For More Question Papers Visit - www.pediawikiblog.com 14CSE41

USN

2016

g. co m

Fourth Semester

Max. Marks:100

Time: 3 hrs.

Note: Answer ony FIVE full

questions.

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:

,

Derive the deflection equation for a beam - column of length '/' on the two sirnple supports and carrying continuous load 'q' and axial load 'p'. Also determine the maximurn (20 Marks) deflection.

Z

Using the fourth-order differential equation obtain the first three criticat loads for, (20 Marks) l) Fixed - fixed column ii) Fixed free column

3

Determine the critical load for a cantilever column subjected to a tip load using the energy method by assuming the displacement configuration approximately equal to, (20 Marks) (ii) Parabola. (i) Static deflection curve

4

Determine the critical load by successive approximation method for a hinged -hinged

oB a

5

Determine the critical load for hinged - hinged column subjected to axial load using exact deflection equation given in terms of trigonometric series (by energy method). (20 Marks)

bu

6

Determine the buckling load for a nin jointed frame shown in Fig. Q6. Take

C) C)

L

(.) X

oo-Ycge

=\.)

-oo

ll

qoo .= c\ d$ i'r b0

e8 Li

Lr

0()2

ib

a d

column.

o0i (g(! >T a6

tr=

€(€ oP a-

o.

5_

o:

(gi '- d)

w

== Xq--

w

i.2

6= 3() atE

oo

coI)

6)=

(20 Marks)

AE:

tr,

.p ed

!b

ik

ti

w

o

ia

(.)

lo

I

()

10 N. (20 Marks)

At')

tu

J

Fig. Q6

c.U

w

=0) o

cn

L.)< -

0)

Z p P L

C-

Determine the buckling load for simply supported beam of I-section subjected to central (20 Marks) concentrated load.

C'.tr

Derive the expression for deflection when buckling of simply supported rectangular plate (20 Marks) uniformly compressed in one direction.

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