程 设 计
（结构力学）
班 级:
姓 名: 学 号: 指导教师:
课
实验目的（通过实验及数据分析熟练掌握结构力学求解器的使用方法，了解求解器的主要功能，了解数据输入和输出的基本操作过程，主要参数的意义和编辑方法。更主要的是通过实践进一步了解结构在广义荷载作用下内力和位移的分布状态和变化规律，从而指导我们探索和发现更合理的结构形式，为将来的学习和科研工作打下坚实的基础）
实验手段（利用结构力学求解器《学生版》的自动求解功能和计算机实验机房提供的实验环境完成实验分析工作）
实验数据（输入数据和部分用于说明问题的结果数据）
实验分析（内力和位移分布规律的发现和讨论）
第一题
第一种
结点,1,0,0 结点,7,6,0
结点填充,1,7,5,2,1 结点,8,0,1 结点,14,6,1
结点填充,8,14,5,9,1 单元,1,2,1,1,0,1,1,0 单元,2,3,1,1,0,1,1,0 单元,3,4,1,1,0,1,1,0 单元,4,5,1,1,0,1,1,0 单元,5,6,1,1,0,1,1,0 单元,6,7,1,1,0,1,1,0 单元,8,9,1,1,0,1,1,0 单元,9,10,1,1,0,1,1,0 单元,10,11,1,1,0,1,1,0 单元,11,12,1,1,0,1,1,0 单元,12,13,1,1,0,1,1,0 单元,13,14,1,1,0,1,1,0 单元,1,8,1,1,0,1,1,0 单元,8,2,1,1,0,1,1,0 单元,2,9,1,1,0,1,1,0 单元,9,3,1,1,0,1,1,0
单元,3,10,1,1,0,1,1,0 单元,10,4,1,1,0,1,1,0 单元,4,11,1,1,0,1,1,0 单元,11,5,1,1,0,1,1,0 单元,5,12,1,1,0,1,1,0 单元,12,6,1,1,0,1,1,0 单元,6,13,1,1,0,1,1,0 单元,13,7,1,1,0,1,1,0 单元,7,14,1,1,0,1,1,0 结点支承,1,3,0,0,0 结点支承,7,1,0,0 结点荷载,8,1,1/2,-90 结点荷载,9,1,1,-90 结点荷载,10,1,1,-90 结点荷载,11,1,1,-90 结点荷载,12,1,1,-90 结点荷载,13,1,1,-90 结点荷载,14,1,1/2,-90
单元材料性质
,1,25,1,1,1,1,1
杆端 1 杆端 2
---------------------------------------- ------------------------------------------ 单元码 轴力 剪力 弯矩 轴力 剪力 弯矩 -------------------------------------------------------------------------------------------- 1 -0.00000000 0.00000000 0.00000000 -0.00000000 0.00000000 0.00000000 2 2.50000000 0.00000000 -0.00000000 2.50000000 0.00000000 0.00000000 3 4.00000000 0.00000000 0.00000000 4.00000000 0.00000000 0.00000000
4 4.00000000 -0.00000000 0.00000000 4.00000000 -0.00000000 -0.00000000 5 2.50000000 -0.00000000 -0.00000000 2.50000000 -0.00000000 -0.00000000 6 0.00000000 0.00000000 -0.00000000 0.00000000 0.00000000 0.00000000 7 -3.00000000 0.00000000 -0.00000000 -3.00000000 0.00000000 -0.00000000 8 -2.50000000 0.00000000 -0.00000000 -2.50000000 0.00000000 0.00000000 9 -4.00000000 0.00000000 0.00000000 -4.00000000 0.00000000 0.00000000 10 -4.50000000 0.00000000 -0.00000000 -4.50000000 0.00000000 0.00000000 11 -4.50000000 -0.00000000 0.00000000 -4.50000000 -0.00000000 0.00000000 12 -4.00000000 0.00000000 0.00000000 -4.00000000 0.00000000 0.00000000 13 -2.50000000 0.00000000 0.00000000 -2.50000000 0.00000000 0.00000000 14 -3.00000000 -0.00000000 0.00000000 -3.00000000 -0.00000000 -0.00000000 15 3.53553391 0.00000000 -0.00000000 3.53553391 0.00000000 0.00000000 16 -2.50000000 -0.00000000 0.00000000 -2.50000000 -0.00000000 0.00000000 17 2.12132034 0.00000000 -0.00000000 