弯矩二次分配三跨五层框架结构[共6页]

1、1轴线框架在恒载作用下的弯矩2次分配法计算表 （表A）1轴线框架梁柱线刚度、固端弯矩总表 层号 节点号ABC 杆件号上柱下柱ABBA上柱下柱BCCB上柱下柱 5层 刚度系数ib,ic1.652.252.251.657.207.201.65 分配系数0.00000.42310.57690.20270.00000.14860.64860.64860.00000.1486 固端弯矩C7-143.21143.21-11.1811.18 层号 节点号ABC 杆件号上柱下柱ABBA上柱下柱BCCB上柱下柱 4层 刚度系数ib,ic1.651.652.252.251.651.657.207.201.651.

2、65 分配系数0.29730.29730.40540.17650.12940.12940.56470.56470.12940.1294 固端弯矩C7-118.79118.79-40.2640.26 层号 节点号ABC 杆件号上柱下柱ABBA上柱下柱BCCB上柱下柱 3层 刚度系数ib,ic1.651.652.252.251.651.657.207.201.651.65 分配系数0.2970.2970.4050.1760.1290.1290.5650.5650.1290.129 固端弯矩C29-118.79118.79-40.2640.26 层号 节点号ABC 杆件号上柱下柱ABBA上柱下柱BC

3、CB上柱下柱 2层 刚度系数ib,ic1.651.652.252.251.651.657.207.201.651.65 分配系数0.2970.2970.4050.1760.1290.1290.5650.5650.1290.129 固端弯矩C29-118.79118.79-40.2640.26 层号 节点号ABC 杆件号上柱下柱ABBA上柱下柱BCCB上柱下柱 1层 刚度系数ib,ic1.651.332.252.251.651.337.207.201.651.33 分配系数0.3150.2540.4300.1810.1330.1070.5790.5790.1330.107 固端弯矩C40-118

4、.79118.79-40.2640.26 使用方法：只需在该EXCEL A表格中输入相应的 梁柱线刚度系数和固端弯矩 即可计算结果EXCEL自动给出 尤其对高层演算效率突出！有计算过程和准确的结果对于更高的楼层只需在本电子表格基础上简单的复制粘贴 再将复 制的上下柱传递函数改一下即可！也可在此基础上再加几道函数程序对每个结点进行反复循环的分配和传递。 注：本表采用弯矩二次分配法计算，对框架弯矩进行整体分配和传递，底层与各层的柱的线刚度均不乘以0.9，传递系 数均取1/2。本表对力矩分配、传递的过程作了如下改进：（1）将由结点不平衡力矩较大的结点开始计算，改为按结点 顺序进行；（2）将由各结点逐

5、一分配、传递，改为所有结点同时放松，进行分配力矩（只与结点各杆近端有关），再 将所有结点同时固定，进行力矩传递（只与各杆远端有关），并计算各结点新的不平衡力矩。每个结点都进行2次分配 和1次传递。 （表B）弯矩2次分配与传递表 5层 D节点号AB CDDC上柱下柱杆件号上柱下柱ABBA上柱下柱BC 2.252.251.65 荷载类型 刚度系数ib,ic0.001.652.252.250.001.657.20 0.20270.57690.00000.4231分配系数0.00000.42310.57690.20270.00000.14860.6486 -143.21143.21 恒载 固端弯矩C7

6、0.00-143.21143.210.000.00-11.18 分配0.0060.5982.62-26.760.00-19.63-85.64 传递0.0017.66-13.3841.310.00-5.0842.82 分配0.00-1.81-2.47-16.020.00-11.75-51.28 0.0076.44-76.44141.730.00-36.46-105.28 4层 D节点号AB CDDC上柱下柱杆件号上柱下柱ABBA上柱下柱BC 2.252.251.651.65 荷载类型 刚度系数ib,ic1.651.652.252.251.651.657.20 0.17650.40540.2973

7、0.2973分配系数0.29730.29730.40540.17650.12940.12940.5647 -118.79118.79 恒载 固端弯矩C70.00-118.79118.790.000.00-40.26 分配35.3235.3248.16-13.86-10.16-10.16-44.35 传递30.2917.66-6.9324.08-9.81-5.0822.17 分配-12.20-12.20-16.63-5.53-4.06-4.06-17.71 53.4140.78-94.19123.48-24.03-19.30-80.14 3层 D节点号AB CDDC上柱下柱杆件号上柱下柱ABBA

