GTU BE/B.Tech 2018 Winter Question Papers || Gujarat Technological University
Subject Name:Computer Aided Design
Time: 02:30 PM TO 05:00 PM Total Marks: 70
3. Figures to the right indicate full marks.
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER-VI (NEW) EXAMINATION - WINTER 2018
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Subject Code:2161903 Date:04/12/2018Subject Name:Computer Aided Design
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
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2. Make suitable assumptions wherever necessary.3. Figures to the right indicate full marks.
| MARKS | ||
| Q.1 (a) | State the various stages for a design process, in which various CAD tools can be used to improve productivity. | 03 |
| (b) | Explain different types of coordinate systems available in CAD softwares. | 04 |
| (c) | Plot intermediate raster locations when scan converting a straight line from screen coordinate (2, 7) to screen coordinate (15, 10) using DDA algorithm. | 07 |
| Q.2 (a) | Explain the concept of homogeneous coordinates and its use in representing geometrical transformation. | 03 |
| (b) | Derive the matrix for orthographic projection matrices for the Top view and Right Hand side view of a 3D model. | 04 |
| (c) | Calculate the concatenated transformation matrix for the following operations performed in the sequence as below: 1) Translation by 4 and 5 units alongX and Y axis i1) Change of scale by 2 units in ‘X direction and 4 units in Y direction ii1) Rotation by 60° in CCW-direction about Z axis passing through the point (4, 4). Find new coordinates when the transformation is carried out on a triangle ABC with A{4,4), B (8, 4) and C (6, 8). | 07 |
| OR | ||
| (c) | A triangle PQR with vertices P (2, 5), Q (6, 7) and R (2, 7) is to be reflected about a line x = 2y — 6. Determine, (i) The concatenated matrix and (i1) The coordinates of the matrices for the reflected triangle. | 07 |
| Q.3 (a) | Explain different types of surfaces used in CAD modeling. | 03 |
| (b) | Explain feature based modeling. | 04 |
| (c) | Plot the Bezier curve having endpoints Po (0, 0) and P3 (7, 0). The other control points are Py (7, 0) and P2 (7, 6). Plot values for u = 0, 0.1, 0.2, ..., 1, if the characteristic polygon is drawn in the sequence Po — P; — P> — Ps. | 07 |
| OR | ||
| Q.3 (a) | Differentiate between Hermite Cubic Splines curves and Bezier curves. | 03 |
| (b) | What do you mean by Iso-parametric representations? Write the equation of a line in parametric form. | 04 |
| Q.4 (a) | Draw a sketch of following elements showing nodes: (1) Quadrilateral (i1) Six noded triangular (iii) Tetrahedral | 03 |
| (b) | Explain penalty approach used in FEA with an example. | 04 |
| (c) | Explain in details : The general procedure of Finite Element Method | 07 |
| OR | ||
| Q.4 (a) | Listvarious engineering application of FEA. | 03 |
| (b) | What do you mean by thermal effects of temperature ? How it is included in calculation for 1-D elements? | 04 |
| (c) | What is shape function? Derive linear shape functions for 1- dimensional bar element in terms of natural coordinate. Also plot variation of shape functions within this element. | 07 |
| Q.5 (a) | List properties of global stiffness matrix [K]. | 03 |
| (b) | Determine the temperature at x = 40 mm (Figure 1), if the temperature at nodes T; = 120 °C, T; = 80 °C and x; = 10 mm and Xj = 60 mm. Consider linear shape function. | 04 |
| (c) | With the help of suitable examples explain condition of plane stress and plane strain. | 07 |
| OR | ||
| Q.5 (a) | Write element stiffness matrix and element load vectors for a beam element. | 03 |
| (b) | What are axisymmetric elements? Explain. | 04 |
| (c) | Consider the bar shown in Figure 2. An axial load P =200 x 10° N is applied as shown. Using the penalty “approach for handling boundary conditions, (a) Determine the nodal displacements (b) Determine the stress in each material. (c) Determine the reaction forces. | 07 |
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