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All 99 questions from the WBPSC AE Civil 2007 paper (Assistant Civil Engineering — 2007). Answers and explanations for the first 10 are free below; the rest are in the full previous-papers pack, along with timed practice and scoring.
| Paper | Assistant Civil Engineering — 2007 |
| Questions | 99 |
| Marking (current pattern) | +2 for a right answer, −2/3 for a wrong one |
| Answers on this page | Q1–Q10 (rest in the full pack) |
Q1.The critical load for long columns can be calculated for one end fixed and other hinged condition as per Euler's formula
Answer: (b) 2π²EI/L²
Euler's buckling load is always written as Pcr = π²EI/Le², where Le is the effective length — the distance between two successive points of contraflexure (points of zero moment) on the buckled shape. For a column fixed at one end and hinged at the other, Le = 0.707L = L/√2, so Pcr = π²EI/(L/√2)² = 2π²EI/L² The four standard cases are worth memorising as multiples of the hinged-hinged load: both hinged 1×, one fixed–one hinged 2×, both fixed 4×, one fixed–one free 0.25×.
Q2.The variation of the horizontal shear stress in the flange of an I section is
Answer: (a) Lunear
Shear stress from the flexure formula is τ = VAȳ/(Ib). In the flange of an I-section the shear flows horizontally, parallel to the flange, and the width b used is the flange thickness tf, which is constant. Moving in from a free tip, the area moment Aȳ grows in direct proportion to the distance from the tip, so the horizontal shear stress rises linearly from zero at the flange tip to a maximum at the web face.
Q3.The normal strain in axial direction is 1.25 mm/m due to application of an axial tensile force. If Poisson's ratio is 0.3, the volumetric strain in the body will be
Answer: (a) 4×10⁻⁴
Under a uniaxial tensile stress the lateral strains are −με each, so the volumetric strain is ev = εx + εy + εz = ε(1 − 2μ) With μ = 0.3 the multiplier is 1 − 0.6 = 0.4: a bar in simple tension gains only 40 % of the volume its axial stretch alone would suggest. Note that at μ = 0.5 the multiplier vanishes — that is the incompressible limit, and it is why rubber and saturated clay under undrained loading are treated as constant-volume materials.
Q4.In elasticity
Answer: (b) strain is more fundamental
Elasticity is defined kinematically: a body is elastic if it recovers its original shape completely on removal of load. That definition is written entirely in terms of deformation. Strain is what a gauge actually measures — a change of length divided by a length — while stress is an inferred internal quantity, defined only through an assumed constitutive law and equilibrium.
Q5.Sagging moment may develop at support of a continous beam if
Answer: (c) yielding of support
Over an interior support a continuous beam normally carries a hogging (negative) moment. That moment is the price of continuity — the support holds the beam up against the natural sag of the adjacent spans. If the support yields (settles), that restraint is relaxed.
Q6.For unstiffened web, the slenderness ratio adopted to check web bucking is
Answer: (b) (h1√3)/tu
In web-buckling checks the web between the flanges is treated as a strut of length equal to the clear depth d1, carrying the load dispersed at 45° through the flanges down to the neutral axis. Both ends of that strut are restrained by the flanges, so the effective length is taken as d1/2 for an unstiffened web.
Q7.The permissible stress for crippling of a steel beam is equal to
Answer: (a) 0.75 fy
Web crippling (also called web bearing) is a local crushing failure of the web just above the root of the flange-to-web fillet, where the concentrated reaction is squeezed into the thin web.
Q8.Development length of bars of dia φ as per IS code
Answer: (d) φσst/(4τbd)
Development length is fixed by equating the force the bar can carry to the force the bond can transfer over the embedded length: (πφ²/4) σs = (πφ Ld) τbd Cancelling πφ gives the IS 456 Cl. 26.2.1 expression Ld = φ σs / (4 τbd) Note the structure of the result: the 4 is simply the ratio of area (φ² term) to perimeter (φ term). For deformed bars in tension τbd is increased by 60 %, and in compression by a further 25 %.
Q9.As per IS:800, bending moment for design of purlins can be taken as
Answer: (a) WL/10
Purlins span between roof trusses and are supported at every truss, so they behave as continuous members rather than simple beams. IS 800 accordingly permits the simplified design moment M = WL/10 where W is the total load (dead + live + wind, resolved normal to the roof slope) on one span and L the centre-to-centre spacing of the trusses. The same clause allows angle purlins to be proportioned empirically by d ≥ L/45 and b ≥ L/60, with the span in mm.
