(a)
The bulk modulus for the nylon.
(a)
Answer to Problem 7.6.8P
The bulk modulus of the nylon is
Explanation of Solution
Given information:
The normal stress of the nylon element along the
Explanation:
Write the expression for the bulk modulus.
Here, the bulk modulus is
Write the expression for the change in volume in terms of strains.
Here, the strain in the
Write the expression for the hydrostatic stress in terms of stresses.
Here,the stress along
Write the expression for strain in the
Here, the modulus of elasticity is
Write the expression for strain in the
Write the expression for strain in the
Calculation:
Substitute
Substitute
Solve the Equations (VII) and (VIII) for the value of
Substitute
Substitute
Substitute
Substitute
Substitute
Conclusion:
The bulk modulus of the nylon is
(b)
The modulus of elasticity.
The Poisson’s ratio.
(b)
Answer to Problem 7.6.8P
The modulus of elasticity is
The Poisson’s ratio is
Explanation of Solution
Given information:
The bulk modulus of the element is
Explanation:
Write the expression for the bulk modulus.
Calculation:
Substitute
Substitute
Substitute
Solve the Equations (X) and (XI) for the value of
Substitute
Conclusion:
The modulus of elasticity is
The Poisson’s ratio is
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Chapter 7 Solutions
Mechanics of Materials (MindTap Course List)
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- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning