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).

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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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).

A
0.3 m
0.5 m
FRONT VIEW
0.2 m
30⁰
T₂
SIDE VIEW
60⁰
T₂
3. 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. T₁ = 1000 N, T₂ = 500 N and T3 = 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 sut that is half of its ultimate
compressive strength suc. The desired factor safety is n = 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 Sut and Suc.
g. Use Brittle Coulomb-Mohr Theory and find the minimum required sut and Suc-
h. Use Modified Mohr Theory and find the minimum required Sut and Suc-
i. Use graphical method to check your answers in parts (a), (b) and (c).
Transcribed Image Text:A 0.3 m 0.5 m FRONT VIEW 0.2 m 30⁰ T₂ SIDE VIEW 60⁰ T₂ 3. 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. T₁ = 1000 N, T₂ = 500 N and T3 = 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 sut that is half of its ultimate compressive strength suc. The desired factor safety is n = 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 Sut and Suc. g. Use Brittle Coulomb-Mohr Theory and find the minimum required sut and Suc- h. Use Modified Mohr Theory and find the minimum required Sut and Suc- i. Use graphical method to check your answers in parts (a), (b) and (c).
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