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EGRB 427 Biomaterials

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EGRB 427 Biomaterials
Homework 2
Name:
“On my honor, I have neither given nor received aid on this assignment, and
I pledge that I am in compliance with the VCU Honor System.”
Signature______________________________________
Due in-class Friday Oct. 3, 2014
Total points possible: 27
1. A cylindrical specimen of aluminum having a diameter of 19 mm (0.75 in.)
and length of 200 mm (8.0 in.) is deformed elastically in tension with a force
of 48,800 N (11,000 lb). The elastic modulus of aluminum is E=69X10
9
N/m
2
.
Determine the following:
(a) The amount by which this specimen will elongate in the direction of the
applied stress. (2 points)
(b) The change in diameter of the specimen. Will the diameter increase or
decrease? (The Poisson's ratio for aluminum is =0.33) (3 points)
2. Someone brings you the femoral stem of a hip joint prosthesis that has
fractured in its midsection after 15 years in a patient.
(a) Using your knowledge to date, what is the most likely cause for this
failure? Would you expect this fracture to be more brittle or ductile in
character? (2 points)
(b) After determining that the above material is no longer suitable for a
femoral stem, you decide to examine a new material. Tensile testing results
are shown below. A cylindrical dog-bone specimen with a diameter of 12.8
mm and a length of 60 mm in the testing region was used. What is the
elastic modulus for this material? What is the maximum stress you would
want to apply to this material before it would fail for this application? What
is the ultimate tensile strength? (6 points)

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(c) A colleague proposes the idea of using one of the following two shapes
as opposed to the typical dog-bone shape for tensile testing of your
material. Is either of these a viable option? Why or why not? (3 points)
3. A cylindrical rod 100 mm long and having a diameter of 10.0 mm is to be
deformed using a tensile load of 27,500 N. It must not experience either
plastic deformation or a diameter reduction of more than 7.510
-3
mm. Of
the materials listed as follows, which are possible candidates? Justify your
choice(s). (6 points)

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EGRB 427 Biomaterials Homework 2 Name: “On my honor, I have neither given nor received aid on this assignment, and I pledge that I am in compliance with the VCU Honor System.” Signature______________________________________ Due in-class Friday Oct. 3, 2014 Total points possible: 27 1. A cylindrical specimen of aluminum having a diameter of 19 mm (0.75 in.) and length of 200 mm (8.0 in.) is deformed elastically in tension with a force of 48,800 N (11,000 lb). The elastic modulus of aluminum is E=69X109 N/m2. Determine the following: (a) The amount by which this specimen will elongate in the direction of the applied stress. (2 points) (b) The change in diameter of the specimen. Will the diameter increase or decrease? (The Poisson's ratio for aluminum is =0.33) (3 points) 2. Someone brings you the femoral stem of a hip joint prosthesis that has fractured in i ...
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