exam1-solution - Name EGM5533 Applied Elasticity IN TERM...

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2 - 1 2 - 0 7 N a m e : EGM5533 Applied Elasticity IN TERM EXAM In this exam, you may use only one 8.5x11” formula page. Note that explaining in words how you obtain answers counts for 50% of the credit. Please sign a pledge that you have not violated any of the university honesty provisions with regards to this exam. _____________________ 1. (30%) The stress tensor is given as [] 10 0 0 040 00 2 σ = and the yield stress is 20 a) What are the principal directions? Since the stress tensor is diagonal the x,y,z system is the principal system, and the principal directions are (1,0,0), (0,1,0), and (0,0,1). b) What are the safety margins using the Tresca, Von-Mises and Rankine criteria? Tresca: Maximum shear stress is 0.5(10+2)=6. This should be compared to Y/2=10. So safety factor is 10/6=1.667. Von Mises: () 222 22 2 12 23 31 11 6 6 12 108 e σσ ⎡⎤ =− + + =+ + = ⎣⎦ So safety factor is 20 108 Rankine: Maximum principal stress is 10, so safety factor is 20/10=2.
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Name: 2. The three bar truss below is made from a material with a coefficient of thermal expansion
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This note was uploaded on 01/03/2012 for the course EGN 5533 taught by Professor Staff during the Spring '08 term at University of Florida.

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exam1-solution - Name EGM5533 Applied Elasticity IN TERM...

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