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 = 100 GPa] with a cross-sectional area of A1 = 270 mm2. Bar (2) is an aluminum alloy [E = 73 GPa] with a cross-sectional area of A2 = 630 mm2. All bars are unstressed before the load P is applied; however, there is a 4-mm clearance in the pin connection at A. Assume L1 = 1890 mm, a = 870 mm, b = 540 mm, c = 410 mm, and L2 = 1450 mm. If a load of P = 127 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. 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 =100 GPa] with a cross-sectional area of A₁ = 270 mm². Bar (2) is an aluminum alloy [E = 73 GPa] with a cross-sectional area of A₂ = 630mm². All bars are unstressed before the load P is applied; however, there is a 4-mm clearance in the pin connection at A. Assume L₁ =1890 mm, a = 870 mm, b = 540 mm, c = 410 mm, and L₂ = 1450 mm. If a load of P = 127 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)L₁bAnswers:(a) σ₁ =0₂ =(b) VA=iiPCCMPaMPamm(2)DL2

(a) Draw a free-body diagram of the beam.

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 = 100 GPa] with a cross-sectional area of A₁ = 270 mm². Bar (2) is an aluminum alloy [E = 73 GPa] with a cross-sectional area of A₂ = 630 mm². All bars are unstressed before the load P is applied; however, there is a 4-mm clearance in the pin connection at A. Assume L₁ = 1890 mm, a = 870 mm, b = 540 mm, c = 410 mm, and L₂ = 1450 mm. If a load of P = 127 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 a B Answers: (a) σ₁ = 0₂ = (b) VA= i i i MPa MPa mm (2) D L2

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 = 100 GPa] with a cross-sectional area of A₁ = 270 mm². Bar (2) is an aluminum alloy [E = 73 GPa] with a cross-sectional area of A₂ = 630 mm². All bars are unstressed before the load P is applied; however, there is a 4-mm clearance in the pin connection at A. Assume L₁ = 1890 mm, a = 870 mm, b = 540 mm, c = 410 mm, and L₂ = 1450 mm. If a load of P = 127 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 a B Answers: (a) σ₁ = 0₂ = (b) VA= i i i MPa MPa mm (2) D L2

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.12.9P: The structure shown in the figure consists of a horizontal rigid bar ABCD supported by two steel...

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