Rigid bar ABC is supported by two identical solid bronze [E = 111 GPa, a = 15.3 x 10-6/°C] rods, and a solid steel [E = 219 GPa, a = 11.9 × 10-6/°C] rod. The bronze rods (1) each have a diameter of 19 mm and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 18 mm. The bars are unstressed when the structure is assemble at 33°C. Assume L = 0.42 m. When the temperature decreases to -23°C, determine: (a) the normal stresses in the bronze and steel rods 0₁, 0₂ (positive if tensile, negative if compressive). (b) the normal strains in the bronze and steel rods ₁, 2 (positive if stretched, negative if shortened). (1) Answers: 0₁ = E₁ = i Mi B (1) L MPa, 0₂ = με, Ε = Mi MI με. MPa.

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
Rigid bar ABC is supported by two identical solid bronze [E = 111 GPa, a = 15.3 x 10-6/°C] rods, and a solid steel [E = 219 GPa,
α = 11.9 × 10-6/°C] rod. The bronze rods (1) each have a diameter of 19 mm and they are symmetrically positioned relative to the
center rod (2) and the applied load P. Steel rod (2) has a diameter of 18 mm. The bars are unstressed when the structure is assembled
at 33°C. Assume L = 0.42 m. When the temperature
decreases to -23°C, determine:
(a) the normal stresses in the bronze and steel rods 6₁, 6₂ (positive if tensile, negative if compressive).
(b) the normal strains in the bronze and steel rods ₁, 2 (positive if stretched, negative if shortened).
(1)
Answers:
σ₁ =
E₁ =
i
M.
(2)
B
(1)
L
MPa, 0₂ = i
με, ἔγ = i
MPa.
με.
Transcribed Image Text:Rigid bar ABC is supported by two identical solid bronze [E = 111 GPa, a = 15.3 x 10-6/°C] rods, and a solid steel [E = 219 GPa, α = 11.9 × 10-6/°C] rod. The bronze rods (1) each have a diameter of 19 mm and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 18 mm. The bars are unstressed when the structure is assembled at 33°C. Assume L = 0.42 m. When the temperature decreases to -23°C, determine: (a) the normal stresses in the bronze and steel rods 6₁, 6₂ (positive if tensile, negative if compressive). (b) the normal strains in the bronze and steel rods ₁, 2 (positive if stretched, negative if shortened). (1) Answers: σ₁ = E₁ = i M. (2) B (1) L MPa, 0₂ = i με, ἔγ = i MPa. με.
Expert Solution
steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Knowledge Booster
Matrix algebra for structural analysis
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