Тест 1.12 Round thick slab
Verification of the LIRA-FEM software / Тест 1.12 Round thick slab / Analytical Solution: S.P. Timoshenko, S. Voynovsky-Krieger. Plates and Shells. GIF-ML, Moscow, 1963. p.73-90
Аналитическое решение: S.P. Timoshenko, S. Voynovsky-Krieger. Plates and Shells. GIF-ML, Moscow, 1963, pp.73-90
Geometry:
Material characteristics: Е = 2 х 107 т/м2, v = 0.3
Boundary conditions: The plate is pinched all the way around.
Stresses: P = 1000 t/м2 evenly distributed over the top edge of the plate
CALCULATION RESULTS:
Deflection h=D/а |
The desired value |
Analytical solution |
Calculation results (lyra) |
Uncertainty,%
|
0.012 |
Deflection in the center of the plate, w, mm |
308,5670 |
308,210 |
0,116 |
0.024 |
38,5708 |
38,527 |
0,114 | |
0.048 |
4,8214 |
4.8159 |
0,114 | |
0.012 |
309,583 |
308,6500 |
0,301 | |
0.024 |
39,0786 |
38,7480 |
0,846 | |
0.048 |
5,0753 |
4,9268 |
2,926 |
Verification examples
- Section 1 Linear static problems for rod systems, plates and shells, three-dimensional problems
- Section 2 Physically nonlinear problems
- Section 3 Geometrically nonlinear problems for threads, cable-stayed trusses, rods, membranes and plates
- Section 4 Задачи устойчивости, в основном изгибно-крутильные формы потери устойчивости
- Section 5 Modal analysis
- Section 6 Linear dynamic problems
- Section 7 Static and dynamic problems with one-sided constraints
- Section 8 Geometric characteristics of the section
- Section 9 Procritical calculations
- Section 10 Problems of stationary and non-stationary heat conduction
Comments