(a) A 0.4-in.-diameter, 12-in.-long titanium bar has a yield strength of 50,000 psi, a modulus of elasticity of 16 X 10⁶ psi, and a Poisson’s ratio of 0.30. Determine the length and diameter of the bar when a 500-lb load is applied.
(b) When a tensile load is applied to a 1.5-cm-diameter copper bar, the diameter is reduced to a 1.498-cm diameter. Determine the applied load, using the data in Table 6-3.

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Table 6-3 Elastic properties and melting temperature (Tm) of selected materials Material Tm (°C) E (psi) Poisson's ratio (v) 327 2.0 x 106 650 6.5 x 106 660 10.0 X 106 1085 18.1 x 106 1538 30.0 x 106 3410 59.2 x 106 2020 55.0 x 106 44.0 x 106 Pb Mg Al Cu Fe W Al2O3 SigN4 0.45 0.29 0.33 0.36 0.27 0.28 0.26 0.24