as tbrm lb星. columll a 【ld sl [vc ... 九州 大 学 大 学 院 人 間環 境 学研 究院 ..... ArchrtecturalInstrtute of. Japan x"E>x>. Fig. 1.4 t.4. 14. 12. 1.2. 1,2. 1. 1. 1 es og.
Architectural Arohiteotural
Institute エnstitute of of Japan Japan
ーII】
【カ テ
.
構 造 系 論文 集 第547号 , 129−136 , 2001 年 9 月 J. Strucし Constr. Eng . , AIJ, No . 54ア, 129−136, Sep. ,2001
ゴ リ
日 本 建 築 学会
R / RESISTING PERFORMANCE C COLUMNS CONFINED BY SQUARE STEELOF TUBES
EARTHQUAKE
−
Part 3 (
Effectsof
shear
正 方形 鋼 管横 補 強鉄 筋 その 3 (
柱の せん 断ス
and
ト柱 の 耐 震 性 能
ン
比 が 耐 震性 能に 及 ぼ す影響 〉
*
) レ生
*
* * *
P
*
崎 野 健 治
,
)
of column
ン
;
,
平
クリ
コ
パ
移ノ
*
玉
ratio
i SAI (11>0 Ke η taro YASUI Amin AKLA1 丶 厂
Yuping SUI> 偸 孫
span
* *
安田 健 太 郎
,
*
ア クラ
,
ア ミン
ン
■ arld cNperime 【 ltal sh dy of car hquakc −. esisting As the third of all inlegrated theoretical pcrtkrma 【 of sqLLaro tubcd colloroto part . . ・ colum1 s, this pape ・ deals with ef1 ヒct ofshear span ratio ( a、 D )ol columns on tlle seismt behavioras , ell as mlhlillg e 且ヒ i elless ofsquare . . , stecl tubes 、 Fou tee reinf r ed concrete ohmllls haviug two kiuds oilshear span 1 ati s f L ( j and 】 . 5 ere o 1 正 i1 ed b square steel tubes ) ’ ・ ・ ’ . with fivekind o 止wa 且1 thickliess . wo e te ted mdei reve sed 且force ・ hiEesuhieotod to enstallrt axial load. The e coiumns }cHc Iatera 11 is sllown that as colifmcd in s 1uaro stcel tubcs havi1g salllc wall thickncss . thc Lolumn tilatilasshcar span 1』 ati Qf l . 5 bchavcd in a rlluoll . . moro dudilelll111nel1電han theshori otulllllwllos sheanl span ratio isl. 0. under axial loadwith n . O. 33 and T m ke the sllor吐 1unllis .28 wcro ・ ・ n磊 0. 67ductilc enough , usc ofthick stee ]tubes with B 43 and B t一 nccdcd 』 ExpcI imelltal 1 esults a ] so ind にate ha 、rcspodivcly ・ 』 a’ argel thail 1 . 5 when the ultima {e drift ratio ofthe short colullm with a の ; 1. O was about O . Olrad g. nla ] 1erthan that oft11 col IM havillg D ] ・ the 飢eehube with sallL wall tlli kness ar d the con rete having same eompressive sti ength us d 、
】
]】
/
( )
]
じ
己
且
〕
じ
ノト
;
じ
乙し
lcc
じ
【
(,
己
、were
山
〜
厂
〜
η
厂
’
/
/
”
(,
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:
芝
。
’ ’ . .. .eaJ ’ thqitake −1’ L. . 1、 stJng pei: mance , . sql tll1L S’ tL. ui tubu CO ηfinUtnent , V, idtii−to−t・ Clii thic. kne. Y、 y JlatJ for’ 」 」 ’ ’ . shea . Ctt o 1 ttilncTte dt att Ct . x icti IOCtd ati , , pa tf . せ ん 断 耐 震 性 能 、正 方形 鋼 管 横 拘 束 、鋼 管 幅 厚 比 、 比 .限 界 部 材 角 、軸 力 比
Ke _ レMJortts
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じ
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〔
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監
、
「 、 teel tube , f.
f!
