1.10 The parallelepiped under the action of its own weight

Verification of the LIRA-FEM software / 1.10 The parallelepiped under the action of its own weight / Analytical solution: S. Timoshenko, Théorie de lélasticité, Paris, Librairie Polytechnique Ch. Béranger, 1961, pages 279 282.



Analytical solution: S. Timoshenko, Théorie de lélasticité, Paris, Librairie Polytechnique Ch. Béranger, 1961, pages 279 282.

Geometry:


l = 3 ;
a = b = 0.5 .

Material characteristics: = 2 105 P, 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,%

w,

1,72 x 10-6

1,72166 x 10-6

0,1

Dw,

0,014 x 10-6

0,01217 x 10-6

13

D

Du,

0,17 x 10-6

0,16846 x 10-6

0,91

σZZ,

0,229

0,220171

3,85

σZZ,

0,1145

0,114777

0,24



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