2.12132034 0.00000000 0.00000000 18 -1.50000000 -0.00000000 0.00000000 -1.50000000 -0.00000000 0.00000000 19 0.70710678 0.00000000 -0.00000000 0.70710678 0.00000000 0.00000000 20 -1.00000000 0.00000000 0.00000000 -1.00000000 0.00000000 0.00000000 21 0.70710678 -0.00000000 -0.00000000 0.70710678 -0.00000000 0.00000000 22 -1.50000000 0.00000000 -0.00000000 -1.50000000 0.00000000 0.00000000 23 2.12132034 0.00000000 -0.00000000 2.12132034 0.00000000 0.00000000 24 -2.50000000 0.00000000 -0.00000000 -2.50000000 0.00000000 0.00000000 25 3.53553391 -0.00000000 0.00000000 3.53553391 -0.00000000 0.00000000
第二种
结点,1,0,0 结点,7,6,0
结点填充,1,7,5,2,1 结点,8,0.5,0.5 结点,13,5.5,0.5 结点填充,8,13,4,9,1 结点,14,0,1 结点,26,6,1
结点填充,14,26,11,15,1 单元,1,2,1,1,0,1,1,0 单元,2,3,1,1,0,1,1,0 单元,3,4,1,1,0,1,1,0 单元,4,5,1,1,0,1,1,0 单元,5,6,1,1,0,1,1,0 单元,6,7,1,1,0,1,1,0 单元,14,15,1,1,0,1,1,0 单元,15,16,1,1,0,1,1,0 单元,16,17,1,1,0,1,1,0 单元,17,18,1,1,0,1,1,0
单元,18,19,1,1,0,1,1,0 单元,19,20,1,1,0,1,1,0 单元,20,21,1,1,0,1,1,0 单元,21,22,1,1,0,1,1,0 单元,22,23,1,1,0,1,1,0 单元,23,24,1,1,0,1,1,0 单元,24,25,1,1,0,1,1,0 单元,25,26,1,1,0,1,1,0 单元,14,1,1,1,0,1,1,0 单元,14,8,1,1,0,1,1,0 单元,8,2,1,1,0,1,1,0 单元,2,16,1,1,0,1,1,0 单元,16,9,1,1,0,1,1,0 单元,9,3,1,1,0,1,1,0 单元,3,18,1,1,0,1,1,0 单元,18,10,1,1,0,1,1,0 单元,10,4,1,1,0,1,1,0 单元,4,20,1,1,0,1,1,0 单元,4,11,1,1,0,1,1,0 单元,11,22,1,1,0,1,1,0 单元,22,5,1,1,0,1,1,0 单元,5,12,1,1,0,1,1,0 单元,12,24,1,1,0,1,1,0 单元,24,6,1,1,0,1,1,0 单元,6,13,1,1,0,1,1,0 单元,13,26,1,1,0,1,1,0 单元,26,7,1,1,0,1,1,0 单元,8,15,1,1,0,1,1,0 单元,8,16,1,1,0,1,1,0 单元,9,17,1,1,0,1,1,0 单元,9,18,1,1,0,1,1,0 单元,10,19,1,1,0,1,1,0 单元,10,20,1,1,0,1,1,0 单元,20,11,1,1,0,1,1,0 单元,11,21,1,1,0,1,1,0 单元,12,22,1,1,0,1,1,0 单元,12,23,1,1,0,1,1,0 单元,13,24,1,1,0,1,1,0 单元,13,25,1,1,0,1,1,0 结点支承,1,3,0,0,0 结点支承,7,1,0,0
结点荷载,14,1,1/4,-90 结点荷载,15,1,1/2,-90 结点荷载,16,1,1/2,-90
结点荷载,17,1,1/2,-90 结点荷载,18,1,1/2,-90 结点荷载,19,1,1/2,-90 结点荷载,20,1,1/2,-90 结点荷载,21,1,1/2,-90 结点荷载,22,1,1/2,-90 结点荷载,23,1,1/2,-90 结点荷载,24,1,1/2,-90 结点荷载,25,1,1/2,-90 结点荷载,26,1,1/4,-90
尺寸线,1,0.001,0.001,12,0.001,0.5,0.5,1,1/2,0.5,1.45 尺寸线,1,0.001,0.001,12,0.001,0.5,0,1,1/4,0,1.45 尺寸线,1,0.001,0.001,12,0.001,0.5,1,1,1/2,1,1.45 尺寸线,1,0.001,0.001,12,0.001,0.5,1.5,1,1/2,1.5,1.45 尺寸线,1,0.001,0.001,12,0.001,0.5,2,1,1/2,2,1.45 尺寸线,1,0.001,0.001,12,0.001,0.5,2.5,1,1/2,2.5,1.45 尺寸线,1,0.001,0.001,12,0.001,0.5,3,1,1/2,3,1.45 尺寸线,1,0.001,0.001,12,0.001,0.5,3.5,1,1/2,3.5,1.45 尺寸线,1,0.001,0.001,12,0.001,0.5,4,1,1/2,4,1.45 尺寸线,1,0.001,0.001,12,0.001,0.5,4.5,1,1/2,4.5,1.45 尺寸线,1,0.001,0.001,12,0.001,0.5,5,1,1/2,5,1.45 尺寸线,1,0.001,0.001,12,0.001,0.5,5.5,1,1/2,5.5,1.45 尺寸线
