A composite bar is comprised of a concentric circular rod of copper and a tube of aluminum, each of length 500 mm, that are attached rigidly to above one another at both ends. The diameter of the copper rod is 30 mm, while the inner and outer diameters of the aluminum rod are 50 and 60 mm, respectively. The Young's modulus and coefficient of thermal expansion for copper and aluminum are given as, 120 GPa and 80 GPa, and 0.000017/degrees Celsius and 0.000023/degrees Celsius. 2.1)Calculate the magnitude of the stresses that are induced in the copper bar and aluminum rod if the composite bar is exposed to a temperature change of 50 degrees Celsius, and state their senses. 2.2)Calculate the elongation of the constituents of the composite bar.
A composite bar is comprised of a concentric circular rod of copper and a tube of aluminum, each of length 500 mm, that are attached rigidly to above one another at both ends. The diameter of the copper rod is 30 mm, while the inner and outer diameters of the aluminum rod are 50 and 60 mm, respectively. The Young's modulus and coefficient of thermal expansion for copper and aluminum are given as, 120 GPa and 80 GPa, and 0.000017/degrees Celsius and 0.000023/degrees Celsius. 2.1)Calculate the magnitude of the stresses that are induced in the copper bar and aluminum rod if the composite bar is exposed to a temperature change of 50 degrees Celsius, and state their senses. 2.2)Calculate the elongation of the constituents of the composite bar.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
A composite bar is comprised of a concentric circular rod of copper and a tube of aluminum, each of length 500 mm, that are attached rigidly to above one another at both ends. The diameter of the copper rod is 30 mm, while the inner and outer diameters of the aluminum rod are 50 and 60 mm, respectively. The Young's modulus and coefficient of thermal expansion for copper and aluminum are given as, 120 GPa and 80 GPa, and 0.000017/degrees Celsius and 0.000023/degrees Celsius.
2.1)Calculate the magnitude of the stresses that are induced in the copper bar and aluminum rod if the composite bar is exposed to a temperature change of 50 degrees Celsius, and state their senses.
2.2)Calculate the elongation of the constituents of the composite 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 4 steps with 5 images
Recommended textbooks for you
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY