Тест 1.9 Cantilever plate under the action of a pair of forces

Verification of the LIRA-FEM software / Тест 1.9 Cantilever plate under the action of a pair of forces / Analytical solution: J. Robinson, Element evaluation. A set of assessment parts and tests, Proceeding of Finite Element Methods in the commercial environment, vol. 1, octobre 1978. J.L. Batoz et M.B. Tahar, Evaluation of new quadrilateral thin plate boundary element, International Journal for numerical methods in engineering, vol. 18, Jon Wiley & Sons, 1982.



Тест 1.9  Cantilever plate under the action of a pair of forces

Analytical solution: J. Robinson, Element evaluation. A set of assessment parts and tests, Proceeding of Finite Element Methods in the commercial environment, vol. 1, octobre 1978. J.L. Batoz et M.B. Tahar, Evaluation of new quadrilateral thin plate boundary element, International Journal for numerical methods in engineering, vol. 18, Jon Wiley & Sons, 1982.

Geometry:


Толщина h = 0.05 м;
L = 12 м;
l = 1 м.

Material characteristics: Е = 1.0 x 107 Па, ν = 0.25.

Boundary conditions: AD side is pinched.

Stresses: FB = 1 H, FC = 1 H.

CALCULATION RESULTS:

Point

The desired value

Analytical solution

Calculation results (LIRA)

Uncertainty,%

С

w, м

35,37 x 10-3

35,2954 x 10-3

0,21


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