The nodal displacements of the triangular element are given in the table below. a. It is intended
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The nodal displacements of the triangular element are given in the table below.
a. It is intended to use the polynomial \(u(x, y)=a_{1}+a_{2} x+a_{3} \mathrm{y}\) to interpolate the \(u\) displacements in the triangular element. Calculate the constants \(a_{1}, a_{2}\), and \(a_{3}\).
b. What is the strain \(\varepsilon_{x X}\) at the centroid of the triangle?
c. Derive an expression for \(u\) displacements of points on the edge 2-3 as a function of \(\xi\). That is, derive an expression for \(u(\xi)\).
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Related Book For
Introduction To Finite Element Analysis And Design
ISBN: 9781119078722
2nd Edition
Authors: Nam H. Kim, Bhavani V. Sankar, Ashok V. Kumar
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