M Tech in Civil Engineering

(Specialisation: Structural Engineering)


Semester – 1


Semester - 2






Course No

Course Name



Course No

Course Name


CE 501

Continum Mechanics



CE 504

Advanced Structural Design


CE 502

Finite Element Methods



CE 505

Analysis and Design of Bridges


CE 503

Structural Dynamics



CE xxx

Elective II


CE 512

Structural Engineering Laboratory



CE xxx

Elective III


CE xxx

Elective I



CE xxx

Elective IV










Total Credits:




Total Credits:








Semester - 3



Semester 4







Course No

Course Name



Course No

Course Name


CE 698

M Tech Project - I



CE 699

M Tech Project - II










Total Credits:




Total Credits:






CE 501 CONTINUUM MECHANICS        (3 0 0 6)


Basic concepts of the theory of continuous media; introduction to tensor algebra; theory of stresses; infinitesimal and finite strains; strain-displacement relationships; compatibility; stress-strain relationships; boundary value problem in elasticity; plane stress and plane strain case; stress function approaches; plane problems in Cartesian and polar coordinates; elements of plasticity; yield criteria; flow rule and hardening.


Plastic stress-strain relationships; variational methods; Introduction to Hamilton’s principles; Rayleigh-Ritz and Weighted residual methods; Introduction to thin plates; stability theory; torsion of non-circular sections.




1.     D.S. Chandrasekharaiah and L. Debnath, Continuum Mechanics, Prism Books Pvt. Ltd., Bangalore, 1994. 

2.     S. Timoshenko and J.N. Goodier, Theory of Elasticity, McGraw Hill Book Company, International Ed, 1970.




  1. I. H. Shames and F. A. Cozzarellie, Elastic and Inelastic Stress Analysis, Prentice Hall New Jersey 1992.
  2. S.P. Timoshenko and S.W. Krieger, Theory of Plates and Shells, McGraw Hill International Ed, 1959.



CE 502 FINITE ELEMENT METHOD      (3 0 0 6)


Introduction to FEM; governing equation and its solution approximations (e.g. Collocation, Least Squares, Galerkin’s method, the Ritz method); introduction to calculus of variations; concept of discretization of structures and shape functions; Lagrangian and serendipity elements; isoparametric formulation. Analysis of framed structures: plane stress and plane strain problems; axisymmetric problems; 3D stress analysis; analysis of plate and shell. Numerical integration and order of integration: error analysis and convergence; computer implementations of algorithms. Application of FEM in dynamics: eigenvalues and orthogonality.




1.     J.N. Reddy, An Introduction to the Finite Element Method, Tata McGraw Hill, 2nd Ed, 2003.

2.     C.S. Krishnamoorthy, Finite Elements Analysis: Theory and Programming, Tata McGraw Hill, 2nd Ed, 1994.




1.     R.D. Cook, D.S. Malkus and M.E. Plesha, Concepts and Applications of Finite Element Analysis, John Wiley & Sons, 4th Ed, 2002. 

2.     O.C. Zienkiewicz, R.L. Taylor and J.Z. Zhu, Finite Element Method Its Basis and Fundamentals, Elsevier, 6th Ed, 2005.

3.     S.S. Rao, Finite Element Method in Engineering, Butterworth Heinemann, 3rd Ed, 1999.

4.     M.B. Kanchi, Matrix Method of Structural Analysis, Wiley Eastern Limited, 2nd Ed, 1993.

5.     K.J. Bathe, Finite Element Procedures, Prentice Hall of India Pvt. Ltd., 2002.






Pre-requisite: Nil


SDOF systems: Equations of Motion, Free vibration, damping, Forced vibrations under harmonic, impulse and general loadings, Response spectrum Generalized SDOF systems: Rigid body distributed mass and stiffness systems; MDOF Systems: Dynamic properties, modal damping, classical damping, modal superposition methods; Numerical methods in dynamics: Eigen value analysis, direct integration scheme: Continuous systems: Equations of motion, Hamilton’s principle, Lagrangian formulation, Free and force vibration scheme, Wave propagation; Introduction to Random vibration: Random variables, Random process,moment and characteristic function, spectral analysis, response to random excitation; Application of structural dynamics in the design of block and frame foundation.




1. R.W. Clough and J. Penzien, Dynamics of Structures, Second edition, McGraw Hill international edition, 1993.

2. Mario Paz, Structural dynamics, CBS Publishers 1987.

3. Anil K. Chopra, Dynamics of structures: Theory and applications to earthquake engineering, PHI Ltd., 1997.

4. K. Rao, Vibration analysis and foundation dynamics, Wheeler, 1998.

5. E. Siniu and R. H. Scanlan, Wind effects on structures: fundamentals and applications to design, John Wiley and Sons, 1997.






List of experiments: (a) Mix design for high strength concrete, use of admixture/plasticizer; (b) Non destructive evaluation of strength of concrete/steel specimens; (c) Study of loading and response measuring systems; (d) Testing of beams subjected to transverse (static/dynamic) loading; (e) Testing of prestressed concrete beams; (f) Testing of slab – study of flexural and punching failure; (g) Free and forced vibration studies using FFT analyser; (h) Loading and deflection measurement in a space truss system; (i) Natural frequencies and mode shapes of structures; (j) Evaluation of structural damping.





