Direct Stiffness Method – Trusses
Degrees of Static and Kinematic indeterminacies, Concepts ofStiffness and Flexibility, Local and Global Coordinate System, Analysis of indeterminate Trusses, with and without initial strains for different types of boundary conditions such as Fixed, Hinged, Roller, Slider, Elastic (Spring) supports, support settlement. Numerical examples.
Direct Stiffness Method - Continuous Beam, and Frames
Analysis of Continuous beams, fordifferent types of boundary conditions such as Fixed, Hinged, Roller, Slider, Elastic (Spring) supports, support settlement. Numerical examples Element stiffness matrix formulation for 2D, Grids and 3D frames (Local and Global).
FE Analysis using Bar Elements:
Element Stiffness matrix of two and three noded elements. Examples with constant and varying cross sectional area subjected to concentrated loads, distributed body force and surface traction and Initial strains due to temperature.
Isoparametric formulation of Bar Elements
Element stiffness matrix of two noded element with constant area, linear variation in area, Consistent Load due to body force, Surface traction
Element stiffness matrix of three noded bar Element, Consistent load due to UDL, Linearly Varying Load, Quadratic Varying Load.
FE Analysis using Beam Element
Element Stiffness matrix, Consistent Nodal loads, Concept of Reduced or Lumped Loads, Examples : Cantilever and Simply Supported beams.