Transcription of Chapter 9 – Axisymmetric Elements - Memphis
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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).
• To review the basic concepts and theory of elasticity equations for axisymmetric behavior. • To derive the axisymmetric element stiffness matrix, body force, and surface traction equations. • To demonstrate the solution of an axisymmetric pressure vessel using the stiffness method. • To compare the finite element solution to an exact
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