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Civil Engineering - Matrix Flexibility Method

  1. Apr 4, 2010 #1
    I have strayed from the template because I am querying a methodology, not an explicit case.

    This is Civil Engineering - Matrix Flexibility Method.

    Given "m" members and "n" nodes I can use this matrix to solve the basic member forces:

    dnggsk.jpg
    (sorry about the size I don't know how to scale)

    As far as I understand this can be easily done when the system is one degree indeterminate. My problem lies in calculating the above when the degree of indeterminacy rises above 1.

    Say, for example, I have a structure that is two degree indeterminate. Can I do the following?
    rrnynb.jpg

    i.e. Can I continue expanding that displacement matrix vertically or must I include both redundant support reactions in one equilibrium equation (the first picture)?

    I understand that this is a very specific portion of matrix methods and it may not be too clear. If anyone has any ideas or thoughts it would be greatly appreciated.

    Thanks in advance.
     
  2. jcsd
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