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.
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 |
 |
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 |
 |
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 |
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.
FILES
Verification examples
- Section 1 Linear static problems for rod systems, plates and shells, three-dimensional problems
- Section 2 Physically nonlinear problems
- Section 3 Geometrically nonlinear problems for threads, cable-stayed trusses, rods, membranes and plates
- Section 4 Çàäà÷è óñòîé÷èâîñòè, â îñíîâíîì èçãèáíî-êðóòèëüíûå ôîðìû ïîòåðè óñòîé÷èâîñòè
- Section 5 Modal analysis
- Section 6 Linear dynamic problems
- Section 7 Static and dynamic problems with one-sided constraints
- Section 8 Geometric characteristics of the section
- Section 9 Procritical calculations
- Section 10 Problems of stationary and non-stationary heat conduction
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