Question

What is the dimension of elastic modulus

Answer 1

Answer:

MoE is usually expressed as change in stress / change in strain.

Strain is said to be dimensionless, since it is change in length / original length. Therefore a unit for MoE is the same as a unit for stress. In SI-land, that unit is the pascal. and pascals are newtons / metre square. Ie N m-2. So, the dimensions are

M1L-1T-2

Answer 2

Answer

Young's modulus is the ratio of stress, which has units of pressure, to strain, which is dimensionless; therefore, Young's modulus has units of pressure. From my reasoning if something is dimensionless, it should be a unitless ratio.

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