Shear Modulus

Shear Modulus

Shear modulus measures resistance against change in shape.

### Formula

$$G=\frac{Shear\ Stress}{Shear\ Strain}$$

### Expanded Form

$$G=\frac{F/A}{x/L}$$

### Simplified Form

$$G=\frac{FL}{Ax}$$

### Terminologies

- G → Shear modulus.

- x → Lateral displacement.

### SI Unit

$$Nm^{-2}$$

### Dimensions

$$[G]=[ML^{-1}T^{-2}]$$

### Usage

- Used in deformation due to tangential forces.