# Stress Formula

We all come in touch with the word stress in our day-to-day life when some external thing has an impact on our state of mind. Likewise in Physics, stress is the external restoring force acting on per unit area.
Stress is denoted byÂ Ïƒ. It is represented asÂ N/m2.Â
Stress formula is articulated as

$\sigma =\frac{F}{A}$

Where,

$\sigma$Â =Stress(N/m2)

F =Force applied
A =Area on which force is acting

Stress formula is made use of to find stress applied on any given body if force and area on which force is exerted is given in the problem.

Stress Solved Examples

Underneath areÂ problems based on stress which may be useful for you.

ProblemÂ 1:Â Find the stress if a force of 50 N is acting on an area of 5 mm2?

Given: Force F = 50 N,
Area A = 5mm2

Stress,Â $\sigma =\frac{F}{A}$

$\sigma =\frac{50}{5\times 10^{-6}}$

$\sigma =10\times 10^{6}N/m^{2}$

ProblemÂ  2:Â An elastic spring is given a force of 1000 N over an area of 0.2 m2. Calculate the stress?

Known:

F (Force) = 1000 N,
A (Area) = 0.2 m2

$\sigma =\frac{F}{A}$

$=\,&space;\frac{1000N}{0.2}$

$\sigma =5000N/m^{2}$