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2024-03-18

VE0213 | 考虑轴力和翘曲的空间弯曲

说明

施加轴力和弯矩(缺陷替换)加载四跨连续梁。 All supports are fork - warping is free. Determine displacements uy and uz, moments My, Mz, Mω and MTpri and rotation φx. The verification example is based on the example introduced by Gensichen and Lumpe (see the reference).

Material Steel S355 弹性模量 E 210000.000 MPa
剪切模量 G 81000.000 MPa
Geometry Beam 周长 l 12.000 m
跨度 Ls 3.000 m
Cross-section 高度 [SCHOOL.] 400.000 mm
宽度 B 180.000 mm
腹板厚度 S 10.000 mm
翼缘厚度 t 14.000 mm
Load Transversal Forces Fy, Fz 31.000 kN
轴力 Fx 1550.000 kN

Analytical Solution

Analytical solution is not available. Results from software S3D are taken as reference.

RFEM and RSTAB Settings

  • Modeled in RFEM 6.05, RSTAB 9.05
  • The element size is lFE= 0.300 m
  • Isotropic linear elastic material model is used
  • Second-Order Analysis and Large deformation Analysys is used
  • Torsional Warping is used in RFEM 6 and RSTAB 9

结果输出

Quantity S3D RFEM 6 - Second-Order Analysys 比值 RFEM 6 - Large Deformation Analysys 比值
uy,max [mm] 12.600 13.334 1.058 13.242 1.051
uz,max [mm] 45.200 44.675 0.988 46.989 1.040
φx,max [mrad] 11.750 12.701 1.081 12.389 1.054
My,max [kNm] 163.000 162.084 0.994 165.738 1.017
Mz,max [kNm] 44.000 46.077 1.047 45.131 1.026
MTpri,max [kNm] 47.000 49.000 1.043 47.930 1.020
MTsec,max [kNm] 172.000 224.071 1.303 118.061 0.686
Mω,max [kNm2] 1.440 1.530 1.063 1.500 1.042

注释: This verification example is not available in Large Deformation Analysis in RSTAB 9 now.

Quantity S3D RSTAB 9 - Second-Order Analysys 比值 RSTAB 9 - Large Deformation Analysys 比值
uy,max [mm] 12.600 13.339 1.059 - -
uz,max [mm] 45.200 44.660 0.988 - -
φx,max [mrad] 11.750 12.845 1.093 - -
My,max [kNm] 163.000 162.064 0.994 - -
Mz,max [kNm] 44.000 45.251 1.028 - -
MTpri,max [kNm] 47.000 49.435 1.052 - -
MTsec,max [kNm] 172.000 137.759 0.801 - -
Mω,max [kNm2] 1.440 1.536 1.067 - -

参考
  1. LUMPE, G. 和 GENSITEN, V. 线性和非线性杆件分析评估理论和软件: 示例、失效原因、详细理论。 欧内斯特。
  2. LUMPE, G. S3D(版本 2011 年 9 月 25 日)。 Biberach University of Applied Sciences, 2011.