The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 73 GPa] with a cross-sectional area of $A_1$ = 850 mm$^2$. Bar (2) is a bronze alloy [E = 99 GPa] with a cross-sectional area of $A_2$ = 540 mm$^2$. Assume $L_1$=1.7 m, $L_2$=2.0 m, a=0.6 m, b=2 m, and c=0.8 m. All bars are unstressed before the load P is applied; however, there is a 7.3-mm clearance in the pin connection at A. If a load of P = 59 kN is applied at B, determine:
(a) the normal stresses $\sigma_1$, $\sigma_2$, in both bars (1) and (2).
(b) the normal strains $\epsilon_1$, $\epsilon_2$, in bars (1) and (2).
(c) determine the downward deflection $v_A$ of point A on the rigid bar.
