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 = 210 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= 1780 mm, a = 1010 mm, b = 570 mm, c = 440 mm, and L₂= 1250 mm. If a load of P = 69 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) L D Answers: (a) σ₁ = 02= (b) VA= In i i B C MPa MPa mm (2) 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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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 = 210 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=
1780 mm, a = 1010 mm, b = 570 mm, c = 440 mm, and L₂= 1250 mm. If a load of P = 69 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)
Li
a
D
B
Answers:
(a) σ₁ =
0₂ =
(b) VA=
i
Pak
i
C
MPa
MPa
mm
(2)
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 = 100 GPa] with a cross-sectional area of A₁ = 210 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= 1780 mm, a = 1010 mm, b = 570 mm, c = 440 mm, and L₂= 1250 mm. If a load of P = 69 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) Li a D B Answers: (a) σ₁ = 0₂ = (b) VA= i Pak i C MPa MPa mm (2) L2
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