Post on 03-Apr-2018
7/29/2019 Reinforced Concrete Columns unit 107
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4>8% Ragecjrfao Fjefrata Fjiules
Ragecjrfao fjefrata fjiules ldy ba ogvgoao getj twj fdtahjrgas0 -4' fjiules
wgtm d puraiy fjefaetrgf ijdo -ej ljlaet' deo -2' fjiules fdrrygeh affaetrgf
ijdos% D brjdoar edla cjr fjiules gs d fjlprassgje lalbards ijeh ds tma
ojlgedet ijdo aaft gs dxgdi fjlprassgje% Fjiules ldy ba fjesgoarao
"smjrt" jr "ijeh)" bdsao je tma siaeoareass rdtgj jc tma fjiule% Cjr laogul
deo ijeh fjiules) bufkigeh jr tma taeoaefy tj bufkia ldy oglgegsm tma ijdo
fdpdfgty jc tma fjiule%
Fjefrata fjiules dra ragecjrfao wgtm -4' ijehgtuogedi ragecjrfalaet deoidtardi tgas) -2' ijehgtuogedi ragecjrfalaet deo d fjetgeujus spgrdi) jr -6'
strufturdi staai smdpas) wgtm jr wgtmjut doogtgjedi ijehgtuogedi bdrs%
4>8%4% Hugoaigeas je Ijehgtuogedi Ragecjrfalaet
_ma ldge ragecjrfalaet ge fjefrata fjiules fjesgsts jc oacjrlao bdrs
drrdehao ge d raftdehuidr jr fgrfuidr pdttare% Xmae ijehgtuogedi bdrs dra
aefijsao by raftdehuidr jr fgrfuidr tgas) dt iadst cjur ijehgtuogedi bdrs smjuio
ba usao) wmgia dt iadst sgx bdrs dra eaaoao gc fjeffleao by d fjetgeujus spgrdi%
_ma ragecjrfalaet rdtgj) bdsao je tma hrjss drad) lust ba
batwaae 4! deo =!%
Cjr tgao fjiules) faetar,tj,faetar spdfgeh jc tgas smjuio ejt ba hradtar tmde
43 tglas tma ijehgtuogedi bdr ogdlatar) ?= tglas tma tga bdr ogdlatar) ejr tma
iadst fjiule oglaesgje% _gas lust ba dt iadst Ej% 6 bdrs wmae ijehgtuogedibdrs dra Ej% 4> jr sldiiar% _gas lust ba dt iadst Ej% ? sgza wmae ijehgtuogedi
bdrs dra Ej% 44 jr idrhar% Fiadr ogstdefa batwaae ijehgtuogedi bdrs lust ba
dt iadst 4%1 tglas tma bdr ogdlatar jr 4%1 ge% Fiadr fjvar tj ijehgtuogedi
Ragecjrfao Fjefrata Fjiules
http://accessengineeringlibrary.com/http://accessengineeringlibrary.com/http://accessengineeringlibrary.com/browse/civil-engineering-all-in-one-pe-exam-guide-breadth-and-depth-second-edition/c9780071787727ch107?UserEmailParamInPdfDownloadController=zak2139@gmail.com#p13n-login-panelhttp://accessengineeringlibrary.com/7/29/2019 Reinforced Concrete Columns unit 107
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ragecjrfalaet lust ba dt iadst 4%1 ge%
Cjr fjiules wmjsa ijehgtuogedi ragecjrfalaet gs fjeffleao by d fjetgeujus
spgrdi) tma fiadr ogstdefa batwaae spgrdis lust ba batwaae 4 ge deo 6 ge% _ma
lgeglul ogdlatar jc d spgrdi gs 6*= ge% _ma ldxglul pgtfm -s' jc tma spgrdi gs
tj ba fdifuidtao dffjrogeh tj
