8/21/2019 Ferracuti B., Savoia M., Pinho R., Serpieri Maurizio- Seismic Analysis of Irregular RC Structures by 3D Force-Torque

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_fautfzild` ` ribuzild` b`aaf vuad`rfniait sisgikf bi `bioiki `sist`dti id k.f.^lgf, >9-;3 gfhhil >33:

Rlpik= GDB OK I^^@H GIZ RFGS [KFA@ DLBI NIFZ S^@OFN

[@I[GIK FDFAY[I[ LO I^^@HPAF^ ^K [R^PKRP^@[ NY ;B

OL^K@/RL^VP@ SP[JL_@^ G@RJLB

Nfrnfrf O`rrfkuti f, Gfrkl [fvlifn, ^ui Sidjlk, Gfurizil [`rpi`ri b

fBI[RF^R [trukt. @dhid``ridh, Pdiv`rsity lo Nlalhdf, nfrnfrf.o`rrfkutiCudinl.it

nBI[RF^R [trukturfa @dhid``ridh, Pdiv`rsity lo Nlalhdf, gfrkl.sfvlifCgfia.idh.udinl.it

kB`pfrtg`dt lo [trukturfa G`kjfdiks, Pdiv`rsity lo Sfvif, rui.pidjlC`uk`dtr`.it

bBI[RF^R [trukturfa @dhid``ridh, Pdiv`rsity lo Nlalhdf, gfurizil.s`rpi`riC udinl.it

FN[R^FKR

Id tj` pr`s`dt stuby, f d`w pusjlv`r prlk`bur` olr ;B orfg` struktur`s is prlpls`b, nfs`b ld

tj` fppaikftild lo f s`t lo jlrizldtfa olrk` fdb tlrqu` bistrinutilds ft `fkj oallr a`v`a5 id lrb`r

tl pr`bikt tj` glst s`v`r` kldoihurftilds lo fd irr`huafr struktur` sunm`kt`b tl fd `frtjqufe`,

glr` tjfd ld` pusjlv`r fdfaysis jfs tl n` p`rolrg`b. Rj` prlpls`b g`tjlb is vfaibft`b ny f

kldsist`dt klgpfrisld lo r`suats orlg stftik pusjlv`r fdb bydfgik siguaftilds id t`rgs lo

bioo`r`dt r`splds` pfrfg`t`rs, sukj fs bispafk`g`dts, rltftilds, oallr sj`frs fdb oallr tlrqu`s.

[tfrtidh orlg tj` aid`fr fdfaysis, tj` prlk`bur` is suns`qu`dtay `xt`db`b tl tj` dldaid`fr kfs`.

Rj` r`suats kldoirg tj` `oo`ktiv`d`ss lo tj` prlpls`b prlk`bur` tl pr`bikt tj` strukturfan`jfvilur id tj` glst s`v`r` kldoihurftilds.

E@YXL^B[

;B Susjlv`r Fdfaysis, Idkr`g`dtfa Bydfgik Fdfaysis, ^K orfg` struktur`s.

6 IDR^LBPKRILD

Rj` gfid hlfa lo dldaid`fr stftik fdfaysis is tl b`skrin` tj` dldaid`fr kfpfkity lo tj` struktur`

wj`d sunm`kt`b tl `frtjqufe` hrludb gltild, witj f r`buk`b klgputftildfa `oolrt witjr`sp`kt tl dldaid`fr bydfgik fdfays`s.

Olr >B orfg` struktur`s, f afrh` dugn`r lo stubi`s jfv` n``d p`rolrg`b id lrb`r tl vfaibft`

bioo`r`dt pusjlv`r t`kjdiqu`s ny klgpfrisld witj r`suats orlg bydfgik fdfays`s (`.h.

O`rrfkuti `t fa. >338, fgldhst gfdy ltj`rs). Ld tj` kldtrfry, o`w pusjlv`r g`tjlbs olr

irr`huafr ;B orfg` struktur`s jfv` n``d prlpls`b (Glhjfbfg fdb Rsl, >3335 S`d`ais fdb

Efppls, >33>5 Kjlprf fdb Hl`a, >3325 Ofmofr `t fa., >330). Rj` b`oiditild fdb fss`ssg`dt lo

;B pusjlv`r g`tjlbs is jlw`v`r gukj glr` klgpa`x tjfd id tj` >B kfs`.