,1,0.001,0.001,12,0.001,0.5,6,1,1/4,6,1.45
杆端 1 杆端 2
---------------------------------------- ------------------------------------------ 单元码 轴力 剪力 弯矩 轴力 剪力 弯矩
-------------------------------------------------------------------------------------------- 1 -0.00000000 0.00000000 0.00000000 -0.00000000 0.00000000 0.00000000 2 2.50000000 0.00000000 0.00000000 2.50000000 0.00000000 0.00000000 3 4.00000000 -0.00000000 -0.00000000 4.00000000 -0.00000000 -0.00000000 4 4.00000000 0.00000000 -0.00000000 4.00000000 0.00000000 -0.00000000 5 2.50000000 0.00000000 0.00000000 2.50000000 0.00000000 0.00000000 6 0.00000000 -0.00000000 0.00000000 0.00000000 -0.00000000 0.00000000 7 -2.75000000 0.00000000 -0.00000000 -2.75000000 0.00000000 0.00000000 8 -2.75000000 -0.00000000 0.00000000 -2.75000000 -0.00000000 0.00000000 9 -4.25000000 0.00000000 -0.00000000 -4.25000000 0.00000000 0.00000000 10 -4.25000000 0.00000000 0.00000000 -4.25000000 0.00000000 0.00000000 11 -4.75000000 0.00000000 0.00000000 -4.75000000 0.00000000 0.00000000 12 -4.75000000 -0.00000000 0.00000000 -4.75000000 -0.00000000 -0.00000000 13 -4.75000000 -0.00000000 0.00000000 -4.75000000 -0.00000000 -0.00000000 14 -4.75000000 0.00000000 0.00000000 -4.75000000 0.00000000 0.00000000 15 -4.25000000 -0.00000000 0.00000000 -4.25000000 -0.00000000 -0.00000000 16 -4.25000000 -0.00000000 0.00000000 -4.25000000 -0.00000000 -0.00000000 17 -2.75000000 -0.00000000 0.00000000 -2.75000000 -0.00000000 0.00000000 18 -2.75000000 0.00000000 0.00000000 -2.75000000 0.00000000 0.00000000 19 -3.00000000 0.00000000 -0.00000000 -3.00000000 0.00000000 0.00000000 20 -3.00000000 -0.00000000 0.00000000 -3.00000000 -0.00000000 -0.00000000 21 3.88908730 -0.00000000 0.00000000 3.88908730 -0.00000000 -0.00000000 22 3.53553391 0.00000000 -0.00000000 3.53553391 0.00000000 0.00000000 23 -2.50000000 -0.00000000 0.00000000 -2.50000000 -0.00000000 -0.00000000 24 2.47487373 -0.00000000 0.00000000 2.47487373 -0.00000000 0.00000000 25 2.12132034 0.00000000 -0.00000000 2.12132034 0.00000000 0.00000000 26 -1.50000000 0.00000000 0.00000000 -1.50000000 0.00000000 -0.00000000 27 1.06066017 -0.00000000 0.00000000 1.06066017 -0.00000000 -0.00000000 28 0.70710678 0.00000000 -0.00000000 0.70710678 