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Homework Help: Shpae functions FEM

  1. Apr 4, 2012 #1
    1. The problem statement, all variables and given/known data
    http://img545.imageshack.us/img545/8149/13862239.png [Broken]

    The displacement functions:


    http://img256.imageshack.us/img256/2743/13939694.png [Broken]

    Derive the displacement functions 2-10 up to 2-13.

    2. Relevant equations
    Third cubic polynomial and elementary beam theory


    3. The attempt at a solution
    I don't understand how the displacement functions can be derived can somebody give me a hint?
     
    Last edited by a moderator: May 5, 2017
  2. jcsd
  3. Apr 7, 2012 #2
    Hmmm, the title should read displacement functions. The thing is I know that [itex] \xi [/itex] should run between 0 and 1 (because [itex] \xi = x/L) [/itex]. But why is the displacement: [tex]y(0) =
    \theta_1 \cdot L [/tex] shouldn't there be a correction for the second angle? Moreover why is the displacement at the end zero e.g. why is y(1) =0?

    By the way the picture ends like this:

    http://img252.imageshack.us/img252/4352/31333995.png [Broken]

    ands starts like this:

    http://img341.imageshack.us/img341/4606/99014438.png [Broken]
     
    Last edited by a moderator: May 5, 2017
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