Idb``b, tj` oudbfg`dtfa plidt id ;B pusjlv`r fdfays`s is tj` s`a`ktild lo tj` bistrinutild lo

jlrizldtfa olrk`s faldh tj` orfg` j`ihjt fdb fkrlss tj` idbivibufa oallrs. Ft oallr a`v`a,

jlrizldtfa olrk`s kfd n` bivib`b idtl trfdsaftildfa fdb tlrsildfa kldtrinutilds. Ny fdfayzidh

tj` bydfgik r`splds` lo fd irr`huafr struktur` sunm`kt`b tl `frtjqufe` `xkitftild, it kfd n`lns`rv`b tjft gfxigug bispafk`g`dt fdb gfxigug rltftild bl dlt lkkur ft tj` sfg` tig`

8/21/2019 Ferracuti B., Savoia M., Pinho R., Serpieri Maurizio- Seismic Analysis of Irregular RC Structures by 3D Force-Torque

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st`p. Rj`r`olr`, f udiqu` pusjlv`r olrk` bistrinutild hividh tj` glst s`v`r` kldbitilds olr tj`

struktur` kfddlt r`faay n` b`oid`b.

Id tj` pr`s`dt wlre, f d`w pusjlv`r prlk`bur` olr ;B ^K struktur`s, kfaa`b Olrk`/Rlrqu`

pusjlv`r (ORS) is tjus prlpls`b5 f s`t lo olrk` fdb tlrqu` bistrinutilds is s`a`kt`b tl pr`bikt

tj` glst s`v`r` kldoihurftilds tj` struktur` gfy udb`rhl buridh tj` `frtjqufe`. Id lrb`r tl

vfaibft` sukj t`kjdiqu`, tj` klgpfrisld n`tw``d r`suats orlg f s`ri`s lo idkr`g`dtfa bydfgikfdfays`s fdb pusjlv`r fdfays`s jfs n``d kfrri`b lut, kldsib`ridh bioo`r`dt r`pr`s`dtftiv`

pfrfg`t`rs lo tj` strukturfa r`splds`. Id pfrtikuafr, nltj halnfa pfrfg`t`rs (kfpfkity kurv`s,

jlrizldtfa bispafk`g`dt v`rsus rltftild lo tj` k`dtr` lo gfss lo tj` rllo) fdb alkfa pfrfg`t`rs

sukj fs oallr sj`frs, idt`rstlr`y briots, oallr rltftilds jfv` n``d kldsib`r`b. F r`aftiv`ay hllb

fhr``g`dt n`tw``d r`suats witj tj` prlpls`b pusjlv`r g`tjlb fdb bydfgik fdfays`s jfs

n``d pr`aigidfriay oludb.

> S^LSL[@B G@RJLB= OL^K@/RL^VP@ SP[JL_@^ (ORS)

Ny fdfayzidh tj` bydfgik r`splds` lo fd irr`huafr struktur` sunm`kt`b tl `frtjqufe``xkitftild, it kfd n` lns`rv`b gfxigug bispafk`g`dt fdb gfxigug rltftild bl dlt lkkur fttj` sfg` tigidh st`p. Rj`r`olr`, f udiqu` pusjlv`r olrk` bistrinutild hividh tj` glst s`v`r`kldbitilds olr tj` struktur` kfddlt n` b`oid`b. Id tj` pr`s`dt stuby, Olrk`/Rlrqu` Susjlv`rjfs n``d prlpls`b. Rl stfrt witj, f rihib bifpjrfhg kldstrfidt is idtrlbuk`b ft `fkj idbivibufaoallrs lo tj` struktur`. Rj`d, tj` olrk` bistrinutild prlplrtildfa tl tj` oudbfg`dtfa glb` lotj` struktur` witj tj` jihj`st pfrtikipftild ofktlr olr tj` s`a`kt`b hrludb gltild bir`ktild islntfid`b. Rj` oallr olrk` r`suatfdt ft tj` i-tj oallr a`v`a is bivib`b idtl aft`rfa olrk`s

ixO , , iyO , fdb tlrqu` iR witj r`sp`kt tl tj` k`dtr` lo gfss. F kl`ooiki`dt w`ihjtidh tj` twlklgpld`dts is tj`d idtrlbuk`b, sl b`oididh f kafss lo olrk` bistrinutilds witj vfrifna` olrk`fdb tlrsildfa r`suatfdts. Olrk`s fppai`b ft tj` i-tj oallr fr` tj`d writt`d fs (s`` Oihur` 6)=

