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Unformatted text preview: AE 321 Homework #7 Due: Wednesday November 5, 2008 Chapters 5, 6: Problem formulation, Extension, Bending 1. Find all boundary conditions on all surfaces of the hollow circular cylinder (inner radius a, outer radius b) shown below in both (i) Cartesian coordinates and (ii) cylindrical coordinates, where P , P and P i are normal tractions and q a shear traction. Note: the loading shown on the cross sectional figure on the right hand side acts over the entire length L and over the entire circumference. 2. Assume that, in addition to the internal body force density f i , there exists an internal body moment density w i ( x 1 ,x 2 ,x 3 ) such that the moment about the origin caused by this was r M w = w i r e i dV V . In this situation how will the equations of motion and the symmetry of the stress tensor be affected and why? P L P i P o q Loading on cylindrical surfaces 3. Given the solution to the problem of an infinite (i.e. very large) plate with a hole subjected to far field tension illustrated below on the left, how would you calculate the stress solution for the...
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- Spring '08