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Math Help - Maximum torque problem

  1. #1
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    Maximum torque problem

    Hi all,
    Can anyone help with this problem from my statics revision? It's the only one from my worksheet I am struggling with.

    A solid steel shaft has a diameter of 60mm. Determine the maximum torque that can be applied to the shaft if the maximum twist per meter is to be 1 degree. The shaft has a shear modulus of 80 GPa.

    I don't seem to have anything in my notes that would help me tackle this problem.

    Thanks in advance for your help.
    MM
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  2. #2
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    I think I have worked the solution

    If anyone can see something I have done wrong then please let me know.

    Diameter = 60mm = 0.06m
    Radius = 0.03m
    Length = 1m
    Theta = 1 degree = 0.0175rads
    Shear modulus = 80 x 10exp9

    Torque = G*r*theta/L
    Torque = 80 x 10exp9*0.03*0.0175/1
    Torque = 42000000
    Torque = 42kNm

    I think I have answered my own question. Just thought I'd post the answer I got.

    MM
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  3. #3
    Super Member flyingsquirrel's Avatar
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    Hello
    Quote Originally Posted by marky001 View Post
    If anyone can see something I have done wrong then please let me know.

    Diameter = 60mm = 0.06m
    Radius = 0.03m
    Length = 1m
    Theta = 1 degree = 0.0175rads
    Shear modulus = 80 x 10exp9

    Torque = G*r*theta/L
    The only thing I can say is that \frac{G r \theta }{L} can't be a torque since it's unit is Pa.radians=N.rad/m^2 which is quite different from N.m.
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