A sixnode finite element as shown in the figure is used for approximating the beam problem. a.

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A sixnode finite element as shown in the figure is used for approximating the beam problem.

a. Write the expressions of displacements $u(x, y)$ and $v(x, y)$ in terms of polynomials with unknown coefficients. For example, $u(x, y)=a_{0}+a_{1} x+\cdots$.

b. Can this element represent the pure bending problem accurately? Explain your answer. A bending moment $M$ is applied to the edge 2-3.

c. Can this element represent a uniformly distributed load problem accurately? The distributed load $q$ is applied along the edge 4-6-3.

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Introduction To Finite Element Analysis And Design

ISBN: 9781119078722

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Authors: Nam H. Kim, Bhavani V. Sankar, Ashok V. Kumar

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Question Posted: Mar 19, 2024 05:49 AM

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A sixnode finite element as shown in the figure is used for approximating the beam problem. a.

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y 4 6 3 5 2 X

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Introduction To Finite Element Analysis And Design

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