θ
{)
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ス
バ
ン
1. INTRODUCTION
. ]tし isolle ot ’ −resis1allt tlptl ity馬 the eil ヒ 1iven ethods . lbr ip911ading arthguake freill1rcedcoll rete colunmis . . へs ’ . . . Tlvelltitilaltransvcr se } 10 p or spirals、 tllc steel tubc 、 whcn usod as ansv 1 sc nllnc 、 has siglli 丘i ul advi ilUage fpl. evelltitlg st alting . ] concrete tl] ] of ’ t 1umll s otion . and hcllcc load−oa1 》. ingcapacil )’ of thc GQIunul illaddition 巳au illg ,whicll gene ’ Y reduees e 什botive ar a ’ . ・ ing failure . advantage ofl the steet tubc istllat itGall work as tbrm lb星 columll 【 [ ials for[bmlwQ ・ k、 Amther Bocause oi thes
Coilfinement 111pa1・ ed witll c
c 〔〕 of
he shel
且
bolld−sph
〔 〕 fc〔 ncrete 》
匸 〕
)
Lbe
抗
b ト stee
Ω 〜
[
じ
己
L
コ
)
し
¢
¢
!甅
じ
じ〔)
じ
!
丁
a
じ
と巳
ld
sl
ヒ)
)
吐
じと
111a
【 〕
vc
じ
]
且e1
}
【) じ
漲
置
olunuls . and 2 )e仕ヒct ofshcar spall ratio on thc conflne nent efibcti . eness f t teet tubos . hieve these Tt aL ’ ・ 』 b. .fbulleon square 〔 ll 1 ete colullms having shear span ratios of L5 and l. 〔 }wcre ftibri a1ed and tested under 1 eversed cvdi iectives latcral llore 250111111 ’ . wlliie subjcctcd to o nstttllt uxial colTlp . essien . t ratio 1・ angillg 丘・ Dm 28through The test c lumns were Gonfilled illscluare steel tube with fivckinds of B . − 33 , ’ 』 . ll7 . vari hlein thc lests was axial ]oud 1. atio n illl vatues oi 0 . 0. 50 、 and O. 67 . Thc othc oxpo1 inlcntal
1ubed
I)
じ ,
〔〕
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じ
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じ
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じ
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九州 大 学 大 学 院 人 間環 境
学研 究 院
助
九州 大学大学院 人 間環 境 学研 究 院 新 口鉄 工 修
・ 工 博 ・工 博
教授
)
喞Assoc .Prof. ,Graduate School of Human Environment Studies,Kyushu Univ . , . Eng , * 墜Dr Prof. Hurr Graduate School of an Environment Studies Kyushu Univ . Dr . Eng . , , , ii察Nippon Stee1, Ltd . ,Former GraduateStudentof Kyushu Univ . , M . Eng . 零 零 寧 Mitsui Busan ,Ltd 、 Dr . Eng . ,
]
教授
元九 州 大 学 大 学 院 大 学 院 生 三 井 物産 工 博
129
一
NNII-Electronic 工 工 Eleotronio Library Service Library
Architectural Institute ArchitecturalInstitute
of Japan
ofJapan
fable1Properties
and
the 2D-$eries columns
results ef
main
pt(easuredrcsults
Detailsot'specimen 11{--N,No)(4) t(11Ml)(s) B/t }L'(kN)(3) .fe(MPa)C2)
Notation
Predictedresults
l""pftxVsuxJstL XJrvt:(kN)(]o)V,m,(ll} X"'rlt/Lx' X"cv(kN){1?)v,,(1.3) X・tm-x Xiu//CkN)(l4)X"uUs)XiTT-(16)X,'ut/(17) XJinaN(kN)(7} R,nay(rad)(8) Ru(rad)(9}
(6)
{1)
O.O17O.022O.025O.03Ge.oso 39039S398413436 e.931.03o.gge.96O,P4 3C)43163343603g2 12012gL]71.]Ol.U7 326327323.321311 L]2l.24L2I1.]31,32 o.7go.goO.84O.87o.gg O.93O.971.03L121.23 30.330.429.829.327.S 6326346]]611579 e.334O.334e.333O.334O.333 2.173.114.296.099.46 1178260432g 354406390396410 O.OIOO.O15O.O15O.O15O,035 T2.33.7DT3-33-2DT4-33-2DT6-33-2DT9-33t2D
