In FEM, What is the number of displacement polynomials necessary for finding displacements in a linear triangular element?

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In FEM, What is the number of displacement polynomials necessary for finding displacements in a linear triangular element?

(a) 1

(b) 2

(c) 3

(d) 4

The question was posed to me during an online exam.

Query is from Library of Elements and Interpolation Functions in portion Interpolation Functions, Numerical Integration and Modelling Considerations of Finite Element Method

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The correct option is (b) 2

Best explanation: The number of displacement polynomials for an element is equal to the degrees of freedom of each node of the element. A linear triangular element has three nodes and two degrees of freedom at each node. Thus, the total number of displacement polynomials necessary for finding displacements is two.

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