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- 1. e.J 3€",oev Third Sernester B"E" Degree Exarnination, Ju Engineering Mathematics - Time: 3 hrs. Note: Answer any FIW fwll qwestiomso se{ecting atleast TWO questions from esclt pilrt" a. Find the equation of the best fit straight line for the following data and hence estiinate the value of the dependent variable corresponding to the value of the independent variable x wjth 30. (07 V{arks) 'l IOMAT3l Ilt lWax. Mar"ks:i00 (87 Marks) {06 Marks) in the Fourier (&7 Marks) (S7 Marks) {S6 Marks) (07 Marks) the method of separation of (07 Marks) C2u,, subject to the conditions (86 Marks) {07 Marks) (06 N4arks) -l USNI b. 7q 3a. b. PART *.{ fur,ction (x): x{2n- x) in 0 ( x ( 2n. Iience deduce that h c. b. () (J (J q 0) I .Aa *tr c@ cd$ oC -O a-- o2 6; oO -o >-/N o-X ()j o: 6d, ;6 6.v ooo = oL) '-a 6= =.8:i sr =o)iL U<.^: ; z F o o. 1 a. Find the Fourier series for the n2 lr -t r t_1 8 ' 32'52 Find the haltrange cosine series for the function f(x) : (r * 1)' ira 0 < x < 1. Obtain the constant term and the co-efficient of the 1't sine and cosine terms series of y as given in the follor,ving table Solve the integral equation : ? [l-cr. 0<cr<1 f "i,.,2* d [ 0. cx>l j t Find the Fourier transform of f(x) - *-1x1. Au , Azu Solve the boundary value probiern ]=ctJ, O < x< I subject to the conditions dl Ax' Find the infinite Fourier cosine transform of e-"- . Solve two dimensional Laplace equation u** * u, : 0 by variabtres. Obtain the D'Alembert's solution of the wave equation u11 - A u(x, 0) = (x) and 9(x,0) = 0. dt Solve by graphical rnethod : MaxZ:x+1.5y Subject to the constrarnts x+ 2y < 160 3x+2y<240 x>0;y>0. Solve by simplex metirod : rnaxz: 3x * 5y subject to 3x * 2y. 18 x<4 y<6 -x'Y)0' X 0 1 I 1 -l A 5. v 9 ,18 4A z+ 28 t6 20 K 5 t0 l5 an 25 v L6 t9 23 26 30 c. I af2 (07 Marks)
- 2. IOMAT31 PAR.T - B a. Using the method of false position, find a real root of the equation x logroX - I.2:0, correct to 4 decirnal piaees. (07 Marks) b. By relaxation rnethod. solve : 10x+2y+z:9:,, x+ 10y-z:-22 ; -2x+3y+ l0z:22. (0dMarks) c. Find the largest Eigen value and the corresponding Eigen vector for the matrix Io -2 21 tt l-z 3 -llusingR.ayleigh'spowerr*ethod,takingxo:[i 11]r.Perform5 iterations. ii | 2 -r 3l (07 Marks) a. Find the cubic polynomial by using Newton's forward interpolation formula which takes the tbllowing values. Hence evaiuate (4). b. Using Lagrange's formula, find the interpolating polynomial described by the following table. (07 Marks) that approxirnate the function Hence find (3). 5.2 c. Evaluate f 1og. x rlx using Weddier's rule by taking T ordinates. 4 7 a. Solve ur, * ur, : 0 ira the following square Mesh. Carry out two iterations. (06 Marks) (07 Marks) (07 Marks) a o ot+?fr A4- tJs r,tq lk Ur L(6 tl 1 Ur t1 lo I b. The transverse displacement of a point at a distance x ftom one end to any point 't' of a ^Z ;/ vibrating str"ing satisfies the equation ' g$ = 25o y" with boundary condition u(0. t) :' &2 A*2 ---'---'--') u(5, r) : 0 and initial condition u(x, 0) - {.,:o' . l' ::' :] una u1(x, 0) :0 soive by [5(5-x) for l<x<5 takingh: i, k:0.2 upto t:1. (06Marks) c. Find the solution of the equation ur, : 2u1 when u(0, t) : 0 and u(4, t) : 0 and u(x" 0) : x(4 - x) taking h: l. Find values upto t : 5. (07 Marks) 8 a. FindtheZ-transformationofthefollowing: i)3n-4sin L+5a2 ii) d{. (o7Marks) 4nl Find the inverse Z - transformation of Solve the rJilffierence equatiofl i 1upr2 Z - transfarmation. Fig.Q7(a) o or e +'E ,21Z - t7, z3 +522 +82-4 * 6ynrr + 9y,, : (06 Marks) givenyo:yr :0using (07 Marks) b. {<{<8** 2 ofZ K 0 1 2 1 -) Y 2 I t0 X 0 i 2 5 f(x) 2 a J 12 lA,7