T2-50-2DT4-SO.2D35.6 IY2 36.7
e.500
114)'
t17
2.17 4.29
O.499
'1'3-67t2DT6T67.2I)T9-67-2D 37.7 1550 O,667 3.M
389
O.OIO
O.O13
463
e.g4
358
1.09 1.0)'3453)'11]3
60
41g
e,O15
e.O19
SOO
O.g4
.397
82
447
O.alO
e.Oll
476
O.94
410
1.09
l19
296]X92911,51
O.77
L04
O.79
1.l3
O.S6
].39
35.6
14g4
O.667
6.09
43
472
O,Ol5
O.O17
563
O,g4
448
1.0)'
1.63
CL8e
1.55
36.0
1499
O,666
9.46
2g
546
O.020
O.02j
676
e,81
4gO
1.14
1.g8
e.71
1.6)'
N/ axjai loadapplied ,c',co]npressive str ngth efconcrete cytinder Bit/XJ/nHs'/ ",idthtowallthicknessratiool'stceltube at Vniax lateral forcc R,,./ drifi ratio ot'colunlli nieasuredinaximurn 1oad droppedto 95% ot'the Vmax Ru/XJtnu/ drillratio ofcolurrm at which the latera] later'aJ leadceiTesponding to the ultimate tnoment calculated by authors' nlethod [4] v.,/ shear strength calcu]atcd by the modified Ohiio-Arakawa fonnula [3] culculated by the ACI cgde [5] Xiv,,/iateral 1oadcon'esponding lo the u]timate moment ¢
ultimatc
2. EXPERIMENT 2.1
OF TUBED
WITH SHEAR SPAN RATIO OF 1.0
COLUMN$
TESTSPECIMENS In the tubcd
celuinns
"'ith
llcNnraldet'omnationis prcdorninant conlinenient
eft'ect
the
and
through
niainl}・
proportion.the
ordinar}・
Loadingdirection
tubc
provides the lateral
stLLI
conslraining
pt
We-e-
,e,:7g:S,IOIi,,Sli,1,`ll,1`T'i:g,iLekgl//#,O:X:`15.,llii.LO,1";';i,,L)Zl:,1::
s ductitit}, to the
tnough
has bccn the
case
in authors'
veritied
ef
short
tube
stee]
"・idened
shear
anlicipate
that
s'ar>・
the
and
1iusto
also
confinenient
efi'ectivetiess
Nvith shear span ratio ot'tht
under
rcversed
thc tubed
lhe
stecl
i'atio
on
columns
as
having inner",idth
the
of25C)tnm
hars in each longitudinal
to give a perinieler neNt
It ean
section.
This was
well
the
as
be
loadas
seen
li'ornFig. 1 that
and
L'isthe
magriitudc
dixpcrimenta] compressiye
ot'the
cornpressive
The B,,iratio
results.
variables slrcngth
of
Tnay
the
seismic cfibctiveness
The
istwice
eolumn
the
thickiiess,
ofwa]1
of
steel
size
ofthe
2.17mm
tubes, tcn
have
test colutnns
dcpth of
through
shear
"'ere made and tested 250x2SOx50enun prisniutic span rati.o oi' 1,() and are referred te as 2D-series specirnens co]u]nns
concrete
Thcse
section.
9,46nini. In the
sarne
s.pecnnens
inanner
were
the test
as
by
confined
columns
reported
.gquare stee] itiReE 2,
tlie steel tube
clearances
proi,L'dcs
of enly
1Ointn "'ere prox,idedbet",ccnthe loading stub and the steet tubt ut bot]iends ofthe cotunui. 'csislance ral]ier lhan a direct to the axiat stress induced by the a continillg efi'ect to thc cDncrete,
bendingnionient,
Experimentalvariables Bit.,and 2) the
tm)i
tl,.=318)LdPa) uniformls, distributed around the column. co]isisted of t-・elve]2,7mm diameter dcfbrmed bars (D]3, ot' the 2D-series cotunms along with ofthe 3D-serics colunins descrihcd in the Fig.1 she"'s tei"tbrcetnent dctails
of2.449'i.
