[Solved] A rectangular steel bar of size 100 mm × 25 mm ×

Concept:

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Volumetric strain:

It is defined as the ratio of change in volume to the initial volume of the body. It is equal to the sum of strain in all directions.

&#;v = &#;x + &#;y + &#;z  

It is also known as the ratio of change of volume to original volume.

\(\epsilon_v=\frac{\Delta V}{V}\)

Calculation:

Given:

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Volume = 100 mm × 25 mm × 20 mm, 

&#;x = 0., &#;y = 0., &#;z = 0.002

&#;v = &#;x + &#;y + &#;z  

&#;v = 0. + 0. + 0.002 = 0.011

\(\epsilon_v=\frac{\Delta V}{V}\)

\({\Delta V}=\epsilon_v{V}\)

\({\Delta V}=0.011\times{100\times25\times20}=550\;mm^3\)

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