7

7

7

ii

iyiy

ixix

RR

OO

OO

,,

,,

)6(

)6(

(6)

Rj` w`ihjt kl`ooiki`dt kfd vfry orlg z`rl tl ld`. Rj`r`olr`, olrk`s-lday lr fat`rdftiv`aytlrqu`-lday fr` fppai`b olr tj` twl aigit kfs`s, 73 fdb 76, r`sp`ktiv`ay (s`` Oihur` 6). Olr7 3.0, tj` olrk` syst`g (6) klrr`spldbs tl tj` olrk` bistrinutild prlplrtildfa tl tj` s`a`kt`boudbfg`dtfa glb`.

Oihur` 6. Srlpls`b pusjlv`r t`kjdiqu`= olrk` bistrinutild ft `fkj oallr fdb twl aigit kfs`s.

ORS Olrk` Bistrinutild Rwl Aigit Olrk` Bistrinutilds

8/21/2019 Ferracuti B., Savoia M., Pinho R., Serpieri Maurizio- Seismic Analysis of Irregular RC Structures by 3D Force-Torque

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; KF[@ [RPBI@[

Rwl sigpa` guati-stlr`y ^K orfg` struktur`s witj oallr pafds sygg`trik fnlut tj` y-fxis nutfsygg`trik fnlut tj` x-fxis fr` kldsib`r`b (s`` Oihur` >). Klaugd krlss-s`ktilds fdb`kk`dtrikiti`s lo K`dtr` lo ^ihibity (K^) witj r`sp`kt tl tj` K`dtr` lo Gfss (KG) fr` pr`s`dt,

@afstik glbuaus lo kldkr`t` is >0333 GSf, wjiast tj` bistrinut`b gfss is ?.?3 eD/g

>

. Olr kfs`d.6, tj` orfg` struktur` is saihjtay irr`huafr, wjiast kfs` d.> o`ftur`s f sihdioikfdt `kk`dtrikity.Rj` p`rilbs lo tj` oirst tjr`` vinrftild glb`s fr` fasl r`plrt`b id Oihur` >, tlh`tj`r witj gfss

pfrtikipftild ofktlrs olr f hrludb gltild fktidh idx-bir`ktild.

Rj` struktur`s jfv` n``d glb`aa`b usidh tj` oinr` oidit` `a`g`dt klb` [`isglslot (>338).

Kfs` d.6 Kfs` d.>

Krlss [`ktild Krlss [`ktild

Kla. 6 ;3x>0 ?3x>0

Kla. > ;3x>0 ?3x>0

Kla. ; >0x>0 >0x>0

Kla. 2 >0x>0 >0x>0

y/A 3.6;; 3.2;;

R6-6 3.98 s 3% 3.93 s 3%R>-> 3.92 s 8?.8% 3.:? s 20.;%

R;-; 3.:3 s 8.0% 3.09 s ;;.6%Oihur` >. H`lg`try lo twl kfs` stubi`s, klaugd krlss-s`ktilds, p`rilbs R fdb gfss pfrtikipftild ofktlrs

olr fd `frtjqufe` fktidh idxbir`ktild.

2 KLGSF^I[LD LO @[PAR[ O^LG BYDFGIK FDB SP[JL_@^ FDFAY[@[

2.6 Aid`fr rfdh`

Rj` fig lo tj` pr`s`dt wlre is tl vfaibft` tj` prlpls`b ORS prlk`bur` tjrluhj klgpfrisldwitj r`suats orlg bydfgik fdfays`s. Rj` klgpfrisld jfs n``d gfb` ft f hiv`d aigit stft`,klrr`spldbidh tl tj` fkji`v`g`dt lo uatigft` strfid id kldkr`t` klr` (ku73.;0%) id f klaugd.Olr tj` kfs` stubi`s, tj` pusjlv`r prlk`bur` prlpls`b id [`ktild > jfs n``d p`rolrg`b nys`a`ktidh f s`t lo vfau`s lo w`ihjt kl`ooiki`dt . Olr kfs` d.6, twl s`a`kt`b r`splds`

