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Spring force due to Axial and Torque load?

  1. Dec 3, 2015 #1
    1. The problem statement, all variables and given/known data
    EgJJYy5.jpg
    The first theory shows a spring under an axial load where the Torque is given as WRcos(a)

    SbYMZe7.jpg
    The second theory shows a spring under axial Torque. T is given as Wsin(a)

    2. Relevant equations
    Given in links

    3. The attempt at a solution
    A torque T would be at full strength along the X axis, where cos(0) = 1. Where a bending moment would be at full strength along Y where sin(90) = 1.

    It seems to be other way around though, what am I missing?
     
  2. jcsd
  3. Dec 3, 2015 #2

    haruspex

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    In Fig 12.5, alpha is the angle between T and the Y axis, not between T and the X axis.
     
  4. Dec 4, 2015 #3
    Ok I see now how the axis has has rotated and has the same angle relative to the Y axis. So that means X axis is 0 degrees and Y is 90 degrees.

    Why is the bending moment = Tcos(alpha) and axial Torque = TSin(alpha). Wouldn't measuring Torque be TCos(alpha) as Cos(0) = 1?
     
  5. Dec 4, 2015 #4

    haruspex

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    The torque is around the X axis, so the vector is along the X axis, i.e. where alpha is zero. So yes, it is cos because cos(0)=1.
     
  6. Dec 11, 2015 #5
    Thanks for response sorry for late reply. I see now.
     
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