Cantilever beam (Euler-Bernoulli)
StaticPASS · 1.03%Tip deflection of a slender cantilever under a distributed load
- Tolerance:
- 5%
Problem statement
- Geometry
- Prismatic slender beam with a span/height ratio ≥ 16 (transverse shear negligible).
- Material
- Linear-elastic isotropic material, Young's modulus E and Poisson's ratio ν.
- Boundary conditions
- Fully fixed at one end; a uniform transverse pressure over the free length.
- Measured quantity
- Vertical deflection at the free end, against the closed form δ = qL⁴/(8EI).
Results comparison
| Reference value | 0.49152 m |
| Our result | 0.48644 m |
| Deviation | 1.03% |
| Tolerance | 5% |
| Status | PASS · 1.03% |
| Element family | Solid element |
| Mesh details | 128×8×8 structured hex mesh, box-only geometry, 31347 |
Updated: 2026-07-03 · WebCAE solver