APSC278 1999

APSC278 1999 - Applied Science 278 December Exam - 1999 THE...

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Applied Science 278 December Exam - 1999 1 THE UNIVERSITY OF BRITISH COLUMBIA Department of Metals and Materials Engineering APPLIED SCIENCE 278 Engineering Materials FINAL EXAMINATION, December, 1999 This is a Closed Book Examination. The use of calculators having stored information of relevance to this course is forbidden. Time: 2.5 hours Answer 4 of 5 questions. Each question is worth 25 marks. Some useful formulae and phase diagrams are given on the last two pages of the exam. Marks 1a) A cylindrical rod 750 mm in length, having a diameter of 12.5 mm is to be subjected to a tensile load. The rod should experience neither plastic deformation nor an elongation of 1.3 mm when the applied load is 40 000 N. Material Modulus of Elasticity/ GPa Yield Strength / MPa Tensile Strength / MPa Poisson Ratio Aluminum alloy 70 350 450 0.33 Brass 100 400 500 0.34 Steel 210 550 600 0.3 Copper 110 250 400 0.34 (8) i) Which of the four metals or alloys listed above are possible candidates ? Justify your choices. (3) ii) for the acceptable materials in part i), what would be their change in diameter under load. (4) iii) an additional design requirement for the component was that its modulus of resilience should exceed 0.7 MPa. Calculate its value for each material. (2) iv) based on the considerations in parts i-iii, justify which material you would choose for the component.
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Applied Science 278 December Exam - 1999 2 (3) b) Show that the true stress in a tensile test can be expressed as: ( ) ε σ σ + = 1 T (3) c) calculate the strain hardening exponent for an alloy in which a true stress of 450 MPa produces a true strain of 0.15. Assume a value of 950 MPa for the strength coefficient. (2) d) explain from a practical point of view, why it is much easier to measure the modulus of elasticity using a cantilever beam test rather than using a tensile test. 2.
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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 UBC.

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APSC278 1999 - Applied Science 278 December Exam - 1999 THE...

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