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Stress (continuum mechanics)

  1. Aug 12, 2009 #1
    1. The problem statement, all variables and given/known data

    A catilever beam with rectangular cross-section occupies the region -a [tex]\leq[/tex]x1 [tex]\leq[/tex]a , -h [tex]\leq[/tex] x2 [tex]\leq[/tex] h , 0 [tex]\leq[/tex] x3 [tex]\leq[/tex] L
    The end x3=L is built-in and the beam is beant by a force P applied at the free end x3=0 and acting in the x2 direction. The stress tensor has components:

    (T)=(0 0 0, 0 0 A+B(x2)[tex]^{2}[/tex], 0 A+B(x2)[tex]^{2}[/tex] C(x2)(x3))

    where A, B, C are constants.
    Question: express the resultant force on the free end x3=0 in terms of A, B, C.

    2. Relevant equations

    3. The attempt at a solution

    I don't know how to do this question. can someone please help me and tell me how to start please. thank you
  2. jcsd
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