-70.96870.968-21.58721.587-21.58721.5877.3.2弯矩分配1）分配系数由固端弯矩表知34跨处固端弯矩差异很小，故取最大值考虑。框架对称性取半框架进行计算。半框架的梁、柱线刚度如图，切断横梁线刚度为原来的2 倍。表7-7 F轴框架柱和梁线刚度表（单位：KNm）层号中柱边柱梁号ic(104KN/m)0.9ic(104KN/m)KL1(边)KL2（中）7-112.03601.83244.054.054-65.12914.616194.054.052-37.51056.759454.054.0514.34823.913384.054.05分配系数按与节点连接的各杆的转动刚度比值计算，具体如下表。表7-8 分配系数表层号2轴3轴2上2下233上3下323411-0.3120.688-0.1440.2850.571100.2380.2380.5240.1260.1260.2500.49890.2380.2380.5240.1260.1260.2500.49880.2380.2380.5240.1260.1260.2500.49870.2380.2380.5240.1260.1260.2500.49860.1750.4400.3850.1050.2660.2100.41950.3480.3480.3040.2290.2290.1810.36140.3480.3480.3040.2290.2290.1810.36130.2990.4380.2630.2070.3030.1630.32720.3850.3850.2300.2760.2760.1490.29810.4590.2660.2750.3130.1810.1690.3372）弯矩分配弯矩分配法的基本思路，先用附加刚臂约束节点的角位移，可得到固端弯矩，此时不平衡弯矩由附加刚臂承受，然后依次释放刚臂约束使当前节点的杆端弯矩达到暂时的平衡，同时计算出各杆端弯矩的修正值。如此反复循环，使各节点上的不平衡力矩充分减小，则杆端弯矩也就趋近于精确值。梁远端为滑动铰支座，计算的结果见下四表。表7-9 恒载弯矩分配（左右梁）节点2311层下柱2332下柱34分配系数0.3120.6880.2850.1440.571固端弯矩-78.80478.804-78.804分配传递24.58754.21727.109-3.863-7.726-3.904-15.4791.2052.6581.329-0.189-0.379-0.191-0.7590.0590.1300.06525.851-25.85199.202-4.095-95.042节点23710层上柱下柱1221上柱下柱23分配系数0.1750.4400.3850.1050.2660.2100.419固端弯矩-70.96870.968-70.968分配传递16.89016.89037.25818.629-1.174-2.347-2.347-4.657-9.2770.2790.2790.6160.308-0.019-0.039-0.039-0.077-0.1530.0050.0050.01017.17417.174-34.27687.519-2.386-4.734-80.399节点236层上柱下柱1221上柱下柱23分配系数0.2510.4030.3460.2440.1960.3160.244固端弯矩-70.96870.968-70.968分配传递12.41931.22627.32313.661-0.717-1.434-3.634-2.869-5.7240.1260.3160.2760.138-0.007-0.014-0.037-0.029-0.0580.0010.0030.00312.54631.545-44.09183.318-3.671-2.898-76.750节点2345层上柱下柱1221上柱下柱23分配系数0.3480.3480.3040.2990.2990.1810.361固端弯矩-70.96870.968-70.968分配传递24.69724.69721.57410.787-1.613-3.225-3.225-1.952-3.8940.5610.5610.4900.245-0.037-0.073-0.073-0.044-0.0880.0130.0130.01125.27125.271-50.54278.702-3.299-1.997-74.951节点233层上柱下柱1221上柱下柱23分配系数0.2990.4380.2630.2070.3030.1630.327固端弯矩-70.96870.968-70.968分配传递21.21931.08418.6659.332-0.966-1.932-2.828-1.521-3.0520.2890.4230.2540.127-0.013-0.026-0.038-0.021-0.0420.0040.0060.00321.51231.513-53.02578.469-2.866-1.542-74.061节点232层上柱下柱1221上柱下柱23分配系数0.3850.3850.2300.2760.2760.1490.298固端弯矩-70.96870.968-70.968分配传递27.32327.32316.3238.161-1.126-2.253-2