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Which option is correct about an analog of a plate in simple plate theory used in FEM?

(a) A plate is a one-dimensional analog of a beam

(b) A plate is a two-dimensional analog of a beam

(c) A plate is a three-dimensional analog of a beam

(d) A plate is not analogous to beam

I have been asked this question in an interview.

This interesting question is from Classical Plate Model in portion Bending of Elastic Plates of Finite Element Method

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The correct option is (b) A plate is a two-dimensional analog of a beam

Easy explanation: Geometrically, plate problems are similar to the plane stress problems except that plates are also subjected to transverse loads that cause bending about axes in the plane of the plate. In other words, a plate is a two-dimensional analog of a beam. Because of the smallness of the thickness dimension, it is often not necessary to model plates using three-dimensional elasticity theory. Simple two-dimensional theories that account for the kinematics of bending deformation of thin bodies subjected to transverse loads have been developed, and they are known as plate theories.

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