Тест 3.8 Zacritical bending of an articulated rod

Verification of the LIRA-FEM software / Тест 3.8 Zacritical bending of an articulated rod / Analytical solution: L. D. Landau, E. M. Lifshits Theory of Elasticity, M.: "Science", 1987, p. 107. 107.

Geometrically nonlinear problems for threads, cable-stayed trusses, rods, membranes and plates

Analytical solution: Л. D. Landau, E. M. Lifshits Theory of Elasticity, Moscow: "Science, 1987, p. 107.

Geometry:

L = 10 м;
A = 0.02 м²;
I = 2 x 10^-6 м⁴.

Material characteristics: Е = 2 х 10⁷ т/м².

Boundary conditions: w_A = w_C = 0, u_B = 0.

Stresses: F = 1.085 т, F1 = 4 x 10^-4 т.

CALCULATION RESULTS:

Point	The desired value	Analytical solution	Calculation results (LIRA)	Uncertainty,%
A	u_A, м	1,82	1,77	2,75
C	u_C, м	-1,82	-1,77	2,75
B	w_B, м	5,05	5,07	0,4

Preview image: Array

Note: For the construction of the scheme was used FE 309 (geometrically non-linear rod FE). Number of nodes:101. Number of elements:100.

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Тест 3.8 Zacritical bending of an articulated rod

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