.253-1.216-2.4320.4340.4340.2590.130-0.018-0.036-0.036-0.019-0.0390.0070.0070.00427.76327.763-55.52676.971-2.288-1.235-73.439节点231层上柱下柱1221上柱下柱23分配系数0.4590.2230.2750.3130.1810.1690.337固端弯矩-70.96870.968-70.968分配传递32.57415.82619.5169.758-1.527-3.054-1.766-1.649-3.2880.7010.3410.4200.210-0.033-0.066-0.038-0.035-0.0710.0150.0070.00933.29016.174-52.58377.816-1.804-1.685-74.327表7-10 恒载弯矩分配（上下柱）节点2311层上柱下柱2332上柱下柱33分配系数0.3120.6880.2850.1440.571杆端弯矩25.851-25.85199.202-4.095-95.042不平衡弯矩5.725-1.578弯矩分配0.000-1.786-3.9390.4500.0000.2270.9010.00029.790-29.79099.6520.000-5.446-94.14110层上柱下柱2332上柱下柱33分配系数0.2380.2380.5250.1260.1260.2500.498杆端弯矩17.17417.174-34.27687.519-2.386-4.734-80.399不平衡弯矩5.72514.342-0.795-2.943弯矩分配4.776-4.776-10.5350.4710.4710.9351.86227.67526.740-44.81187.990-2.710-6.743-78.5379层上柱下柱1232上柱下柱33分配系数0.2380.2380.5250.1260.1260.2500.498杆端弯矩17.17417.174-34.27687.519-2.386-4.734-80.399不平衡弯矩11.45011.450-1.591-3.156弯矩分配5.450-5.450-12.0220.5980.5981.1872.36434.07423.174-46.29988.117-3.379-6.704-78.0358层上柱下柱1232上柱下柱33分配系数0.2380.2380.5250.1260.1260.2500.498杆端弯矩17.17417.174-34.27687.519-2.386-4.734-80.399不平衡弯矩11.45011.450-1.591-3.156弯矩分配5.450-5.450-12.0220.5980.5981.1872.36434.07423.174-46.29988.117-3.379-6.704-78.0357层上柱下柱1232上柱下柱33分配系数0.2380.2380.5250.1260.1260.2500.498杆端弯矩17.17417.174-34.27687.519-2.386-4.734-80.399不平衡弯矩9.90716.240-2.019-2.544弯矩分配6.223-6.223-13.7270.5750.5751.1412.27233.30427.191-48.00388.094-3.830-6.138-78.1266层上柱下柱1232上柱下柱33分配系数0.1750.4400.3850.1050.2660.2100.419杆端弯矩12.54631.545-44.09183.318-3.671-2.898-76.750不平衡弯矩14.14814.148-1.895-2.244弯矩分配4.952-12.451-10.8940.4351.1010.8691.73431.64733.242-54.98583.753-4.465-4.272-75.0165层上柱下柱1232上柱下柱33分配系数0.3480.3480.3040.2990.2990.1810.361杆端弯矩25.27125.271-50.54278.702-3.299-1.997-74.951不平衡弯矩12.60618.939-2.323-1.632弯矩分配10.977-10.977-9.5891.1821.1820.7161.42848.85433.232-60.13179.884-4.439-2.913-73.5234层上柱下柱1232上柱下柱33分配系数0.3480.3480.3040.2990.2990.1810.361杆端弯矩25.27125.271-50.54278.702-3.299-1.997-74.951不平衡弯矩15.59418.928-2.055-1.180弯矩分配12.014-12.014-10.4950.9670.9670.5851.16852.87932.185-61.03679.669-4.386-2.591-73.7833层上柱下柱1232上柱下柱33分配系数0.2990.4380.2630.2070.3030.1630.327杆端弯矩21.51231.513-53.02578.469-2.866-1.542-74.061不平衡弯矩17.67817.678-1.862-1.077