Unit I Fundamentals of structure and analysis of redundant beams. a) Types and classification of structures based on structural forms, concept of indeterminacy, static and kinematics degree of indeterminacy. b) Analysis of propped cantilever, fixed beam and continuous beams with indeterminacy up to second degree by strain energy method. Unit II Analysis of redundant pin jointed frames and multi-storied multi-bay 2-D rigid jointed frames. a) Analysis of redundant trusses by unit load method for external loading, lack of fit, sinking of support and temperature changes (indeterminacy up to second degree). b) Approximate methods of analysis of multi-storied multi-bay 2-D rigid jointed frames by Cantilever method and Portal method. Unit III Slope-Deflection Method a) Slope-deflection equations, equilibrium equation of Slope-deflection method, application of Slope deflection method to beams with and without joint translation and rotation, yielding of support, application to non-sway rigid jointed rectangular portal frames, shear force and bending moment diagram. b) Sway analysis of rigid joint rectangular single bay single storey portal frames using Slope-deflection method. (Involving not more than three unknowns) Unit IV Moment Distribution Method a) Stiffness factor, carry over factor, distribution factor, application of Moment distribution method of analysis to beams with and without joint translation and yielding of support, application to non-sway rigid jointed rectangular portal frames, shear force and bending moment diagram. b) Sway analysis of rigid jointed rectangular single bay single storey portal frames using Moment distribution method (Involving not more than three unknowns). Unit V Stiffness Method a) Fundamental concepts of flexibility and stiffness, relation between them. Stiffness method of analysis-Structure approach only. Application to beams (Involving not more than three unknowns). b) Application of Stiffness structure approach to rigid jointed rectangular portal frames (Involving not more than three unknowns). Unit VI Plastic Analysis of Structure True and idealized stress-strain curve for mild steel in tension, stress distribution in elastic, elasto-plastic and plastic stage, concept of plastic hinge and collapse mechanism, static and kinematic methods of analysis, upper bound, lower bound and uniqueness theorem. Plastic modulus of section, Plastic moment, shape factor. Plastic analysis of determinate and indeterminate beams, single bay single storied portal frame.
