EIJ-49854-A 1 [Turn over
ROUGH WORK

1.
2.

3.

4.

5.

6.

7.


The free-body diagram of a satellite rotating about the earth will show the satellite isolated from its surroundings and

no force acting on it


its velocity shown on it


the force of gravity and centrifugal force acting on it


the force of gravity, centrifugal force and its velocity

The time taken by a small frictionless bead to slide on a thin wire in the gravitational field is the minimum if the shape of the wire is


A straight line A cycloid


An involute Aparabola


Stability of equilibrium of a body requires that
dPE dPE d2PE
0 and 0
ds ds ds2
d PE d2 PE

0 and 2 0 None of the above ds ds

A rigid body, in translation


Must undergo plane motion only


Cannot move on a circular path


May move along a straight or curved path


Can only move in a straight line


The first moment of triangular area of base "b" and height "h" taken about an axis coincident with the base is given by
b2h
bh
3
12
6
bh2 h3
6
The second moment of a plane area about any axis as compared to its second moment about the neutral axis

is always more is always less


is sometimes more is equal

The coefficient of restitution is defined on the basis of


Velocity components along the line of impact only


Velocity component normal to the line of impact


The velocity direction before and after the collision


None of the above


8. The acceleration of a particle is given by a t3 3t2 5 m/s2 where the time "t" is in seconds. If the Velocity of the particle at t 1 second is 6.25 m/s and displacement is 8.8m, the Velocity and displacement at t 2 seconds is

8 m/sec, 16.1m 8.5 m/sec, 16.5m


9 m/sec, 16.1m 16.4 m/sec, 8m


9. The D'Alembert principle

is hypothetical principle


provides no special advantage over Newton's Law


is based upon the existence of inertia forces


allows a dynamic problem to be treated as a statical problem


10. The Coriolis acceleration may not vanish

if the relative velocity of the moving point becomes zero


if the rotational velocity of the moving frame becomes zero


if the rotational velocity of the moving frame and relative velocity become collinear


if the angular acceleration of the point becomes zero


11. The ratio of effective length of compression member of steel to the approximate radius of gyration shall not exceed

400 350


300 250


12. Beam fixed at one end, supported at the other with uniform load as shown, then max deflection is given by
W
WL4 WL2
. .
EI EI
WL3 WL4
. .
EI EI
13. Poisson's Ratio is a constant upto elastic limit. It is in the range of for steel.

1 to
1
1 to

43 54
1 1 to
to1
53 65
14. A beam of square cross section is used as a beam with one diagonal horizontal. The location of the maximum shear stress from the neutral axis will be at a distance of
B

Zero 4

0.25B

82
EIJ-49854-A 4
15. The maximum stress produced in a bar of tapering section under direct tension is at

larger end smaller end


middle anywhere


16. If a composite bar is cooled, then the nature of stress in the part with high coefficient of thermal expansion will be

Tensile Zero


Compressive None of these


17. When a cantilever is loaded at its free end by a downward load, maximum compressive stress
shall develop at bottom fiber neutral axis top fiber centre of gravity
18. The stability of a dam is checked for tension at the base sliding of the dam over turning of the dam All of these
19. The effective thickness of a fillet weld is
2 S 1.66 S
1.428 S 1.25 S
where S is size of weld.

20. When a closely coiled spring is subjected to an axial load, it is said to be under

Bending only Shear only


Torsion and shear None of these


21. Polar moment of inertia of a solid shaft of diameter "D" is D3 D2
p p

16 16
D2 D4

p p

36 32
22. When a solid shaft is subjected to torsion, the shear stress induced in the shaft at its centre is

Zero Minimum


Maximum Average


23. Stiffness factor of a beam fixed at one end and simply supported at the other end for rotation at
simply supported end is
3EI
4EI



LL
6EI 8EI


L L
24. Two simply supported beams of the same span carry the same total load. If the first beam carries the total load as a point load at its centre and the other uniformly distributed over the whole span, then the ratio of maximum slopes of first beam to the second will be

1 1 1 1.5


1.5 1 2 1


25. The end rotation for the given beam is

0.25 0.25
EI EI
ML3 ML
0.25 0.35
EI EI
26. The total strain energy of truss element is 500 joules and it carries an axial force of 100 KN. The extension of the member is

1 mm 2 mm


5 mm 10 mm


27. Castigliano's theorem falls under the category of

Displacement method Equilibrium method


Force method Stiffness method


28. A rod is stressed to 50 KN/mm2 in tension. The E for the rod is 200 KN/mm2. The strain energy per cubic meter will be

