8
(, -tl L t d,) C) o g E OJ C) ox de 6 -^t troo cd+ i: OO !: (.) OE dx U() boi -6 a3 cc 3(, 'Ca OE io so. o.. (.)j a-- Bu 4 l.E C'- !o >,: 50- coo o= o. [: I \r< -C\ o o z o USN 12CSE14 First Semester M.Tech. Degree Examination, Dec. 20l3lJan.2Ol4 Structural Dynamics Time: 3 hrs. Max. Marks:100 Note: Answer any FIVEfull questions. -....J.^.*J-.-.-,..-*-.*-.*- 1 ,,,,,,,,,a1 What is damping? What are the methods to evaluate damping? Explain any one *"lJP* -, - (10 Marks) b. A spring mass system has spring stiffness of 'K'N/mm and mass 'W' N:,It has natural lequency of vibration of 12 Hz. An extra 20 N mass is coupled to 'W" and the natural frequency reduces by ZHz. Find 'K' and 'W'. (10 Marks) 2 a. Obtain the expression for the response of a damped SDOF system subjected to initial conditions. Discuss the three cases of damping. (14 Marks) b. A spring mass system kr and mr has a natural frequency fr calculate the values of kz, which is another spring which when connected to kt in parallel,increases the frequency by 30 % . (06 Marks) to harmonic force. (10 Marks) (10 Marks) 3 a. Derive an expression for undamped forced vibratioh:of SDOF subjected b. A machine of w: 90 kN is supforted on springs of k : 6.35 x 1011 N/mm, subjected to an exciting force of 500 kN w: 60 radls, assuming 20Yo of dampng find : steady - state amplitude force - transmitted to foundation. 4 a. Derive the expression for Duhamel's integral for the response of SDOF system subjected to arbitrary excitation. (12 Marks) b. Obtain the response of undamped and damped SDOF system subjected to a suddenly applied constant force of magnitude F6. (08 Marks) +rels F( Y) , Fo Fig. Qa(b) For the shear building, compute the natural frequencies plot the mode shapes and prove their orthogonally. Refer Fig. Q5. EI :20.000 kN/m2. I, and mode shapes, Givenm:12800kg, (20 Marks) T I 1 I L T t- Fig. Qs ,Z'oF '*Y

1st Semester M Tech Structural Engineering (Dec-2013) Question Papers

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Page 1: 1st Semester M Tech Structural Engineering  (Dec-2013) Question Papers

(, -tl L t

d,)C)

og

E

OJ

C)

ox

de

6-^ttroo

cd+i: OO!: (.)

OE

dx

U()

boi

-6a3 cc

3(,'CaOEioso.o..(.)j

a--Bu4 l.EC'-

!o

>,:50-cooo=o. [:

I

\r<-C\ooz

o

USN 12CSE14

First Semester M.Tech. Degree Examination, Dec. 20l3lJan.2Ol4Structural Dynamics

Time: 3 hrs. Max. Marks:100Note: Answer any FIVEfull questions.

-....J.^.*J-.-.-,..-*-.*-.*-

1 ,,,,,,,,,a1 What is damping? What are the methods to evaluate damping? Explain any one *"lJP*-, -

(10 Marks)

b. A spring mass system has spring stiffness of 'K'N/mm and mass 'W' N:,It has natural

lequency of vibration of 12 Hz. An extra 20 N mass is coupled to 'W" and the naturalfrequency reduces by ZHz. Find 'K' and 'W'. (10 Marks)

2 a. Obtain the expression for the response of a damped SDOF system subjected to initialconditions. Discuss the three cases of damping. (14 Marks)

b. A spring mass system kr and mr has a natural frequency fr calculate the values of kz, whichis another spring which when connected to kt in parallel,increases the frequency by 30 % .

(06 Marks)

to harmonic force.(10 Marks)

(10 Marks)

3 a. Derive an expression for undamped forced vibratioh:of SDOF subjected

b. A machine of w: 90 kN is supforted on springs ofk : 6.35 x 1011 N/mm, subjected to an exciting force of 500 kNw: 60 radls, assuming 20Yo of dampng find :

steady - state amplitudeforce - transmitted to foundation.

4 a. Derive the expression for Duhamel's integral for the response of SDOF system subjected toarbitrary excitation. (12 Marks)

b. Obtain the response of undamped and damped SDOF system subjected to a suddenly appliedconstant force of magnitude F6. (08 Marks)

+rels F( Y) , Fo

Fig. Qa(b)

For the shear building, compute the natural frequenciesplot the mode shapes and prove their orthogonally. Refer Fig. Q5.EI :20.000 kN/m2.

