彎矩二次分配三跨五層框架結(jié)構(gòu)[共6頁]

1、1軸線框架在恒載作用下的彎矩2次分配法計算表 （表A）1軸線框架梁柱線剛度、固端彎矩總表 層號 節(jié)點號ABC 桿件號上柱下柱ABBA上柱下柱BCCB上柱下柱 5層 剛度系數(shù)ib,ic1.652.252.251.657.207.201.65 分配系數(shù)0.00000.42310.57690.20270.00000.14860.64860.64860.00000.1486 固端彎矩C7-143.21143.21-11.1811.18 層號 節(jié)點號ABC 桿件號上柱下柱ABBA上柱下柱BCCB上柱下柱 4層 剛度系數(shù)ib,ic1.651.652.252.251.651.657.207.201.651.

2、65 分配系數(shù)0.29730.29730.40540.17650.12940.12940.56470.56470.12940.1294 固端彎矩C7-118.79118.79-40.2640.26 層號 節(jié)點號ABC 桿件號上柱下柱ABBA上柱下柱BCCB上柱下柱 3層 剛度系數(shù)ib,ic1.651.652.252.251.651.657.207.201.651.65 分配系數(shù)0.2970.2970.4050.1760.1290.1290.5650.5650.1290.129 固端彎矩C29-118.79118.79-40.2640.26 層號 節(jié)點號ABC 桿件號上柱下柱ABBA上柱下柱BC

3、CB上柱下柱 2層 剛度系數(shù)ib,ic1.651.652.252.251.651.657.207.201.651.65 分配系數(shù)0.2970.2970.4050.1760.1290.1290.5650.5650.1290.129 固端彎矩C29-118.79118.79-40.2640.26 層號 節(jié)點號ABC 桿件號上柱下柱ABBA上柱下柱BCCB上柱下柱 1層 剛度系數(shù)ib,ic1.651.332.252.251.651.337.207.201.651.33 分配系數(shù)0.3150.2540.4300.1810.1330.1070.5790.5790.1330.107 固端彎矩C40-118

4、.79118.79-40.2640.26 使用方法：只需在該EXCEL A表格中輸入相應的 梁柱線剛度系數(shù)和固端彎矩 即可計算結(jié)果EXCEL自動給出 尤其對高層演算效率突出！有計算過程和準確的結(jié)果對于更高的樓層只需在本電子表格基礎(chǔ)上簡單的復制粘貼 再將復 制的上下柱傳遞函數(shù)改一下即可！也可在此基礎(chǔ)上再加幾道函數(shù)程序?qū)γ總€結(jié)點進行反復循環(huán)的分配和傳遞。 注：本表采用彎矩二次分配法計算，對框架彎矩進行整體分配和傳遞，底層與各層的柱的線剛度均不乘以0.9，傳遞系 數(shù)均取1/2。本表對力矩分配、傳遞的過程作了如下改進：（1）將由結(jié)點不平衡力矩較大的結(jié)點開始計算，改為按結(jié)點 順序進行；（2）將由各結(jié)點逐

5、一分配、傳遞，改為所有結(jié)點同時放松，進行分配力矩（只與結(jié)點各桿近端有關(guān)），再 將所有結(jié)點同時固定，進行力矩傳遞（只與各桿遠端有關(guān)），并計算各結(jié)點新的不平衡力矩。每個結(jié)點都進行2次分配 和1次傳遞。 （表B）彎矩2次分配與傳遞表 5層 D節(jié)點號AB CDDC上柱下柱桿件號上柱下柱ABBA上柱下柱BC 2.252.251.65 荷載類型 剛度系數(shù)ib,ic0.001.652.252.250.001.657.20 0.20270.57690.00000.4231分配系數(shù)0.00000.42310.57690.20270.00000.14860.6486 -143.21143.21 恒載 固端彎矩C7

6、0.00-143.21143.210.000.00-11.18 分配0.0060.5982.62-26.760.00-19.63-85.64 傳遞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層 D節(jié)點號AB CDDC上柱下柱桿件號上柱下柱ABBA上柱下柱BC 2.252.251.651.65 荷載類型 剛度系數(shù)ib,ic1.651.652.252.251.651.657.20 0.17650.40540.2973

7、0.2973分配系數(shù)0.29730.29730.40540.17650.12940.12940.5647 -118.79118.79 恒載 固端彎矩C70.00-118.79118.790.000.00-40.26 分配35.3235.3248.16-13.86-10.16-10.16-44.35 傳遞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層 D節(jié)點號AB CDDC上柱下柱桿件號上柱下柱ABBA

8、上柱下柱BC 2.252.251.651.65 荷載類型 剛度系數(shù)ib,ic1.651.652.252.251.651.657.20 0.1760.4050.2970.297分配系數(shù)0.2970.2970.4050.1760.1290.1290.565 -118.79118.79 恒載 固端彎矩C290.00-118.79118.790.000.00-40.26 分配35.3235.3248.16-13.86-10.16-10.16-44.35 傳遞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層 D節(jié)點號AB CDDC上柱下柱桿件號上柱下柱ABBA上柱下柱BC 2.252.251.651.65 荷載類型 剛度系數(shù)ib,ic1.651.652.252.251.651.657.20 0.1760.4050.2970.297分配系數(shù)0.2970.2970.4050.1760.1290.1290.565 -118.79118.79 恒載 固端彎矩C290.00-118.79118.790.000.00-40.26 分配35.3235.3248.16-13.86-10.16-10.16-44.35 傳遞

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層 D節(jié)點號AB CDDC上柱下柱桿件號上柱下柱ABBA上柱下柱BC 2.252.251.651.33 荷載類型 剛度系數(shù)ib,ic1.651.332.252.251.651.337.20 0.1810.4300.3150.254分配系數(shù)0.3150.2540.4300.1810.1330.1070.579 -118.79118.79 恒載 固端彎矩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 傳遞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剛度系數(shù)ib,ic 0.64860.00000.14860.20270.57690.00000.4231分配系數(shù) 1

12、1.180.000.00-143.21143.210.000.00固端彎矩 85.640.0019.6326.76-82.620.00-60.59分配 -42.820.005.08-41.3113.380.00-17.66傳遞 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剛度系數(shù)ib,ic 0.56470.12940.12940.17650.40540.29730.2973分配系數(shù) 40.260.000.

13、00-118.79118.790.000.00固端彎矩 44.3510.1610.1613.86-48.16-35.32-35.32分配 -22.179.815.08-24.086.93-30.29-17.66傳遞 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剛度系數(shù)ib,ic 0.5650.1290.1290.1760.4050.2970.297分配系數(shù) 40.260.000.00-118.791

14、18.790.000.00固端彎矩 44.3510.1610.1613.86-48.16-35.32-35.32分配 -22.175.085.08-24.086.93-17.66-17.66傳遞 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剛度系數(shù)ib,ic 0.5650.1290.1290.1760.4050.2970.297分配系數(shù) 40.260.000.00-118.79118.790.000.00固端彎矩 44.3510.1610.1613.86-48.16-35.32-35.32分配 -22.175.085.21-24.086.93-17.66-18.74傳遞 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剛度系數(shù)ib,ic 0.5790.1330.1070.1810.43