Structural and Stress Analysis Theories, Tutorials and Examples, Second Edition

New Edition Now Covers Thin Plates, Plastic Deformation, Dynamics and Vibration Structural and stress analysis is a core topic in a range of engineering disciplines – from structural engineering through to mechanical and aeronautical engineering and materials science. Structural and Stress Analysis: Theories, Tutorials and Examples, Second Editionprovides and supports a conceptual understanding of the theories and formulae, and focuses on the basic principles rather than on the formulae and the solution procedures. It emphasizes problem solving through a structured series of tutorials and problems which build up students’ understanding and encourage both numerical and conceptual approaches. It stands apart from other texts which set out rigorous mathematic derivations of formulae followed by worked examples and questions for practice. Students need to be capable of not only solving a structural problem using formulas, but also of understanding their solutions in practical and physical terms. Notwithstanding, the book covers a good range of topics: tension and compression; shear; torsion; bending, properties of cross-sections; shear force and bending moment diagrams; stresses in beams; deflection of beams; complex stresses and theories of elastic failure; energy methods; statically indeterminate systems; and structural instability. The new edition includes more topics, such as plastic deformation, dynamics and introduction to the thin plate theory, which are essential when students start their design courses. Structural and Stress Analysis: Theories, Tutorials and Examples, Second Editionnot only suits undergraduates but is useful for professional engineers who want to get a good grasp of the basic concepts of stress analysis.

Introduction Force and moment Types of force and deformation Equilibrium system Stresses Strains Strain–stress relation Generalised Hooke’s law Strength, stiffness and failure Key points review Basic approach for structural analysis Examples Conceptual questions Mini test Axial tension and compression Sign convention Normal (direct) stress Stresses on an arbitrarily inclined plane Deformation of axially loaded members Statically indeterminate axial deformation Elastic strain energy of an axially loaded member Saint-Venant’s principle and stress concentration Stress caused by temperature Key points review Recommended procedure of solution Examples Conceptual questions Mini test Torsion Sign convention Shear stress Angle of twist Torsion of rotating shafts Key points review Recommended procedure of solution Examples Conceptual questions Mini test Shear and bending moment Definition of beam Shear force and bending moment Beam supports Sign convention Relationships between bending moment, shear force and applied load Shear force and bending moment diagrams Key points review Recommended procedure of solution Examples Conceptual questions Mini test Bending stresses in symmetric beams Elastic normal stresses in beams Calculation of second moment of area Shear stresses in beams Plastic deformation of beams Key points review Recommended procedure of solution Examples Conceptual questions Mini test Deflection of beams under bending Sign convention Equation of beam deflection Key points review Examples Conceptual questions Mini test Complex stresses Two-dimensional state of stress Key points review Examples Conceptual questions Mini test Complex strains and strain gauges Strain analysis Strain measurement by strain gauges Key points review Examples Conceptual questions Mini test Theories of elastic failure Maximum principal stress criterion Maximum shear stress criterion (Tresca theory) Distortional energy density (von Mises theory) criterion Special forms of Tresca and von Mises criterions Key points review Recommended procedure of solution Examples Conceptual questions Mini test Buckling of columns Euler formulas for columns Limitations of Euler formulas Key points review Examples Conceptual questions Mini test Energy method Work and strain energy Solutions based on energy method Virtual work and the principle of virtual work Key points review Examples Conceptual questions Mini test Bending of thin plates Thin plate theory Comparisons of bending of beams and bending of thin plates Commonly used support conditions Key points review Examples Conceptual questions Mini test Impact loads and vibration Impact load Vibration Key points review Summary of the solutions Examples Conceptual questions Mini test

Jianqiao Ye is professor of mechanical engineering at Lancaster University, UK, and a fellow of the Institution of Mechanical Engineers. He is former reader in structural and materials modeling at the School of Civil Engineering in the University of Leeds and he has worked as a university lecturer for about thirty years. His research and teaching are concerned primarily with the mathematical and computer modeling of structures and materials.