6.25×109 5.0×109


2.5×109 1.25×109


29. The rotation of the free end of a cantilever beam due to a 5 kN load is 0.001 rad. Then the deflection of the free end due to a moment of 120 kN-m is

1.2 mm 2.4 mm


3.6 mm 4.8 mm


30. The fixed end moment MFAB for the beam shown in the Fig below is


192 48
11WL WL2

48 48
31. Moment distribution method is best suited for

Indeterminate pin jointed truss Rigid frames


Space frames Trussed beam


32. The carry-over factor for a prismatic beam element with far end fixed is

1 0.5


0.33 0.25


33. The column analogy method is applicable for the indeterminate structure having maximum redundancy equal to

3 No limitation
34. The number of unknowns to be determined in the stiffness method is equal to

Static indeterminancy Kinematic indeterminancy


Sum of static and kinematic indeterminancy None of the above


35. Which of the following sections will have maximum shape factor

Square Circular


Diamond Triangle


36. The shape of influence line diagram for the bending moment at mid span in a simply supported beam is

Rectangular Triangular


Parabolic Circular


37. The Muller-Breslau principle for influence line is applicable to

Simple beam Continuous beam


Redundant truss All of the above


38. The variation of influence line for vertical support reaction of a statically determinate beam is

Linear Parabolic


Circular None of the above


39. The area of the influence line diagram for the reaction at the hinged end of a uniform propped cantilever beam of span "L" is
L
3L



2 8
L
L



4 8
40. The total area of the influence line diagram for shear force at mid span in a simply supported beam
of span L is
L2



Zero
8
L
2 L



2 2
41. A two-hinged parabolic arch is subjected to a temperature rise of t0 then the horizontal thrust at the support will

increase decrease


remain same increase or decrease


42. The line of thrust in a Parabolic arch is

Funnicular Polygon Parabolic


Triangular Circular


43. The simply supported bending moment at the central hinge of a three hinged arch is 36 kNm. The span and rise at the hinge are 12 m and 3 m respectively. The horizontal thrust in the arch is

3 kN 6 kN


9 kN 12 kN


44. In approximate analysis of building frames under lateral loads, the point of inflection in beams and columns is assumed at

Span 2 Span 3


Span /10 Span 20


45. The effective slenderness ratio of a cantilever column of length L

0.5 L/r L/r


2 L/r 2 L/r
Where, r radius of gyration.



46. A 40 cm diameter circular timber column is 4 m long (effective). The slenderness ratio of the column is
10 20
20
2
EIJ-49854-A 8
47. A soil sample (sp. gr 2.7) has a degree of saturation of 40 at water content of 20%. The void ratio of the sample is

1.35 0.03


5.4 None of these


48. Sieving is not carried out for grain sizes smaller than about

0.75 mm 0.075 mm


0.150 mm 0.20 mm


49. If sand is in its densest state, its relative density is

Zero 1


Less than 1 Greater than 1


50. The ratio of the shear strength of undisturbed soil to that of remoulded soil is known as the

liquidity index


relative consistency


51. Talus is a soil transported by

Wind


Glaciers


52. Darcy's Law is applicable if a soil is

incompressible


isotropic


53. The hydrostatic pressure on a phreatic line equals

Atmospheric


Greater than Atmospheric


54. Liquefaction can be prevented by

providing filters


increasing the seepage length of the flow


lowering the water table


All of these



activity index


sensitivity


Water


Glacial tills


homogeneous


All of these


Less than Atmospheric


None of these


55. The horizontal Geostatic stress at a depth of 4m in a uniform deposit of soil having Kb .5 and .b 16.5 kN/m3 is

16.0 kN/m2 22.0 kN/m2


33.0 kN/m2 66.0 kN/m2
where Kb is Boussinesq's influence factor.



