# Final-F10 - ME 382 Fall 2010 Final Exam Thursday, December...

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1/15 ME 382 Fall 2010 Final Exam Thursday, December 16, 2010 This is a closed book exam; students are allowed an unmarked copy of the ME382 data book. Show all calculations for full credit . If you need more paper, staple it to the back of this exam. There are a total of 15 pages to this exam, including the cover page. Use a ruler / straight edge to read from any graphs. Name: Honor Pledge: Section Number (1=Daly, 2=Lu): Problem 1: 25 points Problem 2: 25 points Problem 3: 25 points Problem 4: 25 points Total: 100 points Make sure to watch your units!

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2/15 Question 1 (25 points) (1a- 10 points total) A solid circular shaft has a diameter of 60 mm and is subjected to a tensile axial load of 200 kN, a bending moment of 3.0 kN.m, and a torque of 5.0 kN.m. A safety factor against yielding of 2.0 is needed using the Tresca criterion. Figure 1a – for Problem 1a only. (8 points) What minimum yield strength must the shaft material have? (2 points) If you calculated the minimum shaft yield strength (for a safety factor of 2 against yielding) using the Von Mises criterion instead, would you get a higher or lower yield strength than what you calculated using Tresca, above? Why?
3/15 (1b – 9 points total) You have a 2.5 m 3 cube of material with a Young’s modulus of 500 MPa, a Poisson’s ratio of 0.33, and a yield strength of 400 MPa. You compress the cube uniaxially with a uniform applied stress of 2.0 MPa. The cube is put into a rigid box, so that it cannot expand laterally in any direction perpendicular to the applied stress, as shown in Figure 1b-A. Figure 1b-A (3 points) Calculate the strain in the direction of the applied stress ( ε zz ):

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4/15 (3 points) What is the total elastic energy stored in the cube? Give your answer in units of Joules. (1 point)
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## This note was uploaded on 09/12/2011 for the course MECHENG 382 taught by Professor Thouless during the Fall '08 term at University of Michigan.

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Final-F10 - ME 382 Fall 2010 Final Exam Thursday, December...

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