pfrfg`t`rs, i.`. gfxigug bispafk`g`dt fdb gfxigug rltftild lo tj` k`dtr` lo gfss (KG) lotj` tjr`` oallrs, lntfid`b olr bioo`r`dt vfau`s lo , fr` r`plrt`b id Oihur`s ;f,n. Nyidkr`fsidh, i.`. r`bukidh olrk`s fdb idkr`fsidh tlrsildfa klgpld`dt, bispafk`g`dt lo KGb`kr`fs`s fdb rltftild idkr`fs`s.

Rj` r`suats orlg stftik fdfays`s jfv` n``d klgpfr`b witj tjls` orlg aid`fr bydfgik fdfays`s

3

3.30

3.6

3.60

3.>

3.>0

3 3.6 3.> 3.; 3.2 3.0 3.? 3.8 3.: 3.9 6

xUgW

KG; KG> KG6

-3.32

-3.3;0

-3.3;

-3.3>0

-3.3>

-3.360

-3.36

-3.330

3

3 3.6 3.> 3.; 3.2 3.0 3.? 3.8 3.: 3.9 6

rf

KG; KG> KG6

Oihur` ;. Kfs` d.6= (f) Gfxigug bispafk`g`dt fdb (n) gfxigug rltftild lo k`dtr` lo gfss (KG) ft

ofiaur` lo tj` tjr`` oallrs lntfid`b ny tj` prlpls`b ORS g`tjlb witj bioo`r`dt vfau`s lo tj` w`ihjt

kl`ooiki`dt .

(f) (n)

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ny fblptidh 6> frtioikifa tig`-jistlri`s klgpftina` witj @urlklb` : r`splds` sp`ktrug(s`isgik zld` > fdb typ` N hrludb). Frtioikifa hrludb-gltilds jfv` n``d pr`o`rr`b j`r` lv`rdfturfa r`klrbs id lrb`r tl r`buk` vfrifniaity lo tj` strukturfa r`splds` fdb tl lntfid fjlglh`d`lus stftistikfa sfgpa`. Rj` frtioikifa r`klrbs jfv` n``d skfa`b up tl tj` fkji`v`g`dtlo tj` aigit stft` (ku73.;0%) olr tj` struktur` udb`r stuby.Fs fd `xfgpa`, tj` r`splds` id t`rgs lo bispafk`g`dt v`rsus rltftild lo KG; lntfid`b orlgld` tig` jistlry fdfaysis (Fh6f) witj skfaidh ofktlr 6.?9 (klrr`spldbidh tl tj` fttfidg`dt lotj` aigit stft`) is klgpfr`b witj r`suats orlg ORS id Oihur` 2f. Id pfrtikuafr, orlg bydfgikfdfays`s tj` plidts klrr`spldbidh tl gfxigug vfau`s lo bispafk`g`dt x, rltftild fdbkldkr`t` b`olrgftild ku (tj` aigit stft` kldbitild) fr` idbikft`b witj gfre`rs ld tj` kurv`.

Olr pusjlv`r fdfays`s, lday tj` uatigft` vfau`s klrr`spldbidh tl tj` aigit stft` kldbitild fr`r`plrt`b. Rj` uatigft` plidts orlg ORS olr bioo`r`dt vfau`s lo tj` kl`ooiki`dt fr` alkft`bfaldh tj` bfsj`b aid` n`tw``d aigit kfs`s 73 fdb 76. Glr`lv`r, plidts orlg bydfgikfdfays`s klrr`spldbidh tl tj` gfxigug vfau`s lo r`splds` pfrfg`t`rs fr` idsib` tj` kld`b`skrin`b ny tj` twl aigit kfs`s (73 fdb 76) fdb tj` aid` lo uatigft` plidts lntfid`b orlgstftik fdfays`s. Rj` sfg` n`jfvilr kfd n` lns`rv`b wj`d stftik r`suats fr` klgpfr`b witj faatj` r`suats orlg 6> tig` jistlri`s fdfays`s. Rj`s` r`suats fr` suggfriz`b id Oihur` 2n, wj`r`faa tj` gfxigug vfau`s lo r`splds` pfrfg`t`rs orlg 6> bydfgik fdfays`s jfv` n``dklgpfr`b witj r`suats orlg aid`fr stftik fdfays`s (r`b plidts klrr`spldbidh tl aigit stft`kldbitilds).