56. The shear stress below a point load of 2 tons at a depth 4m in a soil mass is

Zero 2 t/m2


1t/m2 None of these


57. If the coefficient of volume change and the coefficient of permeability of a soil mass are 2.91×10-4 m2/kN and 3.4×10-5 m/sec then the coefficient of consolidation will be

11.91×10-3 m2/sec 3.62×10-3 m2/sec


9.82×10-4 m2/sec 9.89×10-9 m2/sec


58. If instead of single drainage, the number of drainage faces are increased to two, the rate of compression will be

4 times slower 2 times slower


4 times faster None of the above


59. After the complete consolidation of a soil mass, the effective stress becomes equal to

the pore water pressure the neutral stress


Both of these None of these


60. Sheep foot roller is ideally suited for the compaction of

cohesive soils cohensionless soils


both types of soils None of these


61. An unconfined compression test is good for

Granular soils Saturated cohesive soils


Both granular and cohesive soils None of these


62. A deviatoric stress is given by
s s
1 3 13
s

2
63. The maximum pressure intensity which a soil can carry without shear failure is known as its

safe bearing capacity ultimate bearing capacity


net safe bearing capacity net ultimate bearing capacity


64. The bearing capacity factor for local shear failure, are determined with respect to

average c and f parameters increased c and reduced f parameters


decreased c and increased f parameters reduced c and f parameters


65. The viscosity of the grout pumped into weak soil depends directly on the

specific gravity of the soil shear strength of the soil


permeability of the soil degree of saturation of the soil


66. In a plate load test, the ultimate load is estimated from the load-settlement curve on a log-log graph

Directly


By drawing tangents to the curve at the initial and final points


By the secant method


Simply at 0.2% of the maximum settlement


67. Pile foundations are provided to carry loads compact a loose cohesionless deposit resist horizontal and uplift forces All of these
68. The efficiency of pile group depends on soil type pile spacing method of pile installation All of these
69. The method of slices was first suggested by Taylor Fellineous Bishop Terzaghi
70. 2c cot a A slope is considered infinite when its length in the third dimension is infinite the slant height is very large the base of embankment is very long All of these

71. To have zero active pressure intensity at the top of a wall in cohesive soil, one can apply a uniform surcharge of intensity

2c tan a


2c cot a 2c tan a


72. An unsupported vertical cut may be made in cohesive soil to a height of 2c
.
. .
.
tan 45
2qu tan 45

.2 . .2 .
. .
. . .
.
4c
. .
4qu tan . 45
. tan 45

. .. 2 .. . .. 2 ..
73. The pressure diagram below the dredge line of an anchored sheet-pile wall embedded in cohesionless soil is

rectangular triangular


triangular then rectangular parabolic


74. Dynamic Magnification factor is the ratio of

static force to dynamic force dynamic force to static deflection


dynamic deflection to static deflection dynamic force to static force


75. The Westergaard equations are used for analysis of

clayey soils sedimentary soils


black cotton soils cohesionless soils


76. Under reamed piles are normally

Precast piles Bored piles


Driven piles Sunken piles


77. A lubricant 100 times more viscous than water would have a viscosity (in
0.01 0.1
(D)10
78. Kinematic Viscosity and specific gravity of a certain liquid are 5.58 stokes and 2 respectively. The viscosity of liquid in S.I. unit are

1.116 Ns/m2 1.315 Ns/m2


1.489 Ns/m2 1.652 Ns/m2


79. In the laminar boundary layer flow over a flat plate, the ratio varies as
Re
Re


1/Re Re-½ where d is the boundary layer thickness and X is the distance from the leading edge in the direction of flow.


80. The turbulence in which the products and squares of the velocity component and their derivatives
are independent of direction is called isotropic anisotropic potential laminar
81. The laminar boundary layer thickness varies as x1/7 x1/2 x6/7
82. For psedoplastic fluid, flow consistency index is 1 1 1 8

83. If the fluid entering the pipe is turbulent and the velocity in the tube is above critical the transition length is

40 to 50 times the pipe diameter 10 to 30 times the entering velocity


20 to 30 times the pipe diameter None of the above


84. If the pressure on the surface of an oil (s.g 0.8) tank is 0.1 kg/cm2, the pressure head at a depth of 2.5 m is

1 m of water 2 m of water


3 m of water 3.5 m of water


85. A vertical rectangular plane surface is submerged in water such that its top and bottom surfaces are
1.5 m and 6.0 m respectively below the free surface. The centre of pressure below the free surface will be at a depth of

3.75 m 4.0 m


4.2 m 4.5 m


86. A jet strikes a stationary plate normally with a velocity of 8 m/s and the plate suffers a force of 120 N. The power obtained, in kW is

0.96 9.4


Zero 958


87. Which of the following is a dimensionless number

Manning's coefficient "n" Pipe friction factor "f "


Chez's coefficient "C" Hazen-William coefficient CH


88. The momentum correction factor "ß" for laminar flow through a circular pipe is

1.5 2.0


1.67 1.33


89. The continuity equation is based upon the principle of

Conservation of energy Conservation of momentum


Conservation of mass None of these


90. For a hydraulically efficient rectangular channel of bed width 4.0 the depth of flow is

4.0 m 8.0 m


1.0 m 2.0 m


91. For an error of 10% in the measurement of head over a broad crested weir, the error in discharge will be

10 5


15 25


92. The flow will be in supercritical state in the following profiles
S and S and M
331 213
S and S and S
233 123
93. In a Sutro weir, discharge is proportional to

H1/2 H


H3/2 H5/2


94. A pump is required to deliver 150 L/s at a head of 45 m when running at 1750 r.p.m. The specific speed of the pump is

17.4 39.0


89.0 1233.0


95. Water is pumped through a pipeline to a height of 10 m at the rate of 0.1 m3/s frictional and other minor losses are 5 meter. Pumping power required, in kW is

14.70 9.80


20.0 13.3


96. Theory of probability is applied to

accidental error only conditional error


both accidental and cumulative residual error


97. The shrinkage factor of an old map is 24/25 and R.F is 1/2400 then the corrected scale for the map is

1/2400 1/2500


1/600 1/60000


98. If the length of a chain line along a slope of "a" is "l" the required slope correction is

2l cot2 a/2 (B)2l sin2 a/2


l tan2 a/2 l cos2 a/2


99. Which of the following is the most precise instrument for measuring horizontal distances

Metallic Tape Steel Tape


Tacheometer Tellurometer


100. The whole circle bearing of a line, whose quadrantal bearing is S19o E is

19o 199o


160o None of the above


101. The value of dip at the magnetic pole is

0o 45o


90o None of these



102. The difference between face left and face right observations of a theodolite is the error is







103. The closing error can be balanced by

Bowditch rule Transit rule


Working accurately latitudes Either or as applicable


104. If "N" is the number of stations and the least count of the instrument is then the limit on the angular error of closure in traversing should not be

20 N 20 N

20 20
N


105. What will be the correction for curvature for a distance of 1000 m

.0673 m .0785 m


.0568 m None of these


106. The reading on a 4.0 m staff at a point is observed as 2.895 m. If the staff was 8 cm out of the plumb line, the correct reading should have been

2.8800 m 2.8937 m


2.8600 m 2.9937 m


107. If the degree of a curve is 1o and if chain length is 30 then the radius of the curve is equal to 5400 m 1720 m
1720 5400
m m
p p
108. The long chord and tangent length of a circular curve of radius R will be equal if the angle of deflection is

30o 60o


150o 120o


109. If the radius of a circular curve is five times the length of a transition curve then the spiral angle is given by

1/5 rad 1/10 rad


1/20 rad 1/40 rad


110. The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to then

P R Q R


P Q None of the above is correct


111. The mass moment of inertia of a rectangular plate of mass M and sides a and b about an axis perpendicular to plate through its centre is
M(a2 b2) M(a2 b2)
34
M . a2 b2 .
2 2 .
M .
..
4
12 . 12 .
112. Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis

disc with larger density disc with smaller density


both discs will have same rotational inertia None of the above


113. For a body subjected to hydrostatic static state of stress, the shear stress on a plane inclined at an angle of 45o with the horizontal will be

maximum minimum


zero 50% of hydrostatic pressure


114. For the flow to be definitely laminar in a pipe, the value of Reynold's number should be

2000 2500


5000 5000


115. For critical flow in a rectangular channel for a discharge per unit length of 25 cumec, the critical depth will be

2.1 m 1.5 m


4 m 2.75 m


116. The intensity of pressure developed by surface tension of 0.0075 Kg/m in a droplet of water of 0.075 mm diameter is

0.08 Kg/cm2 0.06 Kg/cm2


0.04 Kg/cm2 40 Kg/cm2


117. If there are n pipes of same diameter d laid in parallel in place of a single pipe of diameter then
Dd
d D
2/5 2/5
nn
DD

d d
2/3 1/5
nn
118. If Fr is the Froude number for a flow in a triangular channel, then the Froude number for same velocity and same
depth of flow in rectangular channel will be
Fr
2Fr

Fr Fr






2
3
119. Shape factor is a property which depends
only on the ultimate stress of the material only on the yield stress of the material
both on yield and ultimate stress of material only on the geometry of the section
120. The rigid-jointed plane frame shown in figure will
sway to left

sway to right
not sway at all
may sway to left or right
depending upon the magnitude of Udl
EI Const.


ROUGH WORK

ROUGH WORK