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GATE Previous Year Question Papers for Civil Engineering [CE] by AglaSem.ComFor All Subjects Free GATE Solved Papers visit: http://admission.aglasem.com/gate-previous-year-solved-papers/For GATE Complete Information visit: http://admission.aglasem.com/gate/For GATE Exam Preparation visit: http://gate.aglasem.com

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  • SOLVED PAPERS

    GATECIVIL ENGINEERING (CE)

    aglaem.comA comprehensive study guide for GATE

  • CONTENTS

    Introduction Question Paper Pattern Design of Questions Marking Scheme Syllabus Previous Year Solved Papers

    o Solved Question Paper 2014 (Set 1)o Answer Key 2014 (Set 1)o Solved Question Paper 2014 (Set 2)o Answer Key 2014 (Set 2)o Solved Question Paper 2013o Answer Key 2013o Solved Question Paper 2012o Answer Key 2012

  • IntroductionThe Graduate Aptitude Test in Engineering (GATE) is the all India level examinationconducted by the Indian Institute of Science and seven Indian Institutes of Technology(IITs).

    A crucial part of GATE preparation is to solve and practice using previous year GATEpapers. Solving previous year GATE papers help the candidate in understanding the exampattern, knowing the level of difficulty of questions, and analyzing preparation.

    While attempting to solve any previous year GATE paper, it is advisable that it is done in asimulated test environment. This means, that the candidate sets a timer to countdown totest time, makes sure there is no other distraction, and then sits down to take the test as ifhe / she is in the exam hall. After attempting the paper, check how many questions youcould get right in the first attempt. Analyse the strong and weak areas of preparation, andaccordingly devise a study schedule or revision pattern. After going through those areaswhere in the first attempt could not do well, try the next paper.

    Almost all of the engineering colleges in India take admission in M.Tech courses on thebasis of GATE scores. Apart from that, PSUs also recruit students directly on this basis.

    To score high in this elite examination is tough, but quite achievable.

    GATE Previous Year Solved Papers by_________________________________________________________

  • Question Paper PatternIn all the papers, there will be a total of 65 questions carrying 100 marks, out of which 10questions carrying a total of 15 marks are in General Aptitude (GA).

    In the papers bearing the codes AE, AG, BT, CE, CH, CS, EC, EE, IN, ME, MN, MT, PI, TF andXE, the Engineering Mathematics will carry around 13% of the total marks, the GeneralAptitude section will carry 15% of the total marks and the remaining percentage of thetotal marks is devoted to the subject of the paper.

    In the papers bearing the codes AR, CY, EY, GG, MA, PH and XL, the General Aptitudesection will carry 15% of the total marks and the remaining 85% of the total marks isdevoted to the subject of the paper.

    GATE would contain questions of two different types in various papers:

    (i) Multiple Choice Questions (MCQ) carrying 1 or 2 marks each in all papers andsections. These questions are objective in nature, and each will have a choice of fouranswers, out of which the candidate has to mark the correct answer(s).

    (ii) Numerical Answer Questions of 1 or 2 marks each in all papers and sections. Forthese questions the answer is a real number, to be entered by the candidate using thevirtual keypad. No choices will be shown for this type of questions.

    GATE Previous Year Solved Papers by________________________________________________________

  • Design of QuestionsThe questions in a paper may be designed to test the following abilities:

    (i) Recall: These are based on facts, principles, formulae or laws of the discipline of thepaper. The candidate is expected to be able to obtain the answer either from his/hermemory of the subject or at most from a one-line computation.

    (ii) Comprehension: These questions will test the candidate's understanding of thebasics of his/her field, by requiring him/her to draw simple conclusions from fundamentalideas.

    (iii) Application: In these questions, the candidate is expected to apply his/herknowledge either through computation or by logical reasoning.

    (iv) Analysis and Synthesis: In these questions, the candidate is presented with data,diagrams, images etc. that require analysis before a question can be answered. A Synthesisquestion might require the candidate to compare two or more pieces of information.Questions in this category could, for example, involve candidates in recognising unstatedassumptions, or separating useful information from irrelevant information.

    GATE Previous Year Solved Papers by__________________________________________________________

  • Marking SchemeFor 1-mark multiple-choice questions, 1/3 marks will be deducted for a wrong answer.Likewise, for2-marks multiple-choice questions, 2/3 marks will be deducted for a wronganswer. There is no negative marking for numerical answer type questions.

    General Aptitude (GA) Questions

    In all papers, GA questions carry a total of 15 marks. The GA section includes 5 questionscarrying 1 mark each (sub-total 5 marks) and 5 questions carrying 2 marks each (sub-total10 marks).

    Question Papers other than GG, XE and XL

    These papers would contain 25 questions carrying 1 mark each (sub-total 25 marks) and30 questions carrying 2 marks each (sub-total 60 marks). The question paper will consist ofquestions of multiple choice and numerical answer type. For numerical answer questions,choices will not be given. Candidates have to enter the answer (which will be a realnumber, signed or unsigned, e.g. 25.06, -25.06, 25, -25 etc.) using a virtual keypad. Anappropriate range will be considered while evaluating the numerical answer typequestions so that the candidate is not penalized due to the usual round-off errors.

    GG (Geology and Geophysics) Paper

    Apart from the General Aptitude (GA) section, the GG question paper consists of two parts:Part A and Part B. Part A is common for all candidates. Part B contains two sections: Section1 (Geology) and Section 2 (Geo-physics). Candidates will have to attempt questions in PartA and either Section 1 or Section 2 in Part B.

    Part A consists of 25 multiple-choice questions carrying 1-mark each (sub-total 25 marksand some of these may be numerical answer type questions). Each section in Part B(Section 1 and Section 2) consists of 30 multiple choice questions carrying 2 marks each(sub-total 60 marks and some of these may be numerical answer type questions).

    XE Paper (Engineering Sciences)

    GATE Previous Year Solved Papers by_________________________________________________________

  • In XE paper, Engineering Mathematics section (Section A) is compulsory. This sectioncontains 11 questions carrying a total of 15 marks: 7 questions carrying 1 mark each (sub-total 7 marks), and 4 questions carrying 2 marks each (sub-total 8 marks). Some questionsmay be of numerical answer type questions.

    Each of the other sections of the XE paper (Sections B through G) contains 22 questionscarrying a total of 35 marks: 9 questions carrying 1 mark each (sub-total 9 marks) and 13questions carrying 2 marks each (sub-total 26 marks). Some questions may be ofnumerical answer type.

    XL Paper (Life Sciences)

    In XL paper, Chemistry section (Section H) is compulsory. This section contains 15questions carrying a total of 25 marks: 5 questions carrying 1 mark each (sub-total 5 marks)and 10 questions carrying 2-marks each (sub-total 20 marks). Some questions may be ofnumerical answer type.

    Each of the other sections of the XL paper (Sections I through M) contains 20 questionscarrying a total of 30 marks: 10 questions carrying 1 mark each (sub-total 10 marks) and 10questions carrying 2 marks each (sub-total 20 marks). Some questions may be ofnumerical answer type.

    Note on Negative Marking for Wrong Answers

    For a wrong answer chosen for the multiple choice questions, there would be negativemarking. For1-mark multiple choice questions, 1/3 mark will be deducted for a wronganswer. Likewise, for 2-mark multiple choice questions, 2/3 mark will be deducted for awrong answer. However, there is no negative marking for a wrong answer in numericalanswer type questions.

    GATE Previous Year Solved Papers by_________________________________________________________

  • Syllabus for General Aptitude (GA)Verbal Ability: English grammar, sentence completion, verbal analogies, word groups,instructions, critical reasoning and verbal deduction.

    Numerical Ability: Numerical computation, numerical estimation, numerical reasoningand data interpretation.

    Syllabus for Civil Engineering (CE)ENGINEERING MATHEMATICS

    Linear Algebra: Matrix algebra, Systems of linear equations, Eigen values andeigenvectors.

    Calculus: Functions of single variable, Limit, continuity and differentiability, Mean valuetheorems, Evaluation of definite and improper integrals, Partial derivatives, Totalderivative, Maxima and minima, Gradient, Divergence and Curl, Vector identities,Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Greenstheorems.

    Differential equations: First order equations (linear and nonlinear), Higher order lineardifferential equations with constant coefficients, Cauchys and Eulers equations, Initial andboundary value problems, Laplace transforms, Solutions of one dimensional heat andwave equations and Laplace equation.

    Complex variables: Analytic functions, Cauchys integral theorem, Taylor and Laurentseries.

    Probability and Statistics: Definitions of probability and sampling theorems, Conditionalprobability, Mean, median, mode and standard deviation, Random variables, Poisson,Normal and Binomial distributions.

    Numerical Methods: Numerical solutions of linear and non-linear algebraic equationsIntegration by trapezoidal and Simpsons rule, single and multi-step methods fordifferential equations.

    GATE Previous Year Solved Papers by___________________________________________________________

  • STRUCTURAL ENGINEERING

    Mechanics: Bending moment and shear force in statically determinate beams. Simplestress and strain relationship: Stress and strain in two dimensions, principal stresses, stresstransformation, Mohrs circle. Simple bending theory, flexural and shear stresses,unsymmetrical bending, shear centre. Thin walled pressure vessels, uniform torsion,buckling of column, combined and direct bending stresses.

    Structural Analysis: Analysis of statically determinate trusses, arches, beams, cables andframes, displacements in statically determinate structures and analysis of staticallyindeterminate structures by force/ energy methods, analysis by displacement methods(slope deflection and moment distribution methods), influence lines for determinate andindeterminate structures. Basic concepts of matrix methods of structural analysis.

    Concrete Structures: Concrete Technology- properties of concrete, basics of mix design.Concrete design- basic working stress and limit state design concepts, analysis of ultimateload capacity and design of members subjected to flexure, shear, compression and torsionby limit state methods. Basic elements of prestressed concrete, analysis of beam sectionsat transfer and service loads.

    Steel Structures: Analysis and design of tension and compression members, beams andbeam- columns, column bases. Connections- simple and eccentric, beamcolumnconnections, plate girders and trusses. Plastic analysis of beams and frames.

