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

Code: 9D12103

M.Tech I Semester Regular & Supplementary Examinations January/February 2017

NUMERICAL METHODS (Geotechnical Engineering)

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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.

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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.

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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
   

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   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:
   

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   (a) Stability analysis of sheet piles.
   (b) Positions of anchorage for sheet piles.

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