MPSC AE 2017: Maharashtra Civil Engineering Services Main Examination, Paper 1
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1. Determine the degree of static and kinematic indeterminacy of the frame structure
as shown in the figure.
2. A cantilever truss as shown in the figure is subjected to a horizontal load 'P' at joint
A. The total number of zero force members in the truss is
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3. A continuous beam ABC is as shown in the figure. End supports are simple (i.e., A
and C) and span AB = span BC = L. There is a concentrated load W' a t the centre of
the span AB while no load over the span BC. Ej is same for both the spans. What is
the moment a t the continuous support B ?
IW
4. A beam ABC is supported and loaded as shown in the figure. Find the support
reactions a t A and B. (Neglect horizontal reaction a t A)
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5. A simple truss ABC is supported a t A and B as shown in the figure. If a point load
(P) along BC is applied a t joint C in horizontal direction, then what will be the
vertical .deflection at C ? Assume same Cl5 area and same materials (i.e., A, E, I
same for all members).
6. In a fixed beam of span 'L' subjected to a central concentrated load W, the fixed end
moment and moment a t midspan are respectively
WL WL
(2) and -
8
WL WL
(3) and - (4) None of the above
12
7. In the pin-jointed truss shown in the figure, the static degree of indeterminacy is
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8. For the frame shown in the figure, the shear equation is
9. In the force method of analysis of indeterminate trusses, if the truss is
indeterminate to degree one, the change in length of redundant member due to unit
force is found by using the formula
where A is cross-sectional area
I - Moment of Inertia
n - force in the member due to unit load application
N - force in the member due to actual load
E - Modulus of Elasticity
10. In the moment distribution method, the carry over moment is equal to
(1) double of its corresponding distributed moment and has same sign
(2) one-half of its corresponding distributed moment and has same sign
(3) one-half of its corresponding distributed moment and has opposite sign
(4) None of the above
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11. For both ends of the fxed beam shown in the figure carrying a concentrated load
eccentrically placed on the beam, deflection under load is
W
(2)
w ab2
3 EIL
12. A continuous beam ABC is simply supported a t supports A, B and C. Portion AB has
span of 6 m and BC 4 m. Portion AB is loaded'with a concentrated load of 120 kN
downward a t 3 m from A. The qualitative reactions shall be
(1) Reactions a t A and B shall be upward and reaction at C shall be zero
(2) Reactions a t A and B shall be upward and reaction a t C shall be downward
(3) All reactions i.e., a t A, B and C shall be upwards
(4) None of the above
13. A beam AB is simply supported and has flexural rigidity EI. The flexural strain
energy of the beam having span 6 m and carrying a central point load of 10 kN is
(1) 142.381EI (2) 775/EI
(3) 225/EI (4) None of the above
14. A given determinate truss is loaded with gravity loads. Under these loads different
nodes undergo deflection horizontally and vertically. Thereafter the truss is
subjected to a temperature drop of 50°C in the lower chord only. The coefficient of
expansion or contraction a = 11-7 x 104/"C. Which of the following statements is
true ?
(1) Vertical and horizontal deflection along lower chord nodes remains the same.
(2) Vertical and horizontal deflections along lower chord nodes shall change.
(3) Horizontal deflection along lower chord nodes shall change but vertical
deflection shall not change
(4) None of the above
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15. If the span and dip of a parabolic cable are L and h respectively, then the length of
the cable is approximately equal to
16. A three-hinged semicircular arch of radius R carries a uniformly distributed load W
per unit run over the whole span.
The horizontal thrust is
17. For the plane truss shown in the figure, the number of zero force members for the
given loading is
18. A structure is said to be statically indeterminate when
(1) the number of unknown reaction components exceeds the number of
equilibrium conditions.
(2) the number of equilibrium conditions exceeds the number of unknown reaction
components.
(3) the number of equilibrium conditions equal to the number of unknown reaction
components.
(4) None of the above
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19. Which truss is the perfect truss out of the following ?
20. The flexibility method is also known as the
(1) Energy method (2) Equilibrium method
(3) Displacement method (4) Force method
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The figure given below shows a pin-jointed frame :
What are the forces in members BE, CD and ED ?
