WBPSC AE 1998 (P.W. Deptt., common to all categories) question paper with answers

Q1.A bar is subjected to an uni-axial loading. The material of the bar will fall in shear if the ratio of the shear strength to the tensile strength is not more than

1. 1/2
2. 3/4
3. 2
4. 1

Q2.The maximum shear stres in a bar of rectangular corssection subjected to beinding bears the following ratio to the average shear stress

1. 1.2
2. 1.0
3. 1.33
4. 1.5

Q3.A beam AB of length L and of flexural figidly EI is hinged at its ends and is subjected to two clockwise couples of value M each at A and B. The central deflection is

1. ML²/16EI
2. ML²/8EI
3. ML²/12EI
4. Zero

Q4.In a simply supported beam of uniform rectangular crossection carrying an isolated force at the centre, the depth is halved, the deflection of the beam at the centre will be increased by a factor

1. 1/8
2. 2
3. 8
4. 16

Q5.The bending moment at the central section of a beam of span equal to L loaded by a uniformly distributed load of w/unit run covering a distance equal to L/4 form either ends of the support is given by

1. WL/12
2. WL/24
3. WL/32
4. Wl/16

Q6.A simply supported beam of span = L is loaded by a concentrated load W at a distance 'a' (a<L/2) from the right-hand support. The bending moment at the centre of span is given by

1. Wa
2. WL/2
3. Wa/2
4. Wa(L-a)/L

Q7.The bending moment at the ends of a fixed ended beam of span = L, loaded by two loads each equal to W acting at L/3 from each support is

1. 2WL/9
2. WL/12
3. 4WL/9
4. WL/15

Q8.The slope of the free end of a cantilver AB, fixed at A, free at B, of lenght = L and of constant 'EI' loaded by a uniformity distributed load of w/unit length run over half the length from A is given by

1. WL³/16EI
2. WL³/16EI
3. WL³/48EI
4. WL³/24EI

Q9.In a closed circular ring the number of statical indeterminacies are

1. two
2. three
3. four
4. one

Q10.A cross-section of a body is acted upon by a stress, intensity 'p'. The tangential stress 'pt' acting one a plane inclined at an angle θ to the direction of applied stress is given by

1. pt = p.sin²θ
2. pt = p.(sin²θ)/2
3. pt = p.sinθ
4. pt = p.(sin²2θ)/2

Q11.The principal plane of a stressed body is the plane where

1. normal stress and tangential stress are maximum
2. there is no normal stress
3. there is no tangential stress
4. magnitude of normal stress is equal to that of tangential stress

Q12.A cantilever beam of leangth 'l' acted upon by an external moment 'M' at the free end. Shear force (S.F) at a distance 'x' from free end shall be

1. S.F. = Mx/l
2. S.F. = 2Mx/l
3. S.F. = zero
4. S.F. = Mx²/l

Q13.Position of maximum bending moment in an arbitrarily loaded beam is were

1. load is maximum
2. Shear changes sign
3. Shear is maximum
4. Slope is zero

Q14.For calculating the maximum bending moment at any section of a simply support beam for a UDL of length smaller than the span-length of the beam, the load is to be placed in such a way that

1. the section bisecrs the loaded length of the beam
2. the load starts from the section and extends towards the further support
3. the rection divides the load in the span
4. the load starts from the section and extends towards the nearer support

Q15.To calculate by 'conjugte beam method' the slope and deflection at any section of a beam for any loading the conjugate beam is assumed to be loaded by

1. beinding moment diagram of the beam
2. M/I diagram of the beam
3. M/EI diagram of the beam
4. actual loading

Q16.A single bay single storied symetrical portal with indentical stiffness of al the there members and fixed at supports carries un UDL covering the horizontal member. Number of points of contraflecture will be

1. two in each of three members
2. two in each vertical and one in horizontal
3. one in each vartical and two in horizontal
4. one in each of three members

Q17.A square element id subjected to biaxial tensile stresses of equal magnitudes. The shear strees on an inclined plane is equal to

1. the magnitude of the tensile stress
2. Sum of the tensile stresses
3. zero
4. half the sum of the tensile stresses

Q18.In limit state method of design the partial safety factor for concrete is

1. 1.4
2. 1.2
3. 1.15
4. 1.5

Q19.The minimum reinforcement of steel of grade Fe 415 in either direction of a slab is given by