0.00000000 0.00000000 29 -1.00000000 0.00000000 -0.00000000 -1.00000000 0.00000000 0.00000000 30 0.70710678 -0.00000000 0.00000000 0.70710678 -0.00000000 -0.00000000 31 1.06066017 0.00000000 -0.00000000 1.06066017 0.00000000 0.00000000 32 -1.50000000 0.00000000 -0.00000000 -1.50000000 0.00000000 0.00000000 33 2.12132034 0.00000000 -0.00000000 2.12132034 0.00000000 0.00000000 34 2.47487373 0.00000000 -0.00000000 2.47487373 0.00000000 0.00000000 35 -2.50000000 0.00000000 0.00000000 -2.50000000 0.00000000 0.00000000 36 3.53553391 0.00000000 -0.00000000 3.53553391 0.00000000 0.00000000 37 3.88908730 -0.00000000 0.00000000 3.88908730 -0.00000000 -0.00000000 38 -0.50000000 -0.00000000 0.00000000 -0.50000000 -0.00000000 -0.00000000 39 -0.50000000 -0.00000000 0.00000000 -0.50000000 -0.00000000 0.00000000 40 -0.50000000 -0.00000000 0.00000000 -0.50000000 -0.00000000 0.00000000 41 -0.50000000 0.00000000 -0.00000000 -0.50000000 0.00000000 0.00000000 42 -0.50000000 0.00000000 0.00000000 -0.50000000 0.00000000 0.00000000 43 -0.50000000 0.00000000 -0.00000000 -0.50000000 0.00000000 0.00000000
44 0.35355339 0.00000000 -0.00000000 0.35355339 0.00000000 -0.00000000 45 0.35355339 0.00000000 -0.00000000 0.35355339 0.00000000 0.00000000 46 0.35355339 0.00000000 0.00000000 0.35355339 0.00000000 0.00000000 47 0.35355339 -0.00000000 0.00000000 0.35355339 -0.00000000 -0.00000000 48 0.35355339 -0.00000000 0.00000000 0.35355339 -0.00000000 -0.00000000 49 0.35355339 -0.00000000 0.00000000 0.35355339 -0.00000000 0.00000000
结论：
1、上弦杆内力不同； 2、下弦杆内力不变
第二题
当集中力为1
结点,1,0,0 结点,2,1,0 结点,3,2,0 结点,4,4,0 结点,5,6,0 结点,6,7,0 结点,7,8,0 结点,8,2,-1 结点,9,4,-1 结点,10,6,-1
单元,1,2,1,1,0,1,1,1 单元,2,3,1,1,1,1,1,1 单元,3,4,1,1,1,1,1,0 单元,4,5,1,1,0,1,1,1 单元,5,6,1,1,1,1,1,1 单元,6,7,1,1,1,1,1,0 单元,3,8,1,1,0,1,1,1 单元,8,9,1,1,1,1,1,0 单元,9,10,1,1,0,1,1,1
单元,10,5,1,1,1,1,1,0 结点支承,1,3,0,0,0 结点支承,7,1,0,0 结点荷载,2,1,1,-90 结点荷载,6,1,1,-90
尺寸线,1,0.1,0.1,12,1.0,0.5,-1,0,1m,-1,-1 尺寸线,1,0.1,0.1,12,1.0,0.5,4,-2,2m,2,-2 尺寸线,1,0.1,0.1,12,1.0,0.5,0,-2,2m,2,-2
尺寸线,1,0.1,0.1,12,1.0,0.5,4,-2,2m,6,-2,2m,8,-2 尺寸线,1,0.001,0.001,12,0.001,0.5,7,0.3,1KN,7,0.4 尺寸线
,1,0.001,0.001,12,0.001,0.5,1,0.3,1KN,1,0.4
轴力图
剪力图
弯矩图
杆端 1 杆端 2
---------------------------------------- ------------------------------------------ 单元码 轴力 剪力 弯矩 轴力 剪力 弯矩
