(Solved): Determine the diameter for solid round shaft 450mm long as shown in figure below. The shaft is s ...

Determine the diameter for solid round shaft $450\mathrm{mm}$ long as shown in figure below. The shaft is supported by self-aligning bearing at the ends. Mounted upon the shaft are a Vbelt pulley, which contributes a radial load of $F_1=8\mathrm{kN}$ to the shaft and the gear which contributes a radial load of ${\mathrm{F}}_2=3\mathrm{kN}$. The two loads are in the same plane and have the same directions. The allowable bending stress (strength) is $S=70\mathrm{MPa},b=150\mathrm{mm},c$ $=200\mathrm{mm}$.