-4>8%4'
wmaraD < frjss,saftgjedi drad jc tma spgrdi
< rdtgj jc vjiula jc spgrdi staai tj vjiula jc fjra fjefrata 8%4% Fjra jc d spgrdiiy fjeffleao ragecjrfao fjefrata fjiule%
4>8%2% Vmjrt varsus Ijeh Fjiules
Ge brdfao -ejeswdy' crdlas) d fjiule gs fjesgoarao "smjrt" -g%a%) aafts jc
siaeoareass ldy ba ghejrao' gc
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http://accessengineeringlibrary.com/browse/civil-engineering-all-in-one-pe-exam-guide-breadth-and-depth-second-edition/c9780071787727ch107#ch107fig017/29/2019 Reinforced Concrete Columns unit 107
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-4>8%2'
wmara L *L gs tma rdtgj jc tma sldiiar aeo ljlaet tj tma idrhar aeo
ljlaet -tj ba tdkae ej sldiiar tmde >%1'% _mgs rdtgj gs tdkae tj ba pjsgtgva gc
fjiule gs ge sgehia furvdtura deo eahdtgva gc tma fjiule gs ge ravarsa
furvdtura% Ge uebrdfao crdlas -swdy uegemgbgtao') d fjiule gs fjesgoarao"smjrt" gc
-4>8%6'
K gs tma aaftgva iaehtm cdftjr deo i gs tma uesuppjrtao iaehtm) tdkae ds
tma fiadr ogstdefa batwaae fljjr sidbs) badls) jr jtmar lalbars prjvgogehidtardi suppjrt%
Dffjrogeh tj prjvgsgjes ge DFG 64= Fmdp% 4> -DFG 64=) 2>>1) Bugiogeh Fjoa
Raqugralaets cjr Ragecjrfao Fjefrata) Dlargfde Fjefrata Gestgtuta)
Oatrjgt) Lgfmghde') tma aaftgva iaehtm cdftjr lust ba tdkae ds 4%> cjr
ejeswdy crdlas) ueiass d ijwar vdiua fde ba `ustgfflao by dediysgs% Cjr swdy
crdlas) K lust diwdys ba oatarlgeao by dediysgs% _ma rdogus jc hyrdtgje cjr
d raftdehuidr fjiule ldy ba tdkae ds >%6>m) wmara m gs tma fjiule
oglaesgje ge tma ograftgje ge wmgfm stdbgigty gs bageh fjesgoarao% Vglgidriy)
tma rdogus jc hyrdtgje cjr d fgrfuidr fjiule ldy ba tdkae ds >%21m% Vmjrt
fjiules ldy tmae ba curtmar subogvgoao getj twj hrjups0 -4' fjiules wgtm d
puraiy fjefaetrgf ijdo -ej ljlaet' deo -2' fjiules fdrrygeh affaetrgf ijdos%
4>8%6% Dxgdi Ijdo Fdpdfgty jc Vmjrt RF Fjiules
Avae cjr fjiules fdrrygeh ijdos wgtm "sldii" affaetrgfgty) tma DFG 64=
spafgfflfdtgjes diijw tma fdifuidtgje jc tma dxgdi ijdo fdpdfgty ds d
fjefaetrgfdiiy ijdoao fjiule% Ge jtmar wjros) gt diijws tma oasghear tj ghejra
tma rasuitgeh ljlaet je tma fjiule% _ma affaetrgfgty jc tma ijdo ldy ba
eahiaftao -g%a%) fjiule oasgheao cjr tma "dxgdi" ijdo jeiy' gc tma affaetrgfgty gs
iass tmde >%4>m cjr tgao fjiules jr >%>1m cjr spgrdi fjiules% _ma dxgdi ijdo
fdpdfgty jc smjrt) ragecjrfao fjefrata fjiule wgtm sldii affaetrgfgty gs hgvaeby
4 2
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-4>8%?'
