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GUJARAT TECHNOLOGICAL UNIVERSITY
SEMESTER-VI(NEW) — EXAMINATION — SUMMER 2019
Subject Code:2161903 Date:21/05/2019
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Subject Name:Computer Aided Design
Time:10:30 AM TO 01:00 PM Total Marks: 70
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Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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| Marks | |
| Q.1 (a) How many bytes are used for 1 MB requirement? A raster system has resolution 1024 x 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 Pi(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 Po(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 P2. 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: (1) 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. --- Content provided by FirstRanker.com --- 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 mm², A2=1200 mm² and E=200GPa for the two bar truss shown in figure 1. | 07 |
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| 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,y1)=(1.5,2), (x2,y2)=(7,3.5) and (x3,y3)=(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 mm², E1=70GPa, A2=600 mm² and E2=200GPa. Calculate the following (i) The nodal displacement (ii) Stresses in each element (iii) Reactions at supports | 07 |
| Figure 2 | |
| 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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