(1) 10 kN, 5 kN and 5 kN 12) 10 kN, 5 kN and Zero
(3) 5 kN, 10 kN and Zero (4) 5 kN, 5 kN and Zero
22. A beam ABC is simply supported a t A and B, BC is overhanging. Span AB = 8 m,
BC = 2 m. Point 'D' is situated a t 3 m from A. Using an influence line diagram or
otherwise, find the maximum ordinates a t 'D' of the influence line diagram for shear
a t 'D'.
(1) - 0.375 (2) - 0.625 (3) + 0.625 (4) + 1.875
23. For compression members with double angle section, unequal angles are preferred to
equal angles because
(1) they are easy for connection
(2) they lead to large value of minimum radius of gyration
(3) they have lesser effective length
(4) of saving in gusset plate material
24. Minimum pitch for riveted connections should not be less than
(1) 1.5 times the hole diameter
(2) 2.5 times the hole diameter
(3) 1.5 times the nominal diameter of rivet
(4) 2.5 times the nominal diameter of rivet
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25. The effective slenderness ratio of a battened column, he, is taken as 1.10 times the
actual slenderness ratio of the column to account for
(1) Axial deformation (2) Bending deformation
(3) Shear deformation (4) All of the above
26. The maximum design force for a rivet in the following bracket connection, if spacing
between adjacent rivets is 150 mm, is
1 C O ; ~
~ ( ~ otot scale)
27. The minimum thickness of a base plate, t, in case of slab base can be calculated by
the formula
(1) t,= 2,5w(b2-0.3a2)f /y
Y 'no
(3) t, = @ w (a2 - D3b 2 ) y, Ify (4) t, = 2.5~
(a2 - 0.3b2) f /y
Y 'no
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28. The top chord of a roof truss is inclined at an angle of 20°, no access is provided for
maintenance. The live load to be considered for the design will be
(1) Zero (2) 0.4 kN/m2
29. If a structure is under fatigue stresses, then the welded joints as compared to riveted
joints will fail
(1) Earlier (2) Later
(3) At the same time (4) Not at all
30. According to IS 800 : 2007, allowable vertical deflection for gantry girder with crane
load (electronically operated up to 50 tons) is
span span
(1) - (2) -
500 750
span span
(4) --
(3) 1OOO 300
31. The design bending strength of a laterally supported beam is given by
Md = (Pb.ZP.fy)b~,o,where Pb, Zp, f,, and y have their usual meaning. Pb for plastic
rno
and compact sections are given by
(1) 1.0, 0.8 (2) 0.8,l.O
(3) 1,Z$ZP (4) 1,l
32. The deep structural members subjected t o transverse loads are called
(1) Beams (2) Columns
(3) Plate girders (4) Trusses
33. The optimum thickness of web, t,, of a plate girder is given by
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34. In a singly reinforced balanced section, if M 30 concrete and Fe 415 steel is used,
then the value of neutral axis factor (ku,,) in L.S.M. is
-- --
35. The maximum area of tension steel in a beam shall not exceed
(3) 0.04 bD (4) 1.00 bD
--
36. Effective flange width of a continuous T-beam is
37. The maximum spacing of shear reinforcement measured along the axis of the
member shall not exceed for the vertical stirrups, where 'd' is the effective
depth of the section.
(3) 0.75 d (4) 0.65 d
38. Determine the minimum and maximum longitudinal reinforcement for a square
column of size 300 mm x 300 mm having a clear cover of 25 mm.
(1) 500 mm2 and 3750 mm2
(2) 500 mm2 and 5400 mm2
(3) 720 mm2 and 3750 mm2
(4) 720 mm2 and 5400 mm2
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39. Match the end conditions for restrained slab panels
a. S1 I. Four edges continuous
b. S2 11. One long edge continuous
c. S3 111. Two adjacent edges discontinuous
d. 54 N. Four edges discontinuous
V. One short edge continuous
Select the correct response.
