**SSC Junior Engineer Exam Paper – 2018 “held on 24 January 2018” Evening Shift (Civil Engineering)**

**Q1:-** Which of the following defect appears due to presences of alkalies in the bricks?

**Options:**

**1)** Bloating

**2)** Black core

**3)** Cracks

**4)** Efflorescence

**Answer:** Efflorescence

**Q2:-** For which of the following process Boucherie process is used?

**Options:
**

**1)**Manufacturing of bricks

**2)**Manufacturing of cement

**3)**Production of clay tiles

**4)**Treatment of green timber

**Answer:**Treatment of green timber

**Q3:-** What is the percentage content of asphalt in the cut-back asphalt?

**Options:
**

**1)**10%

**2)**30%

**3)**50%

**4)**80%

**Answer:**80%

**Q4:-** In which of the following test of bitumen Ring and Ball apparatus is used?

**Options:
**

**1)**Penetration test

**2)**Softening point test

**3)**Viscosity test

**4)**Flash and fire point test

**Answer:**Softening point test

**Q5:-** The defect in timber that causes longitudinal separation of woods between the annular rings is known as_____.

**Options:
**

**1)**Knots

**2)**Rind gall

**3)**Shakes

**4)**Twisted fibers

**Answer:**Shakes

**Q6:-** Which of the seasoning method is adopted for the rapid seasoning of timber on large scale to obtain any desired moisture content?

**Options:
**

**1)**Air seasoning

**2)**Boiling process

**3)**Kiln seasoning

**4)**Water seasoning

**Answer:**Kiln seasoning

**Q7:-** What is the gel-space ratio of a sample of concrete, if the concrete is made with the 600 g of cement with the water-cement ratio of 0.65?

**Options:
**

**1)**0.012

**2)**0.432

**3)**0.678

**4)**0.874

**Answer:**0.678

**Q8:-** The concrete sample is cured at 15 degree Celsius for 28 days. If the origin temperature is taken as -11 degree Celsius, what is the maturity (degree Celsius days) of concrete sample?

**Options:
**

**1)**112

**2)**308

**3)**402

**4)**728

**Answer:**728

**Q9:-** The ingredient of paint which are used to hide the surface irregularities and imparts color is known as______.

**Options:
**

**1)**Adultrants

**2)**Drier

**3)**Pigments

**4)**Solvents

**Answer:**pigments

**Q10:-** If the least lateral dimension of aggregate is less than 0.6 times of its mean dimension, the aggregate is classified as_____.

**Options:
**

**1)**Angular

**2)**Flaky

**3)**Irregular

**4)**Rounded

**Answer:**Flaky

**Q11:-** Explosive required for blasting is measured in______.

**Options:
**

**1)**Cubic meter

**2)**Explosive power

**3)**Energy released

**4)**Kilograms

**Answer:**kilograms

**Q12:-** Which of the following is the correct statement for length of the long wall as one move from earthwork to brick work in super structure in long and short wall method?

**Options:
**

**1)**Its value decreases

**2)**Its value depends upon the length of the wall.

**3)**Its value increases.

**4)**Its value remains same.

**Answer:**Its value decreases

**Q13:-** Calculate an approximate estimate (Rs.) of the building with total plinth area of the building is 500 square meters. The rate of the plinth area is Rs. 3,000 per square meters. The costs of the water supply and contingencies are 7% and 5% of cost of construction respectively.

**Options:
**

**1)**1500000

**2)**1650000

**3)**1680000

**4)**1870000

**Answer:**1680000

**Q14:-** Calculate the cost of the plastering required for a wall of 4 m long, 3.5 m high and 300 mm thick, if the rate of plastering is Rs. 12 per square meter.

