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.

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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 (σmax ) = √(((σx - σy)/2)2xy2) Where, σx, σy = Normal Stress τxy = Shear Stress

Example:

Calculate maximum shear stress for σx and σy as 5 Pa and 6 Pa and shear stress as 8 Pa.

Solution:

σmax = √(((6 - 5)/2)2 + 82
= 8.01 Pa

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