+1 vote
in Finite Element Method by (110k points)
In particular, N1+N2+N3 represent a plane at a height of one at nodes ______

(a) One

(b) Two

(c) Three

(d) One, two and three

This question was posed to me in an interview.

The doubt is from Two Dimensional Problems topic in division Two Dimensional Problems using Constant Strain Triangles of Finite Element Method

1 Answer

+2 votes
by (185k points)
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Best answer
The correct option is (d) One, two and three

Explanation: Any linear combination of these shape functions also represents a plane surface. In particular, N1+N2+N3 represents a plane height of one at nodes one, two, and, three and thus it is parallel to the triangle 123.

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