UNIT-IVD6ion.f RC.Ele erts

l.How ao yow.|.$it y 6tuhn a3 .h.rt otumn(x.y/Ju..2oo7)lS 4s6 clartfies

ctangutarotumns Es shorr.otumn when the Eflo of efre.tveb.gtn 0eff) to the te*t tateGt drmenston ts tss then 12, rne ratio is @[ed stendedes6tro ol @lumn. rt t E @tumn ts of dtmenston bxD,

srendemess 6 0 about najor axrs -tevD

slenderness 6Uo nhout najor ai's rteylDIl any of these two 6tlo ts eqlat to or moe than 12,tt l, @lled a stende.6trnn. rr

both stdes6E tsthan 12,.tttsa short cotimn:2.wrlt..hort not . on 6r...d cotumn (ir.y/Jun.2ooe)

h hll burldhos, tareEt supports lke shefual 6n be p@tded $ rhat the tateEtloads aE taken by them. su.h @lumnsaecled hE@d @tumn.3.Dnn6 snt-5xirr D6,dt,s(NoviD;2biei

C.lumn such as the externatcotumn offEmed bu dtnqs orcotuBns crrytno craneload thbush cbels of a @tomn aE nor onty to d,re.r l@d (p),bu! atso the homenis du toth e(enhJclty ln.pplictlon of the toad. rn the above corumns the eeenrrrcrty is wtrhrespect to one axisonly and these otrmns are said to be under unldxlalbendtng.4.uniaxlal bending :nd bhn.t lrending( .y/rum)

iworiaRKs

uniaxl3l bEndinq:rn above rhe.6rumnathe eccentndtv is wi$ respect to on_.axis onry and the @tumns are saidto be under untaxtat bendtns

s,Olfferntlat between short 6thn .nd tory .otunr(l{.yrune2oo7)Shortcolunnr The perhi$tbte t@d for coluhns wrrh heliGtd Etnfomment.ha[ b.1.o5tim*the permtsstbte toad for stmitar member with tateratdimenston.

The ratlo of volume ol heti@t EtnfoEemeniofthe wtume of the core shal nor b tes than

blaxial bendinq:a corner stumn ofabuildrng is subje.ted to eccehtrtc toadalons b.th thex and yaxtssuch@iuinns a.e said !6 be underbtaxlat

0,16(49/.( .r ) (ck/ry)msibtesxesi in a Ernrorced o.rcrete @tumn orpan

::",':,i:fl li"";iiTSnTJ::fl '#t""Tl,T"i::il:::,,",::,,T"":;,i*l:"""1,-*ls."r'ut I"

-ru-nr [btls< roD. ,When d membd @rrvhg a{aload IrveriGtand havhg an effe.trve t6nsrhdceeding tnree n6 rhe h4t tateEt d mens,on E @Ied as cotumn,.daseiy rn catuhB ba*d on type of to.ding and tranw.E reintor .em. ?. .

@umn cn be ddjfied rnro rheryps b:sed on toadtng, @rumn wtth axta|loadindr) rcruonwrtx unr.yrar e(;ntri. r.:dh"rrr) 6rufi n wtth btarrat e@nHc t@dtno

rhe6rmm a@rdrns ro r.lsv;ce *,".*.""r." _,"r""..

ii)sptEtorheleta.wh.t l. utatty toad.d @tlmtr? (or) wr[..tort rt . or .d.r,lo.d.d 6tunr.An axt.t toaded erumn rrdremiLs rhe complBtve foae wtlhour an explardes,gnEqurrement to crry taE6t,oaas or e.a mo-..r

(or),. .

when the Jrne .ctEn of toad pas* tFrouqh trom cenrE of 96vrty ot catumn I ts

g.sh.t t. e.nrtaly toad.d @trmn? /orwrtt .hort not , on e.ntrtca y to.dedcolumr.-- -

An lo.ded etumn rEsn,re rhe comprestle rorce w,tl an qptEt dBtgnrequ,remeirro crry tateE toads orend moments(o.)

.

when rhe lne ofacl,on 6r toad oas

' i) arallold may hav naturdt e.entdcltes breuqh salt ryith Eprt ro lorh rherD@mer @luhns of a botldtng may be subleded to b.nding m@nts In bour the

dlre.tlon along wrth aral load14..t t6 th. @d.l l.@'m.ndrlld tor .tsndm llmttt ,.. otu n.?

l)The u@rpdted lenoth btv*n tiE end E tr.tnts shal not rced 60 um6 t Eleast late6l dlnensron ola @lumn,

ll) yln any d* one end of. @lumn rs lnEstEtned tt lGupported tengt. shoutdrct deed roo brd wh4 b and d .e wtdh .nd deput or clw *dton m..$Ed tn ,tae

$..r.t tfi. mlnl ur .@ndctty to s.td.r.d nor @r!mn d..lgn?r4rnrmum e@ntndry Gml.) ={ totsoo + d/30) but tes tnrn 20nfr

WheE, t!)un$pported tengthdrlat El dln6!i.n ln b.ndtnl

3

ii

16,.b zoMEi&e{

tlifrn\i!!^ O:zedt icrhf bntl, . J=. n l_ a,t

talp.rqo qirne,lzion &1?A9T-B

t.