- 3. USN 10cv32 Third Semester B.E. Degree Examination, June/July 2016 Building Materials and Gonstruction Technology Time: 3 hrs. Max. Marks: tr00' Note: Answer FIVE fult questions, selecti.ng st lesst TWO questions "from each part. PART _ A a. Define foundation and enumerate the objectives of the foundations. (05 Marks) b. What is safe bearing capacity of soil? List the types of methods adapted to examination of ground and explain any two of them. (07 Marks) c. List the types of foundation and explain any two of them rvith neat sketches" (08 Marks) .: (6 a "o 6) () ! oX ':> d9 =r)co 'l ico -do oB *,a 46 ()() do oo<(!(t >! -?u 6lj a.A o.'(Ji 9.Y Bii r.O 6.Y c cti o= =.d:i !.) =o9- LJ< .^: ; 63 L o, 2a. b. 3a. b. c. 4a. b. c. 6a. b. ta. b. L,. 8a. b. Give a list of materials which are comffionly used as floorings and give a brief description of Explain the classification of stone masomy with neat sketches. Explain: i; Queen closer ii) King closer, with neat sketches. Explain any two of the following : i) English Bond ii) Flernish tsond iii) Cavity walls. Write aneat diagram of segmental arch and label it. List the classification of arches and explain any one of them in detail. Write short notes on: i) Chejja ii) Canopy iii) Balcony iv) tr-intels Define a pitched roof and explain its various types. i) Location r$ S'ize. Explain the properties of materials used in doors and windows. Explain the requirernents of a good staircase. layout of dog legged staircase for this building. Mention the tools which are required in the plastering work. Enumerate the defects found in piastering work. Explain briefly painting on different surfaces. Differentiate between the foilowing : i) Formwork and Scaffolding ii) Damp-proofing and Water - proofing. Write short notes on : i) Form work for coiumns ii) Effects of dampness. (SB Marks) (04 Marks) {08 Marks) (04 Marks) (88 Marks) (0E Marks) (10 Marks) (05 Marks) (07 Marks) {04 Marks) (06 Marks) (84 Marks) (08 Marks) {08 Marks) (12 Marks) (08 Marks) any four of them in detail. (10 Marks) PART E 5 a. Explain with neat sketches of i) Ledged and braced doors ii) skylights. (08 Marks) b. Discuss the provisions of doors and windows with respect to the following : List the types of stairs and explain witlh neat sketches of Dog-legged stairs aiad circular stars. (X0 Marks) e, The inside dimensions of a stair case in a residential building are 2.0 rnx 4.50 rn. The height of floor is 3.30 m and the roof consists of RCC slab is 12 cms thickness. Design a proper {<8*>F*
- 4. USN 10cv33 (04 Marks) (06 Marks) a. b. 3a. b. (.) o o G ! c.) (J 8P dv Pil bo'd6 .= a d$ E?P o<5o g9 bE cdo .G i.J 5! o-X tra_ ot!)J 6! 3oo tii ti *6 x! bo- cOO al= o- ii :0) 3! e< -'6i o z d o- Third Semester B.E. Degree Examination, June/July 2416 Strength of Materials Time:3 hrs. Max. Marks:100 Note: Answer any FIVE fall questions, selecting stleest TW$ qwestions frow, e$ch parl PART - A I a. Draw the stress versus strain curve for rnild steel specimen subjected to axial tension and indicate the salient points. (05 Marks) b. Derive an expression for the deformation of the tapering circular bar subjected to an axial force F. Use standard notations. (08 Marks) c. The bar shown in fig. Ql(c) is tested in a universal testing rnachine. It is observed that at a load of 40kN the total extension is 0.285rnm. Determine the Young's modulus of the material. (07 Marks) I Fig.Q l 1c.) Derive relation between Modulus of Rigidity, Young's modulus and Poisson's ratio. (06 Marks) A steel rod is of 20m long at a temperature of 200C. Find the free expansion of the bar, when the temperature is raised to 650C. Also calculate the temperahrre stress produced for the following cases : i) When the expansion of the rod is prevented ii) When the rod is permitted to expand by 5.8mm. Take cr - 12 x l0 6/0C and E: 200 GFa. (06 Marks) c. A load of 2MN is applied on a column 500mrn