(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 ×106psi, 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 1.498-cm diameter. Determine the applied load, using the data in Table 6-3.
TABLE 6-3 ¦Elastic properties and melting temperature (Tm) of selected materials
Material
Tm (°C)
E (psi)
Poisson’s ratio (θ)
Pb
327
2.0 × 106
0.45
Mg
650
6.5 × 106
0.29
Al
660
10.0 × 106
0.33
Cu
1085
18.1 × 106
0.36
Fe
1538
30.0 × 106
0.27
W
3410
59.2 × 106
0.28
Al2O3
2020
55.0 × 106
0.26
Si3N4
44.0 × 106
0.24