1. 0.2%
2. 0.12%
3. 0.15%
4. 0.18% of gross section

Q20.The development length is

1. Ts/tbd
2. Ts/3tbd
3. Ts/4tbd
4. Ts/5tbd

Q21.In case of a single angle strut the 'l/r' ratio should not be exceeded

1. 180
2. 250
3. 120
4. 80

Q22.The permissible stress for Fe 415 steel in tension used near water face for water tanks is

1. 100 N/mm²
2. 125 N/mm²
3. 140 N/mm²
4. 150 N/mm²

Q23.The sulphate content as SO4 in water to be used for concreting should not exceed

1. 1000 mg/L
2. 750 mg/L
3. 500 mg/L
4. 1250 mg/L

Q24.Corner steel is provided in slab

1. to resist the bending moment at the corner
2. to make the slab sufficiency rigid
3. to risist torsional moment
4. to prevent displacement of corners

Q25.The minimum percentage of steel in case of an axially loaded R.C.C. colum is given by

1. 1%
2. 0.8%
3. 0.5%
4. 0.2%

Q26.An R.C.C. column may be considered as short when the ratio of effective length of column to the least lateral dimension does not exceed

1. 8
2. 12
3. 15
4. 20

Q27.In under-reinforced section

1. the depth of the actual neutral axis is less than the balanced neutral axis depth
2. the depth of the actual neutral axis is more than the balanced neutral axis
3. the concrete reaches maximum permissible stress first
4. both concrete and steel reach maximum permissible strssses simultaneously

Q28.Permitted maximum slenderness ratio of a compression steel member under dead load and live load only in

1. 180
2. 250
3. 350
4. 400

Q29.In pre-stressed concrete members, percentage concrete sectional area utilised

1. 50%
2. 67%
3. 75%
4. 100%

Q30.The top reinforcement at the support section of a continuous beam shall be extended form eithre face of the column up to a distance equal to

1. effective span/3
2. effective span/6
3. effective span/5
4. effective span/8

Q31.The maximum spacing for vertical stirrups of shear reinforcements shall not exceed

1. 0.75d
2. 0.45d
3. d
4. 0.6d

Q32.Vicant apparatus is used to determine

1. durability of aggregate for concrete
2. impurities of water for concrete
3. initial and final setting time of cement
4. the strength of concrete

Q33.For purpose of determining the seismic force in structure, India has been classfied into several zones an calcutta falls in

1. Zone I
2. Zone III
3. Zone IV
4. Zone V

Q34.Which of the following materials has the highest carbon percentage?

1. Cast Iron
2. Mild steel
3. High carbon steel
4. Stainless steel

Q35.Long term losses in a post-tensioned girded are due to

1. elastic shortening, creep, shrinkage
2. creep, shrinkage, relaxation
3. creep, shrinkage, slip
4. relaxation, friction, creep, shrinkage

Q36.The degree of seturation of a soil at its shrinkage limit is

1. zero%
2. 50%
3. 75%
4. 100%

Q37.Phreatic line indicates the surface of seepage wate within the body of

1. earth dam
2. masonry dam
3. concrete dam
4. coffer dam

Q38.Maximum deflection in a steel beam should not generally exceed

1. 0.002 mm
2. 0.02 mm
3. 0.06 mm
4. 0.2 mm

Q39.The maximum deflection in a steel beam should not generally exceed

1. span/325
2. Span/300
3. span/250
4. span/400

Q40.The vertical stiffener of a plate girder is provided is d/tv exceeds-

1. 200
2. 85
3. 250
4. 400

Q41.The critical section for bending in a footing should be considered at

1. a distance of d/2 from the face of column
2. a distance of d from the face of column
3. the face of column
4. distance of d/6 form the face of column where d = effective depth

Q42.Indicate the correct response in respect of analysis of a symmetrical building frame for lateral loads by portal method.

1. each interior column carries twice as much shear as carried by each exterior column
2. for ends of columns in a substitute fram considered fixed
3. vertical force in a column is proportional to the distance from the centre of gravity of all columns
4. vertical force induced in each column same

Q43.The most active clay mineral is

1. Kaolinite
2. Illite
3. Montmorillonite
4. Muscovite

Q44.If the plasticity index of a soil mass is zero the soil is

1. Sand
2. Silt
3. Clay
4. Clayey-silt

Q45.The pressure transmitted through grain to train at the contact points through a soil mass is termed as

1. pore pressure
2. neutral pressure
3. effective pressure
4. total pressure

Q46.Liquid and plastic limits exist in

1. all types of soil
2. sand only
3. silt only
4. clay only

Q47.Colluvial soils are those which are

1. deposited by glaciers
2. deposited by gravitational force
3. deposited by wind
4. Deposited by see-water

