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# Stress Calculator

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The stress of the material is the force applied to the material per unit area. Stress of the material is calculated by,
Stress = $\frac{Force}{Area}$
$S$ = $\frac{F}{A}$

where,
F = force applied in N,
A = area in $m^{2}$,
S = stress in Pa.

## Steps

Step 1: Read and note down the given values of the problem.

Step 2: Apply the formula given above to find the unknown parameter.

Stress = $\frac{Force}{Area}$

## Problems

Given below are some of the problems based on stress.

### Solved Examples

Question 1: Calculate the stress in the wire of diameter 2.5m and force of 12N.
Solution:

Step 1: Given :
Force = 12N,
Area of wire = $\frac{\pi d^{2}}{4}$

= $\frac{\pi (2.5)^{2}}{4}$

= 4.90 $m^2$
Stress = ?

Step 2: Stress $S$ = $\frac{F}{A}$

$S$ = $\frac{12 N}{4.90 m^2}$
$S$ = 2.448 N/$m^2$ = 2.448 Pa

Therefore, stress in the wire is 2.448 Pa.

Question 2: A 6m diameter of bar is stretched with a force of 14N, determine the stress in the bar.
Solution:

Step 1: Given :
Force = 14N,
Area of wire = $\frac{\pi d^{2}}{4}$

= $\frac{\pi (6)^{2}}{4}$

= 28.27 $m^2$
Stress = ?

Step 2: Stress S = $\frac{F}{A}$

S = $\frac{14 N}{28.27 m^2}$

S = 0.495 N/$m^2$ = 0.495 Pa

Therefore, stress in the bar is 0.495 Pa.