wmgfm fde ba disj wrgttae ds
-4>8%1'
_ma cdftjrs deo dra hgvae ge _dbia 4>8%4%
_dbia 4>8%4% Oasghe Cdftjrs deo cjr Vmjrt Fjiules
Axdlpia 4>8%4
Xmdt gs tma sldiiast squdra RF fjiule tmdt fde fdrry tma cjiijwgeh dxgdiijdos:
^ < 2>> kgps
^ < ?>> kgps
Qsa < ?>>> psg deo c < 3>)>>> psg%
Vjiutgje _ma cdftjrao ijdo gs
Cjr sldiiast fjefrata saftgje) wa lust usa ldxglul parlgttao dljuet jc
staai% Dffjrogeh tj DFG) ldxglul ragecjrfalaet rdtgj < =!%
_gao Fjiule >%31 >%=>
Vpgrdi Fjiule >%8> >%=1
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http://accessengineeringlibrary.com/browse/civil-engineering-all-in-one-pe-exam-guide-breadth-and-depth-second-edition/c9780071787727ch107#ch107table017/29/2019 Reinforced Concrete Columns unit 107
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_mgs fjrraspjeos tj d 4?%3 4?%3 fjiule% Gc dvdgidbia fjiule sgzas dra ge
getahar gefmas) usa 41 ge 41 ge fjiule -D < 221 ge '%
Axdlpia 4>8%2
Xmdt gs tma idrhast cdftjrao ljlaet tmdt fde ba ghejrao ge tma oasghe jc d
squdra ragecjrfao fjefrata fjiule tmdt fdrrgas d cdftjrao fjlprassgje ijdo^ < 3>> kgps: _ma fjiule mds d 41 ge 41 ge frjss saftgje% Qsa c < ?>>>
psg deo c < 3>)>>> psg%
Vjiutgje D raftdehuidr fjiule wgii eafassdrgiy mdva idtardi fjefflealaet ge
tma cjrl jc tgas% _maracjra) dffjrogeh tj tma DFG) tma ldxglul affaetrgfgty
tmdt fde ba ghejrao gs aqudi tj >%4m < >%4 41 ge < 4%1 ge% _maracjra) tma
ldxglul cdftjrao ljlaet tmdt fde ba ghejrao gs
4>8%?% Fjiule Getardftgje Ogdhrdls
_ma ijdo fdpdfgty jc smjrt) ragecjrfao fjefrata fjiules wgtm sghegfflfdet
affaetrgfgty fde ba fdifuidtao usgeh fjiule getardftgje ogdhrdls% Cghuras
4>8%2 tmrjuhm 4>8%8 smjw d sdlpigeh jc fjiule getardftgje ogdhrdls cjrtmraa ogaraet typas jc ragecjrfao fjefrata fjiulesraftdehuidr wgtm
ragecjrfalaet je dii cjur cdfas) raftdehuidr wgtm ragecjrfalaet je twj
pdrdiiai cdfas) deo fgrfuidr% _ma ogdhrdls cjr tma fgrfuidr frjss saftgje ldy
ba usao cjr tgao deo spgrdi fjefflealaet) ds ijeh ds tma dpprjprgdta gs usao
->%31 cjr tgao deo >%8> cjr spgrdi'% _ma fmdrts dra fidssgfflao by tmraa
pdrdlatars0
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http://accessengineeringlibrary.com/browse/civil-engineering-all-in-one-pe-exam-guide-breadth-and-depth-second-edition/c9780071787727ch107#ch107fig07http://accessengineeringlibrary.com/browse/civil-engineering-all-in-one-pe-exam-guide-breadth-and-depth-second-edition/c9780071787727ch107#ch107fig027/29/2019 Reinforced Concrete Columns unit 107
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Cghura 4>8%2% Getardftgje ogdhrdl -raftdehuidr ?V) cf < ? ksg) cy < 3>
ksg) < >%3>'%
7/29/2019 Reinforced Concrete Columns unit 107
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Cghura 4>8%6% Getardftgje ogdhrdl -raftdehuidr ?V) cf < ? ksg) cy < 3>
ksg) < >%=>'%
7/29/2019 Reinforced Concrete Columns unit 107
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Cghura 4>8%?% Getardftgje ogdhrdl -raftdehuidr 2V) cf < ? ksg) cy < 3>
ksg) < >%3>'%
7/29/2019 Reinforced Concrete Columns unit 107
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Cghura 4>8%1% Getardftgje ogdhrdl -raftdehuidr 2V) cf < ? ksg) cy < 3>
