SA-3 (B-TECH Civil Engineering 6th)

STRUCTURAL ANALYSIS III

1. BASIC CONCEPTS OF STRUCTURAL ANALYSIS: Static and kinematic indeterminacies of beams, rigid-jointed plane and space frames, pin-jointed plane and space frames and hybrid structures, actions and displacements, action and displacement equations, generalized system of coordinates, unit-load method, conjugate-beam method, slope-deflection equations.

2. FLEXIBILITY MATRIX (PHYSICAL APPROACH): Basic definitions and types of matrices, matrix operations, matrix inversion, solution of linear simultaneous equations, matrix partitioning, development of flexibility matrices for statically determinate and in determinate beams, rigidjointed plane frames and pin-jointed plane frames using physical approach.

3. STIFFNESS MATRIX (PHYSICAL APPROACH): Development of stiffness matrices for statically determinate and indeterminate beams, rigid-jointed plane frames and pin-jointed plane frames using physical approach, reduced stiffness matrix, total stiffness matrix, translational or lateral stiffness matrix.

4. STIFFNESS MATRIX (ELEMENT APPROACH): Transformation of system displacements to element displacements through displacement transformation matrix, transformation of element stiffness matrices to system stiffness matrix, development of stiffness matrices for statically determinate and indeterminate beams, rigid-jointed plane frames and pin-jointed plane frames using element approach, relation between flexibility and stiffness matrices.

5. STIFFNESS METHOD OF ANALYSIS: Analysis of continuous beams, rigid-jointed plane frames and pin-jointed plane frames using the physical and element approaches, effect of support settlements, temperature stresses and lack of fit, comparison of flexibility and stiffness methods of analysis.

6. FINITE ELEMENT METHOD (FEM): Basic concept, discretisation, procedure, elementary applications of principles and formulation of problems, steps of FEM.