Browse > Article
http://dx.doi.org/10.7781/kjoss.2012.24.6.671

Discrete Optimum Design of Sinusoidal Corrugated Web Girder  

Shon, Su Deok (School of Architectural Eng., Korea University of Technology and Education)
Yoo, Mi Na (School of Architectural Eng., Korea University of Technology and Education)
Lee, Seung Jae (School of Architectural Eng., Korea University of Technology and Education)
Publication Information
Journal of Korean Society of Steel Construction / v.24, no.6, 2012 , pp. 671-682 More about this Journal
Abstract
The use of sinusoidal corrugated web girder for the box-type girders and gable steel main frames has recently been increasing very much. The reasons are that the thin web of the girder affords a significant weight reduction compared with rolled beam and welded built-up girder, and that corrugation prevents the buckling failure of the web. Improvements of the automatic fabrication process makes mass production of the corrugated web and unit possible, and applications of this girder have been extended considerably. Thus, the research for the optimum design processer considering the production data is needed practically. For doing this research, we develope the discrete optimum structural design program in consideration of production list data for the research, and the program apply to the single girder under the uniform load and the concentrated load as numerical example. We consider objective function as minimum weight of the girder, and use slenderness ratio, stress of flanges and corrugated web, and the girder deflection as the constraint functions. And also the Genetic Algorithms is adopted to search the global minimum point by using the production list as a discrete design variable. Finally, to verify the optimality of the design, we conduct a comparison of the results of the discrete optimum design with those of the continuous one, and also analyze the characteristics of the optimum cross-section.
Keywords
discrete optimization; corrugated web girder; sinusoidal corrugation; genetic algorithms; discrete design variable;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
연도 인용수 순위
1 Easley, J.T. and McFarland, D.E. (1969) Buckling of Light-gage Corrugated Metal Shear Diaphragms, Journal of the Structural Division, ASCE, Vol. 95, No. ST7, pp.1497-1516.
2 Elgaaly, M. and Dagher, H. (1990) Beams and Girders with Corrugated Webs, Proceedings, SSRC Annual Technical Session, Bethlehem, PA, pp.37-53.
3 Abbas, H.H., Sause, R., and Driver, R. (2002) Shear Strength and Stability of High Performance Steel Corrugated Web Girders, Proceedings, Structural Stability Research Council, pp.361-387.
4 Chan, C.L., Khalid, Y.A., Sahari, B.B., and Hamouda, A.M.S. (2002) Finite Element Analysis of Corrugated Web Beams under Bending, Journal of Constructional Steel Research, Vol. 58, pp.1391- 1406.   DOI   ScienceOn
5 Abbas, H.H. (2003) Analysis and Design of Corrugated Web I-girders for Bridges using High Performance Steel, Ph.D dissertation, Lehigh University, Bethlehem, Pa.
6 Driver, R., Abbas, H.H., and Sause, R. (2006) Shear Behavior of Corrugated Web Bridge Girders, Journal of Structural Engineering, ASCE, Vol. 132, No. 2, pp.195-203.   DOI   ScienceOn
7 Moon, J., Yi, J., Choi, H.H., and Lee, H.E. (2009) Shear Strength and Design of Trapezoidally Corrugated Steel Webs, Journal of Constructional Steel Research, vol. 65, pp.1198-1205.   DOI   ScienceOn
8 김성남, 전진수, 느규옌 반 반, 강영종(2008) 파형 복부판을 갖는 I형 거더의 비틀림 거동 연구, 2008년도 학술대회발표집, 한국강구조학회, pp.407-410. Kim, S.N., Jun, J.S., Nguyen, Van Ban and Kang, Y.J. (2008) Study on Torsional Behavior of I-Girder with Corrugated Webs, Proceedings of Annual Conference of Korean Society of Steel Construction, pp.407-410 (in Korean).
9 이재민, 김성남, 한금호, 강영종(2009) 파형 복부판 I형 거더의 비틀림 거동에 대한 해석적 연구, 2009년도 학술대회발표집, 한국강구조학회, pp.119-120. Lee, J.M., Kim, S.N., Han, K.H., and Kang, Y.J. (2009) Analysis of Torsional Behavior of Corrugated Web I-girder, Proceedings of Annual Conference of Korean Society of Steel Construction, pp.119-120 (in Korean).
10 뉴웬 녹 융, 김성남, 강영종(2010) 순수휨을 받는 사인파형 복부판 I형 거더의 횡-비틀림 좌굴 강도, 2010년도 학술대회발표집, 한국강구조학회, pp.77-78. Nguyen, N.D., Kim, S.N., and Kang, Y.J. (2010) Lateral-torsional buckling strength of I-girder with sinusoidal web corrugations under uniform bending, Proceedings of Annual Conference of Korean Society of Steel Construction, pp.77-78 (in Korean)
11 김성남, Ngoc Duong Nguyen, 한승룡, 강영종(2011) 파형 복부판 거더의 횡비틀림 좌굴 강도, 2011년도 학술대회발표집, 한국강구조학회, pp.125-126. Kim, S.N., Ngoc Duong Nguyen, Han, S.R., and Kang, Y.J. (2011) Lateral-Torsional Buckling Strength of Corrugated Web I-Girder, Proceedings of Annual Conference of Korean Society of Steel Construction, pp.125-126 (in Korean).
12 오재열, 이득행, 김강수, 황진하(2011) 파형보의 아코디온효과에 대한 해석적 연구, 2011년도 학술대회발표집, 한국강구조학회, pp.285-286. Oh, J.Y., Lee, D.H., Kim, K.S., and Hwang, J.H. (2011) Analytical Study on the Accordion Effect of Steel Beams with Corrugated Webs, Proceedings of Annual Conference of Korean Society of Steel Construction, pp.285-286 (in Korean).
13 지효선(2011) 파형 복부판을 갖는 플레이트 거더의 좌굴거동, 강구조학회논문집, 한국강구조학회, 제23권, 제2호, pp.221-228. Ji, H.S. (2011) Buckling Behaviors of Plate Girder with Corrugated Steel Web, Journal of Korean Society of Steel Construction, Vol. 23, No. 2, pp.221-228 (in Korean).   과학기술학회마을
14 Siokola, W. and Poster, H. (1999) Fabrication Tools for Corrugated Web I-beams, Modern Steel Construction, American Institute of Steel Construction, pp.42-45.
15 Pasternak, H. and Hannebauer (2004) 4. Trager mit profilierten Stegen, Stahlbau Kalender 2004, Ernst & Shon, German, pp.449-492.
16 Pasternak, H. and Kubieniec, G. (2010) Plate girders with corrugated webs, Journal of civil engineering and management, No. 16(2), pp.166- 171.   DOI
17 Zhang, W., Li, Y., Zhou, Q., Qi, X., and Widera, G.E.O. (2000) Optimization of the Structure of an H-beam with either a Flat or a Corrugated Web: Part3. Development and Research on H-beams with Wholly Corrugated Webs, Journal of Materials Processing Technology, Vol. 101, pp.119-123.   DOI   ScienceOn
18 Mitchell, M. (1999) An Introduction to Genetic Algorithms, MIT press.
19 손수덕, 이승재(2011) 실수형 유전자 알고리즘을 이용한 사인형 주름 웨브 보의 최적구조설계, 강구조학회논문집, 한국강구조학회, 제23권, 제5호, pp.581-593. Shon, S.D. and Lee, S.J. (2011) Optimum Structural Design of Sinusoidal Corrugated Web Beam Using Real-valued Genetic Algorithm, Journal of Korean Society of Steel Construction, Vol. 23, No. 5, pp.581-593 (in Korean).   과학기술학회마을
20 Li, Y., Zhang, W., Zhou, Q., Qi, X., and Widera, G.E.O. (2000) Buckling Strength Analysis of the Web of a WCW H-beam: Part2. Development and Research on H-beams with Wholly Corrugated Webs(WCW), Journal of Materials Processing Technology, Vol. 101, pp.115-118.   DOI   ScienceOn
21 이말숙, 윤영묵, 손수덕(2006) 개선소성힌지해석과 유전자 알고리듬을 이용한 평면 강골조 구조물의 퍼지최적설계, 강구조학회논문집, 한국강구조학회, 제18권, 제2호, pp.147-160. Lee, M.S., Yun, Y.M., and Shon, S.D. (2006) Fuzzy Optimum Design of Plane Steel Frames Using Refined Plastic Hinge Analysis and a Genetic Algorithm, Journal of Korean Society of Steel Construction, Vol, 18, No. 2, pp.147-160 (in Korean).   과학기술학회마을
22 김종성, 손수덕(2001) 박공형 철골건물의 GA와 동적계획법을 이용한 최적설계에 관한 연구, 대한건축학회논문집- 구조계, 대한건축학회, 제17권, 제11호, pp.51-58. Kim, J.S. and Shon, S.D. (2001) A Study of the Optimum Design for Gable Steel Frame using GA and Dynamic Optimization, Journal of Architecture Institute of Korea (Structure), Vol. 17, No. 11, pp.51-58 (in Korean).   과학기술학회마을
23 DASt-Richtlinie 015 (1990) Trager mit schlanken Stegen, Stahlbau-V., German (in German).
24 DIN 18800 (1990) Stahlbauten Teil 1-3, German (in German)
25 EN 1993-1-5(1993), Eurocode 3 - Design of steel structures - Part 1-5 Plated structural elements.
26 Siokola, W. (1999) Wellstegtrager Technische Dkumentation, 2. Auflage, Zeman & Co Gesellschaft mbH, Wien (in German).