1.    H.G. Harris and G.M. Sabnis, Structural Modeling and Experimental Techniques, 2nd Ed, CRC Press, 1999.

2.    E. Bray and R. K. Stanley, Non Destructive Evaluation, CRC Press, 2002.

3.   J.W. Dally and W.F. Riley, Experimental Stress Analysis, McGraw Hill, 3rd Ed, 1991.

4.    J.F. Doyle, Modern Experimental Stress Analysis, John Wiley and Sons, 2004.

5.     P.C. Aitcin, High-Performance Concrete, E & FN SPON, 1998.






Design philosophy, modeling of loads, material characteristics.

Reinforced Concrete -- P-M, M-phi relationships; strut-and-tie method; design of deep beam and corbel; design of shear walls; compression field theory for shear design; design against torsion; Indian and ACI Standards; Eurocode.

Steel structures -- stability design; torsional buckling (pure, flexural and lateral); design of beam-columns; fatigue resistant design; Indian and AISC Standards; Eurocode.




1.    S.U. Pillai and D. Menon, Reinforced Concrete Design, Tata McGraw-Hill, 3rd Ed, 1999. 

2.    N. Subramaniam, Design of Steel Structures, Oxford University Press, 2008.




1.     S. Chandrasekaran, L. Nunziante, G. Serino and F. Carannante, Seismic Design Aids for Nonlinear Analysis of Reinforced Concrete Structures, Taylor and Francis, 2010.

2.      R. Ranganathan, Structural Reliability: Analysis and Design, Jaico Publishers, 1999.

3.    R. Park and T. Paulay, Reinforced Concrete Structures, John Wiley & Sons, 1995.

4.    P.C. Varghese, Advanced Reinforced Concrete Design, Prentice Hall of India, 2nd Ed, 2005.

5.    C-K Wang, C.H. Solomon and J. A. Pincheira, Reinforced Concrete Design, John Wiley and Sons, 7th Ed, 2007.

6.    J.G. MacGregor and J.K. Wight, Reinforced Concrete: Mechanics and Design, Pearson Education, 5th Ed, 2008.

7.    T.T.C. Hsu and Y.L. Mo, Unified Theory of Concrete Structures, John Wiley & Sons, 2010.

8.    C.G. Salmon, J.E. Johnson and F.A. Malhas, Steel Structures Design and Behavior Emphasizing Load and Resistance Factor Design, Pearson Education, 5th Ed, 2009.

9.    IS 456: 2000 – Plain and Reinforced Concrete – Code of Practice, Bureau of Indian Standards, 2000.

10.  SP 34: 1987 – Handbook of Concrete reinforcement and Detailing, Bureau of Indian Standards, 1987.

11.  IS 800: 2007 – General Construction in Steel - Code of Practice, Bureau of Indian Standards, 2007.

12.  ACI 318:2008 – Building Code Requirements for Structural Concrete, American Concrete Institute, 2008.

13.  Specification for Structural Steel Buildings, American Institute of Steel Construction, 2005.

14. Eurocode 2 Part 1-1, BS EN 1992-1-1 Common Rules for Buildings and Civil Engineering Structures, The Institution of Structural Engineers, 2004.

15. Eurocode 3 Part 1-1, BS EN 1993-1-1 Design of Steel Structures General Rules and Rules for Buildings, The Institution of Structural Engineers, 2004




Pre-requisite: CE 503 Structural Dynamics or equivalent


Types of bridges; structural configurations; bridge loading standards in India and other countries (IRC, IRS and AASHTO guidelines); Impact effect; Standard specifications for road and railway bridges; analysis of bridge deck.


Reinforced concrete bridges -- design of deck slab; T-beam bridge; balanced cantilever type; design and details of articulation. 


Prestressed concrete bridges -- Pretensioned and post tensioned concrete bridges; analysis of section for flexure, shear and bond; losses in prestress, deflection of girder; partial prestressing; analysis and design of anchorage block; box girder bridge.


Steel bridges -- steel-concrete composite constructions, shear connectors and their design; types of bearings and layout.


Abutment and piers -- scour at abutment and piers; types of foundations; analysis for stresses and design; introduction to soil-structure interaction.


Numerical modeling and analysis; introduction to earthquake resistant design of bridges.





1.    D. J.  Victor, Essentials of Bridge Engineering, Oxford IBH, 1980.

2.   V. K. Raina, Concrete Bridge Practice Analysis Design and Economics, Tata McGraw Hill, 2nd Ed, 1994.




1.     N. Rajagopalan, Bridge Superstructure, Narosa Publishing House, 2006.

2.     W. F. Chen and L. Duan, Bridge Engineering Handbook, CRC press, 2003.

3.     B. Bakht and L.G. Jaeger, Bridge Analysis Simplified, McGraw Hill, 1987.

4.     E. J. O’Brien, and D. L. Keogh, Bridge Deck Analysis, Taylor and Francis, 1999.

5.     H. Eggert and W. Kauschke, Structural Bearings, Ernst & Sohn, 2002.

6.     T. Y. Lin and N. H. Burns, Design of Prestressed Concrete Structures, John Wiley and Sons, 1981.

7.     L. Fryba, Dynamics of Railway Bridges, Thomas Telford, 1996.