Òåñò 3.11 Strong bending of the cantilever plate
Verification of the LIRA-FEM software / Òåñò 3.11 Strong bending of the cantilever plate / Analytical solution: K. J. Bathe, E. N. Dvorkin, “A Formulation of General Shell Elements - The Use of Mixed Interpolation of Tensorial Components”, Int. Journal for Numerical Methods in Engineering, Vol. 22 No. 3, 1986, pg. 720.
Analytical solution: K. J. Bathe, E. N. Dvorkin, “A Formulation of General Shell Elements - The Use of Mixed Interpolation of Tensorial Components”, Int. Journal for Numerical Methods in Engineering, Vol. 22 No. 3, 1986, pg. 720.
Geometry:
 |
l = 12 ìì; b = 1 ìì; t = 1 ìì. |
Material characteristics: Å = 1800 Í/ìì2, ν = 0.0.
Boundary conditions: The contour along the line x = 0 is rigidly pinched.
Stresses: Ì = 15.708 Íìì.
CALCULATION RESULTS:
|
Point |
The desired value |
Analytical solution |
Calculation results (LIRA) |
Uncertainty,% |
|
X = 12 |
Moving uõ, ìì |
-2,9 |
-2,91 |
0,34 |
|
Moving wõ, ìì |
-6,5 |
-6,603 |
1,58 | |
|
Turning angle θõ, ðàä |
1,26 |
1,2566 |
0,27 | |
|
X = 0 |
σX, Í/ìì2 (top layer) |
94,25 |
94,248 |
0,04 |
Preview image: Array
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