**Options:
**

**1)**101

**2)**168

**3)**336

**4)**423

**Answer:**336

**Q15:-** Which of the following is the unit of measurement for the sills of windows?

**Options:
**

**1)**Cubic meter

**2)**Meter

**3)**Number

**4)**Square meter

**Answer:**Number

**Q16:-** Which of the following area is included in the plinth area of the building?

**Options:
**

**1)**Area of the lofts.

**2)**Area of barsati at terrace level.

**3)**Cornices

**4)**Tower projecting above terrace level.

**Answer:**Area of barsati at terrace level.

**Q17:-** Which of the following method is used for estimation of depreciation of building?

**Options:
**

**1)**Constant percentage method

**2)**Direct comparison method

**3)**Logistic curve method

**4)**Rental method

**Answer:**Constant percentage method

**Q18:-** Capitalized value of a property is the product of_____.

**Options:
**

**1)**Annual income and annuity

**2)**Annual income and interest

**3)**Annual income and sinking fund

**4)**Annual income and year’s purchase

**Answer:**Annual income and year’s purchase

**Q19:-** Calculate the total quantity (cubic meter) of the coarse aggregate required for an isolated rectangular footing of size 3 m x 2 m, if 1 : 2 : 4 cement concrete is used. The depth of the footing is 600 mm.

**Options:
**

**1)**2.05

**2)**2.46

**3)**3.16

**4)**3.82

**Answer:**3.16

**Q20:-** What is the actual size (mm) of the standard modular brick as per Indian Standards?

**Options:
**

**1)**190 x 90 x 90

**2)**200 x 90 x 90

**3)**200 x 100 x 100

**4)**229 x 114 x 76

**Answer:**190 x 90 x 90

**Q21:-** Which of the following statement is not correct for the principle of surveying?

**Options:
**

**1)**Location of a point with respect to two references

**2)**Major control points are measured with lower degree of precision.

**3)**Minor control points are measured with higher degree of precision

**4)**Working from part to whole

**Answer:**Working from part to whole

**Q22:**– Which one of the following set of internal angles (degree) of a triangle does not show well condition triangle?

**Options:
**

**1)**20, 90, 70

**2)**25, 45,110

**3)**40, 125, 15

**4)**35, 80, 65

**Answer:**35, 80, 65

**Q23:-** Calculate the magnetic declination, if the magnetic bearing of a line is N 81^{o}E and true bearing of the line N 77^{o}E.

**Options:
**

**1)**4 degree eastward

**2)**-8 degree eastward

**3)**-4 degree westward

**4)**4 degree southward

**Answer:**4 degree eastward

**Q24:-** The back sight reading taken from a level at a bench mark is 1.56 m and a fore sight at a point A is taken on an inverted staff is 1.65 m. Calculate the reduced level of the point A, if the reduced level of the bench mark is 150 m.

**Options:
**

**1)**146.79

**2)**149.91

**3)**152.8

**4)**153.21

**Answer:**153.21

**Q25:-** The ratio of focal length of the objective to stadia interval is called______.

**Options:
**

**1)**Additive factor

**2)**Multiplying factor

**3)**Staff intervals

**4)**Subtractive factor

**Answer:**multiplying factor

**SSC Junior Engineer (JE) All Previous Papers (NewtonDesk.com)**

**Q26:-** Calculate the additive and multiplying constant, if the focal length of the objective glass is 250 mm, stadia intercept is 2 mm and distance of the instrument axis from the center of the object glass is 190 mm.

**Options:
**

**1)**95, 440 mm

**2)**125 , 440 mm

**3)**440 , 95 mm

**4)**440 , 125 mm

**Answer:**440 , 125 mm

**Q27:-** What is the function of the plumbing fork in plane table surveying?

**Options:
**

**1)**Used for centering of plane table.

**2)**Used for leveling the plane table

**3)**Used for orientation of plane table.

**4)**Used for sighting the object.

**Answer:**Used for centering of plane table.

**Q28:-** The vernier scale in which 10 divisions of the viernier scale is equal to 9 divisions of the main scale is called_____.

