Elasticity/Torsion of rectangular sections
Sample homework problem
editTorsion of a bar with a rectangular cross section
editGiven:
A cylinder with a rectangular cross sections under torison.
Show:
Why a function of the form
cannot be used as a Prandtl stress function for this cross section.
Solution
editFor compatibility, we need
However, for the given ,
which is not constant. Hence, the given function cannot be used as a Prandtl stress function.