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Draft copy – Yet to modify Structural Analysis – I Unit – II Energy Theorems & Three Hinged Arches Lecture Notes Dr. M. K. Mohan B.E, M.E, PH.D, MISTE, MISCA, Member of Illuminati of IBC, Cambridge, England Listed in Asia Pacific’s Who’s Who - 2016 Professor of Civil Engineering Guru Nanak Institute of Technology Ibrahimpatnam, Hyderabad.

ENERGY THEOREMS & THREE HINGED ARCHES SYLLABUS UNIT - II ENERGY THEOREMS & THREE HINGED ARCHES ENERGY THOEREMS: Introduction- Strain energy in linear elastic system, expression of strain energy due to axial load, bending moment and shear forces – Castigliano’s first theorem – unit load Deflections of simple beams and pin jointed trusses. THREE HINGED ARCHES: Introduction- Types of arches- comparison between three hinged & two hinged arches. Linear arch. Eddy’s theorem. Analysis of three hinged arches. Normal thrust & radial shear in an arch. Geometrical properties of parabolic & circular arch. Three hinged arch at different levels. Absolute maximum bending moment diagram for a three hinged arch.

Thank You