A compound steel (E = 30,000 ksi) bar is subjected to the loads shown. Bar (1) has a cross-sectional area of A₁ = 0.25 in.² and a length of L₁ = 130 in. Bar (2) has an area of A₂ = 0.25 in.² and a length of L₂ = 120 in. Bar (3) has an area of A3 = 0.11 in.² and a length of L3 = 35 in. The loads and angles are P = 23 kips, a = 32°, Q=17 kips, B = 58°, and R = 7 kips. Determine the vertical deflection of end A. A downwards deflection is positive, while an upwards deflection is negative. D (1) L₁ Answer: ŌA = i B A (2) (3) R U a В P L2 L3 in.

The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E = 95 GPa] with a cross-sectional area of A1 = 260 mm2. Bar (2) is an aluminum alloy [E = 69 GPa] with a cross-sectional area of A2 = 690 mm2. All bars are unstressed before the load P is applied; however, there is a 3-mm clearance in the pin connection at A. Assume L1 = 2000 mm, a = 1080 mm, b = 610 mm, c = 460 mm, and L2 = 1380 mm. If a load of P = 100 kN is applied at B, determine(a) the normal stresses in both bars (1) and (2).(b) the downward deflection of point A on the rigid bar.