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  1. daniel7campbell

    Solving a 3D force-moment balance using two force application points

    Apologies for the confusing reply. And yes, I now understand the problem better. I will add a third point and solve for my application. Thanks to both of you
  2. daniel7campbell

    Solving a 3D force-moment balance using two force application points

    I have not disappeared from this thread, I was away for the weekend. zekeman: The forces/moments at 0,0 are defined above. They have nothing to do with the forces at points 1 and 2, those forces simply have to add up to equate the forces already present at 0,0. This problem yields a 6dof...
  3. daniel7campbell

    Solving a 3D force-moment balance using two force application points

    F = [-0.000305554 1081.047698 47.62631473] M = [-1409.758905 -1839.618482 -7996.19718] x1=-25.705; x2=-25.705; y1=-5.097; y2=5.097; z1=-3.276; z2=-3.276;
  4. daniel7campbell

    Solving a 3D force-moment balance using two force application points

    I guess we are beating this to death at this point, but I believe the definition of a system of equations with a determinant of zero means that the equations are not independent. I just attempted to solve the remaining system by hand and ended up with a constant = constant (all variables...
  5. daniel7campbell

    Solving a 3D force-moment balance using two force application points

    I'll try to explain a little further. The system is a fairly large mechanical device used on most aircraft (I'm afraid I can't give much more information than that). It is mounted to the A/C using a number of rods/lugs. From FEM runs, I have the loads at all of these A/C interface points for a...
  6. daniel7campbell

    Solving a 3D force-moment balance using two force application points

    Ok, I agree that the forces should sum to -Fx to equal zero, my mistake, but that does not affect the ability to invert A. I had already gone down the reduction path, getting: A = [-y1+y2 x1-x2 o z1-z2 0 -x1+x2 0 -z1+z2 y1-y2]; x = [-Fx2; -Fy2; -Fz2]; B = [Mz-Fx*y1+Fy*x1; My+Fx*z1-Fz*x1...
  7. daniel7campbell

    Solving a 3D force-moment balance using two force application points

    Thanks for the response. I have tried swapping the equations around to no avail. The system actually has a lot more loads on it, summing to the forces and moments described by [Fx Fy Fz] and [Mx My Mz]. There are no direct forces on that point. I am trying to balance all of the other forces...
  8. daniel7campbell

    Solving a 3D force-moment balance using two force application points

    Hi, I'm attempting to solve a 6x6 system of equations, but am returning an uninvertible matrix. The system has an arbitrary center point and two load application points defined by [x1,y1,z1] and [x2,y2,z2]. The forces and moments at the center point are [Fx Fy Fz] and [Mx My Mz] respectively...

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