Total No. of Questions : 6] SEAT No. : P4766 [Total No. of Pages : 3 [5060]-590 M.E. (Mechanical - Design Engineering) OPTIMIZATION TECHNIQUES (2013 Pattern) (Semester - III) (Credit System) Time : 3 Hours] [Max. Marks : 50 Instructions to the candidates:- 1) Answer any five questions. 2) Neat diagrams must be drawn wherever necessary. 3) Use of logarithmic tables slide rule, Mollier charts, electronic pocket calculator and stream table is allowed. 4) Figures to the right indicate full marks. 5) Assume suitable data if necessary. Q1) a) Define engineering optimization? What are engineering applications of optimization? [5] b) In a two-stage compressor, the working gas leaving the first stage of compression is cooled (by passing it through a heat exchanger) before it enters the second stage of compression to increase the efficiency. The total work input to a compressor (W) for an ideal gas, for isentropic compression, is given by ªºkk11 ªº «» «» ªºpp¬¼kk ªº ¬¼ k WCT «»23 «» 2 p 1 ¬¼pp12 ¬¼ k1 where C , is the specific heat of the gas at constant pressure, k is the p ratio of specific heat at constant pressure to that at constant volume of the gas, and T1 is the temperature at which the gas enters the compressor. Find the pressure, p at which inter-cooling should be done to minimize 2 the work input to the compressor. Also determine the minimum work done on the compressor. [5] OR c) Explain necessary condition for single variable optimization. [5] P.T.O. Q2) There grades of coal A, B and C contain phosphorus and ash as impurities. In a particular industrial process, fuel up to 100 ton (maximum) is required which should contain ash not more than 3% and phosphorus not more than 0.03%. It is desired to maximize the profit while satisfying these conditions. There is unlimited supply of each grade. The percentage of impurities and the profits of the grades are given below. Coal Phosphorus (%) Ash (%) Profit in rupees per ton A 0.02 3.0 12.00 B 0.04 2.0 15.00 C 0.03 5.0 14.00 Find the proportions in which the three grades be used. [10] Q3) a) Write a short note on Exhaustive search method. [4] b) Minimize the function f(x) = 4x3 + x2 7x + 14 Using Golden Section Method, in the interval of [0, 1] with n = 5. [5] Q4) a) Explain any two in details. [6] i) Fuzzy optimization ii) Simulated Annealing iii) Genetic algorithms b) Minimize the function 0.75 §·1 f ( WDQ 1 ¨¸ Using quasi-Newton method with 1 2 ©¹ the starting point l = 0.1 and the step size Dl = 0.01 in central difference 1 formulas. Use e = 0.01 for checking the convergence. [5] [5060]-590 2 Q5) a) List the different solution methods in topology optimization and explain two of them in details. [5] b) Write a short note on combining topology and shape design. [5] Q6) a) Write a short note on Topology optimization as design tool. [5] b) Write a short note on Bi-directional Evolutionary optimization method.[5] zzz [5060]-590 3 Total No. of Questions : 10] SEAT No. : P558 [Total No. of Pages : 2 [5063] - 330 T.Y. B.Com. (Vocational) COMPUTER APPLICATIONS (2013 Pattern) (Paper - V) Time : 2 Hours] [Max. Marks : 40 Instructions to the candidates: 1) Answer Any Eight questions. 2) All questions carry equal marks. Q1) Explain any five factors influencing the web site design. [5] Q2) What is Information System? Explain any two dimensions of Information System. [5] Q3) Explain B2B and B2C models of E-Commerce. [5] Q4) Explain following HTML tags: [5] a) List. b) Table. Q5) Write a note on Debit Card. [5] Q6) Explain Web Development Process Model with suitable diagram. [5] P.T.O. Q7) Explain the need of Transaction Processing System. [5] Q8) Explain various types of CSS. [5] Q9) Write a note on Digital Signature. [5] Q10) Write HTML Script to display the class timetable of T.Y. B.Com. [5] ZZZ [5063]-330 2 Total No. of Questions : 8] SEAT No. : P5103 [Total No. of Pages : 3 [5060]-501 M.E. (Civil) (Construction and Management) APLLICATIONS OF STATISTICAL METHODS IN CONSTRUCTIONS (2013 Pattern) Time : 3 Hours] [Max. Marks : 50 Instructions to the candidates : 1) Each question carries 10 marks. 2) Solve any 5 questions out of 8. 3) Neat diagrams must be drawn wherever necessary. 4) Figures to right indicate full marks. 5) Use of logarithmic tables, slide rule, electronic pocket calculator and statistical tables is allowed. 