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  • Plastic analysis of structures
    • Development of Plastic Analysis
    • Moment-Rotation Characteristics of General Cross Section
    • Analysis of Rectangular Cross Section
    • Shape Factor
    • Formation of Hinges for Collapse
    • Plastic Hinge Development
    • Important Definitions
    • Virtual Work in Plastic Analysis
    • Theorems of Plastic Analysis
    • Plastic Hinge Under the Load
    • Plastic Design
    • Summary of Important Points
    • INTRODUCTION OF FINITE ELEMENT ANALYSIS
    • Angle Under Shear Loading
    • Angle Under Axial Tensile Loading
    • FEM formulation for a linear differential equation
    • Formulation for plane stress and plane strain
    • RITZ–GALERKIN METHODS FOR LINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS
    • Ritz–Galerkin methods
    • Elliptic regularity
    • Triangulations and finite element spaces
    • Element nodal interpolation operators and interpolation error estimates
    • Seven Steps in the Finite Element Method
    • Illustration of the FEM theory with the 2 nodes bar element.
    • Local axes – Global axes – Transformation Matrix
    • The 2-nodes Beam Element
    • Simplified Bernoulli-Euler Beam Element.
    • Dimensional Reduction
    • 2D Finite Elements
    • Combination of element types
    • Membrane Elements
    • The Six Nodes Triangle Membrane Element T6

  • Kinematic Indeterminancy: Stiffness method
    • Introductin of Matrix Stiffness Method
    • Computer Programs to Support Learning
    • Basic Approach
    • Assemblies of Elements
    • General Methodology
    • Matlab Program – Element Contribution
    • Interpretation of Stiffness Matrix
    • Restricting a Matrix – Imposing Restraints
    • Introduction of Plane Trusses
    • Matlab Program – Data Entry
    • Truss Element Stiffness Matrix
    • Element Forces
    • Plane Frame Element Stiffness Matrix
    • Transformation to Global Coordinates
    • Inter-nodal Loads

  • Arches and curvred structures
    • Introduction of Suspension Bridges
    • Structural System
    • Design of suspension bridge
    • Wind-Resistant Design
    • Design of Cable Section
    • Field Measurement and Coatings
    • Introduction of Stiffening Girder
    • Design of Girder End
    • Fabrication Technology
    • Erection Technology
    • All-Hinge Erection Method
    • Moment-shear interaction of longitudinally stiffened girders
    • EUROCODE DESIGN PROVISONS
    • FINITE ELEMENT MODELING
    • NON-LINEAR FINITE ELEMENT STUDY
    • Alternative Form of Slope-deflection Equations
    • Sign Convention
    • Computation of Fixed-end Moments
    • Slope-deflection Equations for Special Members
    • Slope-deflection Equations for Special Members
    • Symmetric member and Anti-symmetric member
    • Analysis of Structures by Slope-deflection Equations
    • End rotations and sway angle of members
    • Determination of sway angle by instantaneous center of rotations (ICR)
    • Set up equilibrium equations
    • Equilibrium equations associated with sway degrees of freedom
    • Equilibrium equations associated with sway degrees of freedom
    • Solve for primary unknowns and determine other quantities
    • Treatment of Special Structures
    • Geometrically symmetric structures
    • Geometrically symmetric structure under symmetrical loadings
    • Geometrically symmetric structure under anti-symmetrical loadings
    • Geometrically symmetric structure under general loadings

  • Influence Line for Statically Determinate Structures
    • Müller-Breslau's principle
    • Analysis of two-hinged arch
    • Symmetrical two hinged arch
    • Temperature effect
    • Influence line diagram
    • Torque and thrust force in drilling
    • MODEL OF DRILLING

  • The Moment Area Method
    • Introduction
    • Mohr’s First Theorem (Mohr I)
    • Mohr’s Second Theorem (Mohr II)
    • Application to Determinate Structures
    • Finding Deflections
    • Application to Indeterminate Structures
    • Find the location of the maximum deflection
    • Continuous Beams: Introduction
    • Analysis of Continuous Beams
    • Incorporation of Moment Due to Reactions
    • Pressure Line due to Prestressing Force
    • METHOD OF CONSISTENT DEFORMATION:Basic Concept
    • Choice of Released Structures
    • Compatibility Equations for General Case
    • Vector of kinematical conditions
    • METHOD OF SLOPE-DEFLECTION EQUATIONS
    • Computation of Fixed-end Moments
    • THE MOMENT − DISTRIBUTION METHOD
    • DISTRIBUTION FACTOR
    • STEPS INVOLVED IN MOMENT DISTRIBUTION METHOD
    • Strain Energy
    • Beams
    • Castigliano’s Theorems

Branch : Civil Engineering | Subject : Structural Analysis -2
Kinematic Indeterminancy: Stiffness method
  • Introductin of Matrix Stiffness Method

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  • Computer Programs to Support Learning

    Read topic
  • Basic Approach

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  • Assemblies of Elements

    Read topic
  • General Methodology

    Read topic
  • Matlab Program – Element Contribution

    Read topic
  • Interpretation of Stiffness Matrix

    Read topic
  • Restricting a Matrix – Imposing Restraints

    Read topic
  • Introduction of Plane Trusses

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  • Matlab Program – Data Entry

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  • Truss Element Stiffness Matrix

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  • Element Forces

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  • Plane Frame Element Stiffness Matrix

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  • Transformation to Global Coordinates

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  • Inter-nodal Loads

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