Consider the brass alloy for which the stress-strain behavior is shown in Figure 6.12. A cylindrical specimen of this material 6 mm (0.24 in.) in diameter and 50 mm (2 in.) long is pulled in tension with a force of 5000 N (1125lbf). If it is known that this alloy has a Poisson's ratio of 0.30, compute:

(a) The specimen elongation, and

(b) The reduction in specimen diameter.

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500 70 Tensile strength 450 MPa (65,000 psi) 60 400 50 10° psi MPa 40 300 40 30 200 Yield strength 30 250 MPa (36,000 psi) 200 20 100 20 10 100 10 OL O 0.005 0.10 0.20 0.30 0.40 Strain Stess (MPa) Stress (10° psi)