Introduction to the Mechanics of Materials General Considerations Fundamental Definitions Subdivisions of the Mechanics of Materials The Stress Tensor General Considerations. Equilibrium Conditions Equilibrium in the Interior of the Body . Equilibrium at the Boundary Stresses in an Inclined Facet Transposition of the Reference Axes . Principal Stresses and Principal Directions The Roots of the Characteristic Equation Orthogonality of the Principal Directions Lamó's Ellipsoid Isotropic and Deviatoric Components Of the Stress'Iensor Octahedral Stresses TrvoDimensional Analysis of the Stress Tensor Stresses on an Inclined Facet Principal Stresses and Directions Mohr's Circle Three-Dimensional Mohr's Circles The Strain Tensor GeneralConsiderations Components of the Strain Tensor Pure Deformation and Rigid Body Motion Equations of Compatibility Deformation in an Arbitrary Direction Volumetric Strain Two-Dimensional Analvsis of the Strain Tensor Components of the Strain Tensor Strainin an Arbitrary Direction Constitutive Law General Considerations Ideal Rheological Behaviour * Physical Models Generalized Hooke's Larv Isotropic Materials Monotropic Materials Isotropic Material with Linear Visco-Elastic Behaviour Newtonian Liquid Deformation Energy General Considerations Superposition of Deformation Energy In the Linear Elastic Case. Deformation Energy in Materials with Linear Elastic Behaviour Yielding and Rupture Laws. General Considerations Yielding Criteria Theory of Maximum Normal Stress Longitudinal Deformation Deformation Energy Shearing Stress Distortion Energy Comparison of Yielding Criteria About the Yielding Theories Mohf's Rupture Theory for Brittle Materials Strength of Materials Fundamental Concepts of Strength of Materials Ductile and Brittle Material Behaviour Stress and Strain Work of Deformation. Resilience and Tenacity High-Strength Steel Fatigue Failure Saint-Venant's Principle Principle of Superposition. Structural Reliability and Safety Uncertainties Affecting the Verification of Structural Reliability Probabilistic Approach Semi-Probabilistic Approach Safety Stresses Slender Members Definition of Slender Member Conservation of Plane Sections Axially Loaded Members Dimensioning of Members Under Axial Loading Axial Deformations Statically lndeterminate Structures Computation of Internal Forces Elasto-Plastic Analysis An Introduction to the Prestressing Technique Composite Members Position of the Stress Resultant Stresses and Strains Caused by the Axial Force Effects of Temperature Variations Non-Prismatic Members Slender Members with Curved Axis Slender Members with Variable Cross-Section Non-Constant Axial Force- Self-Wright Stress Concentrations Bending Moment General Considerations Pure Plane Bending Pure Inclined Bending Composed Circular Bending The Core of a Cross-Section Deformation in the Cross-Section Plane Influece of a Non-Constant Shear Force Non-Frismatic Members Slender Members with Variable Cross-Section Slender Members with Curved Axis Bending of Composite Members Linear Analysis of Symmetrical Reinforced l Concrete Cross-Sections Nonlinear bending Nonlinear Elastic Bending Bending in Elasto-Plastic Regime Ultimate Bending Strength of Reinforced Concrete Members Shear Force General Considerations. 2 The Longitudinal Shear Force. Shearing Stresses Caused by the Shear Force a Rectangular Cross-Sections Symmetrical Cross-Sections Open Thin-Walled Cross-Sections Closed Thin-Walled Cross-Sections Composite Members Non-Principal Reference Axes The Shear Centre Non-Prismatic Members Slender Members with Curved Axis Slender Members with Variable Cross-Section Influence of a Non-Constant Shear Force Stress State in Slender Members Deflections Caused by the Bending Moment Method of Integration of the Curvature Equation The Conjugate Beam Method Moment-Area Method Deflections Caused by the Shear Force Rectangular Cross-Sections Symmetrical Cross-Sections Thin-Walled Cross-Sections Statically Indeterminate FYames Under Bending Equation of Two Moments Equation of Three Moments Elasto-Plastic Analysis Under Bending Torsion Circular Cross-Sections .a Torsion in the Elasto-Plastic Regime Closed Thin-Walled Cross-Sections Applicability of the Bredt Formulas Hydrodynamical Analogy Membrane Analogy Rectangular Cross-Sections Open Thin-Walled Cross-Sections Optimal Shape of Cross-Sections Under Torsion Structural Stability Fundamental Concepts Computation of Critical Loads Post-Critica Behaviour Effect of lmperfections d Effect of Plastification of Deformable Elements. Instability in the Axial Compression of a Prismatic Bar Euler's Problem Prismatic Bars with Other Support Conditions Safety Evaluation of Axially Compressed Members405 Optimal Shape of Axially Compressed Cross-Sections Instability UndeComposeBending Introduction and General Considerations Safety Evaluation Composed Bending with a Tensile Axial Force Stability Analysis by the Displacement Method Flamed Structures Under Bending Stiffness Matrix of a Compressed Bar Stiffness Matrix of a Tensioned Bar of the Stiffness Coefficierfis Energy Theorems General Considerations Elastic Potential Energy in Slender Members Theorems for Structures with Linear Elastic Behaviour Clapeyron's Theorem . Castigliano's Theorem Menabrea's Theorem or Minimum Energy Theorem Betti's Theorem Maxwell's Theorem Theorems of Virtual Displacements and Virtual Forces Theorem of Virtual Displacements Theorem of Virtual Forces Considerations About the Total Potential Energy Definition of Total Potential Energy Principle of Stationarity of the Potential Energy Stability of the Equilibrium Elementary Analysis of lmpact Loads