    GEOTECHNICAL ENGINEERING

    Soil Mechanics: Origin of soils, soil classification, three-phase system, fundamentaldefinitions, relationship and interrelationships, permeability &seepage, effective stressprinciple, consolidation, compaction, shear strength.

    Foundation Engineering: Sub-surface investigations- scope, drilling bore holes,sampling, penetration tests, plate load test. Earth pressure theories, effect of water table,layered soils. Stability of slopes-infinite slopes, finite slopes. Foundation types-foundationdesign requirements. Shallow foundations-bearing capacity, effect of shape, water tableand other factors, stress distribution, settlement analysis in sands & clays. Deep

    GATE Previous Year Solved Papers by___________________________________________________________

  • foundationspile types, dynamic & static formulae, load capacity of piles in sands & clays,negative skin friction.

    WATER RESOURCES ENGINEERING

    Fluid Mechanics and Hydraulics: Properties of fluids, principle of conservation of mass,momentum, energy and corresponding equations, potential flow, applications ofmomentum and Bernoullis equation, laminar and turbulent flow, flow in pipes, pipenetworks. Concept of boundary layer and its growth. Uniform flow, critical flow andgradually varied flow in channels, specific energy concept, hydraulic jump. Forces onimmersed bodies, flow measurements in channels, tanks and pipes. Dimensional analysisand hydraulic modeling. Kinematics of flow, velocity triangles and specific speed of pumpsand turbines.

    Hydrology: Hydrologic cycle, rainfall, evaporation, infiltration, stage dischargerelationships, unit hydrographs, flood estimation, reservoir capacity, reservoir and channelrouting. Well hydraulics.

    Irrigation: Duty, delta, estimation of evapo-transpiration. Crop water requirements.Design of: lined and unlined canals, waterways, head works, gravity dams and spillways.Design of weirs on permeable foundation. Types of irrigation system, irrigation methods.Water logging and drainage, sodic soils.

    ENVIRONMENTAL ENGINEERING

    Water requirements: Quality standards, basic unit processes and operations for watertreatment. Drinking water standards, water requirements, basic unit operations and unitprocesses for surface water treatment, distribution of water. Sewage and seweragetreatment, quantity and characteristics of wastewater. Primary, secondary and tertiarytreatment of wastewater, sludge disposal, effluent discharge standards. Domesticwastewater treatment, quantity of characteristics of domestic wastewater, primary andsecondary treatment Unit operations and unit processes of domestic wastewater, sludgedisposal.

    Air Pollution: Types of pollutants, their sources and impacts, air pollution meteorology,air pollution control, air quality standards and limits.

    GATE Previous Year Solved Papers by___________________________________________________________

  • Municipal Solid Wastes: Characteristics, generation, collection and transportation of solidwastes, engineered systems for solid waste management (reuse/ recycle, energy recovery,treatment and disposal).

    Noise Pollution: Impacts of noise, permissible limits of noise pollution, measurement ofnoise and control of noise pollution.

    TRANSPORTATION ENGINEERING

    Highway Planning: Geometric design of highways, testing and specifications of pavingmaterials, design of flexible and rigid pavements.

    Traffic Engineering: Traffic characteristics, theory of traffic flow, intersection design,traffic signs and signal design, highway capacity.

    SURVEYING

    Importance of surveying, principles and classifications, mapping concepts, coordinatesystem, map projections, measurements of distance and directions, leveling, theodolitetraversing, plane table surveying, errors and adjustments, curves.

    GATE Previous Year Solved Papers by

    ___________________________________________________________

    ___________________________________________________________

  • GATEPrevious Year Solved Papers

    Civil Engineering - CE

    2012 - 14

  • Duration: 180 minutes Maximum Marks: 100

    Read the following instructions carefully.

    1. To login, enter your Registration Number and password provided to you. Kindly go through the various symbols used in the test and understand their meaning before you start the examination.

    2. Once you login and after the start of the examination, you can view all the questions in the question paper, by clicking on the View All Questions button in the screen.

    3. This question paper consists of 2 sections, General Aptitude (GA) for 15 marks and the subject specific GATE paper for 85 marks. Both these sections are compulsory. The GA section consists of 10 questions. Question numbers 1 to 5 are of 1-mark each, while question numbers 6 to 10 are of 2-mark each. The subject specific GATE paper section consists of 55 questions, out of which question numbers 1 to 25 are of 1-mark each, while question numbers 26 to 55 are of 2-mark each.

    4. Depending upon the GATE paper, there may be useful common data that may be required for answering the questions. If the paper has such useful data, the same can be viewed by clicking on the Useful Common Data button that appears at the top, right hand side of the screen.

    5. The computer allotted to you at the examination center runs specialized software that permits only one answer to be selected for multiple-choice questions using a mouse and to enter a suitable number for the numerical answer type questions using the virtual keyboard and mouse.

    6. Your answers shall be updated and saved on a server periodically and also at the end of the examination. The examination will stop automatically at the end of 180 minutes.

    7. In each paper a candidate can answer a total of 65 questions carrying 100 marks. 8. The question paper may consist of questions of multiple choice type (MCQ) and numerical answer

    type. 9. Multiple choice type questions will have four choices against A, B, C, D, out of which only ONE is the

    correct answer. The candidate has to choose the correct answer by clicking on the bubble () placed before the choice.

    10. For numerical answer type questions, each question will have a numerical answer and there will not be any choices. For these questions, the answer should be enteredby using the virtual keyboard that appears on the monitor and the mouse.

    11. All questions that are not attempted will result in zero marks. However, wrong answers for multiple choice type questions (MCQ) will result in NEGATIVE marks. For all MCQ questions a wrong answer will result in deduction of marks for a 1-mark question and marks for a 2-mark question.

    12. There is NO NEGATIVE MARKING for questions of NUMERICAL ANSWER TYPE.

    13. Non-programmable type Calculator is allowed. Charts, graph sheets, and mathematical tables are NOT allowed in the Examination Hall. You must use the Scribble pad provided to you at the examination centre for all your rough work. The Scribble Pad has to be returned at the end of the examination.

    Declaration by the candidate:

    I have read and understood all the above instructions. I have also read and understood clearly the instructions given on the admit card and shall follow the same. I also understand that in case I am found to violate any of these instructions, my candidature is liable to be cancelled. I also confirm that at the start of the examination all the computer hardware allotted to me are in proper working condition.

    GATE 2014 Solved Paper CE: Civil Engineering

    GATE Previous Year Solved Papers by

    SET - 1

  • Q. 1 Q. 5 carry one mark each. Q.1 A student is required to demonstrate a high level of comprehension of the subject, especially in the

    social sciences.

    The word closest in meaning to comprehension is

    (A) understanding (B) meaning (C) concentration (D) stability

    Q.2 Choose the most appropriate word from the options given below to complete the following sentence.

    One of his biggest ______ was his ability to forgive.

    (A) vice (B) virtues (C) choices (D) strength

    Q.3 Rajan was not happy that Sajan decided to do the project on his own. On observing his unhappiness, Sajan explained to Rajan that he preferred to work independently.

    Which one of the statements below is logically valid and can be inferred from the above sentences?

    (A) Rajan has decided to work only in a group. (B) Rajan and Sajan were formed into a group against their wishes. (C) Sajan had decided to give in to Rajans request to work with him. (D) Rajan had believed that Sajan and he would be working together.

    Q.4 If y = 5x2 + 3, then the tangent at x = 0, y = 3 (A) passes through x = 0, y = 0 (B) has a slope of +1 (C) is parallel to the x-axis (D) has a slope of 1

    Q.5 A foundry has a fixed daily cost of Rs 50,000 whenever it operates and a variable cost of Rs 800Q, where Q is the daily production in tonnes. What is the cost of production in Rs per tonne for a daily production of 100 tonnes?

    Q. 6 Q. 10 carry two marks each.

    Q.6 Find the odd one in the following group: ALRVX, EPVZB, ITZDF, OYEIK (A) ALRVX (B) EPVZB (C) ITZDF (D) OYEIK

    Q.7 Anuj, Bhola, Chandan, Dilip, Eswar and Faisal live on different floors in a six-storeyed building (the ground floor is numbered 1, the floor above it 2, and so on). Anuj lives on an even-numbered floor. Bhola does not live on an odd numbered floor. Chandan does not live on any of the floors below Faisals floor. Dilip does not live on floor number 2. Eswar does not live on a floor immediately above or immediately below Bhola. Faisal lives three floors above Dilip. Which of the following floor-person combinations is correct?

    Anuj Bhola Chandan Dilip Eswar Faisal (A) 6 2 5 1 3 4 (B) 2 6 5 1 3 4 (C) 4 2 6 3 1 5 (D) 2 4 6 1 3 5

    GATE 2014 General Aptitude - GASET-1

    GATE Previous Year Solved Papers by

  • Q.8 The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The ratio between the angles of the quadrilateral is 3:4:5:6. The largest angle of the triangle is twice its smallest angle. What is the sum, in degrees, of the second largest angle of the triangle and the largest angle of the quadrilateral?

    Q.9 One percent of the people of country X are taller than 6 ft. Two percent of the people of country Y are taller than 6 ft. There are thrice as many people in country X as in country Y. Taking both countries together, what is the percentage of people taller than 6 ft?