-------------------------------------------------------------------------------------------- 1 -0.35294118 0.45588235 -0.00000000 -0.35294118 0.45588235 0.45588235 2 -0.35294118 -0.54411765 0.45588235 -0.35294118 -0.54411765 -0.08823529 3 0.82352941 0.04411765 -0.08823529 0.82352941 0.04411765 0.00000000 4 0.82352941 0.04411765 -0.00000000 0.82352941 0.04411765 0.08823529 5 0.00000000 0.45588235 0.08823529 0.00000000 0.45588235 0.54411765 6 0.00000000 -0.54411765 0.54411765 0.00000000 -0.54411765 0.00000000 7 -0.58823529 1.17647059 -0.00000000 -0.58823529 1.17647059 1.17647059 8 -1.17647059 -0.58823529 1.17647059 -1.17647059 -0.58823529 0.00000000 9 -0.82352941 0.41176471 -0.00000000 -0.82352941 0.41176471 0.82352941 10 -0.41176471 -0.82352941 0.82352941 -0.41176471 -0.82352941 0.00000000 -------------------------------------------------------------------------------------------- 集中力为2时
结点,1,0,0
结点,2,1,0
结点,3,2,0
结点,4,4,0
结点,5,6,0
结点,6,7,0
结点,7,8,0
结点,8,2,-1
结点,9,4,-1
结点,10,6,-1
单元,1,2,1,1,0,1,1,1
单元,2,3,1,1,1,1,1,1
单元,3,4,1,1,1,1,1,0
单元,4,5,1,1,0,1,1,1
单元,5,6,1,1,1,1,1,1
单元,6,7,1,1,1,1,1,0
单元,3,8,1,1,0,1,1,1
单元,8,9,1,1,1,1,1,0
单元,9,10,1,1,0,1,1,1
单元,10,5,1,1,1,1,1,0
结点支承,1,3,0,0,0
结点支承,7,1,0,0
结点荷载,2,1,1,-90
结点荷载,6,1,1,-90
尺寸线,1,0.1,0.1,12,1.0,0.5,-1,0,1m,-1,-1
尺寸线,1,0.1,0.1,12,1.0,0.5,4,-2,2m,2,-2
尺寸线,1,0.1,0.1,12,1.0,0.5,0,-2,2m,2,-2
尺寸线,1,0.1,0.1,12,1.0,0.5,4,-2,2m,6,-2,2m,8,-2
尺寸线,1,0.001,0.001,12,0.001,0.5,7,0.3,2KN,7,0.4
尺寸线
,1,0.001,0.001,12,0.001,0.5,1,0.3,2KN,1,0.4
轴力图
剪力图
弯矩图
杆端 1 杆端 2
---------------------------------------- ------------------------------------------ 单元码 轴力 剪力 弯矩 轴力 剪力 弯矩 -------------------------------------------------------------------------------------------- 1 -0.35294118 0.45588235 -0.00000000 -0.35294118 0.45588235 0.45588235 2 -0.35294118 -0.54411765 0.45588235 -0.35294118 -0.54411765 -0.08823529 3 0.82352941 0.04411765 -0.08823529 0.82352941 0.04411765 0.00000000 4 0.82352941 0.04411765 -0.00000000 0.82352941 0.04411765 0.08823529 5 0.00000000 0.45588235 0.08823529 0.00000000 0.45588235 0.54411765 6 0.00000000 -0.54411765 0.54411765 0.00000000 -0.54411765 0.00000000 7 -0.58823529 1.17647059 -0.00000000 -0.58823529 1.17647059 1.17647059 8 -1.17647059 -0.58823529 1.17647059 -1.17647059 -0.58823529 0.00000000 9 -0.82352941 0.41176471 -0.00000000 -0.82352941 0.41176471 0.82352941 10 -0.41176471 -0.82352941 0.82352941 -0.41176471 -0.82352941 0.00000000 当第一跨变长为
4
轴力图
剪力图
弯矩图
分析与结论：根据内力图的特点无论力移动到第一跨的那个位置，其余内力不发生变化.由于右边的荷载不变所以右面的内力图是不发生变化的.