x 500mm. the column is reinforced with four steel bars of 1Omm diameter, one in each corner. Find the stresses in the concrete and steelbars. Take E, for steel as 2.1 x 1OsN/mm2 and for conorete as 1.4 x 104N/mm2. (08 Marks) Define : i) Principal plane ii) Principal stresses. (04 Marks) Determine the rnagnihrde and direction of resultant stresses on a plane inclined at an angle of 600 to major principal stress plane, when the bar is subjected to principal stresses at a point 200MPa tensile and 100MPa compressive. Also determine the resultant stress and its obliquity. {05 Marks) Two wooden pieces l00mm x i00mrn in cross section are gtrued together along line AB as shown in fig. Q3(c).What maximum axial force 'P' can be applied if the allowable shearing stress along AB is 1.2N/mm2? (10 Marks) 4a. b. Fig.Q3(c) Define i) Bending moment For the cantilever beam shown ii) Point of contraflexur-e. in fig. Q4(b), obtain SFD and BMD. 4r(N B -?L .-'tl , l. +" 2. ol, lb rl 1 of2 Fig.Qa@)
- 5. E4 b. 10cv33 c. Draw the Shear force and Bending moment diagrams for the beam shown in fig. Qa(c). (10 Marks) l5xr,tm, l{l4Niff) EF Fig.Qa(c) PART _ B Derive the equation of theory of simple bending with usual notations. (06 Marks) A simply supported beam of span 6m has a cross section as shown in fig. Q5(b), it carries two point loads each of 30kN at a distance of 2m from each support. Calculate the bending stress and shear stress for maximum ,ialues of bending moment and shear lbrce respectively. Draw neat diagram of bending stress and shear stress distribution across the cross section. (14 Marks) Fig.Q5(b) Explain the tems : i) Slope ii) Deflection iii) Deflection curye. (06 Marks) 1- lmoo It- I coo mm I I 6a. b. lq, b. 8a. b. A simply supported beam 8m long, camies two concentrated loads of 80kN and 60kN at distances of 3m and 6m frorn left end support respectively. Calculate slope and deflection uniier loads. Given E:2.A x i05 MPa ancl I: 300 x 106mma. llMarks) State the assumptions made in the theory of Pure Torsion. (04 Marks) A hollow shaft of intemal diarneter 400mm and external diameter 460mm is required to transmitporver at 180rpm. Determine the power it can transmit, if the shear stress is not to exceed 60N/mm2 and the rnaximum torque exceeds the mean by 30%. (ti6 Marks) A solid circular shaft is to transmit 250kN at 100 rpm. If the shear stress is not to exceed 75NAnm2, what shouid be the diameter of the shaft? trf this shaft is to be replaced by a hoilow one, whose intemal riiameter is 0.6 times externai diameter, determine the size and percentage saving in r,veight, maximum shear stress being the same. (10 Marks) Derive an expression for Euier's crippling load for a column with both ends fixed. (08 Marks) Compare the crippling loads given by Euler's and Rankine's formula for a coiumn of circular section 2.3m long and of 30mm diameter. The column is hinged at both ends. Take yieid stress as 335N/mm2 and Rankine's constant o: -1-- and E :2 x 10sN/mm2. For 7500 what ratio of I-lK, the Euier's formula cease to apply for this column? 2 of2 h- -glm---! PTL.-N (12 Marks)
- 6. USN r0cv34 Max. Marks:100 (06 Marks) (06 Marks) (08 Marks) (06 Marks) (05 Marks) (08 Marks) Third Semester B.E. Degree Examination, June/Juty 2016 Surveying - I Time: 3 hrs. 1q b. c. 3a. b. c. 4a. b. Note: Answer FIVE fuU questions, selecting st least TWO qaestions from each purt.iJ o o ! o. (J E () o *a ':> 69 :ln bo rr cca .= ..1 d* i. b0 H() otr-O @ad o6) -L bo- -o }E '?o o .i5 or 5_ tro" oi fr.v 6: otE !o 6.v>.