7/24/2019 1st Midterm (1)

1/9

Uni. Roll No:-........

GLA University,

Mathura

.

Course: -B.Tech.

(Civil)

II-Year,I-Mid-Term

(Odd

Sem.)

Examination,2013-14

Qubject:

-

CEE-212:

Mechanics of

Fluids

Time:-90

Minutes

M.M:-20

Notes:-

l.

All

questions

of

any particular

section should

be

answered

collectively

at

one

place.

All

parts

of

a

question

(a,

b,

etc.)

should

be

answered at

one

place.

2. Answers

should

be

written neatly and

they

should

be brief as

well as

complete

and

to-the-

point

and be

supplemented

with

neat

sketches.

3.

Any

missing

or wrong data

may

be

assumed

suitably

giving

proper

justification.

4.

Numbers

on the

right-hand

side

margin indicate marks.

5.

Mass

density

of

water

= 1000

kg/*'and

acceleration

due to

gravity

=

9.8

m/s2.

Section -

A

Q.

I Define

and/or explain

the

following

terms

(anylIBED:

(3)

(a)

Fluid

(b)

Viscosity

(c)

Metacentre(d)

Continuum(e)

Circulation

Q.2

Write down

the dimensions

and units

of

any

TWO

of

the

following:

(l)

(a)pressure(b)vorticity(c)bulkmodulusofe|asticity(d)kinematicviscosity

Section

-

B

Answer

any

THREE

of

the

following

questions each

of which

is

of

2

marks:

Q.3

Starting

fromgg=-y

-

-

pg

,

obtainthe expression

for

the

pressure

difference

between

two

points,

in

an incompressible

fluid

of mass

density p,

one of

which

(i.e.,

point

1)

is

h

above

the other

(i.e.,

point

2).

Q.4

If the

velocity

potential,

Q

=

4xy,

determine the

stream

furiction

y.

(2)

(2)

Q.5

Check

whether

the

fluid flow

represented

by

Q

=

xz

-

yz

+y

is

irrotational

or

rotational?

e)

Q.6

Calculate

the approximate

depression

of

mercury

(o

=

0.51 N/m;

specific weight

of

mercury

is

I

33.0

kN/m3;

angle

of

contact

=

I 300) at

20oC in

a

capillary

glass

tube

of

radius

1.4 mm.

(2)

(l)

Contd.......

P.2

7/24/2019 1st Midterm (1)

2/9

Section

-

C

Q.7

A

rectangular

plate

of

0.2

m

x

0.2

m

dimensions

weighing

800

N

slides

down

a

plane

inclined

at

an

angle

of

25o

with

the

horizontal.

The

velocity

of

the

plate

is 1'75

m/s

and

the

space

between

the

plate

and

plane is

2

mm.

The

space

is

filled

with

oil'

Find

the

viscosity

of

the

oil.

(2'5)

Q.l0

The

liquids

at

A

and

B

are

water

and

the

manometer

liquid

is

an

oil

of

specific

gravity =

0.8.

Determine

pe-pn(in

pascals)

when

hr

=

300

mm,

h2

=200

mm,

and

hl

=

500

mm''

If

ps

is 5

kPa

and

the

barometer

reading

is

730

mm

of

Hg,

determine

the

absolute

pressure

at A.

(2'5)

Q.8

A

vertical

gate

4mx4m

holds

water

with

free

surface

at

its

top.

about

the

bottom

of

the

gate.

Q.9

Obtain

differential

form

of

continuity

equation

for

fluids.

cnL

NfiTEg

66

Q.11

Define

or

explain

the

meaning

of

(i) sink,

(ii)

Source'

(iii)

stream

tube,

potential,

and

(v)

stream

function'

Q.12

The

velocity

components

for

a wvo-dimensional

flow

are

u:x

-4y

and

,=-y-4x

Do

the

velocity

components

represent

incompressible

function

Yfor

the

flow.

Determine

the

moment

(2.5)

(2.s)

(iv) velocity

(2,5)

flow?

If

Yes,

determine

the

stream

(2.s)

(2)

7/24/2019 1st Midterm (1)

3/9

GIA

University,

Mathura

course:-

B.Tech

Mid Term

Examlnation

,l

subject:-

Eng.Geology

&

civil Eng.

Materlal

(CEE213)

Timer9O

Minutes

Notes:-

.

Uni. RollNo..

1.

Any

missing

data

may

be

assumed

suitably

giving

proper

justification.

2.

Figure

on

right

hand

side

margin

indicates

marks.

Section

-

A

(

Attempt

any four questions

)

O4xt.e

=

94

(a)

What

is

meant

by

juvenile

water.

, (b)

Define

the term stratification

of

rocks.

(c

)

Name

some

rock

forming

minerals

(d)

Distinguish

between

Outlier

&

Inliers.

