Transcription of Chapter 10 – Isoparametric Elements - Memphis
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Chapter 10 – Isoparametric Elements - Memphis
Chapter 10 Isoparametric ElementsLearning Objectives To formulate the Isoparametric formulation of thebar element stiffness matrix To present the Isoparametric formulation of theplane four-noded quadrilateral (Q4) elementstiffness matrix To describe two methods for numericalintegration Newton-Cotes and GaussianQuadrature used for evaluation of definiteintegrals To solve an explicit example showing theevaluation of the stiffness matrix for the planequadrilateral element by the four-point Gaussianquadrature ruleChapter 10 Isoparametric ElementsLearning Objectives To illustrate by example how to evaluate thestresses at a given point in a plane quadrilateralelement using Gaussian quadrature To evaluate the stiffness matrix of the
The physical interpretation of the results for {fb} is that since AL represents the volume of the element and Xb the body force per unit volume, then ALXb is the total body force acting on the element. The factor ½ indicates that this body force is equally distributed to the two nodes of the element. 1 1 1 2 12 2 s L fA X ds s
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