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Homework Solution

# Homework Solution - MechEng 382 Winter 2010 2009 Homework#1...

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MechEng 382 Winter 2009 Homework #1 Solutions 1. Below is a true stress versus true strain curve from an ME395 lab, in which a tensile test is conducted on an annealed sample of brass. What is the yield strength for this brass after it has been work-hardened to a true strain of 10%? Plot the engineering (nominal) stress-strain curve for this work-hardened brass. (You may neglect the small effects of elastic deformation in your answer.) Solution The yield strength of the work-hardened brass sample σ wh Y is simply the true stress from the point of work hardening from the true stress-strain curve of the annealed brass. From the given plot of ˜ σ (˜), σ wh Y = ˜ σ wh Y = ˜ σ (˜ = 0 . 1) 390 MPa . 1 2010

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MechEng 382 Winter 2009 Homework #1 Solutions Neglecting elastic deformation, the work-hardened material begins at the new yield stress (390 MPa) and then follows the original true stress-strain curve. From this curve, the nominal stress and strain are obtained by = exp ˜ 1 , σ = ˜ σ 1 + The two curves (original annealed and work-hardened) are shown in Fig. 1 . 0
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