I,

and mode shapes,

Givenm:12800kg,(20 Marks)

TI

1I

LTt-

Fig. Qs

,Z'oF'*Y

Page 2: 1st Semester M Tech Structural Engineering  (Dec-2013) Question Papers

12CSE14

6 For a three storeyed shear building shown in Fig. Q6 write the equation of motion,determine the three natural frequencies, mode shapes arid plot them. Combined stiffness of

j,! each floor: k.

Tffi,,Qvnl I**lr

l n:)t/\ r

l{'n I I

ltt*',', )L J ,*li'Fig. e6=,i1# $ -"*-iq bf"";r

7 Derive the differeii bl equation of motion for free flexura{flb?htion of the simply supportedbeam. Sketch ttre fiisi=tlrree mode shapes. '\X (20 Marks)

i-,,,,r*,,,, ,i

r*,n:,,-,::ri

a. Seismic instruments *[*"d. JtrIsIIllU ulstIuIIIgIlLS .,,' ,,,,," - qfu

b. Rayleigh's method .,,,. - "*r

d/ 1 1 t i1 1

." ils,:i" ,!

' "ll,

,/

q.

*rrt ,t

t)2 : t{)

2 of2

Page 3: 1st Semester M Tech Structural Engineering  (Dec-2013) Question Papers

USN 12CSE153

(10 Marks)

,'.t,,,,. ,, (10 Marks)

(10 Marks)

2a.b.

oo(.)

Lq

()

o

E9

,Ih-.oooltroa,rI

.E or(o+o :1u

otr3()

o2

a=

oc)

o0c

-6N+E|d

-aoi3

p.ao.voj

o=

A'E

:9/. .9Y,,oootr olJ

(J=potr>=0VLo--^-; eti

ooz

First

" ''"'t""'

'" ". Time: 3 hrs.

5a.

b.

6a.

b.

1 a. Wiat are the defects normally observed in concrete structures? Discuss briefly theirremedies. !,,,. (10 Marks)

b. Whailts.,salphate attack? Explain about the causes and effects of sulphate attack. ito tvtartrs;

(10 Marks)(10 Marks)

Semester M.Tech. Degree Examination, Dec. 20l3lJan.2Ol4Repair and Rehabilitation of Structures

Max. Marks: 100Note: Answer ony FIVEfull questions.

(10 Marks)

(10 Marks)(10 Marks)

serviceable.(10 Marks)(10 Marks)

Explain the maintenance procedures required fo. irrifaing to keep the building

Explain in detail, the inspection for evaluating a fire damaged structure.

. . l...

. ",,,

. ...... ..:::

..:::::

3 a. Explain assessment procedure for evaluating damages in structures. (10 Marks)b. Name the various testing system used in the assessment of distressed concrete structures.

Discuss about the evolution of diff,e?eMyfes of cracks.Explain the various factors, whieh affect the permeability of concrete.

::, :.

Write notesio''i) Ferro,,,cementii) :Sulphur infiltrated concrete.Eiplain briefly advance techniques for repair.

7 ,.,,,

d'

b.

Explain the safety precaution prior to dismantling and during dismantling.Explain the various stages involved-in the repair of crackb, using epoxy injection technique.

(10 Marks)

:::',,

Write short notes on :

a. Corrosion mapping testb. Concrete chemicals for repairc. Surface preparationd. Advanced demolition techniques. (20 Marks)

Page 4: 1st Semester M Tech Structural Engineering  (Dec-2013) Question Papers

l

USN

Time: 3 hrs.

,::,,,,"'

"' ,,,

' ,.,

First Semester M.Tech. Degree Examination, Dec. 20l3lJan.2014Gomputational Structural Mechanics

.:,,;,,

12CSE11

Max. Markr:,100

Note: 1. Answer any FIVEfull questions.2. Missing data, tf any, may be suitobly ossumgd...i

hnt

J.t'

ts

.

dooq

0)6(.)!

6s!,.

Jh

troo.=Nd+nooY()otr

-E()

6-a2

a=

o()

(s(B.o:.G

-r? d)

or=

a.Ao.eoj

o=

AEGE!o5.v>'!bo"cao'o=AEF>ot

lr<J ..i

ooz(!Lo

, "ii (05 Marks)1 a. Expl,,qin..the concept of stiffness and flexibility.b. Explaih the static indeterminacy and kinetic indeterminacy of the,,,1,t1'uctur., *nn

iififio.,ll;c. Name and eapl,4in the strain energy concepts in structural analysis, (07 Marks)

2 a. Develop flexibility and stiffness matrices for a cantilever beam with two degree of freedom,Shown in Fig. Q2(a). (10 Marks)

Fie. Q2(a)Generate the flexibility and stiffness r.natrices for the cantilever frame shown in Fig. Q2(b)for the given co-ordinates. (10 Marks)

..3 Determine the displacements of

., ir using flexibility method.the joints of the structure for the frame

lLklln)

sholm in Fig. Q3,:.,.,(20,Marks)

n. ,a' r,,.

