INFLUENCE OF THE NONLINEAR BEHAVIOR OF SEMI-RIGID CONNECTIONS ON THE ANALYSIS OF LOW-RISE STEEL FRAMED STRUCTURES A THESIS SUBMITTED TO THE GRADUATE SCHOOL OF NATURAL AND APPLIED SCIENCES OF MIDDLE EAST TECHNICAL UNIVERSITY BY ZAFER KARAKA(cid:147) IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF SCIENCE IN CIVIL ENGINEERING JANUARY 2017 Approval of the thesis: INFLUENCE OF THE NONLINEAR BEHAVIOR OF SEMI-RIGID CONNECTIONS ON THE ANALYSIS OF LOW-RISE STEEL FRAMED STRUCTURES submitted by ZAFER KARAKA(cid:147) in partial ful(cid:28)llment of the requirements for the degree of Master of Science in Civil Engineering Department, Middle East Technical University by, Prof. Dr. G(cid:252)lbin Dural (cid:220)nver Dean, Graduate School of Natural and Applied Sciences Prof. Dr. (cid:157)smail (cid:214)zg(cid:252)r Yaman Head of Department, Civil Engineering Assoc. Prof. Dr. Af‡in Sar(cid:25)ta‡ Supervisor, Civil Engineering Department, METU Examining Committee Members: Prof. Dr. Cem Topkaya Civil Engineering Department, METU Assoc. Prof. Dr. Af‡in Sar(cid:25)ta‡ Civil Engineering Department, METU Assoc. Prof. Dr. (cid:214)zg(cid:252)r Kur(cid:231) Civil Engineering Department, METU Assist. Prof. Dr. Ozan Cem ˙elik Civil Engineering Department, METU Assist. Prof. Dr. Saeid Kazemzadeh Azad Civil Engineering Department, At(cid:25)l(cid:25)m University Date: 27/01/2017 I hereby declare that all information in this document has been ob- tained and presented in accordance with academic rules and ethical conduct. I also declare that, as required by these rules and conduct, I have fully cited and referenced all material and results that are not original to this work. Name, Last Name: ZAFER KARAKA(cid:147) Signature : iv ABSTRACT INFLUENCE OF THE NONLINEAR BEHAVIOR OF SEMI-RIGID CONNECTIONS ON THE ANALYSIS OF LOW-RISE STEEL FRAMED STRUCTURES Karaka‡, Zafer M.S., Department of Civil Engineering Supervisor : Assoc. Prof. Dr. Af‡in Sar(cid:25)ta‡ January 2017, 94 pages In this thesis, the in(cid:29)uence of several parameters to hysteretic behavior of semi- rigid connections on general response of low-rise special moment resisting frames (SMRF) is investigated. Two di(cid:27)erent types of low-rise structures, which are presented in SAC steel project, are taken into account. 1997 NEHRP (FEMA 1997a) and 1997 AISC provisions compliant (cid:29)exible (lower bound) and rigid (upperbound)framesareselectedtoexaminethein(cid:29)uenceofnonlinearbehavior of connections on structural system response. Perimeter moment frames carry all of the seismic loads. OpenSees software is used in the analyses performed as part of this study. Beams and columns are modeled using nonlinear force- based beam-column frame elements. Semi-rigid connections are modeled using zero length rotational spring elements with hysteretic material response. In order to include P-∆ e(cid:27)ects of gravity frames in the analysis, an additional imaginary bay with a leaning dummy column is added. Sti(cid:27)ness and strength v due to this additional bay is negligible because leaning dummy column is pin connected at the ends and the beams are considered as rigid trusses. Nonlinear geometric e(cid:27)ects are included by utilizing corotational transformation. Shear e(cid:27)ect of the elements is accurately taken into