    (A) 3.0 (B) 2.5 (C) 1.5 (D) 1.25

    Q.10 The monthly rainfall chart based on 50 years of rainfall in Agra is shown in the following figure. Which of the following are true? (k percentile is the value such that k percent of the data fall below that value)

    (i) On average, it rains more in July than in December (ii) Every year, the amount of rainfall in August is more than that in January (iii) July rainfall can be estimated with better confidence than February rainfall (iv) In August, there is at least 500 mm of rainfall (A) (i) and (ii) (B) (i) and (iii) (C) (ii) and (iii) (D) (iii) and (iv)

    END OF THE QUESTION PAPER

    GATE 2014 General Aptitude - GASET-1

    GATE Previous Year Solved Papers by

  • Q. 1 Q. 25 carry one mark each. Q.1

    +

    xxxLim

    x

    sinequals to

    (A) (B) 0 (C) 1 (D)

    Q.2 Given the matrices

    =

    621242123

    J and

    =

    121

    K , the product JKK T is ___________

    Q.3 The probability density function of evaporation E on any day during a year in a watershed is given by

    =

    otherwise 0

    mm/day 50 51

    )( EEf

    The probability that E lies in between 2 and 4 mm/day in a day in the watershed is (in decimal) _____________

    Q.4 The sum of Eigen values of the matrix, [M] is

    where [ ]

    =

    550355485835150655795650215

    M

    (A) 915 (B) 1355 (C) 1640 (D) 2180

    Q.5 With reference to the conventional Cartesian (x, y) coordinate system, the vertices of a triangle have the following coordinates: (x1, y1) = (1, 0); (x2, y2) = (2, 2); and (x3, y3) = (4, 3). The area of the triangle is equal to

    (A) 23

    (B) 43

    (C) 54

    (D) 25

    GATE 2014 Civil Engineering - CESET-1

    GATE Previous Year Solved Papers by

  • Q.6 Match the information given in Group I with those in Group - II.

    Group I Group II

    P Factor to decrease ultimate strength to design strength

    1 Upper bound on ultimate load

    Q Factor to increase working load to ultimate load for design

    2 Lower bound on ultimate load

    R Statical method of ultimate load analysis

    3 Material partial safety factor

    S Kinematical mechanism method of ultimate load analysis

    4 Load factor

    (A) P - 1; Q - 2; R - 3; S - 4 (B) P - 2; Q - 1; R - 4; S - 3 (C) P - 3; Q - 4; R - 2; S - 1 (D) P - 4; Q - 3; R - 2; S - 1

    Q.7 The possible location of shear centre of the channel section, shown below, is

    (A) P (B) Q (C) R (D) S

    Q.8 The ultimate collapse load (P) in terms of plastic moment Mp by kinematic approach for a propped cantilever of length L with P acting at its mid-span as shown in the figure, would be

    (A)

    LM

    P p2= (B)

    LM

    P p4= (C)

    LM

    P p6= (D)

    LM

    P p8=

    Q.9 While designing, for a steel column of Fe250 grade, a base plate resting on a concrete pedestal of M20 grade, the bearing strength of concrete (in N/mm2) in limit state method of design as per IS:456-2000 is ________________

    X

    P

    Y

    2L

    2L

    P

    Q

    R

    S

    GATE 2014 Civil Engineering - CESET-1

    GATE Previous Year Solved Papers by

  • Q.10 A steel section is subjected to a combination of shear and bending actions. The applied shear force is V and the shear capacity of the section is Vs. For such a section, high shear force (as per IS:800-2007) is defined as

    (A) V > 0.6Vs (B) V > 0.7Vs (C) V > 0.8Vs (D) V > 0.9Vs

    Q.11 The degree of static indeterminacy of a rigid jointed frame PQR supported as shown in the figure is

    (A) zero (B) one (C) two (D) unstable

    Q.12 In a beam of length L, four possible influence line diagrams for shear force at a section located at a distance of

    4L

    from the left end support (marked as P, Q, R and S) are shown below. The correct influence line diagram is

    (A) P (B) Q (C) R (D) S

    Q.13 The degree of disturbance of the sample collected by the sampler is expressed by a term called the "area ratio". If the outer diameter and inner diameter of the sampler are Do and Di respectively, the area ratio is given by

    (A) 222 (B) 222 (C) 222 (D) 222

    x

    Cable

    P EI

    EI

    y

    Q

    R 45

    90

    S

    0.75

    0.25

    0.6

    0.6

    0.5

    0.5

    1.0

    P Q R S

    4L

    43L

    4L

    43L

    4L

    43L

    4L

    43L

    GATE 2014 Civil Engineering - CESET-1

    GATE Previous Year Solved Papers by

  • Q.14 For a saturated cohesive soil, a triaxial test yields the angle of internal friction () as zero. The conducted test is

    (A) Consolidated Drained (CD) test (B) Consolidated Undrained (CU) test (C) Unconfined Compression (UC) test (D) Unconsolidated Undrained (UU) test

    Q.15 The action of negative skin friction on the pile is to

    (A) increase the ultimate load on the pile (B) reduce the allowable load on the pile (C) maintain the working load on the pile (D) reduce the settlement of the pile

    Q.16 A long slope is formed in a soil with shear strength parameters: c' = 0 and ' = 34. A firm stratum lies below the slope and it is assumed that the water table may occasionally rise to the surface, with seepage taking place parallel to the slope. Use sat = 18 kN/m3 and w = 10 kN/m3. The maximum slope angle (in degrees) to ensure a factor of safety of 1.5, assuming a potential failure surface parallel to the slope, would be

    (A) 45.3 (B) 44.7 (C) 12.3 (D) 11.3

    Q.17 An incompressible homogeneous fluid is flowing steadily in a variable diameter pipe having the large and small diameters as 15 cm and 5 cm, respectively. If the velocity at a section at the 15 cm diameter portion of the pipe is 2.5 m/s, the velocity of the fluid (in m/s) at a section falling in 5 cm portion of the pipe is ___________

    Q.18 A conventional flow duration curve is a plot between

    (A) Flow and percentage time flow is exceeded (B) Duration of flooding and ground level elevation (C) Duration of water supply in a city and proportion of area receiving supply exceeding this

    duration

    (D) Flow rate and duration of time taken to empty a reservoir at that flow rate

    Q.19 In reservoirs with an uncontrolled spillway, the peak of the plotted outflow hydrograph

    (A) lies outside the plotted inflow hydrograph (B) lies on the recession limb of the plotted inflow hydrograph (C) lies on the peak of the inflow hydrograph (D) is higher than the peak of the plotted inflow hydrograph

    GATE 2014 Civil Engineering - CESET-1

    GATE Previous Year Solved Papers by

  • Q.20 The dimension for kinematic viscosity is

    (A) MTL

    (B) 2TL

    (C) TL2

    (D) T

    ML

    Q.21 Some of the nontoxic metals normally found in natural water are

    (A) arsenic, lead and mercury (B) calcium, sodium and silver (C) cadmium, chromium and copper (D) iron, manganese and magnesium

    Q.22 The amount of CO2 generated (in kg) while completely oxidizing one kg of CH4 to the end products is ____________

    Q.23 The minimum value of 15 minute peak hour factor on a section of a road is

    (A) 0.10 (B) 0.20 (C) 0.25 (D) 0.33

    Q.24 The following statements are related to temperature stresses developed in concrete pavement slabs with free edges (without any restraint):

    P. The temperature stresses will be zero during both day and night times if the pavement slab is considered weightless

    Q. The temperature stresses will be compressive at the bottom of the slab during night time if the self-weight of the pavement slab is considered

    R. The temperature stresses will be compressive at the bottom of the slab during day time if the self-weight of the pavement slab is considered

    The TRUE statement(s) is(are)

    (A) P only (B) Q only (C) P and Q only (D) P and R only

    Q.25 The Reduced Levels (RLs) of the points P and Q are +49.600 m and +51.870 m respectively. Distance PQ is 20 m. The distance (in m from P) at which the +51.000 m contour cuts the line PQ is

    (A) 15.00 (B) 12.33 (C) 3.52 (D) 2.27

    GATE 2014 Civil Engineering - CESET-1

    GATE Previous Year Solved Papers by

  • Q. 26 Q. 55 carry two marks each. Q.26 If the following equation establishes equilibrium in slightly bent position, the mid-span deflection

    of a member shown in the figure is

    022

    =+ yEIP

    dxyd

    If a is amplitude constant for y, then

    (A)

    =L

    xa

    Py 2cos11 (B)

    =

    Lx

    aP

    y 2sin11

    (C) L

    xnay sin= (D)

    Lxn

    ay cos=

    Q.27 A box of weight 100 kN shown in the figure is to be lifted without swinging. If all forces are coplanar, the magnitude and direction () of the force (F) with respect to x-axis should be

    (A) F = 56.389 kN and = 28.28 (B) F = 56.389 kN and = 28.28 (C) F = 9.055 kN and = 1.414 (D) F = 9.055 kN and = 1.414

    Q.28 A particle moves along a curve whose parametric equations are: ,23 ttx += tey 23 = and ),5(sin2 tz = where ,x y and z show variations of the distance covered by the particle (in cm)

    with time t (in s). The magnitude of the acceleration of the particle (in cm/s2) at 0=t is ________

    Q.29 A traffic office imposes on an average 5 number of penalties daily on traffic violators. Assume that the number of penalties on different days is independent and follows a Poisson distribution. The probability that there will be less than 4 penalties in a day is ___________

    x

    y

    F 90 kN

    40 kN

    30 45

    100 kN

    L M N

    EI P P x

    y

    y

    GATE 2014 Civil Engineering - CESET-1

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  • Q.30 Mathematical idealization of a crane has three bars with their vertices arranged as shown in the figure with a load of 80 kN hanging vertically. The coordinates of the vertices are given in parentheses. The force in the member QR, FQR will be

    (A) 30 kN Compressive (B) 30 kN Tensile (C) 50 kN Compressive (D) 50 kN Tensile

    Q.31 For the cantilever beam of span 3 m (shown below), a concentrated load of 20 kN applied at the free end causes a vertical displacement of 2 mm at a section located at a distance of 1 m from the fixed end. If a concentrated vertically downward load of 10 kN is applied at the section located at a distance of 1 m from the fixed end (with no other load on the beam), the maximum vertical displacement in the same beam (in mm) is __________

    Q.32 For the truss shown below, the member PQ is short by 3 mm. The magnitude of vertical displacement of joint R (in mm) is _______________

    P (0, 4)

    Q (1, 0) R (3, 0)

    80 k

    N

    x

    y

    104.03

    22.84

    53.13

    2 m

    1 m

    20 kN

    2 mm

    4 m

    P

    4 m

    3 m Q

    R

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  • Q.33 A rectangular beam of width (b) 230 mm and effective depth (d) 450 mm is reinforced with four bars of 12 mm diameter. The grade of concrete is M20 and grade of steel is Fe500. Given that for M20 grade of concrete the ultimate shear strength, uc = 0.36 N/mm2 for steel percentage, p = 0.25, and uc = 0.48 N/mm2 for p = 0.50. For a factored shear force of 45 kN, the diameter (in mm) of Fe500 steel two legged stirrups to be used at spacing of 375 mm, should be

    (A) 8 (B) 10 (C) 12 (D) 16

    Q.34 The tension and shear force (both in kN) in each bolt of the joint, as shown below, respectively are

    (A) 30.33 and 20.00 (B) 30.33 and 25.00 (C) 33.33 and 20.00 (D) 33.33 and 25.00

    Q.35 For a beam of cross-section, width = 230 mm and effective depth = 500 mm, the number of rebars of 12 mm diameter required to satisfy minimum tension reinforcement requirement specified by IS:456-2000 (assuming grade of steel reinforcement as Fe500) is _____________

    Q.36 In a reinforced concrete section, the stress at the extreme fibre in compression is 5.80 MPa. The depth of neutral axis in the section is 58 mm and the grade of concrete is M25. Assuming linear elastic behavior of the concrete, the effective curvature of the section (in per mm) is

    (A) 2.0106 (B) 3.0106 (C) 4.0106 (D) 5.0106

    4

    3

    5

    Pu = 250 kN

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  • Q.37 Group I contains representative load-settlement curves for different modes of bearing capacity failures of sandy soil. Group II enlists the various failure characteristics. Match the load-settlement curves with the corresponding failure characteristics.

