Torsion Flashcards
Consider a bar to be rigidly attached at one end
and twisted at the other end by a torque or twisting
moment T equivalent to F × d, which is applied
perpendicular to the axis of the bar
Torsion
The angle through which the bar length L will twist is
Angle of Twist
Formula of Angle of Twist
θ = TL / JG in radians
For a solid or hollow circular shaft subject to a twisting moment T
Torsional Shearing Stress
Formula of Torsional Shearing Stress
T = Tp / J ; Tmax = Tr / J
Formula for a solid cylindrical shaft
J = π/32 (D)^4 ; Tmax = 16T / πD^3
Formula for a hollow cylindrical shaft
J = π/32 ( D^4 - d^4 ) ; Tmax = 16TD / π ( D^4 - d^4 )
A shaft rotating with a constant angular velocity (in radians per second) is being acted by a twisting moment T
Power transmitted by the Shaft
Formula of Power transmitted by the Shaft
P = Tω = 2πRf