A gearbox shaft that transmits 15 HP at 454 RPM has a gear medium radius bevel R1 = 8 cm and a straight tooth gear with primitive radius R2 = 3 cm. Both gears are mounted on the shaft by pressing adjustments. The tree is rectified and the Steel with which it is constructed has a tensile strength of 9000 kgf / cm2 and a limit of creep of 6850 kgf / cm2 . Knowing the geometry of the tree and the forces acting on it, Check if you will have infinite life. If not, determine life in hours. Ft ₁ = 300 kgf, Fa ₁ = 104 kgf, Fr ₁ = 25 kgf, Ft ₂  = 800 kgf and Fr ₂  = 325 kgf.

Fr F F Al Fr2 3.5