Wide beam equation. Consider a plate of length a and width b that bends in only one

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Wide beam equation. Consider a plate of length a and width b that bends in only one direction such that w(x,y) = f(x).

(a) Derive expressions for the bending moments, shear forces, and applied load in terms of the deflection function.

(b) Compare your solution to the equations of beam bending. For the same deflections, does Euler-Bernoulli beam theory or Kirchhoff-Love plate theory predict a stiffer structure? By what factor?

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Mechanical Vibrations

ISBN: 9780134361925

6th Edition

Authors: Singiresu S Rao

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Posted Date: May 13, 2024 12:26 PM

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Wide beam equation. Consider a plate of length a and width b that bends in only one

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Expert Answer:

To solve this problem we will use the principles of KirchhoffLove plate theory to derive the expressions for the bending moments shear forces and appl... View the full answer

Mechanical Vibrations

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