**Options:
**

**1)**Direct vernier

**2)**Double vernier

**3)**Extended vernier

**4)**Retrograde vernier

**Answer:**direct vernier

**Q29:-** The maximum error (mm) on the drawing should not be greater than_____.

**Options:
**

**1)**0.01

**2)**0.025

**3)**0.25

**4)**0.1

**Answer:**0.25

**Q30:-** Which of the following is true for the correction for the curvature?

**Options:
**

**1)**It is proportional to the distance between the staff and instrument.

**2)**It is always negative and proportion to square of distance between the staff and instrument

**3)**It is always positive and proportion to square of distance between the staff and instrument

**4)**It is always positive and proportion to the distance between the staff and instrument

**Answer:**It is always negative and proportion to square of distance between the staff and instrument

**Q31:-** The void ratio of a soil sample is given by 0.58. What is the porosity of soil sample?

**Options:
**

**1)**0.157

**2)**0.367

**3)**0.524

**4)**0.602

**Answer:**0.367

**Q32:-** Which of the following bonding is responsible to combine the silica-gibbsite sheet in kaolinite clay mineral?

**Options:
**

**1)**Covalent bond

**2)**Hydrogen bond

**3)**Ionic bond

**4)**Polar covalent bond

**Answer:**Hydrogen bond

**Q33:-** The maximum dry density and optimum moisture content of a soil is given by 1.65 gm/cc and 20.5% respectively. What is the percentage of air content of soil at OMC, if the specific gravity of particles is given by 2.65?

**Options:
**

**1)**10.4

**2)**15.5

**3)**26.8

**4)**35.7

**Answer:**10.4

**Q34:-** Which of the following type of roller is most suitable for proof rolling subgrades and for finishing operation of fills with clayey or sandy soils?

**Options:
**

**1)**Pneumatic rubber tired roller

**2)**Sheepsfoot roller

**3)**Smooth wheel roller

**4)**Vibratory roller

**Answer:**Smooth wheel roller

**Q35:-** The value obtained from dividing limiting value of circulation by area of closed contour is known as______.

**Options:
**

**1)**Potential function

**2)**Stream function

**3)**Vorticity

**4)**None of these

**Answer:**vorticity

**Q36:-** In which of the following case flow net cannot be drawn?

**Options:
**

**1)**Irrotational flow

**2)**Steady flow

**3)**When flow is governed by gravity

**4)**When flow is not governed by gravity

**Answer:**When flow is governed by gravity

**Q37:-** Which of the following expression represent the simplified form of Colebrook equation use to calculate the friction factor, if variable have their standard meanings?

**Options:**

**Q38:-** If the velocity gradient is given by θ and dynamic viscosity of the fluid is given by μ. What is the shear stress on the wall of the boundary layer in the direction of motion?

**Options:
**

**1)**μθ

**2)**μ+θ

**3)**μ/θ

**4)**θ/μ

**Answer:-**μθ

**Q39:-** In which of the following unit kinematic viscosity of fluid is measured?

**Options:
**

**1)**m/s

**2)**m/s

^{2}

**3)**dyne

**4)**stokes

**Answer:**Stokes

**Q40:-** The hydraulic radius and cross-sectional area of a channel is given by 4.5 m and 18.5 sq.m respectively. What is the wetted perimeter (m) of channel?

**Options:
**

**1)**4.11

**2)**10.5

**3)**18.5

**4)**83.3

**Answer:**4.11

**Q41:-** Which of the following dimension represents the pressure?

**Options:
**

**1)**[MLT

^{-2}]

**2)**[ML

^{-1}T

^{-2}]

**3)**[LT

^{-2}]

**4)**[ML

^{-3}]

**Answer:**[ML

^{-1}T

^{-2}]

**Q42:-** The water is flowing through 800 m long circular pipe of diameter 30 cm with the velocity of 0.26 m/s. The friction factor for the pipe is given as 0.016. What is the head loss (cm) in the pipe due to friction?

**Options:
**

**1)**5.5

**2)**14.7

**3)**21.3

**4)**35.6

**Answer:**14.7

**Q43:-** If at the particular instant of time, the velocity of flow does not change with location over a specific region, the flow is called as_____.

**Options:
**

**1)**Steady flow

**2)**Unsteady flow

**3)**Uniform flow

**4)**Non-uniform flow

**Answer:**uniform flow

**Q44:-** Which of the following expression represents the continuity equation in case of steady Incompressible flow?

**Options:**

**Q45:-** Which of the following statement is correct for sprinkler irrigation method?

**Options:
**

**1)**It is used for rice and jute.

**2)**It is used for the soil has very low infiltration rate.

**3)**It is best suitable for very light soil.

**4)**It requires borders and field channel.

**Answer:**It is best suitable for very light soil.

**Q46:-** Calculate the permanent welting point if the depth of water in the root at the permanent welting point per meter depth of soil is 0.4 m. the dry density of the soil is 16 kN/m^{2}.