1 "1..

ri;'";.t'!,t'5 t<r.t -B

\m1=I"

c

o,5\

o

Fie. Q2(b)

"5"qs"xFig. Q3

o,5L

Page 5: 1st Semester M Tech Structural Engineering  (Dec-2013) Question Papers

12CSE11

Analyse the continuous beam shown in Fig. Q4 by flexibility method. Draw BMD and SFD.(20 Marks)

EA C6Y1l+oM'b*

Fig. Qa.i,ii

Analyse the pin jointed truss shown in Fig. Q5 b flexibility method and find the"rftries in all, (20 Marks)r, the members. Assume E:200 GPa.

,,, Y

. " ':..

5.

6a.

b.

Explain:i) local axes

3*'u T\* ;,

"L,,,,:.;

I- 3rn ;hr,'

ii) global axes . ,, :, (04 Marks)Analyse the continuous beam shown'in Fig. Q6(b) by stiffness method. Draw BMD andSFD. (t6 Marks)

2-!F-.-.--_ Brrt _____*.- 6"rr ____{

Fig. Q61b)

Analyse the frame shown in Fig. Q7 by displacement transiormation matrix.nt I'O C

(20 Marks)

:::::

(04 Marks)

:: Fig. Q7

Briefly discuss about band width consideration.Analyse the truss shown in Fig. Q8(b) by stiffness method and determine the displacementsat joint 1 and the forces in members given A : 10 cm2 and E : 30,000 kN/cm2-. (16 Marks)

ffqr "T r

AskilFig. Q8(b)

{<***{<

2omt' krt

Arn -:2p FNl")

t- l2rr ---J- lLq ----*-- l2-r4 I

Page 6: 1st Semester M Tech Structural Engineering  (Dec-2013) Question Papers

USN

Max. Marks:100:inr, :'

r. .,,),

12CSE12

(05 Marks)(05 Marks)(10 Marks)

First Semester M.Tech. Degree Examination, Dec. 2013lJan.2014Advanced Design of RGG Structures

Time: 3 hrs.

la.b.

c.

8a.b.c.

Note: 7. Answer any FIVEfull questions.2. Use IS 456 - 2000 code.

a)oo!o.

(.)

oL()X

69j

bJjlEc)o

.= 6l

i: OOY.)a=-o

o>o2

6:

oO

boicid

a6

OE

aX

oj

9Eto4tE

!o5.Y>!oo-co0o=o. iitr>7a5L

-N0oz

a

1a.b.

Explain the yield line pattern in RC slabs. (05 Marks)

section of the chimnev. (20 Marks)

Explain design principle and design criteria for earth quake resistant structures. (06 Marks)Explain ductility and its importance in earthquake resistant structures. (06 Marks[Explain with neat sketches, detailing of beam column joint to achieve larger ductility.

(08 Marks)

A rectangular slab of size 4.0 m x 6.0 m is simply supported on all four edges. Design the

slab for a service load of 4 kN/m2. Assume $:0.7, use M26 concrete andFe415 Steel.,

,,;....,,, ,,, (15 Marks)

.,.,t )2 Design a simply supported grid floor of size 18 m x 21 m live load on the floor is 3 kN/m'.

adopt M25 conorete and Fe4l5 grade Steel. Use IS 456 : 2000 rnefhod. (20 Marks)

3 Design a continuous f'a b.u* ABC over two spans o:f 8 m each and it carries a udl factoredload of 75 kN/m cheek whether can reduced the maximum moment by 30Yo andredistribution to the spans. Use Fe415 Steel and Mz! concrete. Width of flange is 1000 mm,width of web is 300 mm, thickness of slab is 150 mm and overall depth and effective depthsare 820 mm and 750 mm respectively. (20 Marks)

llti!

