VMR029-T4

VMR029-T4
Lateral Torsional Buckling of an Elastic Cantilever Subjected to Transverse End Load

Test Description

A cantilever of length L = 100, height H = 5 and thickness t = 0.2 is supported in all directions at the built-in end. A conservative load and a non-conservative load are applied using arc-length procedures and the model is solved for tip lateral displacement.

Geometic Properties

Material Properties

L = 100

H = 5

t = 0.2

Boundary Conditions

Applied at built-in end:

U_y = 0

U_x = 0

U_z = 0

E = 1.0 x 10⁴

G = 0.5 x 10⁴

Conservative: nodal force P

Non-conservative: nodal follower force P

Results

Results are tabulated and displayed as in the NAFEMS manual.


          |   Mechanical APDL   |   RATIO   |      TEST      |
  
 SHELL181
  PCR             .01899           1.0039      vmr029-t4-181  
 SOLID185
  PCR             .02002           1.0583      vmr029-t4-185  
 BEAM188
  PCR             .01908           1.0085      vmr029-t4-188  
 BEAM189
  PCR             .01893           1.0003      vmr029-t4-189  
 SOLSH190
  PCR             .01950           1.0307      vmr029-t4-190  
 SHELL281
  PCR             .01888           0.9979      vmr029-t4-281  
  
 -------------------------------------------------------------

Element Mechanical APDL Ratio Test Input

Note: VMR029-T4-190 / VMR029-T4-281 requires a supplemental .cdb input file which is too long to include full input listings. This file must be present in your working directory for the test case to run properly. Additionally, the geometry and mesh should be regenerated.

Download link: MAPDL Test Case Files for 2024 R2