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 = 102 GPa] with a cross-sectional area of A₁ = 200 mm2. Bar (2) is an aluminum alloy [E = 72 GPa] with a cross-sectional area of A2 = 640 mm². All bars are unstressed before the load P is applied; however, there is a 2-mm clearance in the pin connection at A. Assume L₁ = 1880 mm, a = 1060 mm, b = 620 mm, c = 480 mm, and L₂ = 1270 mm. If a load of P = 71 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. (1) L₁ b tc (2) D L2

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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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 =
102 GPa] with a cross-sectional area of A₁ = 200 mm². Bar (2) is an aluminum alloy [E = 72 GPa] with a cross-sectional area of A₂ = 640
mm². All bars are unstressed before the load P is applied; however, there is a 2-mm clearance in the pin connection at A. Assume L₁ =
1880 mm, a = 1060 mm, b = 620 mm, c = 480 mm, and L₂ = 1270 mm. If a load of P = 71 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.
(1)
L₁
b
tc
B
(2)
D
L2
Transcribed Image Text: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 = 102 GPa] with a cross-sectional area of A₁ = 200 mm². Bar (2) is an aluminum alloy [E = 72 GPa] with a cross-sectional area of A₂ = 640 mm². All bars are unstressed before the load P is applied; however, there is a 2-mm clearance in the pin connection at A. Assume L₁ = 1880 mm, a = 1060 mm, b = 620 mm, c = 480 mm, and L₂ = 1270 mm. If a load of P = 71 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. (1) L₁ b tc B (2) D L2
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