Structural Analysis -2
The Moment Area Method
Influence Line for Statically Determinate Structures
Arches and curvred structures
Kinematic Indeterminancy: Stiffness method
Plastic analysis of structures
- 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
- 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
- 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
- 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