MPSC AE 2020: Maharashtra Civil Engineering Services Main Examination, Paper I
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BOOKLET No.
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1. The kinematic indeterminacy of the following beam after imposing the boundary
conditions is
(1) 6 (2) 8 (3) 10 (4) 12
2. A fxed beam AB, of constant EI, shown in figure below, supports a concentrated load
of 10 KN. ~ h a t ' i s
the fixed end-moment MFABa t support A ?
3. Consider the following statements :
Sinking of an intermediate support of a continuous beam
(i) Reduces the negative moment a t support.
(ii) Increases the negative moment a t support.
(iii) Reduces the positive moment a t the ceritre of span.
(iv) Increases the positive moment a t the centre of span.
Out of these above statements :
(1) (i)and (iv) are correct (2) (i)and (iii) are correct
(3) (ii)and (iii) are correct (4) (ii)and (iv) are correct
4. Fixed end of propped cantilever due to a concentrated load P a t a distance 'a' from
fixed ends as shown in figure is given by
P
Pab (L + b) Pab (L + b)
(1) (2)
2 L2 L2
- Pab (L. + b)
(3)
2 L2
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5. The sinking moment in a prismatic fxed beam whose one support yields by S will be
where, 1 is length of beam
I is Moment of Inertia
E is Modulus of Elasticity
6. The distribution factor for BA member in the given figure is
7. In the frame shown in the figure, . if lateral sway of BC is A, the sway in member
DC is
(1) A (2) A cos 0 (3) A sin 0 (4) A sec 0
8. Pick up the correct option from the following for the beam as shown in the figure
i l ) a and c are correct (2) b and c are correct
(3) only d is correct (4) only c is correct
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9. If the far end of the beam is fixed, the stiffness of beam with usual notations is
10. If three members meet at a joint and the stiffness of members are K1 = EI,
K2 = 2 EI, K3 = 1.5 EI, the distribution factor for member 1is
1 2 2
(1) - (2) - (3) - (4) None of the above
3 7 9
11. Pick up the correct statement that corresponds to moment distributions method.
(i) Unbalanced moment is carried over to the other end of the member when the
joint is released.
(ii) Cany over moment has same sign as the distribution end moments.
(1) Both (i) and (ii) are correct
(2) Only (i) is correct
(3) Only (ii) is correct
(4) Both (i) and (ii) are incorrect
12. If the central rise of a symmetrical parabolic arch is 10 m, then the rise of the arch
at quarter point is
(1) 2.5 m (2) 5.0 m
(3) 7.5 m (4) 8.0 m
13. When a 3-hinged semi-circular arch is subjected to uniformly distributed load on
entire span, the nature of bending moment at any section is
(1) Sagging only
(2) Hogging only
(3) Zero
(4) Partially Sagging & Partially Hogging
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14. For suspension cable with two-hinged stiffening girder as shown in figure, the
influence diagram for horizontal thrust is
15. The net horizontal force (FH) on the top of this tower and the bending moment (B.M.)
a t the base of the tower due to cable reaction is
Saddle placed on roller
-
'/
LJC Tower
Figure : Roller support
Answer options :
(1) FH = TA cos 8, B.M. = TA sin 8 (2) FH = Ts cos 8, B.M. = Zero
(3) FH= Zero, B.M. = TA sin 8 - TA cos 0 (4) FH = Zero, B.M. = Zero
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16. A truss of panel dimensions 3 x n x 4 m is as shown in figure. The influence line
diagram for the force in the member U2 L3is
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17. Which principle can be used to obtain the general shape of the influence lines ?
(1) Bernoulli - Euler's Principle (2) Muller - Breslau's Principle
(3) Stokes' Principle (4) D'Alembert's Principle
18. The co-ordinates for a beam are shown in figure. Stiffness matrix is given by
19. For a prismat,ic beam element, if the stiffness matrix is -
flexibility matrix is L 1
2E1[2 '1, 2
then the
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20. The flexibility matrix of the beam shown below is
21. For stable structures, one of the important properties of flexibility and stiffness
matrices is that the element on the main diagonal
(i) of a stiffhess matrix must be negative.
(ii) of a stiffness matrix must be positive.