第三题
当f1/f2=0时
轴力图
剪力图
弯矩图
杆端 1 杆端 2
---------------------------------------- ------------------------------------------ 单元码 轴力 剪力 弯矩 轴力 剪力 弯矩
-------------------------------------------------------------------------------------------- 1 -15.0000000 -0.00000000 -0.00000000 -15.0000000 -3.00000000 -4.50000000 2 -15.0000000 3.00000000 -4.50000000 -15.0000000 0.00000000 0.00000000 3 -15.0000000 0.00000000 0.00000000 -15.0000000 -3.00000000 -4.50000000 4 -15.0000000 3.00000000 -4.50000000 -15.0000000 -0.00000000 -0.00000000 5 16.1554944 0.00000000 -0.00000000 16.1554944 0.00000000 0.00000000 6 15.0000000 -0.00000000 0.00000000 15.0000000 -0.00000000 -0.00000000 7 16.1554944 -0.00000000 0.00000000 16.1554944 -0.00000000 -0.00000000 8 -6.00000000 0.00000000 0.00000000 -6.00000000 0.00000000 0.00000000 9 -6.00000000 0.00000000 -0.00000000 -6.00000000 0.00000000 0.00000000 当f1/f2=1
轴力图
剪力图
弯矩图
杆端 1 杆端 2
---------------------------------------- ------------------------------------------ 单元码 轴力 剪力 弯矩 轴力 剪力 弯矩
--------------------------------------------------------------------------------------------
1 -15.0777985 1.53733246 0.00000000 -15.0777985 -1.47763023 0.09000000 2 -15.3733245 1.47763023 0.09000000 -15.3733245 -1.53733246 0.00000000 3 -15.3733245 1.53733246 -0.00000000 -15.3733245 -1.47763023 0.09000000 4 -15.0777985 1.47763023 0.09000000 -15.0777985 -1.53733246 -0.00000000 5 15.1440879 0.00000000 -0.00000000 15.1440879 0.00000000 -0.00000000
6 14.8500000 0.00000000 -0.00000000 14.8500000 0.00000000 0.00000000 7 15.1440879 0.00000000 -0.00000000 15.1440879 0.00000000 0.00000000 8 -2.97000000 -0.00000000 0.00000000 -2.97000000 -0.00000000 -0.00000000 9 -2.97000000 -0.00000000 0.00000000 -2.97000000 -0.00000000 -0.00000000 -------------------------------------------------------------------------------------------- 当f1/f2=2
轴力图
剪力图
弯矩图
杆端 1 杆端 2
---------------------------------------- ------------------------------------------ 单元码 轴力 剪力 弯矩 轴力 剪力 弯矩
-------------------------------------------------------------------------------------------- 1 -15.1374451 2.05294312 0.00000000 -15.1374451 -0.97360607 1.63333333 2 -15.3970733 0.97360607 1.63333333 -15.3970733 -2.05294312 -0.00000000 3 -15.3970733 2.05294312 0.00000000 -15.3970733 -0.97360607 1.63333333 4 -15.1374451 0.97360607 1.63333333 -15.1374451 -2.05294312 0.00000000 5 14.8637193 0.00000000 -0.00000000 14.8637193 0.00000000 0.00000000 6 14.7333333 -0.00000000 0.00000000 14.7333333 -0.00000000 -0.00000000 7 14.8637193 0.00000000 0.00000000 14.8637193 0.00000000 -0.00000000 8 -1.96444444 -0.00000000 0.00000000 -1.96444444 -0.00000000 -0.00000000 9 -1.96444444 0.00000000 0.00000000 -1.96444444 0.00000000 0.00000000
当
f1/f2=3
轴力图
剪力图
弯矩图
杆端 1 杆端 2
---------------------------------------- ------------------------------------------ 单元码 轴力 剪力 弯矩 轴力 剪力 弯矩
