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.
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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