moment of inertia

Discussion in 'Boat Design' started by dionysis, Sep 8, 2003.

  1. dionysis
    Joined: Jan 2003
    Posts: 258
    Likes: 3, Points: 0, Legacy Rep: 44
    Location: Tasmania, Australia

    dionysis Senior Member

    hi all,

    I need to know the moment of inertia (second moment of area) of a naca 0012 section, for structural purposes. Anyone know it Thanks in advance.

    Cheers, dionysis
     
  2. BrettM
    Joined: Apr 2002
    Posts: 204
    Likes: 3, Points: 0, Legacy Rep: 16
    Location: Australia

    BrettM Senior Member

    Um... Dimensions? or you could get it from any self respecting cad package...
     
  3. dionysis
    Joined: Jan 2003
    Posts: 258
    Likes: 3, Points: 0, Legacy Rep: 44
    Location: Tasmania, Australia

    dionysis Senior Member

    24 inch long and 2.88 in wide. got to buy myself one of those selfrespecting things, thanks
     
  4. Guest

    Guest Guest

    Use builder's rule

    I wrote a simple spreadsheet which used a series of triangles for just this sort of problem, and it was very simple, though I don't have it around any more.

    Just add up area, centroid and self I of a series of triangles comprised of the origin, the ith point, and the i+1th point. All the formulas for a triangle are in any handbook. If you are consitent about which way you go around the triangle, the orgin can be anywhere, as it will subtract tnegative areas automatically.
     
  5. dionysis
    Joined: Jan 2003
    Posts: 258
    Likes: 3, Points: 0, Legacy Rep: 44
    Location: Tasmania, Australia

    dionysis Senior Member

    I see what you mean. I will have a go. Thanks
     
  6. BrettM
    Joined: Apr 2002
    Posts: 204
    Likes: 3, Points: 0, Legacy Rep: 16
    Location: Australia

    BrettM Senior Member

    This is what I get, but you should satisfy yourself by other means that it is right. This data is for the complete section,
    Units are mm etc.
    X-Section Area 30219
    Centroid 259mm from leading edge
    Ixx 9169473 mm^4


    Other data which you probably won't need but the above was extracted from.
    Area: 30219.4681
    Perimeter: 1241.0065
    Bounding box: X: 0.0000 -- 609.6000
    Y: -36.5760 -- 36.5760
    Centroid: X: 259.0364
    Y: 0.0000
    Moments of inertia: X: 9169473.1270
    Y: 2637530313.3132
    Product of inertia: XY: 0.0000
    Radii of gyration: X: 17.4192
    Y: 295.4305
    Principal moments and X-Y directions about centroid:
    I: 9169473.1270 along [1.0000 0.0000]
    J: 609807741.7375 along [0.0000 1.0000]
     
  7. dionysis
    Joined: Jan 2003
    Posts: 258
    Likes: 3, Points: 0, Legacy Rep: 44
    Location: Tasmania, Australia

    dionysis Senior Member

    Now this is certainly a complete reply! Kinda nice to have a self respecting. Thanks Brett.
     

  • Loading...
    Forum posts represent the experience, opinion, and view of individual users. Boat Design Net does not necessarily endorse nor share the view of each individual post.
    When making potentially dangerous or financial decisions, always employ and consult appropriate professionals. Your circumstances or experience may be different.