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Define strain. What is the unit of strain in S.I.? What is (i) longitudinal strain (ii) volume strain (iii) shear strain?

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Strain:-

The ratio of the change in configuration (i.e., shape, length or volume) to the original configuration of the body is called strain. i.e.,

Strain = Change in configuration/Original configuration

It has no unit.

Types of strain:- There are three types of strain:

(i) Longitudinal strain:-

This type of strain is produced when the deforming force causes a change in the length of a body. It is defined as the ratio of the change in length to the original length of the body.

Consider a wire of length L. When the wire is stretched by a force. F then let the change in length of the wire is ΔL (Fig).

Longitudinal strain = Change in length/Original length

or, Longitudinal strain = ΔL/L

(ii) Volume strain:-

This type of strain is produced when the deforming force produces a change in volume of the body (Fig). It is defined as the ratio of the change in volume to the original volume of the body.

If ΔV = change in volume

V = original volume

Volume strain  = ΔV/V

-ve sign shows that volume decreases when pressure (i.e., force/area) increases.

(iii) Shear strain:-

This type of strain is produced when the deforming force causes a change in the shape of the body. It is defined as the angle (θ) through which a face originally perpendicular to the fixed face is turned on which a tangential force is applied. (Fig).

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