Torsion of a circular shaft
StaticIn developmentSaint-Venant torsion, exact for a circular section
- Source:
- Saint-Venant / Timoshenko & Goodier, Theory of Elasticity
- Tolerance:
- 1%
Problem statement
- Geometry
- Prismatic bar of circular cross-section, diameter d, length L (no warping).
- Material
- Linear-elastic isotropic material, shear modulus G.
- Boundary conditions
- Torque T applied at the free end, other end fixed.
- Measured quantity
- Twist θ = TL/(GJ), J = πd⁴/32; surface shear τmax = 16T/(πd³).
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