Cantilever beam (Euler-Bernoulli)
StaticIn developmentTip deflection of a slender cantilever under a distributed load
- Source:
- Euler-Bernoulli beam theory
- Tolerance:
- 3%
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).
Script
Lands with the scripting engine (see Documentation) — this setup will be runnable from commands, no manual rebuild needed.
Results comparison
The solver core is still in development — there's no result yet. It'll appear here right after the first run, no retouching.
Updated: not yet run