,

MAHARASHTRA STATE BOARD OF TECHI{ICAL EDUCATION(Autonomous)

(ISO/IEC - 27001 - 2005 Certified)

Subject Code:17311SUMMER' 15 EXAMINATIONS

Model Answer- Mechanics of Structure TotalPages: o I t3o

lmportant Instruction to Examiners:-1) The answers should be examined by key words & not as word to word as given in the modelanswersscheme.

2) The model answers & answers written by the candidate may vary but the examiner may try to accessthe understanding level of the candidate.

3) The language errors such as grammatical, spelling errors should not be given more importance.

4) While assessing figures, examiners, may give credit for principle components indicated in the figure.

5) The figures drawn by candidate & model answer may vary. The examiner may give credit for anyequivalent figure drawn.

5) Credit may be given step wise for numerical problems. ln some cases, the assumed contact valuesmay vary and there may be some difference in the candidate's answers and model answer.

6) ln case of some questions credit may be given by judgment on part of examiner of relevant answerbased on candidates understanding.

7) For programming language papers, credit may be given to any other programme based on equivalentconcept.

lmportant notes to examiner

;, Subject Code: | 73t 1

SUMMER - 15 EXAMINATIONSModel Answer

oLlsoPage No: "- _/ N

SOLUTION MARKS

'u*endrcu latr Axis

ia-olern etot f f 1."x *"a Jl v qne- thnnc, rremf + o f in etrh o, of "q- Pl etry q se-ch'utr)

ojc o ttl th e- +t,t] o rnvN cd , y ?eaPen dr'cul

g,ye9 pe<A',ng a+'o' +bvn tbe fhom

" f i ^ow h'e- ', ,,- czhttttf t Lt q -thir J qn('t'g

a I-r ,fo plcme qrnd ?utn'rq throv

tb e in tettsech'\vetn b

I-LZ = -rT

tht'?cI

aQ/ac4's' zL I's

t

fiQ-"4-l

Iz-z- = Ip

t-r-) b ertZ 1-g 7 Fol LQI:I-. r'o rv><xt| of. trlerlf

Cors,da6 co lzlana,tl wt <ec-fictn h3c o

bcose h A hr'9h+ h' e€ rhor.lt I'

Q.NO SOLTJTION

4br c snr*

o f- 6zcn v tn fh'ct/fic"f r"t t bq ca-* q cl r'starnce o# €*r0ttrt bcq

g

ft),r., o F, tryiqmil e o-lroul- *be* boaAx fs P e ?*+dnq tbr.ruven it's cs-fe,d- 'C'is Ntleft\ b

t

-SucH"l{l-y s - f + iS tb e- ?-.,- ftr*l o

to uYrd etrg o G Co t: sf .l erre-bl

"tfl!L)?+u'?rg.- :#--i!, it dht frgpftJ aF rn.rt.,ricrf dueto urhich tt csn bC dtr&t^ln-m

fngle.o-bitfilt- f+ i5 the_ ?.oo?<,t11 'o€

c{_t_

En o-l-e'r q.q{-l bV V i rrtv e- ,, f <) h r'c-k1 r' .l- g e-t'S

?err-rnccfiel-nt1y a e-fod-rn.] by cora?--e-sSf on,

&3 r't h ocL+ '4'o?+ut€-.

Subject Code: I tA t l

fr i-t is &|ne- PmPrd{ lthi q shr.fr ,

SUMMER - 15 EXAMINATIONSModel Answer

aF q-f,nqhrric'.1ffi- +o r$hi.lrt if ccrn be dtcrul h lnlo

zl3oPage No: / N

:

r Subject Code: l73l I

SUMMER - 15 EXAMINATIONSModel Answer

4l3bPage No: I __/ N

Q.NO SOLTJTION MARKS

'y\omlyrco-l Szeroj<fnq shoe.rs Ac+"EJ &z"nx-t A EttesS

l"+ I',t the t.cuh'o, of Yo.o- f+ l't {ht rTo4t'o 0fcof B^"pcol(r'rY1 Poi"n loceel ca-,t- Itr.ecqgitg Pt"

f o f h e, oriqf ,r'r.d c'rnSS - To the" -t"eduta

CnroSf. Se Ch'o"ncoJ . coru€Q,Se ch'.-$4''r'eq,o-+ f<;c-oc+{J"?€u

Vrpg/a^t}nq s@SS

shers t-S h'l 1b.dI's 1 e; S th u/n ulh'rn.t b Wy\ ' L, lh'fnco-|g , {'Sfa€_s_s.