    Group I Group II

    P. Curve J 1. No apparent heaving of soil around the footing

    Q. Curve K 2. Rankines passive zone develops imperfectly R. Curve L 3. Well defined slip surface extends to ground surface

    (A) P - 1, Q - 3, R - 2 (B) P - 3, Q - 2, R - 1 (C) P - 3, Q - 1, R - 2 (D) P - 1, Q - 2, R - 3

    Q.38 A given cohesionless soil has emax = 0.85 and emin = 0.50. In the field, the soil is compacted to a mass density of 1800 kg/m3 at a water content of 8%. Take the mass density of water as 1000 kg/m3 and Gs as 2.7. The relative density (in %) of the soil is

    (A) 56.43 (B) 60.25 (C) 62.87 (D) 65.71

    Q.39 The following data are given for the laboratory sample.

    o' = 175 kPa ; eo = 1.1 ; o' + o' = 300 kPa ; e = 0.9

    If thickness of the clay specimen is 25 mm, the value of coefficient of volume compressibility is ___________ 104 m2/kN

    J K L

    Settlement

    Load

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  • Q.40 The flow net constructed for the dam is shown in the figure below. Taking the coefficient of permeability as 3.8106 m/s, the quantity of flow (in cm3/s) under the dam per meter of dam is ______________

    Q.41 A horizontal jet of water with its cross-sectional area of 0.0028 m2 hits a fixed vertical plate with a velocity of 5 m/s. After impact the jet splits symmetrically in a plane parallel to the plane of the plate. The force of impact (in N) of the jet on the plate is

    (A) 90 (B) 80 (C) 70 (D) 60

    Q.42 A venturimeter, having a diameter of 7.5 cm at the throat and 15 cm at the enlarged end, is installed in a horizontal pipeline of 15 cm diameter. The pipe carries an incompressible fluid at a steady rate of 30 litres per second. The difference of pressure head measured in terms of the moving fluid in between the enlarged and the throat of the venturimeter is observed to be 2.45 m. Taking the acceleration due to gravity as 9.81 m/s2, the coefficient of discharge of the venturimeter (correct up to two places of decimal) is ______________

    Q.43 A rectangular channel having a bed slope of 0.0001, width 3.0 m and Mannings coefficient n 0.015, carries a discharge of 1.0 m3/s. Given that the normal depth of flow ranges between 0.76 m and 0.8 m. The minimum width of a throat (in m) that is possible at a given section, while ensuring that the prevailing normal depth is not exceeded along the reach upstream of the contraction, is approximately equal to (assume negligible losses)

    (A) 0.64 (B) 0.84 (C) 1.04 (D) 1.24

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  • Q.44 Three rigid buckets, shown as in the figures (1), (2) and (3), are of identical heights and base areas. Further, assume that each of these buckets have negligible mass and are full of water. The weights of water in these buckets are denoted as W1, W2, and W3 respectively. Also, let the force of water on the base of the bucket be denoted as F1, F2, and F3 respectively. The option giving an accurate description of the system physics is

    (A) W2 = W1 = W3 and F2 > F1 > F3 (B) W2 > W1 > W3 and F2 > F1 > F3 (C) W2 = W1 = W3 and F1 = F2 = F3 (D) W2 > W1 > W3 and F1 = F2 = F3

    Q.45 An incompressible fluid is flowing at a steady rate in a horizontal pipe. From a section, the pipe divides into two horizontal parallel pipes of diameters d1 and d2 (where d1 = 4d2) that run for a distance of L each and then again join back to a pipe of the original size. For both the parallel pipes, assume the head loss due to friction only and the Darcy-Weisbach friction factor to be the same. The velocity ratio between the bigger and the smaller branched pipes is _________

    Q.46 16 MLD of water is flowing through a 2.5 km long pipe of diameter 45 cm. The chlorine at the rate of 32 kg/d is applied at the entry of this pipe so that disinfected water is obtained at the exit. There is a proposal to increase the flow through this pipe to 22 MLD from 16 MLD. Assume the dilution coefficient, n = 1. The minimum amount of chlorine (in kg per day) to be applied to achieve the same degree of disinfection for the enhanced flow is

    (A) 60.50 (B) 44.00 (C) 38.00 (D) 23.27

    Q.47 The potable water is prepared from turbid surface water by adopting the following treatment sequence.

    (A) Turbid surface water Coagulation Flocculation Sedimentation Filtration Disinfection Storage & Supply

    (B) Turbid surface water Disinfection Flocculation Sedimentation Filtration Coagulation Storage & Supply

    (C) Turbid surface water Filtration Sedimentation Disinfection Flocculation Coagulation Storage & Supply

    (D) Turbid surface water Sedimentation Flocculation Coagulation Disinfection Filtration Storage & Supply

    (1) (2) (3)

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  • Q.48 For a sample of water with the ionic composition shown in the figure below, the carbonate and non-carbonate hardness concentrations (in mg/l as CaCO3), respectively are:

    (A) 200 and 50 (B) 175 and 75 (C) 75 and 175 (D) 50 and 200

    Q.49 A straight 100 m long raw water gravity main is to carry water from an intake structure to the jack well of a water treatment plant. The required flow through this water main is 0.21 m3/s. Allowable velocity through the main is 0.75 m/s. Assume f = 0.01, g = 9.81 m/s2. The minimum gradient (in cm/100 m length) to be given to this gravity main so that the required amount of water flows without any difficulty is ___________

    Q.50 A traffic survey conducted on a road yields an average daily traffic count of 5000 vehicles. The axle load distribution on the same road is given in the following table:

    Axle load (tonnes) Frequency of traffic (%) 18 10

    14 20

    10 35

    8 15

    6 20

    The design period of the road is 15 years, the yearly traffic growth rate is 7.5% and the load safety factor (LSF) is 1.3. If the vehicle damage factor (VDF) is calculated from the above data, the design traffic (in million standard axle load, MSA) is ____________

    Q.51 The perception-reaction time for a vehicle travelling at 90 km/h, given the coefficient of longitudinal friction of 0.35 and the stopping sight distance of 170 m (assume g = 9.81 m/s2), is _____________ seconds.

    Q.52 The speed-density (uk) relationship on a single lane road with unidirectional flow is ,7.070 ku =

    where u is in km/hr and k is in veh/km. The capacity of the road (in veh/hr) is ___________

    0 4 5 7

    0 3.5 7

    meq/l

    meq/l

    Ca2+ Mg2+ Na+

    HCO3 SO42

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  • Q.53 An isolated three-phase traffic signal is designed by Webster's method. The critical flow ratios for three phases are 0.20, 0.30, and 0.25 respectively, and lost time per phase is 4 seconds. The optimum cycle length (in seconds) is ___________

    Q.54 A levelling is carried out to establish the Reduced Levels (RL) of point R with respect to the Bench Mark (BM) at P. The staff readings taken are given below.

    Staff Station BS IS FS RL

    P 1.655 m 100.000 m

    Q -0.950 m -1.500 m R 0.750 m ?

    If RL of P is +100.000 m, then RL (in m) of R is

    (A) 103.355 (B) 103.155 (C) 101.455 (D) 100.355

    Q.55 Group I lists tool/instrument while Group II lists the method of surveying. Match the tool/instrument with the corresponding method of surveying.

    (A) P 3; Q 2; R 1; S 4 (B) P 2; Q 4; R 3; S 1 (C) P 1; Q 2; R 4; S 3 (D) P 3; Q 1; R 2; S 4

    END OF THE QUESTION PAPER

    Group I Group II

    P. Alidade 1. Chain surveying Q. Arrow 2. Levelling R. Bubble tube 3. Plain table surveying S. Stadia hair 4. Theodolite surveying

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  • GATE 2014 - Answer Keys(SET -1)

    General Aptitude - GAQ. No. Key / Range Q. No. Key / Range Q. No. Key / Range1 A 5 1300 to 1300 9 D2 B 6 D 10 B3 D 7 B4 C 8 180 to 180

    Civil Engineering - CEQ. No. Key / Range Q. No. Key / Range Q. No. Key / Range1 C 20 C 39 7.6 to 8.02 23 to 23 21 D 40 7.10 to 7.853 0.4 to 0.4 22 2.7 to 2.8 41 C4 A 23 C 42 0.93 to 0.965 A 24 C 43 B6 C 25 B 44 D7 A 26 C 45 2 to 28 C 27 A 46 A9 9 to 9 28 12 to 12 47 A10 A 29 0.26 to 0.27 48 B11 A 30 A 49 4.7 to 4.912 A 31 1 to 1 50 307 to 31013 A 32 1.0 to 2.5 51 3.1 to 3.214 D 33 A 52 1750 to 175015 B 34 D 53 90 to 9516 D 35 2 to 2 54 C17 22 to 23 36 C 55 D18 A 37 A19 B 38 D

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  • Duration: 180 minutes Maximum Marks: 100

    Read the following instructions carefully.

