Download DBATU B-Tech 3rd Sem and 4th Sem 2019 May Numerical Methods in Engineering Question Paper

Download DBATU (Dr. Babasaheb Ambedkar Technological University) B.Tech 3rd Sem and 4th Sem 2019 May Numerical Methods in Engineering Question Paper

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DR. BABASAHEB AMBEDKAR TECHNOLOGICAL UNIVERSITY, LONERE
End Semester Examination ? May 2019
Course: B. Tech in -Civil Engineering
Subject Name: Numerical Methods in Engineering
Max Marks: 60 Date:? 22/05/2019
Sem : IV
Subject CodezBTCVE404A
Duration:- 3 Hr.
Q.1 A)
13)
Q.2 A)
3)
Q.3 A)
3)
Q.4 A)
Instructions to the Students:
1. Each question carries 12 marks.
2. Attempt any five questions of the following.
3. Illustrate your answers with neat sketches, diagram etc., wherever necessary.
4. If some part or parameter is noticed to be missing, you may appropriately
assume it and mention it clearly.
Solve the following equations by using Gauss Iordan method
2X1+ 4x2 - 6X3 = -8
X1+ 3x2 + X3 = 10
2X1 - 4X2 -2X3 = ?12
Write the working rule of Gauss Seidel method for the following equations
a1x + b1y+C1z= d1
azx + b2y+czz= d2
a3X + b3y+C3Z= d3
If dy/dx = x+y2 and y= 1 at X: 0, find an approximate value ofy at x=0.2
By Euler's modified method taking h: 0.1.
Using Secant method ?nd the root of the equation x2 + 2x - 0.5 = O upto 3
decimal places.
Find the polynomial f(x) by using Lagrange?s formula and hence find f(3) for
x 0 1 2 5
f(x) 2 3 12 147
A simply supported beam of span L and constant E1 supports a concentrated
load P at centre ofspan. Estimate maximum de?ection in the beam.
Evaluate the following integral using Simpson?s 1/3 rule
71?
1) fie" dx 2) fgx/sinx dx
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13)
(2.5 A)
(B)
Q.6 A)
3)
Explain trapezoidal rule and Simpsons 3 /8th rule.
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Fit 3 second order polynomial to the data in the table below:
X 1.0 2.0 3.0 4.0
y 6.0 11.0 18.0 27.0
Calculate mean and standard deviation for the data
x 0?10 10?20 20?30 30?40 40?50
f(x) 5 7 10 16 11
Write the algorithm for Bisection method
Write the algorithm for Newton Raphson Method
End
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