QUESTIONS

A solid machine shatl nunning at $400\frac{r}{m}in$ is supported on two bearings $400$ mm apart. $30$ kW is tranmittad to the shalt through a $400$ mm diameter pulley located $200$ mm to the right of the right$-$hand bearing centre.

The power is transmitted from the shaft through a $150$ mm diameter pinion located $200$ mm to the right of the left$-$hand bearing centre. The belt drive is at an angle of $30$ above the horizontal. The mass of the pulley is $40$ kg and the ratio of belt tension is $3$:$1.$ The pinion gear has a pressure angle of $20$ and meshes with another gear located directly above it$.$

The shatl material has an ultimate shear strength of $450$ MPa $.$

Design a suitable shaft diameter for the drive by using the guest formula $($see Figure $1).$ NOTE: the pinion rotates anti$-$clockwise.

The shaft is subjected to shock and fatigue factors of $K_D=1,5$ and $K_t=2.$

NOTE: The pinion rolates anti$-$clockwise