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).
This element is quite useful when symmetry with respect to geometry and loading exists about an axis of the body being analyzed. Problems that involve soil masses subjected to circular footing loads or thick-walled pressure vessels can often be analyzed using the element developed in this chapter. CIVL 7/8117 Chapter 9 - Axisymmetric Elements 1/66
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