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Torsion problem

1. The problem statement, all variables and given/known data

Two axels of steel are connected with gears. Both axels have the same diameter (d) and length (1000mm). Diameter of gear B is 150 mm and diameter of gear C is 450 mm. Gear D is stationary. A torque of 100 Nm is applied to gear A.


Maximum allowed shearstress in the axels are 60 Mpa. Shear modulus of the steel the axels are made of is G = 8*10^4 Mpa


a) Calculate the necessary axel diameter (d) and the angle of twist (in degrees) that gear A will move.

b) Calculate the necessary axel diameter when the angle of twist in axel CD is 0,25 degrees. Both axels have the same diameter.


https://dl.dropboxusercontent.com/u/11241083/problem_axle.png [Broken]
2. Relevant equations
https://dl.dropboxusercontent.com/u/11241083/formulas_axle.png [Broken]



3. The attempt at a solution
https://dl.dropboxusercontent.com/u/11241083/answer_axle.png [Broken]
 
Last edited by a moderator:
Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.
 

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