The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 67 GPa] with a cross-sectional area of A₁ = 730 mm². Bar (2) is a bronze alloy [E = 106 GPa] with a cross-sectional area of A₂ = 400 mm². Assume L₁=3 m, L₂=3.4 m, a=0.5 m, b=2 m, and c-1.2 m. All bars are unstressed before the load P is applied; however, there is a 3.5-mm clearance in the pin connection at A. If a load of P = 36 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) L₁ B b (2) C L2 D
The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 67 GPa] with a cross-sectional area of A₁ = 730 mm². Bar (2) is a bronze alloy [E = 106 GPa] with a cross-sectional area of A₂ = 400 mm². Assume L₁=3 m, L₂=3.4 m, a=0.5 m, b=2 m, and c-1.2 m. All bars are unstressed before the load P is applied; however, there is a 3.5-mm clearance in the pin connection at A. If a load of P = 36 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) L₁ B b (2) C L2 D
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 = 67 GPa] with a
cross-sectional area of A₁ = 730 mm². Bar (2) is a bronze alloy [E = 106 GPa] with a cross-sectional area of A2 = 400 mm². Assume L₁=3
m, L₂=3.4 m, a=0.5 m, b=2 m, and c-1.2 m. All bars are unstressed before the load P is applied; however, there is a 3.5-mm clearance in
the pin connection at A. If a load of P = 36 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)
Answers:
(a) σ₁ =
(b) 1 =
(c) VA =
i
a
i
i
L₁
B
b
(2)
C
L2
MPa, ₁ =
με, εξ = i
mm.
i
D
MPa.
με.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F38238e24-86d8-49cc-88db-deb012ae0a0f%2F178cb420-3780-46a8-9943-9d61a038aba2%2Fy3v4soj.jpeg&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 = 67 GPa] with a
cross-sectional area of A₁ = 730 mm². Bar (2) is a bronze alloy [E = 106 GPa] with a cross-sectional area of A2 = 400 mm². Assume L₁=3
m, L₂=3.4 m, a=0.5 m, b=2 m, and c-1.2 m. All bars are unstressed before the load P is applied; however, there is a 3.5-mm clearance in
the pin connection at A. If a load of P = 36 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)
Answers:
(a) σ₁ =
(b) 1 =
(c) VA =
i
a
i
i
L₁
B
b
(2)
C
L2
MPa, ₁ =
με, εξ = i
mm.
i
D
MPa.
με.
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