ارزیابی اثر متقابل نیروی برشی و لنگر خمشی در تیر- ورق های با جان موجدار

نوع مقاله : مقاله کامل پژوهشی

نویسندگان

دانشکده مهندسی عمران، دانشگاه تبریز

10.22034/ceej.2024.58225.2284

چکیده

تیر- ورق ­ها جزو عناصر باربر اصلی سازه­ های بزرگی نظیر پل­ ها می ­باشند که به­ جهت نوع کاربردشان باید ویژگی­ های هندسی و فیزیکی لازم را از لحاظ سختی و عدم کمانش احراز نمایند. در تیر- ورق­ های عادی، طراحی جان مسطح به­ همراه سخت­ کننده­ های افقی و قائم صورت می­ گیرد، اما امروزه مزایای طراحی با ورق موج­دار جان بیش از پیش مورد توجه قرار گرفته است. تیر- ورق­ های با جان موج­دار با حذف سخت­ کننده­ های افقی و قائم و همچنین کاهش ضخامت جان، موجب کاهش چشمگیر وزن و اجرای ساده در سازه­ های ساختمانی و پل ­ها شده است. هدف از این مطالعه، مقایسه مقاومت تیر- ورق های با جان موج­دار و مسطح با درنظر گرفتن اثر اندرکنش نیروی برشی و لنگر خمشی به ­ازای انواع شکل جان خواهد بود. در ابتدای این پژوهش، رفتار تیر- ورق­ های موج­دار شامل رفتار برشی، خمشی و ترکیبی مورد مطالعه قرار گرفته، پس از آن جهت صحت­ سنجی مدل ­های عددی، از مدل آزمایشگاهی Driver و همکاران (2006) استفاده شده است. در این مقاله، 12 نمونه تیر- ورق با جان ساده، 7 و 8 ای، ذوزنقه­ ای، مثلثی، سینوسی تحت بارگذاری گسترده با استفاده از نرم ­افزار المان محدود ABAQUS مدل­سازی شده، سپس با مقایسه مقاومت آن­ها بهترین شکل موج جان ارائه می­ شود. همچنین مقاومت این نوع از تیر- ورق­ ها به ­صورت یک­ دهانه و دودهانه مورد بررسی قرار گرفته شده است. در مطالعه اخیر، حجم فولاد مصرفی در تمام نمونه ­ها ثابت و نوع اعوجاج، فاصله اعوجاج و ضخامت جان تیر- ورق ­ها متغیر می ­باشند که با مطالعه و بررسی تمامی مدل­ های عددی، بهینه­ ترین حالت از بین آن­ها ارائه خواهد شد. تحلیل و بررسی نمونه ­ها نشان داد که موج­دار کردن جان تیر- ورق ­ها، مقاومت آن­ها را به­ طور محسوسی افزایش داده، همچنین متغیرهای موج و زاویه چین تأثیر بسیار زیادی بر روی عملکرد تیر- ورق­ های با جان موج­دار داشته است.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Evaluation of the Mutual Effect of Shear Force and Bending Moment in Plate Girders with Corrugated Webs

نویسندگان [English]

  • Hedayat Veladi
  • Mohammad Pouria Moosavi Solat Abad
  • Seyyed Hamid Lari
Faculty of Civil Engineering, University of Tabriz
چکیده [English]

Plate girders are among the main load-bearing elements of large structures such as bridges, which, due to their type of application, must meet the necessary geometric and physical characteristics in terms of hardness and non-buckling. The existence of corrugated web in the bridges greatly increases the bending stiffness of the girder. With the removal of stiffeners, plate girders with corrugated web, in addition to significantly reducing the weight of the structure, save the cost and time required for welding operations, and also significantly reduce the fatigue of girder due to welding operations. This issue can have a significant impact on structures such as bridges that are subject to successive loading and unloading. In plate girders with corrugated web, the bending resistance is created by the flanges of the girder, and the corrugated web does not contribute significantly to it, but it provides the shear capacity of the plate girder to a high extent. The failure in such girders is caused by steel yielding, buckling or interaction of these two phenomena. lateral twisting and local buckling of the flange are also considered as other important criteria of failure in this type of girders. One of the problems that mankind has been constantly facing is the buckling of thin web. Therefore, the determination of the resistance of corrugated web will be of special importance. So far, few studies have been done on the resistance of corrugated web under distributed loading. The purpose of this study is to compare the strength of corrugated and flat web plate girders by considering the interaction effect of shear force and bending moment according to the types of web shapes.