{e)

What

is

meant

by

plane

of Unconformity.

(f)

Distinguish

between

Aquifer

& Aquiclude.

Section

-

B

(Attempt

any

three

questions|

03x2.0

=

06

(a)

Explain

the

Elastic

Rebound

Theory.

(b)

What

are

landslide

&

its

classification?

(c)

What is

meant

by

earthquake

&

describe

earthquake

hazardous

zones

of

lndia.

(d)

What

are

minerals

&

classify

their

groups.

Section

-

C

(Attempt

any

two

questions)

02x5.0

=

10

1'

what

is

Metamorphism

&

describe

variods

types

of

textures

& structure

evolved

due

to

metamorphic

processes.

2.

Describe

folding

with

the

help

of its

parts

&

classify

foldson

the

basis

of

position

of

axial

plane,

3.

Define

the

term

fault

& classifo

faults

on

the different

basis.

7/24/2019 1st Midterm (1)

4/9

Universlty

Roll

No:

.

GLA

University,

Mathura

course:

B.Tech.,

yeai:

ilnd,

Ft

Mid

Term

Examination(odd

semester)

zalf._r4

Tlme:90

Mtnutes

subject:

surveying

(cEE

214)

Notesi

Maxlmum

Marks:20

1.

2.

3.

4.

ll.:^:::,::,:f,rfl:I.1l1r.sear.on.shoutd

be answered

coilectivety

at

one

ptace.

*3-..f

"',3:j1j1l

lll.-ooint

and

wherever

required,

b;;;il;,;;;;,i;;;sketch.

Any

missing

data

may

be

assumed

suitably giuing

prof;eril,;;;;;;.

on

the

hand

side

indicate

marks.

1.

Briefry

exprain

prane

survey,nr.t"oion

A

(Attempt

any

three)

2.

Briefly

explain

Geodetic

Surveying.

3.

Define

Systematic

error

and

give

example

.

Briefly

explain

Natural

Sources

of

error

by

giving

examples.

5.

Briefly explain

R.F.

giving

example.

'

Line

F.B.

B.B.

.l

Un.

AB

38o30,

2lgol1,

|

,O

BC

100"30,

ZZy"3O,

|

,t

Find

the

corrected

fore

and

back

bearings

of

each

line.

,-.T:::","t"s

found

to

be

exacty

za

m. Auhe

end

of

'

survey'

it

was

tested

again

and

was

found

to

be

20.L2

m,

Areaof

the

plan

or

trre

rieto

drawn

(21

to

a

scale

of

Lcm

=

6m

was

50.4

cmz.Findthe

true

ar"a

of

the field

in

mz.

OR

B

and

c

are

two points

on

the

opposite

side

banks

of

a

river

along

a chain

line

.Agc

which

crosses

the

river

at

right

angles

of

the

bank.

From

a

point

p

which

is

100

m

from

the.

the

bank,

bearing

of

A

is

lZ7og7,SZ,

and

the

bearing.Of

C is

262o37,571.

tf

the

,*r.f

jjXH

el

ls200

m,find

the

width

of

the

river.

7'

The

length

of

an

ofhet

ls 18

m. The maximum

error in

its

length

is

6,s

cmand

scale

used

is

tcm

=

25

m' what

ls

the

maximum

permissible

error

in

laying

of

the

direction

of

the

offset (2,t

so

that

the

maximurn

displacement

does

not

exceed

0.5

mm.

8'

The

following

fore.and

back

bearings

were

observed

in

traversing

with

a

compass

in

place

where

local

attraction

*tt

trtp"at"d.

-'-'-"'b

r''r'r

q

LwrrrPcr)>

It

(1)

(1)

(1)

(1)

(1)

F.B.

2545'

325t5'

B.B.

ZOZolS,

(2)

145015',

9.

Three

ships

A,

B

andc

strted

,.iring

frofTt;:i""..

at the

same

time

in

three

drrections.

The

speed

of

all

the

ships

was

same

i.e.

s}km/hr.

Their

bearings

were

measured

to

be

N28"28'

E,

sr"3z'

E

and.

ssgzg'.

After

an

hour,

the

captain

of

ship

g

determined

the

bearings

of

the

other

ships

w.

r.

t.

his

own

ship.

Afterthat

he

found

out

the

distances.

what

was

the

bearings

(in

both

systems)

and

distances?

ln

an

anticlockwise

traveyye-. .ce,

alr

the ,lol,

*.r"

"qu.t.

tut.gnetic

fore

bearing

of the

side

8C

was

obtained

as

32o28'.

The

bearing

of

the

sun

was

also

Jbserveo

to

be

17go49,

at

local

noon,

with

a

prismatic

compass.

calculaie

the

magnetic

and

true

bearings

of allthe

sides

oftraverse.

