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Intrinsic critical speed of a steel circular shaft

  1. Dec 24, 2013 #1
    1. The problem statement, all variables and given/known data
    Determine the intrinsic first critical speed of a circular steel shaft supported by two bearings
    E=207GPa

    How can i determine it i'm very confused about this question , you can see the question at the attachment. Thanks for the help
     

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  2. jcsd
  3. Dec 24, 2013 #2

    SteamKing

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    Specifically, what are you confused about? Do you understand how to calculate the critical speed of a shaft? Have you been exposed to the Rayleigh Method? Dunkerley's equation?
     
  4. Dec 24, 2013 #3
    i'm not so good at this lecture. The part i'm confused is there is 3 different regions in the shaft so do i have to calculate for each of them and take the lowest one? i know the Rayleigh Method and the Dunkerley's Equation but i need to use m ( mass ) in those equations , the problem is only E is given to me. Where do i have to start to solve this
     
  5. Dec 24, 2013 #4

    SteamKing

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    The OP says it is a steel shaft, so you can look up the density of steel and figure the mass of the shaft.

    I think your first order of business is to analyze the shaft statically and determine its deflection between the bearings.
     
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