6) Assume suitable data, if necessary. Q1) a) If 3 blocks out of 20 are defective and 4 of them are randomly chosen for inspection (i.e. each block has the same chance of being selected), then what is probability that only one of the defective block will be included? [4] b) Explain different rules of probability with examples. [6] Q2) a) In an item of excavation at the contractors cost for particular strata and for a particular quantity of work, following costs have occurred on 10 previous projects. Sr. 1 2 3 45678910 No. Cost 15005 11250 27288 14807 33650 17500 26000 39210 83470 22525 (Rs.) Determine Mean, Standard Deviation, Variance, Coefficient variance, Range, Coefficient of Range for above data. [6] b) Explain discrete probability distributions with construction examples.[4] Q3) The table below gives the number of major and minor accidents that occurred on construction site in various months for particular year. Monts Jan Feb Mar April May June July Aug Sept Oct Nov Dec No.of 6 4 5 9 7 8 10 12 5 7 8 9 Accidents Use χ2 - test to assess the correctness of the hypothesis that accidents were distributed in equal numbers over the different months. Value of χ2 for 11 degree of freedom at 5% level is 19.68. [10] Q4) a) Following readings were recorded while testing concrete cubes: Comp 30 32 34 31 36 29 28 33 35 27 Strength N/mm2 W/C 0.365 0.355 0.340 0.360 0.32 0.370 0.380 0.350 0.330 0.400 Ratio Determine the coefficient of correlation and coefficient of determination Also interpret the same. [7] b) Explain Griffis Model with construction example. [3] Q5) Find the lines of Regression for the following data: [10] x10141926303439382625 y12161826293538303528 And estimate y for x = 14.5 and x for y = 29.5 Q6) a) Explain regression analysis and its types with construction examples.[5] b) Explain EOQ model with its derivation. [5] Q7) A contractor has kept the data of penalty which he had to pay due to delay in project on 7 of his previous executed construction projects. Using Monte Carlo Simulation, simulate the mean penalty which contractor should consider for his 10 future works. [10] Project No. Penalty in (Rs.) 1 5,00,000 2 2,50,000 3 4,50,000 4 3,50,000 5 10,00,000 Use following random numbers. 39 73 72 75 37 02 87 98 10 17 93 21 95 97 69 [5060]-501 2 Q8) a) Perform Sensitivity Analysis for the [5] S = 2,50,000 bags, Co = Rs. 4,000, Cu = Rs. 320, I = 22% During execution, it was observed that the Cu reduced to Rs. 300, S increased by 7%, Co reduced by 4% and I remained same, Determine percentage change in cost? b) Explain ABC analysis with graph. [5] yyy [5060]-501 3 Total No. of Questions : 8] SEAT No. : P4723 [Total No. of Pages : 2 [5060]-502 M.E. (Civil) (Construction & Management) MANAGEMENT & PROJECT PLANNING IN CONSTRUCTION (2013 Pattern) (Semester - I) Time : 3 Hours] [Maximum Marks : 50 Instructions to the candidates: 1) Attempt any five question out of eight. 2) All questions carry 10 marks each. 3) Neat diagrams must be drawn wherever necessary. 4) Assume suitable data if necessary. 5) Figure to the right indicate full marks. 6) Use of electronic calculator is allowed. Q1) a) Explain in brief Fayol's 14 principles of management. [5] b) Discuss in details various functions of management. [5] Q2) a) Explain project life cycle phases in construction of express highway.[5] b) Write short note on: Role & Responsibilities of project manager. [5] Q3) a) Write short note on: Line of balance technique. [5] b) Define work break down structure. Draw work break down structure for dam construction. [5] P.T.O. Q4) Following table gives the cost duration data for various activities of a construction project. The overhead cost is Rs. 3000/- per day. Carry out step by step crashing and find out optimum project duration and optimum cost of the project. [10] Activity Normal Cost(Rs) Crash Cost Duration Duration (Rs) (Days) (Days) 1-2 5 2000 4 2400 1-3 7 4200 5 4600 2-4 3 3000 2 3400 3-4 2 2600 2 2600 3-5 6 2400 4 2800 4-6 5 4000 4 6000 5-6 3 3000 2 4400 Q5) a) Elaborate on the site mobilization techniques required for Commercial Mall construction project in the heart of the city. [5] b) Write short note on: Reporting Technique [5] Q6) a) Explain in detail with example procedure involved in method study. [5] b) Write short note on: Recording techniques of Motion study. [5] Q7) a) Discuss in detail the various causes of accidents on construction site.[5] b) Write short note on: Personal Protective equipment. [5] Q8) a) Discuss the significance of merit rating in construction industry. [5] b) Define the term Job evaluation. Discuss any two methods of job evaluation. [5] 555 [5060] - 502 -2- Total No.