the syllabus for structural analysis
I: Energy Theorems Introduction – strain energy in the linear elastic system, expression of strain energy due to axial load, bending moment and shear forces – Castiglione’s first theorem – Deflections of simple beams and pin jointed trusses. Unit II: Arches Types of arches- three and two hinged arches – Circular and parabolic arches – yielding of supports –Effect of shortening of rib-Effect of temperature changes –Tied and linear arch. Unit III: Indeterminate Beams (Force Method) a. Propped cantilevers b. Fixed beams c. Continuous Beams (By Clapeyron’s theorem of three moments). Unit IV: Analysis of Simple and Continuous Beams (Indeterminate Structures) a. Slope Deflection method b. Moment Distribution method c. Kani’s Method. Unit V: Moving Loads and Influence Line Diagrams Introduction, maximum SF and BM at a given section and absolute maximum S.F and B.M due to single concentrated load, U.D load longer than the span, U.D load shorter than the span, two-point loads with a fixed distance between them and several point loads – Equivalent uniformly distributed load – focal length. Definition of influence line for SF, Influence line for B.M- load position for maximum SF at a section –Load positions for maximum BM at a section – Point loads , UDL longer than the span, UDL shorter than the span- Influence lines for forces in members of Pratt and Warren trusses.
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