Simply supported beam under UDL
StaticIn developmentMid-span deflection of a simply supported beam
- Source:
- Euler-Bernoulli beam theory
- Tolerance:
- 3%
Problem statement
- Geometry
- Slender prismatic beam of span L on two simple supports.
- Material
- Linear-elastic isotropic material, Young's modulus E.
- Boundary conditions
- Pinned/roller supports at both ends; a uniformly distributed transverse load q.
- Measured quantity
- Mid-span deflection against δ = 5qL⁴/(384EI); mid-span moment qL²/8.
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