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.
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