说明
该结构由一个工字钢和两个桁架组成。 The structure contains several imperfections and it is loaded by the force Fz. 下面的参数集描述了该问题。 示例中忽略自重。 Determine the deflections uy and uz and axial rotation φx at the endpoint (Point 4). 验算示例是基于 Gensichen 和 Lumpe 提出的示例(参见参考资料)。
材料 | 钢S355 | 弹性模量 | E | 210000,000 | MPa |
剪切模量 | G | 81000,000 | MPa | ||
几何尺寸 | 结构 | 截面 1 长度 | L1 | 4,000 | m |
截面 2 长度 | L2 | 4,000 | m | ||
截面 3 长度 | L3 | 2,500 | m | ||
桁架支座位置 | [LinkToImage02] | 2,500 | m | ||
缺陷 | 点 2 | ey2 | -40.000 | mm | |
点 4 | e、4 | 12,500 | mm | ||
工字形 | 高度 | [SCHOOL.] | 400,000 | mm | |
宽度 | B | 180,000 | mm | ||
腹板厚度 | S | 10,000 | mm | ||
翼缘厚度 | t1 | 14,000 | mm | ||
圆管 | 外径 | D | 60,300 | mm | |
墙厚度 | t2 | 5,000 | mm | ||
荷载 | 力 | [F7] | 14,000 | kN | |
偏心 | eFy | 20,000 | mm | ||
eFz | -193.00 | mm |
解析解
分析解不可用。 本文中参考了软件 S3D 的计算结果。
RFEM 和 RSTAB 设置
- 在 RFEM 6.06 中建模
- 单元尺寸 lFE = 0.020 m
- 使用各向同性线弹性材料模型
- 增量数目为10
- 使用了 Analysys 大变形分析
- The problem is modeled both by members and a combination of members and surface elements
结果输出
RFEM 6 中使用了两种建模技术。 First, the I-section is modeled as a beam with imperfections and tubes as trusses (only N). Second, the tubes are trusses while the I-section beam is modeled by means of plates, considering the given imperfections. A fixed support at Point 1 is created by rigid line supports.
结果输出
数量 | S3D | RFEM 6 - 杆件 | 比值 | RFEM 6 - 杆件和板 | 比值 |
Uy [mm] | 14,800 | 16,300 | 1,101 | 15,900 | 1,074 |
U[SCHOOL.ZIP] [mm] | 16,900 | 18,000 | 1,065 | 17,800 | 1,053 |
φx [mrad] | 237,000 | 242,200 | 1,022 | 254,400 | 1,073 |