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Homework Help: Shear Strain Problem

  1. Aug 30, 2015 #1


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    1. The problem statement, all variables and given/known data
    The support consists of three rigid plates, which
    are connected together using two symmetrically placed
    rubber pads. If a vertical force of 5 N is applied to plate
    A, determine the approximate vertical displacement of
    this plate due to shear strains in the rubber. Each pad
    has cross-sectional dimensions of 30 mm and 20 mm.
    Gr = 0.20 MPa.

    2. Relevant equations

    3. The attempt at a solution
    It is problem #3-33. I need help understanding the last part,
    d =40(0.02083) =0.833 mm
    Why do they use 40mm, the horizontal length of the padding. Also, where is this equation coming from?
  2. jcsd
  3. Aug 30, 2015 #2


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    Science Advisor
    Homework Helper
    Gold Member

    The last line is just trigonometry. Note that 0.02083 Rad is a very small angle so you can make a suitable approximation for Tan rather than use Tan itself.
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