The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 65 GPa] with a cross-sectional area of A₁ = 850 mm². Bar (2) is a bronze alloy [E = 100 GPa] with a cross-sectional area of A₂ = 540 mm². Assume L₁=1.9 m, L2=2.2 m, a=0.5 m, b=1.6 m, and c=1.3 m. All bars are unstressed before the load P is applied; however, there is a 1.6-mm clearance in the pin connection at A. If a load of P = 55 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) E₁ = (C) VA = i i i L₁ B b Ⓡ L2 MPa, 0₁ με, εξ = i mm. = MPa. με.
The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 65 GPa] with a cross-sectional area of A₁ = 850 mm². Bar (2) is a bronze alloy [E = 100 GPa] with a cross-sectional area of A₂ = 540 mm². Assume L₁=1.9 m, L2=2.2 m, a=0.5 m, b=1.6 m, and c=1.3 m. All bars are unstressed before the load P is applied; however, there is a 1.6-mm clearance in the pin connection at A. If a load of P = 55 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) E₁ = (C) VA = i i i L₁ B b Ⓡ L2 MPa, 0₁ με, εξ = i mm. = 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 = 65GPa] with a cross-sectional area of A_{1} = 850m * m ^ 2 Bar (2) is a bronze alloy [E = 100GPa] with a cross-sectional area of A_{2} = 540m * m ^ 2 Assume L_{1} = 1.9m L_{2} = 2.2m , a = 0.5m b = 1.6n , and c = 1.3 m. All bars are unstressed before the load P is applied; however, there is a 1.6-mm clearance in the pin connection at A. If a load of P = 55 KN is applied at B, determine: (a) the normal stresses Oj, 62, in both bars (1) and (2). (b) the normal strains E1, 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 = 65 GPa] with a
cross-sectional area of A₁ = 850 mm². Bar (2) is a bronze alloy [E = 100 GPa] with a cross-sectional area of A₂ = 540 mm². Assume
L₁=1.9 m, L2=2.2 m, a=0.5 m, b=1.6 m, and c=1.3 m. All bars are unstressed before the load P is applied; however, there is a 1.6-mm
clearance in the pin connection at A. If a load of P = 55 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
Ⓡ
L2
mm.
C
MPa, σ₁
με, εξ = i
=
MPa.
με.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2e278534-5b07-4ede-a8a8-d57e619d3328%2F6d32ae2a-33b1-4b81-96c1-a9c51e393f9b%2Fqg3ylem_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 = 65 GPa] with a
cross-sectional area of A₁ = 850 mm². Bar (2) is a bronze alloy [E = 100 GPa] with a cross-sectional area of A₂ = 540 mm². Assume
L₁=1.9 m, L2=2.2 m, a=0.5 m, b=1.6 m, and c=1.3 m. All bars are unstressed before the load P is applied; however, there is a 1.6-mm
clearance in the pin connection at A. If a load of P = 55 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
Ⓡ
L2
mm.
C
MPa, σ₁
με, εξ = i
=
MPa.
με.
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