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 SYLLABUS OF GRADUATE (M.Tech)

                            Undergraduate                   |              Graduate

FIRST SEMESTER                                                                               SECOND SEMESTER

   1. Applied Elasticity & Plasticity

   2.Matrix Methods of Structural Analysis

   3.Structural Dynamics

   4.Elective-1

   5.Elective-2

Sessionals:

Structural Engineering Lab

SEMINAR:

List of Electives: Pre-Stressed Concrete, Structural Optimization, Theory of Plates & Shells, Bridge Engineering, Design of Offshore Structures (any two out of five)

Second Semester

   1. Finite Element Structural Analysis

   2. Elastic Stability & Behaviour of Metal Structures

   3. Behaviour & Design of Reinforced Concrete Structures

   4. Elective-3

   5. Elective-4

Sessionals:   CAD Lab

Seminar
(List of Electives:)

Composite Structures, Earthquake and Wind Resistant Design of Structures, Advance Steel Design, High Rise Structures, Advanced Foundation Engineering (any two out of five)

First Semester

Applied Elasticity & Plasticity

Applied elasticity- 2/3 weightage and plasticity-1/3 weightage

Linear elasticity; stress, strain, constitutive relations, strain displacement relations, three dimensional stress and strain analysis, compatibility, stress and displacement functions.

Two dimensional problems in Cartesian and polar coordinates, description of an elasticity problem as a boundary value problem, bending of beams-cantilever and simply supported beam.

Torsion of rectangular bars including hollow sections, torsion of a circular and a rectangular section.

Elements of plasticity, failure & yield criterion, Equations of plasticity, plastic stress-strain relations, flow rule, velocity field, slip lines and plastic flow, incremental plasticity.

S.P.Timoshenko & J.N.Goodier, "Theory of Elasticity", McGraw Hill-1970

M.Kachanov, "Theory of Plasticity", MIR Publication

C.R.Calladine, "Plasticity for Engineers", Ellis Horwood, Chichester, U.K., 1985

Matrix Methods of Structural Analysis

Introduction, equilibrium, static and kinematic indeterminacy, kinematics, virtual work, concepts of stiffness and flexibility, analysis by displacement and force methods.

Application of flexibility method to beams and plane trusses.

Application of stiffness method to beams, plane frames and plane trusses.

Application of stiffness method to space truss, space frames and grids, basic concepts associated with computer implementation of stiffness method.

H.C.Martin," Introduction to Matrix Methods of Structural Analysis. M.B.Kanchi, "Matrix Methods of Structural Analysis", New Age International Publishers, New Delhi Kardestuncer, "Elementary Matrix Analysis of Structures" Gere & Weaver, "Matrix Structural Analysis"

Structural Dynamics

Oscillatory motion; harmonic motion, periodic motion, vibration terminology,

Free vibration; equations of motion-natural frequency, energy method, principle of virtual work, viscously damped free vibration, Coulomb damping, Harmonically excited vibration; forced harmonic vibration, energy dissipated by damping, equivalent viscous damping, structural damping, vibration measuring instruments

Transient vibration; impulse excitation, arbitrary excitation, Laplace transform formulation, response spectrum,

Introduction to multi degree of freedom systems; normal mode vibration, forced harmonic vibration,
vibration absorber, vibration damper.

Properties of vibrating systems, flexibility matrix, stiffness matrix, stiffness to beam elements, eigen values and eigen vectors, modal matrix, modal damping in forced vibration, normal mode summation,

normal mode vibration of continuous beams, vibrating string, longitudinal vibration of rods, torsional vibration of rods, Euler equation for beam, effect of rotary inertia and shear deformation.

Random vibrations, random phenomena, time averaging and expected value, frequency response function.

W.T.Thomson, "Theory of Vibration with Applications" R.W. Clough & J.Penzien, “Dynamics of Structures", McGraw Hill

ELECTIVES

Pre Stressed Concrete

Prestressing concepts, materials, systems of prestressing, principles of prestressed concrete design, choice of sections for flexural members, cracking moment, losses in prestress, deflections in beams, cable profiles.

Limit state analysis and design of members for bending, shear and torsion.

End block design, anchorage zone stresses in post tensioned beams.

Indeterminate structure: continuous beams, secondary moments, concordant and transformed tendon profiles, prestressed-cast-in-situ composites and its advantages of construction, use of relevant code of practice.

N.K.Raju-Pre Stressed Concrete Y.Guyon-Pre Stressed Concrete

Structural Optimization

Optimization design problem formulation: design/decision variables, cost function, equality and inequality constraints, convex function., nonlinear programming: one dimensional search:- equal interval search, golden section search, quadratic curve fitting.

Multi dimensional search: steepest descent method, conjugates direction method, conjugate gradient method, Davidon-Fletcher-Powell method, Fletcher and Reeve method. , constrained optimization method:

Lagrangian theorem, Kuhn-Tucker conditions, sequential unconstrained minimization method, augmented Lagrangian method, sequential linearization method. linear programming: basic ideas and steps of simplex method., integer programming: branch and bound method, geometrical programming method.

Introduction to Genetic Algorithms: natural law of evolutions, terminologies in genetic algorithms, types of selection, crossover and mutation procedures, steps of solution of problems., application of optimization methods for beam, column, frame, truss etc.

J.S.Arora, "Introduction to Optimum Design", McGraw-Hill Book Company, New York. S.S.Rao,"Engineering Optimisation, Theory and Practice , 3^rd edition, New Age International publishers, New Delhi. K.Deb," Optimization for Engineering Design: Algorithms and Examples".Prentice-Hall, (Seventh Print). New Delhi:

Theory of Plates & Shells

Plates- ½ weightage and Shells- ½ weightage

Plate equation and behaviour of thin plates in cartesian, polar coordinates; Isotropic and orthotropic plates, bending and twisting of plates.

Navier's solution and energy method, rectangular, circular plates with various end conditions.

Shell behaviour, shell surfaces and characteristics, classifications of shells, equilibrium equations in curvilinear coordinates, force displacement relations.

Membrane analysis and bending theory of shells of revolution, cylindrical shells under different loads, shallow shells, solutions of typical problems.

Texts/References

• S.P. Timoshenko, S.W., Krieger, 'Theory of Plates and Shells, McGraw-Hill, 1959.

• K. Chandrashekhara, "Theory of Plates, University Press, 2001

• A.C.Urugal, "Stress in plates and shells"

Bridge Engineering

Types of bridges, choice of type of bridge, longitudinal arrangement and economical span, Design preliminaries: Layout, types of loads including wind and seismic loads, standard specifications for road bridges, substructures, superstructures, IRC provisions on loads and stresses, specification for single/double multi lane railway and road bridges.

Design of reinforced concrete slab culvert, box culvert bridge.

Tee beam and slab bridge deck, design of prestressed concrete bridge.

Design of balanced cantilever bridge, design of continuous bridge.

N.K.Raju, " Design of bridges", Oxford & IBH Publishing Co. pvt. ltd. D.J.Victor," Essentials of bridge engineering", Oxford & IBH Publishing Co. pvt. ltd. Indian Road Congress Codes No.5,6,18,21,24, Jamnagar House, Shah Jahan Road, New Delhi.  

Design of Off shore Structures

Materials and their behaviour under static and dynamic loads, allowable stresses, various design methods and codes, design consideration, Design loads, design of decking of template type steel structures, design of supporting legs, design of braces.

Corrosion and other allowances, consideration of stress concentration, design of concrete platforms, Ingradient materials and protective measure, design of raft foundation, design of side walls, design of decking, Defnorske Veritas, Rules for the Design, Construction and Inspection of Fixed Offshore Structures, 1977.

• Energy Department, U.K., Guidance of Design and Construction of Offshore Installation, 1974.

• American Petroleum Institute, API RP-2A, Recommended Practice for Planning, Designing and Constructing Fixed Offshore Platforms, 1974.

• Numerical Methods in Offshore Engineering, Wiley Inter science Publication.

Sessional subjects:

1. Structural Engineering Lab

Concrete mix design, testing of RCC beams, columns, pre stressed concrete beams, fracture characteristics of mild steel and cold worked steels, testing of tubular and angle sections, NDTS-application of acoustic emission instrument, ultrasonic test, tests on steel concrete composite sections.

