8000 mm3 aluminium cube is stressed in 3 mutually perpendicular direction x,y and z. The stresses in these directions are σx = 50 kPa σy = 80 kPa σz = -100 kPa Determine the volumetric strain and change in volume. ν is 0.34 and E is 71 GPa

8000 mm3 aluminium cube is stressed in 3 mutually perpendicular direction x,y and z. The stresses in these directions are σx = 50 kPa σy = 80 kPa σz = -100 kPa Determine the volumetric strain and change in volume. ν is 0.34 and E is 71 GPa

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 7.6.13P: A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean...

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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

8000 mm3 aluminium cube is stressed in 3 mutually perpendicular direction x,y and z. The stresses
in these directions are
σx = 50 kPa
σy = 80 kPa
σz = -100 kPa
Determine the volumetric strain and change in volume. ν is 0.34 and E is 71 GPa

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