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.
Table of Contents
1. Mechanics Preliminaries. 2. Energy Principles and Variational Methods. 3. The Classical Beam Theory. 4. The First-Order Shear Deformation Beam Theory. 5. Third-Order Beam Theories. 6. Classical Theory of Circular Plates. 7. First-Order Theory of Circular Plates. 8. Third-Order Theory of Circular Plates. 9. Finite Element Analysis of Beams. 10. Finite Element Analysis of Circular Plates.
J. N. Reddy, the O'Donnell Foundation Chair IV Professor in J. MikeWalker '66 Department of Mechanical Engineering at Texas A&M University, is a highly-cited researcher, author of 24 textbooks and over 750 journal papers, and a leader in the applied mechanics field for more nearly 50 years. He is known worldwide for his significant contributions to the field of applied mechanics through the authorship of widely used textbooks on mechanics of materials, continuum mechanics, linear and nonlinear finite element analyses, energy principles and variational methods, and composite materials and structures. His pioneering works on the development of shear deformation theories of beams, plates, and shells (that bear his name in the literature as the Reddy third-order plate theory and the Reddy layerwise theory), nonlocal and non-classical continuum mechanics have had a major impact, and have led to new research developments and applications.