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  • Structural Dynamics
    • Introduction & Units
    • Forces in Mechanics of Materials
    • Concentrated Forces
    • Moment of a Concentrated Force
    • Distributed Forces—Force and Moment Resultants
    • Internal Forces and Stresses—Stress Resultants
    • Free Body Diagrams
    • Equilibrium—Concentrated Forces
    • Equilibrium—Distributed Forces
    • Equilibrium—Internal Forces and Stresses
    • Displacement and Strain
    • Hooke’s Law in One Dimension—Tension
    • Poisson’s Ratio
    • Hooke’s Law in one & Two Dimensions for Isotropic Materials
    • Analysis and Design of Pin-jointed Trusses
    • Torsional Displacement, Strain, and Stress
    • Derivation and Solution of the Governing Equations
    • Solutions from the Theory of Elasticity
    • Torsional Stress in Thin Walled Cross Sections
    • Torsional Stress and Stiffness in Multicell Sections
    • Torsional Stress and Displacement in ThinWalled Open Sections

  • Forces and Moments
    • Thermal Strain
    • Fiber Reinforced Composite Laminates
    • Solutions from the Theory of Elasticity
    • Derivation and Solution of the Governing Equations
    • The Statically Determinate Case
    • The Statically Indeterminate Case
    • Variable Cross Sections
    • Thermal Stress and Strain in an Axially Loaded Bar
    • Shearing Stress in an Axially Loaded Bar
    • Analysis and Design of Pin Jointed Trusses
    • Work and Energy—Castigliano’s Second Theorem
    • Summary and Conclusions
    • Nodes, Elements, Shape Functions, and the Element Stiffness Matrix
    • A General Method—Distributed Applied Loads

  • A General Method for the Axially Loaded Slender Bar
    • A General (Finite Element) Method
    • Continuously Variable Cross Sections
    • Area Properties—Sign Conventions
    • Derivation and Solution of the Governing Equations
    • The Statically Determinate Case
    • Work and Energy—Castigliano’s Second Theorem
    • The Statically Indeterminate Case
    • The Governing Equations in Two Dimensions—Plane Stress
    • Solutions from the Theory of Elasticity
    • Variable Cross Sections
    • Shear Stress in Non Rectangular Cross Sections—Thin Walled Cross Sections
    • Design of Beams
    • Large Displacements
    • Nodes, Elements, Shape Functions, and the Element Stiffness Matrix
    • The Global Equations and their Solution
    • Distributed Loads in FEM
    • Summary and conclusions

  • Classical Analysis of the Bending of Beams
    • Transformation of Stress in Two Dimensions
    • Principal Axes and Principal Stresses in Two Dimensions
    • Transformation of Strain in Two Dimensions
    • Strain Rosettes
    • Stress Transformation and Principal Stresses in Three Dimensions
    • Allowable and Ultimate Stress, and Factors of Safety
    • Fatigue
    • Orthotropic Materials—Composites
    • Review and Summary of Slender Bar Equations
    • Torsional Loading
    • Bending in One Plane
    • Bending in Two Planes-When Iyz is Equal to Zero
    • Bending in Two Planes-When Iyz is Not Equal to Zero
    • Introduction
    • Bending and Torsion in Thin Walled Open Sections—Shear Center
    • Bending and Torsion in Thin Walled Closed Sections—Shear Center
    • Stiffened ThinWalled Beams

  • Structural Analysis in Two and Three Dimensions
    • Introduction to the Principle of Virtual Work
    • Static Analysis of Slender Bars by Virtual Work
    • Static Analysis of 3D and 2D Solids by Virtual Work
    • Thin Flat Plates—Classical Analysis
    • The Element Stiffness Matrix for Plane Stress
    • Thin Flat Plates—FEM Analysis
    • The Element Stiffness Matrix for 3D Solids
    • Three Dimensional Structures—Classical and FEM Analysis
    • Introduction to Classical Lamination Theory
    • Strain Displacement Equations for Laminates
    • Stress-Strain Relations for a Single Lamina
    • Stress Resultants for Laminates
    • CLT Constitutive Description
    • Determining Laminae Stress/Strains
    • Laminated Plates Subject to Transverse Loads
    • The Equations for a Beam with Combined Lateral and Axial Loading
    • Dynamics of Mass/Spring Systems
    • Evolution in the (Intelligent) Design and Analysis of Structural Members
    • Area Properties of Cross Sections
    • Orthogonality of Normal Modes

Branch : Civil Engineering | Subject : Structure Analysis -1
Structural Dynamics
  • Introduction & Units

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  • Forces in Mechanics of Materials

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  • Concentrated Forces

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  • Moment of a Concentrated Force

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  • Distributed Forces—Force and Moment Resultants

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  • Internal Forces and Stresses—Stress Resultants

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  • Free Body Diagrams

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  • Equilibrium—Concentrated Forces

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  • Equilibrium—Distributed Forces

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  • Equilibrium—Internal Forces and Stresses

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  • Displacement and Strain

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  • Hooke’s Law in One Dimension—Tension

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  • Poisson’s Ratio

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  • Hooke’s Law in one & Two Dimensions for Isotropic Materials

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  • Analysis and Design of Pin-jointed Trusses

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  • Torsional Displacement, Strain, and Stress

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  • Derivation and Solution of the Governing Equations

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  • Solutions from the Theory of Elasticity

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  • Torsional Stress in Thin Walled Cross Sections

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  • Torsional Stress and Stiffness in Multicell Sections

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  • Torsional Stress and Displacement in ThinWalled Open Sections

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