Mechanics and Strength of Materials by Vitor Silva

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Mechanics and Strength of Materials by Vitor Silva

PDF Free Download | Mechanics and Strength of Materials by Vitor Dias da Silva

Contents of Mechanics and Strength of Materials

  • Part I Introduction to the Mechanics of Materials
  • Introduction
  • General Considerations
  • Fundamental Definitions
  • Subdivisions of the Mechanics of Materials
  • The Stress Tensor
  • Introduction
  • 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
  • Lam´e’s Ellipsoid
  • Isotropic and Deviatoric Components of the Stress Tensor
  • Octahedral Stresses
  • Two-Dimensional Analysis of the Stress Tensor
  • Stresses on an Inclined Facet
  • Principal Stresses and Directions
  • Mohr’s Circle
  • Three-Dimensional Mohr’s Circles
  • Conclusions
  • Examples and Exercises
  • The Strain Tensor
  • Introduction
  • General Considerations
  • Components of the Strain Tensor
  • Pure Deformation and Rigid Body Motion
  • Equations of Compatibility
  • Deformation in an Arbitrary Direction
  • Volumetric Strain
  • Two-Dimensional Analysis of the Strain Tensor
  • Introduction
  • Components of the Strain Tensor
  • Strain in an Arbitrary Direction
  • Conclusions
  • Examples and Exercises
  • Constitutive Law
  • Introduction
  • General Considerations
  • Ideal Rheological Behaviour – Physical Models
  • Generalized Hooke’s Law
  • Introduction
  • Isotropic Materials
  • Monotropic Materials
  • Orthotropic 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
  • Theory of Maximum Longitudinal Deformation
  • Theory of Maximum Deformation Energy
  • Theory of Maximum Shearing Stress
  • Theory of Maximum Distortion Energy
  • Comparison of Yielding Criteria
  • Conclusions About the Yielding Theories
  • Mohr’s Rupture Theory for Brittle Materials
  • Concluding Remarks
  • Examples and Exercises
  • Part II 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
  • Introduction
  • Dimensioning of Members Under Axial Loading
  • Axial Deformations
  • 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-Weight
  • Stress Concentrations
  • Examples and Exercises
  • 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
  • Influence of a Non-Constant Shear Force
  • Non-Prismatic Members
  • Slender Members with Variable Cross-Section
  • Slender Members with Curved Axis
  • Bending of Composite Members
  • a Linear Analysis of Symmetrical Reinforced
  • Concrete Cross-Sections
  • Nonlinear bending
  • Deflections Caused by the Shear Force
  • Introduction
  • Rectangular Cross-Sections
  • Symmetrical Cross-Sections
  • Thin-Walled Cross-Sections
  • Statically Indeterminate Frames Under Bending
  • Equation of Two Moments
  • Equation of Three Moments
  • Elasto-Plastic Analysis Under Bending
  • Examples and Exercises
  • Torsion
  • Introduction
  • Circular Cross-Sections
  • Torsion in the Elasto-Plastic Regime
  • Closed Thin-Walled Cross-Sections
  • Applicability of the Bredt Formulas
  • General Case
  • Introduction
  • Hydrodynamical Analogy
  • Membrane Analogy
  • Rectangular Cross-Sections
  • Open Thin-Walled Cross-Sections
  • Optimal Shape of Cross-Sections Under Torsion
  • Examples and Exercises
  • Structural Stability
  • Introduction
  • Fundamental Concepts
  • Computation of Critical Loads
  • Post-Critical Behaviour
  • Effect of Imperfections
  • 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 Members
  • Optimal Shape of Axially Compressed
  • Cross-Sections
  • Instability Under Composed Bending
  • Introduction and General Considerations
  • Safety Evaluation
  • Composed Bending with a Tensile Axial Force
  • Examples and Exercises
  • Stability Analysis by the Displacement Method
  • Introduction
  • Simple Examples
  • Framed Structures Under Bending
  • Stiffness Matrix of a Compressed Bar
  • Stiffness Matrix of a Tensioned Bar
  • Linearization of the Stiffness Coefficients
  • Examples of Application
  • 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 Impact Loads
  • Examples and Exercises

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