# Strain is defined as the ratio of?

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Updated on: October 17th, 2023

1. change in volume to original volume.
2. change in length to original length.
3. change in lateral dimension to original lateral dimension.
4. All of the above

Strain is defined as the ratio of change in volume to original volume, change in length to the original length, and change in lateral dimension to original lateral dimension. The strain is defined as the ratio of change in dimension to the original dimension.

Strain = change in dimension / original dimension

### Types of Strain

1. Longitudinal strain
2. Volumetric strain
3. Shear strain

A change in an object’s volume (dV) will occur if stress is applied to it from all or some sides, and if the object’s original volume was V, then strain would be said to have occurred.

volumetric strain = δv/v.

volumetric strain = change in volume / original volume

The above figure

• Longitudinal strain is defined as (a change in length / original length) when we take the strain in that direction.
• Latitudinally oriented strain is defined as (a change in diameter / original diameter) when it is applied.
• The ratio of the change in length perpendicular to the member’s axes owing to shear stress to its initial length is the shear strain.

Summary:

## Strain is defined as the ratio of – (a)change in volume to original volume (b)change in length to original length (c)change in lateral dimension to original lateral dimension (d)All of the above

In terms of volume, length, and lateral dimension, strain is the ratio of the changed volume to the original volume, length, and lateral dimension.

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