# Structural Analysis Syllabus II

CE 307 Structural Analysis-II [3 1 0 4]

Statically Indeterminate Beams and Frames: Introduction, types of supports-reaction
components, external redundancy, statically indeterminate beams and frames, degree of
redundancy
Fixed and Continuous Beams: Bending moment diagrams for fixed beams with different loadings,
effect of sinking of supports, degree of fixity at supports, advantages and disadvantages of fixed
beams, continuous beams, Clayperons theorem of three moments, various cases of load and
geometry of continuous beams.
Slope Deflection Method: Fundamental equations, Applications to continuous beams and portal
frames, side sway in portal frames.
Moment Distribution Method: Basic propositions, stiffness of a member, distribution theorem,
carry-over theorem, relative stiffness, distribution factors, applications to continuous beams, portal
frames with and without side sway, analysis of multi-storeyed frames, method of substitute frame.
Rotation Contribution method: Basic concepts, rotation factor, and application to continuous
beams, portal frames and multistoried frames, story shear.
Approximate methods of Structural Analysis: Portal method, Cantilever Method, Substitute
Frame Method.
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Column Analogy Method: The column analogy, properties of symmetrical analogous column,
application to fixed beams and portal frames.
Strain Energy: General principles, strain energy due to axial loading and bending, law of reciprocal
deflections, Castigliano’s first theorem, beam deflections using Castigliano’s first theorem, minimum
strain energy, Castigliano’s second theorem, analysis of statically indeterminate beams and portal
frames.
Redundant Frames: Order of redundancy, frames with one and two redundant members.
Stresses due to lack of fit, the trussed beam, portal frames.
Analysis of two hinged arches:
Influence lines for indeterminate Structures: Muller Breslau Principle, Influence lines for shear
force, bending moment and reactions in continuous beams, balanced cantilevers and rigid
Frames.
Books Recommended
1. Reddy C S “Basic Structural Analysis” Tata McGraw Hill, New Delhi, 2003.
2. Wang C K “Intermediate Structural Analysis” McGraw Hill, 1998.
3. Punmia B C “Theory of Structures” Luxmi Publications, New Delhi, 1996.
4. Sinha N C “Advanced Theory of Structures” Dhanpat Rai Publications, New Delhi, 2000.
5. Ramamrutham S and Narayan R “Theory of Structures:” Dhanpat Rai & Sons, New
Delhi, 1996.