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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 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