This authoritative and thoroughly revised, classic Mechanical Engineering textbook offers a broad-based overview and applications of the finite element method. This revision updates and expands the already large number of problems and worked-out examples and brings the technical coverage in line with current practices. Readers will get details on non-traditional applications in bioengineering, fluid, and thermal sciences, in addition to solid and structural mechanics. Written by a recognized Mechanical Engineering expert, an introduction to the finite element method, fourth edition, teaches, step-by-step, how to determine numerical solutions to Equilibrium as well as time-dependent problems from fluid and thermal sciences and structural mechanics. Beginning with differential equations, the book presents a self-contained approach to the construction of weak forms, interpolation theory, finite element equations and their solution, and Computer implementation. The author provides a solutions manual as well as computer programs that are available for download. \nHighlights: \n1. Features updated problems and fully worked-out solutions \n2. Contains downloadable programs that can be applied and extended to real-world situations \n3. Written by a highly-cited Mechanical Engineering researcher and well-respected author of textbooks.