Concept explainers
Rod AB is made of a steel for which the yield strength is σY = 450 MPa and E = 200 GPa; rod BC is made of an aluminum alloy for which σY = 280 MPa and E = 73 GPa. Determine the maximum strain energy that can be acquired by the composite rod ABC without causing any permanent deformations.
Fig. P11.123
Find the maximum strain energy that can be acquired by the composite rod ABC.
Answer to Problem 123RP
The maximum strain energy of the composite rod ABC is
Explanation of Solution
Given information:
The diameter of the composite rod AB is
The diameter of the composite rod BC is
The length of the rod AB is
The length of the rod BC is
The yield strength of the steel rod AB is
The modulus of elasticity of the steel rod is
The yield strength of the aluminum alloy BC is
The modulus of elasticity of the aluminum alloy is
Calculation:
Calculate the area of the rod (A) as shown below.
For the steel rod AB.
Substitute
For the aluminum alloy BC.
Substitute
Calculate the applied load
For the steel rod AB.
Substitute
For the aluminum alloy BC.
Substitute
Take the smaller value as the applied load,
Calculate the strain energy (U) as shown below.
Substitute
Therefore, the maximum strain energy of the composite rod ABC is
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Chapter 11 Solutions
Mechanics of Materials, 7th Edition