Assignment 2 (plasticity)

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McMaster University *

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3M03

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Mechanical Engineering

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Apr 3, 2024

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pdf

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2

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MATLS 3M03: Mechanical Behaviour of Materials Assignment 2, 2024 WS Student full name: Student ID number: MATLS 3M03: MECHANICAL BEHAVIOUR OF MATERIALS Assignment 2: Plastic behaviour Instructor: Oleg Rubel Instructions: Provide enough details to justify the solution (not just a final answer). Provide a full reference to external resources when used (including pages for a book or URL for web sites). Question 1: [2 points] Two distinct materials undergo tensile testing. Although both specimens were originally identical, after deformation they assume different shapes as shown below. L 0 d 0 L 1 d 1 L 2 d 2 a b Determine the corresponding true strain for each case, provided dimensions are: L 0 = 30 mm, L 1 = 50 mm, L 2 = 40 mm, d 0 = 5 mm, d 1 = 4 mm, d 2 = 3 . 5 mm. Justify the approach. Page 1 of 2
MATLS 3M03: Mechanical Behaviour of Materials Assignment 2, 2024 WS Question 2: [5 points] Determine the maximum allowable torque T that can be transmitted by the joint. The shear pin A has a diameter of d = 27 mm, and it is made from one of materials listed in the table below (make your own choice). The width of the fork is L = 100 mm. Apply a safety factor of 3.0 against failure. Material Young’s Yield Ultimate tensile Elongation at modulus (GPa) strength (MPa) strength (MPa) fracture (%) Aluminum alloy 69 240 310 15 6061 (T6 temper) Alloy steel E4130 200 460 560 22 Titanium alloy 114 1100 1170 10 6Al-4V Note: (Optional) You can try to solve this problem using two different yield criteria learned in the class. The choice of the yield criterion will affect your result for the allowable torque T . The more conservative yield criterion provides a smaller allowable torque. L Question 3: [3 points] What is the difference between solute hardening and precipitate hardening? Provide examples of materials. Question 4: [2 points] Metals with f.c.c. or b.c.c. lattice usually exhibit higher ductility than metals with h.c.p. type of lattice. What is the reason for this? Provide examples of materials. Page 2 of 2
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