* coo 6J= =cd:i9 =a)U: lr< -N z o a. la. b. c. PART - A Distinguish between plane surveying and Geodetic surveying. Explain the terms : i) Accuracy ii) Precision iii) Discrepancy. u:6.2x10-6/oC. With a neat sketch, explain the working of prism square. Define: i) Survey lines ii) Check lines iii) Tie lines. A 30 rneter chain was tested before the commencement of day's work and was found to be correct. After chaining i00 chains, the chain was found to be half decimeter too long. At the end of the day's work, after chaining another 100 chains, the chain was found to be one decimeter too long. What was the total true distance chained? (08 Marks) State the important points considered while selecting main stations in surveying. (06 Marks) With neat sketch, explain reciprocal ranging. (06 Marks) A 20m steel tape standardized at 13.5'C under a pull of 100N was used for measuring a base line. Find the correction per tape length if the field temperature is 20'C under an applied pull of 160N. Assume area of tape as 0.02cm2, weight of tape 8N, E : 2.11x107 N/cm2, Stations A and D are on the opposite sides of a pond. A line AB, 200m long and another line AC 250m long are laid to the left and right of AD respectively. Further, the station points B, D and C are set perpendicular to AD such that BD : 125 mand DC : tr50 m. Find the true length of AD. Distinguish between : i) Magnetic meridian and True meridian ii) WCB and QB (04 Marks) run in anticlockwise direction and the followingA compass traverse survey ABCDEA was bearings were taken suspecting local attractin lon. Line FB BB AB I 50000' 329045', BC 77"30', 256"00', CD 41o30' 222045', DE 314"75', t34"45', EA 22001s', 40015', Determine the local attraction and the cor"rected bearings. (10 Marks) trn an old map, a line AB was drawn to a magnetic bearing of 8o30' when the magnetic declination was 1"E. To what magnetic bearing should the line be set now if the present magnetic declination is 11'30'E? ' (03 Marks) The true bearing of line is 48"24'. Calculate the magnetic bearing if the magnetic declination is 5"38'E. (03 Marks) c. I of2
- 7. In the foltrowing traverse PQR.ST, the length and the bearing of side TP is omitted. Calculate the length and bearing of line TP. I-ine I-ength (m) Bearing PQ 244"00 87030', OR 226.00 20"20' RS 187,00 28000' ST 192.00 2r0"3' TP ,l I (08 Marks) PAR.T _ B What is local attraction? How is it determined and eliminated? Define: 0 Dependent co-ordinates i, Independent co-ordinates. Define contour. List the uses of contour rnaps. Explain the characteristics of contours. 10cv34 (08 Marks) (04 Marks) (06 Marks) (06 Marks) 6a. la. b. c. b. illustrate with neat sketches : D Profile leveiing i, Differentialleveling iii) Reciprocal ieveling and ir) Block leveling An observer standing on the deck of a ship just sees above the sea level. If the height of the observer's eye the distance of the observer from the light house. (08 Marks) the top of light house which is 40m is 8m above the sea level, determine c. Two points A and B, 1530m apart arc separated by a wide levels were taken with one level : (04 Marks) river. The following reciprocal Instrument at Staff readings at A ts A 3.81Onr 2.165m ts 2.355m 0.910m The collimation error was - 0.0004rn per 100m. Calculate the true level difference between A and B and the refraction. (08 Marks) The following readings were taken consecutively with a 5m level staff on a continuously sloping ground at a common interval of 20m : 0.385, 1.030, 1.925, 2.825, 3.130,4.685, 0.625,2.005,3.110, 4.485. The R-L of first point is 2A8.125m. Rule out apage of the level field book and enter the readings. Calculate the RL of the points by rise and fall method only and hence deterrnine the gradient of the line joining the first and last point. (08 Marks) a. Explain with neat sketch, the procedure for: i) R.adiation method ii) Intersection method in plane table surveying (08 Marks) b. What do you mean by orientation of piane table? Explain the different methods of orientation? (10 Marks) c. Define Resection and hence state three point problem. (02 Marks) ,,<**A* 2 af2
