Determinate plane trusses: Analysis by method of joints, method of section and graphical method.
Analysis of determinate portal frames
Deflection analysis of beams: Area-moment theorem and Conjugate beam theory.
Strain energy: Due to axial load, bending and shear, Torsion; Castiglino's theorems, theorem of minimum
potential energy, principle of virtual work, Betti’s law, Maxwell’s theorem of reciprocal deflection, Unit-
Load method.
Use of energy principles for deflection analysis of determinate beams, trusses and simple portal frames.
Influence line diagrams: Statically determinate beams and trusses under series of concentrated and
uniformly distributed rolling loads, criteria for maximum and absolute maximum moments and shears.
Redundant structures: Concepts of statical and kinematic indeterminancy of beams, trusses and portal
frames; Application of second theorem of Castigliano and method of consistent deformation for analysis of
propped cantilever, fixed beams and continuous beams (maximum two degree of indeterminacy) for simple
loading cases.