Q48.For estimating bearing capacity of a saturated clay deposit the shear strength perometers should be determined from

1. direct shear test
2. undrained triaxial test
3. drained triaxial test
4. consolidated undrainedttriexial test

Q49.Loam is a mixture of

1. Silt and clay
2. sand and clay
3. clay and organic matter
4. sand silt and clay

Q50.The voiled ratio of a soil smaple decreased from 1.59 to 1.25 when pressure was increassed from 25 to 50 tonne/m². The coefficient at compressibility in m²/tonne is

1. 0.001
2. 0.01
3. 0.02
4. 0.05

Q51.If Kx and Kz are horizontal and verbical permeability respectively of a straified deposit, effective permeability is given by

1. √(KxKz)
2. √(Kx/Kz)
3. √(Kz/Kx)
4. (Kx+Kz)/2

Q52.The total active earth pressure on a retaining wall due to dry sandy back fill acts at H/3 above the base of the wall and is directly proportional to

1. 1/H
2. H
3. H²
4. H³

Q53.If water is pumped out, the effective stress within a soil mass is

1. increased
2. decreased
3. remains the same
4. dependent on rate of pumping

Q54.For a fully saturated soil of mositure content 22% P.L. and L.L. are found to be 18% and 45% respectively. P.I. of the soil is

1. 4%
2. 23%
3. 27%
4. 22%

Q55.Whole circle bearing of S45°W is

1. 4%
2. 23%
3. 27%
4. 22%

Q56.R being radius of earth, curvature correction in levelling between two stations depart is expressed as (with usual notation)

1. d²/2R
2. 2dR²
3. 2R²/d
4. 2R/d²

Q57.Log sine formula is used in triangulation to check

1. side condition
2. angle condition
3. apex condition
4. periphery condition

Q58.A well-conditioned triangle is one which

1. is either isosceles or equilateral
2. is composed of lines measured with the Invar tape
3. has angles neither too acute nor too obtuse
4. connects any three stations visible from a single station

Q59.Three-point problem is most suitable in

1. Contour Survey
2. Cadastral Survey
3. Tacheometric Survey
4. Hydrographic Survey

Q60.To minimum errors in fly levelling

1. the reduced levels of the staff stations should be equal
2. the instrument should be at equal distance from staff stations
3. the summation of back sight and fore sight should be minimum
4. the legs of the dumpy level shall be of same length

Q61.Contour gradient is

1. a line preserving a constant inclination to the horizontal
2. the slope of the shortest line joining two consecutive contours
3. the rate of constant difference of RL in a contou map
4. permissible chnage in bearing in alignments in hill area

Q62.The 'alidate' is used in

1. Chain survey
2. Plante Table
3. compass survey
4. Theodolite Survey

Q63.The process of fixing intermediate points is

1. Chaining
2. Levelling
3. Ranging
4. Sighting

Q64.Error due to 'Sag' in chain survey is

1. positive
2. negative
3. compensating
4. self-neutrailising

Q65.The imaginary line joining the inter-section of crosswise of diaphragm to opticaloentre of object glass and its continuation is

1. line of sight
2. axis of telescope
3. line of collination
4. horizontal axis line

Q66.If h is the difference in height between the end points of a chain of length L the slope correction is approximately equal to

1. 2h³/L²
2. h/2L
3. 2h²/L
4. h²/2L

Q67.A prismatic compass has 0° graduation at the

1. north end
2. south end
3. east end
4. west end

Q68.The horizontality of trunnion axis in theodolite is checked by

1. balancing sights
2. two peg test
3. spire test
4. two-point method

Q69.Local attraction in a prismatic compass is due to

1. gravity field
2. diurnal variation
3. earth's magnetic field
4. magnetic objects

Q70.Seasoning of timber is done to

1. increase fire resistance of timber
2. increase vermin resistance of timber
3. expel the moisture present in timber
4. to increase tensile strength

Q71.Strength of cement is mainly due to

1. C2S
2. C3S
3. C3A
4. C4AF

Q72.The purpose of adding pozzolana in cement is

1. to decrease shrinkage
2. to decrease heat of hydration
3. to increase durability
4. for quick development of final strength

Q73.Vicant's apparatus is used for determination of

1. fineness of cement
2. setting time of cement
3. soundness of cement
4. heat of hydration of cement

Q74.Critical path of a network is

1. the shortest duration path
2. the longest duration path
3. the most probable time path
4. the average time path

Q75.Which of the following trees yields soft wood?

1. sal
2. Dooda
3. Shisham
4. Teak

Q76.Which cement is expected to have the highest compressive strength after 72 hours?

