Exam Details
| Subject | Computational Methods In Structural Engineering | |
| Paper | ||
| Exam / Course | B.Tech Civi Engg. (BTCLEVI)/B.Tech Electronics And Communication Engg. (BTECVI) | |
| Department | School of Engineering & Technology (SOET) | |
| Organization | indira gandhi national open university | |
| Position | ||
| Exam Date | June, 2016 | |
| City, State | new delhi, |
Question Paper
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. No. of Printed Pages: 3 IBICEE-021!
B.Tech. CML ENGINEERING (BTCLEVI) Term-End Examination 00246 June, 2016
BICEE-021 COMPUTATIONAL METHODS IN STRUCTURAL ENGINEERING
Time hours Maximum Marks: 70
Note: Attempt any five questions. All questions carry equal marks. Use of calculator is permitted.
1. Explain Gauss elimination method. 7
Solve the following equations by Gauss elimination method 7
10x1 -4x2 8x3 10
-4x1 2x2 2x3 2
8x1 2x2 12
2. Define concave and convex functions used in structural optimization. 6
Use the above definitions and show that x^2 is convex. 8
3. Describe geometric programming and express its general mathematical form. 4
State and explain the necessary conditions for optimality in geometric programming. 10
4. Explain primal-dual relationship in linear programming. 6
Write the dual to the following linear programming problem: 8
Maximize z =x1 x2 3x3
Subject to,
x1 x2 x3 10
2x1-x2-x3=<2
2x12x2-3x3=<6
x1,x2,x3>=0
5. Using displacement method, calculate the end deflection and rotation of a cantilever beam loaded uniformly as shown in Figure . EI is constant. <img src='./qimages/10941-5.jpg'>
Note that the structure has two degrees of freedom -one rotation and other translation at the free end. 14
6. In analyzing a plane truss, what are the assumptions made? 4
Find the forces in members of the truss shown in Figure . <img src='./qimages/10941-6b.jpg'>
7. Write short notes on any two of the following: 2x7=14 Branch and Bound Method in Integer Programming Any four major applications of Linear Programming in Structural Analysis Cholesky Method in Structural Analysis Finite Element Method
. No. of Printed Pages: 3 IBICEE-021!
B.Tech. CML ENGINEERING (BTCLEVI) Term-End Examination 00246 June, 2016
BICEE-021 COMPUTATIONAL METHODS IN STRUCTURAL ENGINEERING
Time hours Maximum Marks: 70
Note: Attempt any five questions. All questions carry equal marks. Use of calculator is permitted.
1. Explain Gauss elimination method. 7
Solve the following equations by Gauss elimination method 7
10x1 -4x2 8x3 10
-4x1 2x2 2x3 2
8x1 2x2 12
2. Define concave and convex functions used in structural optimization. 6
Use the above definitions and show that x^2 is convex. 8
3. Describe geometric programming and express its general mathematical form. 4
State and explain the necessary conditions for optimality in geometric programming. 10
4. Explain primal-dual relationship in linear programming. 6
Write the dual to the following linear programming problem: 8
Maximize z =x1 x2 3x3
Subject to,
x1 x2 x3 10
2x1-x2-x3=<2
2x12x2-3x3=<6
x1,x2,x3>=0
5. Using displacement method, calculate the end deflection and rotation of a cantilever beam loaded uniformly as shown in Figure . EI is constant. <img src='./qimages/10941-5.jpg'>
Note that the structure has two degrees of freedom -one rotation and other translation at the free end. 14
6. In analyzing a plane truss, what are the assumptions made? 4
Find the forces in members of the truss shown in Figure . <img src='./qimages/10941-6b.jpg'>
7. Write short notes on any two of the following: 2x7=14 Branch and Bound Method in Integer Programming Any four major applications of Linear Programming in Structural Analysis Cholesky Method in Structural Analysis Finite Element Method
Other Question Papers
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