Why does strain have no unit?

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Strain is defined as the ratio of the change in dimension to the original dimension of a body.
Mathematically,$\text{Strain} = \frac{\Delta L}{L}$.
Since both the numerator (change in dimension) and the denominator (original dimension) represent the same physical quantity (length),their units cancel each other out.
Therefore,strain is a dimensionless and unitless quantity.

Explore More

Similar Questions

One end of a uniform rod of mass $m_1$ and cross-sectional area $A$ is hung from a ceiling. The other end of the rod is supporting a mass $m_2$. The stress at the midpoint of the rod is:

Difficult
View Solution

$A$ steel cable with a radius of $1.5 \; cm$ supports a chairlift at a ski area. If the maximum stress is not to exceed $10^{8} \; N m^{-2}$,what is the maximum load the cable can support?

The elastic limit of brass is $379\,MPa$. What should be the minimum diameter (in $mm$) of a brass rod if it is to support a $400\,N$ load without exceeding its elastic limit?

The load versus elongation graphs for four wires of same length and made of the same material are shown in the figure. The thinnest wire is represented by the line

The dimensions of stress are equal to

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo