AMIE Study Material & Admission Packages AMIE(I) …...Draw the influence line diagram for bending...

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$'16 : 7 AN: CV 407 (f 433)

A}TALYSTS Ai\iD DESIGN OF STRUCTUBES

V'ime : Three hours

Maximum Marks : 100

idnswer FIYE questians, taking ANy TWA from.Group A, -

ANY Two fram Groap B and lrLL from Group C.

All parts at a question (a,h,etc.) shouldbe answered at one plaee.

dri-s*er should be brief and to*the-point and be supplementedu,'ith neat sketchss" tJ*necestary lang answers may

result dr /oss of marks. :

.flny mluring or wrong data *tety be assumed suitably giving.proper jistiJication.

Figures on the right-hand side margin indicate /ull marks.

Gmup A

[. (a) What is meant by a conjugate beam ?

(D) A cantilever of length I carries a concentratedlotd Wat a distance / from the fixed end (Fig. l). Calculateslope and deflection at the free end I using conjugatebeam method" 15.

wLA <- I ) E/= constantk__ L

Fig.l

A three-hinged parabolic arch has a 20 m span and 5 mrise" It carries a uniformly distributed load of 20 kN/m over

B

2.

{Turn Over )


28

14

6.

20

5

t5

3.

the Ieft halfofthe span and a concentrated load of 12S kl{at 5 m from the right end. Find the bending moment aidnormal thrust at a section 4 m from the left end.

(a) Write the statement of Castigliano's firstttreorem.

(D) Find ttrc vertical deflection atl for the lamppost loaded

as shown in Fig. J. Assume the same uniform flexura!rigdrty.

(&) A sirnpli,-supported RCC beam is 400 mm and 800 mm.Assumu effective cover of 50 rnm and caldulate theminimurn rsinforcement required and that rcquired for a

balanced section. Also, writethe procedure to calculateshear force requiremenl Use M20 grade concrete andFe415 steel.

(a) Compare the merits of a riveted connection to that of a

weldedcnnnection.

(D) A tie member of a truss consists of double angle

section each 80 rrm x 80 mm x 8 mm welded on theopposite sides of a 12 mm thick gusset plate. Design a

fillet weld for making the connection in the workshop..Factored tensile force is 300 kI{.

Calculate the value of least radius of gn:ation ofa column consisting of IS IIB 250 with one cover plate300 mm x 20 rnm on each flange. For IS fm 250

@54'7 kg/m, A:6971mm?, I,=7983.9 x l0amma,Ir=20ll'7 x lff mma.

Design a built-up column, l0 rn long to carry a factoredaxial load of 1080 kI{" The column is restrained in positionbut not in direction at bo& ends. Design the columnwith two channels placed back-to-back.

For IS MC 250 @ 30.4 kg/m

A = 3867 rrmz, r, = 99.4 rrm, I = 23.8 mm, lr: 14'l mm,

-f,a: lA0.A2 N/mm'z1

For IS ryC 300 @ 35'8 kg/m

A : 4564 mm|r, = I lB' I mm, r; = 26.1 nrn, tr=I,= 6362'5 x l{F mrua, I, = 3 to'f x tr 0a mnra, ,f,N/mm2"

P

e-yrJ1h

-I4.

15

202A

8.

Fig.2

Apply moment distribution method and draw the bendingmoment dialram for the frame (Fig. 3).

90 kI.I 60kN/nn

2I 2I

Itmf-zm 4m -+

Group B

5. (a) Defrne'effective cover', 'development length of rebar'and'balancedbeam section'. 3 x2

T4mI

C

13'6 nrn,:122.65

28

( ?furn f-luer )

Fig. 3

S'l/ .' ,tN:CV407 (1433) (2) i, Continued) S' 16 : 7 Atl:CV 40? (lr133i !u\


29

Gnoup C

9. Brieflyexplainthefollowing: l0 x ?

(0 Degreeofindeterminacy

(rr) Advantages of influence line diagram

(llr) Foint of c.ontraflexure

(fv) Advantages of two*himged arch

(v) Merits ofwelded conne"ction

(vl) Uses ofpurlins

(vif) Uses of a gantry girder

(viii) Slenderness of colunams

(rr) Lirnit statedesign

(x) Doubly reinforced t[CC tpearul

S"!6"7,4N:C!407t1433) ( 4 ) .qG..- li ]:i{:!it


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W'l 6 z7 AN: CY 407 (1433)

AI\IALYSIS AN[I) DESIGN OF STRUCTTJRES

Time : Three hours

Maximum Marks : 100

Answer FIVE questions, taking ANY TWO from Group A,ANY Two fro* Group B and I,:.,L from Group C.

