# What is the other name of a linear triangular element for plane elasticity problems?

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What is the other name of a linear triangular element for plane elasticity problems?

(a) Constant-strain triangle

(b) Linear-strain triangle

(d) Variable-strain triangle

I have been asked this question in an online quiz.

My enquiry is from Plane Elasticity topic in portion Plane Elasticity of Finite Element Method

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The correct option is (a) Constant-strain triangle

Easiest explanation: In a linear triangular element (number of nodes=3), there are two degrees of freedom, ux and uy per node and a total of six nodal displacements per element. Since the first derivatives of shape functions for a triangular element are element-wise constant, all the strains computed for the linear triangular element are element-wise constant. Therefore, the linear triangular element for a plane elasticity problem is known as the constant-strain triangular (CST) element.

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