40. For a simply supported beam of span 12 m, the basic value of span to effective depth
ratio is
41. Match the conditions under which the given type of footing is used :
a. Combined footing I. For two or more columns
b. Mat foundation 11. For isolated or group of columns
c. Pile foundation 111. For individual column
d. Isolated footing N. For supporting all columns of structure
Select the correct response.
a b c d
(1) I1 I11 N I
(2) 1 N I1 I11
(3) 11 1 111 N
(4) I1 N I 111 -
--
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42. The height of a retaining wall is 5.5 m. It is to be designed as
(1) Cantilever type (2) Counterfort type
(3) Cantilever or counterfort type (4) None of the above
43. A shear key is provided in a retaining wall to avoid
(1) Sliding (2) Overturning
(3) Buckling (4) Bending
44. The imposed floor load acting on staircase for residential and educational buildings
is to be considered as
(1) 2.0 kN/m2 and 3.0 kN/m2 (2) 3.0 kNlm2 and 2.0 irN/m2
(3) 4.0kN/m2 and 3.0kN/m2 (4) 3.0 kN/m2 and 4.0kNIm2
45. The extreme stress a t the top and bottom edges of a prestressed beam when tendons
are placed along the longitudinal axis of the beam are
46. A simply supported rectangular prestressed concrete beam is subjected to uniformly
distributed live load over its entire span, such that the resulting stress a t the
midspan a t bottom fiber is zero. The eccentricity a t that section is d/6 below the C.G.,
where d is the depth of'the beam. Location of the thrust line a t that section is
(1) At C.G. (2) d/6 above C.G.
(3) d/6 below C.G. (4) dl3 below C.G.
47. A 4.8 m long post-tensioned prestressed concrete beam is prestressed by a parabolic
cable with eccentricity of 15 mrn above C.G. a t both supports and 45 mm below C.G.
a t the midspan. The beam is tensioned from one end. In the estimation of maximum
loss due to friction, what should be the cumulative angle turned by the parabolic
profile ?
(1) 0.01 radians (2) 0.1 radians
(3) 0.15 radians (4) 0.02 radians
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48. In a pre-tensioned prestressed concrete cross-section,
Statement 1 :
The stress in wires is assumed to be zero a t the end supports and increases to its
final maximum value over its transmission length.
Statement 2 :
The bond stress between concrete and prestressed wires is maximum near the end
supports and decreases to nearly zero over its transmission length.
(1) Statements 1and 2 are true
(2) Statement 1is true and statement 2 is false
(3) Statement 1is false and statement 2 is true
(4) Statements 1and 2 are false
49. To avoid sudden collapse just after a shear crack, minimum shear reinforcement is
provided in prestressed concrete member in the form of stirrups. IS 1343 suggested
the relation as
50. What is the maximum possible eccentricity in a prestressed concrete beam of
circular cross-section ? Diameter of the section is d. Tension is not allowed anywhere
and any time in the cross-section. Neglect dead load (self-weight).
(1) dl8 (2) dl6
(3) dl4 (4) dl3
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51. What will be the maximum possible uniformly distributed load (inclusive of
self-weight) over the entire span of a simply supported beam of span 'L' such that the
deflection a t midspan at service condition is zero ? The cross-section is rectangular.
The prestressing force 'P' is applied with uniform eccentricity 'e'. Assume no losses.
52. The loss due to creep in prestressed concrete shall be determined considering
(1) All loads and prestressing force
(2) Live loads and prestressing force
(3) Permanent loads and prestressing force
(4) Permanent loads only
53. The limit state of collapse for prestressed concrete is
(1) Limit state of collapse : Deflection
(2) Limit state of collapse : Cracking
(3) Limit state of collapse : Maximum compression
(4) None of the above
54. The designed prestressed concrete element should satisfy the limits specified for
permissible stresses a t transfer stage as well as service condition. The prestressing
force 'P' and eccentricity 'e' evaluated from those limits are
(1) Maximum value of 'P' and maximum value of 'e'
(2) Maximum value of 'P' and minimum value of 'e'
(3) Minimum value of 'P' and maximum value of 'e'
(4) Minimum value of 'P' and minimum value of 'e'
55. During tensioning of prestressing tendons the breakage of wires in any one
prestressed concrete member shall not exceed
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56. Who is known as the Father of Scientific Management ?
(1) Robert Owen
(2) Elton Mayo
(3) F.W. Taylor
(4) Henry Fay01
57. ABC analysis is referred to as
(1) Always Better Control analysis
(2) Alphabetical Backup Control analysis
13) Analytical Boost Crane analysis
(4) None of the above
58. A scaled drawing of the proposed construction site showing all the relevant features
such as entry and exit points to the site, storage area for materials, toilets, workers
quarters, etc. is called
(1) Construction Plan
(2) Job Layout
(3) Development Plan
(4) Architectural Plan
59. The event or events that immediately come before another event without any
intervening events are called events to that event.