    1. To login, enter your Registration Number and password provided to you. Kindly go through the various symbols used in the test and understand their meaning before you start the examination.

    2. Once you login and after the start of the examination, you can view all the questions in the question paper, by clicking on the View All Questions button in the screen.

    3. This question paper consists of 2 sections, General Aptitude (GA) for 15 marks and the subject specific GATE paper for 85 marks. Both these sections are compulsory. The GA section consists of 10 questions. Question numbers 1 to 5 are of 1-mark each, while question numbers 6 to 10 are of 2-mark each. The subject specific GATE paper section consists of 55 questions, out of which question numbers 1 to 25 are of 1-mark each, while question numbers 26 to 55 are of 2-mark each.

    4. Depending upon the GATE paper, there may be useful common data that may be required for answering the questions. If the paper has such useful data, the same can be viewed by clicking on the Useful Common Data button that appears at the top, right hand side of the screen.

    5. The computer allotted to you at the examination center runs specialized software that permits only one answer to be selected for multiple-choice questions using a mouse and to enter a suitable number for the numerical answer type questions using the virtual keyboard and mouse.

    6. Your answers shall be updated and saved on a server periodically and also at the end of the examination. The examination will stop automatically at the end of 180 minutes.

    7. In each paper a candidate can answer a total of 65 questions carrying 100 marks. 8. The question paper may consist of questions of multiple choice type (MCQ) and numerical answer

    type. 9. Multiple choice type questions will have four choices against A, B, C, D, out of which only ONE is the

    correct answer. The candidate has to choose the correct answer by clicking on the bubble () placed before the choice.

    10. For numerical answer type questions, each question will have a numerical answer and there will not be any choices. For these questions, the answer should be enteredby using the virtual keyboard that appears on the monitor and the mouse.

    11. All questions that are not attempted will result in zero marks. However, wrong answers for multiple choice type questions (MCQ) will result in NEGATIVE marks. For all MCQ questions a wrong answer will result in deduction of marks for a 1-mark question and marks for a 2-mark question.

    12. There is NO NEGATIVE MARKING for questions of NUMERICAL ANSWER TYPE.

    13. Non-programmable type Calculator is allowed. Charts, graph sheets, and mathematical tables are NOT allowed in the Examination Hall. You must use the Scribble pad provided to you at the examination centre for all your rough work. The Scribble Pad has to be returned at the end of the examination.

    Declaration by the candidate:

    I have read and understood all the above instructions. I have also read and understood clearly the instructions given on the admit card and shall follow the same. I also understand that in case I am found to violate any of these instructions, my candidature is liable to be cancelled. I also confirm that at the start of the examination all the computer hardware allotted to me are in proper working condition.

    GATE 2014 Solved Paper CE: Civil Engineering

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    SET - 2

  • Q. 1 Q. 5 carry one mark each. Q.1 Choose the most appropriate word from the options given below to complete the following

    sentence.

    A person suffering from Alzheimers disease short-term memory loss.

    (A) experienced (B) has experienced (C) is experiencing (D) experiences

    Q.2 Choose the most appropriate word from the options given below to complete the following sentence.

    ____________ is the key to their happiness; they are satisfied with what they have.

    (A) Contentment (B) Ambition (C) Perseverance (D) Hunger

    Q.3 Which of the following options is the closest in meaning to the sentence below?

    As a woman, I have no country.

    (A) Women have no country. (B) Women are not citizens of any country. (C) Womens solidarity knows no national boundaries. (D) Women of all countries have equal legal rights.

    Q.4 In any given year, the probability of an earthquake greater than Magnitude 6 occurring in the Garhwal Himalayas is 0.04. The average time between successive occurrences of such earthquakes is ____ years.

    Q.5 The population of a new city is 5 million and is growing at 20% annually. How many years would it take to double at this growth rate?

    (A) 3-4 years (B) 4-5 years (C) 5-6 years (D) 6-7 years

    Q. 6 Q. 10 carry two marks each.

    Q.6 In a group of four children, Som is younger to Riaz. Shiv is elder to Ansu. Ansu is youngest in the group. Which of the following statements is/are required to find the eldest child in the group? Statements

    1. Shiv is younger to Riaz. 2. Shiv is elder to Som.

    (A) Statement 1by itself determines the eldest child. (B) Statement 2 by itself determines the eldest child. (C) Statements 1 and 2 are both required to determine the eldest child. (D) Statements 1 and 2 are not sufficient to determine the eldest child.

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  • Q.7 Moving into a world of big data will require us to change our thinking about the merits of exactitude. To apply the conventional mindset of measurement to the digital, connected world of the twenty-first century is to miss a crucial point. As mentioned earlier, the obsession with exactness is an artefact of the information-deprived analog era. When data was sparse, every data point was critical, and thus great care was taken to avoid letting any point bias the analysis. From BIG DATA Viktor Mayer-Schonberger and Kenneth Cukier

    The main point of the paragraph is:

    (A) The twenty-first century is a digital world (B) Big data is obsessed with exactness (C) Exactitude is not critical in dealing with big data (D) Sparse data leads to a bias in the analysis

    Q.8 The total exports and revenues from the exports of a country are given in the two pie charts below. The pie chart for exports shows the quantity of each item as a percentage of the total quantity of exports. The pie chart for the revenues shows the percentage of the total revenue generated through export of each item. The total quantity of exports of all the items is 5 lakh tonnes and the total revenues are 250 crore rupees. What is the ratio of the revenue generated through export of Item 1 per kilogram to the revenue generated through export of Item 4 per kilogram?

    (A) 1:2 (B) 2:1 (C) 1:4 (D) 4:1

    Q.9 X is 1 km northeast of Y. Y is 1 km southeast of Z. W is 1 km west of Z. P is 1 km south of W. Q is 1 km east of P. What is the distance between X and Q in km? (A) 1 (B) 2 (C) 3 (D) 2

    Q.10 10% of the population in a town is HIV+. A new diagnostic kit for HIV detection is available; this kit correctly identifies HIV+ individuals 95% of the time, and HIV individuals 89% of the time. A particular patient is tested using this kit and is found to be positive. The probability that the individual is actually positive is _______

    END OF THE QUESTION PAPER

    Item 111%

    Item 220%

    Item 319%Item 4

    22%

    Item 512%

    Item 616%

    Exports

    Item 112%

    Item 220%

    Item 323%

    Item 46%

    Item 520%

    Item 619%

    Revenues

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  • Q.1 A fair (unbiased) coin was tossed four times in succession and resulted in the following outcomes: (i) Head, (ii) Head, (iii) Head, (iv) Head. The probability of obtaining a 'Tail' when the coin is tossed again is

    (A) 0 (B) 21

    (C) 54

    (D) 51

    Q.2

    The determinant of matrix _____________is

    2103103203013210

    Q.3 ii

    z +=5

    32 can be expressed as

    (A) 0.5 0.5i (B) 0.5 + 0.5i (C) 0.5 0.5i (D) 0.5 + 0.5i

    Q.4 The integrating factor for the differential equation tkoeLkPkdt

    dP1

    12=+

    is

    (A) tke 1 (B) tke 2 (C) tke 1 (D) tke 2

    Q.5 If {x} is a continuous, real valued random variable defined over the interval ( , + ) and its occurrence is defined by the density function given as: () = 12 12 2where 'a' and 'b' are the statistical attributes of the random variable {x}. The value of the integral 12 12 2 is (A) 1 (B) 0.5 (C) (D)

    2

    Q. 1 Q. 25 carry one mark each.

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  • Q.6 Group I contains representative stress-strain curves as shown in the figure, while Group II gives the list of materials. Match the stress-strain curves with the corresponding materials.

    (A) P - 1; Q - 3; R - 2 (B) P - 2; Q - 3; R - 1 (C) P - 3; Q - 1; R - 2 (D) P - 3; Q - 2; R - 1

    Q.7 The first moment of area about the axis of bending for a beam cross-section is (A) moment of inertia (B) section modulus (C) shape factor (D) polar moment of inertia

    Q.8 Polar moment of inertia (Ip), in cm4, of a rectangular section having width, b = 2 cm and depth, d = 6 cm is ________________

    Q.9 The target mean strength fcm for concrete mix design obtained from the characteristic strength fck and standard deviation , as defined in IS:456-2000, is (A) fck + 1.35 (B) fck + 1.45 (C) fck + 1.55 (D) fck + 1.65

    Q.10 The flexural tensile strength of M25 grade of concrete, in N/mm2, as per IS:456-2000 is __________

    Q.11 The modulus of elasticity, ck5000 fE = where ckf is the characteristic compressive strength of concrete, specified in IS:456-2000 is based on

    (A) tangent modulus (B) initial tangent modulus (C) secant modulus (D) chord modulus

    J

    K L

    Stress

    Strain

    Group I

    P. Curve J Q. Curve K R. Curve L

    Group II

    1. Cement paste 2. Coarse aggregate 3. Concrete

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  • Q.12 The static indeterminacy of the two-span continuous beam with an internal hinge, shown below, is ______________

    Q.13 As per Indian Standard Soil Classification System (IS: 1498 - 1970), an expression for A-line is

    (A) Ip = 0.73 (wL 20) (B) Ip = 0.70 (wL 20) (C) Ip = 0.73 (wL 10) (D) Ip = 0.70 (wL 10)

    Q.14 The clay mineral primarily governing the swelling behavior of Black Cotton soil is (A) Halloysite (B) Illite (C) Kaolinite (D) Montmorillonite

    Q.15 The contact pressure for a rigid footing resting on clay at the centre and the edges are respectively (A) maximum and zero (B) maximum and minimum (C) zero and maximum (D) minimum and maximum

    Q.16 A certain soil has the following properties: Gs = 2.71, n = 40% and w = 20%. The degree of saturation of the soil (rounded off to the nearest percent) is __________

    Q.17 A plane flow has velocity components ,1Tx

    u = 2Ty

    v = and 0=w along ,x y and z directions respectively, where 1T )0( and 2T )0( are constants having the dimension of time. The given flow is incompressible if

    (A) 21 TT = (B) 22

    1TT = (C)

    22

    1TT = (D) 21 TT =

    Q.18 Group I lists a few devices while Group II provides information about their uses. Match the devices with their corresponding use.

