Elasticity/Warping of circular cylinder

Example 1: Circular Cylinder edit

Choose warping function


Equilibrium ( ) is trivially satisfied.

The traction free BC is




where   is a constant.

Hence, a circle satisfies traction-free BCs.

  • There is no warping of cross sections for circular cylinders

The torsion constant is


The twist per unit length is


The non-zero stresses are


The projected shear traction is


Compare results from Mechanics of Materials solution