Transcription of Chapter 9 – Axisymmetric Elements - Memphis
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Chapter 9 – Axisymmetric Elements - Memphis
Chapter 9 Axisymmetric ElementsLearning Objectives To review the basic concepts and theory ofelasticity equations for Axisymmetric behavior. To derive the Axisymmetric element stiffnessmatrix, body force, and surface traction equations. To demonstrate the solution of an axisymmetricpressure vessel using the stiffness method. To compare the finite element solution to an exactsolution for a cylindrical pressure vessel. To illustrate some practical applications ofaxisymmetric ElementsIntroductionIn previous chapters, we have been concerned with line or one-dimensional Elements (Chapters 2 through 5) and two-dimensional Elements (Chapters 6 through 8).
In this section, we will derive the stiffness matrix and the body and surface force matrices for the axisymmetric element. However, before the development, we will first present some fundamental concepts prerequisite to the understanding of the derivation. CIVL 7/8117 Chapter 9 - Axisymmetric Elements 2/66
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