Determine the change in length, width and thickness of steel bar which is 4m long, 30mm wide and 20mm thick and is subjected to an axial pull of 30 kN in the direction of length. Take E = 200 GPa and poison's ratio of 0.3. Also determine the volumetric strain and change in volume.

Determine the change in length, width and thickness of steel bar which is 4m long, 30mm wide and 20mm thick and is subjected to an axial pull of 30 kN in the direction of length. Take E = 200 GPa and poison's ratio of 0.3. Also determine the volumetric strain and change in volume.

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 7.6.15P

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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

Determine the change in length, width and thickness of steel bar which is 4m long, 30mm wide
and 20mm thick and is subjected to an axial pull of 30 kN in the direction of length. Take E = 200
GPa and poison's ratio of 0.3. Also determine the volumetric strain and change in volume.

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