Тест 2.1 Rigid beam on hangers

Verification of the LIRA-FEM software / Тест 2.1 Rigid beam on hangers / Analytical solution: B. Halphen et J. Salencon, Elastoplasticité, Presses de l’ENPC.

Physically nonlinear problems

Analytical solution: B. Halphen et J. Salencon, Elastoplasticité, Presses de l’ENPC.

Geometry:

l = AA’ = 1 м;
S = S(1) = S(2) = S(3) = 10^-4 м² .

Material characteristics:

Nonlinearly elastic
σ_Y = 400 МПа, Е = 2,1 х 10⁵ МПа,
Е_Т = 0,25 х 10⁵ МPа.

Boundary conditions: Hinges at the points А’, B’, C’.

Loads: Сила Q = (13/7)σ_YS is attached in the middle of the BC span

CALCULATION RESULTS:

Point	The desired value	Analytical solution	Calculation results (LIRA)	Uncertainty,%
А	N₁, кН	4,16	4,51518	8,54
В	N₂, кН	28,762	28,1126	2,26
С	N₃, кН	41,333	41,6582	0,8
А	d₁, м	1,995 x 10^-4	2,15033 x 10^-4	7,8
В	d₂, м	13,696 x 10^-4	13,3885 x 10^-4	2,25
С	d₃, м	25,397 x 10^-4	24,6259 x 10^-4	3,04

Preview image: Array

Note: To build the scheme we used FE 10 (rod KE) and FE 210 (physically non-linear rod FE). Number of nodes:6. Number of elements:5.

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Тест 2.1 Rigid beam on hangers

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