کلیدواژه‌ها [English]

  • Plate girder
  • Corrugated web
  • Interaction of shear force and bending moment
  • Distributed loading
ABAQUS Standard User’s Manual. The Abaqus Software is a product of Dassault Systèmes Simulia Corp, Providence, RI, USA Dassault Systemes, USA.
Abbas HH, Sause R, Driver RG, “Behavior of corrugated web I-girders under in-plane loads”, Journal of Engineering Mechanics, 2006, 132(8), 806-814. https://doi.org/10.1061/(ASCE)0733-9399(2006) 132:8(806).
Alinia MM, Shakiba M, Habashi HR, “Shear failure characteristics of steel plate girders”, Thin-Walled Steel Struct, 2009, 498-506. https://doi.org/10.1016/j.tws.2009.06.002.
Bryan ER, Jackson P, “The shear behaviour of corrugated steel sheeting”, Thin-Walled Steel Structures, 1969, 258-274.
Chan CL, Khalid YA, Sahari BB, Hamouda AMS, “Finite element analysis of corrugated web beams under bending”, Journal of Constructional Steel Research, 2002, 1391-1406. https://doi.org/10.1016/S0143-974X(01)00075-X
Driver RG, Abbas HH, Sause R, “Shear Behavior of Corrugated Web Bridge Girders”, Journal of Structural Engineering, 2006, 132 (2), 195-203. https://doi.org/10.1061/(ASCE)0733-9445(2006) 132:2(195)
Easley JT, McFarland DE, “Buckling of light-gage corrugated metal shear diaphragms”, Journal of Struct, 1969, 95 (7), 1497-1516. https://doi.org/10.1061/JSDEAG.0002313
Eldib MEA, “Shear buckling strength and design of curved corrugated steel webs for bridges”, Journal of Constr Steel Res, 2009, 2129-2139. https://doi.org/10.1016/j.jcsr.2009.07.002
Elgaaly M, “Thin steel plate shear walls behavior and analysis”, Thin-Walled Structures, 1998, 32, 151-180. https://doi.org/10.1016/S0263-8231(98)00031-7
Elgaaly M, Hamilton RW, Seshadri A, “Shear strength of beams with corrugated webs”, American Society of Civil Engineers, Journal Structural Engineering, 1996, 122 (4), 390-398. https://doi.org/10.1061/(ASCE)0733-9445(1996) 122:4(390)
Elgaaly M, Seshadri A, “Girders with corrugated webs under partial compressive edge loading”, Journal of Structural Engineering, 1997, 123 (6), 783-791. https://doi.org/10.1061/(ASCE)0733-9445(1997) 123:6(783)
Elgaaly M, Seshadri A, “Depicting the behavior of girders with corrugated webs up to failure using non-linear finite element analysis”, Advances in Engineering Software, 1998, 29 (3), 195-208. https://doi.org/10.1016/S0965-9978(98)00020-9
EN 1993-1-5, Eurocode 3, “Design of steel structures”, part 1-5: Plated structural elements, CEN. Brussels, 2006.
Ghanim G, Wael S, Baldawi, Ammar A, “A Review of composite steel plate girders with corrugated webs”, Engineering and Technology Journal, 2021, 39 (12), 1927-1938. https://doi.org/10.30684/etj.v39i12.2193
Graciano C, Casanova E, “Ultimate strength of longitudinally stiffened I-girder webs subjected to combined patch loading and bending”, Journal of Constructional Steel Research, 2005, 93-111. https://doi.org/10.1016/j.jcsr.2004.07.006
Hajdú G, Pasternak H, Papp F, “Lateral-torsional buckling assessment of I-beams with sinusoidally corrugated web”, Journal of Constructional Steel Research, 2023. https://doi.org/10.1016/j.jcsr.2023.107916
Ibrahim SA, “Lateral torsional buckling strength of unsymmetrical plate girders with corrugated webs”, Journal of Structural Engineering, 2014, 81, 123-134. https://doi.org/10.1016/j.engstruct.2014.09.040
Ibrahim SA, El-Dakhakhni WW, Elgaaly М, “Fatigue of corrugated web plate girders”, Journal of Structural Engineering, 2006, 132 (9), 1381-1392. https://doi.org/10.1061/(ASCE)0733-9445(2006) 132:9(1381)
