A solid titanium alloy [G=114⁢ GPa] shaft that is 950 mm long will be subjected to a pure torque of T=195 N⋅m. Determine the minimum diameter required if the shear stress must not exceed 145 MPa and the angle of twist must not exceed 3°. Report both the maximum shear stress τ and the angle of twist φ at this minimum diameter.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A solid titanium alloy [G=114⁢ GPa] shaft that is 950 mm long will be subjected to a pure torque of T=195 N⋅m. Determine the minimum diameter required if the shear stress must not exceed 145 MPa and the angle of twist must not exceed 3°.  Report both the maximum shear stress τ and the angle of twist φ at this minimum diameter.

Based only on the requirement that the shear stress must not exceed 145 MPa, what is the minimum diameter of the shaft?

dτ=       mm

Based only on the requirement that the angle of twist must not exceed 3°, what is the minimum diameter of the shaft?

dφ=       mm

Determine the minimum diameter required.

dmin=       mm

Determine the polar moment of inertia corresponding to the minimum diameter for the shaft.

J=        mm4

 

Determine the maximum shear stress at the minimum diameter.

τmax=      t MPa

Determine the angle of twist in the shaft at the minimum diameter.  Enter your answer in degrees.

φ=        °
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