"'ell as
Aljdimensions in
to
confinement
fivekinds
and
colunin
cnch
ratio
donetbr ensuringthat
axial
applied
steel
e pt
・pm1
constant axial cotnprcssion.
hercaftersimply because the clear hcigh1 of tubes
wholt.
tubes
l
Fig.1 Reinibrcementdetaltsand]oadingc,)nditionot'thespecimens
shear span
latera] load and
cyc]ic
a
it ls reasonable
ot'
e
E
colunui.
Te investjgateefi'ectoC perf'ormanceot'
failas
to
-
-
dei'ornialien
shear
is apt
column
-
eee-N
in
dilatatio"due to i'estrictthe tateral Censequently,
cracks.
[2]-Hnwever・
prcvious "'ork becuuse thc
colunins.
becoinespredoniinant thc
consideration Tltistheoretical
column.
=n
strength
the
uscd
as
well
as
of
concrete
steel
ranges
l) the
were/
interms or Tahle
cylinder.
tubes varied
theirvai)'ing
xva.s
specimens
Ioad,reprcsented
axial
of
concrete
the 2D-series
an]ong
]
axial
thickriess of steeT tube. expressed
"・all
loadratio
]istsoutlines
ofthe
from 2g through 1l7, whilt werc
the same
as
adopted
n{ -N/A,fi ).where
,V
isthe
?D-sericsspecin!ens tlie
for the
axial
tubed
load ratios e{]lumns
interms
applied along
had
isthc
concrete
core
ratio area
and predictedinain 'Ihcse O.33. 0.50 and e.67, two
thcir measured
with
having shear
thickiiess
widlh-to-wall
load.A.
axiat
values
of
of
span
rtLtie
of
2.0
'Thetargeted
l21.
3eMPa.
130 NII-Electronic NII-Electronic
Library Service
Architectural Institute ArchitecturalInstitute
The
ready-mixed
concrete,
with
3D-series speeimens.
well as the
ofthe properties
2.2
of Japan Japan
of
sleels
slump
a
in thisexperiment
used
180mm
ofabout
the same
are
and
maximum
.strength ot' concrete
Compressive
c}'linder
size column
13nim.
ol'
were
to
used
t'iibricate the 2D-seriesspecimens
isgiven in Table 1. Tht
lhe testingnge
a:
as
mechanical
inauthors' previouswork [2]and hence can b¢ tbundthere.
thoseused
as
aggregatc each t'or
LOADINGCONDITIONANDINSTRUMENww10N The loadingapparatus describedin Ref. 7 by
means
the
column
applied
deform reversals
ot' an
in a double
was uscd to
machine
curvature
dcsignedloading historyto the
apply
5MN
with
the
capacity.
'Ihedesigtlcdloading
shape.
loading proge'amcomprised
thc
and
testing
universal
tbllowing ;oadingsteps/
the
reversed
For eaeh
columns.
lateral[oadwns
specimen.
the
atler
foad being
axial
through one 500kN ]rydraulicjacklo displacemcnt-ccmtrolled type alteinating drifi
cyclic
applied
patterntbr the lateralload was 1) the peak drifiratios. detlnedas
with
ratie
height h(=5eOnini)ot'the co]umn, were increasedstepwisc from O.O05 rad to e.02 rad with increment ofO.OOS rad after and 2) beyond R=-{}.C)2 1evcl, rud the pcak ciritl ratios were increasedup to O,e5 rad or until t'ai]ure with iner ment ratio
laleraT dlsplaccmcnt,,Sto the clear
ofthe
¢
thrce
coinplete
ofO.OOS
rad
c},ctes
tuler
one
al
drifi
each
cvclc
at caeh
driftratie level, Detlectionswere each specimen
tongitudinal bars as
the
by disp]acetnent transducefs
nieasured
well
lntoa computer-controlled
thc
as
In addition to the lateral detltclionTMeasurcintnts. the ai'erage axia] dcl'ennatien ot' (D.'l'.}. instrumentation tbrthe detlectionswas iclentical to that used +n the tests describcd in Rct/2. Strainsin steel tube were measured with strain gauges, readingsc t'roni both the strain gauges ?md the D.'I7s",trc t'ed
The
also measured.
