Download JNTUA M.Tech 1st Sem 2016 Feb Reg-Supple 9D12103 Numerical Methods Question Paper

Download JNTUA (JNTU Anantapur) M.Tech ( Master of Technology) 1st Semester 2016 Feb Reg-Supple 9D12103 Numerical Methods Previous Question Paper

Code: 9D12103


M.Tech I Semester Regular & Supplementary Examinations February 2016
NUMERICAL METHODS
(Geotechnical Engineering)
(For students admitted in 2011, 2012, 2013, 2014 & 2015 only)

Time: 3 hours Max Marks: 60

Answer any FIVE questions
All questions carry equal marks
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1 (a) State Lagrange?s interpolation method and use it to find the value of at from the following data.
x 3 7 9 10
y 168 120 72 63

(b) Explain interpolation by central difference method.

2
Find at from the following data using Newton?s forward difference.
50 60 70 80 90
19.96 36.65 58.81 77.21 94.61


3
Using Taylor?s series method, find the values of and for satisfying equations:
with initial condition .

4 (a) Solve the equations:



(i) Using Cramer?s rule.
(ii) Determining the inverse of the coefficient matrix.
(b) What is pivoting in Gauss elimination method?

5 (a) Solve by Gauss Seidel iteration method.
(b) Solve by Jacobi?s method:


with initial values (2, 3, 0).

6 (a) What are the advantages and disadvantages of FEM over conventional methods?
(b) Write down analysis steps for 2D element by using FEM.

7 Explain finite element technique using minimization of total potential energy principle.

8 Write short notes on:
(a) Types of sheet pile walls.
(b) Stability analysis of sheet piles.
(c) Failure measurement of sheet piles.
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