(iii) of a flexibility matrix must be positive.
(iv) of a flexibility matrix must be negative.
Answer options :
(1) (i) and (iii) (2) (i) and (iv)
(3) (ii) and (iii) (4) (ii) and (iv)
22. Flexibility matrix method of analysis is basically
(1) Forte method
(2) Displacement method
(3) Equilibrium method
(4) None of the above
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23. The angle of dispersion of load in web buckling of beam is
(1) 30" (2) 33O (3) 40" (4) 45"
24. In case of unequal angle section oriented with longer leg vertical, axis parallel to
shorter leg of the angle and passing from centroid of cross section is
(1) x - x axns (2) y-yaxis
(3) z - zaxis (4) u - u a x i s
25. Two steel plates of 100 mm width each, are lap jointed. If length of lap is 200 mm,
the maximum number of 20 mm diameter bolts that can be provided for connection
are
(1) one (2) two (3) three (4) four
26. Design of pin,s is primarily governed by
(1) Shear (2) Bearing (3) Flexure (4) All of the above
27. Slope of a truss is equal to
(1) pitch12 (2) pitch (3) 2 times pitch (4) 1.5 times pitch
28. In columns, splices should be provided at
(1) the floor levels (2) the mid height of columns
1 th
(3) the beam-column joints (4) - height of columns
4
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29. The imperfection factor for welded steel section is
(1) 0.21 (2) 0.35 (3) 0.42 (4) 0.49
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30. What is the efficiency of joint when strength of bolt per pitch length is 60 irN and
strength of plate per pitch length is 150 kN ?
(1) 25% (2) 30% (3) 35% (4) 40%
31. A bolted joint may experience
(1) shear failure
(2) shear failure of plates
(3) bearing failure and bearing failure of bolts
(4) All of the above
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32. The p w i a l safety factor for the material of bolt is
(1) 1.0 (2) 1.10 (3) 1.15 (4) 1.25
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33. Lacing shall be designed to resist a total transverse shear equal to of
axial force in member.
34. A continuous beam ABCD as shown in figure is subjected to U.D.L., t'kN/m over all
spans. What is the moment at support 'C' due to Dead Load (wd) and Live Load (wl)
as per IS 456-2000 ?
35. For two-way continuous slab of shorter span 5 3.5 m with HYSD reinforcement, the
span to overall depth ratio is taken a s to satisfy the vertical deflection
limit for loading class up to 3 kN/mz.
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36. What is the unsupported length of the column as shown in figure, if d s of column is
300 a m x 500 mm and d s of bracket is 300 mm x 500 mm ?
IW
37. A beam is designed using M20 grade of concrete and Fe415 grade of steel is used for
tension reinforcement. If diameter of main steel is 12 mm, then what is the
minimum value of development length (Ld) provided in support section ?
(1) 470 mm (2) 564 mm (3) 260 mm (4) 300 mm
38. The basic maximum ratio of span to effective depth of a slab simply supported and
spanning in one direction is , for spans up to 10 m.
'
(1) 35 (2) 25 (3) 30 (4) 20
39. The horizontal distance between parallel reinforcement bars or groups, near the
tension face of a beam shall not be if Fe415 grade of steel is used as
reinforcement without redistribution of moments.
(1) 125 mm (2) 150 mm
(3) 165 mm ( 4 ) 180 mm
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40. The thickness a t the edge of footing shall be not less than for footing on
soil nor less than above the top of the piles for footing on piles.
(1) 100 mm, 150 mm (2) 125 mm, 200 mm
(3) 150 mm, 300 mm (4) 150 mm, 150 mm
41. In case of stairs with open wells, where spans partly crossing at right angles occur,
the load on area common to any two such spans may be taken as in each
direction.
42. A circular water tank is designed to store water for 78,500 litres capacity. The water
tank rests on ground with flexible joints. If M30 concrete and Fe415 steel is used,
then what is the maximum hoop tension developed in water tank, if diameter and
total height of tank are 5 m and 4 m respectively ?
43. Cantilever retaining wall is designed mainly to resist from backfill.
(1) Active earth pressure
(2) Passive earth pressure
(3) Uplift earth pressure
(4) Water pressure
44. If the thickness of the slab is 160 mm, then what will be the maximum diameter of
reinforcing bars that can be used as main reinforcement ?
