Class 11 Physics Mechanical Properties of Solids | Shearing Strain |

**Shearing Strain**

- Shearing strain is the measure of the relative displacement of the opposite faces of the body as a result of shearing stress.

- If we apply force parallel to the cross - sectional area because of which there was relative displacement between the opposite faces of the body.
- Shearing strain measures to what extent the two opposite faces got displaced relative to each other.
- Mathematically:-
- Consider a cube whose initial length was L which is at some position and when it gets displaced by an angle θ.
- Let the small relative displacement be x.

**Shearing strain= x/L**

- In terms of tan θ,
- Shearing strain = tan θ = x/L
- tan θ is equal to θ (as θ is very small)
- Therefore,
**x/L = θ**

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