Shear Stress in a Shaft Calculator

Shear stress (τ):

Torque on the shaft (T):

Polar moment of inertia (J):

Radius at which force is applie (r):

How This Is Calculated

$$ \tau = \frac{T \cdot r}{J} $$ where:

τ = Shear stress (Pa)

T = Torque on the shaft (Nm)

J = Polar moment of inertia (m⁴)

r = Radius of the shaft (m)

Assumptions

The shaft material is homogeneous.
The material behaves elastically.
The deformations do not change the shaft geometry.
There are no stress concentrations.

Related Calculators

Bending Stress

Deflection Under Load

Natural Frequency for Torsional Vibration

Polar Moment of Inertia of a Circular Shaft

Power Transmitted Through a Shaft