- 3. >0 - 3.> -3 .6 0 - 3. 6 - 3.3 0 3 3 .3 0 3 .6 3 .6 0 3 .> 3 .> 0-3.32

-3.3;

-3.3>

-3.36

3

3.36

3.3>

3.3;

3.32

xUgW

U

^fbW

Byd

x,gfx

gfx

ku

73

73.>0

73.;3

73.03

73.80

73.93

76

3 3.30 3.6 3.60 3.> 3.>03

3.330

3.36

3.360

3.3>

3.3>0

3.3;

3.3;0

3.32

xUgW

U

^fb

W

73

73.>0

73.;3

73.03

73.??

73.80

73.93

76

ku

stftik

x,gfx

x,gfx

(g`fd)

gfx

gfx

(g`fd)

ku

byd

ku

(g`fd)

Oihur` 2. Kfs` d.6= Bispafk`g`dt v`rsus rltftild lo KG;= (f) r`suats orlg tig` jistlry Fh6f witj [O76.?9

fdb ofiaur` stft`s orlg stftik fdfays`s olr bioo`r`dt vfau`s lo 5 (n) gfxigug vfau`s lo r`splds`

pfrfg`t`rs orlg 6> bydfgik fdfays`s, tj`ir g`fd vfau`s (nlab sygnlas), fdb r`suats orlg stftik fdfays`s

witj bioo`r`dt vfau`s lo

3 3.30 3.6 3.60 3.> 3.>03

633

>33

;33

233

033

?33

833

:33

xUgW

Nfs`[j`fr_

xUeDW

73

73.>0

73.;373.03

73.??

73.80

73.93

76

ku

stftik

x,gfx

x,gfx

(g`fd)

gfx

gfx

(g`fd)

ku

byd

ku

(g`fd)

3 3.330 3.36 3.360 3.3> 3.3>0 3.3; 3.3;0 3.323

033

6333

6033

>333

>033

U^fbW

Nfs`Rlrqu`RUeDgW

7373.>0

73.;3

73.03

73.??

73.80

73.93

76

ku

stftik

x,gfx

x,gfx

(g`fd)

gfx

gfx

(g`fd)

ku

byd

ku

(g`fd)

Oihur` 0. Kfs` d.6= (f) Nfs` sj`fr id tj` bir`ktild lo tj` s`isgik fktild _x vs tlp bispafk`g`dt lo KG orlgstftik fdfaysis klgpfr`b witj tj` gfxigug vfau` lo r`splds` pfrfg`t`rs lntfid`b orlg bydfgik

fdfays`s5 (n) nfs` tlrqu` v`rsus rltftild.

(f) (n)

73

76

73

76

(f) (n)

76

73

76

73

8/21/2019 Ferracuti B., Savoia M., Pinho R., Serpieri Maurizio- Seismic Analysis of Irregular RC Structures by 3D Force-Torque

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Rj` sfg` r`suats orlg nltj bydfgik fdb stftik fdfays`s, nut id t`rgs lo kfpfkity kurv`s (Nfs`[j`fr bispafk`g`dt fdb Nfs` Rlrqu` rltftild) fr` b`pikt`b id Oihur` 0.It is lns`rv`b tjft bydfgik r`suats klrr`spldbidh tl gfxigug bispafk`g`dt fdb rltftildlkkur ft bioo`r`dt tig` st`ps witj r`sp`kt tl tjft klrr`spldbidh tl tj` fkji`v`g`dt lo tj` aigitstft` (ku73.;0%). Id lrb`r tl p`rolrg f kldsist`dt klgpfrisld n`tw``d stftik fdb bydfgik

fdfays`s, skfaidh kl`ooiki`dts jfv` n``d tj`d idtrlbuk`b=

)(gfx,x

7

tKl`o

k

ku 5)(

-gfx,

7

tKl`o

k

ku (>)

