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.

Linear static problems for rod systems, plates and shells, three-dimensional problems

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	σ_ZZ, МПа	0,229	0,220171	3,85
Е	σ_ZZ, МПа	0,1145	0,114777	0,24

Preview image: Array

Note: For constructing the scheme used KE 41 (rectangular KE) and KE 31 (parallelepiped). Number of nodes:325. Number of elements:208.

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Тест 1.10 The parallelepiped under the action of its own weight

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