8、上柱下柱BC 2.252.251.651.65 荷载类型 刚度系数ib,ic1.651.652.252.251.651.657.20 0.1760.4050.2970.297分配系数0.2970.2970.4050.1760.1290.1290.565 -118.79118.79 恒载 固端弯矩C290.00-118.79118.790.000.00-40.26 分配35.3235.3248.16-13.86-10.16-10.16-44.35 传递17.6617.66-6.9324.08-5.08-5.0822.17 分配-8.44-8.44-11.51-6.37-4.67-4.67-20.

9、38 44.5344.53-89.07122.64-19.91-19.91-82.81 2层 D节点号AB CDDC上柱下柱杆件号上柱下柱ABBA上柱下柱BC 2.252.251.651.65 荷载类型 刚度系数ib,ic1.651.652.252.251.651.657.20 0.1760.4050.2970.297分配系数0.2970.2970.4050.1760.1290.1290.565 -118.79118.79 恒载 固端弯矩C290.00-118.79118.790.000.00-40.26 分配35.3235.3248.16-13.86-10.16-10.16-44.35 传递

10、17.6618.74-6.9324.08-5.08-5.2122.17 分配-8.76-8.76-11.95-6.35-4.65-4.65-20.31 44.2145.29-89.51122.67-19.90-20.03-82.74 1层 D节点号AB CDDC上柱下柱杆件号上柱下柱ABBA上柱下柱BC 2.252.251.651.33 荷载类型 刚度系数ib,ic1.651.332.252.251.651.337.20 0.1810.4300.3150.254分配系数0.3150.2540.4300.1810.1330.1070.579 -118.79118.79 恒载 固端弯矩C400.0

11、0-118.79118.790.000.00-40.26 分配37.4830.2151.10-14.22-10.42-8.40-45.49 传递17.660.00-7.1125.55-5.080.0022.74 分配-3.33-2.68-4.54-7.82-5.74-4.62-25.03 51.8127.53-79.33122.30-21.24-13.03-88.04 C C C C C CD CB上柱下柱CDDC上柱下柱 7.200.001.652.252.250.001.65刚度系数ib,ic 0.64860.00000.14860.20270.57690.00000.4231分配系数 1

12、1.180.000.00-143.21143.210.000.00固端弯矩 85.640.0019.6326.76-82.620.00-60.59分配 -42.820.005.08-41.3113.380.00-17.66传递 51.280.0011.7516.022.470.001.81分配 105.280.0036.46-141.7376.440.00-76.44 CD CB上柱下柱CDDC上柱下柱 7.201.651.652.252.251.651.65刚度系数ib,ic 0.56470.12940.12940.17650.40540.29730.2973分配系数 40.260.000.

13、00-118.79118.790.000.00固端弯矩 44.3510.1610.1613.86-48.16-35.32-35.32分配 -22.179.815.08-24.086.93-30.29-17.66传递 17.714.064.065.5316.6312.2012.20分配 80.1424.0319.30-123.4894.19-53.41-40.78 CD CB上柱下柱CDDC上柱下柱 7.201.651.652.252.251.651.65刚度系数ib,ic 0.5650.1290.1290.1760.4050.2970.297分配系数 40.260.000.00-118.791

14、18.790.000.00固端弯矩 44.3510.1610.1613.86-48.16-35.32-35.32分配 -22.175.085.08-24.086.93-17.66-17.66传递 20.384.674.676.3711.518.448.44分配 82.8119.9119.91-122.6489.07-44.53-44.53 CD CB上柱下柱CDDC上柱下柱 7.201.651.652.252.251.651.65刚度系数ib,ic 0.5650.1290.1290.1760.4050.2970.297分配系数 40.260.000.00-118.79118.790.000.00固端弯矩 44.3510.1610.1613.86-48.16-35.32-35.32分配 -22.175.085.21-24.086.93-17.66-18.74传递 20.314.654.656.3511.958.768.76分配 82.7419.9020.03-122.6789.51-44.21-45.29 CD CB上柱下柱CDDC上柱下柱 7.201.651.332.252.251.651.33刚度系数ib,ic 0.5790.1330.1070.1810.43