Consider a finite element with three nodes, as shown in the figure. When the solution is approximated
Question:
Consider a finite element with three nodes, as shown in the figure. When the solution is approximated using \(u(x)=N_{1}(x) u_{1}+N_{2}(x) u_{2}+N_{3}(x) u_{3}\),
a. calculate the interpolation functions \(N_{1}(x), N_{2}(x)\), and \(N_{3}(x)\) if it is intended to obtain the displacement field in the following form: \(u(x)=c_{0}+c_{1} \sqrt{x}+c_{2} x\); and
b. when the nodal displacements are given as: \(u_{1}=0, u_{2}=0.5\), and \(u_{3}=1\), sketch the function \(u(x)\).
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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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