Current Atte The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 62 GPa] with a cross-sectional area of A₁ = 780 mm². Bar (2) is a bronze alloy [E = 92 GPa] with a cross-sectional area of A₂ = 520 mm². Assume L₁=2.2 m, L₂=2.5 m, a=0.7 m, b=1.7 m, and c=0.9 m. All bars are unstressed before the load P is applied; however, there is a 3.9-mm clearance in the pin connection at A. If a load of P = 35 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) a₁ = (b) ₁ = (c) VA = i L₁ i i B P b (2) με, €2 = L2 MPa, 0₁ = mm. C i i D MPa. με.
Current Atte The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 62 GPa] with a cross-sectional area of A₁ = 780 mm². Bar (2) is a bronze alloy [E = 92 GPa] with a cross-sectional area of A₂ = 520 mm². Assume L₁=2.2 m, L₂=2.5 m, a=0.7 m, b=1.7 m, and c=0.9 m. All bars are unstressed before the load P is applied; however, there is a 3.9-mm clearance in the pin connection at A. If a load of P = 35 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) a₁ = (b) ₁ = (c) VA = i L₁ i i B P b (2) με, €2 = L2 MPa, 0₁ = mm. C i i D MPa. με.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![Current Att
The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 62 GPa] with a
cross-sectional area of A₁ = 780 mm². Bar (2) is a bronze alloy [E = 92 GPa] with a cross-sectional area of A₂ = 520 mm². Assume L₁=2.2
m, L₂=2.5 m, a=0.7 m, b=1.7 m, and c=0.9 m. All bars are unstressed before the load P is applied; however, there is a 3.9-mm clearance
in the pin connection at A. If a load of P = 35 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 = i
L₁
i
i
B
P
b
(2)
με, €2 =
L2
MPa, 0₁ =
mm.
C
i
i
D
MPa.
με.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F309aef7f-b816-43d1-8ee7-5928775699ab%2Fbebd3a73-522b-4567-b2bd-04aa1805ee6d%2Fptzxk1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Current Att
The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 62 GPa] with a
cross-sectional area of A₁ = 780 mm². Bar (2) is a bronze alloy [E = 92 GPa] with a cross-sectional area of A₂ = 520 mm². Assume L₁=2.2
m, L₂=2.5 m, a=0.7 m, b=1.7 m, and c=0.9 m. All bars are unstressed before the load P is applied; however, there is a 3.9-mm clearance
in the pin connection at A. If a load of P = 35 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 = i
L₁
i
i
B
P
b
(2)
με, €2 =
L2
MPa, 0₁ =
mm.
C
i
i
D
MPa.
με.
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