Advanced Mechanics of Materials
MIME 4300/5300
Dr. Hefzy
Fall 2025
HOMEWORK # 1
Problem # 1
Data for problems 1 and 2
Problem # 2
For the data of problem 1, determine approximately the modulus of toughness.
Problem # 3
By adding plasticizers to polyvinyl chloride, it is possible to
reduce its stiffness. The stress–strain diagrams for three
types of this material showing this effect are shown in the
figure. Specify the type that should be used in the
manufacture of a rod having a length of 5 in. and a diameter
of 2 in., that is required to support at least an axial load of
20 kip and also be able to stretch at most 1 in.
Problem # 4
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Problem # 5
The stress–strain diagram for polyethylene, which is used to sheath coaxial cables, is determined
from testing a specimen that has a gage length of 10 in. If a load P on the specimen develops a
strain of ε = 0.024 in./in., determine the approximate length of the specimen, measured between
the gage points, when the load is removed. Assume the specimen recovers elastically.
Problem # 6
Solve problem 1.29 (pages 23-24) in your textbook.
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