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Materials Science and Engineering: An Introduction | 9th Edition | ISBN: 9781118324578 | Authors: William Callister
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For a brass alloy, the stress at which plastic deformation

Chapter 6, Problem 6.7

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QUESTION:

For a brass alloy, the stress at which plastic deformation begins is 345 MPa (50,000 psi), and the modulus of elasticity is 103 GPa (15.0 * 106 psi). (a) What is the maximum load that can be applied to a specimen with a cross-sectional area of 130 mm2 (0.2 in.2 ) without plastic deformation? (b) If the original specimen length is 76 mm (3.0 in.), what is the maximum length to which it can be stretched without causing plastic deformation?

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QUESTION:

For a brass alloy, the stress at which plastic deformation begins is 345 MPa (50,000 psi), and the modulus of elasticity is 103 GPa (15.0 * 106 psi). (a) What is the maximum load that can be applied to a specimen with a cross-sectional area of 130 mm2 (0.2 in.2 ) without plastic deformation? (b) If the original specimen length is 76 mm (3.0 in.), what is the maximum length to which it can be stretched without causing plastic deformation?

ANSWER:


a. The maximum load (F) that can be applied without plastic deformation is the product of the stress (?), the area (A), and the modulus of elasticity (E):

F = (?)(A)(E)

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