**Options:
**

**1)**0.025

**2)**0.245

**3)**0.4

**4)**0.64

**Answer:**0.245

**Q47:-** Which of the following is correct statement for the cross slope of the shoulder?

**Options:
**

**1)**It is 1% flatter than the cross slope of pavement.

**2)**It’s minimum value is 2%.

**3)**It is 0.5% steeper than the cross slope of the pavement

**4)**Its value is equal to the cross slope of pavement

**Answer:**It is 0.5% steeper than the cross slope of the pavement

**Q48:-** Calculate the safe stopping sight distance for a design speed of 60 km/h for two way traffic on a single lane road. The reaction time of driver is 2.5 sec.

**Options:
**

**1)**82.21

**2)**136.23

**3)**164.42

**4)**674.24

**Answer:**164.42

**Q49:-** What is the theoretical oxygen demand (mg/l) of a glucose solution of concentration 500 mg/l?

**Options:
**

**1)**250.33

**2)**380.65

**3)**533.33

**4)**650.21

**Answer:**533.33

**Q50:-** Which one of the following emission is the primary reason for the depletion of the ozone layer?

**Options:
**

**1)**CO

_{2 }

**2)**CFCs

**3)**CO

**4)**NO

_{2 }

**Answer:**CFCs

**SSC Junior Engineer (JE) All Previous Papers (NewtonDesk.com)**

**Q51:-** According to the Unwin’s formula, if t is the thickness of the plate in mm, the nominal diameter of the rivet is

**Options:
**

**1)**d=1.91t

**2)**d=1.91 t

^{2}

**3)**d=1.91 √t

**4)**None of these

**Answer:**d=1.91 √t

**Q52:-** Effective length of a column effectively held in position at both ends and restrained in direction at one end is

**Options:
**

**1)**L

**2)**0.67 L

**3)**0.85 L

**4)**1.5 L

**Answer:**0.85 L

**Q53:-** The most economical section for a column is

**Options:
**

**1)**Rectangular

**2)**Solid round

**3)**Flat strip

**4)**Tubular section

**Answer:**tubular section

**Q54:-** If the unsupported length of a stanchion is 4 meters and least radius of gyration of its cross-section is 5, the slenderness ratio of the stanchion is

**Options:
**

**1)**60

**2)**70

**3)**80

**4)**90

**Answer:**80

**Q55:-** A column splice is used to increase

**Options:
**

**1)**Length of the column

**2)**Strength of the column

**3)**Cross-sectional area of the column

**4)**None of these

**Answer:**length of the column

**Q56:-** A structural member subjected to tensile force in a direction parallel to its longitudinal axis, is generally known as

**Options:
**

**1)**A tie

**2)**A tie member

**3)**A tension member

**4)**All option are correct

**Answer:**All option are correct

**Q57:-** A major beam in a building structure is known as

**Options:
**

**1)**A girder

**2)**A floor beam

**3)**A main beam

**4)**All option are correct

**Answer:**All option are correct

**Q58:-** In rolled steel beams, shear force is mostly resisted by

**Options:
**

**1)**Web only

**2)**Flanges only

**3)**Web and flanges together

**4)**None of these

**Answer:**web only

**Q59:-** For a cantilever beam of length L built-in at the support and restrained against torsion at the free end, the effective projecting length ‘l’ is

