Mechanics of Solids and Structures

TLDR: In this article, the authors present a simulation of the impact of material properties on the bending of beams in an engineering system and apply it to the case of thin shells and disks.

Abstract: Introduction Modeling of Engineering Systems Review of Statics Concepts of Stress and Strain Influence of Material Properties Principles of Mechanics of Solids Use of Numerical Methods and Computers Statically Determinate Systems Pin-Jointed Structures Uniformly Loaded Thin Shells Flexible Cables Relationships between Stress and Strain Hydrostatic Stress and Volumetric Strain Elastic Stress-Strain Equations Other Stress-Strain Relationships Deformations of Statically Determinate Systems Statically Indeterminate Systems Pin-Jointed Structures Other Statically Indeterminate Systems Bending of Beams: Moments, Forces, and Stresses Some Practical Examples of Beams Shear Forces and Bending Moments in Beams Stresses Due To Bending Combined Bending and Axial Loads Bending of Beams-Deflections Relationship between Curvature and Bending Moment Deflection of Statically Determinate Beams Deflection of Statically Indeterminate Beams Computer Method for Beam Deflections Torsion Torsion of Shafts Statically Determinate Torsion Problems Statically Indeterminate Torsion Problems Combined Bending and Torsion Instability and the Buckling of Struts and Columns Stable, Neutral, and Unstable Equilibrium Buckling of Pin-Ended Struts Struts and Columns with Other End Conditions Transformations of Stress and Strain Transformation of Stress Transformation of Strain Computer Method for Stresses and Strains at a Point Yield and Fracture Criteria Equilibrium and Compatibility Equations: Beams and Thick-Walled Cylinders Stress Equilibrium Equations Strain Compatibility Equations Application to Beam Bending Application to Thick-Walled Cylinders and Disks Energy Methods of Structural Mechanics Concepts of Work and Energy Strain Energy and Complementary Strain Energy Virtual Work and Complementary Virtual Work Variational Operator and Fundamental Lemma The Principle of Virtual Displacements and its Special Cases The Principle of Virtual Forces and its Special Cases Appendices Appendix A: Properties of Materials Appendix B: Moments of Area Appendix D: Deflections and Slopes for Some Common Cases of the Bending of Uniform Beams Index