24.3 : 변속기 샤프트: 문제 해결

A solid shaft rotates, transmitting power from the motor to a machine tool connected to the gear. Given the allowable shearing stress, calculate the smallest possible diameter of the solid shaft.

First, calculate the torque exerted on the gear using the shaft revolution and power transmission values.

The corresponding tangential forces acting on the gears are computed using the torque.

The bending moment diagrams determine the bending moment values for forces acting on the horizontal and vertical planes.

At all potentially critical transverse sections, calculate the square root of the sum of squares of bending moments, and torsion.

Obtain the polar moment ratio by substituting the known and computed values into the relation that equates shearing stress with the polar moment ratio and the maximum value derived from the square root of the sum of the squares of bending moments and torsion.

Finally, determine the shaft's radius and the smallest permissible diameter using the polar moment ratio value.