A first course in the finite element method /
Logan, Daryl L.
Chaudhry, K. K.
Singh, Prahlad.
Australia ; United Kingdom : Cengage Learning,
c2011.
"SI edition".
Includes bibliographical references and index.
1. Introduction -- General steps of the finiten element method -- 2. Introduction to the stiffness (displacement) method -- Derivation of the stiffness matrix for a spring element -- Boundary conditions -- Potential energy approach to derive spring element equations -- 3. Development of truss equations -- Derivation of the stiffness natrix for a bar element in local conditions -- Solution of a plane truss -- Transformation matrix and stiffness matrix for a bar in three-dimensional space -- Inclined, or skewed, supports -- Potential energy approach to derive bar element equations -- Other residual methods and their application to a one-dimensional bar problem -- 4. Development of beam equations -- Beam stiffness -- Examples of beam analysis using the direct stiffness method -- Distributed loading -- Comparison of the finite element solution to the exact solution for a beam -- Beam element with nodal hinge.
Finite element method.