Ring under external pressure
BucklingIn developmentBuckling of a thin ring, ovalization mode
- Source:
- Timoshenko & Gere, Theory of Elastic Stability
- Tolerance:
- 5%
Problem statement
- Geometry
- Thin circular ring of mean radius R, bending rigidity EI.
- Material
- Linear-elastic isotropic material, Young's modulus E.
- Boundary conditions
- Uniform radial external pressure (load per unit circumference).
- Measured quantity
- Critical pressure p_cr = 3EI/R³ (n = 2 ovalization mode).
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