nov-dec-2011-sa2.pdf

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Reg.

No.

B.E./B.Tech.

DEGREE

EXAMTNATTON,

NOVEMBER/D

Time

:

Three

hours

Give the

mathematical expressi

rigid

jointed

plane

frames.

Write down

the equation cj{elenlrfrttstiffness

matrix

as applied to 2D

plane

3.

4.

element.

'"14'

5.

What

is the

basic

idea

of

Eresh

generation

scheme?

6.

State the

str_ess-s$ 4 relationship

in

CarLesia.n

co-ordinates.

7.

Defin

plasnb.

,nodirus

and

and shape

factor.

I r-'',

'.'

s.

wlfuf

&e rnearii

.

Wlfuf

&e rtrearii

bload

factor

and collapse load?

..:;'

9.

Defiiq-lgnsio.gtoefficient

For what

b[)e

of structures

tension coefficient

mfihoO

ls

gmployed

?

10.

Wlat

eie

the components

of forces

acting

on the beams curved in

plan

and 3irow the

sign conventions

of

these forces?

I

8/17/2019 Nov-Dec-2011-SA2.pdf


11.

{a)

PARTB-(5x

16=80marks)

Analyze

the continuous

beam ABC

shown

in

Fig.

Ql1

(a)

by

flexibility

matrix

method

and

sketch the bending

moment diagram,..

zk*ls"-

lrN

AnaJtze

the

portal

frame

ABCD

show

h Fig.

e.il{b)

by rlexibility

matrli

method

and

sketch

the bendjng

moment

diagmm.

4ht

4't

/

I'

S

/,t..-

e

"

co^ bx?

Fis.

Q

11

{a)

O.

(b)

12.

{a)

Ana1.J.ze

t{te

continuous

beam

ABC

shown

in

Fig.

et2la)

by

stiffness

method

and

also

draw

Lhe

shear

force

diagram.

t*/.^-

EI

=

aor{bnl-

Fis.

Q12

(a)

Or

{u

ls.

Fis.

Q

11

(b)

66144

8/17/2019 Nov-Dec-2011-SA2.pdf


Fis.

q12

&)

...,

elementa.

6ii{ain}'ith a triangular element

torlnulatroo.

-

ot.

(b)

Wnte

a note

on

cgnstaiii.strqin'l4diicle

Explain

in detail

about

the

4_nodded

rectangular

element

tl'

arrive

the

stiffness

matrix

14.

(a)

A

simply

supported

\gam

gl'spun

s*

i"

t" t'e

desisned

fo a

UDL

of

'

'

z5

kVm

o"sign

^

oitabit

I

sectlon

using

plastic theory'

assuming

yield stress

in

steel

as

lv= 250

N/mm''

Or

1s.

(a)t.q$u

bridge

has

a

span

50

m

with

a

15

m wide

mnway

lt

is

load

of 30

kN/m

including

self

weight

The

bridge

is

a

pair

of

cables

having

a

centml

dip

of 4m

Find

the

al area

of

the

cable

necessary

if

the

maximum

.

permilsible stress

in the

cable

material

is not

to

exceed

600

MPa'

Or

(b)

Analyze

the

portal

lrarne AEICD

shown in Fig.

Q12{b)

by

stilTness

method and also

draw the bending moment

diagram.

Draw the

tlpical finite

model

for displacement

.a

e.T

=

Cat

tlqr,

66t44

8/17/2019 Nov-Dec-2011-SA2.pdf


(b)

A

semi

circula.

beam

of

radius

R'in

pian is

subjected

to

UDL

and

simply

supported

by

three

columns

spaced

equally

Derive

the

"*pr"""lo1rtot

U"naing

moment

and

torsional

moment

at

x-be

a

point

ofl

th"

b..-

-"kirrg

an

angle

a'vrith

axis

passing

throlgh.the

base

of

the

circle.

-

i

..'1"

-1

.'

,'

..

:. .'

,:'rt

l'..'''.

4

nov-dec-2011-sa2.pdf

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