Question

calculate the torque which a shaft of 300 mm diameter can safely transmit, if the shear stress is 48 n / mm2.

Answer 1

To calculate the torque that a shaft of 300 mm diameter can safely transmit, we can use the formula:

Torque = (Allowable shear stress * π * (Diameter/2)^3) / 16

Plugging in the given values:

Torque = (48 N/mm^2 * π * (300 mm / 2)^3) / 16

Simplifying the expression:

Torque = (48 N/mm^2 * 3.14 * (150 mm)^3) / 16

Calculating further:

Torque = (48 N/mm^2 * 3.14 * 150 mm * 150 mm * 150 mm) / 16

Torque = (48 * 3.14 * 150 * 150 * 150) / 16 N-mm

Torque = 1031400 N-mm

Therefore, the shaft of 300 mm diameter can safely transmit a torque of 1031400 N-mm.