Assignment 2 (plasticity)
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Apr 3, 2024
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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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