I.F.S. EY.AM-·2015 -f4q)..,.q DETACHABLE
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CIVIL ENGINEERING
Paper I


·

j Time Allowed Three Hours 1 Maximum Marks: 200 I

QUESTION PAPER SPECIFIC INSTRUCTIONS

-Please read each of the following instructions carefully before attempting questions.
There are :EIGHT questions in all, out of which FIVE are to be attempted.
Question No. 1 and 5 are compulsory. Out of the remaining SIX questions, THREE are to be

attempted selecting at least ONE question from each of the two Sections A and B.
Attempts of questions shall be counted in_ sequential order. Unless struck .off, attempt of a
question shall be counted even if attempted partly. Any page or portion oft..e_page left blank in the

· ·

Question-cum-Answer Booklet must be clearly struck off.


All questions carry equal marks. The number of marks carried by a question/part is indicated
agamst it.
Answers must be written in ENGLISH only.
Unless otherwise mentioned, symbols and notations have their usual standard meanings.
Assume suitable data, if necessary and indicate the same clearly.
Neat sketches may be drawn, -wherever required.




I ·


SECTION


nge

3m

D E

6kN

3kN.m.


B

8m ..

Sm

1


Find the support reactions at A and B of the structure shown in figure. The structure

· has an internal hinge at C. 4




..D





B


Aj





3





3









..

2


Draw the free body diagram for the spans AB, BC and CD and show the thrust acting
on the supports C and D. 4

2400 mm2

600 mm2 1200mm1

150kN


..p
600kN


.

kN.

A B C D

..1<--1000 mm 000 mm mm ..

A member ABCD is subjected to concentrated loads as shown.· Calculate

the force P necessary for equilibrium and
total elongation of the bar.
The value of Young's modulus of Elasticity is given as 2 x 105 N/mm2.


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i •








I

2

I



2

Three steel bars B and C having the same axial rigidity EA support a horizontal
rigid beam ABC as shown in figure. Determine the distance between bars
A and B in order that the rigid beam will remain horizontal when a load is
applied at its mid-point. The value of length is given within the parenthesis. 8


A slab base for a steel column of ISHB 3 50 consists · of steel plate
420 x 420 x 25 mm, supported on concrete pedestal made of M 20 grade concrete.
If the column is subjected to factored axial compressive load of 1600 kN, check
the adequacy of the slab base provided. Take the bearing strength of concrete as

9.5 MPa.
For ISHB 350 Flange width 250 mm
Yield strength 250 MPa
Yield strength of steel =· 250 MPa
Partial safety factor l · 1 8

mo

1.(
A post tensioned cable of beam 10 m long is initially tensioned to a stress of
1100 MP a. The tendons used are of 600 mm2 in cross-section and are curved so
that the slope is I in 24 at each end. Calculate the loss' of prestress due to friction
and slip. Use the following data
Coefficient of friction between duct and cable 0-55
Friction coefficient for wave effect 0·0015 per m
Slip at the Jacking end 3 mm
Modulus of Elasticity of cable wires 210 kN/mm2
. 8


A three hinged parabolic arch has a span of 24 m and rise of 6 m. It carries a
uniformly distributed load of 25 kN/m over its left half span and a concentrated
load of 140 k:N at 6 m from the right end. Calculate the bending moment, the
normal thrust and radial shear at a section at a distance of 5 m from the left end.

10

2.(b

A propped cantilever beam has·a uniform cross-section and span carries a single
concentr..ted load at a distance from the built-in-end. Find.the. collapse load
when the section subjected to a plastic moment MP. Also, find the increased

ratio of the load at collapse when the both ends are built-in.
·
15

3
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The internal diameter of a steel shaft is 65% of external diameter. The shaft is to
transmit 3600 KW at 210 r.p.m. If the maximum allowable stress in the shaft
material-is 50 N/mm2 calculate the diameter of the shaft. Find also the maximum
twist of the shaft when it is stressed to the maximum permissible value. The length
of the shaft is 3·8 m. Take· G 80 MPa. 15


Compare the bending strength of three beams one having a square cross-section,
a rectangular section (with depth is twice the width) and a circular cross..section;·
a11 the three beams having the same weight and having a. cross-sectional area of
95000 sq. mm. each. 1 0

. x·3.(b) .. K ..:

. . ... l12

250 ... 225

u



I





.

