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. The elongation of the composite rod.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.6.7P: A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The...
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Question 2: [Strain Energy]
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.
The elongation of the composite rod.
The impact load (F) required to induce this strain given the strain energy stored by the
composite shaft, if it falls freely through a height (h) of 150 mm.
Transcribed Image Text:Question 2: [Strain Energy] 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. The elongation of the composite rod. The impact load (F) required to induce this strain given the strain energy stored by the composite shaft, if it falls freely through a height (h) of 150 mm.
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