Formula for volumetric strain in strength of materials: ε_v = ΔV / V, where ε_v represents volumetric strain, ΔV represents the change in volume, and V represents the original volume.

This formula is used to calculate the volumetric strain, which is a measure of the change in volume of a material under stress. It is commonly used in the field of strength of materials to analyze the deformation of materials under load. The formula is derived from the definition of strain, which is the ratio of the change in dimension to the original dimension.

To use this formula, you need to measure the change in volume (ΔV) and the original volume (V) of the material. Then, simply divide the change in volume by the original volume to calculate the volumetric strain. The result will be a dimensionless quantity that represents the fractional change in volume of the material.

It is important to note that volumetric strain is a scalar quantity, meaning it does not have a direction associated with it. It is simply a measure of how much the volume of a material has changed under stress.

The formula for volumetric strain in strength of materials is:

ε_v = ΔV / V

where:

ε_v represents the volumetric strain.
ΔV represents the change in volume.
V represents the original volume.