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Cantilever Beams

  1. Feb 6, 2007 #1
    1. The problem statement, all variables and given/known data

    A cantilever beam carriers an end load of 20kN and has an EI value of 40 KNm^2. If the beam is 0.25m long, use intergration to determine

    the slope at the free end of the beam?

    2. Relevant equations

    I know from a handout I have that the fudamental equation to use is

    d^2y/dx^2 = M/EI

    when I substitute this I get EI X d^2y/dx^2 = WU(l - x)

    This is where I am stuck? Any help much appricated
  2. jcsd
  3. Feb 6, 2007 #2


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    Homework Helper

    Hint: the slope means 'first derivative', i.e. the rotation of the cross section of the beam.
  4. Feb 6, 2007 #3
    Not with you? I think you have to intergrate it but Not sure how many times though.
  5. Feb 6, 2007 #4


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    Homework Helper

    Do you know what the y means in that differential equation? open up your mechanics of materials book and look it up, then you'll understand what radou said.
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