The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 67 GPa] with a cross-sectional area of A₁ = 730 mm². Bar (2) is a bronze alloy [E = 106 GPa] with a cross-sectional area of A₂ = 400 mm². Assume L₁=3 m, L₂=3.4 m, a=0.5 m, b=2 m, and c-1.2 m. All bars are unstressed before the load P is applied; however, there is a 3.5-mm clearance in the pin connection at A. If a load of P = 36 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) L₁ B b (2) C L2 D

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
Thumbs Up will be given
The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 67 GPa] with a
cross-sectional area of A₁ = 730 mm². Bar (2) is a bronze alloy [E = 106 GPa] with a cross-sectional area of A2 = 400 mm². Assume L₁=3
m, L₂=3.4 m, a=0.5 m, b=2 m, and c-1.2 m. All bars are unstressed before the load P is applied; however, there is a 3.5-mm clearance in
the pin connection at A. If a load of P = 36 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
(2)
C
L2
MPa, ₁ =
με, εξ = i
mm.
i
D
MPa.
με.
Transcribed Image Text:The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 67 GPa] with a cross-sectional area of A₁ = 730 mm². Bar (2) is a bronze alloy [E = 106 GPa] with a cross-sectional area of A2 = 400 mm². Assume L₁=3 m, L₂=3.4 m, a=0.5 m, b=2 m, and c-1.2 m. All bars are unstressed before the load P is applied; however, there is a 3.5-mm clearance in the pin connection at A. If a load of P = 36 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 (2) C L2 MPa, ₁ = με, εξ = i mm. i D MPa. με.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Deformations
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning