### Surface forces

**Surface force** denoted f_{s} is the force that acts across an internal or external surface element in a material body. Surface force can be decomposed into two perpendicular components: pressure and stress forces.
Pressure force acts normally over an area and stress force acts tangentially over an area.

## Contents

## Equations for surface force

### Surface force due to pressure

- $f\_s=p\; \backslash cdot\; A\; \backslash $

f = Force, p = pressure, A = cross sectional area of the moving fluid

## Examples

Pressure is in $\backslash frac\{force\}\{area\}=\backslash mathrm\{\backslash frac\{N\}\{m^2\}\}$

Area is a $(length)\backslash cdot(width)\; =\; \backslash mathrm\{m\; \backslash cdot\; m\; \}=\; \backslash mathrm\{m^2\}$

Given a pressure of $5\; \backslash mathrm\{\backslash frac\{N\}\{m^2\}\}\; =\; 5\; \backslash mathrm\{Pa\}$ and an area of $20\; \backslash mathrm\{m^2\}$ find the surface force due to pressure.

- $5\; \backslash mathrm\{Pa\}\; \backslash cdot\; 20\; \backslash mathrm\{m^2\}\; =\; 100\; \backslash mathrm\{N\}$

## See also

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