**Options:
**

**1)**l = 0.7L

**2)**l = 0.75L

**3)**l = 0.85L

**4)**None of these

**Answer:**l = 0.75L

**Q60:-** Pick up the correct statement from the following:

**Options:
**

**1)**The steel beams placed in plain cement concrete are known as reinforced beams

**2)**The filler joists are generally continuous over three supports only

**3)**Continuous fillers are connected to main beams by means of cleat angles

**4)**Continuous fillers are supported by main steel beams

**Answer:**Continuous fillers are supported by main steel beams

**Q61:-** Concrete mainly consists of

**Options:
**

**1)**Cement

**2)**Aggregates

**3)**Admixture

**4)**All option are correct

**Answer:**All option are correct

**Q62:-** A concrete using an air entrained cement

**Options:
**

**1)**Has strength less than 10% to 15%

**2)**Has more resistance to weathering

**3)**Is more plastic and workable

**4)**Is free from segregation and bleeding

**Answer:**Is more plastic and workable

**Q63:-** of keeping concrete wet to enable it to attain full strength is known as:-

**Options:
**

**1)**Curing

**2)**Wetting

**3)**Drenching

**4)**Quenching

**Answer:**curing

**Q64:-** Segregation is responsible for

**Options:
**

**1)**Honey-combed concrete

**2)**Porous layers in concrete

**3)**Surface scaling in concrete

**4)**All option are correct

**Answer:**All option are correct

**Q65:-** W_{p} and W_{f} are the weights of a cylinder containing partially compacted and fully compacted concrete. If the compaction factor (W_{p}/W_{f}) is 0.95, the workability of concrete is

**Options:
**

**1)**Extremely low

**2)**Very low

**3)**Low

**4)**High

**Answer:**high

**Q66:-** The process of hardening the concrete by keeping its surface moist is known

**Options:
**

**1)**Placing

**2)**Wetting

**3)**Curing

**4)**Compacting

**Answer:**Curing

**Q67:-** Pick up the correct statement from the following

**Options:
**

**1)**There should not be any loss of cement from the charged drum of the mixer

**2)**Cement should be mixed for at least one minute

**3)**10% of water is placed in the rotating drum before adding dry material

**4)**All option are correct

**Answer:**All option are correct

**Q68:-** The final operation of finishing floors is known as

**Options:
**

**1)**Floating

**2)**Finishing

**3)**Troweling

**4)**All option are correct

**Answer:**All option are correct

**Q69:-** Expansion joints are provided if the length of concrete structures exceeds

**Options:
**

**1)**10 m

**2)**15 m

**3)**25 m

**4)**45 m

**Answer:**45 m

**Q70:-** A flaky aggregate is said to be elongated if its length is

**Options:
**

**1)**Equal to the mean size

**2)**Twice the mean size

**3)**Thrice the mean size

**4)**Four times the mean size

**Answer:**twice the mean size

**Q71:-** For the construction of cement concrete floor, the maximum permissible size of aggregates is

**Options:
**

**1)**4 mm

**2)**6 mm

**3)**8 mm

**4)**10 mm

**Answer:**10 mm

**Q72:-** Sand requiring a high water cement ratio, belongs to

**Options:
**

**1)**Zone I

**2)**Zone II

**3)**Zone III

**4)**Zone IV

**Answer:**Zone I

**Q73:-** The maximum amount of dust which may be permitted in aggregates is

**Options:
**

**1)**5% of the total aggregates for low workability with a coarse grading

**2)**10% of the total aggregates for low workability with a fine grading

**3)**20% of the total aggregates for a mix having high workability with fine grading

**4)**All option are correct

**Answer:**All option are correct

**Q74:-** The cement becomes useless if its absorbed moisture content exceeds

**Options:
**

**1)**0.01

**2)**0.02

**3)**0.03

**4)**0.05

**Answer:**0.05

**Q75:-** For concreting the surface of the runways, roads and pavements, the aggregate impact value shall not exceed by weight

**Options:
**

**1)**0.2

**2)**0.25

**3)**0.3

**4)**0.45

**Answer:**0.3

**SSC Junior Engineer (JE) All Previous Papers (NewtonDesk.com)**

**Q76:-** Pick up the correct statement from the following

**Options:
**

**1)**Density of normal concrete is about 2400 kg per cubic metre

**2)**Density of light weight concrete is about 1900 kg per cubic metre

**3)**Density of heavy concrete is about 3580 kg per cubic metre

**4)**All option are correct

**Answer:**All option are correct

**Q77:-** A sample of cement is said to be sound when it does not contain free

**Options:
**

**1)**Lime

**2)**Silica

**3)**Iron oxide

**4)**Alumina

**Answer:**Lime

**Q78:-** Consider the following statements regarding aggregates:

**1.** Dry aggregates absorb water from the mixing water and thus affect the workability

**2. **Aggregates containing surface moisture contribute extra

**3. **The free moisture content in fine aggregate results in reduction of volume

**4. **The free moisture content in coarse aggregate results in bulking of volume.

Of these statements:

