MecMovies 4.0 : M6.7: Multiple Torques

scene 9 of 9

Free-Body diagram of the shaft A B C which cuts through A B shows the torques 600 Newton meter, 200 Newton meter acting on B and C, and a positive internal torque T subscript 1 acts on A B towards A. The length of A B is 100 millimeters, B C is 300 millimeters. The internal torque at A B is 400 Newton meter. A positive internal torque T subscript 2 acts on B C towards B. The internal torque at B C is negative 200 Newton meter. Tau at A B is 130.4 mega Pascal and Tau at B C is negative 65.2 mega Pascal. The rotation angles is 0.0158 radians at B, minus 0.0079 radians at C.

The shear stresses in shaft segments $(1)$ and $(2)$ are:

$τ_{1} = 130.4 MPa$

$τ_{2} = - 65.2 MPa = 65.2 MPa$

Note: Normally, only the magnitude of the shear stress is of interest.

The rotation angle of $C$ with respect to $A$ is:

$ϕ_{C} = - 0.0079 rad$

Finished