The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 74 GPa] with a cross-sectional area of A₁ = 820 mm². Bar (2) is a bronze alloy [E = 117 GPa] with a cross-sectional area of A₂ = 420 mm². Assume L₁=1.9 m, L₂=2.5 m, a=0.7 m, b=1.9 m, and c=1.3 m. All bars are unstressed before the load P is applied; however, there is a 1.4-mm clearance in the pin connection at A. If a load of P = 34 KN is applied at B, determine: (a) the normal stresses 0₁, 02, in both bars (1) and (2). (b) the normal strains &1, 2, in bars (1) and (2). (c) determine the downward deflection VA of point A on the rigid bar. (1) A Answers: (a) σ₁ = (b) ₁: (c) VA = = tel i L₁ B b L2 mm. C MPa, σ₁ = με, εξ = i i D MPa. με.
The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 74 GPa] with a cross-sectional area of A₁ = 820 mm². Bar (2) is a bronze alloy [E = 117 GPa] with a cross-sectional area of A₂ = 420 mm². Assume L₁=1.9 m, L₂=2.5 m, a=0.7 m, b=1.9 m, and c=1.3 m. All bars are unstressed before the load P is applied; however, there is a 1.4-mm clearance in the pin connection at A. If a load of P = 34 KN is applied at B, determine: (a) the normal stresses 0₁, 02, in both bars (1) and (2). (b) the normal strains &1, 2, in bars (1) and (2). (c) determine the downward deflection VA of point A on the rigid bar. (1) A Answers: (a) σ₁ = (b) ₁: (c) VA = = tel i L₁ B b L2 mm. C MPa, σ₁ = με, εξ = i i D MPa. με.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 74 GPa] with a
cross-sectional area of A₁ = 820 mm². Bar (2) is a bronze alloy [E = 117 GPa] with a cross-sectional area of A₂ = 420 mm². Assume
L₁=1.9 m, L₂=2.5 m, a=0.7 m, b=1.9 m, and c=1.3 m. All bars are unstressed before the load P is applied; however, there is a 1.4-mm
clearance in the pin connection at A. If a load of P = 34 KN is applied at B, determine:
(a) the normal stresses 0₁, 02, in both bars (1) and (2).
(b) the normal strains &1, 2, in bars (1) and (2).
(c) determine the downward deflection VA of point A on the rigid bar.
(1)
A
Answers:
(a) σ₁ =
(b) ₁:
(c) VA =
=
tel
i
L₁
B
b
L2
mm.
C
MPa, σ₁ =
με, εξ = i
i
D
MPa.
με.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa15af0df-8f71-46e4-b3b7-c68e8016aa6c%2Fbddc733e-fa18-4b67-8844-ada876ac09e8%2F0mj0t3d_processed.png&w=3840&q=75)
Transcribed Image Text:The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 74 GPa] with a
cross-sectional area of A₁ = 820 mm². Bar (2) is a bronze alloy [E = 117 GPa] with a cross-sectional area of A₂ = 420 mm². Assume
L₁=1.9 m, L₂=2.5 m, a=0.7 m, b=1.9 m, and c=1.3 m. All bars are unstressed before the load P is applied; however, there is a 1.4-mm
clearance in the pin connection at A. If a load of P = 34 KN is applied at B, determine:
(a) the normal stresses 0₁, 02, in both bars (1) and (2).
(b) the normal strains &1, 2, in bars (1) and (2).
(c) determine the downward deflection VA of point A on the rigid bar.
(1)
A
Answers:
(a) σ₁ =
(b) ₁:
(c) VA =
=
tel
i
L₁
B
b
L2
mm.
C
MPa, σ₁ =
με, εξ = i
i
D
MPa.
με.
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