-------------------------------------------------------------------------------------------- 1 -15.1728178 2.30854830 0.00000000 -15.1728178 -0.72501396 2.40187500 2 -15.3903219 0.72501396 2.40187500 -15.3903219 -2.30854830 0.00000000 3 -15.3903219 2.30854830 -0.00000000 -15.3903219 -0.72501396 2.40187500 4 -15.1728178 0.72501396 2.40187500 -15.1728178 -2.30854830 0.00000000 5 14.7356301 0.00000000 0.00000000 14.7356301 0.00000000 -0.00000000 6 14.6625000 0.00000000 -0.00000000 14.6625000 0.00000000 -0.00000000 7 14.7356301 -0.00000000 0.00000000 14.7356301 -0.00000000 -0.00000000 8 -1.46625000 0.00000000 0.00000000 -1.46625000 0.00000000 -0.00000000 9 -1.46625000 -0.00000000 -0.00000000 -1.46625000 -0.00000000 -0.00000000 -------------------------------------------------------------------------------------------- 结论：随着比值的增大轴力变大，剪力和弯矩变小
第四题
轴力图
剪力图
弯矩图
杆端 1 杆端 2
---------------------------------------- ------------------------------------------ 单元码 轴力 剪力 弯矩 轴力 剪力 弯矩 -------------------------------------------------------------------------------------------- 1 ********** -14986678.5 6758992007 ********** -14986678.5 6750000000 2 0.00000000 -14986678.5 6750000000 0.00000000 -14986678.5 6741007992 分析与结论：轴力只有左面有，剪力整个杆不变，变形是一个波浪形的特点 第五题
EI=1.40*104kN.m2，EA=1.90*106kN；链杆：EA=2.56*105kN
结点,1,0,0
结点,2,3,0
结点,3,6,0
结点,4,9,0
结点,5,3,-2
结点,6,9,-2
结点,7,12,0
单元,1,2,1,1,0,1,1,1
单元,2,3,1,1,1,1,1,1
单元,3,4,1,1,1,1,1,1
单元,4,7,1,1,1,1,1,0
单元,7,6,1,1,1,1,1,0
单元,6,5,1,1,0,1,1,0
单元,5,1,1,1,0,1,1,0
单元,5,2,1,1,0,1,1,0
单元,6,4,1,1,0,1,1,0
单元,3,5,1,1,0,1,1,0
单元,3,6,1,1,0,1,1,0
结点支承,1,3,0,0,0
结点支承,7,1,0,0
单元荷载,1,3,1,0,1,90
单元荷载,2,3,1,0,1,90
单元荷载,3,3,1,0,1,90
单元荷载,4,3,1,0,1,90
尺寸线,2,0.1,0.1,12,0.5,0.5,-1,0,2m,-1,-2
尺寸线,1,0.0001,0.0001,12,0.0001,0.5,0,0.65,q=1kN/m,12,0.65
尺寸线,1,0.1,0.1,12,1,0.5,0,-3,3m,3,-3
尺寸线,2,0.1,0.1,12,1,0.5,6,-3,3m,3,-3
尺寸线,2,0.1,0.1,12,1,0.5,9,-3,3m,6,-3
尺寸线
,1,0.1,0.1,12,1,0.5,9,-3,3m,12,-3
轴力图
剪力图
弯矩图
杆端 1 杆端 2
---------------------------------------- ------------------------------------------ 单元码 轴力 剪力 弯矩 轴力 剪力 弯矩
-------------------------------------------------------------------------------------------- 1 -6.74840965 1.50106024 -0.00000000 -6.74840965 -1.49893976 0.00318071 2 -6.74840965 1.50059704 0.00318071 -6.74840965 -1.49940296 0.00497182 3 -6.74840965 1.49940296 0.00497182 -6.74840965 -1.50059704 0.00318071 4 -6.74840965 1.49893976 0.00318071 -6.74840965 -1.50106024 -0.00000000 5 8.11057900 -0.00000000 0.00000000 8.11057900 -0.00000000 -0.00000000 6 8.99751409 0.00000000 -0.00000000 8.99751409 0.00000000 0.00000000 7 8.11057900 0.00000000 -0.00000000 8.11057900 0.00000000 0.00000000 8 -2.99953680 0.00000000 -0.00000000 -2.99953680 0.00000000 0.00000000 9 -2.70308713 -0.00000000 0.00000000 -2.70308713 -0.00000000 0.00000000 10 -2.70308713 0.00000000 0.00000000 -2.70308713 0.00000000 0.00000000 11 -2.99953680 -0.00000000 0.00000000 -2.99953680 -0.00000000 -0.00000000
横梁与桁架相对刚度比
=1/2
轴力图
剪力图
弯矩图
杆端 1 杆端 2
