Work and energy theorems, Reciprocal theorem, Analysis of indeterminate frames, grillages and trusses, Unit load, moment area, conjugate beam methods, Influence lines, Strain energy of beams, bars and torsion members, Matrix formulation of displacement method for frame, truss,bar and torsion members, Beam on elastic foundation and its stiffness matrix, 3D beam element including shear effects, Transformation, assembly and bandwidth reduction of stiffness matrices, Concept of finite element method.
Beam-column theory, Geometric stiffness matrix, Buckling of bars and frames, Application of FEM to buckling.
Shear flow and torsion of beams with thin walled open sections, Combined torsion and bending, Unsymmetric bending of beams.
2D and 3D theory of elasticity, Equilibrium and compatibility equations in cartesian and polar coordinates, Strain-displacement relations, Plane stress and place strain, Use of stress function in 2D problems, Shear lag and its application, Stress concentration and its application.
Application of matrix methods to problems of marine structures.