Q10.The maximum economical spacing of trusses is recommended as
Answer: (c) L/3
Truss spacing is an economic optimum, not a strength requirement. As the spacing widens, fewer trusses are needed (cost falls), but the purlins, sheeting and bracing span further and grow heavier (cost rises). The total-cost curve is flat-bottomed over roughly L/5 to L/3 of the truss span, so the upper economical limit is about L/3. Typical practice: spans up to 15 m are trussed at 3–4.5 m centres, and spans of 15–30 m at 4.5–6 m centres.
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Unlock all 12 papers — Rs. 349Q11.In reinforced concete footing on soil, the minimum thickness at edge of the footing should not be less than
Q12.The maximum percentage of reinforcement in long RCC columns is about
Q13.The ratio of the allowable stress in bending to that in direct compession in masonry is
Q14.If N is the modulus of rigidity and q is the intensity of shear stress, the strain energy due to shear is given by
Q15.When a body is subjected to a direct tensile stress (p) in one plane, then shear stress on an oblique section of the body inclined at an angle θ to be normal of the section is
Q16.A thin circular plate of radius r and thickness t is subnected to radial stress σ throughout its circumference. The unit volume change of the entire plate is
Q17.When modlus of righidity is equal to the bulk modulus the Poisson's ratio will be
Q18.A point subjected to a number of forces will be in equilibrium if
Q19.Two perfectly elastic spheres of equal masses moving in the same direction with their velocities in the ration 2:1 have an impact. After the impact, they will
Q20.Two simply supported beams B1 and B2 have spans l and 2l respectively. Beam B1 has a corsssection of 1×1 units and beam B2 has a cross-section of 2×2 units. These beams are subjected to concentrated load W at the centre of their span. The ratio of the maximum flexural stress in these beams is
Q21.A load 'W' is moving form left to right support on a simply supported beam of span 'L'. The maximum bending moment at 0.4L from the left support is
Q22.Torsion resisting capacity of a given reinforced concrete section
Q23.The lateral ties in a reinforced concrete rectangular column under axial compression are used to
Q24.Ties are load carrying members of a frame which are subjected to
Q25.In a structure under fatigue stresses, the welded joints as compared to rivetted joints will fail
Q26.When metacentre of a floating body is lower that the centre of gravity, then the body will be in
Q27.If the discharge Q in a pipe fitted with an endcap nozzle discharging a jet of water with velocity v and hitting normally a plate which is moving with a velocity v/2 towards the nozzle, the jet would hit the plate with a discharge.
Q28.Two pipe systems in series is said to be equivalent when
Q29.If the area of cross-section of an open channel remains constant the discharge will be maximum only wen
Q30.The tangential force exerted by the shearing stresses on an object submerged in a fluid is known as
Q31.The dimension of dynamic viscosity is
Q32.A rectangular channel carries 6.0 m³/sec flow of water. The critical velocity (Vc) in m/sec for a width of 3 m will be
Q33.Discharge over a rectangular notch or weir is given by the equation
Q34.The closure of a valve is said to be instantaneous when time of closure (t) is
Q35.In the generalised equation of Bernoulli's equation, each of the term represents
Q36.A soil has natural Moisture Content (MC) and atterg's limits are as follows, LL 60%, PL 30%, NMC 50%, the liquidity index of the soil is
Q37.The capacity of a group of piles driven in clay is
Q38.An earthen embankment is compacted at water content of 17% to a bulk density of 1.90 gm/cc. If the void ratio (e) is 0.63 and the sp. gr. of soil is 2.65, then degree of saturation of the compacted embankment will be
Q39.Cohesion
Q40.The net ultimate bearing capacity of a strip footing resting on clay compared to a suqare footing of same size is
Q41.A plate load test is useful to estimate
Q42.Under load the void ratio of a submerged saturated clay decreases from 1.00 to 0.92. What will be the ultimate settlement of the 2 m thick clay due to consolidation?
Q43.Which one of the following relations is not correct?
