The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 60 GPa] with a cross-sectional area of A₁ = 870 mm². Bar (2) is a bronze alloy [E = 92 GPa] with a cross-sectional area of A₂ = 520 mm². Assume L₁=2.6 m, L₂=2.9 m, a=0.7 m, b=1.3 m, and c=1.1 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 = 58 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 L₁ B b C L2 C D
The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 60 GPa] with a cross-sectional area of A₁ = 870 mm². Bar (2) is a bronze alloy [E = 92 GPa] with a cross-sectional area of A₂ = 520 mm². Assume L₁=2.6 m, L₂=2.9 m, a=0.7 m, b=1.3 m, and c=1.1 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 = 58 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 L₁ B b C L2 C D
Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter6: Introduction To Mechanical Properties
Section: Chapter Questions
Problem 8ETSQ
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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 = 60 GPa] with a
cross-sectional area of A1 = 870 mm?. Bar (2) is a bronze alloy [E = 92 GPa] with a cross-sectional area of Ay = 520 mm?. Assume L$=2.6
m, La=2.9 m, a=0.7 m, b= 1.3 m, and c= 1.1 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= 58 kN is applied at B, determine:
(a) the normal stresses 01, 02, in both bars (1) and (2).
(b) the normal strains € , E2, in bars (1) and (2).
(c) determine the downward deflection vA of point A on the rigid bar.
![The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 60 GPa] with a
cross-sectional area of A₁ = 870 mm². Bar (2) is a bronze alloy [E = 92 GPa] with a cross-sectional area of A₂ = 520 mm². Assume L₁=2.6
m, L2=2.9 m, a=0.7 m, b=1.3 m, and c-1.1 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 = 58 kN is applied at B, determine:
(a) the normal stresses 0₁, 02, in both bars (1) and (2).
(b) the normal strains &1, E2, in bars (1) and (2).
(c) determine the downward deflection VA of point A on the rigid bar.
(1)
a
L₁
B
P
b
(2)
C
L2
с
D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43cfdb60-e0ae-413e-8e1b-8e7e2ffb6b67%2F8c6d2576-0c20-4f7b-8c2c-7b2067d34108%2Ficx95s_processed.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 = 60 GPa] with a
cross-sectional area of A₁ = 870 mm². Bar (2) is a bronze alloy [E = 92 GPa] with a cross-sectional area of A₂ = 520 mm². Assume L₁=2.6
m, L2=2.9 m, a=0.7 m, b=1.3 m, and c-1.1 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 = 58 kN is applied at B, determine:
(a) the normal stresses 0₁, 02, in both bars (1) and (2).
(b) the normal strains &1, E2, in bars (1) and (2).
(c) determine the downward deflection VA of point A on the rigid bar.
(1)
a
L₁
B
P
b
(2)
C
L2
с
D
Transcribed Image Text:Answers:
(a) σ₁
(b) E₁ = i
(C) VA= i
=
i
MPa, σ₁ =
με, εξ =
mm.
MI
MPa.
με.
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