Strain energy and strain energy density – strain energy due to axial load (gradual, sudden and impact loadings), shear, flexure and torsion – Castiligliano’s theorem - Maxwell’s reciprocal theorem - Principle of virtual work – application of energy theorems for computing deflections in determinate beams, plane frames and plane trusses.
Concept of Analysis - propped cantilever and fixed beams - fixed end moments and reactions – sinking and rotation of supports - Theorem of three moments – analysis of continuous beams – shear force and bending moment diagrams.
Euler’s column theory – critical load for prismatic columns with different end conditions – effective length – limitations - Rankine-Gordon formula - Eccentrically loaded short columns – middle third rule - core of a section.
Theories of failure–Principal stress - Principal strain – shear stress – Strain energy and distortion energy theories –application in analysis of stress, load carrying capacity.
Unsymmetrical bending of beams of symmetrical and unsymmetrical sections – Shear Centre - Curved beams – Winkler Bach formula.
Reference Book:
1.Punmia.B.C."Theory of Structures" (SMTS) Vol 1&II, sixteenth edition ,Laxmi Publishing Pvt Ltd, New Delhi 2009 2.William A .Nash, “Theory and Problems of Strength of Materials”, Schaum’s Outline Series, Tata McGraw Hill Publishing company, 2007. 3.Kazimi S.M.A, “Solid Mechanics”, Tata McGraw-Hill Publishing Co., New Delhi, 2005 4.Rattan.S.S., "Strength of Materials", Tata McGraw Hill Education Pvt. Ltd., New Delhi, 2011. 5.Vazirani.V.N and Ratwani.M.M, “Analysis of Structures”, Vol I, Khanna Publishers, New Delhi,1995.
Text Book:
1.Rajput.R.K. “Strength of Materials”4th Edition, S.Chand& co, New Delhi, 2019 2.Egor P Popov, “Engineering Mechanics of Solids”, 2nd edition, PHI Learning Pvt. Ltd., New Delhi, 2012