弯矩分配10.571-15.486-9.2990.6090.8910.4790.96149.76233.705-62.32479.078-3.838-2.140-73.1002层上柱下柱1232上柱下柱33分配系数0.3850.3850.2300.2760.2760.1490.298杆端弯矩27.76327.763-55.52676.971-2.288-1.235-73.439不平衡弯矩18.26815.896-1.557-1.075弯矩分配13.153-13.153-7.8570.7270.7270.3920.78459.18330.506-63.38477.697-3.119-1.919-72.6541层上柱下柱1232上柱下柱33分配系数0.4590.2230.2750.3130.1810.1690.337杆端弯矩33.29016.174-52.58377.816-1.804-1.685-74.327不平衡弯矩9.2540.000-0.7630.000弯矩分配4.248-2.064-2.5450.2390.1380.1290.25746.79314.110-55.12878.055-2.429-1.556-74.070柱底弯矩8.087-0.842表7-11 活载弯矩分配（左右梁）节点2311层下柱2332下柱34分配系数0.3120.6880.2850.1440.571固端弯矩-21.58721.587-21.587分配传递6.73514.8527.426-1.058-2.116-1.069-4.2400.3300.7280.364-0.052-0.104-0.052-0.2080.0160.0360.0187.270-7.27027.900-1.152-26.730节点237-10层上柱下柱2332上柱下柱34分配系数0.2380.2380.5250.1260.1260.2500.498固端弯矩-21.58721.587-21.587分配传递5.1385.13811.3335.667-0.357-0.714-0.714-1.417-2.8220.0850.0850.1870.094-0.006-0.012-0.012-0.023-0.0470.0010.0010.0035.2245.224-10.42626.622-0.726-1.440-24.456节点236层上柱下柱2332上柱下柱34分配系数0.1750.4400.3850.1050.2660.2100.419固端弯矩-21.58721.587-21.587分配传递3.7789.4988.3114.155-0.218-0.436-1.105-0.873-1.7410.0380.0960.0840.042-0.002-0.004-0.011-0.009-0.0180.0000.0010.0013.8169.595-13.41225.344-1.117-0.881-23.346节点234-5层上柱下柱2332上柱下柱34分配系数0.3480.3480.3040.2990.2990.1810.361固端弯矩-21.58721.587-21.587分配传递7.5127.5126.5623.281-0.491-0.981-0.981-0.594-1.1850.1710.1710.1490.075-0.011-0.022-0.022-0.013-0.0270.0040.0040.0037.6877.687-15.37423.939-1.003-0.607-22.798节点233层上柱下柱2332上柱下柱34分配系数0.2990.4380.2630.2070.3030.1630.327固端弯矩-21.58721.587-21.587分配传递6.4559.4555.6772.839-0.294-0.588-0.860-0.463-0.9280.0880.1290.0770.039-0.004-0.008-0.012-0.006-0.0130.0010.0020.0016.5449.586-16.12923.869-0.872-0.469-22.528节点232层上柱下柱2332上柱下柱34分配系数0.3850.3850.2300.2760.2760.1490.298固端弯矩-21.58721.587-21.587分配传递8.3118.3114.9652.483-0.343-0.685-0.685-0.370-0.7400.1320.1320.0790.039-0.005-0.011-0.011-0.006-0.0120.0020.0020.0018.4458.445-16.89023.413-0.696-0.376-22.339节点231层上柱下柱2332上柱下柱34分配系数0.4590.2230.2750.3130.1810.1690.337固端弯矩-21.58721.587-21.587分配传递9.9084.8145.9362.968-0.465-0.929-0.537-0.502-1.0000.2130.1040.1280.064-0.010-0.020-0.012-0.011-0.0220.0050.0020.00310.1264.920-15.99523.670-0.549-0.512-22.609表7-12 