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Static Triple Vector Load Calculator

  1. Nov 18, 2009 #1
    Hi All,

    I've been trying to figure out how to get this formula working for a few days now, and I *refuse* to give up.

    There are three high points, with a line running down from each to a load W.
    Each of the lines A,B,C are at different angles to each other (x-y plane), and each of the lines depart the load to the high points at different angles (z-plane).
    The load is static, and there is no stretch or movement in the system.

    By knowing only the angles of the lines and the weight of the load, how can I calculate the load on each line?


    I have calculated this for a two rope system and it is simple trig, but for a three rope system I cannot seem to get it happening!
    I've tried solving using trigonometry, but I keep getting stuck. Today I've been trying to solve simultaneous vectors, but I still can't seem to get it right.

    If anyone has any clues, or could help I would greatly appreciate it.
    I can also draw up a picture to show the system, if that helps.
     
  2. jcsd
  3. Nov 18, 2009 #2
    Some extra information that I've been trying to use for simultaneously solving is this;

    If Vectors:
    A=[Ai, Aj, Ak]
    B=[Bi, Bj, Bk]
    C=[Ci, Cj, Ck]


    Then for the system to be static:
    Ai + Bi + Ci = 0
    Aj + Bj + Cj = 0
    Ak + Bk + Ck = W
     
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