**Options:
**

**1)**Statements 1 and 2 are correct

**2)**Statements 2 and 3 are correct

**3)**Statements 3 and 4 are correct

**4)**Statements 1 and 4 are correct

**Answer:**Statements 1 and 2 are correct

**Q79:-** If the permissible compressive and tensile stresses in a single reinforced beam are 50 kg/cm2 and 1400 kg/cm2 respectively and the modular ratio is 18, the percentage are At of the steel required for an economic section, is

**Options:
**

**1)**0.496%

**2)**0.596%

**3)**0.696%

**4)**None of these

**Answer:**0.696%

**Q80:-** The maximum shear stress (qmax) in a rectangular beam is

**Options:
**

**1)**1.25 times the average

**2)**1.50 times the average

**3)**1.75 times the average

**4)**2.0 times the average

**Answer:**1.50 times the average

**Q81:-** For M 150 mix concrete, according to I.S. specifications, local bond stress is

**Options:
**

**1)**5 kg/cm

^{2 }

**2)**10 kg/cm

^{2 }

**3)**15 kg/cm

^{2 }

**4)**20 kg/cm

^{2 }

**Answer:**10 kg/cm

^{2}

**Q82:-** The Properly bent up and hooked bar for resisting diagonal tension is beams is shown in which of the following figures?

**Options:
**

**1)**(a)

**2)**(b)

**3)**(c)

**4)**None of these

**Answer:**(b)

**Q83:-** An intermediate T-beam reinforced with two layers of tensile steel with clear cover 13 cm encasted with the floor of a hall 12 meters by 7 meters, is spaced at 3 meters from adjoining beams and if the width of the beam is 20 cm, the breadth of the flange is

**Options:
**

**1)**300 cm

**2)**233 cm

**3)**176 cm

**4)**236 cm

**Answer:**176 cm

**Q84:-** Long and short spans of a two way slab are l_{y} and l_{x} and load on the slab acting on strips parallel to l_{x} and l_{y} be w_{x} and w_{y} respectively. According to Rankine Grashoff theory

**Options:
**

**1)**W

_{x}/W

_{y}= l

_{y}/l

_{x }

**2)**W

_{x}/W

_{y}= (l

_{y}/l

_{x})

^{2 }

**3)**W

_{x}/W

_{y}= (l

_{y}/l

_{x})

^{3 }

**4)**W

_{x}/W

_{y}= (l

_{y}/l

_{x})

^{4 }

**Answer:**W

_{x}/W

_{y}= (l

_{y}/l

_{x})

^{4}

**Q85:-** If the diameter of the main reinforcement in a slab is 16 mm, the concrete cover to main bars is

**Options:
**

**1)**12 mm

**2)**13 mm

**3)**14 mm

**4)**16 mm

**Answer:**16 mm

**Q86:-** Top bars are extended to the projecting parts of the combined footing of two columns L distance apart for a distance of

**Options:
**

**1)**0.1 L from the outer edge of the column

**2)**0.1 L from the center edge of column

**3)**Half the distance of projection

**4)**One-fourth the distance of projection

**Answer:**0.1 L from the center edge of column

**Q87:-** A pile of length L carrying a uniformly distributed load W per meter length is suspended at two points, the maximum B.M. at the center of the pile or at the points of suspension is

**Options:
**

**1)**WL/8

**2)**WL

^{2}/24

**3)**WL

^{2}/47

**4)**WL

^{2}/26

**Answer:**WL

^{2}/47

**Q88:-** If W is the weight of a retaining wall and P is the horizontal earth pressure, the factor of safety against sliding is

