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.

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)