    Group I Group II

    P. Anemometer 1. Capillary potential of soil water Q. Hygrometer 2. Fluid velocity at a specific point in the flow stream R. Pitot Tube 3. Water vapour content of air S. Tensiometer 4. Wind speed

    (A) P - 1; Q -2; R - 3; S - 4 (B) P - 2; Q - 1; R - 4; S- 3 (C) P - 4; Q - 2; R - 1; S - 3 (D) P - 4; Q - 3; R - 2; S - 1

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  • Q.19 An isolated 3-h rainfall event on a small catchment produces a hydrograph peak and point of inflection on the falling limb of the hydrograph at 7 hours and 8.5 hours respectively, after the start of the rainfall. Assuming, no losses and no base flow contribution, the time of concentration (in hours) for this catchment is approximately (A) 8.5 (B) 7.0 (C) 6.5 (D) 5.5

    Q.20 The Muskingum model of routing a flood through a stream reach is expressed as ,1211202 OKIKIKO ++= where ,0K 1K and 2K are the routing coefficients for the concerned

    reach, 1I and 2I are the inflows to the reach, and 1O and 2O are the outflows from the reach corresponding to time steps 1 and 2 respectively. The sum of ,0K 1K and 2K of the model is

    (A) 1 (B) 0.5 (C) 0.5 (D) 1

    Q.21 The dominating microorganisms in an activated sludge process reactor are (A) aerobic heterotrophs (B) anaerobic heterotrophs (C) autotrophs (D) phototrophs

    Q.22 The two air pollution control devices that are usually used to remove very fine particles from the flue gas are

    (A) Cyclone and Venturi Scrubber (B) Cyclone and Packed Scrubber (C) Electrostatic Precipitator and Fabric Filter (D) Settling Chamber and Tray Scrubber

    Q.23 The average spacing between vehicles in a traffic stream is 50 m, then the density (in veh/km) of the stream is ________________

    Q.24 A road is being designed for a speed of 110 km/hr on a horizontal curve with a super elevation of 8%. If the coefficient of side friction is 0.10, the minimum radius of the curve (in m) required for safe vehicular movement is

    (A) 115.0 (B) 152.3 (C) 264.3 (D) 528.5

    Q.25 The survey carried out to delineate natural features, such as hills, rivers, forests and man-made features, such as towns, villages, buildings, roads, transmission lines and canals is classified as

    (A) engineering survey (B) geological survey (C) land survey (D) topographic survey

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  • Q.26 The expression lim0 1 is equal to

    (A) log (B) 0 (C) log (D)

    Q.27 An observer counts 240 veh/h at a specific highway location. Assume that the vehicle arrival at the location is Poisson distributed, the probability of having one vehicle arriving over a 30-second time interval is ____________

    Q.28 The rank of the matrix

    10014141881424406

    is _______________

    Q.29 Water is flowing at a steady rate through a homogeneous and saturated horizontal soil strip of 10 m length. The strip is being subjected to a constant water head (H) of 5 m at the beginning and 1 m at the end. If the governing equation of flow in the soil strip is 02

    2

    =dx

    Hd (where x is the distance

    along the soil strip), the value of H (in m) at the middle of the strip is ___________

    Q.30 The values of axial stress () in kN/m2, bending moment (M) in kNm, and shear force (V) in kN acting at point P for the arrangement shown in the figure are respectively

    (A) 1000, 75 and 25 (B) 1250, 150 and 50 (C) 1500, 225 and 75 (D) 1750, 300 and 100

    3 m

    Cable

    Beam (0.2 m 0.2 m) P

    Frictionless Pulley

    Q

    Q. 26 Q. 55 carry two marks each.

    50 kN

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  • Q.31 The beam of an overall depth 250 mm (shown below) is used in a building subjected to two different thermal environments. The temperatures at the top and bottom surfaces of the beam are 36C and 72C respectively. Considering coefficient of thermal expansion () as 1.50105 per C, the vertical deflection of the beam (in mm) at its mid-span due to temperature gradient is ________

    Q.32 The axial load (in kN) in the member PQ for the arrangement/assembly shown in the figure given below is _______________

    Q.33 Considering the symmetry of a rigid frame as shown below, the magnitude of the bending moment (in kNm) at P (preferably using the moment distribution method) is

    (A) 170 (B) 172 (C) 176 (D) 178

    S

    Beam R

    Q

    P

    160 kN

    2 m 2 m

    2 m

    36 C

    72 C 1.5 m 1.5 m

    250 mm

    8 m

    8 m

    24 kN/m

    P

    4Ic

    4Ic

    Ic

    Ic

    Ic

    6 m

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  • Q.34 A prismatic beam (as shown below) has plastic moment capacity of Mp, then the collapse load P of the beam is

    (A) LM p2

    (B) LM p4

    (C) LM p6

    (D) L

    M p8

    Q.35 The tension (in kN) in a 10 m long cable, shown in the figure, neglecting its self-weight is

    (A) 120 (B) 75 (C) 60 (D) 45

    Q.36 For the state of stresses (in MPa) shown in the figure below, the maximum shear stress (in MPa) is _______________

    Q.37 An infinitely long slope is made up of a c- soil having the properties: cohesion (c) = 20 kPa, and dry unit weight (d) = 16 kN/m3. The angle of inclination and critical height of the slope are 40 and 5 m, respectively. To maintain the limiting equilibrium, the angle of internal friction of the soil (in degrees) is _________________

    3 m

    P y

    3 m

    120 kN

    R

    S Q

    P

    2L

    2P

    2L

    3L

    2 2

    4

    4

    4

    Cable Cable

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  • Q.38 Group I enlists in-situ field tests carried out for soil exploration, while Group II provides a list of parameters for sub-soil strength characterization. Match the type of tests with the characterization parameters.

    Group I Group II

    P. Pressuremeter Test (PMT) 1. Menards modulus (Em) Q. Static Cone Penetration Test (SCPT) 2. Number of blows (N) R. Standard Penetration Test (SPT) 3. Skin resistance (fc) S. Vane Shear Test (VST) 4. Undrained cohesion (cu)

    (A) P - 1; Q - 3; R - 2; S - 4 (B) P - 1; Q - 2; R - 3; S - 4 (C) P - 2; Q - 3; R - 4; S - 1 (D) P - 4; Q - 1; R - 2; S - 3

    Q.39 A single vertical friction pile of diameter 500 mm and length 20 m is subjected to a vertical compressive load. The pile is embedded in a homogeneous sandy stratum where: angle of internal friction () = 30, dry unit weight (d) = 20 kN/m3 and angle of wall friction () = 2/3. Considering the coefficient of lateral earth pressure (K) = 2.7 and the bearing capacity factor (Nq) = 25, the ultimate bearing capacity of the pile (in kN) is _______________

    Q.40 A circular raft foundation of 20 m diameter and 1.6 m thick is provided for a tank that applies a bearing pressure of 110 kPa on sandy soil with Young's modulus, Es' = 30 MPa and Poisson's ratio, s = 0.3. The raft is made of concrete (Ec = 30 GPa and c = 0.15). Considering the raft as rigid, the elastic settlement (in mm) is (A) 50.96 (B) 53.36 (C) 63.72 (D) 66.71

    Q.41 A horizontal nozzle of 30 mm diameter discharges a steady jet of water into the atmosphere at a rate of 15 litres per second. The diameter of inlet to the nozzle is 100 mm. The jet impinges normal to a flat stationary plate held close to the nozzle end. Neglecting air friction and considering the density of water as 1000 kg/m3, the force exerted by the jet (in N) on the plate is _________

    Q.42 A venturimeter having a throat diameter of 0.1 m is used to estimate the flow rate of a horizontal pipe having a diameter of 0.2 m. For an observed pressure difference of 2 m of water head and coefficient of discharge equal to unity, assuming that the energy losses are negligible, the flow rate (in m3/s) through the pipe is approximately equal to (A) 0.500 (B) 0.150 (C) 0.050 (D) 0.015

    Q.43 A rectangular channel of 2.5 m width is carrying a discharge of 4 m3/s. Considering that acceleration due to gravity as 9.81 m/s2, the velocity of flow (in m/s) corresponding to the critical depth (at which the specific energy is minimum) is _______

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  • Q.44 Irrigation water is to be provided to a crop in a field to bring the moisture content of the soil from the existing 18% to the field capacity of the soil at 28%. The effective root zone of the crop is 70 cm. If the densities of the soil and water are 1.3 g/cm3 and 1.0 g/cm3 respectively, the depth of irrigation water (in mm) required for irrigating the crop is ________

    Q.45 With reference to a standard Cartesian (x, y) plane, the parabolic velocity distribution profile of fully developed laminar flow in x-direction between two parallel, stationary and identical plates that are separated by distance, h, is given by the expression = 2

    8 1 4 2

    In this equation, the y = 0 axis lies equidistant between the plates at a distance h/2 from the two plates, p is the pressure variable and is the dynamic viscosity term. The maximum and average velocities are, respectively

    (A) = 28 and = 23 (B) = 28 and = 23 (C) = 28 and = 38 (D) = 28 and = 38

    Q.46 A suspension of sand like particles in water with particles of diameter 0.10 mm and below is flowing into a settling tank at 0.10 m3/s. Assume g = 9.81 m/s2, specific gravity of particles = 2.65, and kinematic viscosity of water =1.0105102 cm2/s. The minimum surface area (in m2) required for this settling tank to remove particles of size 0.06 mm and above with 100% efficiency is _______________

    Q.47 A surface water treatment plant operates round the clock with a flow rate of 35 m3/min. The water temperature is 15 oC and jar testing indicated an alum dosage of 25 mg/l with flocculation at a Gt value of 4104 producing optimal results. The alum quantity required for 30 days (in kg) of operation of the plant is ____________

