IFS-Civil-Engineering-2012-Part-1.pdf - r,r~c-r~l Ser·Ace...

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r--------,r~c;;-r~l Ser·Ace Exam\nauon· 20 t2 r- . ~ 1 D-GT-M-Dli'A 1 ~------~~~T~-bENGINEERING Paper I lnme Allowed: Three Hours I I Maximum Marks : 200 I'· INSTRUCTIONS Candidates should attempt Question Nos. 1 and 5 which are compulsory and any THREE of tile remaining questions, selecting at least ONE question from each Section. Assume suitable data, if considered necessary, and indicate tile same clearly. Standard notations are given in tile questions a11d, these twtatio11s have their usual meanings, unless otherwise indicated. All questions have equal marks. Marks allotted to each part/sub-part of a question are indicated against each. Answers must be written in ENGLISH only. Neat sketches may be drawn, wherever required. Important Note : All parts/sub-parts of a question must be attempted contiguously. That is, candidates must finish attempting all the parts I sub-parts of each question they are answering in the answer-book before tt~oving on to the next question. Pages left blank must be clearly struck· out. Answers that follow any pages left blank may not be given credit. (Contd.)
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\ Section- A 1. (a) (i) Explain principle of superposition with an example. 4 (ii) State the nature of failure of columns with the relevant equations ·related to stress. 4 (b) Draw qualitatively (without any calculatio.l_l), the deflected shape and BM diagram for any two of the following structures : 8 (i) p Hinge Roller (ii) m /unit length I Hinge Hinge D-GT-M-DFA 2 (Contd.)
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(iii) . p p A ! ~ ~ ! ;a 2L + L + 2L ~I (c) Generate the stiffness matrix for the beam element shown in the following figure for the degrees of freedom 1, 2 and 3. 8 G! EI constanf ~k-------1------~~ 1 1 (d) A cohesionless soil has a permeability of 0·03 em/sec at a void ratio of 0·32. Make the predictions for the permeability of this soil at a void ratio of 0·42 according to functions of void ratio that are proposed. ' 4+4 (e) (i) A pelton wheel develops power of 4470 kW under a head of 122 m at a speed of 200 r.p.m. Assume Cv = ·98, ¢ = 0·46, efficiency = 88% and wheel diameter to jet diameter ratio of 9. Find the discharge required, diameter of wheel · and diameter-of jet and number of jets. D-GT-M-DFA 3 (Contd.)
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2. (a) (ii) For a wide horizontal Rectangular channel, assuming Chezy's coefticient C to be constant in G.V.F. Prove that x = c 2 [y- l ]+constant g 4y~ where y is depth of flow and Yc is the critical depth.
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