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

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

Biography

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.

"Very well organized. Comprehensive on the topics that relate to stress analysis and structures."
—Zakaria Abdallah, Swansea University, UK