A solid steel sphere (E = 210 GPa, n = 0.3)is subjected to hydrostatic pressure p such that itsvolume is reduced by 0.4%.(a) Calculate the pressure p.(b) Calculate the volume modulus of elasticity K forthe steel.(c) Calculate the strain energy U stored in thesphere if its diameter is d =150 mm.

A solid steel sphere (E = 210 GPa, n = 0.3)is subjected to hydrostatic pressure p such that itsvolume is reduced by 0.4%.(a) Calculate the pressure p.(b) Calculate the volume modulus of elasticity K forthe steel.(c) Calculate the strain energy U stored in thesphere if its diameter is d =150 mm.

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 7.6.14P: A solid steel sphere (E = 210 GPa, v = 0.3) is subjected to hydrostatic pressure p such that its...

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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 solid steel sphere (E = 210 GPa, n = 0.3)
is subjected to hydrostatic pressure p such that its
volume is reduced by 0.4%.
(a) Calculate the pressure p.
(b) Calculate the volume modulus of elasticity K for
the steel.
(c) Calculate the strain energy U stored in the
sphere if its diameter is d =150 mm.

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