- Introduction to Stiffness and Flexibility Methods and Matrix
- Axes and Co-ordinates - Concepts
- Relationship between Stiffness and Flexibility Matrix - Derivation
- Unassembled Stiffness and Flexibility Matrix - Concepts
- Element Stiffness and Flexibility Matrix - Concepts
- Development of Stiffness Matrix - Problem 1
- Development of Stiffness Matrix - Problem 2
- Development of Stiffness Matrix - Problem 3
- Development of Stiffness Matrix - Problem 4
- Development of Stiffness Matrix - Problem 5
- Development of Stiffness Matrix - Problem 6
- Development of Stiffness Matrix - Problem 7
- Generalizing the formulae to calculate stiffness matrix with an example
- Equivalent joint Loads (EQJL's) - Concepts and Formulaes
- Equivalent joint Loads (EQJL's) - Problems
- Displacement and Force Transformation Matrix
- Procedure for calculating displacements and internal forces using Stiffness method
- Stiffness Transformation Approach - STA - Problem STA-1 - Beams
- Problem STA-2 - Beams
- Problem STA-3 - Beams
- Problem STA-4 - Beams
- Problem STA-5 - Beams
- Problem STA-6 - Beams
- Problem STA-1 - Rigid Jointed Frames (Non-Sway)
- Problem STA-2 - Rigid Jointed Frames (Non-Sway)
- Problem STA-1 - Rigid Jointed Frames (Sway)
- Problem STA-2 - Rigid Jointed Frames (Sway)
- Problem STA - Pin Jointed Frames or Trusses - Procedure
- Problem STA-1 - Pin Jointed Frames or Trusses
- Problem STA-2 - Pin Jointed Frames or Trusses
- Direct Stiffness Approach - Procedure
- Problem DSM - Beams
- Problem DSM- Rigid Jointed Frames (Non-Sway)
- Problem DSM- Rigid Jointed Frames (Sway)
- Problem DSM- Pin Jointed Frames or Trusses

- Review on the concepts of Flexiblity matrix
- Development of Flexiblity Matrix - Problem 1
- Development of Flexiblity Matrix - Problem 2
- Development of Flexiblity Matrix - Problem 3
- Development of Flexiblity Matrix - Problem 4
- Development of Flexiblity Matrix - Problem 5
- Development of Flexiblity Matrix - Problem 6
- Generalizing the formulae to calculate flexibility matrix with an example
- Procedure for calculating redundants and internal forces using flexiblity method
- Flexiblity Transformation Approach - FTA - Problem FTA-1 - Beams
- Problem FTA-2 - Beams
- Problem FTA-3 - Beams
- Problem FTA-4 - Beams
- Problem FTA-5 - Beams
- Problem FTA-6 - Beams
- Problem FTA-1 - Rigid Jointed Frames (Non-Sway)
- Problem FTA-2 - Rigid Jointed Frames (Non-Sway)
- Problem FTA-1 - Rigid Jointed Frames (Sway)
- Problem FTA-2 - Rigid Jointed Frames (Sway)
- Pin Jointed Frames or Trusses - Problem Procedure using flexibility method
- Problem FTA-1 - Pin Jointed Frames or Trusses
- Problem FTA-2 - Pin Jointed Frames or Trusses

- Elastic Center Method - Concept
- Elastic Center Method - Problem
- Column Analogy Method - Concept
- Column Analogy Method - Beam Problem 1
- Column Analogy Method - Beam Problem 2
- Column Analogy Method - Beam Problem 3
- Column Analogy Method - Beam Problem 4
- Column Analogy Method - Beam Problem 5
- Application of the Analogy to Symmetric Portal Frames - Problem
- Application of the Analogy to Closed Frame - Problem
- Stiffness and Carry over Factors of Beams with Variable cross-section - concept
- Stiffness and Carry over Factors of Beams - Problem 1
- Stiffness and Carry over Factors of Beams - Problem 2

- Brief History of the Development of FEM
- FEM Introduction and Terminology
- Application of Finite Element Method
- Advantages and Disadvantages of FEM
- Generalized Procedure of FEM
- Types of Finite Element
- Discretisation and its Guidelines
- Co-ordinate System and types
- Interpolation Functions
- Shape function for axial bar member - 1D bar Element - 2 noded - Normal Method - Cartesian
- Shape function for axial bar member - 1D bar Element - 2 noded - Normal Method - Natural
- Shape function for axial bar member - 1D bar Element - 2 noded - Lagrangian Formulation
- Shape function for axial bar member - 1D bar Element - 3 noded - Normal Method - Cartesian
- Shape function for axial bar member - 1D bar Element - 3 noded - Normal Method - Natural
- Shape function for axial bar member - 1D bar Element - 3 noded - Lagrangian Formulation
- Shape function for 2D beam Element - Normal Method - Cartesian
- Shape function for 2D beam Element - Normal Method - Normal
- Strain Displacement Matrix for axial bar member - 1D bar Element - 2 noded
- Strain Displacement Matrix for axial bar member - 1D bar Element - 3 noded
- Strain Displacement Matrix for 2D beam Element
- Stiffness Matrix for axial bar member - 1D bar Element - 2 noded
- Stiffness Matrix for axial bar member - 1D bar Element - 3 noded
- Stiffness Matrix for 2D beam Element

Professor Prakruthi Gowd, is currently pursuing Ph.D. in the field of Structural Health Monitoring. She has completed B. E in Civil Engineering and M. Tech in Structural Engineering. She is a gold medalist for securing 1st rank in her University Exams. With over seven years of teaching Experience as an Assistant Professor, she holds a four year of teaching experience for GATE aspirants in various institutions. She strongly belives that teaching and learning are two evergreen process which really has no end. In her view, “No learning occurs without a significant relationship.” Students can only learn at their best when they feel welcomed, comfortable and safe as who they are and at what stage of knowledge they are. As said by William G Speedy “All students can learn and succeed, but not on the same day in the same way.” So, she believes in trying to reach out to the students of all kinds.

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