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45. The frictional and anchorage slip losses are observed in
(1) Post-tensioned members (2) Pre-tensioned members
(3) Ruptured members (4) Tensile members
46. A simply supported prestressed concrete beam of d s 150 mm x 250 mm is subjected
t o a superirnposed load of 5 W m over a span of 5 m. If the prestressing force of
750 kN is applied through parabolic cable with eccentricity of 50 mm at centre and
zero eccentricity at support, then what will be the extreme fibre stress at bottom
fibre at end support ? (Neglect the self-weight)
(1) 20MPa (2) 23.68 MPa (3) 16.31 MPa (4) 26 MPa
47. In reference to limit state of serviceability cracking, when cracking is permitted and
hypothetical tensile stresses are considered in design assuming section is uncracked,
it is
(1) Type-1 element (2) Type-2 element
(3) Type-3 element (4) Type-4 element
48. In the case of high tensile alloy steel bars, any straightening shall be carried out by
mechanical means. Bars shall not be bent when their temperature is less than
(1) 10" (2) 20" (3) 5" (4) 15'
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49. A post-tensioned prestressed concrete beam is stressed by three cables, each with d s
area of 50 mrn2 with an initial stress of 900 MPa. If all three cables are straight and
located at an eccentricity of 50 mm, consider modular ratio (m) = 6 and stress in
concrete at the level of steel (f,) = 5 MPa, then what will be the loss in stress in
cables due to elastic shortening if all cables are simultaneously tensioning and
anchoring ?
(1) 90MPa (2) 60 MPa (3) 30 MPa (4) 0
50. A rectangular concrete beam 120 x 300 mm is prestressed by straight cable, effective
force 180 kN at eccentricity e = 50, area 36 x lo3 mm2, z = 18 x lo3 mm3. Find total
stress due to prestress.
(1) 10 (2) 25 (3) 35 (4) 45
51. The minimum 28-day cube compressive strength prescribed in the Indian Standard
Code IS 1343 for pre-tensioned member is
(1) 30N/mm2 (2) 35 N/mm2 (3) 40 N/mm2 (4) 45 N/mm2
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52. At the time of initial tensioning, the maximum tensile stress, f . immediately behind
Pl
the anchorage shall not exceed of the ultimate tensile strength, fpUof the
wire or bar or strand.
(1) 46% (2) 67% (3) 76% (4) 87%
53. Minimum strength of concrete a t transfer stage shall be
(1) 0.5 fck (2) 0.24 & (3) 0.67 fck (4) 07 &
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54. Drying shrinkage strain develops slowly, as it
(1) develops during initial period of concreting
(2) depends on time
(3) develops due to prestressing of concrete
(4) is a function of migration of water through the hardened concrete
55. In the case of cables or large bars, the minimum clear spacing measured between
sheathingsfducts shall not be less than the larger of
(1) 30 mm or 3 times diameter of cables.
(2) 40 mm or maximum size of cables or bar or nominal maximum size of
aggregate plus 5 mm.
(3) 50 mm or 3 times diameter of cables or nominal maximum size of aggregate
plus 5 mm.
(4) 60 mm or 2 times diameter of cables or nominal maximum size of aggregate
plus 5 mm.
56. Which IS code describes detailed precautions regarding safety measures for drilling
and blasting operations ?
(1) IS 1456 - 2004 (2) IS 481 - 1967
57. When events of a bigger network are numbered as 10, 20, 30, 40, etc., what is the
process of numbering called ?
(1) Skip Numbering (2) Special Numbering
(3) Prime Numbering (4) Ultimate Numbering
58. What is optimistic time estimate considered in PERT analysis ?
(1) Maximum possible time (2) Shortest possible time
(3) Most likely time (4) None of the above
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59. In Quality Control, Reliability, for sampling of units, is expressed as a percentage in
the form of a Reliability number as
110. of defective units
no. of units tested
loo]
no. of units tested
no. of defective units
loo]
no. of units tested
x standard deviation
no. of defective units
(4) 100 - [no. of possible defective units]
60. Identify which of the following inventory control policy is classified on the basis of
consumption rate of inventory and helps to control obsolescence ?