consideration in the structural models. Modal, nonlinear static (pushover) and nonlinear time history analyses areconducted. Thecombinedin(cid:29)uencesofconnection’srotationalsti(cid:27)ness,yield moment and peak moment, mild or severe pinching and presence of strength loss or no strength loss are investigated in this study. Two sets of twenty ground motion records scaled to match seismic hazard levels of 10% and 2% probability of exceedance in 50 years are used for the nonlinear time history analyses. In terms of mean and median of interstory drift ratios (IDR), low-rise SMRF with semi-rigidconnectionsdonotreachcollapseprevention(CP)limitof5%. In84th percentile of IDR, lower bound frames exceed the limit when connections are partial strength and have severe pinching with strength loss. In 95th percentile of IDR, all frames exceed the limit. Keywords: Semi-Rigid Connections, Nonlinear Analysis, Steel Special Moment Resisting Frames, Pinching E(cid:27)ect, Hysteretic Behavior vi (cid:214)Z YARI R(cid:157)J(cid:157)T BA(cid:135)LANTILARIN DO(cid:135)RUSAL OLMAYAN DAVRANI(cid:147)ININ AZ KATLI ˙EL(cid:157)K YAPILARIN ANAL(cid:157)ZLER(cid:157) (cid:220)ZER(cid:157)NDEK(cid:157) ETK(cid:157)S(cid:157)N(cid:157)N ARA(cid:147)TIRILMASI Karaka‡, Zafer Y(cid:252)ksek Lisans, (cid:157)n‡aat M(cid:252)hendisli§i B(cid:246)l(cid:252)m(cid:252) Tez Y(cid:246)neticisi : Do(cid:231). Dr. Af‡in Sar(cid:25)ta‡ Ocak 2017 , 94 sayfa Bu tezde, yar(cid:25) rijit ba§lant(cid:25)lar(cid:25)n histeretik davran(cid:25)‡(cid:25)na etkiyen birka(cid:231) paramet- renin, az katl(cid:25) (cid:246)zel moment dayan(cid:25)ml(cid:25) (cid:231)er(cid:231)evelerdeki genel etkisi ara‡t(cid:25)r(cid:25)lm(cid:25)‡t(cid:25)r. SAC (cid:231)elik projesinde sunulan iki farkl(cid:25) az katl(cid:25) yap(cid:25) t(cid:252)r(cid:252) dikkate al(cid:25)nm(cid:25)‡t(cid:25)r. Ayn(cid:25) zamanda 1997 NEHRP (FEMA 1997a) ve 1997 AISC ‡artnamelerine de uyan bu esnek (alt limit) ve rijit ((cid:252)st limit) (cid:231)er(cid:231)eveler, ba§lant(cid:25)lar(cid:25)n do§rusal olma- yan davran(cid:25)‡(cid:25)n(cid:25)n yap(cid:25)sal sistem tepkisi (cid:252)zerindeki etkisini ara‡t(cid:25)rmak amac(cid:25)yla se(cid:231)ilmi‡tir. Moment aktaran d(cid:25)‡ (cid:231)er(cid:231)eve t(cid:252)m sismik y(cid:252)kleri ta‡(cid:25)maktad(cid:25)r. Bu (cid:231)a- l(cid:25)‡man(cid:25)n bir par(cid:231)as(cid:25) olarak OpenSees yaz(cid:25)l(cid:25)m(cid:25) analizlerde kullan(cid:25)lm(cid:25)‡t(cid:25)r. Kolon ve kiri‡ler, do§rusal olmayan kuvvet temelli kolon-kiri‡ (cid:231)er(cid:231)eve elemanlar(cid:25) kulla- n(cid:25)larak modellenmi‡tir. Yar(cid:25) rijit ba§lant(cid:25)lar, histeretik malzeme davran(cid:25)‡(cid:25) olan noktasal d(cid:246)nme yay elemanlar(cid:25) kullan(cid:25)larak modellenmi‡tir. Moment aktarma- yan (cid:231)er(cid:231)evelerin P-∆ etkilerini analize dahil etmek i(cid:231)in, (cid:28)ktif bir kolon i(cid:231)eren vii bir a(cid:231)(cid:25)kl(cid:25)k eklenmi‡tir. Bu hayali a(cid:231)(cid:25)kl(cid:25)§a ba§l(cid:25) rijitlik ve dayan(cid:25)m ihmal edile- bilir, (cid:231)(cid:252)nk(cid:252) (cid:28)ktif kolon u(cid:231)larda sabit mesnetle ba§lanm(cid:25)‡t(cid:25)r ve kiri‡ler de rijit (cid:231)ubuklar olarak kabul edilmi‡tir. Do§rusal olmayan geometrik etkiler, analizlere korotasyonel