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Unformatted text preview: CHAPTER 6 MECHANICAL PROPERTIES OF METALS PROBLEM SOLUTIONS 6.9 This problem asks that we calculate the elongation l of a specimen of steel the stress-strain behavior of which is shown in Figure 6.24. First it becomes necessary to compute the stress when a load of 65,250 N is applied as = F A o = F d o 2 2 = 65, 250 N 8.5 x 10- 3 m 2 2 = 1150 MPa (170,000 psi) Referring to Figure 6.24, at this stress level we are in the elastic region on the stress-strain curve, which corresponds to a strain of 0.0054. Now, utilization of Equation (6.2) yields l = l o = (0.0054)(80 mm) = 0.43 mm (0.017 in.) 6.16 This problem asks that we compute Poisson's ratio for the metal alloy. From Equations (6.5) and (6.1) z = E = F / A o E = F d o 2 2 E = 4 F d o 2 E Since the transverse strain x is just x = d d o and Poisson's ratio is defined by Equation (6.8) then 113 = - x z =-...
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