2. Seminar

Second Semester

Finite Element Structural Analysis

   Basic principles of structural mechanics, principle of virtual work, energy principles, element properties; relation between nodal degrees of freedom and generalized coordinates , convergence requirements, natural coordinate systems, shape functions, element stiffness matrix.

   Isoparametric elements; computation of stiffness matrix for isoparametric elements, direct stiffness method of analysis and solution technique, assemblage of elements, direct stiffness method, boundary conditions and reaction, basic steps in finite element analysis.

    Analysis of framed structures; 2 and 3 dimensional truss element, 2 dimensional beam element, stiffness matrix for a two dimensional beam element with 6 d.o.f., element load vector, transformation matrix, computation of stress resultants, shear deformation, plane stress and plane strain analysis, nodal load vector, rectangular elements, 8 noded rectangle, isoparametric elements, axisymmetric solid element.

   Three dimensional stress analysis, 8 noded isoparametric solid element, analysis of plate bending, displacement functions, various types of plate bending elements, types of isoparametric elements, analysis of shells; bilinear degenerated shell element strain-displacement matrix, stress-displacement matrix, element stiffness matrix, 8 noded shell element, analysis using finite element computer codes.  

  C.S.Krishnamoorthy, " Finite element analysis, theory and programming", Tata McGraw Hill
Cook R.D., Malkus, D.S. and Plesha, M.E., Concepts and Applications of Finite Element Analysis, Third Edition, John Wiley, 1989. 
O.C. Zienkiewicz, The Finite Element Method, Tata McGraw-Hill.

Elastic Stability & Behaviour of Metal Structures

Elastic Stability – 2/3 weightage,

Behaviour of Metal Structures- 1/3 weightage

Elastic Stability :

Concept of stability, static, dynamic and energy criterion of stability; Beam-columns; differential equations for beam-columns, beam-columns subjected to transverse load, beam-columns subjected to end moments, application of Trigonometric series.

  Elastic buckling of bars and frames; Euler column formula, buckling of frames, torsional buckling, pure torsion of thin-walled bars of open cross section, nonuniform torsion of thin-walled bars of open cross section, buckling by torsion and flexure, warping torsion.

   Lateral buckling of beams; differential equations for lateral buckling, lateral buckling of beams in pure bending, lateral buckling of a cantilever beam and a simply supported I beam, , Torsional stability of beams

bending of thin plates; bending of plates by distributed lateral load.

Behaviour of Metal Structures

Structural steel, brittle fracture and fatigue, plastic behaviour of flexural member, plastic analysis of beams and rigid frames, upper and lower bound theorems, mechanism and equilibrium methods, plastic design of beams and frames, design of light weight gauge sections

• Timoshenko, S.P. and Gere, J.M., Theory of elastic stability, 1963, McGraw-Hill, London,  

• D.O.Brush and B.O.Almorth, " buckling of bars, plates and shells".

Arya & Ajmani,"Design of Steel Structures" B.G.Neal," Plastic Methods of Structural Analysis", Chopman & Hall Galambus, T.V., " Structural Members and Frames", Prentice Hall INC. Trahair, N.S., "The Behaviour and Design of Steel Structures", Chapman & Hall, London-1977.

Behaviour & Design of Reinforced Concrete Structures

Limit state design concepts in flexure, shear, torsion and combined stresses.

Slender column, safety and serviceability, control of cracks and deflections.

Yield line theory analysis of slabs, work and equilibrium methods.

Introduction to limit design of beams and frames.

Park & Paunlay,"Reinforced Concrete Structures".

Ramakrishna & Arthur,"Ultimate strength design for structural concrete".

B.I.S. Codes

ELECTIVES - III & IV

Advanced Steel Design

Properties of structural steel, hot rolled sections, methods of design, design criteria, strength criteria, behavioral characteristics of steel, bolted and welded connections, Composite beams; determinate and indeterminate composite beam system, Behaviour of bracing system, concepts in force distribution and drift assessment of frame structures, Design of a ductile frame; conceptual design to an earthquake criterion and wind criterion, seismic frame-beam to column connectors.