(1) Successor
(2) Dummy
(3) Predecessor
(4) Slack
60. Which rule is used for numbering the events in a network, scientifically ?
(1) Stevenson's rule
(2) Jackson's rule
(3) Fulkerson's rule
(4) Watson's rule
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61. The cost inflow a f r m receives if a machine still has value a t the time of its disposal
is known as
(1) Salvage value
(2) Purchase expenses
(3) Operating cost
(4) Ownership cost
62. Williams-Steiger Occupational Safety and Health Act (OSH Act) was passed in the
year
(1) 1968 (2) 1970
(3) 1974 (4) 1972
63. Coefficient of traction for a crawler tractor is upto
(1) 0.9 (2) 0.6
(3) 1.2 (4) 1.0
64. Which of the following is a "Class-An item in ABC analysis ?
(1) Items with low cost but large in number
(2) Items with average cost but moderate in number
(3) Items with high cost but few in number
(4) Items with high cost but large in number
65. Which of the following best defines "Negative Stock" ?
(1) Project ahead of schedule
(2) Project on schedule
(3) Project behind schedule
(4) None of the above
66. Quality circles in the construction industry can have the following participants :
(1) Engineers and architects
(2) Contractors and raw material suppliers
(3) Clients and consultants
(4) All of the above
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67. After solving the system
2x1 + 4x2 - 6xg = - 8,
xl + 3x2 + xg = 10, and
2x1 - 4x2 - 2x3 = - 12
using Gauss-Jordan method, the values of xl, xz and xg are
(1) (1, 2,3) (2) (1,3, 2)
(3) (3,2, 1) (4) (3, 1 , 2 )
68. The solution of the equations
by Gauss-Jordan method is
(1) - 1, - 2, 1, 2 (2) - 1, - 2, - 1 , 2
(3) - 1, 2, - 1, 2 (4) 1,2, - 1, - 2
69. To find the root of Ax) = 0 by using the bisection method, an iteration is begun with
the lower and upper guesses of the root. If xlowerand xUpperare the roots, then at the
end of the iteration, the absolute relative approximate error in the estimated value
of the root would be
X
upper Xlower
(1) (2)
X X
upper + Xlower upper + X~ower
X - X
upper X~ower upper X~ower
(3) (4)
+
X X -
upper + X~ower upper X~ower
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70. With initial approximation of xl = x2 = x3 = 0, what is the next value of xl in the
following set of simultaneous equations ?
71. Match the following :
a. Newton-Raphson I. flx) is a linear function of 'x'
method
b. Simpson's 1~3'~rule 11. The number of intervals must be even
c. Trapezoidal mle 111. Diagonal matrix
d. Gauss Elimination IV. Solution of algebraic and
transcendental equations
e. Gauss-Jordan method V. Forward elimination and
Backward substitution
Select the correct response.
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72. The procedure adopted in the Gauss-Jordan method in solving linear simultaneous
equations is
(1) It is required to assume initial approximate values of the variables.
(2) It reduces the given system of equations to a diagonal matrix
(3) It reduces the given system of equations to an equivalent triangular system.
(4) The given matrix is factored into lower and upper triangular matrices.
73. The solution by Gauss-Jordan method for the following equations
74. The Newton-Raphson method is said to have
(1) Linear convergence
(2) Superlinear convergence
(3) Quadratic convergence
(4) Oscillatory convergence
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75. Back substitution is required in the following method(s) in the solution of linear
simultaneous equations :
(1) Gauss-Elimination method
(2) Gauss-Jordan method
(3) Iterative method
(4) All of the above
76. The following data is given for the velocity of a body as a function of time. It is
required to find the velocity a t t = 21 sec. For the purpose a quadratic polynomial
v(t) = at2 + bt + c is to be used. The velocity profile is given as
t in sec 0 13 14 15 18 20 22 24
v(t) in mls 0 225 248.5 316.6 517.35 535.35 570 589.5
The correct set of equations that will find a, b and c is
77. During the determination of roots of equations x2 + 2xy = 6 and x2 - y2 = 3 using the
Newton-Raphson method, the value of Jacobian matrix 'D' is found to be
(1) - 4
(2) - 8
(3) - 12
(4) +4
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78. What is the minimum crushing strength of Granite used in India ?