wj`r` t fdb t fr` tj` tigidh st`ps lo bydfgik fdfaysis klrr`spldbidh tl gfxigugbispafk`g`dt fdb gfxigug rltftild lo tjirb oallr, r`sp`ktiv`ay, k,gfx(t) fdb k,gfx(t) fr`gfxigug kldkr`t` strfids klrr`spldbidh tl tigidh st`ps t fdb t, r`sp`ktiv`ay. Olr tj` 6>bydfgik fdfays`s, tj` g`fd vfau`s lo kl`ooiki`dts xKl`o fdb -Kl`o fr` 6.63 fdb 6.>8,r`sp`ktiv`ay olr kfs` d.6, wjiast olr kfs` d.> tj`y fr` 6.; fdb 6.39.Rj` r`suats lo aid`fr bydfgik fdfays`s ft tig` idstfdt t fdb t fr` tj`d guatipai`b ny tj`

fnlv` kl`ooiki`dts id lrb`r tl klgpfr` r`suats orlg stftik fdb bydfgik fdfays`s id tj` sfg`kldbitilds (tj` fttfidg`dt lo tj` uatigft` aigit stft`). Id Oihur` ?, tj` gfxigug vfau`s lotjls` r`splds` pfrfg`t`rs orlg 6> bydfgik fdfays`s fr` r`plrt`b fdb klgpfr`b witj tj`ofiaur` stft`s pr`bikt`b ny ORS olr bioo`r`dt vfau`s lo .Olr kfs` d.6, tj` r`suats, id t`rgs lo bispafk`g`dt-rltftild klupa`s klrr`spldbidh tl tj`fttfidg`dt lo tj` gfxigug rltftild lr gfxigug bispafk`g`dt, fr` quit` kals` tl `fkj ltj`r

n`kfus` lo tj` r`aftiv`ay r`buk`b irr`huafrity lo tj` struktur` (bu` tl its sgfaa `kk`dtrikity).Idb``b, olr tjis kfs` pusjlv`r fdfays`s witj w`ihjt kl`ooiki`dts 73.;3 fdb 3.?? hiv` r`suatskals` tl tj` g`fd vfau`s lo ofiaur` kldbitilds, klrr`spldbidh tl tj` fttfidg`dt lo tj`gfxigug bispafk`g`dt fdb gfxigug rltftild lo tj` struktur`, r`sp`ktiv`ay, wj`r`fs 73.2>klrr`spldbs tl tj` g`fd vfau` lo bydfgik stft`s wj`d tj` aigit stft` is fttfid`b.Olr kfs` d.>, bispafk`g`dt-rltftild klupa`s klrr`spldbidh tl tj` fttfidg`dt lo tj` gfxigug

rltftild lr tj` gfxigug bispafk`g`dt fr` v`ry bistfdt orlg `fkj ltj`r, bu` tl tj` afrh`r`kk`dtrikity lo tj` k`dtr` lo gfss lo tj` s`kldb struktur` (s`` Oihur` >). Id tjis kfs`, tj` stftikfdfaysis witj 73 ( ixix OO ,, 7 fdb Ri73) turds tl n` v`ry kals` tl tj` g`fd vfau` lo ofiaur`kldbitilds klrr`spldbidh tl tj` fttfidg`dt lo gfxigug bispafk`g`dt orlg tj` 6> bydfgikfdfays`s5 fdfalhlusay, tj` uatigft` kldbitild lntfid`b orlg stftik fdfaysis witj 73.9(i.`., ixix OO ,, 6.3 7 fdb ii RR 7 9.3 ) klidkib`s witj tj` g`fd vfau` lo ofiaur` kldbitildsklrr`spldbidh tl tj` fttfidg`dt lo tj` gfxigug rltftild.Rj`s` r`suats sjlw tjft, olr r`huafr struktur`s, tj` glst s`v`r` kldbitilds id tj` aid`fr rfdh`kfd n` pr`bikt`b fblptidh olrk`/tlrqu` bistrinutilds quit` kals` tl tj` oirst glb` bistrinutild(73.; fdb 3.? idst`fb lo 73.0). Ld tj` kldtrfry, olr irr`huafr struktur`s, sukj fs kfs` d.>,

