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Simplification of load on beam for Max M and D

  1. Jan 20, 2016 #1
    Guys I have tricky question :

    I have beam loaded like that:
    iG2eHoq.jpg

    Is there any easy way to do simplification of this load ( I don't mean transfer the UDL to Point Load). Mentioned that I mean the way to not do the calculation of moment to find max in 4 section and the two almost 4 double integrals to get the deflection formula.

    Is there a way to change all to point load sum up and place in some x position? Or there is no way to find this max moment and deflection formula easier way?
     
  2. jcsd
  3. Jan 21, 2016 #2
    Since deflection is the second integral of moment, you could conceivably find point loads that cause the same maximum moment in each section and it should provide identical maximum deflection.
     
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