I

,tu ttDrr+F,*ed 4ehddlat ced 1C,:, ,b_. oterc b ard

'r? EIr.rD:-

\,;n ,,,,,*"

t-50' 2*

(i) aoan*eh;

. ero,so,ria^0.05h

= o.oS x 4so

- .

"ak sonnnY.- @ < D,osh

..-*

* .l tg,- &l.a-_ E?= o*"orouAc t bqr{a

.f e,o.n^6 A+ =A,,,

"l' ;;":0,.t =

, _=L=

2,o.sDb+n61

= 2159.n|!Yno_

oi .ra"+trtl -

a_ .,e

= ,llozsoo

_ 2Jaa: ttqqEa %lhze.

= e!.&o 66+ ^t

P,- =

ro,,c,65414,rg

HEsul"r ---

Ar: o 40x ?,o ytqliqrg + a.6+ x r,Eo I a,s li,:l5qq1D4 r.+&o160

tk ultiw+Iz /.od, qg1 1N*

sDLll-rIoN..-

tso

*:y o'n u *'i,^tZ**,#=* -o'ob3----),2^^",

tu.rl&, 6 '4 4!t '}

plo"fu gbqr* "l a o,r*y &b$rlb tt-qt r.4l +.,n - *" aa Lzstz Ytln[\ -

:^^ q* ahlX 2t_ a|t t!5 +L,1.ci) t4, d;dmuttL 1 tbzl]rn;.el Lata

=Voynri ) s",,". .

= sa,tn

.

.;) Atao, 4 """b"_"r,,t *Ari"_1

',rlffffii::,'ldu,,,,.g z zs +n,to".* *rjui u":ffi:#:_* 46,!d Fe4,s a&d2 e"h{ ,_j'""V NrDo e,a..(!/.zL

RESULT ).

u'rrvEM 9nrflt-

I .to

Fs* ^

1,{r,a\L A!.t b^

kaX.fi LL) =

z.tsanAa.;rI hod

-thoo t1NULL Mz.o aoh! it

- onA" Fe +ts ahrl

F,no itl.* 4*ln*,^

SOLUTIoa,,.-

ffi"*ruruxXX1a,,"*i",X zt-a+*l,

Abf"""fL h"A- ptL : o.

!.I -l^notlr4t +^s/rtwrx +254\4^rqinhvw,** L $- g.dL- .tLi) z,o,^,1^ .

.i,) !* Lba' *o

s\ tsob2s,q.nL

Aaaa, fl atul . cz.,$'!- oy rzhlt

"ti " tu*. Crr o B zs - Asc),yyryrqF*

= o 46,1"* fiL.ro,L+l3asL :r4ooxos

t445t to3 - I h scl +, I E, os Asc .- A4 oox t oa

zao.o5n6c:gS5xloaAec

= 16g5.4^n*rz

t ba'6 4 Ls,n,rn Jid/yrula^ @qzsd;1;t

ti') r+t i,a.,whJ. 4 1"ry;ua";S- Lu =,r**"u.1l*u,L

s 4nm I L;Lffi:3 1.*.*4 a,wt,r-.d..t;) Llq,tt la.hi"t

'n t,r" aa""*^ iffi,j,@ =n*,*nc,;,i) a8x d.iarw!,ar1

= asx. - 4,o,to -cD=ooolan -zs+'r. --fv.o\\1iL srn^t,.y lrtt @ loo,v,rh t-

--- 4'15 ' T'l"ieuLo

r-,j*"1

0ltel oern.-

o'a(.k Bcio.6?& fu", z:so rro3l. 05

/z;l- ,rod, =

rsoohir.L,l-) : &.so,m-

u& ltao Ja|(nrir arnd, pe+rs d&/.9ou.trroN:-

l,t tfu- .d;w"4r'r, a+ t'," {aL,4, ,/" t ., .*T y i'- 44. \ral4n?L:6ai-,,D!-t\A^;A;y

"./, &tr,l, +A:,:

=o. 02 Atfu*u 4 db\\rrl- , A"

=ni_o.oze7

",,;_h r..d,;..1:3",.",

w+\,d,,,v^,,ffii***#,yPa : I, og (o,?-tEk tuc i o.6l ds nso

.".-\

6

o.4x yo.gan?ro.6+y4ls to,oas?: 2.sLEo>r to3' l.ds

15,-4ol n9 :: 2r5rtlO3,,os

e?. tsqtor.,+a4n'r2

l: =

tsqqoa,?,

O =

,+5 t .a,r6an .

m c,, &ir.r,ctri. e& 4so*,,n qdL +!l

ffi"ffi t^*y" t, +l- t^t *}.dt^^qd^e c.a(llr'{ t&r& rz,.

