IAS Mains Civil Engineering 2013

8/10/2019 IAS Mains Civil Engineering 2013

1/21

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3/21

2. a)

2.(b)

2

.(c)(i)

2.

(c )( ii)

3. a)

w

p

c

~

~ ffii

r

~

~ q ; g : f u ~

~

1Jffi

31-- W (FBD) mm

I B

BC

C

31-'tt

D ~

cf

i ~

~

m m CfiT

~ 1W

m 1 t

{ CfiT

~ \ ' f r u l ~ ~

1

10

Draw free b

ody diagram

(FBD)

of

the

whole system as shown in the figure .

Neglec

ting self-weigh

tof its parts

A

B BC

C and

D

draw FBDs

of individual p

arts

also . The w

heel at is frictionless.

10

~ ~ m ~

~ ~ ~ ~ C I I

( 1 f k t d

mf

< f t

1 1 C h R ~ ~

~ ~ ~ C 8 8

~ t f K

~ ~

if l R CfiT qm

wm : Cl'4T

~ a n W

~ I

15

For the

semicircular

simply supp

orted

m

embe r shown

in the figure, fin

dthe value

of

bend

in g moment as

afunction of

8 and

also draw its b

ending momen

tdiagram .

15

cfiT

~ ~ 2 m 3fR 4 m e

f t ~

tR ~ ~ ~ T : 2 m/s

attt 3

m/s -.rr

q.

.-

N I ~ C

l i r q f ( C h ( 1

1 ~ I ~ ~

4 a

f R ~ F P I R i C h

~ ~ i l ) 0145

centi stok

e +

rR I cfi

? " 8 m cfi

~ = q

I

~ ~ fcRAr

~

?

a

r ~ c f i r ~

C l i r ~ ~ 1

15

The win

dvelocities we

re measured ab

ove a smooth p

lane ground su

rface at 2

m

an

d4 m

height

s as 2 and 23

m /s respective

ly. Compute t

he shear veloc

ity. Assume K

arman s

constant as 0

40 and kinemat

ic viscosity

of air as 0145 ce

nti stoke. What

is the velocity

at

8 m above

t he ground su r

face ? Calcula

te the probable

l aminar sublay

er thickness.

15

~ ~ ~ ? 1 ~

1 1 ~ ~ c r 3 f T C

f f u ~ ~ G I T - 9

C l i r a R R ~ ~

1 1 0 0 k m /

h r ~ ~ '

2mam:r

~ 3 0

m ~ ~ ~ 3ff C1RtR

C8

1 C8 1

'1

12

4

kg/m

3

3fR

~ 4 < 1

1 R t C h ~ ~

0

centis

to ke B-1

1

Distinguis

h between sur

face and form

drags due

to

a

fluid flow. Es

timate the ben

ding

m

oment at the b

ase of a 30 m

smoke stack 2

m in diameter

during a 100

km p er hour

wind. Assum

e the mass den

sity of the air

as 124

kg/m

3

and the kinem

atic viscosity a

s

015

c enti stoke.

1

:R

I

I

I

p

3

~ t p r c ~ m

i r ~ , ~

R a m : ~

w ~

m

l .. sz ~

GfR

P

I

DU

m


4/21

3.(

b)

1 2

0 0 m

~ ~ ~

~ 0

9 0 m

s ~

a f f

i : r

c r ~

t R 2

8 3 0

m

1

1:8

00

: J ? e

c r f m 1:

40

~ C

f i T

~ ~ f

~ \ i

f F I

T 5

4 ~ r

f 4 a

1

~ m

: r

~

~

~ ~

n

0

025

~ o

l

~ l

f R

~ f

i f

~

~ ~

? ~

~ f c

n c t

< I T

~ f ~

~ f c

r ~

~ ?

f d c n

1

1 cen

tis t

oke i

f I

1 0

A

shallo

w r

iver

has

a wi

dth

of 12

00 m

an

d co

nvey

s a

disch

arge

of

2

830

m

3

/s

at a

m e

an ve

locit

y of 0

90

m/s.

It is

propo

sed

to co

nstru

ct a r

iver

m o d e

l to a

hor

izont

al

scal

e

of

1

: 80

0 an

d a v

ertic a

l sca

le

of

1

: 4

0. f

M ann

ing 's

n fo

r th e

r iver

bed

mate

rial

is

00

25, w

hat

shou

ld b e

its v

alue

in

th e

model?

Verify w heth er th eflow in the m odel is

t

urbu

lent.

Assu

m e k

inem

atic v

iscos

ity as

11

centi

stoke

.

I 0

3

.(c)(i

)

90

0 mm

J i f C l l

z y m

r ~

~

15 m

3

/s

CfiT

Hffi C

OI

~

~ I

~ c

f i

r ~

10

mm

a

i R

~ ~

~ C

f

i T

~ ~

2 0

x

N m ~

i T 3 f

: r r r i

C f l 2 1

0 9

x 10

8

N

/m

2

~

~

c f i

t ~

3

5 k

m

a

T R ~ 3

f < O

~ c m q

- < 1

l l T ~

I

I(i

) c m

q

;:

s,{SlR::tl

cfiT

3Na

n

;:k

{SlRii if>

~

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it

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31f't Cf

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~

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13/21

b)

W

hat are

th

e advan

tages

of H

ydrau

lic E

xcava

tors o

ver othe

r types

of

excava

tors ?

Unde

r

w

hat c

ondi t i

ons

sho

uld

a

H

OE be

p

referr

ed

over

a

fron

t

s

hovel

? Dr

aw a s

chema

tic

sket

ch

illu

st ratin

gva

rious p

arts

of a

ty

pical HO

E List th

e facto

rsaffe

c t ing

the eco

nomic

a lc ho

ic e

of

a

HO E .

2

(a

) k

ct

cfiT

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31Mcf)

crq i (f

':lll '1)

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~ - c f i

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~

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~

~ c f w q 1

( f ' : l

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fcr

fq

CflT

~

m rn

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C

b)

-q 3 1 f q

f B ~ ~ ~

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l c t i

*

- B -

~ fT;:r

c

n l

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c)

W TUT

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IAS Mains Civil Engineering 2013

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Transcript of IAS Mains Civil Engineering 2013