In the figure above, the shaft has a diameter of 50mm, and the diameter of pulleys C and D are given to be 600 mm and 400 mm, respectively. ?1 = 1000 N, ?2 = 500 N and ?3 = 1500 N. But in addition to the force on the pulleys, a compressive axial force of 100 kN is acting on both ends of the shaft. The shaft is made from a brittle material with an ultimate tensile strength ??? that is half of its ultimate compressive strength ???. The desired factor of safety is ? = 2 for the shaft. e. Determine the principal stresses corresponding to maximum bending and torsional shear stresses. Ignore transverse shear stresses due to bending. f. Use Maximum Normal Stress Theory and find the minimum required ??? and ???. g. Use Brittle Coulomb-Mohr Theory and find the minimum required ??? and ???. h. Use Modified Mohr Theory and find the minimum required ??? and ???. i. Use graphical method to check your answers in parts (a), (b) and (c).

In the figure above, the shaft has a diameter of 50mm, and the diameter of pulleys C and D are given to
be 600 mm and 400 mm, respectively. ?1 = 1000 N, ?2 = 500 N and ?3 = 1500 N. But in addition to
the force on the pulleys, a compressive axial force of 100 kN is acting on both ends of the shaft. The
shaft is made from a brittle material with an ultimate tensile strength ??? that is half of its ultimate
compressive strength ???. The desired factor of safety is ? = 2 for the shaft.
e. Determine the principal stresses corresponding to maximum bending and torsional shear stresses.
Ignore transverse shear stresses due to bending.
f. Use Maximum Normal Stress Theory and find the minimum required ??? and ???.
g. Use Brittle Coulomb-Mohr Theory and find the minimum required ??? and ???.
h. Use Modified Mohr Theory and find the minimum required ??? and ???.
i. Use graphical method to check your answers in parts (a), (b) and (c).