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Isoparametric formula is ______________

(a) x=N1x1+N2x2

(b) x=N2x1+N1x2

(c) x=N1x1-N2x2

(d) x=N2x1-N1x2

I got this question during an interview for a job.

This interesting question is from One Dimensional Problems in chapter One Dimensional Problems of Finite Element Method

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Best answer
Right choice is (a) x=N1x1+N2x2

Easy explanation: From nodal displacement equation we can write that isoparametric equation as

 x=N1x1+N2x2

Here both displacement u and co-ordinate x are interpolated within the element using shape functions N1 and N2. This is called isoparametric formulation in literature.

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