# Shear Stress in Shaft Calculator

A shear stress is completely opposite to the normal stress. It is the external force that lies parallel to the object plane. When a shaft encounters a twist, shear stress occurs in shaft causing the shear stain. The stress level varies from zero in the axis to the maximum at the outer side of the shaft. Use this online shear stress in shaft calculator to find the shear stress using the twisting moment, distance from center to the stressed surface and Polar Moment of Inertia.

A shear stress is completely opposite to the normal stress. It is the external force that lies parallel to the object plane. When a shaft encounters a twist, shear stress occurs in shaft causing the shear stain. The stress level varies from zero in the axis to the maximum at the outer side of the shaft. Use this online shear stress in shaft calculator to find the shear stress using the twisting moment, distance from center to the stressed surface and Polar Moment of Inertia.

Code to add this calci to your website

#### Formula:

τ = (T * r) / J
**Where,**
τ = Shear Stress in Shaft
T = Twisting Moment
r = Distance from Center to Stressed Surface in the Given Position
J = Polar Moment of Inertia of an Area
### Example:

If the twisting moment, distance from center to stressed surface in the given position and the polar moment of inertia of an area are 10 Nmm, 15 mm and 20 mm^{4}.

#### Solution:

τ = (T * r) / J

= (10 x 15) / 20

= 7.5MPa