Taburate

the

resurts

and

draw

a

neat

sketch

to

show,n.

u".ring

(3)

(3)

7/24/2019 1st Midterm (1)

5/9

10.

Explain the

temporary

adjustments

of

a transit

Explain how

you

would

take

field

observatiois

witfr a

theoaotite so

as to

eliminate the

following

vernires.

i)

Error

due

to

eccentricity of inner

and

outer

axes.

ii)

Error

due

to

non-adjustments

of

line

of sight.

iii)

Error

due to non-uniform

graduations.

iv)

Error due

to slip.

11,

Given:

A

base

line is.measured

with

a

steel tape.

lt

is

approximately

1000

m

long.

Calculate

the

correct length of

the

base line at

M.S.L.

when the

pull

at

the standardisation

equals 15

kg.

'

The

pull

applied

isZ3kg,

cross-sectional

area

of

the

tape

is O.O645cm2,E

=2.L1x

(4)

'

105

kg/cmz,

Temperatures

[r,

and

ino

be

35"C

and

15'C

respectively.

The

difference of

level

between

the two ends

of

the

base line

is

2.0 m.

The radius

of earth

R

=

6400

lcm.

(4)

(4)

7/24/2019 1st Midterm (1)

6/9

Uni Roll

no:-..................

GLA Universlty,

Mathura

course:-

B.Tech.

rI

Yea6I-

Mid rgry

(odd

sem.)

Examination,2013-14

Subject:-

Mechanics

of

Solids

(CEE-2f

l)

Time:-90

Minutes

M.M:-20

Notes:-

l.

Answer

ANY

FOUR

questions

from

section-A,

ANY

THREE

from

Section-B

and

ANY

TWO

from

section-C.

2.

All

questions

of

the

particular

section

shoutd

be answered

collectively

at one

place.

3'

Answer

should

be

to-.

the

point

and wherever

required,

be supplemented

with

neat

sketches.

Any

missing

data

may

be

assumed

suitabry giving

proper

justification.

Figures

on

the

right

hand

side

margin

indicate

marks.

4.

Section-A

(Attemnt

anv four

auestions)

04x1=4

1' If

a body

is

stressed

in

such

a

way

that

it has

two

unbqual

unlike principal

stresses

100

&

50

n/mm2.

Then

calculate

the

maximum

shear

stress.

r

---r--

2'

The

radius

of

Mohr's

circle

for

two

equal

unlike

principal

stresses

of

magnitude

o.

3'

Ifa

bar

has

constant

cross

sectional

area

ofA

and is

subjected

to tensile

force

p.

Then

specif

the

maximum

shear

stress

and inclination

of

corresponding

plane.

4.

write

the

transformation

equations

for

uniaxial

stress

element.

5. write

the

condition

of failure

criterion

for

Haigh's

Theory.

6,

Draw

the

shape

of shear

stress

distribution

over T-section.

'

section-B

(Attempt

anv

three

questions)

03x2d

l'

Plot

the

stress

element

accompanied

with

the

state

of

simple

shear.

Also

draw

the

stress

and

force

diagram

to describethe

stresses

on

incrined

plane.

2.

Two

perpendicular

planes

have

following

stre.sses:

Tensile

stress

of 50

N/mm2.

Compressive

shess

of

40 N/mm2.

Shear

stress

of

20 N/mm2.

Find

the

stress

component

and

the

plane

of

compressive

stress.

3.

Compute

the

values

of

e:2

using

Mohr's

Circte

method.

4'

If

for

a

point

in

a

material

o1=

2o2=

3o3.

Calculate

the

value

of

o1

according

to

maximum

principal

strain

theory.

When

elastic

limit

in

simple

tension

is

210

N/mm2

and

p=0.3.

resultant

stress

on

a

plane

at

30o

clockwise

to the

7/24/2019 1st Midterm (1)

7/9

5'

A

beam

of

span

5m

is

simpry

supported

at

A&B.

UDL

of

r0

kN/m

is

acting

on

the

beam.

ross

section

of

beam

is

200X400

mm.

Determine

the

shear

sness

at

a

point

I00

mm

bove

the

bottom

of

beam

at

mid

span.

02x5:10

l.

Derive

the

equation

of

on

and

ot

for

the

following

case.

______t'

T.y

I

I

I

I

-*o'

T*y

--

2.

write

the

names

of

various

theories

of

fairure

and

describe

any

two

of

them.

3'

Prove

that

in

a rectangular

cross

section

the

maximum

shear

stress

at

neutral

axis

is

50olo

more

than

that

of

the

mean

value.

7/24/2019 1st Midterm (1)

8/9

Univ.

Roll

No:-...........

