Midterm oct 21 2009 solution apsc278

Midterm oct 21 2009 solution apsc278 - THE UNIVERSITY OF...

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THE UNIVERSITY OF BRITISH COLUMBIA Department of Materials Engineering APSC 278 Engineering Materials MID-TERM EXAMINATION, Oct. 21, 2009 This is a closed book examination. Use of relevant material stored in programmable calculators prohibited. Answer all questions. Show all work and units. The complete exam is 7 pages in length Name: Student #:
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A cylindrical sample of titanium having a diameter of 15 mm and length of 100 mm is deformed elastically in tension with a force of 50 kN. Given that the modulus of elasticity for titanium is 110 GPa and Poissons ratio is 0.34, determine the following: 1. the amount the sample will elongate in the direction of the applied stress? σ = F A 0 = 50000 N π × (15 mm ) 2 4 = 282 . 9 MPa ± A = σ E = 282 . 9 110000 = 0 . 0026 4 l = l 0 × ± = 0 . 26 mm 2. the change in diameter of the sample ϑ = - ± d ± A ± d = 0 . 0026 × 0 . 34 = - 0 . 0009 ± d = 4 d d 0 4 d = ± d × d 0 = - 0 . 0131 mm a) Sketch a typical engineering stress-strain for brass, identifying the following regions: elastic deformation, uniform plastic deformation, non-uniform plastic deformation (necking). b) Superimpose on this plot, the true stress-true strain curve. Clearly identify the location of the necking point on the engineering and the true stress-strain curves.
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This note was uploaded on 03/28/2012 for the course APSC 278 taught by Professor Poole during the Spring '08 term at The University of British Columbia.

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Midterm oct 21 2009 solution apsc278 - THE UNIVERSITY OF...

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