Тест 1.10 The parallelepiped under the action of its own weight
Verification of the LIRA-FEM software / Тест 1.10 The parallelepiped under the action of its own weight / Analytical solution: S. Timoshenko, Théorie de l’élasticité, Paris, Librairie Polytechnique Ch. Béranger, 1961, pages 279 – 282.
Analytical solution: S. Timoshenko, Théorie de l’élasticité, Paris, Librairie Polytechnique Ch. Béranger, 1961, pages 279 – 282.
Geometry:
 |
l = 3 м; a = b = 0.5 м. |
Material characteristics: Е = 2 х 105 МPа, ν = 0.3, y = 7800 kg/m3.
Boundary conditions: Point A is pinched.
Stresses: Own weight.
CALCULATION RESULTS:
|
Point |
The desired value |
Analytical solution |
Calculation results (LIRA) |
Uncertainty,% |
|
В |
w, м |
1,72 x 10-6 |
1,72166 x 10-6 |
0,1 |
|
В и С |
Dw, м |
0,014 x 10-6 |
0,01217 x 10-6 |
13 |
|
А и D |
Du, м |
0,17 x 10-6 |
0,16846 x 10-6 |
0,91 |
|
А |
σZZ, МПа |
0,229 |
0,220171 |
3,85 |
|
Е |
σZZ, МПа |
0,1145 |
0,114777 |
0,24 |
Preview image: Array 
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