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If the geometry and other parameters of an element are defined in terms of only one spatial coordinate, then the element is a one-dimensional element?

(a) True

(b) False

The question was asked by my school teacher while I was bunking the class.

My question is from Library of Elements and Interpolation Functions topic in division Interpolation Functions, Numerical Integration and Modelling Considerations of Finite Element Method

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by (185k points)
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Best answer
Correct option is (a) True

The best I can explain: A one-dimensional element possesses one degree of freedom at each node. It is also known as a bar element or line element. Geometry and other parameters of a bar element are defined in terms of one spatial coordinate only. If a one-dimensional element has two nodes with corresponding displacements u1, u2 and corresponding shape functions N1, N2, then the displacement function is given by N1u1+N2u2.

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