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Code: 9D12103
M.Tech I Semester Regular & Supplementary Examinations February 2016
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NUMERICAL METHODS
(Geotechnical Engineering)
(For students admitted in 2011, 2012, 2013, 2014 & 2015 only)
Time: 3 hours
Max Marks: 60
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Answer any FIVE questions
All questions carry equal marks
- (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. - Find & at x = 53 from the following data using Newton's forward difference.
X 50 60 70 80 90 y 19.96 36.65 58.81 77.21 94.61 - Using Taylor's series method, find the values of x and y for t = 0.4 satisfying equations:
= x + t, with initial condition x = 0, y = 0, =-1 at t = 0 - (a) Solve the equations:
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X1 + 2X2 + X3 = 2
3X1 + 6x2 + x3 = 1
3x1 + 3x2 + 2x3 = 1
(i) Using Cramer's rule.
(ii) Determining the inverse of the coefficient matrix.--- Content provided by FirstRanker.com ---
(b) What is pivoting in Gauss elimination method? - (a) Solve 2x + y = 3, 2x + 3y = 5 by Gauss Seidel iteration method.
(b) Solve by Jacobi's method:
5x - y + z = 10
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x + y + 5z = -1 with initial values (2, 3, 0). - (a) = x + y + t,
(b) What are the advantages and disadvantages of FEM over conventional methods? - Write down analysis steps for 2D element by using FEM.
- Explain finite element technique using minimization of total potential energy principle.
- 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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This download link is referred from the post: JNTUA M.Tech 2nd Sem last 10 year 2010-2020 Previous Question Papers (JNTU Anantapur)
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