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(Civil) (Construction and Management) MATHEMATICS (2008 Pattern) Time :4 Hours] [Max Total No. of Questions : 8] SEAT No. : P3951 [Total No. of Pages : 4 [4860] - 1 M.E. (Civil) (Construction and Management) MATHEMATICS (2008 Pattern) Time :4 Hours] [Max. Marks :100 Instructions to the candidates: 1) Answer any 3 questions from each Section. 2) Figures to the right indicate full marks. SECTION - I Q1) A contractor bids for 15 construction projects simultaneously. In a period of 3 years, the total projects bidded by the contractor are 60. Determine the probability of the contractor securing. [18] a) Single bid b) 5 bids c) No bid Q2) a) Explain with examples : [6] i) Discrete probability distribution. ii) Continuous probability distribution b) Explain Normal Distribution and its application in Construction project scheduling and cost control. [10] Q3) For the following data, determine various dispersion measures. If standard deviation should not be greater than 5% is the sample to be accepted or rejected? [16] P.T.O. Sample No. Slump (mm) 1 153 2 143 3 150 4 151 5 142 6 155 7 153 8 148 9 141 10 156 Q4) Explain EOQ graphically and discuss its advantages and limitations. Illustrate the sensitivity analysis on the EDQ with a proper examples.[16] SECTION - II Q5) For the data given in Question 7, establish the linear regression equation linking the activity duration in days with the resources consumed and its proper utilization. Comment on the accuracy of the relationship. [16] Q6) Explain Vorster-Sears mathematical model and the waiting line mathematical model with proper examples. [8+8] Q7) The duration of an activity depends upon the resource allocation (ultimately the total money spent) and proper utilization of these resources (Rated on a 10 point scale with higher rating meaning improper utilization) A particular construction activity has the following historical track record. [16] Activity duration (y) days Funds allocated (Rs.) Score for resource (X ) utilization (X ) 1 2 25 25,000 8 10 55,000 3 40 13,000 4 12 50,000 6 15 45,000 9 27 24,000 8 38 14,000 5 45 10,000 7 18 30,000 2 32 17,000 3 [4860]-1 2 Determine a) Individual co-relation coefficients between y and x as well as y and x . 1 2 b) Partial co-relation coefficients between y and x and y with x . 1 2 c) Total co-relation coefficients between y and x and y with x . 1 2 d) Comment on the co-relations obtained. Q8) Prepare a simulation model based on the Monte Carlo simulation, to generate a range of random numbers, for the mean, as well as deviation from the mean, for the actual cost of 20 projects of similar nature as given below. Also run the model in order the estimate the project cost for the next 10 numbers. [18] Project No. Project cost in lakhs 135 220 325 4 37.2 5 55.3 643 7 23.8 8 62.3 9 18.0 10 15.0 11 24.0 12 28.0 13 33.9 14 43.9 15 21.9 16 39.9 17 44.3 18 31.2 19 11.5 20 13.5 [4860]-1 3 SQM A-4 Appendix C kbkb [4860]-1 4 Total No. of Questions : 8] SEAT No. : P3957 [4860] - 10 [Total No. of Pages : 2 M.E. (Civil) (Construction and Management) VALUE ENGINEERING (2008 Pattern) (Elective - II(c)) Time :4 Hours] [Max. Marks :100 Instructions to the candidates: 1) Answer any three questions from each section. 2) Figures to the right indicate full marks. SECTION - I Q1) With a flow diagram, Elaborate the sequential steps to be taken, in value Analysis and Value Engineering. What is the outcome of these steps? Discuss. [18] Q2) Elaborate with examples, the following factors contributing to value :[16] a) Aesthetic b) Ergonomic c) Technical d) Economic Q3) What is life cycle analysis? What is the procedure? What data is needed from a construction project, to perform LCA? Elaborate. [16] Q4) Discuss 3 essential requirements for any commodity to possess value, with examples. Discuss various types of values. [16] P.T.O. SECTION - II Q5) Explain how the organisational information gets co-related with function analysis for implementing value engineering, for items listed below : a) Output from cranes [4] b) Effectiveness of water proofing [4] c) Efficiency in pile driving [4] d) Hazard improvement w.r.t electrical connections [6] Q6) Discuss the problems faced in implementing value analysis by Indian Construction Companies and Suggest remedies to these problems. [16] Q7) Explain any 2 traditional methods and any 2 (DCF) methods used in the forecasting of the capital investments, with examples. [16] Q8) Discuss any 8 commandments of the value analysis, quoting suitable examples. [16] kbkb [4860]-10 2 Total No. of Questions : 10] SEAT No. : P4005 [Total No. of Pages : 3 [4860] - 100 M.E. (Mechanical) (Design Engineering) PROCESS EQUIPMENT DESIGN (2008 Pattern) (Elective - II(b)) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates : 1) Answer any three questions from each section. 