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What is the Dimensional Formula of Strain?
By BYJU'S Exam Prep
Updated on: September 25th, 2023
- M0L0T0
- M1L-1T-2
- M0L0T-1
- None of the above
The dimensional formula of strain is M0L0T0. Any physical quantity can be measured by comparing it to a basic, arbitrary, and widely recognised reference standard known as a unit, and a dimension is a mathematical tool for understanding the nature of physical quantities.
- The fundamental idea behind dimensions is that only quantities with the same dimensions can be added or subtracted.
- The expression of the physical quantity in terms of mass, length, and time is what is meant by the dimensional formula.
Table of content
Strain
- Strain is defined as the configuration change relative to the initial configuration.
Strain = Change in dimension/ Original dimension = x/L
- Being the ratio of two similar values, strain has neither units nor dimensions. It lacks dimension.
- Its dimension can be expressed as M0L0T0
Strains are of three types
Longitudinal strain – It is the ratio of change in length to the original length.
Longitudinal strain = Δ l /l
Shearing strain – It is the ratio of change in angle to which it is turned to its distance from the fixed layer.
Shearing strain = Δ l /l
Volumetric strain – It is the ratio of change in volume to the original volume.
Volumetric strain = Δv/v
Summary:-
What is the Dimensional Formula of Strain? M0L0T0, M1L-1T-2, M0L0T-1, None of the above
M0L0T0 is the dimensional formula of strain. It is the ratio of change in dimension to original dimension.
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