Finite Element Method

2D Elements – Constant Strain Triangles

Constant Strain Triangle Part I

Constant Strain Triangle Part II

Constant Strain Triangle Part III

Constant Strain Triangle Part IV

Constant Strain Triangle Part V

Constant Strain Triangle Part VI

Constant Strain Triangle Part VII

Variational Method

Rayleigh Ritz method Part I

Rayleigh Ritz Method Part II

Rayleigh Ritz Method Part III

One-Dimensional Element

Part I

Part II

Shape Functions for 1D Element in cartesian co-ordinates

Variation of Shape Functions

Shape Functions in Natural Co-ordinate System

Variation of Shape Functions in Natural Co-ordinate System

Element Stiffness Matrix

Force Terms of 1D Element

Solved Problem Part I

Solved Problem Part II

Problem II

Penalty Approach

Shape Functions of Three Noded Bar Element

Variation of Shape Functions for Three Noded Bar Element

Problem III

Trusses in FEM

Stiffness Matrix of Truss Element

Sign Conventions

Solved Problem Part I

Solved Problem Part II

Solved Problem Part III