1. 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
Professor of Civil Engineering
Guru Nanak Institute of Technology
Ibrahimpatnam, Hyderabad.

2. 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.

36. Thank You