HW5 - AE 321 Homework #5 Due: Not Graded. Do NOT hand in....

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AE 321 – Homework #5 Due: Not Graded. Do NOT hand in. Chapters 1, 2, 3: Practice for Exam 1. (Old exam question) A thin plate shaped as shown is loaded by an external traction P as illustrated in the diagram below. Assume that the plate is thin enough for ± 3i = 0 to be valid. (a) What are the boundary conditions (i.e., stress in terms of applied traction) on the four sides of this plate? (b) Assume that the stress state satisfying all boundary conditions is also the internal stress state of the object. Show that this stress state satisfies equilibrium (assuming no body forces). (c) Find the maximum shear stress in the plate. In which plane(s) does this maximum shear stress act (draw a sketch)? ± A B C D P x 2 x 1 P P P E
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2. Assume that the stress state in the interior of the body is given in a Cartesian coordinate system by: ± ij ² ³ ´ µ = P 00 0 P 0 P ² ³ · · · ´ µ ¸ ¸ ¸ kPa Note: This stress state is called isotropic or hydrostatic.
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This note was uploaded on 03/07/2011 for the course AE 311 taught by Professor Dutton,j during the Spring '08 term at University of Illinois, Urbana Champaign.

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HW5 - AE 321 Homework #5 Due: Not Graded. Do NOT hand in....

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