Тест 1.11 Pure bending of the prismatic bar
Verification of the LIRA-FEM software / Тест 1.11 Pure bending of the prismatic bar / Analytical solution: S. Timoshenko, Théorie de l’élasticité, Paris, Librairie Polytechnique Ch. Béranger, 1961, pages 284 – 289.
Analytical solution: S. Timoshenko, Théorie de l’élasticité, Paris, Librairie Polytechnique Ch. Béranger, 1961, pages 284 – 289.
Geometry:
 |
l = 6 м; a = b = 1 м; l’ = (2/3)l. |
Material characteristics: Е = 2 х 105 МПа, ν = 0.3.
Boundary conditions: On the plane passing through the point В: w=0,
at point B: w = u = v = 0, θZ = 0.
Loads: At point C a moment is applied around the axis Y, My = 4/3 x 107 Нм.
CALCULATION RESULTS:
|
Point |
The desired value |
Analytical solution |
Calculation results (LIRA) |
Uncertainty,% |
|
А |
uA, м |
-4 x 10-4 |
-3,836 x 10-4 |
4,1 |
|
В |
wB, м |
2 x 10-4 |
1,918 x 10-4 |
4,1 |
|
F и G |
vF = - vG, м |
0,15 x 10-4 |
0,14455 x 10-4 |
3,63 |
|
D и E |
vD = - vE, м |
-0,15 x 10-4 |
-0,14455 x 10-4 |
3,63 |
Preview image: Array 
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