coTrdl'hcnD$ of coIum T),

r) Eo th €^n.l h l'mq ed *l .-Botb €/n0 frxu L=+ome- ernd fi'Xeo,l qlnA afuiw

"tn} hr'rn

o"rrt e"nc) 4"x eaj .p-A pflr.td' Qrn? f"€€,

il1 i",F g oo , ,bo{- ZY

i

I'F \fo, pY.

4b qnn Qr*e-g*,

't.3,Colurnryt e.nD l-S

Subject Code: l}J, I I

SUMMER - 15 EXAMINATIONSModel Answer

oEIsoPage l{o:

-__/_NQ.NO SOLUTION

?aoof rnesflr"emce" f U m*fal

MARKS

E.L U

@

tht rnoxin,orn o"noormt oF shncairr

__@qWY c,Jhr: cb C clrn hp <t o.zred by af"n e,rrt

IbeN c"f cL boaY ql l'tlo o(Lf ex cee d t'nj o lr.r1

4be elc!-fhC,tfroil-. ie coo-tled cp,{. ft-oof "

a_11 ^. 6V frtoro < G\/ otFl

e_E

ql l, e-d-g t' - .S hreXs. f+-d,rCeql <e]-

eJci-f"h'C \\'mi.l-c nnu4ufp5. of 4r"{hr(4\r rF- Vo lu rrr€- o f b"2 y /

GJ 6"*plud locad Jc q-{ t/r\ I o&a)

U SfruI fu"docO r-s OSl^rQl nlf'1€*+ {=ry

lr /*

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I o C t^d texs er{ \oa0 r'S h,r^whtr ol t4

*b@rf\ 4l-e fitedu*

lo @)

.:

- .,; subject Code: I 731 I

L

SUMMER. - 15 EXAMINATIONSModel Answer

o6/ P"

Page No: - _/ N

Q.NO( -t *l (t \o\ Ar\umnnli or\ i n

SOLUTIONlrerndinrr, ThecffU

MARKS

'r/

ir rhp €lcorli c tirni+ i<- nnl eMrpadQd" I /b'\\/iir fhe hpnrm iflLidllu $'rcrioht nrnA rrrrrlnrrt(t-dJA'

f rn/

d",^/ii\ Prt t.[^ \ nnai huJ\vrcr[ hr mtfla/nJ cM conlrd Lt-ir krt t

r\'fr

Rn{7

/ t '-l \ . : -

in'\tnprnckl'lv Fvrrflf'r €rlmd AFhW IorrpM "

I

Fo tr,nr----7- lllirr\ Tho "r((rlltlnn\- 0-.wrp nrLnil\ -\xom\\/e/Y\f c,pcHcm o1-,hVrt

/ I rl\_

hecu{n is -/l.rrn,\

I

(,l

rl) f h p m6lece6..l of tf U f ug.a$ ''.s

h-ornaeeret

-ou9 .om"l iSc)trtJ?ic,

\ ii) lOUmSVern<e Sech'crn of 'Flre beco/.n cdhl'cl:

P\cerfie @+fw ttrL u^\tnnJriii ) 4be- beuo,m r's stnregsedu uoell uPto

?,uo?orh'crnel \r'rntf euch thc{+, il rnustob€YS \-l oo K e's \.4t 3 ,

ixl tbe vo-.lue aF YotmS's rnoclulu9 (Ef-- o /'t -/'

t'f gam 1 *n tem etcrrt *rt''d ir.:. c"mk{tr,k' D,

fr,

tf, OemcJtnnq dul r}-l -, €a ,,- E nl lvl

€ be4r.e- R-)a

1G- m,L.oFs't h*ru vgl> tbe- ce/nhrtm a{ (eL/r*cA, U

?"s:'CT

- -f -T"J- - -LNA - I*X ol yl

€A =- Bernel'l'ryl1 <hr-e{'- l''n 1 cLye.r co+-.a{ .V

drs+-) V' s]

o7l?pSubjectCode: l}3ll

SUMMER - 15 EXAMINATIONSModel Answer Page No:

SOLIJTION VIARKS

= {rllr*orn ce o f *be f ctVerf €rom the_ N _

crli tbe , beco-m. Craass ?. se- U1'cfd)

E : rrl o.Jolu-g "€ , e)*gre$g,'

= R*o]tvs o f" c.crurzco"f-..ae c,F bent .l- u

%ry =l't1;u

bl,g3 gw

Ccr"nS{d aT cq- tfi^o/nRolE sEcHc.o n f bao-de

b o.nol brAhl h cqr s ho,.r-n t"n fr,q +hssej, tb'rr.ru&-h the- cen la'o iJ 6, *J , cq

tT) tbe- b.o-fg

ntrD

+bh

'l h€ rn a40, S h ea,r s |o.xs . o c.rr. co,f cq cl t,s

Subject Code: f ? 3l )

SUMMER_ 15 EXAMINATIONModel Answer Page hro'-S/?D

Subject Code:SUMMER- 15 EXAMINATION

Model Answer PageNo t q/goSOLUTION

ii! Or'rtqncu ol (cnnroid fruyOdtrclocrrBA

[= lstox I tS f t*ooxgo+ Uoox 3tlsoo +a6o vf r.t oo

frD ro Fin,) In/30Fsb3 ? $ rnrnl

h t = 66*'19*-. 4l,Huu hFal'7?hntvr

Subject Code:SUMMER- 15 EXAMINATION

Model Answer Page No J2-!3o N

SOLUTION

= l3o Y ?s3 r x4.6,? )c r.S rnr,{

1

T. -, GoX ?# P,7c. \ x r o3 *..J1

lxx3 z lef0sft= Bls.ixtca+uo0xGlB'

ot Tnvnl

S; F,A;+ Tr n3+ 3-q qu? xr 06

Subject Code:SUMMER - 15 EXAMINATIOI\

Model Answer Page No , I lJ3o N

SOLUTION

6oomr\

6oomn

-. 6oo X 6oo

hu: f Bo ooo rnyn

x6oo : 4oornrq j = TY = L,o rnrn

T_ ^ Ar \* 04r- 1 Soooo X lloo 1 I Sooos X8o o

Art AL (tqooo + lSooot)

\0-I.f Y 1f ,Bz\ t_

v=

subject code: **'" SUMMER - lsI'xAMrNATroN

Page No, -tL!3u N

a.No SOLUTION MARKS

*L (b,)T v\^r F n (:. * A,* I + "[- T^ .]* a^ *1

Cont- L- I --r f 1 l_,-"u I -'(l"=l

F' [-c"oox6o# r rrnnt\n ,. rrr]I r- -r $ ,- n-A

L lz- '\J _Jr -lr

6oo)6og- tR o.'..,, x ,.',,'ro'1

L lL )

ol tvr/,

\i'l\ M.T 6 \r-u G qryrit

T.,., Fi l'1.\ o[ ]"r idfno l? rh 151 hrcue +H'L dt r\ic-uno\r 6) G) bcrr

Iu*r.Ar bI^P r b# otll(u/lL

J,qv : bh'\f,

T , ^.. '- 600X 6oa3-)D'- X Y -

6

1r,r F rl rL v,,lo rn\ml otl\,/

-f

\j.

Subject Code: 'f 73llSUMME,R - 15 EXAMINATIOI\

Model Answer Page lrlo , -l 3 lZt

RD=

Subject Code: t?: t t

SUMMER _ 15 EXAMINIATIONModel Answer Page No , -rl-Jgo N

Draw stress-strain curvelmportant points on it.

F&ffiT"ilffifuH Fil_"&ffi,TH# ,f

#'%F rr'u"h ffi'fiffi$$*

$J$.*$ffiffirt,n

gffimr*fu&ffi,T#

'Y'[ffi$d

$tr'#ffi$ffi o *ffi n,*i,m nru ff gfre **$f,ffi fiffi

I

I

I

I

I

I

I

I

I

ffi #imgrune ffi r. ri"ffift''T-x#mml,#tr.#ffiffi-

,mtrmfrmri d ffi',ffitrffit?#

,ia

r'hfi,ffi H€*ff trffi ,ffit y.ffiw*ffi,fih

{ ffi '#'ffi "#kl*ffi ffitF ,.ff'.ffi m ff

fffi#ffu#ffiF

sErmii*?

ilimw,mtr r#-rmffiffi

Qyniect Code: l?3 I I

SUMMER_ 15 EXAMINATIONModel Answer Page No: l! 3o

a.h{o SOLIJTION

si(q

ve t D'E./rn,q ' t R't /B\ \ D'u Attt{

-Lpxlooo , LP XISD? Lpxloooilt r. x ior

-1 ?oo X ? x lot -?t xto Y lol

ooo ? ?,ooD ?

\rx\0€ uxlo( rsx t0

f .zi8 x t, tr9

coYn flYr sJ\ u( in nclluxrLP= 16'l5 KI'f

l"niect Code:

SOLTJTION

s.l (q bcl/r

E5 ,F

E.

sf st(d - ar X II- v)* - rzSt-

i,1) 0ltq ol contvcl( = Tolol arrcq - bxcuot stcq

= lao ooD - lzs6'63

= tsg -lqx l# rnd-

6s € Es e

6c,

So0 X t#l?s.tg x lo3

Gs= l333X281),'6s : 3f .g? S r,l lr0Tn

l??rtSUMMER- 15 EXAMINATTON

Model Answer Page No: _J_L/ 3D

l"uiect Code: l?3t I

SUMMER_ 15 EXAMINATtrONModel Answer Page hro: -1il76

a.Nro | (1:so NlmfraLUrIoNIMARKS

rJ- 2 (t\rr il l*^r&

,/ 6r':/

,/,/ Cl - st.\e o t- n th€ = lst nnr6t ,/x f ^, r t(,, - Ao : .Sn N lYnftL

Go hl lrnrnF-l

q-3?s x tt( vnvY$

E = Lx tos Nl rnrnL ^L l-L - tr:,L3--e

Jv .J 6r'*6Vt[r= (l=_rlr\ olllLr

V E

Sv €, gots / I otflV LT IO5 Lr O /\ \l \,rJ

)

5v tSD X (.'g ,{ l nl tv\+

- V 14 tos

AV a 11 ccv t;\ nrlM.I

fv - G.ss v tAq )* f a.3?\ Y tn( )

u rnm3 ot 11

F '- Zv<( r -- r-lt\ olM-,r

)Yros = qr. ( r

,

olv\ol fv\

--.?

,/

UOgF.\r

-,50 -.86o" g?6

t

K: tgG*o?8X t0B Nl ImynL

Q"biect Code: l?3llST]MMER - 15 EXAMIhIATIOhI

Model Answer PageNorlU3D

SOLIJTION

h 01 -rrr t( r f ;6 f o

rs ? F. 3xto3 ?h 9,xrLv

C : |r113'SfS

Subject Code:SUMMER_ 15 EXAMINATION

Model Answer Page No , -ly J3o

t-,*tTl

- ?'8 X lo6

SV - 6rtl6q t Lz- r, -

Szpo q 3X 608

.1 I 8z' Ll

3.3 ?S X lo tl

L7.Q,o3S X (ft(l'- LtL & (f rF Lxo.za

Subject Code:SUMMER_ 15 EXAMINATION

Model Answer Page No, -'Uj3ol?3r)

.t*."" SUMMER_ 15 EXAMINATIONSubject Code: l+31) ; Model Answer PageNor SJ3D-a.No SOLIJTIONI MARKS

( t-c f)- TTT I R'Fr\ ocot t ui fthron'"//

i\ M* r o/!

),\ l'1 n 1F n,/

ii\ Tr4rf e?x? -- (lATIX l/ \/

Mr F ntl'kNffnry

cllrt

iv\' l\- f r I ' I t

b^ o - ALx I :- :LKNI lVrr)

i

qf(o-iT) \.t o t- B.fr\ .D

?,ll Kil\Tq5 o ItFl

A #4 n(^Y-n , A

T cot t

KBl/

1F{Blr3rn h lnn y lff)4'1 1'/

^ r rrt\l. bofrrt

'It\ r

tvc ) 6K}l

q.G, n o 2I1

-v(4eKi f qw \t

6 zkn, , -r/'\rr

ltA nr\\n'

,/ \6?'Kt\\l\\

[4,]r1-D

,rnt\ rn t''\ ozn

\ 11 oKNlrl+vc

Ja -y)