(1) SDE (Scarce, Difficult and Easy)
(2) VED (Vital, Essential and Desirable)
(3) HML (High, Medium and Low)
(4) FSN (Fast, Slow and Normal)
61. In construction industry, the conformance cost associated with preparing work
instructions and checklist, drafting specifications, training of staff and workmen is
classified as
(1) Prevention Cost (2) Appraisal Cost
(3) Failure Cost (4) Inventory Cost
62. Which among the following are the principles which belong to modern management
theory suggested by Henry Fay01 ?
(i) Obtaining harmony in group action
(ii) Replacing rules of thumb with science
(iii) Authority and Responsibility
(iv) Unity of command
Answer options :
(1) Only (i), (ii) and (iii) (2) Only (i), (iii) and (iv)
(3) Only (ij and (iii) (4) Only (iii) and (iv)
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63. Which of the following statements are true for line-type organization ?
(i) These are easier to establish.
(ii) There is no unity of control.
(iii) Decisions can be taken quickly.
(iv) There is a strong sense of discipline.
Answer options :
(1) All of the above
(2) Only (i), (iii) and (iv)
(3) Only (i), (ii) and (iv)
(4) Only (i)
64. Which type of crane will you recommend for the construction of High Rise Building ?
(1) Crawler crane
(2) Truck mounted crane
(3) Tower crane
(4) Gantry crane
65. The occupational disease that results from the inhalation of specific dust to the
construction worker is
(1) Bursitis
(2) Hearing impairment
(3) Muscle disorder
(4) Pneumoconiosis
66. In quality management system, the set of activities which builds confidence of both
customers and managers and suggests that all quality requirements are being met is
called as
1 Quality of concept
(2) Design quality
(3) Quality control
(4) Quality assurance
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67. In solving simultaneous equations by Gauss-Jordan method, the coefficient matrix is
reduced to - matrix.
(1) Square (2) Diagonal
(3) Null (4) Triangular
68. Using Gauss-Jordanmethod, the solution of the system of equations
x+y+z=9
2 x - 3 y - + 4 z = 13
3x+44'+52=40
is
(1) X = 3 , ~ ' = l , Z = 5 (2) X=5,y=l,Z=3
69. Solve the following equations by Gauss elimination method.
2x+4~1-6~=-4
x + 5y + 32 = 10
x+3y+2z=5
70. Apply Gauss elimination method to solve the following equations.
x+4y-z=-5
x+y--6z=-12
3x-y-z=4
(4) x = - 2.2885, y = 1,4825, z = 3.7885
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71. While solving the following simultaneous equations by iterative methods, with
xl=O,x2=0andx3=O,
20x1 + 2x2 + 6x3 = 28
what will be the value of x l in next iteration ?
(1) 1.0 (2) 1.20 (3) 1.33 (4) 1.40
72. Obtain root of equation ffx) = cos x - xeX = 0 using bisection method.
(1) 0.515 (2) 0.425 (33 0.325 (4) 0.715
73. The root of the equation using x loglO x = 1.2, using Newton-Raphson method by
assuming initial approximation as 2 is
(1) 2.513 (2) 2.0256 (3) 2.169 (4) 2.741
74. Find the smallest positive root of the equation 3x3 - 9x2 + 8 = 0, correct to 4 places
of decimals using Newton-Raphson method.
(1) 3.2568 (2) 1.2261 (3) 2.2361 (4) 0.8261
6
76. Evaluate J ydx;;i by using Simpson's -38 rule. (Choose step size h = 1)
0
(1) 1.4326 (2) 3.1571 (3) 4.132 (4) 1.3571
3
78. The number of strips required in Simpson's - rule is a multiple of
8
77. Evaluate the integral I =
i . .
3
1
x 2 log x dx, using Simpson's - rule with h = 1.