- 8. Time: 3 hrs. 2a. b. c. USN 3a. b. 4a. 10cv35 (06 Marks) o o o(c q p. Ea) 6) ! 3e 69 =.l oo' .-! .9 or d$ i, OO Yo otrrA 3q a:: o() 60 OE b0d dCB !b >! -6 .]?6J 5 .!3 o -.i ?.Y 6: @t: cE !o 6 .:i >,! oo-c60 (J= 90 tr> =Oo- (-, < *Cn o Z 6 JJ o a. a. b. Third Semester B.E. Degree Examination, June/Ju$ 2A16 Fluid Mechanics excess of outside pressure is given by, P =+.d Max. Marks:100 Note: Answer FIVE full questions, selecting at least TWO questions from each pait. PART _ A Distinguish between : i) Ideal fluids and real fluids ii) Surface tension and capillarity (05 Marks) Prove that the relationship between surface tension and ptessure inside a droplet of liquid in b. c. A 400 mm diameter staff is rotating at 200 mrn in a bearing of length 120 mm. If the thickness of oil film is 1.5 mm and the dynamic viscosity of the oil is 0.7 N/m2 determine: D Torque required to overcome friction in bearing ii) Power utilized. (08 Marks) Differentiate between : i) Absolute and gauge pressure ii) Simple manometer and differential manometer and iii) Piezometer and pressure gauges. (06 Marks) What is the difference between U-tube differential manometers and inverted U-tube differential manometers? Where are they used? (06 Marks) A single column manometer is connected to a pipe containing oil of specific gravity 0.8. The ratio of reservoir area to the limb is 100. The liquid level in the reservoir is 300 rnrn below the centre of the pipe containing oil and level of liquid in the right liquid limb is 500 mm above the liquid level in the reservoir. Determine the pressure of liquid in the pipe. The liquid in the reservoir and right limb is mercury with its sp.gr. as 13.6. (08 Marks) Derive an expression for the depth of centre of pressure from free surface of liquid of an inclined plane surface submerged in the liquid. (12 Marks) Find the magnitude and direction of the resultant force due to water acting on a roiler gate of eylindrical form of 4 m diameter, when the gate is placed on the dam in such a way that water is just going to spill. Take the length of the gate as 8 m. (08 Marks) Differentiate between the Eulerian and Lagrangian methods of representing fluid flow. (06 Marks) Show that streamlines and equipotential lines form a set of perpendicular lines. (06 Marks) Ina2-D incompressible flow, the fluid velocity components are given by u=x-4y and v = -y - 4x . Show that velocity potential exists and determine its form as well as stream function. (08 Marks) I of2
- 9. 10cv35 a.Describeventurimeterandfindan.ffirdischargethroughventimeter.(06Marks) b. The water is flowing through a tapering pipe having diameter 300 mm and 150 mm at section I and,2 respectively. The discharge through the pipe is 40 litres/sec. The section I is 10 m above the datum and section 2 is 6 m above datum. Find the velocity of pressure at section 2 if that at section 1 is 400 kN/#. (08 Marks) c. A pitot tube is inserted in a pipe of diameter 30 cm. The static pressure in the pipe is [0 cm of mercury (vaccum). The stagnation pressure at the centre of the pipe recorded by the pitot tube is 0.981 Nicm2. Calculate the discharge through the pipe, if the average flow velocity is 6a. b. c. 0.85 times the central velocity. Take Ca: 0.98. Distinguish between hydraulic gradient line and energy gradient line. pressure to be 10.3 m of water. What are the advantages of triangular notch over a rectangular notch? Derive an expression for loss of head due to sudden enlargement in a pipe line. (06 Marks) A pipe line of 0.6 m diameter is 1.5 km long. To augment the discharge, another pipeline of the same diameter is introduced parallel to the first in the second half of its length. Find the increase of discharge if f = 0.04 