Download JNTUA M.Tech 1st Sem 2017 Feb 9D12103 Numerical Methods Question Paper

Download JNTUA (JNTU Anantapur) M.Tech ( Master of Technology) 1st Semester 2017 Feb 9D12103 Numerical Methods Previous Question Paper

Code: 9D12103

M.Tech I Semester Regular & Supplementary Examinations January/February 2017
NUMERICAL METHODS
(Geotechnical Engineering)

Time: 3 hours Max. Marks: 60
Answer any FIVE questions
All questions carry equal marks
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1 Using Picard?s, obtain second degree approximation to the solution.


2 Solve the system of equation using Gauss elimination method.


3 (a) State Lagrange's interpolation method and use it to find the value of y at x = 6 from the following data.
X: 3 7 9 10
Y: 168 120 72 63

(b) Explain interpolation by central difference method.

4 (a) Taking E as fundamental operator, prove ? = E ? 1.
(b) Explain Lagrange?s method of inverse interpolation.

5 Find the cubic polynomial which takes the following values:
x: 0 1 2 3
f(x) 1 2 1 10
hence evaluate f(4)

6 (a) Explain displacement approach for finite element analysis based on piecewise approximation.
(b) Write the steps to solve a 2D problem by using finite element method.

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

8 Write short notes on:
(a) Stability analysis of sheet piles.
(b) Positions of anchorage for sheet piles.

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