The figure below shows a 4node quadrilateral element in parametric space and in real space where two
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The figure below shows a 4node quadrilateral element in parametric space and in real space where two of the nodes are collapsed or merged to form a triangle.
a. Determine the mapping functions \(x(s, t)\) and \(y(s, t)\).
b. The displacement at the nodes of the element are found to be: \(\left\{u_{1}, v_{1}, u_{2}, v_{2}, u_{3}, v_{3}\right\}=\) \(\{1,0,0,2,0,0\} \times 10^{-3}\) in. Compute the displacement field \(u(s, t)\) and \(v(s, t)\).
c. Compute the Jacobian matrix.
d. Compute the strain in the element. Is this is a constant strain element?
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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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