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Shear stress in beam

  1. Jul 22, 2016 #1
    1. The problem statement, all variables and given/known data
    upload_2016-7-22_15-47-15.png


    where

    V = total shear force at the location in question;
    Q = statical moment of area;
    t = thickness in the material perpendicular to the shear;
    I = Moment of Inertia of the entire cross sectional area.
    based on this formula , the shear stress is max at the neutral axis of beam .... Why it is so ? Can someone prove me ?

    2. Relevant equations


    3. The attempt at a solution
     
  2. jcsd
  3. Jul 22, 2016 #2

    Attached Files:

  4. Jul 22, 2016 #3

    PhanthomJay

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    The author's working is correct. You are not calculating Q correctly. Q is the area below the section of interest time the distance from the centroid of that area to the neutral axis. Use y1, not y, when calculating the area and the distance of the centroid of that area to the neutral axis.
     
  5. Jul 22, 2016 #4
    solved
     
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