and |read at the inlet is 30 m. (08 Marks) Define various hydraulic coefficients of an orifice and derive the relation between them. (06 Marks) Differentiate between alarge and small orif-rce. Obtain an expression for discharge through a large rectangular orifice. (06 Marks) Water under a constant head of 4.5 m discharges through an external cylindrical mouthpiece of 50 mm diameter and 150 rnm long. If Cc for the orifice is 0.6, find (i) the discharge in litres per second and ii) the absolutg pressure at the vena antracta. Assume atmospheric (06 Marks) (06 Marks) (08 Marks) (06 Marks) 7a. b. 8a. b. A right angtre triangular notch is used for measuring a discharge of 30 lps. An error of 1.5 mm was made while measuring the head over the notch. Calculate the percentage error in estimating the disoharge. Take Ca:0.62. (06 Marks) c. A suppressed rectangular weir is constructed across a channel af 0.77 m width with a head of 0.39 mandthe crest 0.6 rnabove the bed of the channel. Estimate the discharge over it. Consider the'Velocity of approach and assume Ca:0.623. (08 Marks) 2 of2
- 10. USN 10cv36 (08 Marks) (06 Marks) (06 Marks) D o o ! c- = E 63 d (J avbrl- a n oo ll d€ .=r .= c.l d$ tl bo Eo otrao =q Ez 3s 9O r! dJc ci6 -o >! 6< '- ^. d= oj !j :E ',J !o 5.v>1 (H bo- trbo.ng o.U E: o- ci U< rC.t o z k a E la. b. Third Semester B.E. Degree Examination, June/July 2016 Applied Engineering Geology Time: 3 hrs. Max. Marks:100 Note: Answer any FIVE.full questions, selecting atleast TWO questions from esch par| PART - A Discuss in brief, the different branches of geology which are related to civil engineering. Write the chemical composition, crystal system and uses of any two of ,t. [Xff;t? minerals - Agate , Ofthoclase feldspar. Talc, Calcite. (05 Marksi c. Discuss in brief, the different discontinuities traced within the earth's interior. (05 Marks) 2 a. Write the forms of igneous bodies *ith neat sketches. (10 Marks) b. Write the role of metamotphic agents in metamorphism. (06 Marks) c. Write a brief note on Exogenous and Endogenous geological agents. (04 Marks) 3 a. Write a brief note on soil profile. Discuss the factors which contribute for the formation of soil. (08 Marks) b. Discuss Meanders and Oxbow lake, with neat sketches. (06 Marks) c. What is Unconformity? What is its significance in civil engineering? (06 Marks) What is an Earthquake? Discuss the preventive measures to be taken during construction of4a. b. building in seismic zones? Discuss the different seismic zones of India. Explain the causes and effects of an Earthquake, b. Define Fault. How are they formed and their effects in civil engineering? PART - B 5 a. What are the qualities that are required for the selection of rocks as construction materials? (08 Marks) (08 Marks) c. Write a biief note on Joints in rocks and their significance in a reservoir site. (04 Marks) 6 Critically examine the following with suitable reason : a. Sedirnentary rock dipping downstream are ideal for dam sites. b. Reservoir along the course of effluent streams are better than those on the valleys of influent rivers. Justifu. c. Stability of a tunnel alignment along a seismic zone. d. Silting up of reseruoir is a good sign for the safety of the dam. (20 Marks) a. Write a brief note on water dousing or superstitious method of finding water. (04 Marks) b. What is an Aquifer? Write a note on confined and unconfined aquifer, with a neat sketch. c. What is Rain water harvesting? Discuss the various types olartificial recharge. 13:ff:l[:] a. What is Remote Sensing? Discuss.its applications in civil engineering. (08 Marks) b. Write a note on impact of mining on environment. (06 Marks) c. What is GIS? Write its use in civil engineering (06 Marks)

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