1. (a) X { }=-1 Figure Q1: 3 node, one dimensional element. For a 3 node,...
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1. (a) X { }=-1 Figure Q1: 3 node, one dimensional element. For a 3 node, ID isoparametric element shown in Figure Q1; (i) Evaluate the Jacobian J (ii) (iii) Where the shape function is: From the shape functions find the strain displacement matrix [B] Hence show how the stiffness matrix [K] can be found. }=1 [M]=[-5+ 5+ 1-2] 2 2 J Eq. la & lb dx de Note: it is assumed that the interior node is not necessarily located at the element centre. 1. (a) X { }=-1 Figure Q1: 3 node, one dimensional element. For a 3 node, ID isoparametric element shown in Figure Q1; (i) Evaluate the Jacobian J (ii) (iii) Where the shape function is: From the shape functions find the strain displacement matrix [B] Hence show how the stiffness matrix [K] can be found. }=1 [M]=[-5+ 5+ 1-2] 2 2 J Eq. la & lb dx de Note: it is assumed that the interior node is not necessarily located at the element centre.
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Solutions Step 1 Evaluation of the Jacobian J From the shape functions given in the question we can write the partial derivatives as J N1x1 N1x2 N1x3 ... View the full answer
Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
Posted Date:
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