# In displacement-based plate theories, which option is correct about Shear Deformation Theory (SDT)?

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In displacement-based plate theories, which option is correct about Shear Deformation Theory (SDT)?

(a) It is also called Kirchhoff plate theory

(b) It is an extension of Euler-Bernoulli beam theory from one dimension to two dimensions

(c) It does not involve Timoshenko beam theory

(d) It is often known as Hencky-Mindlin plate theory

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I want to ask this question from Shear Deformable Plate Model in section Bending of Elastic Plates of Finite Element Method

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The correct choice is (d) It is often known as Hencky-Mindlin plate theory

For explanation: The two most commonly used displacement-based plate theories are the Classical Plate Theory (CPT) and first-order Shear Deformation Theory (SDT). CPT is an extension of the Euler-Bernoulli beam theory from one dimension to two dimensions and is also known as the Kirchhoff plate theory. Shear Deformation Theory is an extension of the Timoshenko beam theory and it is often called the Hencky-Mindlin plate theory.

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