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A problem about virtual work principle

  1. Sep 25, 2014 #1
    hello, I want to apply the virtual work principle to a continuous mechanical system to derive equilibrium equation, naemly, a long thin bar with one end fixed in the wall and other end applied with pressure P. but I can not derive the correct equilibrium equations. I hope some expert could give some advice.
    my thhinking is shown below:
    ?temp_hash=1576381b83a3354a61cab8b6a348bfb3.png

    ?temp_hash=1576381b83a3354a61cab8b6a348bfb3.png

    ?temp_hash=1576381b83a3354a61cab8b6a348bfb3.png
     

    Attached Files:

  2. jcsd
  3. Sep 26, 2014 #2
    Obviously, if the two terms from (4) result in ## T \delta u |_0^L = 0 ##, which gives you no condition on ##T## because ## \delta u(0) = \delta u(L) = 0 ##, it is the neglected third term that you must take into account.
     
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