Subjecr Cod e:;lJ,$jL$UMME.R .- 15 ItrXAMINATI$N

Motlet Anqly;gU Pagci{or HS,''

-

6)of:Oi-li$..t+::o..o.g:.\<i:

oo)3ao,q):f5o-l{r-lo35'r+a(d'i.,o3

luotect cotrc: JrBj-L SUMMER * 15 DXAMII{ATIOhIPngeNo,93uModel Ansrver

|Fa-F-

u! (, = g.6* 2o **1o,4 l,{

iunst )t;aj o-f ,R s- ^ lo- 4 + frs ? a Hdq,

i7g

cn F ,fr*frg : g =' g,6yq5:8 = Po,B $

1fro fillrr)

r) ar0

E f;alto = fioo14v!,

aXJ)'- I k =',fi

fr78fln* fi1* =o

-- fr**4 E flefrAN.fl^ = 7Sf 4*2e/'4X2 = l|o4n,e Rn*.g- 4oysxe =79X4-*:flox9x4 = -4o t<N

.:

oofo-l0)t+oo.ooq)

3ao0):JJo.l{r-lo3

='t-f.g.(ot',o3

Subject Code3 j T6jL

SUMMER ... 15 EXAMINATIONPageN:or Y/"uModel An.srver

SUFTMBR .- 15 EXA*IINATIONsubj,eetcod *rit6jt MpdPl Aits,ty:*:f

sotIrTI,oH r

TneA =o-+- lo{fr.-aw

ft 7,fi' fn . c*,lcrrloj;, " n;= /nfr = ? iI N'ff'

'*,fty'L = *li, ?I 27--4al<f'fr

Hgomnd

S =4h#

;r\6 "'e aqy-vPg-ftiAned #a

ti'7 f,4a*irn-rffi) &

g:

Pngenn'}/]oSUMMEIT - 15 EXAMINATIONSubjecr CotI ur:lJZlL

oo:lo"t.$--+oo.C'

o:q)

3ao$f:fo-l-{t-lo3

='r+9,(ot,o3

Model A.n$rver

oo=)Oi-li$,:J+.ooq<.o0),3ao0)

=f,o-l{t-to3

='r+9,(oi-,o3

subject r s u,ii6f* SUMMER - 15 EXAMI,NATIONModel An.swer Pageru o, p/Zo

$:

SOTUTION

LVeyT . ^h = 9,7arvrT). 19 =, Igol+ht - Trzau € 6-1 3.

Jfto{ tE" I"/s k7rc4 .ggoy

g7 Fo

-* 3 .-t q91,7

3.13

A,/

59*E8 x,isrnm*

EIA1<)

L , *r7U,

/3oylSo,a-$

oofo-ts)J-+.oo.(t

og)

3aoo)

=:fo-l-{r-lo3

='t+9.(ot)o3

Subject Code:J/SJaStlilt*lilR - lS EIL\ILIIN*\TISN

III:adel Ansrroer ;.;-Ns: g!"n

.-%L

SOLUTION

ivrr;.. n -F- #oCIIe = {rn X}*m*.-.-.-X:

i;

l-+ o{" *

L*i 2

i-€74l"+- 4{

ffi",9,f-4

T",ffi.t7

ooJo-f$+oo.ct

o$3uo$ffo".t{t-lo35',t+9,(oi',o3

Srrbjert Cotle: j 7.FJ y*$|IJMMNH - 15 TiXAMTNATION

i ?; Moclcl Answe,n

SOLUTION

rns, I'I or$ 3D

t+

oo:fo-lo)+oo.cr

og)

3ao0)fJo-l{t-lo3

='--.F

9,(oi',ortJ

Subjret Cort u,,I?6lLSUIV{MII,R * 1,S' BXAM I NATIOI\I

M,qll"pl An,*lY,eq PageNo:-f-V3D

SOTUTION

Gfvefi "fi x g,{m *l* 1,

'-lx./f

l) Arro e

A = 4so:8

'97 *olurn* rl zo/

V = ,7g6,&osxt{'{/n3

67 ,e*ye

4eo'BT

&a-'txtF

y) =, r rql.T2 ll,??rr" : .96, I8 N'rv oz-detl.

786-6oSVrf

;r'J*/;e

67 Lh

fl, lNtg'f