The book "Energy Principles and Variational Methods in Applied Mechanics" by J. N. Reddy is a comprehensive resource for senior undergraduate and beginning graduate students in aerospace, civil, and mechanical engineering, as well as applied mechanics. It covers the fundamental concepts and applications of energy principles and variational methods in solving mechanical problems. The book is organized into 10 chapters, each focusing on different aspects of the subject: 1. **Introduction**: Provides an overview of variational principles and their importance. 2. **Mathematical Preliminaries**: Reviews vector and tensor algebra, and basic equations of linear solid continuum mechanics. 3. **Review of Equations of Solid Mechanics**: Discusses conservation laws, kinematics, and constitutive equations. 4. **Work, Energy, and Variational Calculus**: Introduces concepts of work, energy, virtual work, and variational calculus. 5. **Energy Principles of Structural Mechanics**: Explains virtual work principles, total potential energy, and Castigliano's theorems. 6. **Dynamical Systems: Hamilton's Principle**: Covers Hamilton's principle for particles, rigid bodies, and continua. 7. **Direct Variational Methods**: Discusses Ritz and Galerkin methods, weighted residual methods, and boundary-value problems. 8. **Theory and Analysis of Plates**: Focuses on classical and shear deformation plate theories, including exact and variational solutions. 9. **The Finite Element Method**: Introduces finite element analysis for beams, Euler-Bernoulli and Timoshenko beams, and plates. 10. **Mixed Variational Formulations**: Discusses mixed variational principles and their applications in beam and plate theories. Each chapter includes example problems, exercises, and references to enhance understanding and practical application. The book aims to bridge the gap between theoretical concepts and real-world engineering problems, making it a valuable resource for students and professionals in the field.The book "Energy Principles and Variational Methods in Applied Mechanics" by J. N. Reddy is a comprehensive resource for senior undergraduate and beginning graduate students in aerospace, civil, and mechanical engineering, as well as applied mechanics. It covers the fundamental concepts and applications of energy principles and variational methods in solving mechanical problems. The book is organized into 10 chapters, each focusing on different aspects of the subject: 1. **Introduction**: Provides an overview of variational principles and their importance. 2. **Mathematical Preliminaries**: Reviews vector and tensor algebra, and basic equations of linear solid continuum mechanics. 3. **Review of Equations of Solid Mechanics**: Discusses conservation laws, kinematics, and constitutive equations. 4. **Work, Energy, and Variational Calculus**: Introduces concepts of work, energy, virtual work, and variational calculus. 5. **Energy Principles of Structural Mechanics**: Explains virtual work principles, total potential energy, and Castigliano's theorems. 6. **Dynamical Systems: Hamilton's Principle**: Covers Hamilton's principle for particles, rigid bodies, and continua. 7. **Direct Variational Methods**: Discusses Ritz and Galerkin methods, weighted residual methods, and boundary-value problems. 8. **Theory and Analysis of Plates**: Focuses on classical and shear deformation plate theories, including exact and variational solutions. 9. **The Finite Element Method**: Introduces finite element analysis for beams, Euler-Bernoulli and Timoshenko beams, and plates. 10. **Mixed Variational Formulations**: Discusses mixed variational principles and their applications in beam and plate theories. Each chapter includes example problems, exercises, and references to enhance understanding and practical application. The book aims to bridge the gap between theoretical concepts and real-world engineering problems, making it a valuable resource for students and professionals in the field.