4 Design an interior panel of a flat slab of size 5.0 m x 5.0 m with out providing drop andcolumn head. Size of column i'uS00 m , 50d'mrn and live load on the panel is 5

-kN/m2 and

floor finishes is 1.0 kN/m2. LIse Mzo concrete and Fe415 Grade Steel. (20 Marks)

Design a circular c,,yfindrical bunker of capacity 240 kN to store coal using M26 concrete andFe415 Steel unit@ght of coal is 8.0 kN/m3, angle of repose of fof.is ZS" (20 Marks)

A chirnney of 66 m height having external diameter of 4 m thrdugh,out the height. Thechirnney has fire brick lincing of 100 mm thickness, provided up to a treight of 42 m aboveground level with an air gap of 100 mm. The temperature of gasses above surrounding as is

200'C crc: 11 10-6/'C and E, :2.05 x 105 N/mm2. Use Mzs grade concrete. Design base

Write difference between bunker and silos.Redistribution of moments in continuous beams. ffi

Page 7: 1st Semester M Tech Structural Engineering  (Dec-2013) Question Papers

USN 12CSE13

..:

Max. Marks:100

for the stress

in the form :

(06 Marks)

First Semester M.Tech. Degree Examination, Dec. 20l3lJan.2Ol4Mechanies of Deformable Bodies

dooIa

()!C)

oX

5oJl I

tr@

Y.)OEiao

o>

oo)

oai(!6

oi5

^X

a--aLE

LO

o.r>'hb0-go!(J=uotr>=o5L

\J<-C\ooz

Lo

Time: 3 hrs.

3a.

2a.b.

Note: Answer any FIVEfull questions.

a. Explain 'stress at a point' and 'strain at a point'. (06 Marks)b. Deri he differential form of equilibrium equations in three dimensionS. (06 Marks)c. StresS,-omponents at a point of a body is given by :

-2o* : 3xy"z + 2x.; T*y : 0 "',,,,,, "'

or:5xyz+3y ; Tyz= rzx:3xy2z+Zxy'))oz: x-y + y'z 1

Determine whether these components of stress satisfy equilibrium equations or not at a point(1, -1, 2). If not, deterrnine the suitable body force vecter required at this point so that these

(08 Marks)

(10 Marks)normal and octahedral shear

(10 Marks)

b.

components are in equilibrium with external force. i'i'"

Derive the equilibrium equationi in polar co-oidinates.Define octahedral stresses. Derive expressions for octahedralstresses in terms of stress invariants.

What is meant by 'stress transformations'? Derive the equationstransformations of a stress tensor in another set of co-ordinates x'.y' and z'

[t'ii] : [D] lt;11[Dr] where D is direction cosine matrix.The state of stress at a point relating to x. y and z Cartesian axes

Show that the function O=-*ry'(gd- 2y)isa stress function. Investigate what problem'drcanbesolvedwhenappliedtothatregionincludediny:o,y:dandx:0onthe,,$idepositive. (08 Marks)

l-so 2a 4o-l

' ,o lvrp,o1x.y.z) =lrO 60 I

140 t0 20)Determine:

Of

i) Principal stresses and their orientation relative to (x, y, z) axesii) The maximum shear stress in octahedral shear axis.

Derive the strain compatibility equations in 3 - dimensions. Explain its significance.(08 Marks)

The following are eh components of strain at a point €,,:0.1, €y: - 0.05, e,:0.05,T', : 0.3, T,y:0.1 and y*, : - 0.08. Determine principal strain and principal directions. Alsodetermine octahedral shear strain and normal strain.

a.

b.

I of2

(12 Marks)

Page 8: 1st Semester M Tech Structural Engineering  (Dec-2013) Question Papers

5a.b.

Derive Airy's stress function in terms of polar co-ordinates.For a cantilever beam subjected to a point load at free end, the stress values are given as :

12CSE13

(08 Marks)

(12 Marks)

(06 Marks)(08 Marks)(06 Marks)

(08 Marks)

o" = -iry i oy: o and ,,., = fi{r' -b')Derive equation for maximum vertical displacement.

WA'l+{r}*

Derive expressidns f.o, o. and o6 for a

pressure 'P;' in the form

- - lp,u' - pob2 I ltoo - r, ta2u2 'l

ur-)----:-----7--(T\--:i ) 1 (

L b'-a' I L (b'-a')r' )

_lp,u'- pob'I Itno - R; )a2b2 ]"e -1

b2 _lWhere a and b are internal and ixternal radii respectively. Show the variation of os and

o, for a thick cylinder subjected to intemal pr€ssures only ('Pe : 0). (20 Marks)

Explain the advantages oftheory of plasticity.Explain St. Venant's theory as applied to plastic flow phenomena.Compare and contrast 'Prandtl- Reuss' and 'Levy - Mises' theory.

thick cylinder sqbject to external pressure 'Ps' and

la.b.

c.

8a.b.

:::'

t...:::

Define:i), Rjgid materialii)'" Perfectly linear elastic material'li1 nlgiO - perfectly plastic material.The state of stress at a point is given by :

o* : 70 MPa ; o, : 120 MPa and t,, : 35

125 MPa, determine in a uniaxial tensile test,to Tresca's and Van - Mises vield conditions.

(OU Marks)

MPa. If the yield strength for the material iswhether yielding will occur or not. according

(06 Marks)

{<***{<

2 of2