1. Strain-displacement relations, Stress-strain relations, Equations of equilibrium and motion, Strain energy density function and strain energy, Potential of external forces
2. Principle of virtual work , Minimum potential energy
3..Discritization concept, Approximation concept, Finite elements and nodes, Finite element formulation, Element matrices and vectors , .Assembly concept, System matrices and vectors
4.Bar finite element and analysis of trusses, transformations, Beam finite element and analysis of frames, transformations, Determination of element stresses and reaction forces, spring elements
5. Plane stress and plane strain problems, Natural coordinate systems,Finite element formulation for plane elasticity
6. Kinetic energy and mass matrix, Natural modes and frequencies, Mode superposition and transient response, Dynamic truss and frame problems
7. Stress stiffening, Geometric stiffness, Buckling concept and applications
8. Multipoint constraints, Constraint transformation, Lagrange multipliers, Penalty function, .A plane contact element