分析结构力学——第七章习题
60kNm2m3 E为常数m66m4m4m6m60(c) 6012030 3023.76058.4215/3818/385/3882.182.158.4223.7-90-9097.997.9
Cm3DFmmm//N30kN30kNN3kk8811EI为常数m3AB2m2m2m2m(d) -20.25206.920.2518/23206.95/23-270814545-378441.1441.1
图8-28
六、应用对称性简化图8-29（a）～（d）所示结构后，用无剪力分配法计算，画M图。
46
46 分析结构力学——第七章习题
12kN12kN12kN12kN12kNm3EI为常数m66m4m4m6m36(a) 366/179/171812kN12kN12kN12kN12kN182/179-9052.9452.9478.361878.363636363636-9018101.64101.64
m2I2I3mIImm//NN3kk02I022m3IIP10mPPPP(c) -22.5EI为常数a22.5140.80.24470.7553-120140.8aaa265.4 -15022.55/2818/28129.1136.3(b) 136.3-2105/28129.1265.4 -240313.7313.747 47
a 分析结构力学——第七章习题
0.75P0.5P1/81/8-0.125Pa-0.125Pa6/71/7-0.375Pa-0.375Pa6/8PPPPP38.0742.265.465.4642.2638.07EI为常数35.9419.54a38.075.4635.9442.2619.5442.2635.9438.07aaaa(Pa=100)
图 8-29
七、应用力矩-剪力分配法计算图8-30（a）、（b）所示刚架，画M图。
20kN/m135.924391219/115//2437.870.865.38/131568/1961.6配系数m16062.5分53.759.58m5m(a)
48
48 8/13 分析结构力学——第七章习题
20kN/m12kN144.61732ii10kN10kN10kNim49048kN2i2i25.530.67.128.0769.756.11575.41520.95.7iiim628.527.210.32m4m2m3m3m(b) 图 8-30
八、用力矩-剪力分配法计算图8-31所示刚架（小圈内为各杆相对线刚度），画M图。
10kN20kN/m60kNm122100kN100kN11m160kN80kN1416kN/m50kN2231160kN124kN/m11m480kN80kN30kN2231.21.21.21.2m63m3m3m3m2m4m2m
49
49 分析结构力学——第七章习题
132.196.9481015.650.148.248.925.6108108165.733.1145.1147.5123.113.416.534.843.53246.593.925.391.12407229629674.784.3126.3117.280.282.638.97.916.635.834.167.124010820.316015.516022.11.410.95.2
图 8-31
第九章习题
一、应用静力法求图9-55所示外伸简支梁在移动单位弯矩作用下K截面的弯矩影响线MK和剪力影响线QK。
5/8AM=1BCK3/8MK(无量纲）ABC1/8QK(力量纲）
图 9-55
50
50