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Torsion
The Engineer
posted on October 23, 2006 |
The shear stress in beam due to torque can be derived with three principals:
Geometry, Hooke's Law, and Equilibrium.
Circular Members
Geometry
:
g
= shear strain
f
= angle of twist
q
= angle of twist / unit length
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 = 2
p
r
3
t
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