10CV761 Numerical methods in Civil Engineering syllabus for CV


Part A
Unit-1 INTRODUCTION 7 hours

Historical development of Numerical techniques, rolein investigations, research and design in the field of civil engineeringDEVELOPMENT OF ALGORITHM/ FLOW CHARTS FORFOLLOWING METHODS FOR SOLUTION OF LINEARSIMULTANEOUS EQUATION:a) Gaussian elimination method,b) Gauss-Jordan matrix inversion method,c) Gauss-Siedel method andd) Factorization method

Unit-2 APPLICATION OF SOLUTION OF LINEAR SYSTEM OF EQUATIONS TO CIVIL ENGINEERING PROBLEMS 5 hours

Constructionplanning, slope deflection method applied to beams, frames and trussanalysis.

Unit-3 APPLICATION OF ROOT FINDING TO CIVIL ENGINEERING PROBLEMS 6 hours

Development of algorithm for a) Bisection method andb) Newton-Raphson method and its applications for solution of non linearalgebraic and transcendental equations from problems in hydraulics,irrigation engineering, structural engineering and environmental engineering.

Unit-4 APPLICATION OF NUMERICAL INTEGRATION FOR SOLVING SIMPLE BEAM PROBLEMS 6 hours

Development of algorithm fora) Trapezoidal rule and b) Simpson’s one third rule and its application forcomputation of area of BMD drawn for statically determinate beams.

Part B
Unit-5 6 hours

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

Unit-6 DEVELOPMENT OF ALGORITHM AND APPLICATION OF SOLUTION OF ORDINARY DIFFERENTIAL EQUATION TO CIVIL ENGINEERING PROBLEMS BY 7 hours

a) Euler’s method b) Runge Kutta 4thorder method

Unit-7 APPLICATION OF FINITE DIFFERENCE TECHNIQUE IN STRUCTURAL MECHANICS 8 hours

i. Introduction, expression of derivativesby finite difference: backward differences, forward differences and centraldifferences. ii. Application of finite difference method for analysis ofa) statically determinate beams, b) statically indeterminate beams

Unit-8 7 hours

Application of Finite difference technique in structural mechanics (Contd..)a) Buckling of columns, b) Beams on elastic foundation.

Last Updated: Tuesday, January 24, 2023