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Definition Static and Kinematic Indeterminacy – Beams, Trusses and Frames – Degree of Freedom– Equilibrium and Kinematic Stability – Principle of Superposition – Basic Methods of Structural Analysis. Energy methods – Castigliano’s theorem- Application to Statically determinate and indeterminacy (2 degree) - beams, trusses and frames.
Principle – Slope deflection equation- Concept of symmetry and anti symmetry - Application to continuous beams - portal frames with and without sway (single bay - Single storey).
Principle - Stiffness- Distribution Factor and carryover moments – Application to continuous beams - portal frames with and without sway (single bay - Single storey).
Influence lines for reaction, bending moment and shear force diagrams for simply supported beams – Point load - UDL shorter and longer than the span - Moving loads -Maximum moment -Shear - Absolute maximum forces - series of concentrated loads and UDL in beams. Muller Breslau’s principle – Influence lines for continuous beams – concept of rolling loads for bridges
Analysis of plane truss with one or two redundant - trusses with lack of fit - Thermal stresses - Settlement of supports - Trussed beams. (Cantilever Method)
Reference Book:
Devadas Menon, “Structural Analysisâ€, Narosa Publishing House, 2008... Ghali.A, Nebille and Brown. T.G., "Structural Analysis - A unified classical and matrix approach" Sixth Edition, SPON press, New York, 2013 Gambhir. M.L., "Fundamentals of Structural Mechanics and Analysis"., PHI Learning Pvt. Ltd., New Delhi, 2011 Punmia.B.C, Ashok Kumar Jain and Arun Kumar Jain, "Theory of structures", Laxmi Publications Pvt. Ltd., New Delhi, 2013. Ramamrutham.S.,Narayanan.R., "Theory of Structures", DhanpatRai Publishing Company Pvt. Ltd., New Delhi, 2013
Text Book:
Vaidyanadhan, R and Perumal, P, “Comprehensive Structural Analysis – Vol. 1 &Vol. 2â€, Laxmi Publications Pvt. Ltd, New Delhi, 2007 K.U Muthu , “Basic Structural Analysisâ€, I.K International Publishing House, 2015..