UNIT 1:
History of the Finite Element Analysis
Solid mechanics stress equilibrium equation, strain-displacement equations
stress-strain Temperature Relations, Plane stress, plane strain
Strain energy, Total potential energy, Essential and natural boundary conditions
Weighted residual techniques
Weighted residual techniques
stress-strain Temperature Relations, Plane stress, plane strain
Rayleigh Ritz method-Problem
Solid mechanics stress equilibrium equation, strain-displacement equations
General FEA Process- FEA Solution Process.
Strain energy, Total potential energy, Essential and natural boundary conditions
Weighted residual techniques -Problem
Weighted residual techniques
Weighted residual techniques
Weighted residual techniques
UNIT 2:
Types of 1D element, Displacement function
Global and local coordinate systems, order of element, shape function and its properties
Formulation of element stiffness matrix
Types of 1D element, Displacement function
Formulation of element stiffness matrix and load vector for bar, beam, truss and plane frame
Formulation of element stiffness matrix and load vector for bar, beam, truss and plane frame
Formulation of element stiffness matrix and load vector for bar, beam, truss and plane frame
Formulation of element stiffness matrix and load vector for bar, beam, truss and plane frame
Formulation of element stiffness matrix and load vector for bar, beam, truss and plane frame
Formulation of element stiffness matrix and load vector for bar, beam, truss and plane frame
UNIT 3:
Constant Strain Triangles (CST)
Constant Strain Triangles (CST) Example Problem
Types of 2D elements, Formulation of elemental stiffness matrix and load vector
Constant Strain Triangles (CST) Example Problem
UNIT 4:
Concept of isoperimetric elements, super parametric and sub-parametric
UNIT 5:
Introduction to heat transfer and dynamic analysis
Steady-state heat transfer formulation of 1D element for convection
Steady-state heat transfer formulation of 1D element for convection
Boundary conditions and solving for temperature distribution- example problems