2) Answers to two sections should be written in separate books. 3) Neat diagrams must be drawn wherever necessary. 4) Figures to the right indicate full marks. 5) Your answer will be valued as a whole. 6) Use of logarithmic tables, slide rules, Mollier chart, electronic steam table and electronic pocket calculator and steam table is allowed. 7) Assume suitable data, if necessary giving reasons. SECTION - I Q1) a) What is intragranular corrosion and stress corrosion? Explain the ways to avoid or reduce these types of corrosion. [6] b) A storage tank 6 m in diameter and 7.5 m in height has to be provided with self-supported conical roof. The slope of self-supported conical roof is 1 in 5. Roof is subjected to a superimposed load of 125 kg/m2. Density of plate material is 8000 kg/m3. E = 2 × 106 kg/cm2. Calculate minimum thickness required for fabrication of self-supported conical roof. [6] c) What are the role wind girders in open top storage tank? [6] Q2) a) What are different types of removable closures for high pressure vessels? Explain any three of them. [6] b) A tall vessel of 1.5 m in diameter and 13m in height is to be provided with skirt support. The weight of vessel with attachments is 90,000 kg. Skirt diameter is equal to diameter of vessel and height is 2.2 m. Wind pressure on the vessel is 110kg/m3. Seismic coefficient = 0.08. Permissible stress in skirt material is 900 kg/cm2 and permissible compressive stress is 800 kg/cm2. Estimate thickness of support. [10] P.T.O. Q3) a) What are entrainment separators? Explain their applications. [8] b) Explain with neat sketches design of self-supporting conical roof. [8] Q4) a) Explain design of pressure vessel subjected to external pressure. [6] b) A high pressure vessel is to be operated at 100 MN/m2. The inside diameter of vessel is 35 cm. The steel plate with yield strength of 400 MN/m2 is to be used for fabrication. Estimate wall thickness by maximum shear stress theory with factor of safety of 1.5. [10] Q5) Write short notes on any Four : [16] a) Design considerations for process equipment design. b) Various types of roofs for storage vessels. c) Expansion joint used in process piping systems. d) Linings for chemical plants and equipment. e) Design of self-supporting roof for storage vessels. SECTION - II Q6) a) Explain determination of shell thickness for packed distillation columns. [6] b) Explain either contacting devices in plate columns or types of packing in packed columns. [6] c) Explain effect of wind load and seismic load on tall vessels. [6] Q7) a) Give classification of filters and explain leaf filter or rotary drum filter. [8] b) Discuss in detail design of skirt support. [8] Q8) a) Differentiate between batch type driers and continuous driers. [8] b) Explain various safety measures considered in equipment design. [8] [4860] - 100 2 Q9) a) With neat sketches explain construction, working and main design considerations of rotary drier. Give its applications. [8] b) Explain design consideration for shell and tube heat consideration.[8] Q10) Write short notes on any Four : [16] a) Vacuum Crystallizer b) Design of saddle support c) Types Relief valves d) Theories of failure e) Process flow diagrams zzz [4860] - 100 3 Total No. of Questions : 8] SEAT No. : P4479 [4860] -101 [Total No. of Pages : 3 M.E. (Mechanical Engineering - Design Engineering) c-ROBOTICS ( 2008 Course) (Semester - I) (Elective-II) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates: 1) Answer three questions from each section. 2) Answer to the each section should be written in separate books. 3) Figures to the right indicate full marks. 4) Use of electronic pocket calculator is allowed. 5) Assume suitable data, if required. SECTION - I Q1) a) Explain elements of Robotics and its working. [6] b) Give classification of robotic systems used in industry and write a note on one of the them. [10] Q2) a) Explain following terms. [10] i) Point to point control ii) Work volume iii) Spatial resolution iv) Precision and Accuracy v) Continuous path controls. b) Explain step by step procedure for forward kinematics and why inverse kinematics produces multiple solutions? [6] P.T.O. Q3) a) Figure shows a planar three-degrees-of-freedom manipulator. The first two joints are revolute, and the third is prismatic. The end effector position (x, y) is expressed with respect to the (fixed) world coordinate frame (x0, y0), and the orientation of the end effector is defined as the angle of the second link ϕ measured from the x0 axis as shown.
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