Structural Analysis - I (PCCET303) Syllabus

Statically determinate trusses: analysis using method of joints and method of sections. Cables and Suspension Bridges: forces in loaded (concentrated and uniformly distributed) cables, length of cables, supports at same and different levels, maximum tension in the suspension cable and backstays, pressure on towers. Simple suspension bridges with three hinged stiffening girders — bending moments and shear force diagrams.

Deformation Response of Statically Determinate Beams: moment area method (Mohr's theorems), applications to cantilever and simply supported beams (prismatic and varying cross section) under concentrated and UDL. Conjugate beam method: real beam and conjugate beam, boundary conditions. Energy Principles and Theorems: Castigliano's theorem I, principle of virtual work, Betti's theorem, Maxwell's law of reciprocal deflections. Unit load method for deflection of statically determinate beams, frames and trusses.

Indeterminate Structures: introduction to force method of analysis, static indeterminacy. Castigliano's theorem II, minimum strain energy method (illustration only). Method of consistent deformations: analysis of beams, frames and trusses (one redundant fully, two redundant illustration only). Effects of pre-strain, lack of fit, temperature changes and support settlement (illustration only). Three Hinged Arches: action of an arch, Eddy's theorem, three-hinged parabolic and circular arches (supports at same level) — horizontal thrust, bending moment, normal thrust and radial shear.

Moving Loads and Influence Lines: introduction to moving loads, concept of influence lines, influence lines for reaction/shear force/bending moment in simply supported and overhanging beams, analysis for different moving loads (single concentrated, several concentrated, UDL shorter and longer than the span), conditions for maximum bending moment and shear force.