Тест 1.13 Rod on an elastic base
Verification of the LIRA-FEM software / Тест 1.13 Rod on an elastic base / Analytical solution: w = -qx/(C1q), M = 0, Q = -C2q/(C1l).
Analytical solution: w = -qx/(C1q), M = 0, Q = -C2q/(C1l).
Geometry:
l = 10 м; I = 2 x 10-6 м4; A = 0.003 м2; shear area F = 0.0025 м2. |
Material characteristics: Е = 2.1 х 107 t/m2, G = 7.875 x 106 t/m2.
Boundary conditions: Elastic base: С1=500 t/м2, С2=100 т;.
uA = uВ = 0.
Stresses: q = 50 т/м, Р2 = -Р1 = 1 т.
CALCULATION RESULTS:
Point |
The desired value |
Analytical solution |
Calculation results (LYRA) |
Uncertainty,% |
В |
Relocating wB, м |
-0,1 |
-0,1 |
0 |
Any |
Moment Мy, tм |
0 |
0 |
0 |
Any |
Power Qz, т |
1 |
1 |
0 |
Any |
Turning angle θY, рад |
0,01 |
0,01 |
0 |
А |
Relocating wA, м |
0 |
0 |
0 |
Note:
For the construction of the scheme used FE 10 (rod FE).
Number of nodes:21.
Number of elements:20.
FILES
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