Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Summer 6th Sem New 2161903 Computer Aided Design Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VI(NEW) ? EXAMINATION ? SUMMER 2019
Subject Code:2161903 Date:21/05/2019
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.
Marks
Q.1 (a) How many bytes are used for 1 MB requirement?
A raster system has resolution 1024 ? 1024. Compute the size of frame
buffer (in Megabytes) to store 12 bits per pixel. If a refresh rate of 60 Hz
non-interlaced then find time require to display a pixel.
03
(b) Draw a block diagram of the manufacturing process of typical product
cycle. Which process is the backbone of the manufacturing process?
04
(c) Rasterize pixel locations for a straight line from A(5,10) to B(15,30) using
DDA.
07
Q.2 (a) The end points of line are P1(1, 6, 8) and P2 (-5, 8, -2). Determine (i)
Parametric equation of line (ii) Tangent vector of line (iii) Length of line
03
(b) Differentiate between analytic and synthetic curves. Explain various types of
continuity used in synthetic curves.
04
(c) The end points of cubic spline curve are P0 (1,2) and P1(7,1). The tangent
vector for end P0 is given by line joining P0 and point P2 (-2,1). The tangent
vector for end P1 is given by line joining P3 (9,-2) and point P1.. Determine
the parametric equation of Hermite?s cubic spline curve Compute points
on curve at u=0.2,0.5 and 0.8.
07
OR
(c) Derive equation of Bezier?s curve with 5 control points. State the order of
the curve generated by these control points. What do you mean by ?Convex
hull? property?
07
Q.3 (a) Write full form of followings:
(i) OLED (ii) LCD (iii) IGES
03
(b) What do you mean by ?Ortho? in Orthographic projection? Derive expression
of top view of an orthographic projection.
04
(c) Derive the equations of linear shape functions. Draw a neat sketch of both
shape functions. What do you mean by ?Iso-parametric formulations? of
the problems?
07
OR
Q.3 (a) Differentiate between Hermite?s cubic spline and Bezier?s Curve. 03
(b) Explain perspective projection with neat sketch. 04
(c) Derive the equation of quadratic shape functions N1, N2 and N3. Draw a
neat sketch of all shape functions.
07
Q.4 (a) State any three methods used to solve structure problems using FEM.
Write various applications areas of FEM.
03
(b) Explain concept of plane stress and plane strain with examples. 04
(c) Write element connectivity table and formulate the global stiffness matrix.
A1=500 mm
2
, A2=1200 mm
2
and E=200GPa for the two bar truss shown
in figure 1.
07
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VI(NEW) ? EXAMINATION ? SUMMER 2019
Subject Code:2161903 Date:21/05/2019
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.
Marks
Q.1 (a) How many bytes are used for 1 MB requirement?
A raster system has resolution 1024 ? 1024. Compute the size of frame
buffer (in Megabytes) to store 12 bits per pixel. If a refresh rate of 60 Hz
non-interlaced then find time require to display a pixel.
03
(b) Draw a block diagram of the manufacturing process of typical product
cycle. Which process is the backbone of the manufacturing process?
04
(c) Rasterize pixel locations for a straight line from A(5,10) to B(15,30) using
DDA.
07
Q.2 (a) The end points of line are P1(1, 6, 8) and P2 (-5, 8, -2). Determine (i)
Parametric equation of line (ii) Tangent vector of line (iii) Length of line
03
(b) Differentiate between analytic and synthetic curves. Explain various types of
continuity used in synthetic curves.
04
(c) The end points of cubic spline curve are P0 (1,2) and P1(7,1). The tangent
vector for end P0 is given by line joining P0 and point P2 (-2,1). The tangent
vector for end P1 is given by line joining P3 (9,-2) and point P1.. Determine
the parametric equation of Hermite?s cubic spline curve Compute points
on curve at u=0.2,0.5 and 0.8.
07
OR
(c) Derive equation of Bezier?s curve with 5 control points. State the order of
the curve generated by these control points. What do you mean by ?Convex
hull? property?
07
Q.3 (a) Write full form of followings:
(i) OLED (ii) LCD (iii) IGES
03
(b) What do you mean by ?Ortho? in Orthographic projection? Derive expression
of top view of an orthographic projection.
04
(c) Derive the equations of linear shape functions. Draw a neat sketch of both
shape functions. What do you mean by ?Iso-parametric formulations? of
the problems?
07
OR
Q.3 (a) Differentiate between Hermite?s cubic spline and Bezier?s Curve. 03
(b) Explain perspective projection with neat sketch. 04
(c) Derive the equation of quadratic shape functions N1, N2 and N3. Draw a
neat sketch of all shape functions.
07
Q.4 (a) State any three methods used to solve structure problems using FEM.
Write various applications areas of FEM.
03
(b) Explain concept of plane stress and plane strain with examples. 04
(c) Write element connectivity table and formulate the global stiffness matrix.
A1=500 mm
2
, A2=1200 mm
2
and E=200GPa for the two bar truss shown
in figure 1.
07
2
Figure 1
OR
Q.4 (a) What is ?Discretization?? Mention the precautions required during
discretization process.
03
(b) Evaluate the shape functions N1, N2 and N3 at the interior point
P(3.85,4.8) for constant strain triangular element. The coordinates of CST
are (x1,y 1)=(1.5,2), (x2,y 2)=(7,3.5) and (x3,y 3)=(4,7) respectively for nodes
1, 2 and 3.
04
(c) Consider a bar as shown in figure 2. An axial load of 200KN is applied at
point P. Take A1=2400 mm
2
, E1=70GPa, A2=600 mm
2
and E2=200GPa.
Calculate the following (i) The nodal displacement (ii) Stresses in each
element (iii) Reactions at supports
Figure 2
07
Q.5 (a) Write matrices for 2D-translation, rotation about Y-axis and scaling for
object in 3D space using homogeneous coordinates.
03
(b) Differentiate between geometry and topology. Write any four properties
of solid models.
04
(c) A triangle ABC is represented as A (12,10), B (20,15) and C (30,30). If it
is mirrored about a line y= -10, determine the new coordinates of the
triangle.
07
OR
Q.5 (a) State various surface entities used for surface modelling. Explain surface
of revolution with at least two examples.
03
(b) What is Constructive Solid Geometry representation approach? Explain
with suitable example.
04
(c) Explain window to view port transformations. 07
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This post was last modified on 20 February 2020