Consider a hollow elliptic cylinder with its outer elliptic surface defined by (x/h)2 + (y...

Consider a hollow elliptic cylinder with its outer elliptic surface defined by (x/h)2 + (y/b)2 = 1 and inner elliptic surface defined by [x/(kh)]2+ [y/(kb)]2 = 1. Show that

and

Hint: By the theory of hollow torsional members (Boresi and Chong, 2000). the twisting moment T is related to ϕ by the relation