Elasticity/Torsion of rectangular sections
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Sample homework problem[edit | edit source]
Torsion of a bar with a rectangular cross section[edit | edit source]
Given:
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[edit | edit source]
For compatibility, we need
However, for the given ,
which is not constant. Hence, the given function cannot be used as a Prandtl stress function.