was
measuring
confining
.X]1
dataacquisition
intofloppy diskforlateranatysis,
sy,stetn, and stored
2.3 OBSERVEDBEHAVIORANDTESTRESULTS Fig. 2
shevL's
obseived
thc tcsts.
Values
drillratios
experienced
the
As
and
reinoving
For
the
colurn]is
dominant
werc
to
sub.ieeted
regnrdless
the
of
the
afier
nlaxinium
t'roniFig.2.
seen
patternsoi' short toad ol' n=-O.33. shear
crack
axial
thickiiess
wall
The tube
stee]
drifiratio given +n Fig, 2 represent by each specimen. As can be
ot'
loud[evefgreatly inllueneed the
axial
colurnns. cracks
2D-series specimens.
ofthe patte;'ns by cutting
crack
patternswere
crack
of
tubes.
stcel
the axial loadratio became higherthan O.5O,however, the damages
inshort
columns
shear cracks.
primarilycaused by spHtting cracks rather thfln 'I'hc damaged rcgion extended aleng the column height were
1'erall
the
use
the thicker
of
2D-series specimens
regardless
.gtLtl tuhe
could
the
of
T3-33-2D
T4-33-2D
T6-33.2D
R=O.035rad
R=O,04rad
R-O.05rad
R-O.06rad
T9-33-2D R=O.06rad
load levet.but
axial
prevent
effectlvely
T2-33-2D
widening
oflhe
crack.g.andinitigatcdamagesintheshoitcolum;is.
'1'he experimentaT
relationships
the
and
2D-series
specitncns
hystereticloops as the
",hen
well
contining
accninulation
of
aNial are
-
drift ratio
defotination6 - dr'ift ratio
R
curves
plottedin Fig. 3, as the S - R curves tube
steel
the
hystereticlatera]toad V
axjal
contacted
Broketi
the
stages
loading stub.g dueto
'l'he experimental
shortenings.
-R
V
the testing
express
with
t'orthe
in the
curves
R
T2-50-2D T4-50-2D T3-67-2D T6-67-2D T9-67-2D R-O,O15rad R-e.03rad R-U,C12rad R-O,02rad R=O.U4rad
maximum
well as the coiTesponding dritlratio R.,,ai'e given in Table 1 aiong with the ultimate drift ratio R., at whicli the lateral load dropped lo 959・iol' the lv',,,..,Thc nieasured V... given in Tab]e 1
lateralload V... as
:'epresentstheai,erage of
thcmaximum
In addition. three kinds squares
and r4],
V,,,isbased on
the
the
proposed
the
specirntn
methed
them
to
sub.iected
axial
T3-33-2D (B,'t-l17).
not
onl},
under
Combining
observations
the
above
axial
steel tubewith
specimens
Bit < 43
to the
and
by
etl'ect
the stee] tube.
because itsvalue
only
¢
catculated
describedin Rtt/ 4. authovs'
,Xs
specim
ti.
'l'he solid
lines vvith
the brokenlines express the u]tiniate
tlextiral strength
ultittlate
[5].
contlnement
tiltthe at
both ofthem
load with with
the
n=O.33 craek
confined
could enhance
by
steel
end
of
tests. and
the
aKinl
large deformation. For the exiiibited
usingthe
cu[cu]alion
but a]so
method
proposcd by
efi'cctbs'thc
the
stifi'
side
sguares
soljd strength
isdit}i]reilt tl'otn the
inethod
extra coniinetnent
isbeyond
shcnr
and
open
obtained
by
firsttwo
authors
.-LCI melhed
the
+n that
loading stubs.
