MecMovies 4.0 : M6.18: Motor-driven Shafts

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Diagram shows two shafts marked 1 and 2 of length 36 inches and 96 inches respectively. They are connected by two gears at B which has 24 teeth on the shaft 1 and at C which has 72 teeth on the shaft 2. The shaft 1 is connected to a motor at A. The shaft 2 has a gear at D on which a torque T subscript D is applied.

The shear stress magnitude in shaft $(2)$ is:

$τ_{2} = \frac{T_{2} c_{2}}{J_{2}} = \frac{(131.303 lb - ft) (1.25 in . / 2) (12 in . / ft)}{0.239684 {in.}^{4}} = 4, 108.615 psi = 4, 110 psi$