UNIT – I a) Slope-deflection method of analysis: Slope-deflection equations, equilibrium equation of slope-deflection method, application 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 jointed rectangular portal frames using slope-deflection method (Involving not more than three unknowns) (Chapter - 1) Unit II a) Moment distribution method of analysis: Stiffness factor, carry over factor, distribution factor, application 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). (Chapter - 2) Unit III a) Fundamental concepts of flexibility method of analysis, formulation of flexibility matrix, application to pin jointed plane trusses (Involving not more than three unknowns). b) Application of flexibility method to beams and rigid jointed rectangular portal frames (Involving not more than three unknowns). (Chapter - 3) Unit IV a) Fundamental concepts of stiffness method of analysis, formulation of stiffness matrix, application to trusses by member approach. Application to beams by structure approach only, (Involving not more than three unknowns). b) Application to rigid jointed rectangular portal frames by structure approach only (Involving not more than three unknowns). (Chapter - 4) Unit V a) Finite Difference Method : Introduction, application to deflection problems of determinate beams by central difference method b) Approximate methods of analysis of multi-storied multi-bay 2 - D rigid jointed fames by substitute frame method, cantilever method and portal method. (Chapter - 5, 6) Unit VI a) Finite element method: Introduction, discretization, types of elements-1D, 2D, 3D, isoparametric and axisymmetric, convergence criteria, Pascals triangle, direct stiffness method, principal of minimum potential energy, principal of virtual work. (No numerical) b) Shape functions: CST elements by using polynomials, 1D, 2D elements by using Lagrange’s method. (Chapter - 7)