GLA

University,

Mathura

course:-B.Tech.

ll-year,

l-Mid

Term

{odd

sem.}

Examlnatlon,

2013-14

Subject:-

Environmental

Studies

(CEE_2O11

Time:-90

Minutes

M.M:-20

Ahswer

ANY

FOUR questions

from

each

section.

All

questions

of the

particular

section

should

be answered

collectively

at

one

place.

Answer

should

be

to-the

point

and

wherever

required,

be

supplemented

with

neat

sketches.

Any

missing

data

may

be

assumed

suitabty giving

proper

justification.

Figure

on

the

right-hand

side

margin

indicate

marks.

Notes:-

1.

2.

3.

4.

5,

Section-A

(Attempt

any

four

questionsl

1.

Define

edaphic factor.

2.

What

are

ecological pyramids?

3.

What

is

abstract

environment?

4.

Which

layer

of

atmosphere

support

the

aurora

formation?

5.

What

is

meant

by

intangible

resources?

5.

Define

DO.

.Section-B

(Attempt

any

four

questlonsl

1.

Distinguish

essentiar

and

non-essential

rife

supporting

environment.

2,

Write

major

functions

of lithosphere.

3.

Give

means

to

create

public

awareness

for

environment.

4.

What

are

the

functional

features

of

balanced

ecosystem

5.

Differentiate

perpetual

and

renewable

resources.

6.

Write

ecological

value

of

forests.

Section-C

(Attempt

any

four

questionsl

1.

Give

the

scope

of

environmental

science.

2'

Discuss

the

structure

of

atmosphere

with

suitable

temperature

and

altitude profile.

3.

Describe

an

aquatiC

ecosystem.

4'

what

is

deforestation? Enumerate and

discuss

the various

causes

of

deforestation.

5.

Discuss

fluoride problems

in

drinking

water.

6.

Discuss

the

environmental

effects

of extracting

and

using

minerar

resources.

04X

01=

04

04X1.5=06

04X2.5=10

7/24/2019 1st Midterm (1)

9/9

GLA

UniversitY,

Mathura

I Mid-Term

Examination,

2013-14

Course:

-

B.Tech.

Subject:

-

Mathematics

(AHM- 201)

Time:-lHour

30

Minutes

II-Year,

III-Sem.

Uni.

Roll

No:-

Total

Marks:-20

Notes:-

l)

Atternpt

ANY

FOUR

questions

of

Section-

A, ANY

THREE

from Section-

B, and

ANY

TWO

from

Section-

C.

2)

Answer

should be

brief

and

to-the-point

and be supplemented

with

neat sketches'

3)

Any

missing or

wrong

data

may

be assumed

suitably

giving

proper

justification..

Section

-

A

(1

l4=04)

Q.1

State Gauss

divergence

theorem.

a

Q.2

If

i

:

xi

+

y

j

+

z

i,thenfind directional

derivative

of

1

along

i.

r

Q.3

Findtheunittangentvectortothecurve

/

=t2i

+2t

j

*rt

i att

=7.

Q.4Findalltherootsoftheequation.rl

+6x2+9x+4=0,ifonerootofequationis-1.

Q.5

Find

the

equation

whose roots

are

decrease

by

2

to

roots

of

the

equation

xt

-6x2

+12"r-8=0.

Section-B

(2x3=06)

Ql.

Solve

the

equations

xi

-

27

x

+

54= 0

by

Cardon's

method.

Q.2.

Solve

the

equations

xa

+

8x3

+9x2

-

8;r

*

l0

=

0

by Descarte's method.

Q.3.

Using

Green's theorem,

evaluate

ltr'fi*+*2dy1

where

C

is

the

boundary

described anti-

clockwise

of

the

triangle

with

vertices

(0,

0),

(1,0), (1,

l).

Q.4.

Find

the angle

between the

surfaces

*2

* y'

+ z2

=9

and

.r2

+

y?

-

z

=

3

at the

point

(2,

-1,2).

Section-C

(5x2=10)

Q.l

Verify

Stoke's theorern

for F

-

(x2

+

y\i

-

zry

i

taken

round

the

rectangle

bounded

by

the

lines

x

= ar

=|ry

=

b .

Q;2

Solve the

equations

xo

-10.13

+35x2

-50x+

24=0

by

Ferrari's

method.

Q.3If

the

directionalderivative

of

Q

=

oxzy

+

by2z

+

"r2*

utthe

point

(1,

l, l)

has maximum

magnitude

l5

in

the

direction

parallel

to

the

linel]

=

')

Q.4.

Show that

the vector

is

irrotational

as

well

as solenoidal,

where

7=xi+yj+tn

y*3

7

=-

I

find the

values

of a,b,c

.

r

D_

,

_T

r-

andr =

*'

+

y'

+

,2

.

Find the

scalar

potential.