Direct and Bending Stresses
Introduction of direct and eccentric loads,
Eccentricity about one principal axis, nature of stresses
Maximum and minimum stresses, resultant stress distribution diagram.
Condition for no tension or zero stress at extreme fiber
Limit of eccentricity, core of section for rectangular and circular cross sections
Middle third rule.
Chimneys subjected to wind, rectangular and circular cross section, wind pressure, coefficient of wind pressure, stress distribution diagram at base.
Walls subjected to horizontal pressure & stress distribution at base.
Slope and Deflection
Concept of slope and deflection, stiffness of beams.
Relation among bending moment, slope deflection and radius of curvature, differential equation (no derivation), double integration method to find slope and defection of simply supported and cantilever beam.
Macaulay’s method for slope and deflection, application to simply supported and cantilever beam subjected to concentrated and uniformly distributed load on entire span,.
Fixed Beam
Concept of fixity, effect of fixity, advantages and disadvantages of fixed beam.
Principle of superposition.
Fixed end moments from first principle for beam subjected to UDL over entire span, central point load, Point load other than mid span.
Application of standard formulae in finding moments and drawing S.F. and B.M. diagrams for a fixed beam (Derivation need not be asked in the examination).
Continuous Beam
Definition, effect of continuity practical example, nature of moments induced due to continuity, concept of deflected shape
Clapeyron’s theorem of three moment (no derivation).
Application of theorem maximum up to three spans and two unknown support moment only, Support at same level, spans having same and different moment of inertia subjected to concentrated loadsand uniformly distributed loads over entire span.
Drawing SF and BM diagrams for continuous beams.
Moment Distribution Method
Introduction, sign convention
Carry over factor, stiffness factor, distribution factor.
Application of moment distribution method for various types of continuous beams subjected to concentrated loads and uniformly distributed load over entire span having same or different moment of inertia up to three spans and two unknown support moment only, SF and BM diagrams (Supports at same level)
Introduction to portal frames – Types of portal frames (No problems shall be asked on portal frames).
Simple Frames
Types of trusses (Simple, Fink, compound fink, French roof truss, pratt roof truss, Howe roof truss, North light roof truss, King post and Queen post roof truss)
Calculate support reactions for point loads at nodal points.
Calculate forces in different members by using method of joints and Method of sections.
Graphical method of analysis of truss.(No problem in the theory examination)
Introduction of direct and eccentric loads,
Eccentricity about one principal axis, nature of stresses
Maximum and minimum stresses, resultant stress distribution diagram.
Condition for no tension or zero stress at extreme fiber
Limit of eccentricity, core of section for rectangular and circular cross sections
Middle third rule.
Chimneys subjected to wind, rectangular and circular cross section, wind pressure, coefficient of wind pressure, stress distribution diagram at base.
Walls subjected to horizontal pressure & stress distribution at base.
Slope and Deflection
Concept of slope and deflection, stiffness of beams.
Relation among bending moment, slope deflection and radius of curvature, differential equation (no derivation), double integration method to find slope and defection of simply supported and cantilever beam.
Macaulay’s method for slope and deflection, application to simply supported and cantilever beam subjected to concentrated and uniformly distributed load on entire span,.
Fixed Beam
Concept of fixity, effect of fixity, advantages and disadvantages of fixed beam.
Principle of superposition.
Fixed end moments from first principle for beam subjected to UDL over entire span, central point load, Point load other than mid span.
Application of standard formulae in finding moments and drawing S.F. and B.M. diagrams for a fixed beam (Derivation need not be asked in the examination).
Continuous Beam
Definition, effect of continuity practical example, nature of moments induced due to continuity, concept of deflected shape
Clapeyron’s theorem of three moment (no derivation).
Application of theorem maximum up to three spans and two unknown support moment only, Support at same level, spans having same and different moment of inertia subjected to concentrated loadsand uniformly distributed loads over entire span.
Drawing SF and BM diagrams for continuous beams.
Moment Distribution Method
Introduction, sign convention
Carry over factor, stiffness factor, distribution factor.
Application of moment distribution method for various types of continuous beams subjected to concentrated loads and uniformly distributed load over entire span having same or different moment of inertia up to three spans and two unknown support moment only, SF and BM diagrams (Supports at same level)
Introduction to portal frames – Types of portal frames (No problems shall be asked on portal frames).
Simple Frames
Types of trusses (Simple, Fink, compound fink, French roof truss, pratt roof truss, Howe roof truss, North light roof truss, King post and Queen post roof truss)
Calculate support reactions for point loads at nodal points.
Calculate forces in different members by using method of joints and Method of sections.
Graphical method of analysis of truss.(No problem in the theory examination)
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