I


I

I
6,9




l1n



125






v

Detennine the moment of inertia of an ISMB 250 section as shown in figure about
the axes and Y Y are inclined· to an angle 30° the axis of symmetry. Calculate
also the product of inertia l-The dimensions are in mm. 10

xy


A laterally supported steel beam of effective span 5 m consists of ISLB 325.
The beam is subjected to maximum bending moment of 150 k:Nm and maximum
shear. force of 200 kN. Check the safety of the beam from the point of 'Bending

Strength'.

The Properties of ISLB 325

Depth of section
Width of flange
Thickness of flange
. Thickness of web
Radius at the root
Elastic section modulus
Plastic section m,odulus
Section classification
Yield strength
Partial safety factor Crmo)


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325 mm

165 mm



9·8 mm



7-0 mm



16 mm



607·70 X
103 mm3



687•76 X
1Q3 mm3


...

Plastic



250 MPa



l·l
10

4


· An RC column consists of crosssection
300 x 500 mm, is
subjected to a load of 1200 kN at
an eccentricity with respect to
the major axis of bending. If the
RC column has the load-moment
interaction curve as shown in
figure, determine the maximum
eccentricity with respect ·to the
major axis of bending at which the
load of 1200 kN can be applied
safely. The grade.. of concrete is
M25. 10

0·8

0·2

0·06 0·10


A gantry girder used for a span of 8 has the cross-section shown in figure. Check
the cross-section safety under the bending due to both vertical and lateral loads.
Steel used is of Fe 410 grade. The crane supported by the gantry is hand operated.
The lateral loads due to crane operation may be taken as of the maximum static
wheel load (MSW). Assume the cross-section of gantry is 'plastic' from the point
of section classification. Use the following data. Assume 10% impact due to

vertical moving loads.

Crane capacity
Self wt. of crane girder (Excluding trolley)
Self wt. of trolley
Minimum appr_oach of crane hook

Wheel base
Span of crane
Self wt. of rail section
Diameter of crane wheel
Self wt. of gantry girder

Properties of sections used

Property

• C/S Area
• Flange thickness
•· Web thickness
• Flange width
• Moment of Inertia (IJ
• radius root
• "
Cyy

Moment of Inertia

Unit

mm2

mm

mm
mm

mm4

nun

mm

mm4

5

200 kN



200 kN
40 kN
1·2 m




16 m



300 Nim
150 mm



2 kN/m

ISWB 600

1.703 8
21 ·3

11·2
250

1 0619 8 •5 X 04

17


4702•5 X 1Q4

1SWB 600

ISMC 300

4564

13·6

1·6

90
6362·6 x I Q4




23·6

0•8 X 1Q4

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Design a rectangular isolated footing of unifom1 thickness for an RC column
subjected to axial load of 700 kN. The cross-section of column is 300 x 500 mm.
The safe bearing capacity of soil is 150 kN/m2
. Use M 20 grade concrete and
Fe 415 grade steel. The allowable stress in steel is 230 MPa. Permissible bend
stress in concrete is 0·8 MPa. Use the following data. Sk..tch the detailing of
reinforcement.

Per cent of tension steel vs Permissible shear stress i"c)

0·5 0·75 l ·O l ·25 l ·5

Pr

0-30 0·35 0·39 0-42 0-45

Pennissible bending strength of concrete 7 MP a.
20

SECTION


What is meant by local and convective acceleration For a one-dimensional flow,
described by derive the expression for the convective acceleration in terms
of the velocity and its gradient. 8


A sluice-gate in a rectangular channel holds water at a depth of 1 m when the gate
opening is 5 cm. The coefficient ·of contraction, Cc, is 0-6. Find the force acting
on the gate per unit width. 8



V

T T


1·4 m 1·5 m

l l m

7 7 7 7 T7 7 7 7 7 7 7 7

..

very wide rectangular channel has a bed slope of 1 in I 0,000 and Manning's
Roughness, n 0·01. Due to an obstruction in the channel, the flow depth
increases, and the flow depths at two sections, 1300 m apart, were measured as 1 ·4
m and 1 ·5 rn, respectively, as shown. Using_ the step method, estimate the discharge
per· unit width of the channel. 8

