Basic concepts of structural analysis and methods of solving simultaneous equations:
Introduction, Types of framed structures, Static and Kinematic Indeterminacy, Equilibrium equations, Compatibility conditions, Principle of superposition, Energy principles, Equivalent joint loads, Methods of solving linear simultaneous equations- Gauss elimination method, Cholesky method and Gauss-Siedal method.
Fundamentals of Flexibility and Stiffness Methods:
Concepts of stiffness and flexibility, Local and Global coordinates,Development of element flexibility and element stiffness matrices for truss, beam and grid elements, Force-transformation matrix,Development of global flexibility matrix for continuous beams, plane trusses and rigid plane frames, Displacement-transformation matrix, Development of global stiffness matrix for continuous beams, plane trusses and rigid plane frames.
Analysis using Flexibility Method (including secondary effects):
Continuous beams, plane trusses and rigid plane frames
Analysis using Stiffness Method (including secondary effects):
Continuous beams, plane trusses and rigid plane frames
Direct Stiffness Method:
Stiffness matrix for truss element in local and global coordinates, Analysis of plane trusses, Stiffness matrix for beam element, Analysis of continuous beams and orthogonal frames.