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Gujarat Technological University

This document contains an exam for a Computer Aided Design course. It consists of 5 questions covering various topics related to CAD. Question 1 covers solid modeling concepts, CAD implementation, and finite element analysis. Question 2 discusses applications of optimization and 2D transformations. Question 3 lists graphic standards, compares modeling techniques, and covers curve representations. Question 4 defines geometric transformations and asks students to perform various matrix operations related to transformations. Question 5 discusses finite element analysis elimination approaches, optimization concepts, and asks students to calculate stiffness matrices for a stepped bar problem.

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190 views2 pages

Gujarat Technological University

This document contains an exam for a Computer Aided Design course. It consists of 5 questions covering various topics related to CAD. Question 1 covers solid modeling concepts, CAD implementation, and finite element analysis. Question 2 discusses applications of optimization and 2D transformations. Question 3 lists graphic standards, compares modeling techniques, and covers curve representations. Question 4 defines geometric transformations and asks students to perform various matrix operations related to transformations. Question 5 discusses finite element analysis elimination approaches, optimization concepts, and asks students to calculate stiffness matrices for a stepped bar problem.

Uploaded by

feyayel990
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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Seat No.: ________ Enrolment No.

___________

GUJARAT TECHNOLOGICAL UNIVERSITY


BE - SEMESTER– VI (NEW) EXAMINATION – WINTER 2021
Subject Code:3161903 Date:26/11/2021
Subject Name:Computer Aided Design
Time:10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
4. Simple and non-programmable scientific calculators are allowed.

MARKS
Q.1 (a) What do you understand by geometry and topology in solid modelling? 03
(b) What do you mean by Computer Aided Design (CAD)? 04
Discuss reasons for implementing CAD in industry.
(c) Explain the concept of finite element method. Discuss about various steps 07
involved in finite element analysis.

Q.2 (a) Discuss applications of optimization in engineering. 03


(b) Derive the 2-D transformation matrix for the Rotation. 04
(c) Identify the pixel locations that will be chosen by the DDA algorithm 07
while scan converting a line from screen coordinate (10, 30) to (19, 36).
OR
(c) What is meant by a scan conversion? Explain Bresenham’s circle 07
drawing algorithm.
Q.3 (a) Enlist various graphic standards with full name. 03
(b) Differentiate between wireframe modeling and solid modeling technique 04
for CAD.
(c) Compare explicit and implicit non parametric representation of curve. 07
Explain the parametric representation of a curve and its advantages over
nonparametric representations with suitable example.
OR
Q.3 (a) Prepare the detailed specification for a CAD workstation. 03
(b) Distinguish between B-Rep and C-Rep of Solid modeling techniques. 04
(c) The vertices of a Bezier polygon are: (2,2), (3,4), (4,4) and (5,4) 07
respectively. Determine four points on Bezier Curve.
Q.4 (a) What is Geometric Transformation? 03
(b) Find reflection matrix, when the axis of reflection is given by the 04
equation y=5x.
(c) A Triangle PQR with Vertices P (2,5) Q (6,7) and R (2,7) is to be 07
reflected about line Y = 0.5X + 3. Determine the Concatenated
transformation matrix.
OR
Q.4 (a) State the advantage of homogenous coordinate transformation. 03
(b) Distinguish between Geometric Transformation and Geometric 04
Mapping.
(c) The composite transformation of the graphics elements consists of the 07
following operations.
(i) The rotation through 1200 about Z- axis.
(ii) The translation through 10 and -20 units along X and Y directions
respectively.
1
(iii)The rotation through 300 about X- axis.
Write the homogenous transformation matrices for the above operation
and develop the composite transformation matrix, if operation is done
above sequence.
Will the sequence operation affect the end results?
Q.5 (a) Explain Elimination approach for FEA. 03
(b) Explain the following with reference to optimization: 04
i) Objective function ii) Constraints
(c) A stepped bar as shown in figure is subjected to an axial load P = 200 07
KN applied at 20° C to the end. The temperature of the bar is raised by
50 ° C.
Calculate:
(i) Element stiffness matrix (ii) Global stiffness matrix
Consider E1 = 70 x 103 N/mm2, E2 = 200 x 103 N/mm2,
A1 = 700mm2, A2 = 1000mm2,
α1 = 23 x 10-6 per °C and α2 = 11.7 x 10-6 per °C

OR
Q.5 (a) Discuss quadratic shape functions and their uses. 03
(b) What do you mean by primary and subsidiary design equation? 04
(c) Evaluate the shape functions N1, N2 and N3 at the interior point P 07
(3.85,4.8) for the triangular element shown in figure.

*************

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