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6



A soil profile consists of three layers with properties shown in the table below.
Initially there was 0·5 m of water above the surface of the soil. What will be the
time required for the water-level to drop .to the ground surface by draining vertical
dire..tion through the layers only

Layer No. Thickness kz (parallel, mis) kz (normal, mis)

1
3·0 2•0 X o-G 1 x 1
6

2
4·0 5·0 X 2·5 X



3
3·0 3-0 X lQ-S 1·5 X

8


A 4·0 m high smooth vertical wall retains dry cohesionless soil with unit weight,
.y 17·5 kN/m3 and angle of internal friction, rJ> 35° .· What is the approximate
thrust on the wall if the wall is prevented from yielding Assume backfill surface
is horizontal. · 8


Oil 900 kg!m3, µ 0·01 NS/m2) is being pumped through a 5 cm diameter
steel pipe (Roughness height 0·01 ·mm) at a rate of 7 x 10-4 m3/s. It is required
to reduce the head loss to half by replacing this pipe with a larger diameter steel
pipe. Find the diameter of the new pipe. 1 5


For a 2 m wide rectangular channel carrying a· certain discharge, the alternate'
depths, i.e., depths with same specific energy, are 0·5 m and 2·0 m. What would be
the conjugate depths, i.e., depths with same specific force, corresponding to these

·

two depths 1 5
6.( What are distorted models Give an example where distorted models are necessary
and explain why. 1 0


In a field· density test the following results were obtained Yb 19· l kN/m3, .
w 16%. The specific gravity of soil's solid 2-7. Determine dry density, void
ratio, air content, degree of saturation, moisture content at saturation and saturated
unit weight. 10

7..(b) The following data were obtained from a set of tiiaxial tests on three identical
. samples



Test No.
Confining pressure, Deviator stress,

0"3 ...

!}.cr1

1
30 57

2
60 79

3
90 92

Determine

the values of strength parameter C and ef>.

the orientation of the failure plane and the shear and normal stresses on the
failure plane for test 3. I 0
7




7
A layer of saturated clay 4 m thick having drainage from both top and bottom is
subjected to a loading that increases the average effective stress from 18_5 kPa to
310 kPa. Determine


the total primary consolidation settlement;

the settlement at the end of one ·year,

the time .in days for 75% o.. consolidation settlement to occur, and

the time in days for 25 mm of settlement to occur.
Given 0·00025 m2/kN, Cv 0·75 m2/yr. The following data may be used

v

0 15 25 35 40 45 50 60 70 75

0 0·018 0·049 0·096 0·126 0·160 0·196 0·286 0·403 0·477

Tv

10


A column footing of l ·8 m x 1 ·8 m is to be placed l ·5 m below the ground level
in a dense cohesionless soil. The unit weight of soil is 21 kN/m3 and angle of internal
fiiction, =·36° . The footing is to cany a total load of 1350 kN including column
load, weight of footing and weight of soil surcharge. Determine the factor of safety
against· bearing capacity failure as..uming

ground water level well below the base. of the footing, and

ground water level at the ground level.
Given for 36° Ne 63-53, 47·16 and N 51·7.

q r
(Assume Ybulk Ysaturated 21 kN/m3)



Write the formula for rotation of a fluid element ·about the z-axis in terms of the
velocity gradients in the Cartesian co-ordinate system. For a free vortex, although
the streamlines are circular, the flow is irrotational. Explain why. 10.


How are hydroelectric power plants classified based on the availability of h..ad
Which type of turbines are suitable for each of these plants Explajil..the working
of a pumped-storage plant and list its advantages. 1 0 ·

8.(c).
A concrete pile is to be driven into a medium dense to dense sand with ·
y 20·5 k.N/m3 38° and K 0-95. Diameter of the pile is 300 mm and its
embedded length is 15 m. The growid water table is located 3 m belo'Y the ground .

surface. Determine the capacity of the pile with a FS .. 2_·0. Assume 100 for

10

Briefly explain the useof plasticity ·chart in classifying fine grained soil.

.


What are .the differences between compaction _and consolidation What are
the objectives of compaction .10
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8