Architectural Structures - III

& Introduction, Strain energy stored due to axial loading and due to bending, Principles Law of reciprocal deflections, Betti’s law, The first theorem of Castiglione, The second theorem of castigliano (Introduction only). Cases.

Introduction, Degree of indeterminacy, External and internal indeterminacy, Calculation of degree of indeterminacy for beams and frames.

Fixed beams - Introduction, B.M. Diagram for a fixed beam for various loading, Effects of sinking of support, advantages and disadvantages of fixed beams. Continuous beams - Introduction, Clapeyron’s theorem of three moments for two to three span of continuous beam, Effects of sinking of support.

Basic Proposition, Relative stiffness, Analysis of continuous beams and portal frames for simple loading.

Deflection Introduction, Basic concepts, Basic formulae, Application to analyse Continuous beams and Portal frames for simple loadings.