A composite rod is comprised of an EN8 steel shaft of length, diameter and Young’s modulus of 200 mm, 20 mm and 210 GPa, respectively, that is joined end to end to an aluminium shaft of length, diameter and Elastic modulus of 150 mm, 30 mm and 80 GPa, respectively. If the composite rod stores a strain energy of 20 Nm and deforms linear elastically, calculate: The stresses in each rod. The strain energy absorbed by each component shaft.

A composite rod is comprised of an EN8 steel shaft of length, diameter and Young’s modulus of 200 mm, 20 mm and 210 GPa, respectively, that is joined end to end to an aluminium shaft of length, diameter and Elastic modulus of 150 mm, 30 mm and 80 GPa, respectively. If the composite rod stores a strain energy of 20 Nm and deforms linear elastically, calculate: The stresses in each rod. The strain energy absorbed by each component shaft.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.2.5P: A steel wire- and an aluminum allay wire have equal lengths, and support equal loads P (see figure)....

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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.

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The strain energy absorbed by each component shaft.

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