JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

NUMERICAL ANALYSIS LAB

M.Tech I Year (R22)

Course Objectives:

  • 1. To solve a system of linear and non-linear equations
  • 2. To draw best fit curve for the given data set
  • 3. To find numerical solutions by FDM and FEM
  • 4. To solve ordinary and partial differential equations numerically

Course Outcomes

After completion of the course, students should be able to

  • 1. Analyze the beams by solving a system of equations
  • 2. Generate the best fit curves, Sketch the basic 2D, 3D plots
  • 3. Apply the concepts of FDM and FEM to solve Structural Engineering Problems
  • 4. Solve the ODE and PDE and apply to the Structural Engineering Problems

LIST OF EXPERIMENTS:

  • 1. Overview of MATLAB, Matrix operations (Addition, Subtraction, Multiplication, Transpose)
  • 2. Solution of simultaneous equations using matrix inversion – Resolution of forces and moments and finding the reactions on a beam.
  • 3. Solution of system of linear equations using Gauss Elimination method - Application to the analysis of indeterminate beams
  • 4. Solution of System of linear equations using Gauss Seidal iteration Method – Application to the analysis of portal frames
  • 5. Finding the Roots of non-linear equations using Newton – Raphson Method - Application for finding the slopes and deflections in determinate beams
  • 6. Finding the Solution of an Eigen Value problem – Application to a multistory RC building for determining the Time periods and Mode shapes.
  • 7. Numerical Integration using Trapezoidal & Simpson’s Rule – Application for finding the Areas and Volumes of a given plot.
  • 8. Numerical solution of ordinary differential equations by Runge- Kutta method
  • 9. Numerical solution of second and higher order differential equations
  • 10. Plotting Simple Graphs, Basic 2D Plots, 3D Plots M. Tech in COMPUTER AIDED STRUCTURAL ENGINEERING I YEAR II – SEMESTER

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