Wind frame- beam to column connectors, column to column connections, frame to column base connections.

Robert Englekirk, "Steel Structures, Controlling Behaviour Through Design", John Wiley & Sons

Earthquake and Wind Resistant Design of Structures

Earthquake resistant design- 2/3 weigtage,
Wind resistant design- 1/3

Earthquake resistant design:

Characterization of ground motion; Earthquake intensity and magnitude; Structural behaviour under dynamic loads, Characteristics of seismic load on structures.

The response spectrum, Behaviour of masonry and framed structures subjected to ground motions, lateral force evaluation by mode superposition, concept of earth quake resistant design, concept of ductility, design examples., Reinforcement detailing for members and joints, Codal provisions.

Codal provisions based on IS:1893-2002 and IS:13920:1993, strengthening of existing buildings through retrofitting.

Wind resistant design:

    Short and long term statistics of wind; static wind load; effect of size, shape and frequency; aerodynamic admittance function and gust factor, spectral response due to wind for various types of structures; wave loads by Morison's equation; static and dynamic analysis of fixed structures; use of approximate methods.

Newmark N.M. and Rosenblueth E., 'Fundamentals of Earthquake Engg.', Prentice Hall, 1971.

• David Key, 'Earthquake Design Practice for Buildings', Thomas Telford, London, 1988.

• Blume J.A., Newmark N.M., Corning L.H., 'Design of Multi-storied Buildings for Earthquake ground motions', Portland

• Simiu E. and Scanlan R.H., 'Wind Effects on Structures', Wiley, New York, 1978.

High Rise Structures

Analysis of tall building frames, lateral load analysis, multi bay frames, gravity loads, settlement of foundation.

Analysis of shear walls, plane shear walls, infilled frames, coupled frames, frames with shear walls.

Principle of three dimensional analysis of tall buildings, perforated cores.

Pure torsion in thin tubes, bending and warping of perforated cores, analysis of floor, system in tall buildings, Vierendal girders, elastic and inelastic stability of frames and shear walls.

Hart, F., et al," Multi Storey Buildings in Steel", Granada Publishing, London, NY-1978. Schueller Woifgang, "The Design of Building Structures," Prentice Hall , N.J. 1996.

Advanced Foundation Engineering

Bearing capacity of inclined footings, footings on slope, footings on layered soil and seismic bearing capacity of foundations.

Load carrying capacity and settlement of vertical and lateral loaded pile foundation.

Reinforced earth retaining walls and slopes subjected to static and seismic forces.

Braced excavation, sheet piles and well foundation. dynamic analysis of foundations.

B.M. Das "Advanced Foundation Engineering", Brookes and Cole India.

J. Bowels " Foundation analysis" "McGrawHill Publishers.

Rao, NSVK, "Vibration analysis and foundation dynamics", A.H. Wheeler & Co., New Delhi, India.

Composite Structures:
Introduction: definition and characteristics, fibres, matrices, fibre reinforced composites, advantages and limitations, basic concepts and characteristics: isotropy, orthotropy, classification, limina and laminate, micromechanics and macro mechanics, constituent materials and properties.

Elastic behaviour of unidirectional lamina: specially orthotropic and transversely isotropic material, relation between mathematical and engineering constants, stress strain relations for thin lamina, transformation of stress and strain, transformation of elastic parameters, transformation of stress-strain relations in terms of engineering constants.

Elastic behaviour of multidirectional laminates, symmetric and balanced laminates, design considerations, computational procedure for finding engineering elastic properties, stress and failure analysis of multidirectional laminates.

Bending of laminated composite plates, thin laminated plate theory, deflection of all edges simply supported rectangular symmetric cross-ply laminate, two opposite edges simply supported.

I.M. Daniel & O. Ishai, "Engineering Mechanics of Composite Materials", Oxford University Press S.W.Tsai & H.T.Hahn, "Introduction to Composite Materials: Technomic Publishing Co.INC, USA P.K.Sinha, "A short term course on Composite Materials and Structures"-1996

Sessionals:

1. CAD Lab: Introduction to computer aided design and drafting, application to structural engineering problems using commercial software, use of SAP software, graphic packages

2. Seminar