A rod is 2 m long at a temperature of 10 °C. Find the expansion of the rod, when the temperature is raised to 80 °C. If this expansion is prevented, find the stress induced in the material of the rod. Take E=100 GPa, and, α = 0.000012/°C.

A rod is 2 m long at a temperature of 10 °C. Find the expansion of the rod, when the temperature is raised to 80 °C. If this expansion is prevented, find the stress induced in the material of the rod. Take E=100 GPa, and, α = 0.000012/°C.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.6.6P: Solve the preceding problem if the cube is granite (E = 80 GPa, v = 0.25) with dimensions E = 89 mm...

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Concept explainers

Strain energy

The term strain indicates the variation in an object's length, area, and volume when the object is subjected to an external force. The external force may be of normal, shear, moment, torque, etc. The strain in an object depends on the types of external force and cross-section of the object. Mathematically, the evaluation of strain can be obtained with the help of elastic constants.

Question

A rod is 2 m long at a temperature of 10 °C. Find the expansion of the rod, when the
temperature is raised to 80 °C. If this expansion is prevented, find the stress induced in the
material of the rod. Take E=100 GPa, and, α = 0.000012/°C.

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