The Science and Engineering of Materials (MindTap Course List)
7th Edition
ISBN: 9781305076761
Author: Donald R. Askeland, Wendelin J. Wright
Publisher: Cengage Learning
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Chapter 7, Problem 7.25P
To determine
The design stress for the given brittle nickel aluminide rod under given conditions.
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Compression springs are the most common spring configuration that product manufacturer's turn to
when enhanced product functionality is required. You are required to design a compression spring
that is made of oil-tempered wire of 4-mm diameter with a spring index of C=10. The spring will
operate inside a pipe, so buckling is not a problem and select the ends to be plain. The free length of
the spring should be 80 mm. A force of 50 N should deflect the spring 15 mm.
a) Calculate the spring rate and the solid length.
b) Calculate the total number of coils needed.
c) Calculate the minimum pipe diameter for the spring to operate in.
d) Calculate a static factor of safety based on the yielding of the spring if it is compressed
to its solid length.
Using the tensile test simulation tool,
a. generate the stress-strain curve for aluminum
b. Indicate the following points in the stress-strain curve for aluminum and give the corresponding values:
limit of proportionality
elastic limit
0.2% offset yield stress (include the graph illustrating how this was determined)
ultimate stress
fracture stress
c. Calculate modulus of elasticity.
d. compare aluminum with nylon (include the related graph) and answer the following:
Which has higher tensile strength? Provide the necessary values to support the answer.
Which is stiffer? Support your answer with calculations.
2. Another cylindrical component is madeof Enfennering ceramic Al203
but with different
dimensions. Here, l=30 cm and the diameter is 4 cm. Assume the same Weibull modulus of 9.
Calculate the level of the tensile strength for the following probability of failures:
a. Pr (V) = 0.1
b. Pr (Vo) = 0.01
c. What is the survival probability and the failure probability of this component if a stress of
200 MPa is applied?
Chapter 7 Solutions
The Science and Engineering of Materials (MindTap Course List)
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