3
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78. As a part of ground work for plaster, dots are laid on the surface of wall to be
plastered having size
(1) 10 cm x 10 cm (2) 20 cm x 20 cm
(3) 10 mm x 10 mm (4) 15 cm x 15 cm
79. A vertical member of a frame which is employed to sub-divide a window or door
vertically is called as
(1) Jamb (2) Reveal
(3) Transom (4) Mullion
80. Following paint hardens by evaporation of thinner or solvent :
(1) Aluminium paint (2) Cellulose paint
(3) Asbestos paint (4) Silicate paint
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81. A pneumatic caisson is a structure used in foundation work, which is
(1) Open a t top as well as bottom
(2) Open a t bottom and closed a t top
(3) Closed a t top as well as bottom
(4) Closed a t bottom and open a t top
82. By using which materials can resilient floors be made ?
(1) PVC (2) Rubber
(3) Linoleum (4) All of the above
83. In which IS code are details of slump test mentioned ?
(1) IS 1060 - 1968 (2) IS 1199 - 1999
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84. Which defect in timber is an early sign of decay ?
(1) Heart Shake (2) Star Shake
(3) Ringshake (4) Cup Shake
85. Normally what should be the height of building for which fire lifts must be
provided ?
(1) Above 15 meters (2) Above 25 meters
(3) Above 40 meters (4) Above 50 meters
88. As per IS 456 - 2000, minimum cement content for M25 grade concrete with
moderate exposure condition used in R.C.C. work is
(1) 250 kg/m3 (2) 300 kg/m3 (3) 320 kg/m3 (4) 340 kg/m3
87. The water seal in the traps varies from
(1) 5 to 10 cm (2) 3.5 to 7.5 cm (3) 2.5 to 5.0 cm (4) 3.0 to 7.5 cm
88. Specific gravity of building stones should be more than
(1) 2.7 (2) 2.9 (3) 3.0 (4) 2.5
-8% If constituent is in excess in brick earth it makes bricks brittle.
(1) Alumina (2) Silica
(3) Lime (4) Magnesia
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90. When a body is subjected to the two mutually perpendicular stresses, ox & oy, then
the centre of Mohr's circle from the origin is
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91. What will be the modulus of rigidity, if the value of modulus of elasticity is
200 KNImm" Poisson Ratio is 0.25 ?
(1) 70 (2) 80 (3) 125 (4) 200
92. Due to external loading, the length of member is decreased by dl. The ratio of
decrease in length to original length is called
(1) Intensity of stress (2) Compressive stress
(3) Shear strain (4) Compressive strain
93. A simply supported beam of span 'L' m is carrying a triangular load, varying
gradually from zero at supports (i.e. both ends) to W per unit length at the centre of
span. What will be the maximum bending moment ?
94. The bending equation is written as
(1) I - o - E (2) M
---=-
o2 E~
M Y R I Y R~
(3) M
-=-
o = -E ~ 2 . .o2 E~
-
(4) --
I Y R I Y R
95. If a point in a strained material is subjected to two mutually perpendicular stresses,
o x = 100 MPa (T) and oy = 50 MPa (C), then what will be the magnitude of
maximum shear stress ?
(1) 25 MPa (2) 50 MPa (3) 75 MPa (4) 150 MPa
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96. A bar of diameter 30 mm is subjected to a tensile load such that the measured
extension on a gauge length of 200 mm is 0.09 mm and the change in diameter is
0.0045 mm. Calculate the Poisson Ratio :
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97. A point of contraflexure in a bending moment diagram indicates
(1) Negative Bending moment
(2) Zero shear force
(3) Bending moment changes sign
(4) Shear force changes sign
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98. A simply supported beam of span 1 is carrying point load W at mid span. What is the
deflection at centre of beam ?
99. The section modulus of a circular section at an axis passing its CG is
100. A cantilever beam AB of length '1' and subjected to a U.D.L. of intensity 'w' IrNlm
over a length 'b' is shown in the figure. If EI is constant, then what is the deflection
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63 2 1 4 4 88 1 3 4 #
64 3 2 1 4 89 2 3 4 2
65 4 2 2 4 90 1 3 1 4
66 4 1 3 4 91 2 2 3 1
67 2 2 3 4 92 4 4 4 2
68 4 1 3 1 93 2 4 2 1
69 1 2 2 3 94 3 1 4 4
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71 4 2 4 2 96 1 4 3 4
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Source: Maharashtra Public Service Commission. Question paper published by Maharashtra Public Service Commission.