For
600kN.
ver}・
stublc
.
cyclic
shortenings
ti'ere
i,er}' stnall.
'1'6-33-2D
'I'his nieans thatthc 'l'9-33-2D and
(B,'t=43)
specimens
ti]]tht
responses
end
ol'tcsts.
tubes
largei' than
",ith
Btt /. 43
bothductility and uitimate
the short tubed
O.50, ",as
abrupt
and
colunins exhibited
acconipanied
strength. although the
sliorl
celurnii
"'ith
behavier ei'
utctimutatien
couldn't
degt'adat+on
th y didn't )vloreoi'er. the longitudinal bars in all ofthe
reached
n
strength
lhough (B/1-2S),
the yield strcss both in tension and in coniprcssiori betbre anab'or it patterns. can be said that thc t'nilure patteniforthe shoit ILibcd cotunins under
faiiureaftev tlexureyielding. {)n the other ]]and,under high axial load with
degradationin the
Vun,respeetiveiy,
each
t}'oni web
viewed
Ioadwjth n=O 33. thc short colunin exiiibited more ducti]ebehtiviorus the sleet tube became thicker. The specimens and T4-33-2D (Bit-60) sho;ved largestrcngt1i dcge'atiation fi'o]n R=e.e2rad. {}.025. and O.U35rad,respcctively. (B,'t=82}. but
tleNtiral strength.
2D-series specimens
Xi - R loop ot'
measurcd
V.. Iinecan't be secn in Fig.3
capacit}' gravitysustaining indLicedby the widcncd shear cracks
develop their uttimate
shear
V,.,con'esponds
remalned
wtts mainly
on the
ACI idealtlexuratstrength intoaccount
'1'9-67-2]). thc thtoretical
V"'hen
T2-33-2D
lhe take
can
[3],The
ot'the 2D-seriesspecimens pattenis
inboth loadingdirections.
superimpo$ed
]ateraltbrces V',nu and
ultimate
Ohno-.traka",afbnnula
inodified
all ot'
the theoreticat
represent
lateral forcesmeasured linesare
of
Fig.2 Crack
she;u'
ot'the
crushing
axial
des,elop its'LLItimate
at
the
axial
¢
peak ]atera!loads. ]ead with n=O.33 is
t'ailufe.The
shortcnings.
strength
butLtse oft]iick
flext;ral strength.
No
131 NII-Electronic Mbrary NII-Electronic Library
Service
Architectural Institute ArchrtecturalInstrtute
of Japan
ofJapan
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Dnft ratio R(O O1rad)
.6.4
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6
4
DriftiatioR(OOIrad)
1htnieasLiredc}cttcresponsesol'the2])-striesspeaniens
These mak
't
-lsets .300s T9a32Dfc'=278MPuBlt=28 .4SO .6Lro .6 .4 .2 O]46 .6.4
DrifiratioR{O.Olrad) Fig
30o> 15eeaoere
tt/tttt
o.150-3oe4se.600
g.-"9gs・.
450Z
the
short
reached
imply
observations colunms
theyie]clstrcss
m
tension tillthe end eftests
by sguare
thatconfinement
undei axia]
loadwsth
n=O
33
and
n=O
steel
tube
]s
hard to prevent the
67 ductileenough.
vse
ghoit toTumns
conciete
tubes
ot gteel
with
Blt-43
aiid
with a
B,t=28 arc
])-1 O t'tomshear failuie io
neccssar].
