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