# Rr410101 Computer Aided Analysis Design

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Code No: RR410101 Set No.1 IV B.Tech. I Semester Supplementary Examinations, February -2007 COMPUTER AIDED ANALYSIS & DESIGN (Civil Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks 1. Explain concepts of engineering analysis in computer aided system. 2. Explain various features of computer modelling. 3. Explain software conﬁguration of a graphic system. [16] [16] [16] 4. A point in two dimensions is located at (3, 4). It is desired to reloca
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Code No: RR410101 Set No.1 IV B.Tech. I Semester Supplementary Examinations, February -2007COMPUTER AIDED ANALYSIS & DESIGN(Civil Engineering)Time: 3 hours Max Marks: 80Answer any FIVE QuestionsAll Questions carry equal marks      1. Explain concepts of engineering analysis in computer aided system. [16]2. Explain various features of computer modelling. [16]3. Explain software conﬁguration of a graphic system. [16]4. A point in two dimensions is located at (3, 4). It is desired to relocate the pointby means of rotation and scaling transformations only (no translation) to a newposition deﬁned by (0, 8).(a) Describe the sequence of transformations required to accomplish the movementof line as speciﬁed.(b) Write transformation matrix for each step in the sequence.(c) Write concatenation transformation matrix for the sequence. [8+4+4]5. Explain fundamental concepts in Finite diﬀerence method and explain how it cansolve complicated engineering problems. [16]6. Generate the stiﬀness matrix for the rigid frame shown in Figure 1. EI is constantfor all the members. [16]Figure 1:7. (a) Deﬁne the following terms.i. Convex polyhedronii. Feasible solutioniii. Basic solution1 of 2  Code No: RR410101 Set No.1 (b) A Person running a warehouse purchases and sells identical items. The ware-house can accommodate 1000 such items. Each month, the person can sellany quantity he has in stock. Each month, he can buy as much as he likes tohave in stock for delivery at the end of the month, subject to a maximum of 1000 items. The forecast of purchase and sale prices for the next 6 months isgiven below.Month 1 2 3 4 5 6Pruchase price (Rs.) 12 14 17 19 20 21Sale price (Rs) 13 15 16 20 21 23If at present he has a stock of 200 items, what should be his policy? [6+10]8. Solve the following simple linear programming problem by Revised simplex method.Maximize z = 2 x 1 + x 2 Subject to 3 x 1 + 4 x 2 ≤ 66 x 1 + x 2 ≤ 3, x 1 ,x 2 ≥ 0.[16]      2 of 2  Code No: RR410101 Set No.2 IV B.Tech. I Semester Supplementary Examinations, February -2007COMPUTER AIDED ANALYSIS & DESIGN(Civil Engineering)Time: 3 hours Max Marks: 80Answer any FIVE QuestionsAll Questions carry equal marks      1. Explain concepts of engineering analysis in computer aided system. [16]2. What are the various hardware features of Computer Aided Design system? [16]3. List out various transformations used in Computer Aided Design graphics. [16]4. A triangle is deﬁned in a two-dimensional system by vertices A(0,2) and B(0,3) andC(1,2). Perform the following transformations on this triangle.(a) Scale the triangle by a factor 1.5 about vertex A.(b) Scale the srcinal triangle by a factor 1.5 in x- direction and 2.0 in the ydirection about the vertex B.(c) Rotate the original triangle by 45 degrees about the origin. [6+6+4]5. Explain backward, central and forward diﬀerence in Finite diﬀerence concepts. [16]6. Analyse the frame shown in ﬁgure 2 by stiﬀness method for the member forces anddisplacements. Consider only ﬂexural deformation. EI is constant.Figure 2:7. A ﬁrm manufactures two products A & B on which the proﬁts earned per unit areRs 3/- and Rs 4/- respectively. Each product is processed on two machines M  1 and M  2 . Product A requires one minute of processing time on M  1 and two minutes on M  2 , while B requires one minute on M  1 and one minute on M  2 . Machine M  1 isavailable for not more than 7 hours 30 minutes, while machine M  2 is available for10 hours during any working day. Find the number of units of products A and Bto be manufactured to get maximum proﬁt. Formulate linear programming modeland solve the problem graphically. [16]1 of 2  Code No: RR410101 Set No.2 8. Solve by the revised simplex method.Maximize z = 6 x 1 − 2 x 2 + 3 x 3 Subject to 2 x 1 − x 2 + 2 x 3 ≤ 2 x 1 + 4 x 3 ≤ 4 , x 1 ,x 2 ,x 3 ≤ 0. [16]      2 of 2

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