---------------------------------------- ------------------------------------------ 单元码 轴力 剪力 弯矩 轴力 剪力 弯矩 -------------------------------------------------------------------------------------------- 1 -4.29688683 3.13540878 -0.00000000 -4.29688683 0.13540878 4.90622635 2 -4.29688683 1.35164252 4.90622635 -4.29688683 -1.64835748 4.46115392 3 -4.29688683 1.64835748 4.46115392 -4.29688683 -1.35164252 4.90622635 4 -4.29688683 -0.13540878 4.90622635 -4.29688683 -3.13540878 -0.00000000 5 5.16421526 -0.00000000 0.00000000 5.16421526 -0.00000000 0.00000000
6 6.76942304 0.00000000 -0.00000000 6.76942304 0.00000000 0.00000000 7 5.16421526 0.00000000 -0.00000000 5.16421526 0.00000000 0.00000000 8 -1.21623374 -0.00000000 0.00000000 -1.21623374 -0.00000000 0.00000000 9 -2.97161870 0.00000000 -0.00000000 -2.97161870 0.00000000 0.00000000 10 -2.97161870 0.00000000 -0.00000000 -2.97161870 0.00000000 0.00000000 11 -1.21623374 0.00000000 -0.00000000 -1.21623374 0.00000000 0.00000000
横梁与桁架相对刚度比
=1/3
轴力图
剪力图
弯矩图
-------------------------------------------------------------------------------------------- 杆端 1 杆端 2
---------------------------------------- ------------------------------------------ 单元码 轴力 剪力 弯矩 轴力 剪力 弯矩
-------------------------------------------------------------------------------------------- 1 -4.44784504 3.03476997 -0.00000000 -4.44784504 0.03476997 4.60430992
2 -4.44784504 1.01306477 4.60430992 -4.44784504 -1.98693523 3.14350423 3 -4.44784504 1.98693523 3.14350423 -4.44784504 -1.01306477 4.60430992 4 -4.44784504 -0.03476997 4.60430992 -4.44784504 -3.03476997 0.00000000 5 5.34564445 0.00000000 -0.00000000 5.34564445 0.00000000 0.00000000 6 7.42824788 -0.00000000 0.00000000 7.42824788 -0.00000000 0.00000000 7 5.34564445 0.00000000 -0.00000000 5.34564445 0.00000000 0.00000000 8 -0.97829480 -0.00000000 -0.00000000 -0.97829480 -0.00000000 0.00000000 9 -3.58199843 0.00000000 -0.00000000 -3.58199843 0.00000000 0.00000000 10 -3.58199843 -0.00000000 0.00000000 -3.58199843 -0.00000000 -0.00000000 11 -0.97829480 0.00000000 -0.00000000 -0.97829480 0.00000000 0.00000000
横梁与桁架相对刚度比
=1/4
轴力图
剪力图
弯矩图
杆端内力值 ( 乘子 = 1)
杆端 1 杆端 2
---------------------------------------- ------------------------------------------ 单元码 轴力 剪力 弯矩 轴力 剪力 弯矩
-------------------------------------------------------------------------------------------- 1 -4.51212573 2.99191618 -0.00000000 -4.51212573 -0.00808382 4.47574855 2 -4.51212573 0.78327126 4.47574855 -4.51212573 -2.21672874 2.32556233 3 -4.51212573 2.21672874 2.32556233 -4.51212573 -0.78327126 4.47574855 4 -4.51212573 0.00808382 4.47574855 -4.51212573 -2.99191618 0.00000000 5 5.42290022 -0.00000000 0.00000000 5.42290022 -0.00000000 -0.00000000 6 7.83721884 -0.00000000 0.00000000 7.83721884 -0.00000000 -0.00000000 7 5.42290022 0.00000000 -0.00000000 5.42290022 0.00000000 0.00000000 8 -0.79135508 0.00000000 -0.00000000 -0.79135508 0.00000000 0.00000000 9 -3.99626457 0.00000000 -0.00000000 -3.99626457 0.00000000 0.00000000 10 -3.99626457 -0.00000000 0.00000000 -3.99626457 -0.00000000 -0.00000000 11 -0.79135508 0.00000000 -0.00000000 -0.79135508 0.00000000 0.00000000 -------------------------------------------------------------------------------------------- 分析与结论：
当相对刚度变小时，轴力增加，弯矩增大，剪力无明显变化；当相对刚度增大时，轴力减小，弯矩减小，剪力无明显变化。所以应当合理增大相对刚度，使内力减小。