Is my math correct?
posted by Henri .
Find the Inside diameter(d) and outside diameter(D) of a hollow shaft given:
Power transmitted by shaft=1400kW
Shaft speed=45 RPM
Angle of twist on shaft=1 degree
Modulus of Rigidity(G)=81.75GPa
Shaft ang. vel.=45*2pi/60s
Torque transmitted by shaft=Power/A.V.
Then using the Torsion equation:
Angle of twist=1*pi/360=0.01745
Using the general torsion equation:
Hope this is correct!
Thank you for checking it out.
The angular velocity is correct.
The torque (T) is correct
The angle of twist in radians is pi/180, not pi/360, but the 0.01745 rad is correct.
The annulus polar moment of inertia (J) formula is correct.
The stress/strain formula is correct.
D has been calculated properly and cnverted to centimeters. I did not check all of the numbers, but all steps seem to have been followed correctly.
Thank you so much