# Dimensions of Stress

## Dimensional Formula of Stress

The dimensional formula of Stress is given by,

[M1 L-1 T-2]

Where,

• M = Mass
• L = Length
• T = Time

### Derivation

Stress = Force × [Area]-1 . . . . . (1)

The dimensional formula of area = [M0 L2 T0] . . . . (2)

Since, Force = M × a = [M] × [M0 L1 T-2]

∴ The dimensional formula of force = [M1 L1 T-2] . . . . (3)

On substituting equation (2) and (3) in equation (1) we get,

Stress = Force × [Area]-1

Or, Stress = [M1 L1 T-2] × [M0 L2 T0]-1 = [M1 L-1 T-2]

Therefore, stress is dimensionally represented as [M1 L-1 T-2].