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8/21/2019 Ferracuti B., Savoia M., Pinho R., Serpieri Maurizio- Seismic Analysis of Irregular RC Structures by 3D Force-Torque

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olrk`/tlrqu` bistrinutilds sigiafr tl tj` aigit bistrinutilds 73 fdb 76 fr` r`quir`b.Id tj` olaalwidh, f klgpr`j`dsiv` klgpfrisld lo r`suats orlg stftik fdb bydfgik fdfays`s ft

tig` st`ps klrr`spldbidh tl gfxigug bispafk`g`dt fdb gfxigug rltftild is p`rolrg`b.Olr kfs` d.6, bispafk`g`dts, idt`rstlr`y briots, oallr sj`frs id x bir`ktild, fdb oallr tlrqu`s

jfv` n``d r`plrt`b id Oihur`s 8f,n,k,b. ^`suats orlg stftik fdfaysis witj 73.?? fr` r`plrt`b

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oallrs.

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struktur`s j`ihjt jfv` n``d klrr`ktay pr`bikt`b. Id lrb`r tl klgpfr` tj` b`olrg`b

kldoihurftilds lo tj` orfg` struktur` udb`r s`isgik fktild fs pr`bikt`b ny stftik fdfaysis,bispafk`g`dt v`rsus rltftild lo tj` tjr`` oallrs is r`plrt`b id Oihur` 8`. Fatjluhj bydfgik

r`suats fr` sihdioikfdtay spr`fb, stftik fdfaysis (r`b plidts) pr`bikts v`ry w`aa tj` g`fd vfau`lo bydfgik r`suats (nafke plidts). Glr`lv`r, hllb fhr``g`dt kfd n` lns`rv`b n`tw``d r`suats

orlg stftik fdfaysis witj 73.;3 fdb g`fd vfau`s lo tj` 6> bydfgik fdfays`s ft tig` idstfdtklrr`spldbidh tl gfxigug bispafk`g`dt gfx(s`` Oihur`s : f,n,k,b).

2.> Dldaid`fr rfdh`

Id lrb`r tl idv`stihft` tj` `ooiki`dky lo tj` prlpls`b prlk`bur` id tj` dldaid`fr rfdh`,dldaid`fr gft`rifa glb`as olr kldkr`t` fdb st``a nfrs jfv` n``d idtrlbuk`b. Olr kfs` d.>,

pr`aigidfry r`suats id t`rgs lo bispafk`g`dt v`rsus rltftild fdb kfpfkity kurv`s hividh nfs`

sj`fr vs tlp bispafk`g`dt idxbir`ktild fr` r`plrt`b id Oihur` 9. Id tj` dldaid`fr rfdh`, g`fdvfau` lo ofiaur` kldbitilds klrr`spldbidh tl tj` fttfidg`dt lo tj` gfxigug bispafk`g`dt fdb

gfxigug rltftild lo tj` struktur` fr` kals`r tl `fkj ltj`r tjfd id tj` aid`fr kfs`. Rj` w`ihjt

kl`ooiki`dts hividh tj` olrk` bistrinutilds fna` tl pr`bikt tj` g`fd vfau`s klrr`spldbidh tltj` fttfidg`dt lo tj` gfxfdb gfxlo tj` struktur`, fr` 3.6; fdb 3.00 idst`fb lo 3 fdb 3.9 lotj` aid`fr rfdh`. Rjis r`suat s``gs tl kldoirg tjft id tj` dldaid`fr rfdh` tj` `oo`kt lo gfss

`kk`dtrikity t`dbs tl r`buk`.

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bir`ktild5 (k) [tlr`y sj`fr idxbir`ktild5 (b) [tlr`y tlrqu`.

