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Calculating the maximum shear stress in a shaft

  1. May 7, 2016 #1
    1. The problem statement, all variables and given/known data
    db7842.png

    2. Relevant equations
    Torque = Force x Distance
    Shear stress = Force/Area

    3. The attempt at a solution
    I know how to do this question as I've seen the mark scheme. However, initially I did it wrong. What I did was as follows:

    Torque = Force x Distance
    therefore Torque/Distance = Force
    therefore Force = 200/(50/100) = 400 N

    Then I used Shear stress = Force/Area and plugged in the value of 400N and that of the area to find the shear stress.

    As I said, I know that this is not the way to calculate the answer to this question.
    However, I want to know, what shear stress does the shear stress obtained via this method actually refer to? As in, when I did the force (that I found via T=Fr) divided by the area of the shaft, I got a value for shear stress, what is this value referring to? The shear stress at the end of the shaft? Or?
     
  2. jcsd
  3. May 7, 2016 #2

    Nidum

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    Science Advisor
    Gold Member

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