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.