    Q.48 An effluent at a flow rate of 2670 m3/d from a sewage treatment plant is to be disinfected. The laboratory data of disinfection studies with a chlorine dosage of 15 mg/l yield the model

    tot eNN

    145.0= where Nt = number of micro-organisms surviving at time t (in min.) and No = number of micro-organisms present initially (at t = 0). The volume of disinfection unit (in m3) required to achieve a 98% kill of micro-organisms is ______________

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  • Q.49 A waste water stream (flow = 2 m3/s, ultimate BOD = 90 mg/l) is joining a small river (flow = 12 m3/s, ultimate BOD = 5 mg/l). Both water streams get mixed up instantaneously. Cross-sectional area of the river is 50 m2. Assuming the de-oxygenation rate constant, k' = 0.25/day, the BOD (in mg/l) of the river water, 10 km downstream of the mixing point is

    (A) 1.68 (B) 12.63 (C) 15.46 (D) 1.37

    Q.50 In a Marshall sample, the bulk specific gravity of mix and aggregates are 2.324 and 2.546 respectively. The sample includes 5% of bitumen (by total weight of mix) of specific gravity 1.10. The theoretical maximum specific gravity of mix is 2.441. The void filled with bitumen (VFB) in the Marshall sample (in %) is ___________

    Q.51 A student riding a bicycle on a 5 km one-way street takes 40 minutes to reach home. The student stopped for 15 minutes during this ride. 60 vehicles overtook the student (assume the number of vehicles overtaken by the student is zero) during the ride and 45 vehicles while the student stopped. The speed of vehicle stream on that road (in km/hr) is (A) 7.5 (B) 12 (C) 40 (D) 60

    Q.52 On a section of a highway the speed-density relationship is linear and is given by ]

    3280[ kv = ;

    where is in km/h and is in veh/km. The capacity (in veh/h) of this section of the highway would be

    (A) 1200 (B) 2400 (C) 4800 (D) 9600

    Q.53 A pre-timed four phase signal has critical lane flow rate for the first three phases as 200, 187 and 210 veh/hr with saturation flow rate of 1800 veh/hr/lane for all phases. The lost time is given as 4 seconds for each phase. If the cycle length is 60 seconds, the effective green time (in seconds) of the fourth phase is ______________

    Q.54 A tacheometer was placed at point P to estimate the horizontal distances PQ and PR. The corresponding stadia intercepts with the telescope kept horizontal, are 0.320 m and 0.210 m, respectively. The QPR is measured to be 61o 30' 30". If the stadia multiplication constant = 100 and stadia addition constant = 0.10 m, the horizontal distance (in m) between the points Q and R is _________________

    Q

    R

    P

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  • Q.55 The chainage of the intersection point of two straights is 1585.60 m and the angle of intersection is 140o. If the radius of a circular curve is 600.00 m, the tangent distance (in m) and length of the curve (in m), respectively are (A) 418.88 and 1466.08 (B) 218.38 and 1648.49 (C) 218.38 and 418.88 (D) 418.88 and 218.38

    END OF THE QUESTION PAPER

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  • GATE 2014 - Answer Keys(SET -2)

    General Aptitude - GAQ. No. Key / Range Q. No. Key / Range Q. No. Key / Range1 D 5 A 9 C2 A 6 A 10 0.48 to 0.493 C 7 C4 25 to 25 8 D

    Civil Engineering - CEQ. No. Key / Range Q. No. Key / Range Q. No. Key / Range1 B 20 D 39 6150 to 61902 88 to 88 21 A 40 B3 B 22 C 41 318 to 3194 D 23 20.0 to 20.0 42 C5 B 24 D 43 2.45 to 2.556 B 25 D 44 91 to 917 B 26 A 45 A8 40.00 to

    40.0027 0.25 to 0.28 46 31.0 to 32.0

    9 D 28 2.0 to 2.0 47 37800 to37800

    10 3.5 to 3.5 29 3.0 to 3.0 48 49.0 to 51.011 B 30 B 49 C12 0 to 0 31 2.38 to 2.45 50 62 to 6613 A 32 50.0 to 50.0 51 D14 D 33 C 52 B15 D 34 C 53 14.0 to 18.016 81.0 to 81.5 35 B 54 28.0 to 29.017 D 36 5.0 to 5.0 55 C18 D 37 21.0 to 23.019 D 38 A

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  • Paper specific instructions:

    1. There are a total of 65 questions carrying 100 marks. Questions are of multiple choice type or

    numerical answer type. A multiple choice type question will have four choices for the answer with

    only one correct choice. For numerical answer type questions, the answer is a number and no choices will be given. A number as the answer should be entered using the virtual keyboard on the monitor.

    2. Questions Q.1 Q.25 carry 1mark each. Questions Q.26 Q.55 carry 2marks each. The 2marks

    questions include two pairs of common data questions and two pairs of linked answer questions. The

    answer to the second question of the linked answer questions depends on the answer to the first

    question of the pair. If the first question in the linked pair is wrongly answered or is not attempted,

    then the answer to the second question in the pair will not be evaluated.

    3. Questions Q.56 Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks.

    Questions Q.56 Q.60 carry 1mark each, and questions Q.61 Q.65 carry 2marks each.

    4. Questions not attempted will result in zero mark. Wrong answers for multiple choice type questions

    will result in NEGATIVE marks. For all 1 mark questions, mark will be deducted for each wrong answer. For all 2 marks questions, mark will be deducted for each wrong answer. However, in the case of the linked answer question pair, there will be negative marks only for wrong answer to the

    first question and no negative marks for wrong answer to the second question. There is no negative

    marking for questions of numerical answer type.

    5. Calculator is allowed. Charts, graph sheets or tables are NOT allowed in the examination hall.

    6. Do the rough work in the Scribble Pad provided.

    CE:CIVIL ENGINEERING Duration: Three Hours Maximum Marks:100

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  • Q. 1 Q. 25carries one mark each. Q.1 There is no value of x that can simultaneously satisfy both the given equations.Therefore, find the

    least squares error solution to the two equations, i.e., find the value of that minimizes the sum of squares of the errors in the two equations. __________

    Q.2 What is the minimum number of multiplications involved in computing the matrix product PQR?

    Matrix has 4 rows and 2 columns, matrix has 2 rows and 4 columns, and matrixhas 4 rows and 1 column. __________

    Q.3 A 1-h rainfall of 10 cm magnitude at a station has a return period of 50 years. The probability that

    a 1-h rainfall of magnitude 10 cm or more will occur in each oftwo successive years is:

    (A) 0.04 (B) 0.2 (C)0.02 (D) 0.0004

    Q.4 Maximum possible value of Compacting Factor for fresh (green) concrete is:

    (A) 0.5 (B) 1.0 (C) 1.5 (D) 2.0

    Q.5 As per IS 800:2007, the cross-section in which the extreme fiber can reach the yield stress, but

    cannot develop the plastic moment of resistance due to failure by local buckling is classified as

    (A) plastic section (B) compact section

    (C) semi-compact section (D) slender section

    Q.6 The creep strains are

    (A) caused due to dead loads only

    (B) caused due to live loads only

    (C) caused due to cyclic loads only

    (D) independent of loads

    Q.7 As per IS 456:2000 for M20 grade concrete and plain barsin tension the design bond stress ..Further, IS 456:2000 permits this design bond stress value to be increased by % for HSD bars. The stress in theHSDreinforcing steel barsin tension, . Find the required development length,, for HSD barsin terms of the bar diameter, . __________

    Q.8 The plane section remains plane assumption in bending theory implies:

    (A) strain profile is linear

    (B) stress profile is linear

    (C) both strain and stress profiles are linear

    (D)shear deformations are neglected

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  • Q.9 Two steel columns P (length and yield strength ) and Q (length and yield strength ) have the same cross-sections and end-conditions. The ratio of buckling load of column P to that of column Q is:

    (A) 0.5 (B) 1.0 (C) 2.0 (D) 4.0

    Q.10 The pin-jointed 2-D truss is loaded with a horizontal force of at joint S and another vertical force at joint U, as shown.Find the force in member RS (in ) and report your answer taking tension as positive and compression as negative. __________

    Q.11 A symmetric I-section (with width of each flange , thickness of each flange , depth of web = 100 mm, and thickness of web ) of steel is subjected to a shear force of . Find the magnitude of the shear stress(in / in the web at its junction with the top flange. __________

    Q.12 In its natural condition, a soil sample has a mass of . and a volume of.. After being completely dried in an oven, the mass of the sample is . .Specific gravity is .. Unit weight of water is /. The degree of saturation of the soil is:

    (A) 0.65 (B) 0.70 (C) 0.54 (D) 0.61

    Q.13 The ratio Nf/Nd is known as shape factor, where Nf is the number of flow lines and Nd is the number of equipotential drops. Flow net is always drawn with a constant b/a ratio, where b and a

    are distances between two consecutive flow lines and equipotential lines, respectively. Assuming

    that b/a ratio remains the same, the shape factor of aflow net will change if the

    (A) upstream and downstream heads are interchanged

    (B) soil in the flow space is changed

    (C) dimensions of the flow space are changed

    (D) head difference causing the flow is changed

    4 m

    Q

    R S

    T U V

    W

    15

    4 m 4 m 4 m

    4 m

    15

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  • Q.14 Following statementsare made on compacted soils, wherein DS stands forthe soils compacted on

    dry side of optimum moisture content and WS stands for thesoils compacted on wet side of

    optimum moisture content. Identify the incorrect statement.

    (A) Soil structure is flocculated onDS and dispersed on WS.

    (B) Construction pore water pressure is low on DS and high on WS.

    (C)On drying, shrinkage is high on DS and low on WS.

    (D)On access to water, swelling is high on DS and low on WS.

    Q.15 Four columns of a building are to be located within a plot size of 10 m x 10 m. The expected load

    on each column is 4000 kN. Allowable bearing capacity of the soil deposit is 100 kN/m2. The type

    of foundation best suited is

    (A) isolated footing (B) raft foundation

    (C) pile foundation (D)combined footing

    Q.16 For subcritical flow in an open channel, the control section for gradually varied flow profiles is

    (A) at the downstream end (B) at the upstream end

    (C) at both upstream and downstream ends (D) at any intermediate section

    Q.17 Group-I contains dimensionless parameters and Group- II contains the ratios.

