Chapter 10.2, Problem 42P

For the bar of Prob. 10.41, determine the required distance d for which the bar will just make contact with point C when the temperature increases by 120 °F.

10.41 The steel bar AB has a $\frac{3}{8}\times \frac{3}{8}$-in. square cross section and is held by pins that are a fixed distance apart and are located at a distance e = 0.03 in. from the geometric axis of the bar. Knowing that at temperature T₀ the pins are in contact with the bar and that the force in the bar is zero, determine the increase in temperature for which the bar will just make contact with point C if d = 0.01 in. Use E = 29 3 106 psi and a coefficient of thermal expansion α = 6.5 × 10^–6/°F.

Fig. P10.41