(1) 200 ~ / r n m ~ (2) 100 N/mm2
(3) 50 ~ / m m " (4) 250 N/mm2
-
79. Which of the following is not a test for measuring the workability of concrete ?
(1) Slump Test (2) Flow Test
(3) Le Chatelier's Test (4) Compaction Factor Test
80. Which of the following is a field test for measuring the consistency of plastic
concrete ?
(1) Le Chatelier's Test (2) Compaction Factor Test
(3) Elongation Index Test (4) Kelly Ball Test
81. In which type of bond is cavity existing?
(1) Flemish bond (2) English bond
(3) Rat-trap bond (4) Stretcher bond
82. ' Which of the following is a method of mechanical ventilation ?
(1) Plenum System (2) Bleeding System
(3) Segregation System, (4) Natural Ventilation System
83. Gypsum is added to Portland cement during its manufacturing so that it may
(1) Accelerate the setting time
(2) Retard the setting time
(3) Decrease the burning temperature
(4) Facilitate grinding
84. Principles of planning for buildings include
a. Aspect and Prospect b. Roominess
c. Grouping d. Flexibility and Privacy
Answer options :
(1) a and b only (2) b and d only
(3) a and c only (4) a, b, c and d
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85. Timber can be made reasonably fire-resistant by
(1) Soaking it in Ammoniam Sulphate
(2) Coating it with Tar paint
(3) Pumping creosote oil into timber under high pressure
(4) Seasoning process
86. Which of the following is not a non-destructive test ?
(1) Rebound Hammer Test
(2) Surface Hardness Test
(3) Ultrasonic Pulse Velocity Test
(4) Soundness Test
87. Which is the major constituent of ordinary Portland cement ?
(1) CaO (2) MgO (3) SO3 (4) Fe203
88. Which is an example of cased cast-in-situ concrete pile ?
(1) Raymond pile (2) Watson pile
(3) Reynold pile (4) Boston pile
89. As per building bye-laws, for furing up the height of a building, which rule is
generally used ?
1 2
(1) 63-"Rule (2) 37-" Rule
2 3
(3) 6 5 1 " Rule (4) 45" Rule
2
90. The stress developed due to external force in an elastic material
(1) Depends on elastic constant
(2) Does not depend on elastic constant
(3) Depends partially on elastic constant
(4) Depends on limit of proportionality
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91. The Modulus of Elasticity in terms of Bulk Modulus and Modulus of Rigidity is
92. In case of biaxial stresses, the maximum value of shear stress is
(1) Difference of normal stresses
(2) Half the difference of normal stresses
(3) Sum of normal stresses
(4) Half the sum of normal stresses
93. If a solid circular shaft is simultaneously subjected to a torque 'T and a bending
moment 'M', the ratio of maximum bending stress and maximum torsional shearing
stress is given by
(1) MPT (2) T/M
(3) 2MPT (4) 2T/M
94. The slenderness ratio of a vertical column of square cross-section of 2.5 cm sides and
300 cm effective length, is
95. Columns of given length, cross-section and material have different values of buckling
loads for different end conditions. The strongest column is one whose
(1) one end is fixed and the other end is hinged
(2) both the ends are hinged or pin-jointed
(3) one end is fured and the other entirely free
(4) both the ends are fixed
96. A circular shaft was initially subjected to bending moment and then was subjected to
torsion. If the magnitude of bending moment is found to be the same as that of the
torque, then the ratio of maximum bending stress to shear stress would be
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97. A steel bar ABC of uniform cross-section 100 mm2 is suspended vertically and loaded
as shown in the figure. If the lower end of bar C does not move when loads are
applied (neglect self-weight), then the value of force P is (E, = 200 kN/mm2)
98. Principal stresses a t a point in a plane stressed element are ox = cry = 500 ~ / r n m ~ .
Normal stress on the plane inclined at 45' to the x-axis will be
(1) Zero (2) 500 ~ l r n m ~
99. The Euler's crippling load for a 2 m long slender steel rod of uniform cross-section
hinged at both the ends is 1kN. The Euler's crippling load for a 1 m long steel rod of
the same cross-section and hinged at both the ends will be
100. A solid shaft of diameter 'D' carries a twisting moment that develops maximum
shear stress. If the shaft is replaced by a hollow one of outside diameter 'D' and
'D'
inside diameter - , then the maximum shear stress will be
2
(1) 1.067 r (2) 1.143 r
(3) 1.33 r (4) 2 r
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