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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

This post was last modified on 17 May 2020

This download link is referred from the post: OU B.Com Last 10 Years 2010-2020 Question Papers || Osmania University


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DR. BABASAHEB AMBEDKAR TECHNOLOGICAL UNIVERSITY, LONERE

End Semester Examination — May 2019

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Course: B. Tech in -Civil Engineering Sem : IV

Subject Name: Numerical Methods in Engineering Subject Code:BTCVE404A

Max Marks: 60 Date:- 22/05/2019 Duration:-3 Hr.

Instructions to the Students:

  1. Each question carries 12 marks.
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  3. Attempt any five questions of the following.
  4. Illustrate your answers with neat sketches, diagram etc., wherever necessary.
  5. If some part or parameter is noticed to be missing, you may appropriately assume it and mention it clearly.

Q.1 A) Solve the following equations by using Gauss Jordan method 6

2x1+ 4x2 - 6x3=-8

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x1+ 3x2+x3= 10

2x1-4x2-2x3=-12

B) Write the working rule of Gauss Seidel method for the following equations 6

a1x + b1y+c1z=d1

a2x + b2y+c2z=d2

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a3x + b3y+c3z=d3

Q.2 A) If dy/dx = x+y2 and y= 1 at x= 0, find an approximate value of y at x=0.2 6

By Euler’s modified method taking h= 0.1.

B) Using Secant method find the root of the equation x2 + 2x - 0.5 = 0 upto 3 6

decimal places.

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Q.3 A) Find the polynomial f(x) by using Lagrange’s formula and hence find f(3) for 6

X 0 1 2 5
f(x) 2 3 12 147

B) A simply supported beam of span L and constant EI supports a concentrated 6

load P at centre of span. Estimate maximum deflection in the beam.

Q.4 A) Evaluate the following integral using Simpson’s 1/3 rule 6

1) ∫exdx , ∫sin(x) dx

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B) Explain trapezoidal rule and Simpsons 3/8 rule. 6

Q.5 A) Fit a second order polynomial to the data in the table below: 6

X 1.0 2.0 3.0 4.0
y 6.0 11.0 18.0 27.0

(B) Calculate mean and standard deviation for the data 6

X 0-10 10-20 20-30 30-40 40-50
f(x) 5 7 10 16 11

Q.6 A) Write the algorithm for Bisection method 6

B) Write the algorithm for Newton Raphson Method 6

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End

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This download link is referred from the post: OU B.Com Last 10 Years 2010-2020 Question Papers || Osmania University