We all come under word Stress in our daily life when some external thing affects our state of mind. Similarly in physics Stress is the external restoring force acting per unit area.

Stress is denoted by**$\sigma$**. It is expressed in **N/m**^{2}.

Stress formula is given by

Stress is denoted by

Stress formula is given by

Where,

F = Force applied

A = Area on which force is acting.

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

F = Force applied

A = Area on which force is acting.

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

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Below are problems based on stress which may be helpful for you.

### Solved Examples

**Question 1: **Find the stress if a force of 50 N is acting on an area of 5 mm^{2}?

** Solution: **

Given: Force F = 50 N,

Area A = 5mm^{2}

The stress is given by Stress = $\frac{F}{A}$

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

= 10 \times 10^{6} Nm^{2}.

**Question 2: **An elastic spring is given a force of 1000 N over an area of 0.2 m^{2}. Calculate the stress?

** Solution: **

Given: Force F = 1000 N,

Area A = 0.2 m^{2}

The stress is given by Stress = $\frac{F}{A}$

= $\frac{1000 N}{0.2}$

= 5000 Nm^{2}.

Given: Force F = 50 N,

Area A = 5mm

The stress is given by Stress = $\frac{F}{A}$

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

= 10 \times 10

Given: Force F = 1000 N,

Area A = 0.2 m

The stress is given by Stress = $\frac{F}{A}$

= $\frac{1000 N}{0.2}$

= 5000 Nm