弯矩分配法例题VIP免费

弯矩分配法计算：由对称性，该题计算模型可简化为一个全跨加一个半跨，半跨端部为滑动支座。一．顶层弯矩计算1：计算分配系数；远端固定S=4i；远端滑动S=i；远端固定非底层柱：远端固定全跨梁：远端滑动半跨梁：对顶部全跨的端点A：对节点B:2：各杆的固端弯矩为3：顶层弯矩分配法计算过程如下图所示0.5500.4500.3670.4490.184ADABBABEBCCFA-391.50391.50B-391.50-195.75C215.32176.181/288.09-16.171/2-32.33-39.55-16.21-116.218.897.281/23.64-0.671/2-1.34-1.63-0.67-10.670.370.301/20.15-0.05-0.07-0.03-10.03224.58-224.58449.66-41.25-408.41-178.84柱子传递系数取1/3：224.58×1/3=74.86-41.25×1/3=-13.75二．标准层弯矩计算1，计算弯矩分配系数对节点D对节点E2,各杆固端弯矩与顶层相同3，中间层弯矩分配计算过程如下图所示0.3550.3550.2900.2540.3100.3100.126DADGDEEDEBEHEFFED-391.50391.50E-391.50-195.75138.98138.94113.541/256.77-7.211/2-14.42-17.60-17.60-7.15-17.152.562.562.091/21.05-0.141/2-0.28-0.32-0.32-0.13-10.130.050.050.041/20.020-0.01-0.010-10141.59141.59-283.18434.64-17.93-17.93-398.78-188.47柱子传递系数取1/3:141.59×1/3=47.20-17.93×1/3=-5.98三，底层弯矩计算1.计算弯矩分配系数对节点G:对节点H:2.各杆固端弯矩与顶层相同底层弯矩分配计算过程如下0.4030.2670.3300.2830.3460.2300.141GDGJGHHGHEHKHIIHG-391.50391.50H-391.50-195.75157.77104.53129.201/264.60-9.141/2-18.28-22.35-14.86-9.11-19.113.682.443.021/21.51-0.221/2-0.43-0.52-0.35-0.21-10.210.090.060.071/20.04-0.01-0.01-0.01-0.01-10.01161.54107.03-268.57438.93-22.88-15.22-400.83-186.42