ksg) < >%=>'%
7/29/2019 Reinforced Concrete Columns unit 107
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Cghura 4>8%3% Getardftgje ogdhrdl -fgrfuidr) cf < ? ksg) cy < 3> ksg) %3>'%
7/29/2019 Reinforced Concrete Columns unit 107
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Cghura 4>8%8% Getardftgje ogdhrdl -fgrfuidr) cf < ? ksg) cy < 3> ksg) %=>'%
7/29/2019 Reinforced Concrete Columns unit 107
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c 0 2=,ody fjlprassgje straehtm jc fjefrata
c 0 ygaio strass -taesgje' jc ragecjrfalaet staai
0 cdftjr raidtao tj fjvar tj ragecjrfalaet
_mara dra tmraa typas jc prjbials tmdt ldy ba sjivao usgeh tmasa ogdhrdls0
4% Hgvae d fjiule frjss saftgje -sgza deo ragecjrfalaet') wmdt gs tma
ldxglul affaetrgfgty jc d hgvae ijdo:
2% Hgvae de affaetrgf ijdo deo fjiule sgza) wmdt gs tma raqugrao
ragecjrfalaet:
6% Hgvae d fjiule frjss saftgje -sgza deo ragecjrfalaet') wmdt gs tma
ldxglul ijdo gc tma affaetrgfgty gs praoaffleao:
Axdlpia 4>8%6
D smjrt ragecjrfao fjefrata fjiule mds de 4= ge 4= ge frjss saftgje% Gt gs
ragecjrfao aqudiiy je dii cjur cdfas wgtm d tjtdi jc 42 Ej% 4> bdrs% _ma sarvgfa
iavai dxgdi ijdos dra ^ < 22> kgps) ^ < ?>> kgps% -Dssula c < ?>>> psg)
c < 3>)>>> psg%'
Xmdt gs tma ldxglul affaetrgfgty jc tma ijdo:
Vjiutgje _ma cdftjrao ijdo gs ^ < 4%2 22> + 4%3 ?>> < 7>? kgps%
Dssulgeh dpprjxgldtaiy 2 ge jc aaftgva fjvar) tma faetar,tj,faetar ogstdefa
batwaae pdrdiiai igeas jc ragecjrfalaet < 4= 2 2 < 4? ge% ^drdlatar %8=% Iat us usa tma ogdhrdl cjr c < ? ksg) c < 3> ksg) < >%=>%
Drad jc staaiD < 42 4%28 < 41%2? ge deo hrjss dradD < 4= 4= < 62?
ge
Qsgeh K < 4%>8 deo >%>?8 -vgsudi getarpjidtgje batwaae >%>? deo >%>1')
wa hat a*m >%41%
_maracjra) tma tjiardbia affaetrgfgty a< >%41m < 2%8 ge%
Axdlpia 4>8%?
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7/29/2019 Reinforced Concrete Columns unit 107
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Xmdt gs tma raqugrao ragecjrfalaet cjr d 2> ge 2> ge ragecjrfao fjefrata
fjiule -c < ?>>> psg) c < 3>)>>> psg' sub`aftao tj tma cjiijwgeh ijdos0
^ < 21> kgps) ^ < ?1> kgps% Dssula tma affaetrgfgty jc tma ijdo gs ? ge%
Vjiutgje
Affaetrgfgty gs hradtar tmde >%4m -? ge 5 >%4 2> ge'% _maracjra) tma fjiule
lust ba oasgheao cjr d fjlbgedtgje jc^ deo L -a*m < ?*2> < >%2>'%
Crjl tma fjiule getardftgje ogdhrdl) usgeh K < >%7= deo a*m < >%2) 8%1
D 2> ge 2> ge ragecjrfao fjefrata fjiule -c < ?>>> psg) c < 3>)>>> psg' gs
sub`aftao tj de affaetrgf ijdo% _ma affaetrgfgty jc tma ijdo gs 3 ge% _ma
fjiule gs ragecjrfao wgtm 42 Ej% 44 bdrs ogstrgbutao aqudiiy je dii ? cdfas%
Xmdt gs tma ldxglul cdftjrao ijdo tmdt tma fjiule fde fdrry:
Vjiutgje Affaetrgfgty gs hradtar tmde >%4m -3 ge 5 >%4 2> ge'% _maracjra) tma
fjiule lust ba oasgheao cjr d fjlbgedtgje jc^ deo L -a*m < 3*2> %6>'%
Drad jc staaiD < 42 4%13 < 4=%82 ge deo hrjss dradD < 2> 2> < ?>>
ge
Dssulgeh dpprjxgldtaiy 2 ge jc aaftgva fjvar) tma faetar,tj,faetar ogstdefa
batwaae pdrdiiai igeas jc ragecjrfalaet < 2> 2 2 < 43 ge%
Iat us usa tma ogdhrdl cjr c < ? ksg) c < 3> ksg) < >%=>% Crjl tma fjiule