    Group-I Group -II

    P. Mach Number 1. Ratio of inertial force and gravitational force

    Q. Reynolds Number 2. Ratio of fluid velocity and velocity of sound

    R. Weber Number 3. Ratio of inertial force and viscous force

    S. Froude Number 4. Ratio of inertial force and surface tension force

    The correct match of dimensionless parameters in Group- I with ratios in Group-II is:

    (A) P-3, Q-2, R-4, S-1 (B) P-3, Q-4, R-2, S-1

    (C) P-2, Q-3, R-4, S-1 (D) P-1, Q-3, R-2, S-4

    Q.18 For a two dimensional flow field, the stream function is given as 22

    2

    3xy . The

    magnitude of discharge occurring between the stream lines passing through points (0,3) and (3,4)

    is:

    (A) 6 (B) 3 (C) 1.5 (D) 2

    Q.19 An isohyet is a line joining points of

    (A) equal temperature (B) equal humidity

    (C) equal rainfall depth (D) equal evaporation

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  • Q.20 Some of the water quality parameters are measured by titrating a water sample with a titrant.

    Group-I gives a list of parameters and Group-IIgives the list of titrants.

    Group-I Group-II

    P.Alkalinity 1. N/35.5 AgNO3

    Q. Hardness 2. N/40 Na2S2O3

    R. Chloride 3. N/50 H2SO4

    S. Dissolved oxygen 4. N/50 EDTA

    The correct match of water quality parameters in Group-I with titrants in Group-II is:

    (A) P-1, Q-2, R-3, S-4 (B)P-3, Q-4, R-1, S-2

    (C)P-2, Q-1, R-4, S-3 (D) P-4, Q-3, R-2, S-1

    Q.21 A water treatment plant is designed to treat 1 m3/s of raw water. It has 14 sand filters. Surface area

    of each filter is 50 m2. What is the loading rate (in ) with two filters out of service for routine

    backwashing? __________

    Q.22 Selectthe strength parameter of concrete usedindesign of plain jointed cement concrete pavements

    from the following choices:

    (A) Tensile strength

    (B) Compressive strength

    (C) Flexural strength

    (D) Shear strength

    Q.23 It was observed that 150 vehicles crossed a particular location of a highway ina duration of 30

    minutes. Assuming that vehicle arrival follows a negative exponential distribution, find out the

    number of time headways greater than 5 seconds in the above observation? __________

    Q.24 For two major roads with divided carriageway crossing at right angle,a full clover leaf interchange

    with four indirect ramps is provided. Following statements are made on turning movements of

    vehiclesto all directions from both roads. Identify the correct statement:

    (A) Merging from left is possible,butdiverging to left is notpossible.

    (B) Both merging from left and diverging to left arepossible.

    (C) Merging from left is not possible,butdiverging to left is possible.

    (D) Neithermergingfrom left nordivergingto leftispossible.

    Q.25 The latitude and departure of a line AB are +78 m and -45.1 m, respectively. The whole circle

    bearing of the line AB is:

    (A) 30 (B) 150 (C) 210 (D) 330

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  • Q. 26 to Q. 55 carry two marks each. Q.26 The state of 2D-stress at a point is given by the following matrix of stresses:

    What is the magnitude of maximum shear stressin MPa?

    (A) 50 (B) 75 (C) 100 (D) 110

    Q.27 Find the magnitude of the error (correct to two decimal places) in the estimation of following

    integral using Simpsons 3

    1 Rule. Take the step length as 1. __________

    40

    4 10 dxx

    Q.28 The solution for

    6

    0

    34 6sin3cos

    d is:

    (A) 0 (B) 15

    1 (C) 1 (D)

    3

    8

    Q.29 Find the value of such that the function )(xf is a valid probability density function. __________

    otherwisexforxxxf

    0

    21)2)(1()(

    Q.30 Laplace equation for water flow in soils is given below.

    02

    2

    2

    2

    2

    2

    z

    HyH

    x

    H

    Head H does not vary in y and z directions.

    Boundary conditions are: at x = 0, H = 5;and 1dxdH

    .

    What is the value of H at x = 1.2? __________

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  • Q.31 All members in the rigid-jointed frame shown are prismatic and have the same flexural stiffness. Find the magnitude of the bending moment at Q (in ) due to the given loading. __________

    Q.32 A uniform beam in the form of a quarter-circle of radius is fixed at end and free at the end , where a load is applied as shown. The vertical downward displacement, , at the loaded point is given by: . Find the value of (correct to 4-decimal places). __________

    P

    2 m

    100 kNm

    R

    3 m 4 m

    2 m

    Q

    S

    T

    P

    Q

    W

    R

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  • Q.33 A u

    (in

    CF

    Q.34 Bea

    mo

    bea

    just

    (A

    Q.35 A r

    ten

    giv

    ben

    can

    dea

    uniform beam in segmeto be weigh

    am having distribu

    am. The ma

    t to the right

    A) 30

    rectangular c

    sile wires, e

    ven section.

    nding momen

    n withstand w

    ad load of be

    5 m

    P

    m weighing ent AB of thi

    tless. ______

    as internal hi

    uted vertical

    aximum abso

    of support Q

    (B

    concrete beam

    each of 7 mm

    If the effec

    nt (in ) without caus

    am. _______

    5 m

    Q

    is suis cable (corr

    _____

    inges in span

    l load of ma

    olute value o

    Q shall be:

    B) 40

    m wm diameter,

    tive pre-stre

    (correct to 1

    sing tensile s

    ____

    Q

    upported at E

    rect to 1-dec

    ns and aximum inte

    of the shear f

    (

    wide and located at

    ess in the wi

    1-decimal pla

    stress at the

    20 m

    E and F by c

    cimal place).

    as shownnsity force (in

    C) 45 deep fromres isace) due to l

    bottom face

    able ABCD.

    Assume the

    n. The beam of any le) that can oc

    (

    is pre-stresse

    m the bottom, what is live loadthat

    of the beam

    5 m

    R

    Determine

    e cables ABC

    mmay be sub

    ength anywh

    ccur due to t

    (D) 55

    ed by means

    m face of th

    the maximu

    this sectiono

    m? Neglect th

    5 m m

    the tension

    CD, BE and

    bjected to a

    here on the

    this loading

    s of 16 high

    he beamat a

    um sagging

    of the beam

    he effect of

    S

    E

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  • Q.36 The soil profile below a lake with water level at elevation m and lake bottom at elevation m is shown in the figure, where k is the permeability coefficient. A piezometer (stand pipe) installed in the sand layer shows a reading of +10 m elevation. Assume that thepiezometric headis

    uniform in the sand layer. The quantity of water (in m3/s) flowing into the lake from the sand layer

    through the silt layer per unit area of the lake bed is:

    (A) 1.5 x 10-6 (B) 2.0 x 10-6

    (C) 1.0 x 10-6 (D) 0.5 x 10-6

    Q.37 The soil profile above the rock surface for a 25oinfinite slope is shown in the figure, where s

    u is the

    undrained shear strength and t is total unit weight. The slip will occur at a depth of

    (A) 8.83 m (B) 9.79 m (C) 7.83 m (D) 6.53 m

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  • Q.38 Two different soil types (Soil 1 and Soil 2) are used as backfill behind a retaining wall as shown in

    the figure, where t is total unit weight, and c' and ' are effective cohesion and effective angle of

    shearing resistance. The resultant active earth forceper unit length (in kN/m) acting on the wall is:

    (A) 31.7 (B) 35.2 (C) 51.8 (D) 57.0

    Q.39 A 2 km long pipe of 0.2 m diameter connects two reservoirs. The difference between water levels

    in the reservoirs is 8 m. The Darcy-Weisbachfriction factor of the pipe is 0.04. Accounting for

    frictional, entry and exit losses, the velocity in the pipe (in m/s) is:

    (A) 0.63 (B)0.35 (C) 2.52 (D) 1.25

    Q.40 The normal depth in a wide rectangular channel is increased by 10%. The percentage increase in

    the discharge in the channel is:

    (A) 20.1 (B) 15.4 (C) 10.5 (D) 17.2

    Q.41 The transplantation of rice requires 10 days and total depth of water required during transplantation

    is 48 cm. During transplantation, there is an effective rainfall (useful for irrigation) of 8 cm. The

    duty of irrigation water (in hectares/cumec) is:

    (A) 612 (B) 216 (C)300 (D) 108

    Q.42 A settling tank in a water treatment plant is designed for a surface overflow rate of30 .

    Assumespecific gravity of sedimentparticles = 2.65, density of water () = 1000 kg/m3, dynamic viscosity of water ()=0.001 N.s/m2,and Stokes lawisvalid.The approximate minimum size of particles that would be completely removed is:

    (A) 0.01mm (B) 0.02 mm(C) 0.03 mm(D) 0.04 mm

    Q.43 A student began experiment for determination of 5-day, 20C BOD on Monday. Since the 5thday

    fell on Saturday, the final DO readings were taken on next Monday. On calculation, BOD (i.e. 7

    day, 20C) was found to be 150 mg/L. What would be the5-day, 20C BOD (in mg/L)? Assume

    value of BOD rate constant (k) at standard temperature of 20C as 0.23/day (base e). __________

    2m

    2m

    Soil 1:

    t = 15 kN/m3; c' = 0; ' = 30o

    Soil 2:

    t = 20 kN/m3; c' = 0; ' = 40o

    Retaining wall

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  • Q.44 Elevation and temperature data for a place are tabulated below:

    Elevation, m Temperature, C

    4 21.25

    444 15.70

    Based on the above data, lapse rate can be referred as:

    (A) Super-adiabatic (B) Neutral (C) Sub-adiabatic (D) Inversion

    Q.45 The percent voids in mineral aggregate (VMA) and percent air voids (Vv) in a compacted

    cylindrical bituminous mix specimen are 15 and 4.5respectively. The percent voids filled with

    bitu