# Maximum Shear Stress Calculator

Shear stress is a component that lies parallel to the surface, which results from forces applied parallel to the surface. It arises from the force vector component parallel to the cross section. Maximum shear stress occurs when there is maximum shear flow. Shear stress will be maximum at the angle, ΘΤ_{-max}. The angle can be identified by taking a derivative of the shear stress rotation equation. Enter normal and shear stress in this maximum shear stress calculator to find the result.

Shear stress is a component that lies parallel to the surface, which results from forces applied parallel to the surface. It arises from the force vector component parallel to the cross section. Maximum shear stress occurs when there is maximum shear flow. Shear stress will be maximum at the angle, ΘΤ_{-max}. The angle can be identified by taking a derivative of the shear stress rotation equation. Enter normal and shear stress in this maximum shear stress calculator to find the result.

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#### Formula:

Maximum Shear Stress (σ_{max} ) = √(((σ_{x} - σ_{y})/2)^{2} +τ_{xy}^{2})
**Where,**
σ_{x}, σ_{y} = Normal Stress
τ_{xy} = Shear Stress
### Example:

Calculate maximum shear stress for σ_{x} and σ_{y} as 5 Pa and 6 Pa and shear stress as 8 Pa.

#### Solution:

σ_{max} = √(((6 - 5)/2)^{2} + 8^{2}

= 8.01 Pa