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Resolving forces using Compatibility of Displacements?

  1. Apr 23, 2012 #1
    1. The problem statement, all variables and given/known data

    A pin-jointed frame (diagram attached) is formed of steel rods of 10mm diameter with member AC being 2m long. If a load of 50kN is applied at A as shown, determine the deflection of A and the force in the three rods. Take E = 200kN/mm^2.

    2. Relevant equations

    FA→B = FA→D = FA→C* cos(30)^2

    FA→C +2*FA→B cos(30) = 50kN

    3. The attempt at a solution

    Our tutor has given the answers as:

    FA→C = 21.7kN
    FA→B=FA→D=16.6kN
    And he has said FA→C = 50kN/1+2cos(30)^3)

    But when I solve the equations in for FA→C I actually get= 25.6kN. can anyone help me find my error?
     

    Attached Files:

    Last edited: Apr 23, 2012
  2. jcsd
  3. Apr 23, 2012 #2
    If you could show your working, you would get more help. Meanwhile, on what principles are the equations "FA→B = FA→D = FA→C* cos(30)^2" based?
    At what point in your calculations has the compatibility of the displacements been made?
     
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