form(cid:252)lasyon kullan(cid:25)larak dahil edilmi‡tir. Elemanlar(cid:25)n kesme etkisi ger(cid:231)ek(cid:231)i bir ‡ekilde modellemede dikkate al(cid:25)nm(cid:25)‡t(cid:25)r. Hem statik itme analizi hem de zaman tan(cid:25)m alan(cid:25)nda do§rusal olmayan analiz yap(cid:25)lm(cid:25)‡t(cid:25)r. Bu (cid:231)al(cid:25)‡mada, ba§lant(cid:25)n(cid:25)n rotasyonel rijitlik, akma momenti ve en y(cid:252)ksek momenti, az ya da (cid:231)ok seviyede daralma, ve dayan(cid:25)m d(cid:252)‡(cid:252)‡(cid:252) olmas(cid:25) ya da olmamas(cid:25) durumlar(cid:25)n(cid:25)n m(cid:252)‡terek etkileri ara‡t(cid:25)r(cid:25)lm(cid:25)‡t(cid:25)r. Zaman tan(cid:25)m alan(cid:25)nda do§rusal olmayan analiz i(cid:231)in, 50 y(cid:25)lda %10 a‡(cid:25)lma olas(cid:25)l(cid:25)§(cid:25) ve 50 y(cid:25)lda %2 a‡(cid:25)lma olas(cid:25)l(cid:25)§(cid:25) ile (cid:246)l(cid:231)eklendi- rilmi‡ yirmi‡er deprem kayd(cid:25) bulunan iki set kullan(cid:25)lm(cid:25)‡t(cid:25)r. Modal analiz, statik itmeanalizivezamantan(cid:25)malan(cid:25)ndado§rusalolmayananalizlersonras(cid:25)ndaelde edilen sonu(cid:231)lar sunulmu‡tur. Anahtar Kelimeler: Yar(cid:25) Rijit Ba§lant(cid:25)lar, Do§rusal Olmayan Analiz, ˙elik (cid:214)zel Moment ˙er(cid:231)eveler, Daralma Etkisi, Histeretik Davran(cid:25)‡ viii To my family G(cid:246)n(cid:252)l Karaka‡, M. (cid:147)e(cid:28)k Karaka‡, (cid:214)nder Karaka‡ and Nadiye Karaka‡ ix ACKNOWLEDGMENTS I would like to express my gratitude to my supervisor, Assoc. Prof. Dr. Af‡in Sar(cid:25)ta‡, whose immense knowledge, understanding, and patience contributed to my development as a graduate student. Without his continuous support, guidance, motivation, and encouragement, this research would not be possible. It was a great honor to work with him. Besides my supervisor, I would like to thank the committee members, Prof. Dr. Cem Topkaya, Assoc. Prof. Dr. (cid:214)zg(cid:252)r Kur(cid:231), Assist. Prof. Dr. Ozan Cem ˙elik, Assist. Prof. Dr. Saeid Kazemzadeh Azad, for their time and contributions on this thesis. Their insightful comments and suggestions, along with hard questions directed me to broaden my perspectives for the research. This study is supported by the Scienti(cid:28)c and Technological Research Council of Turkey (T(cid:220)B(cid:157)TAK) with the project number of 113M223. I would like to express my gratitude to T(cid:220)B(cid:157)TAK for their support and funding in this study. I would like to thank Yi§it (cid:214)z(cid:231)elik for guidance and contributions in this thesis. I would also like to thank fellow graduate students; Alper Aldemir, Beyaz(cid:25)t B. Ayd(cid:25)n, Murat Bayraktar, Erhan Budak, (cid:157). Ozan Demirel, Furkan G(cid:246)k- men, H. F(cid:25)rat (cid:214)zel, Ali Can Tatar, Erman Toraman, Ert(cid:252)rk Tuncer and M. Burak Ye‡ilyurt, and my friends; Ali E. Arslan, Mustafa ˙elikkaya, Candan Do§an, Berksu Erkal, Mert Kaya, Efe Orhan, Onur (cid:214)zcan, Buket (cid:147)ahin, Osman Ta‡tekin and Oytun Y(cid:252)ksel for their support and contribution in this study. Finally, I must express my profound gratitude to my family for providing me with continuous support and encouragement throughout my studies. This ac- complishment would not be possible without them. x
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