Òåñò 2.1 Rigid beam on hangers

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



Òåñò 2.1  Rigid beam on hangers

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

Geometry:


l = AA’ = 1 ì;
S = S(1) = S(2) = S(3) = 10-4 ì2 .

Material characteristics:


Nonlinearly elastic
σY = 400 ÌÏà, Å = 2,1 õ 105 ÌÏà,
ÅÒ = 0,25 õ 105 ÌPà.

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

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

CALCULATION RESULTS:

Point

The desired value

Analytical solution

Calculation results (LIRA)

Uncertainty,%

À

N1, êÍ

4,16

4,51518

8,54

Â

N2, êÍ

28,762

28,1126

2,26

Ñ

N3, êÍ

41,333

41,6582

0,8

À

d1, ì

1,995 x 10-4

2,15033 x 10-4

7,8

Â

d2, ì

13,696 x 10-4

13,3885 x 10-4

2,25

Ñ

d3, ì

25,397 x 10-4

24,6259 x 10-4

3,04

Preview image: Array

FILES
Text file
Source data text file for PC LIRA-SAPR 2011: download

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