Rotating disk
StaticIn developmentBody-force (centrifugal) loading, closed-form solution
- Source:
- Timoshenko, Theory of Elasticity
- Tolerance:
- 2%
Problem statement
- Geometry
- Thin solid disk of outer radius R (plane stress), free edge.
- Material
- Linear-elastic isotropic material, E, ν and density ρ.
- Boundary conditions
- Rotation at angular velocity ω (centrifugal body force ρω²r); traction-free rim.
- Measured quantity
- Peak stress at the centre, σmax = (3+ν)/8·ρω²R² (σr = σθ there).
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