1. Quick setting cement
2. Air-entrained cement
3. High alumina cement
4. Portland pozzolana cement

Q77.Heat of hydration in cement is mainly due to

1. di-calcium silicate
2. tri-calcium silicate
3. tri-calcium aluminate
4. tetra-calcium alumino ferrite

Q78.Initial setting time of ordinary protland cement

1. 10 minutes
2. 15 minutes
3. 30 minutes
4. 1 hour strength

Q79.In steel as the perdentage of carbon increase which of the following

1. Hardness
2. Brittleness
3. Ductility
4. Ultimate strength

Q80.The percentage of carbon in low carbon steel is

1. 0.15
2. 0.09
3. 0.26
4. 0.60

Q81.Membrane curing of concreate is adopted

1. in dry climate
2. when time for curing is limited
3. When structure is heavily reinforced
4. When mass production is done is factories

Q82.Purpose of slumb test in concrete is to ensure

1. strength
2. workability
3. soundness
4. durability

Q83.Suction lift of a water supply pump is equal is

1. length of suction pipe
2. height of pump above water level of storage reservoir
3. the vacuum pressure head
4. the atmospheric pressurel head less various hydrautic losses

Q84.House connections are given from the water mains through

1. stop cock
2. ferrule
3. goose-nect pie
4. gate valve

Q85.For laminar flow in a circular pipe, momentum correction factor is

1. 2
2. 3/2
3. 4/3
4. 5/4

Q86.In the computation of force exerted by a steady jet striking a fixed falt plate held perpendicular to it exis the assumption is

1. absolute speed does not change along the plate
2. frictional force between fluid and the plate is negligible
3. cross-sectional area of fluid stream over the plate is unaltered
4. pressure force is proportional to the jet area

Q87.In a steady pipe flow, hydraulic grade line

1. is always below the energy grade line
2. is always above the pipe centre
3. is always parallel to the energy grade line
4. pressure force is proportional to the jet area

Q88.For complete turbulent flow through pipes, friction factor

1. is independent of Reynolds number and relative roughness
2. depends on Reynolds number and relative roughness
3. depends on Reynolds number only
4. depends on relative roughness only

Q89.For a primematic channel of small alope relation between flow depths imain diately before and after a hydraulic jump are derived by using

1. continuity equation and momentum equation
2. momentum equation and energy equation
3. energy equation and continuity equation
4. continuity, momentum and energy equations

Q90.In laminar flow through a pipe

1. velocity is constant over the cross-section
2. discharge is proportional to have viscosity
3. loss of head is proportional to the square of the velocity
4. flow is rotational

Q91.In rainfall studies, a Thiessen polygon

1. is the descriptive term for the shape of a hydrograph
2. is a polygon obtained by joining adjoining raingaguge stations
3. is a representative area used for weighing observed precipitation at a raingauge station
4. is a representative area used for the construction of depth-area curve

Q92.Base flow of a stream is

1. the annual minimum flow in a stream
2. the flow unaffected by works of man
3. the delayed snowmett reaching a stream
4. the delayed ground water flow reaching a stream

Q93.A venturimeter is used for measuring

1. piezometric head
2. velocity head
3. flow rate
4. total energy

Q94.The rating curve applicable to a section of a stream, depends on

1. cross-sectional area and water surface slope
2. cross-sectional area
3. water surface slope
4. water surface elevation

Q95.In uniform open channel flow of small slope and curvature

1. the sum of bed elevation and flow depth is constant
2. water surface is not paralel to the channel bed
3. water surface conicides with the hydraulic grade line
4. water surface eleveation never rises in the direction of flow

Q96.The maximum velocity in open channels occurs

1. a little below the free-surface
2. at mid depth
3. at the free surface
4. near the channel bottom

Q97.Alternate depths of flow in a sloping channel are the depth

1. at which the total energies are same
2. at which specific energies are same
3. at which specific forces are same
4. which are conjugate to each other

Q98.For the same discharge of a given liquid carried by a circular pipe having laminar flow, reduction of diameter to half will increase the wall shear stress by a factor of

1. 2
2. 4
3. 8
4. 16

Q99.Ryve's formula for flood estimate in cumecs is

1. Q = CA^(3/4)
2. Q = CA^(3/4)
3. Q = CA^(1/4)
4. Q = CA^(2/3)

Q100.The most essential condition for a hydraulic jump to form is

1. the existence of subcritical flow before the jump
2. the existence of critical flow before the jump
3. the existence of supercritical flow before the jump
4. the constancy of specific energy