Bydfgik Fdfays`s klrr`spldbidh tl gfx fdb ORS fdfaysiswitj73.;3

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8/21/2019 Ferracuti B., Savoia M., Pinho R., Serpieri Maurizio- Seismic Analysis of Irregular RC Structures by 3D Force-Torque

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F d`w prlk`bur` tl s`a`kt stlr`y olrk` bistrinutilds olr ;B pusjlv`r fdfaysis lo irr`huafr ^Korfg` struktur`s jfs n``d prlpls`b j`r`. Rj` glst s`v`r` kldoihurftilds id t`rgs logfxigug tlp bispafk`g`dt lr gfxigug rltftild kfd n` kfptur`b ny f w`ihjt`b bistrinutildlo olrk` r`suatfdt fdb tlrqu` bistrinutilds. F pr`aigidfry pfrfg`trik stuby tl vfaibft` tj`prlpls`b prlk`bur` jfs n``d p`rolrg`b id tj` aid`fr rfdh`. Hllb fhr``g`dt jfs n``d oludbn`tw``d stftik fdb bydfgik r`suats id t`rgs lo bispafk`g`dt fdb rltftild lo tj` k`dtr lo gfsslo tj` tlp oallr, idt`rstlr`y briot, oallr sj`fr fdb oallr tlrqu`. Id tj` dld aid`fr rfdh`, tlpr`bikt tj` glst s`v`r` b`olrgftild stft`s olr fd irr`huafr struktur ft a`fst twl bioo`r`dt olrk`bistrinutilds gust n` s`a`kt`b, id lrb`r tl kfptur` tj` n`jfvilur klrr`spldbidh tl gfxigugrltftild fdb gfxigug bispafk`g`dt lo tj` tlp oallr. Rj` lptigug vfau`s lo tj` bistrinutildw`ihjt kl`ooiki`dt () b`p`db ld tj` b`hr`` lo irr`huafrity lo tj` struktur`5 ourtj`r stubi`s fr`tjus d``b`b tl lntfid r`faistik idt`rvfas lo .

FKEDLXA@BH@G@DR[

Oidfdkifa supplrt lo tj` Itfaifd B`pfrtg`dt lo Kivia Srlt`ktild, tjrluhj tj` twl >330->33:

orfg`wlre prlhrfgg`s `stfnaisj`b witj tj` Itfaifd Dftildfa D`twlre lo @frtjqufe`@dhid``ridh Pdiv`rsity Afnlrftlri`s (^@API[, Rfse 8) fdb tj` @urlp`fd K`dtr` olr Rrfididh

fdb ^`s`frkj id @frtjqufe` @dhid``ridh (@PK@DR^@), is hrft`ouaay fkedlwa`bh`b.

^@O@^@DK@[

Kjlprf F. E., Hl`a ^. E., U>332W= F glbfa pusjlv`r fdfaysis prlk`bur` tl `stigft` s`isgik b`gfdbs

olr udsygg`trik-pafd nuiabidhs, @frtjqufe` @dh. fdb [trukt.Byd., ;;, pp. 93;-9>8.

Ofmofr S., Gfrusik B., S`rus I., U>330W= Rlrsildfa `oo`kts id tj` pusjlv`r-nfs`b s`isgik fdfaysis lo

nuiabidhs, Mlurdfa lo @frtjqufe` @dhid``ridh, _la. 9(?), pp. :;6-:02.

O`rrfkuti N., [fvlif G., Sidjl ^., Orfdkif ^. U>338W=_faibftild lo dld-aid`fr pusjlv`r fdfays`s ny

[tftistikfa Idkr`g`dtfa Bydfgik Fdfaysis ([-IBF),id Srlk``bidhsKLGSBYD, 6;-6? Mud` >338.

Glhjfbfg F.[., Rsl X.E., U>333W= Susjlv`r fdfaysis olr fsygg`trik fdb s`t-nfke guatistlr`y

nuiabidhs, id Srlk``bidhs, XK@@, 6>tj, Ppp`r Jutt, pfp`r 639;.

S`d`ais H.H., Efppls F.M., U>33>W= ;B Susjlv`r fdfaysis= Rj` issu` lo tlrsild, id Srlk``bidhs,

@urlp`fd Kldo`r`dk` ld @frtjqufe` @dhid``ridh, 6>tj, Aldbld, pfp`r 360.

[`isgl[lot U>338W= "[`isgl[trukt - F klgput`r prlhrfg olr stftik fdb bydfgik dldaid`fr fdfaysis lo

orfg`b struktur s"Uldaid`W, P^A=

jttp=//www.s`isglslot.klg.

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