The shear stress in beam due to torque can be derived with three principals: Geometry, Hooke's Law, and Equilibrium. |
|||||||||
Circular Members |
|||||||||
Geometry:
|
|
Hooke's Law: |
Equilibrium:
|
|
|
Relationship between Torque and Shear:
|
T = G · q · J | |
Polar Moment of Area for Circular Shapes:
|
||
Angle of Twist:
|
||
Circular Shaft: | ||
Hollow Shaft: | ||
Thin Walled Tube: | J = 2pr3t |