This comprehensive textbook compiles cutting-edge research on beams and
circular plates, covering theories, analytical solutions, and numerical
solutions of interest to students, researchers, and engineers working in
industry. Detailing both classical and shear deformation theories, the
book provides a complete study of beam and plate theories, their
analytical (exact) solutions, variational solutions, and numerical
solutions using the finite element method.
Beams and plates are some of the most common structural elements used in
many engineering structures. The book details both classical and
advanced (i.e., shear deformation) theories, scaling in complexity to
aid the reader in self-study, or to correspond with a taught course. It
covers topics including equations of elasticity, equations of motion of
the classical and first-order shear deformation theories, and analytical
solutions for bending, buckling, and natural vibration. Additionally, it
details static as well as transient response based on exact, the Navier,
and variational solution approaches for beams and axisymmetric circular
plates, and has dedicated chapters on linear and nonlinear finite
element analysis of beams and circular plates.
Theories and Analyses of Beams and Axisymmetric Circular Plates will be
of interest to aerospace, civil, materials, and mechanical engineers,
alongside students and researchers in solid and structural mechanics.
