Numerical methods in civil engineering (BCV515A)

Numerical methods in civil engineering

Course Code BCV515A 
CIE Marks 50
Teaching Hours/Week (L: T:P: S) 3;0;0;0 
SEE Marks 50
Total Hours of Pedagogy 40Hrs 
Total Marks 100
Credits 03 
Examination type (SEE) Theory

Module-1

Historical development of Numerical techniques, role in investigations, research and design in the field of

civil engineering development of algorithm/ flow charts for following methods for the solution of linear

simultaneous equation- Gaussian elimination method, Gauss-Jordan matrix inversion method, Gauss-Siedel

method and Factorization method.

Module-2

Development of algorithm for Bisection method.

Newton-Raphson method and its applications for solution of nonlinear algebraic and transcendental

equations from problems in hydraulics, irrigation engineering, structural engineering and environmental

engineering.

Module-3

Numerical differentiation and integration

Approximation of derivatives using interpolation polynomials – Numerical integration using Trapezoidal,

Simpson’s 1/3 rule – Romberg’s Method – Two-point and three-point Gaussian quadrature formulae –

Evaluation of double integrals by Trapezoidal and Simpson’s 1/3 rules. Trapezoidal rule, Simpson’s onethird and their application for computation of area of BMD drawn for statically determinate beams.

Module-4

New Marks method for computation of slopes and deflections in statically determinate beams.

Development of algorithm and application of solution of ordinary differential equation to civil engineering

problems by Euler’s method, Runge Kutta 4th order method

Module-5

Introduction, expression of derivatives by finite difference: backward differences, forward differences, and

central differences. Application of finite difference method for analysis of statically determinate beams,

statically indeterminate beams, Buckling of columns, Beams on elastic foundation.

Suggested Learning Resources:

Books

1. Grewal. B.S. and Grewal. J.S., “Numerical methods in Engineering and Science”, Khanna Publishers, 9th Edition, New Delhi

2. Gerald. C. F., and Wheatley. P. O., “Applied Numerical Analysis”, Pearson Education, Asia, 6th Edition, New Delhi.

3. Chapra. S.C. and Canale. R. P., "Numerical Methods for Engineers, Tata McGraw Hill, New Delhi.

4. Brian Bradie. "A friendly introduction to Numerical analysis", Pearson Education, Asia, New Delhi.

5. Sankara Rao. K., "Numerical methods for Scientists and Engineers", Prentice Hall of India Private, New Delhi.