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Fundamentals of Finite Element Analysis


Chapter 1 is a general introduction to the nite element method and in-cludes a description of the basic concept of dividing a domain into nite-sizesubdomains.
Chapter 2 introduces the concept of a nite element stiffness matrix and associated displacement equation, in terms of interpolation functions, using thelinear spring as a nite element.
Chapter 3 uses the bar element of Chapter 2 to illustrate assembly of global equilibrium equations for a structure composed of many nite elements.
Chapter 4 introduces the beam/exure element as a bridge to continuityrequirements for higher-order elements.
Chapter 5 is the springboard to more advanced concepts of nite elementanalysis.
Chapter 6 is a stand-alone description of the requirements of interpolation functions used in developing nite element models for any physical problem.Continuity and completeness requirements are delineated.
Chapter 7 uses Galerkin’s nite element method to develop the nite ele-ment equations for several commonly encountered situations in heat transfer.
One-, two- and three-dimensional formulations are discussed for conduction and convection.
Chapter 8 introduces nite element applications to uid mechanics.
Chapter 9 applies the nite element method to problems in solid mechanics with the proviso that the material response is linearly elastic and small deection.
Chapter 10 introduces the concept of dynamic motion of structures. It is not presumed that the student has taken a course in mechanical vibrations; as a re-sult, this chapter includes a primer on basic vibration theory.
FINITE is difficult, but it is exaclly for real math.

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