getardftgje ogdhrdl) cjr a*m < >%6> deo < ?%8!) K < >%830
f y
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f y
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7/29/2019 Reinforced Concrete Columns unit 107
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4>8%1% Ijeh Fjiules
Xmae d ragecjrfao fjefrata fjiule ojas ejt laat tma frgtargd cjr smjrt
fjiules) gts siaeoareass rdtgj lust ba usao tj oatarlgea tma ijdo fdpdfgty jc
tma fjiule% _ma DFG spafgfflfdtgjes prasfrgba tma usa jc d ljlaet ldhegfflar
tj oatarlgea tma oasghe ljlaet cjr ijeh fjiules% _ma Auiar bufkigeh ijdo jc
tma fjiule gs hgvae by
-4>8%3'
wmara AG< >%21A G
_ma dediysgs deo oasghe jc ijeh fjiules fde ba brjdoiy tradtao ds tmraa
sapdrdta fdsas0
4>8%1%4% Fjefaetrgfdiiy Ijdoao Ijeh Fjiules -a < >'
Cjr fjefaetrgfdiiy ijdoao fjiules) tma DFG spafgfflfdtgjes raqugra tma fjiule
ba oasgheao cjr d lgeglul oasghe affaetrgfgty -a ) ge' hgvae by
-4>8%8'
Bjtm aeo ljlaets dra dssulao tj ba
-4>8%='
_ma ldhegfflao oasghe ljlaet cjr tma fjiule gs tmae hgvae by
-4>8%7'
f h
lge
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wmara ^ < Auiar frgtgfdi ijdo hgvae by Aq% -4>8%3'%
^ deo L dra tmae usao ds geputs getj de dpprjprgdta fjiule straehtm,
getardftgje ogdhrdl%
4>8%1%2% Affaetrgfdiiy Ijdoao Fjiules ge Ejeswdy Crdlas
Cjr ejeswdy crdlas wgtm aeo ljlaet L hradtar tmde tma lgeglul vdiua
^ a ) tma ldhegfflao ljlaet gs fdifuidtao ds
-4>8%4>'
wmara tma ejeswdy ljlaet ldhegfflar gs hgvae ds
-4>8%44'
-4>8%42'
wmara L *L gs tma rdtgj jc tma sldiiar aeo ljlaet tj tma idrhar aeo
ljlaet -tj ba tdkae ej sldiiar tmde >%1'% _mgs rdtgj gs tdkae tj ba pjsgtgva
gc fjiule gs ge sgehia furvdtura deo eahdtgva gc tma fjiule gs ge ravarsa
furvdtura%
4>8%1%6% Affaetrgfdiiy Ijdoao Fjiules ge Vwdy Crdlas
Cjr swdy crdlas) tma twj cdftjrao aeo ljlaets cjr d fjiule dra fdifuidtao
ds
-4>8%46d'
-4>8%46b'
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http://accessengineeringlibrary.com/browse/civil-engineering-all-in-one-pe-exam-guide-breadth-and-depth-second-edition/c9780071787727ch107#ch107eqn067/29/2019 Reinforced Concrete Columns unit 107
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Fjpyrghmt LfHrdw,Mgii Aoufdtgje% Dii rghmts rasarvao%
Fustjlar rgvdfy Ejtgfa% Dey usa gs sub`aft tj tma _arls jc Qsa) rgvdfy Ejtgfa deo
fjpyrghmt gecjrldtgje%
Cjr curtmar gecjrldtgje dbjut tmgs sgta) fjetdft us%
Oasgheao deo bugit usgeh Vfjidrgs by Valdetgfj%
_mgs prjouft gefjrpjrdtas pdrt jc tma jpae sjurfa ^rjth systal% rjth gs
dvdgidbia dt mttp0**prjtaha%stdecjro%aou**
_ma DFG fjoa parlgts tmraa ogaraet latmjos cjr fdifuidtgeh tmasa ldhegfflao
swdy ljlaets) dii jc wmgfm dra cdgriy idbjr getaesgva) oua tj tma cdft tmdt dii
fjiules je d pdrtgfuidr stjry lust sgoaswdy tjhatmar ge jroar cjr tma stjry
tj sgoaswdy% _mgs hrjup dftgje lust tmaracjra ba fjesgoarao ge jroar tj
fdifuidta tma ljlaet ldhegfflfdtgje cdftjrs%
Fgtdtgje
Geordegi Hjswdlg0 Fgvgi Aehgeaargeh Dii,Ge,Jea ^A Axdl Hugoa0 Bradotm deo Oaptm)
Vafjeo Aogtgje% Ragecjrfao Fjefrata Fjiules) Fmdptar -LfHrdw,Mgii ^rjcassgjedi)
2>42') DffassAehgeaargeh
A]^JR_
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