Q44.Permeability of soil varies
Q45.Comparatively sudden reduction in volume of a soil mass under an applied load is called
Q46.The principle of working of an optical square is based on
Q47.When the area to be surveyed is large having undulating grounds and higher accuracy is not required, then the best method suitable for surveying will be
Q48.The angle between the true meridian and the magnetic meridian at the time of observations is known as
Q49.During levelling, the following readings were obtained: R.L. of a point on floor = +10.000 M. Reading of a staff on this floor = +1.505 m its bottom touching the beneath of a girder = -2.495 m RL of the bottom of the girder
Q50.If the cross-sectional areas of an embankment at 30 m intervals are 20, 40, 60, 50 and 30 sq. m respectively, the volume of the embankment of the basis of preismoidal rule is
Q51.If the quadrantal bearing is N 25° W, then W.C.B. of the line is
Q52.The reading taken on a staff 100 m from the instrument with the bubble central was 1.872 m. The bubble is then moved 5 divisions out of the centre and the staff reading is observed to be 1.906 m. The sensitivity of the bubble tube will be
Q53.The length of the long chord of a simple circular curve of radius R and angle of deflection φ is
Q54.In a contour map, the contour lines
Q55.For a well conditioned traingle in triangulation surveying no angle should be less than
Q56.Excess vibration of a green concrete leads to
Q57.In stoneware pipe glazing is made for
Q58.Quartzite is a
Q59.Slack time in PERT analysis for critical activities equal to
Q60.Le Chatelier's device is used for determining the
Q61.Clamshell is used for
Q62.The minimum number of days after which the form work including props under the soffits of the beams can be removed is
Q63.Stainless steel resists corrosion due to a
Q64.A soft negative growth that forms in wood under damp condition in called
Q65.Generally the unit of measurement ofr partition wall is
Q66.Sinking fund is
Q67.The additional pile driven to incease the capacity of supporting loads on vertical piles is known as
Q68.During the construction period, price variation clause in contracts cater to
Q69.A dummy activity
Q70.Gnatt chart is drawn for
Q71.When drainage is the main concern, the attainment of superelevation may be made by rotating the pavement with respect to
Q72.Prime coat is provided to promote adhesion between
Q73.One of the major causes of rutting on flexible pavement is
Q74.In Marshall method of bituminous mix design the bitumen content is determined as the average of bitumen corresponding to
Q75.Which one of the following cracking failure is not generally obseived in flexible pavement?
Q76.The safe stopping sight distance in 'm' according to IRC recommendation for a design speed of 60 km/h is
Q77.The maximum limit of water absorption for aggregate suitable for road construction is
Q78.The amount of equilibrium superelevation should be equal to
Q79.In case of plain terrain, the rulling gradient should be steeper than
Q80.The total rainfall in a catchment of area 1200 km² during a 6 h storm is 160 mm. The infilitration index (φ) due to storm runoff 1.2×10¹⁴ cm³ is
Q81.In Francis equation for necessary correction for end contraction for calculation of discharge capacity of the spillway of a dam, "n" represents
Q82.As per Lacey's regime theory, the flow velocity is proportional to
Q83.If duty of water requires for a crop is 1000 ha/m³-sec and a base period of 100 days the total depth of water for crops will be nearly
Q84.In a gravity dam, total force due to wave pressure (hw) above the still water acts at a height of
Q85.An aquifer that is confined at the bottom but not at the top is known as
Q86.Interception loss is
Q87.When a river starts meandering, the sediment carrying capacity
Q88.Storage of water by impounding is required where
Q89.Draw down or depression head related to pumping in a well is
Q90.Biochemical oxygen demand of wastewate is a measure of
Q91.The growth of algae is useful in
Q92.A certain amount of sewage when allowed to settle it gives 28 cm³ of sludge. If the dry weight of this sludge is 4.0 gm, what will be the sludge index?
Q93.Bacteria coli are haarmless organism but there presence in water indicates the
Q94.In general pH value of fresh sewage remains
Q95.If the chlorine demand of a water sample is found to be 0.2 mg/lit and the smaple of bleaching powder contain 30% chlorine what will be the amount of such bleaching powder needed to treat 1 litre of water?
Q96.Break-point chlorination of water involves addition of chlorine in and amount sufficient to
Q97.Polyelectrolytes are usually
Q98.The average time required for a batch of water to pass through the setting basin is known as
Q99.Imhoff coc is employed to determine
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