Cantilever beam (Timoshenko)
StaticPASS · 1.29%Tip deflection of a stocky beam including shear deformation
- Tolerance:
- 5%
Problem statement
- Geometry
- Prismatic beam with a low span/height ratio, where the shear contribution to deflection is significant.
- Material
- Linear-elastic isotropic material, E and ν (shear modulus G = E/[2(1+ν)]).
- Boundary conditions
- Fully fixed at one end; a transverse tip load.
- Measured quantity
- Tip deflection against the Timoshenko solution (Euler-Bernoulli term plus the shear correction).
Results comparison
| Reference value | 0.0312192 m |
| Our result | 0.030817 m |
| Deviation | 1.29% |
| Tolerance | 5% |
| Status | PASS · 1.29% |
| Element family | Solid element |
| Mesh details | 96×14×14 structured hex mesh, box-only geometry, 65475 |
Updated: 2026-07-03 · WebCAE solver