Syllabus

Concept of determinate and indeterminate structures, determination of degree of static and kinematic indeterminacy in beams, plane and space trusses, rigid frames and continuous structures. [4 hrs]

Analysis of statically indeterminate beams by force methods- Propped cantilever and fixed beams using moment area method. Deflection of beams by using geometric methods- conjugate beam approach. Analysis of continuous beams by Clapeyron’s Theorem of Three moments including settlement of supports. [6 hrs]

Deflection of structures by energy approach-Strain energy and complementary strain energy, strain energy due to axial load, bending and shear. Application of law of conservation of energy, principles of virtual work, Castigliano’s first theorem. Deflection of determinate beams, truss and rigid frames by Energy methods. [4 hrs]

Slope-Deflection Method of Analysis: Slope-deflection equations, equilibrium equation of slope-deflection method, application to beams with and without joint translation and rotation, yielding of support, application to non-sway rigid jointed rectangular portal frames, shear force and bending moment diagram. Sway analysis of rigid jointed rectangular (single storey) portal frames using slope-deflection method. [6 hrs]

Moment Distribution Method of Analysis: Stiffness factor, carry over factor, distribution factor, application to beams with and without joint translation, yielding of support, application to non-sway rigid jointed rectangular portal frames, shear force and bending moment diagram. Sway analysis of rigid jointed rectangular single bay single storey portal frames using moment distribution method. [6 hrs]

Influence lines for statically determinate structures- Basics of Rolling loads and influence lines for simply supported beams for different load cases including single point load, uniformly distributed load (UDL) and series of concentrated loads, Influence line for forces in members of Pratt and Warren trusses with parallel top and bottom chords. [6 hrs]

Arches-Analysis of three-hinged, two-hinged and fixed parabolic and circular arches, influence line for horizontal thrust, bending moment, normal thrust and radial shear for arches. [8 hrs]

Analysis of varieties of determinate structures using different approaches.

Analysis of varieties of indeterminate structures using different approaches.

Determination of deflection of beams, truss and frames by energy method.

Analysis of structures subjected to moving loads

Understand the degree of redundancy present in beams, truss and rigid frames.

Analyse beams and frames by force and displacement methods for different support condition and sway in frames.

Determine the deflection at any point of determinate beams, truss and frames using energy methods like Castigliano’s method and principle of virtual work.

Understand the influence line diagram for stresses in beams and trusses for different load cases.

Analyse three and two hinged arches for different end conditions and plot influence line diagrams for bending moment, normal thrust and radial shear.

R. C. Hibbler, Structural Analysis, LCE, Pearson Education, New Delhi, 2007.

C. K. Wang, Intermediate Structural Analysis, McGraw-Hill.

L. S. Negi, Theory and Problems in Structural Analysis, Tata-McGraw Hill

J. S. Kinney, Indeterminate Structural Analysis, Narosa Publishing House, 1991.

ASCE Journal of Engineering Mechanics

International Jornal of Structural Stability and Dynamics