HW5solution - AE 321 - Homework #5 Exam I Review Problems...

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AE 321 - Homework #5 Exam I Review Problems 1. (a) on AB: cos sin ) 90 sin( ) 90 cos( n the applied tractions are: cos sin P P T     cos sin cos cos sin sin 22 12 12 11 2 22 1 12 2 2 12 1 11 1 P P n n T n n T On BCD: sin cos and sin cos P P T n sin cos sin sin cos cos 22 12 12 11 P P On DE: 0 P - T and 0 1 n 0 0 1 0 0 1 12 11 22 12 12 11 P P On AE: P T n 0 and 1 0 P P 22 12 22 12 12 11 0 1 0 1 0 0 (b) Assume   0 0 0 0 0 0 0 P p
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AE 321 - Homework #5 Exam I Review Problems Since it is as constant field, 0 , j ij (equilibrium is satisfied) Also all other B.C.’s are satisfied. (c) P 3 2 1 , 0 Therefore,     2 0 2 1 max P P The max stress acts on the 1-2 or 1-3 planes, i.e., through the thickness 2. ij   P 0 0 0 P 0 0 0 P   P ij (a) The equilibrium equations for the case of no body forces is given by the following expression Failure on these planes
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AE 321 - Homework #5 Exam I Review Problems ij , j ij x j 0 (3.1) Since the state of stress is constant everywhere in the body, the equilibrium equations are satisfied everywhere.
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HW5solution - AE 321 - Homework #5 Exam I Review Problems...

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