活载弯矩分配（上下柱）节点2311层上柱下柱2332上柱下柱34分配系数0.3120.6880.2850.1440.571杆端弯矩7.081-7.08127.175-1.122-26.035不平衡弯矩1.741-0.480弯矩分配0.000-0.543-1.1980.1370.0000.0690.2740.0008.280-8.28027.3110.000-1.533-25.76110层上柱下柱2332.000上柱下柱34分配系数0.2380.2380.5250.1260.1260.2500.498杆端弯矩5.2245.224-10.42626.622-0.726-1.440-24.456不平衡弯矩1.7414.102-0.242-0.854弯矩分配1.391-1.391-3.0680.1380.1380.2740.5468.3567.935-13.49426.760-0.830-2.020-23.9109层上柱下柱2332上柱下柱34分配系数0.2380.2380.5250.1260.1260.2500.498杆端弯矩5.2245.224-10.42626.622-0.726-1.440-24.456不平衡弯矩3.4833.483-0.484-0.960弯矩分配1.658-1.658-3.6570.1820.1820.3610.71910.3657.049-14.08326.803-1.028-2.039-23.7378层上柱下柱2332上柱下柱34分配系数0.2380.2380.5250.1260.1260.2500.498杆端弯矩5.2245.224-10.42626.622-0.726-1.440-24.456不平衡弯矩3.4833.483-0.484-0.960弯矩分配1.658-1.658-3.6570.1820.1820.3610.71910.3657.049-14.08326.803-1.028-2.039-23.7377层上柱下柱2332上柱下柱34分配系数0.2380.2380.5250.1260.1260.2500.498杆端弯矩5.2245.224-10.42626.622-0.726-1.440-24.456不平衡弯矩3.0134.940-0.614-0.774弯矩分配1.893-1.893-4.1750.1750.1750.3470.69110.1308.271-14.60226.796-1.165-1.867-23.7646层上柱下柱2332上柱下柱34分配系数0.1750.4400.3850.1050.2660.2100.419杆端弯矩3.8169.595-13.41225.344-1.117-0.881-23.346不平衡弯矩4.3044.304-0.576-0.682弯矩分配1.506-3.787-3.3140.1320.3350.2640.5279.62610.112-16.72525.476-1.358-1.300-22.8185层上柱下柱2332上柱下柱34分配系数0.3480.3480.3040.2990.2990.1810.361杆端弯矩7.6877.687-15.37423.939-1.003-0.607-22.798不平衡弯矩3.8345.761-0.707-0.496弯矩分配3.339-3.339-2.9170.3600.3600.2180.43414.86010.108-18.29124.299-1.350-0.886-22.3644层上柱下柱2332上柱下柱34分配系数0.3480.3480.3040.2990.2990.1810.361杆端弯矩7.6877.687-15.37423.939-1.003-0.607-22.798不平衡弯矩4.7435.757-0.625-0.359弯矩分配3.654-3.654-3.1920.2940.2940.1780.35516.0859.790-18.56624.234-1.334-0.788-22.4433层上柱下柱2332上柱下柱34分配系数0.2990.4380.2630.2070.3030.1630.327杆端弯矩6.5449.586-16.12923.869-0.872-0.469-22.528不平衡弯矩5.3775.377-0.566-0.328弯矩分配3.216-4.710-2.8280.1850.2710.1460.29215.13610.252-18.95824.054-1.167-0.651-22.2352层上柱下柱2332上柱下柱34分配系数0.3850.3850.2300.2760.2760.1490.298杆端弯矩8.4458.445-16.89023.413-0.696-0.376-22.339不平衡弯矩5.5574.835-0.474-0.327弯矩分配4.001-4.001-2.3900.2210.2210.1190.23918.0029.279-19.28023.634-0.949-0.584-22.1001层上柱下柱2332上柱下柱33分配系数0.4590.2230.2750.3130.1810.1690.337杆端弯矩10.1264.920-15.99523.670-0.549-0.512-22.609不平衡弯矩2.8150.000-0.2320.000弯矩分配1.292-