Korashy M, Varga J, “Comparative investigation of fatigue strength of beams with web plate stiffened in the traditional way and by corrugation”, Acta Technica Academia Scientiarum Hungariche, Budapest, 1979.
Kovesdi B, “Patch loading resistance of girders with corrugated webs”, PhD Dissertation, Budapest University of Technology and Economics, 2010. https://doi.org/10.1016/j.jcsr.2010.05.011
Kovesdi B, Jager B, Dunai L, “Bending and shear interaction behavior of girders with trapezoidally corrugated webs”, Journal of Constructional Steel Research, 2016, 383-397. https://doi.org/10.1016/j.jcsr.2016.03.002
Larsson M, Persson J, “Lateral-Torsional Buckling of Steel Girders with Trapezoidally Corrugated Webs”, MSc thesis, Chalmers University of Technology, 2013.
Leblouba M, Junaid MT, Barakat S, Altoubat S, Maalej M, “Shear buckling and stress distribution in trapezoidal web corrugated steel beams”, Thin-Walled Struct, 2017, 13-26. https://doi.org/10.1016/j.tws.2017.01.002
Li Z, Pasternak H, Robra J, “Tragverhalten von wellstegträgern mit kreisförmigen öffnungskranz”, Bauingenieur, 2021, 96, 114-120. https://doi.org/10.37544/0005-6650-2021-04-50
Liew KM, Kitipornchai S, Peng LX, “Mesh-free methods for buckling analysis of stiffened and corrugated plates”, CRC Press, Book Cahpter, 2006. https://doi.org/10.1007/s00466-005-0721-2
Lopes GC, Carlos C, Real L, Lopes N, “Elastic critical moment of beams with sinusoidally corrugated webs”, Journal of Constructional Steel Research, 2017, 129, 185-194. https://doi.org/10.1016/j.jcsr.2016.11.005
Maiorana E, Pellegrino C, Modena C, “Imperfections in steel girders with and without perforations under patch loading”, Journal of Constructional Steel Research, 2009, 65, 1121-1129. https://doi.org/10.1016/j.jcsr.2008.10.007
Mohaddesi A, MohammadPoor B, “Investigation of the bending and shear behavior of I-shaped steel beams with corrugated webs”, 4th Conference of steel and structure, 2013.
Moon J, Yi JW, Choi BH, Lee HE, “Lateral-torsional buckling of I-girder with corrugated webs under uniform bending”, Thin-Walled Struct, 2009, 47, 21-30. https://doi.org/10.1016/j.tws.2008.04.005
Nguyen ND, Kim SN, Han SR, Kang YJ, “Elastic lateral-torsional buckling strength of I-girder with trapezoidal web corrugations using a new warping constant under uniform moment”, Journal Structural Engineering, 2010, 32, 2157-2165. https://doi.org/10.1016/j.engstruct.2010.03.018
Roberts TM, Shahabian F, “Ultimate resistance of slender web panels to combined bending shear and patch loading”, Journal of Constructional Steel Research, 2001, 57, 779-790. https://doi.org/10.1016/S0143-974X(01)00009-8
Robra J, Krasotina L, “Querkrafttragfähigkeit von sinusförmig profilierten Stahlträgerstegen mit runden und quadratischen Öffnungen”, Bauingenieur, 2019, 94, 285-291. https://doi.org/10.37544/0005-6650-2019-07-08 -63
Sause R, Abbas HH, Wassef WG, Driver RG, Elgaaly M, “Corrugated web girder shape and strength criteria”, Lehigh University, ATLSS Reports, 2003.
Sherman D, Fisher J, “Beams with corrugated webs”, Missouri University of Science and Technology, International Specialty Conference on Cold-Formed Steel Structures, 1971.
Wang J, Li Z, Robra J, Pasternak H, Euler M, “Investigation on shear buckling of corrugated web beams with reinforced web openings”, 2022. https://doi.org/10.1002/cepa.1800