Structural Analysis; Preface; Contents; Part I Basic tools and concepts; 1 Basic equations of linear elasticity; 1.1 The concept of stress; 1.2 Analysis of the state of stress at a point; 1.3 The state of plane stress; 1.4 The concept of strain; 1.5 Analysis of the state of strain at a point; 1.6 The state of plane strain; 1.7 Measurement of strains; 1.8 Strain compatibility equations; 2 Constitutive behavior of materials; 2.1 Constitutive laws for isotropic materials; 2.2 Allowable stress; 2.3 Yielding under combined loading; 2.4 Material selection for structural performance.
Text of Note
2.5 Composite materials2.6 Constitutive laws for anisotropic materials; 2.7 Strength of a transversely isotropic lamina; 3 Linear elasticity solutions; 3.1 Solution procedures; 3.2 Plane strain problems; 3.3 Plane stress problems; 3.4 Plane strain and plane stress in polar coordinates; 3.5 Problem featuring cylindrical symmetry; 4 Engineering structural analysis; 4.1 Solution approaches; 4.2 Bar under constant axial force; 4.3 Hyperstatic systems; 4.4 Pressure vessels; 4.5 Saint-Venant's principle; Part II Beams and thin-wall structures; 5 Euler-Bernoulli beam theory.
Text of Note
5.1 The Euler-Bernoulli assumptions5.2 Implications of the Euler-Bernoulli assumptions; 5.3 Stress resultants; 5.4 Beams subjected to axial loads; 5.5 Beams subjected to transverse loads; 5.6 Beams subjected to combined axial and transverse loads; 6 Three-dimensional beam theory; 6.1 Kinematic description; 6.2 Sectional constitutive law; 6.3 Sectional equilibrium equations; 6.4 Governing equations; 6.5 Decoupling the three-dimensional problem; 6.6 The principal centroidal axes of bending; 6.7 The neutral axis; 6.8 Evaluation of sectional stiffnesses.
Text of Note
6.9 Summary of three-dimensional beam theory6.10 Problems; 7 Torsion; 7.1 Torsion of circular cylinders; 7.2 Torsion combined with axial force and bending moments; 7.3 Torsion of bars with arbitrary cross-sections; 7.4 Torsion of a thin rectangular cross-section; 7.5 Torsion of thin-walled open sections; 8 Thin-walled beams; 8.1 Basic equations for thin-walled beams.; 8.2 Bending of thin-walled beams; 8.3 Shearing of thin-walled beams; 8.4 The shear center; 8.5 Torsion of thin-walled beams; 8.6 Coupled bending-torsion problems; 8.7 Warping of thin-walled beams under torsion.
Text of Note
8.8 Equivalence of the shear and twist centers8.9 Non-uniform torsion; 8.10 Structural idealization; Part III Energy and variational methods; 9 Virtual work principles; 9.1 Introduction; 9.2 Equilibrium and work fundamentals; 9.3 Principle of virtual work; 9.4 Principle of virtual work applied to mechanical systems; 9.5 Principle of virtual work applied to truss structures; 9.6 Principle of complementary virtual work; 9.7 Internal virtual work in beams and solids; 9.8 Application of the unit load method to hyperstatic problems; 10 Energy methods; 10.1 Conservative forces.
0
8
8
8
8
SUMMARY OR ABSTRACT
Text of Note
The authors and their colleagues developed this text over many years, teaching undergraduate and graduate courses in structural analysis courses at the Daniel Guggenheim School of Aerospace Engineering of the Georgia Institute of Technology. The emphasis is on clarity and unity in the presentation of basic structural analysis concepts and methods. The equations of linear elasticity and basic constitutive behaviour of isotropic and composite materials are reviewed. The text focuses on the analysis of practical structural components including bars, beams, and plates. Particular attention is devoted to the analysis of thin-walled beams under bending, shearing, and torsion. Advanced topics such as warping, non-uniform torsion, shear deformations, thermal effect and plastic deformations are addressed. A unified treatment of work and energy principles is provided that naturally leads to an examination of approximate analysis methods including an introduction to matrix and finite element methods. This teaching tool based on practical situations and thorough methodology should prove valuable to both lecturers and students of structural analysis in engineering worldwide.