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].

⇒ Check Other Dimensional Formulas:

• Dimensions of Coefficient of Friction
• Dimensions of Charge
• Dimensions of Reynolds Number
• Dimensions of Magnetic Flux
• Dimensions of Linear Density

Electromagnetic Induction and Magnetism