rcgpcctLvell
the inedified Ohno-/U nka"a forniuta[31was adopted in lhis study It can be seen 1'opredictthe ultimatc shcar strength ofthe tubcd short colunms. iormula gives a reasonable lowe: tinllt shear gtTength t'orthetubed colurnnK froniTable 1 (co]uinn piediclion ofthe (13))thattliernodified Ohno-iMakawa V.. had a tnean the coluinns conl'ined by cotu entional ]]eops The rdlio ot' the Xt,,,,, andthe t'iuling m shear although the fi)rmulawas origrnally proposed t'oi value of
1 12and
account
confinement
a standard ell'ect
deviationof O 07 ofthe
steel
tube
The on
measured
the ultlmate
and
catculated
iesutts
tlcxuratstiength
the calculated ilcNuia]strcngths for unconiined (colunins (16)diid (l7)), ilexuret ather than in shcar fronithe columns dre supposed to fiiihn
viewpoint
co]uning of'
as cu
ultmialc
ghoivn
in
Fig 3
and
Table ] aTso
mdTcdte
tnode foi the tubcd pTedicinigt'ailLLie e tnuch sn]alleT lhai] the sheai s" engLhs. This is obviouslN contrcu) sk
cngt+i
the
ittipoitance
As
colunins "hich
to the
ot'taknig
gho"'n
in
n]canK lhat alt ofthe obgeived
itito
Tablc l short
resutts
I32 NII-Electronic Library Service
Architectural Institute of Japan
NII-Electronic Library Service
Architectural Institute ArchrtecturalInstrtute
of Japan Japan
of
1.4
t.4
14
12
1.2
1,2
1
1
1
x"E>x>
es
og
o.K
06
06
06
o.4
o4
o4
O2
02
O,2
e
o
o
O1234S601234S60
DnftratioR(O,O1rad) Fig 6 Comparison
ofthe
envelope
of shear (efi'ect
cLirveg
span
"vau-o-・tpat,9Nkq:votiE:=D 65432l
oO
the
of
iupture
c)bservat)ons shear
span
ratio
Italso the
with
the
patternssho!vn
crack
20
measured
tube,
the
assure
the
and
Fig
m
load V.,. The
rnaximum effect
SO
100
120
2o
4o
4.
of
colunlli
be
it c`m
ao
ne
loo
67 {c)-O
V.,. and
its axial
confinetnent
til] the
capacity
end
Coinbining
test
of
B,t=82 coutd
wlth
these
hnvmg
the column
mtLk.e
ductility
fiexural strength
ultimate
V.. had
the
theultimate
underegtimated
load-canlring pro-ded by thm steel lube
still inaEntam
that
said
suthclent
colunm
ratio ofthe
the steeltube
6o
W ±dth-to-"allthickriess ]atio Blt
gpan ratto)
be seen fromTable2 (Column (11))
can
60
40
ratio B/T Width-to-wal[ thiekriess
tliatthe theoretical
igrio[ance ofconfinernent
4.
654321oo
(b)n=o so
1 S fa11m fiexureand
of
120
ofshear (efeet
drifira"o
porlien ot' the steel
welding
with
tatio)
33
Fig 7 Conipartsonof theultimatc
6
Dnftratio R (O.e1rad)
654321oO
20 40 60 80 100 Width-to-wallthicknessratio B,'t
(a)n=O
12345
DrifiratioR(OO1rad)
a
tnean
value
V.
lateral loadot'the
tubed
by authois'
obtamed
1 02
of
and
method
agreed
deviationofO
a standaid
On the othei
hand.
-33%
f'ailmg in flextire b} 26%
colu]nns
satist'actonly wel]
03
DISCUSSIONONEFFECTOFSHEARSRANRM'10 To
Fig 6 tbrtiiespec]mens
m
seisniic cuiveg ot'the Y-R 1c$ponses ]n tiiepush direc!ion pertoimance ot' tubed columris. envetope For coniparison, the enN'elope tuiveE ot'the 4D-seiies speciniens ieported to axial load with n = O 33 Fig 6. although theaxial toadwas not high.thick steet tube "'rth B,t [atio lesstl]an 43 uag needed to assure
of shear sptui raUe on the
the lnfiucnce
assess
aJ e compared
sutvccted
Ref 2 tue algo plottcdin Fig 6 As ductility to the short coluinns su filcient
shown
m
m
-
1ia-ng a,D
1O
On
hand. thm
thc othei
steel tube
B't
",rth
82
=
could
the
niake
cetumns
with
larg r
a,'D
1S
than
¢
suil'icientl}duct]le
Efi'eets ofthe
definedas the drift ratio at which for specimens
made
from 1
column
5
of
to
4D-series columns 7