The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 69 GPa) with a cross-sectional area of A₁ = 830 mm². Bar (2) is a bronze alloy [E = 119 GPa] with a cross-sectional area of A₂ = 430 mm². Assume L₁=2.6 m, L₂=3.2 m, a=0.8 m, b=1.1 m, and c-1.2 m. All bars are unstressed before the load P is applied; however, there is a 2.1-mm clearance in the pin connection at A. If a load of P = 57 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) G₁ = (b) ₁ (C) VA = i = i P L B b (2) C L2 MPa, σ₁ = με, εν Ξ = mm. i 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 = 69 GPa) with a cross-sectional area of A₁ = 830 mm². Bar (2) is a bronze alloy [E = 119 GPa] with a cross-sectional area of A₂ = 430 mm². Assume L₁=2.6 m, L₂=3.2 m, a=0.8 m, b=1.1 m, and c-1.2 m. All bars are unstressed before the load P is applied; however, there is a 2.1-mm clearance in the pin connection at A. If a load of P = 57 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) G₁ = (b) ₁ (C) VA = i = i P L B b (2) C L2 MPa, σ₁ = με, εν Ξ = mm. i i D MPa. με.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 69 GPa] with a
cross-sectional area of A₁ = 830 mm². Bar (2) is a bronze alloy [E = 119 GPa] with a cross-sectional area of A₂ = 430 mm². Assume
L₁=2.6 m, L₂=3.2 m, a=0.8 m, b=1.1 m, and c=1.2 m. All bars are unstressed before the load P is applied; however, there is a 2.1-mm
clearance in the pin connection at A. If a load of P = 57 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.
Answers:
(a) σ₁ =
(b) &₁ = i
(C) VA =
Mi
i
L₁
B
P
b
C
L2
MPa, o₁ =
με, €z = i
mm.
i
D
MPa.
με.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc038ee9a-89e1-4da7-b262-41d8f1d18237%2F8816a9a8-39ad-4500-950c-f07c347c0ef2%2Fgz1zong_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 = 69 GPa] with a
cross-sectional area of A₁ = 830 mm². Bar (2) is a bronze alloy [E = 119 GPa] with a cross-sectional area of A₂ = 430 mm². Assume
L₁=2.6 m, L₂=3.2 m, a=0.8 m, b=1.1 m, and c=1.2 m. All bars are unstressed before the load P is applied; however, there is a 2.1-mm
clearance in the pin connection at A. If a load of P = 57 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.
Answers:
(a) σ₁ =
(b) &₁ = i
(C) VA =
Mi
i
L₁
B
P
b
C
L2
MPa, o₁ =
με, €z = i
mm.
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 5 steps with 5 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.Recommended textbooks for you
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning