D-Roll No. ......................

wTotal No. of Questions: 08] [Total No. of Pages: 03

Paper ID [CE505](Please fill this Paper ID in OMR Sheet)

M.Tech (Sem. - 1St) ..

ADVANCED STRUCTURAL ANALYSIS (CE - 505)Time: 03 Hours

Instr:.uction to Candidates:

t) Attempt any Five questions.

2) All questions carty equal marks.

Maximum Marks: 100

Af4r ')

c'QQ9

QI) (a) Discuss the various steps to be follQwed while analysing structure bystiffness matrix method.

(b) Generate flexibility and stiffness matrices by illustrating corresponding

. co-effici~nts for the beam shown in Fig.1 and subjected to loads AI andA2 at the free end.

.§; ~kj. .L

A,

I)A"

Q2) Determine the reactions at the supports and draw.B.M.D for the continuousbeam loaded and supported as shown in Fig.2 using the stiffness approach.

\- r~ k N

;).KN\'\o1 '. . .

A ~;:~~~~ E. 1:) . Bu' l \. S f:.:t )

-r '"",, "+'3"""''''t,.. s~

If \<~ I).-or,

~~~*

b~

~lj . ~

Q3) Compute overall stiffness matrix, combined joint loads, free displacements,support reactions and !\1ember - End actions for each member for the structureshown in Fig.3 as per the following dataE = 2 X 108 kN/m2, I = 54 X 10-{; m4

A = 16 x 10-3 m2:

Also draw B.M.D. and S.F.D.

R-I036/2058J P. T.O.

. ,1. ~

~ kN/vv.A

;1rn

lE1.)f 1" I~ I<N}Vn

'0" c..

;}

"~

~~VI-'I

~\.'j' "3

Q4) Compute overall stiffness matrix, combined joint loads, free displacementsand forces in each bar of the truss shown in Fig.4 neglecting self weight ofbars. EA is same for all the bars. Area of each bar = 40 cm2. 'E = 2000 kN/cm2.

3b ~N

r5

~~

3D \c:..N

~

F~,~

. Q5) Analyse the frame shown in Fig.5 by Flexibility matrix method to determinereactions at supports A and D. Also draw B.M.D.

( . r :2..\<",,- I'n-)'8 \<N

-

r:=-

3""".1'

"3 "'".f

B 1:) C.

ltJ 16'"

A

k-D

R-1036

H:

.

j. S

2

,.

f'"' Q6) A solid circular plate of radius 0.25 m with its outer edge completely restrained

is subjected to a pressure load of7 MPa. I~the allowable stress in the plate islimited to 90 MPa. Determine (i) the thickness of the plate (ii) the maximumdeflection.

Assume E = 200.GPa, '\) = 0.3.

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Q7J A prismatic folded plate ABCDEF shown in Fig.6 supports a live load of 0.4kN/m2in addition to the .self weight. Estimate the stresses developed in theplate at mid span sections if the plates BC, CD and DE are 120 mm thick andthe plates AB and EF are 250 mm thick. Span of the folded plate = 8 m.Assume unit weight of plate = 24 kN/m3:

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\3

f\k ~~ .". ;2~

~.

~

E:

~~

~~.~\ 'h,

--jr "- ¥'vi ~. F .

\=: . /~~, D .

Q8) (a) Discussthe analysis of cireulat cylindrical shell using beam theory underthe selfweight of the shell..

(b5 A reinforced concrete circular shell has the following particulars...

(i) radius of the shell = 6m. .

(ii) spanof the shell= 24m. .

(iii) semi-central angle = 60°.(iv) thickness of the shell = t = 50 mm. ,

Calculate the maximum stress due to self weight only in the shell by beamtheory.

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