Displacements: Concept; Governing differential equation for deflection of straight beams;
Following methods for determination of structural displacements:
10. Geometric Methods: Double integration; Macaulayō€³¦s method; Moment area method;
Conjugate beam method.
11. Energy Methods: Strain energy in members, , Betti’s and Maxwell’s Laws of
reciprocal deflections, Concept of Virtual work and its applications, Castigliano’s
theorems, unit load method, deflections of trusses and 2D-frames.
Determinate Structures: Concept of determinacy; Analysis of determinate structural
elements—truss, arch, beam, frame, cables; Internal forces in determinate structures;
Reaction diagram-- Bending moment, shear force, radial shear, normal thrust diagrams for
the determinant structures.
12. Analysis of plane trusses, compound and complex trusses using method of joints,
method of joints, tension coefficients.
13. Analysis of three-hinged arch of various shapes under different loading conditions.
14. Analysis of simple portal frame, cables under different loading conditions.
15. Analysis of cables under point load and UDL with ends at same or different levels.
Moving Loads and Influence Line Diagrams: Concept of influence line diagram, rolling
loads; Bending moment and shear force diagrams due to single and multiple concentrated
rolling loads, uniformly distributed moving loads; Equivalent UDL; Muller Breslau principle;
Influence lines for beams, girders with floor beams and frames; calculation of the maximum
and absolute maximum shear force and bending moment; Concept of envelopes; Influence
line for displacements; Influence line for bar force in trusses.
Analysis of Cables and Suspension Bridges: General cable theorem, shape, elastic stretch
of cable, maximum tension in cable and back-stays, pressure on supporting towers,
suspension bridges, three hinged stiffening girders.
Analysis of Dams, Chimneys and Retaining Walls: Introduction, loadings for the dames,
chimneys, and retaining walls; limit of eccentricity for no-tension criteria; Concept of core;
Middle-third rule; maximum/minimum base pressures.
Following methods for determination of structural displacements:
10. Geometric Methods: Double integration; Macaulayō€³¦s method; Moment area method;
Conjugate beam method.
11. Energy Methods: Strain energy in members, , Betti’s and Maxwell’s Laws of
reciprocal deflections, Concept of Virtual work and its applications, Castigliano’s
theorems, unit load method, deflections of trusses and 2D-frames.
Determinate Structures: Concept of determinacy; Analysis of determinate structural
elements—truss, arch, beam, frame, cables; Internal forces in determinate structures;
Reaction diagram-- Bending moment, shear force, radial shear, normal thrust diagrams for
the determinant structures.
12. Analysis of plane trusses, compound and complex trusses using method of joints,
method of joints, tension coefficients.
13. Analysis of three-hinged arch of various shapes under different loading conditions.
14. Analysis of simple portal frame, cables under different loading conditions.
15. Analysis of cables under point load and UDL with ends at same or different levels.
Moving Loads and Influence Line Diagrams: Concept of influence line diagram, rolling
loads; Bending moment and shear force diagrams due to single and multiple concentrated
rolling loads, uniformly distributed moving loads; Equivalent UDL; Muller Breslau principle;
Influence lines for beams, girders with floor beams and frames; calculation of the maximum
and absolute maximum shear force and bending moment; Concept of envelopes; Influence
line for displacements; Influence line for bar force in trusses.
Analysis of Cables and Suspension Bridges: General cable theorem, shape, elastic stretch
of cable, maximum tension in cable and back-stays, pressure on supporting towers,
suspension bridges, three hinged stiffening girders.
Analysis of Dams, Chimneys and Retaining Walls: Introduction, loadings for the dames,
chimneys, and retaining walls; limit of eccentricity for no-tension criteria; Concept of core;
Middle-third rule; maximum/minimum base pressures.
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