This textbook for advanced students in aerospace, mechanical, and civil engineering sets out the underlying concepts, methods, and theories with mathematical rigour covering Newtonian and Lagrangean methods to formulate finite elements and other discrete approximations, with application to a range of structural and mechanical components.
Engineering Mechanics of Solids and Structures is essential for self-study and reference, setting out the underlying mechanical concepts, methods, and theories, applicable to a broad spectrum of structural and mechanical components – relevant to the analysis and design of a dome-like structure or a suspension bridge, the hull of a ship or a spacecraft, the mechanical component of an engine, or the power train of a vehicle. The principles are given thorough mathematical treatment, which demonstrates the limitations of the approximations and provides the tools for more precise analyses, then less mathematics is needed to show the behavior of simple structural components.
This textbook covers both the Lagrangian and Newtonian approaches to the conditions of motion and equilibrium, offering the Lagrangean criteria of work and energy as the most effective means to formulate finite elements and other discrete approximations, which are amenable to digital computation. This gives advanced students in aerospace, mechanical, and civil engineering a solid foundation for the analysis and approximation of engineering problems, presented in a form that is both mathematically rigorous and physically meaningful.
1. Introduction,
2. Deformation,
3. Internal Forces, Stresses and
Equilibrium,
4. Thermodynamical Behavior of Materials,
5. Fundamental
Applications,
6. Bending of Symmetric Beams,
7. Combined Loads;
Superposition,
8. Extension and Flexure of Thin Plates,
9. Work, Energy, and
Stability,
10. Discrete Approximation via "Finite Elements"
Gerald Wempner held faculty positions at five major US state universities: Illinois, Arizona, Berkeley, Alabama, and Georgia Tech. He made seminal contributions to engineering mechanics, notably identifying shear locking in finite element formulations for thin shells, introducing a discrete analog of Kirchoff's hypothesis, and developing the generalized arc method for non-linear structural analysis. He passed away in 2024.
Abdul-Hamid Zureick is professor of Structural Engineering, Mechanics, and Materials in the School of Civil and Environmental Engineering at Georgia Tech. He received the Norman Medal of the American Society of Civil Engineers in 1989.