All parts of a question (a,b,etc.) shouldbe answered at one place.

Answer should be brief and to-the-point and be supplementedwith neat sketches. Unnecessary long answers may

result in loss of marks.

Any missing or wrong data .may

be assumed suitably givingproper justification.

Figures on the right-hand side margin indicate full marks.

Group A

l. Draw the influence line diagram for bending moment at a

point 10 m distance from the left-hand abufrnent on a bridge

girder of span 25 m Ref. Figure and find the maximumbending moment at the point due to a series of wheel loads

100 kI.I, 200 kl.I, 200 kN,200 kI{, 200 k}',I at centre tocentre distance of 4 rn, 2.5 m,2.5 m and 2.5 m. The loads

can cross in either directiog 100 ktl load leading in each

case. &

tk- lOm

-{ I

25m

(Turn Over)


31

2. (a) Determinethe vertical and horizontal displacement atthe free end D in the frame shown in figure. ThkeEI: 12 x 1013 N/mm2. Use castigliano's theorem. 15

30lN/m

50q

lc-- 4 m

-{(D) Write the statement of moment area theorems.

(a) Athree-hinged parabolic arch hinged at the supportsand at the crown has a span of 24 m and a central rise

of 4 m. It carries a concentrated load of 50 kI{ at 18 mfrom left support and a uniformly distributed load of30 k},{/m-over the left-half portion. Determine the

moment thrust and radial shear at a section 6 m fromthe left support.

(D) Mention the few methods comes under the forces and

stiffiress method.

(a) Analyze the continuous beam shown in figure byslope-deflection method and draw shear force and

bending moment diagrams.

2 kI.I/m 5 kI{ 10 khl

,,

l.--s,o {(2's*>k2'5'*(2** 3*

{

(D) Write short notes on :

(r) Method ofjoints(u) Method of sections.

Group B

(a) Design a tension member using two angle sections tocarry 180 kI.I when both angles are connected.

(,) On both sides of the gusset plate and

(rr) On the same side of the gusset plate.

(D) Mention the advantages and disadvantages of weldedconnection.

Design a column of effective length 5.90 m. It is subjectedto an axial load of 1400 ktl. Provide two channels back-to-back connected with battens by welded connection.Followin g datamay be assumed :Allowable compressive stress = lZ0 Mpa.

fr= 250 MPa.

Properties ofchannel section :

ISMC 350 @413 N/m.A:5366mm2,f o= 136.6 fifin; r,u= 28.3 rnm,

.I- = 10008 x lOa mma;

Io= 430'6 x 104 mma;

Co:24.4 trm.

(a) Design a slab base for 2 columns. Section consistingof one SC 250 with two cover plates 300 x 25 mmcarrying an urial load of 2500 ld.l. The safe bearingcapacity of soil is 250 kN/m2, and the permissiblebearing pressure on concrete is 4000 kl.I/m2.

(D) write down the design procedure ofwelded plate g,rder. g

l-!.

l5

6.

3.

l5

4.

7.l5

20

t2

W'16:7AN:CV 407 (1433) ( 2 ) (Continued) W'16 :7 AN:CV 407 (1433) ( 3 ) (furn Over\


32

8. A rectangular RC column 600 mm x 400 fiIm calries aIoad of 800 ld{. Design a rectangular footing to support the

column. The safe bearing capacity ofthe soil is 200 ki.{ per

square metre. Use M20 concrete and Fe 415 steel. 20

Group C

9. Brieflyexplainthefollowing: 10x2

(r) Degree of freedom

(r, Uses of Influence line diagram

(iii) Statically indeterminate stnrcture

(ru) Distributionfactor

(v) Principle ofvirtual work

(yr) List the hot rolled steel section used in practice

(vfi) Elements ofplate girder

(viii) Effrciency ofjoints

(rx) State the possible failure mode of an axially loadedcolumn

(x) List the major components of an industrial building.

W'16 :7 AN:CY 4A7 (1433) ( 4 ) AG- 1,200


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AMIE Study Material & Admission Packages AMIE(I) …...Draw the influence line diagram for bending...

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