-. rLir ri 4 xlad q.d,,,,,,nL

!i) 2o,y\drrii) * oqo5 - 3.- * ::i = *oanan

e*i =zcnnvn

o- 05o ! o, ost 45O: q,t,.5,yn7yt

e*.,i, ..- o , oso .

W:t7* t"qa 4,,-e- ,aa**;: r.os C6.+fck Ac+ o.Ally tu.).o'rrau

.{r{a 4 +l_ "A,"^^M +,t",t.^".A* 4'o*"t

=r.,: rs9r4a. ra-tsc

;T;.f:;:Y,.',=iza2hah,Di,r..rl*

^, ,o I ' ' FM "t"d .*-%"hfu;NT,e"r,

"{ & ,-". =

. --

r Na '9

- -u-\2x4o) + Lzxr)

-:-- -L r385/h4nh .

aa,sor t; =

r,os(o.4!t,Asr043.r3_rs.) +Ase:

=ael.J,.ayz ' "'"o LfiA'r\g

p(: t,osao.+xr-6arEqo-r.- - -

2,4\o : A,z- '" rFq+b'Lrt+tso,J

s3s6 -B

o.'aoorh_n ^.r .! . -'"h".'r

".^,._ i'rL.ffII;:::!?"* o *

@4""'-s Pa*&.rLqr .& -,:b"l fli.a+ io p &;l k^a;"

t'utuL ,/orl*l4 . Tl,{ 6 Uo., (r*"1w, a".l8,b" 4 tl-

"r.d"r"n 4,,otr rn y ADo4ntrl,ta^tv2ft- ai,L . Mebffif;,ffiA".,-!*.,,.,-t.o,",h*rF*b\nJ {e-i,,*

= rsarnr,fl

ffiffi,il: dk ud!\)u,,\an a.;,,,*.& ;; -o'r3

tif^r1 ti^, "

, 6,{,.".^j ro J.".,a,,

*s&l, L2+rz.n *,

,b &" "g4ur- Je-e,.

,(h

4"" =l:1, o*+"o.

root1"

Ea. -

7Le.b.L.6h, .

D6lon of R.C.ElefrntstwoitaRl(s

l.How do Yow .la$lfcy @ludn as shora .olrmn(Uav/'lnzooD ?'z.wlt 3hon notE otr b6edoludn ( nvlrun.2oog) ll3.Deflr. qnl-5xlat b.ndlng( d/D@2o09) ?|4.Differ.ntlat tEtwocn gnl.nal b.ndlry atd bl.xl.l l,'ndi8(MavlJqn') f's.Drll.r.rd.t betw..n.ho.t @lrmtr and lons @lumn(M.vl1tn12oo7) ?t6.wh.t i'.olumn? fr-r\E{r.rr7,.la..llY th. @tumr3 based on tvp. or bidlng .nd tr:ndeB t'lnlo'en'l|t'l f!a.wh.t l. .xlrllY lcd.d 6lumn? (o.) w.it .hon nd or r:l.llv totd'd 6lunn' P !g.wh.t tt.@.rlallv lo.d.d olim? ,'or srlt shon not" cn 4"ntrLtllv lo'd6d

to.wh.t ls !nbr..ed @l!mn? (or)1l.what i. unlaxlal b.n.Ihg? (G)

wrlt shon hot u on untra.cd 6l!mn ?2wrn .h6rt hot6 on rnlail.l b.trding

12.what l. blsxlal bGnding ? (or) wrtt.3hon not. on bl.n.l b'hdlngl3.underwhich Gondltlor a 6lomr i. deslgnd wlth tal lo'd ttrd blaxitlbending? h14.5t.te thc .od.l r..omfrchdstion ror .l.nderne$ liriB lor GoluBns? P315.st.te th minifrum eccenkl.itv to .orcldred ror .oludn d'sign? tJ

!t'N,,''4.

1. A short R.cc 6lunn 4s0hmx450hn l elnlorced wlth 8 b.u 6f 20nm dianeter. Theefieclrveleru ofthe col!6n is 2.75m\lind th. ultimate load for tho @lumn. use M20.on.r.r.andF.2to{..1. ut\x"r }..r - ?4). A relnfo@d Loncrete column h 450mmx4mmm and has tocr'ry a fadored loadof18001(N. The unsqported lensth of th mlumn is 2h. Find the area of reinfo@mentrequlred. Use M2o @ncrete and ter5o steel l$ lN.6 .r,t - PL

3. A relnfored concr*e column ol2.75m efiective length cardes an lal load oa 160oxN..

Desrm the cotu m n usl na M2O @ncrete an d Fe41s steel Nolk- -B1+i4. Dengn a dEul.r6lum; to.arry an aiialload of lsool(N. fte column has dn eff