Тест 3.6 Strong bending of the console
Verification of the LIRA-FEM software / Тест 3.6 Strong bending of the console / Analytical solution: L. D. Landau, E. M. Lifshitz Theory of Elasticity, M.: Nauka, 1987, p. 106.
Analytical solution: L. D. Landau, E. M. Lifshits Theory of Elasticity, M: Science.», 1987, стр. 106.
Geometry:
 |
L = 10 м; A = 0.05 м2; I = 5 x 10-6 м4. |
Material Characteristics: Е = 2 х 107 т/м2.
Boundary conditions: Point A is pinched.
Stresses: F = 4 т.
The structure was modeled with rod finite elements for strong bending (FE 309), a breakdown of 100 FE, and finite elements for strong plate bending (FE 341), a breakdown of 100 FE along the length, one along the width. The results of the calculations coincide.
CALCULATION RESULTS:
|
Point |
The desired value |
Analytical solution |
Calculation results (LIRA) |
Uncertainty,% |
|
B |
uB, м |
-3,29 |
-3,29 |
0 |
|
B |
wB, м |
-6,7 |
-6,75 |
0,74 |
|
A |
МА, тм |
26,8 |
27,0 |
0,74 |
Comments