The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 79 GPa] with a cross-sectional area of A₁ = 700 mm². Bar (2) is a bronze alloy [E = 106 GPa] with a cross-sectional area of A₂ = 480 mm². Assume L₁=1.8 m, L₂=2.1 m, a=0.5 m, b=1.6 m, and c=0.8 m. All bars are unstressed before the load P is applied; however, there is a 3.4-mm clearance in the pin connection at A. If a load of P = 53 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 B b (2) L2 MPa, σ₁ = με, €2 = i mm. 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 = 79 GPa] with a cross-sectional area of A₁ = 700 mm². Bar (2) is a bronze alloy [E = 106 GPa] with a cross-sectional area of A₂ = 480 mm². Assume L₁=1.8 m, L₂=2.1 m, a=0.5 m, b=1.6 m, and c=0.8 m. All bars are unstressed before the load P is applied; however, there is a 3.4-mm clearance in the pin connection at A. If a load of P = 53 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 B b (2) L2 MPa, σ₁ = με, €2 = i mm. i D MPa. με.
Related questions
Question
![The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 79 GPa] with a
cross-sectional area of A₁ = 700 mm². Bar (2) is a bronze alloy [E = 106 GPa] with a cross-sectional area of A₂ = 480 mm². Assume
L₁=1.8 m, L₂=2.1 m, a=0.5 m, b=1.6 m, and c=0.8 m. All bars are unstressed before the load P is applied; however, there is a 3.4-mm
clearance in the pin connection at A. If a load of P = 53 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
a
L₁
B
b
(2)
L2
MPa, 0₁ =
με, €2 =
mm.
i
i
D
MPa.
με.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fccbd1eaf-12b9-43d8-b144-45e11ceb0dd3%2Fc13c9241-4add-4550-bcc1-96f76cb12962%2Fao687ea_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 = 79 GPa] with a
cross-sectional area of A₁ = 700 mm². Bar (2) is a bronze alloy [E = 106 GPa] with a cross-sectional area of A₂ = 480 mm². Assume
L₁=1.8 m, L₂=2.1 m, a=0.5 m, b=1.6 m, and c=0.8 m. All bars are unstressed before the load P is applied; however, there is a 3.4-mm
clearance in the pin connection at A. If a load of P = 53 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
a
L₁
B
b
(2)
L2
MPa, 0₁ =
με, €2 =
mm.
i
i
D
MPa.
με.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.