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Moment of inertia formula

  1. Nov 9, 2015 #1
    1. The problem statement, all variables and given/known data
    To calculate the moment of inertia of a cantilevered tapered tube with mid-thickness large radius RL and mid-thickness small radius RS

    2. Relevant equations
    upload_2015-11-9_19-52-48.png

    3. The attempt at a solution
    Area of the larger end of the tube
    AL=2*pi*RL*t
    Area of the smaller end of the tube
    AS=2*pi*RS*t
    Area of the tube at a distance x is
    AX=2*pi*RX*t
    RX=RL - x*tanalpha
    tanalpha=deltaR/L
    deltaR = RL-RS
     

    Attached Files:

  2. jcsd
  3. Nov 9, 2015 #2

    SteamKing

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    When you say 'calculate the moment of inertia', do you mean calculate the 'second moment of area' of the cross section of the tube (units of L4 ) or do you mean calculate the 'mass moment of inertia' of this piece (units of ML2 )? It makes a difference ...
     
  4. Nov 9, 2015 #3
    Second moment of area
     
  5. Nov 9, 2015 #4

    SteamKing

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    How would you calculate the second moment of area for a circle?
     
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