**Options:
**

**1)**1

**2)**1.25

**3)**1.5

**4)**2

**Answer:**1.5

**Q89:-** The deflection of a uniform circular bar of diameter d and length l, which extends by an amount e under a tensile pull W, when it carries the same load at its mid-span is

**Options:
**

**1)**el/2d

**2)**(e

^{2}l)/(3d

^{2})

**3)**(el

^{2})/(3d

^{2})

**4)**√e/(3d

^{2})

**Answer:**(el

^{2})/(3d

^{2})

**Q90:-** The maximum deflection due to a uniformly distributed load w/unit length over entire span of a cantilever of length l and of flexural rigidity EI, is

**Options:
**

**1)**WL

^{3}/3EI

**2)**WL

^{4}/3EI

**3)**WL

^{4}/8EI

**4)**WL

^{4}/12EI

**Answer:**WL

^{4}/8EI

**Q91:-** If the normal stresses due to longitudinal and transverse loads on a bar are σ_{1} and σ_{2} respectively, the tangential component of the stress on an inclined plane through θ^{o}, the longitudinal load is

**Options:
**

**1)**σ

_{1}sinθ+ σ

_{2}cosθ

**2)**σ

_{1}sin

^{2}θ+ σ

_{2}cos

^{2}θ

**3)**(σ

_{1}– σ

_{2})(sin2θ)/2

**4)**(σ

_{1}+ σ

_{2})(sin2θ)/2

**Answer:**(σ

_{1}– σ

_{2})(sin2θ)/2

**Q92:-** The moment of inertia of a triangular section (height h, base b) about its base is

**Options:
**

**1)**(bh

^{2})/12

**2)**(b

^{2}h)/12

**3)**(bh

^{3})/12

**4)**(b

^{3}h)/12

**Answer:**(bh

^{3})/12

**Q93:-** In the truss shown below, the force in the member AC is

**Options:
**

**1)**6.25 t compressive

**2)**8.75 t tensile

**3)**{8.75/√3} t tensile

**4)**{8.75/√3} t compressive

**Answer:**{8.75/√3} t compressive

**Q94:-** The force in BC of the truss shown in the figure below is

**Options:-
**

**1)**3.0 t compression

**2)**3.0 t tension

**3)**(3√3)/2 t tension

**4)**(3√3)/2 t tension

**Answer:**(3√3)/2 t tension

**Q95:-** If a solid shaft (diameter 20 cm, length 400 cm, N = 0.8 x 105 N/mm^{2}) when subjected to a twisting moment, produces maximum shear stress of 50 N/mm^{2}, the angle of twist in radians is

**Options:
**

**1)**0.001

**2)**0.002

**3)**0.002

**4)**0.004

**Answer:**0.0025

**Q96:-** The load on a spring per unit deflection is called

**Options:
**

**1)**Stiffness

**2)**Proof resilience

**3)**Proof stress

**4)**Proof load

**Answer:**Stiffness

**Q97:-** In case of a simply supported rectangular beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge is

**Options:
**

**1)**L/2

**2)**L/3

**3)**L/4

**4)**L/5

**Answer:**L/3

**Q98:-** There are two hinged semicircular arches A,B and C of radii 5 m, 7.5 m, and 10 m respectively and each carries a concentrated load W at their crowns. The horizontal thrust at their supports will be in the ratio of

**Options:
**

**1)**1 : 1 ½ : 2

**2)**2 : 1 ½ : 1

**3)**1 : 1 : 2

**4)**None of these

**Answer:**1 : 1 : 2

**Q99:-** For determining the support reactions at A and B of a three-hinged arch, points B and C are joined and produced to intersect the load line at D and a line parallel to the load line through A at D’. Distances AD,DD’ and AD’ when measured were 4 cm, 3 cm and 5 cm respectively. The angle between the reactions at A and B is

**Options:
**

**1)**30

^{o }

**2)**45

^{o }

**3)**60

^{o }

**4)**90

^{o }

**Answer:**90

^{o}

**Q100:-** The equivalent length of a column of length L having one end fixed at the other end free is L

**Options:
**

**1)**2L

**2)**L

**3)**L/2

**4)**L/√2

**Answer:**2L