Shear Stress Calculation and Distribution in Variable Cross Sections of Box Girders with Corrugated Steel Webs
Publication: Journal of Structural Engineering
Volume 142, Issue 6
Abstract
Based on the condition of static equilibrium and the equivalent law of shearing stress of an infinitesimal segment, this paper provides a strict derivation of the general formula for shearing stress in a nonuniform box girder with corrugated steel webs in the elastic stage. The derived formula is applied to investigate the stress distribution in concrete flanges and corrugated steel webs. Additional shear stress was found to be caused by the bending moment, and the axial force should be included in calculations from the effect of variable cross sections, which are quite different from that of the uniform cross sections. Moreover, because the additional shear stress of the bending moment is self-balanced, the shear force distribution can be adjusted between the concrete slabs and steel webs. Research shows that shear stress decreases markedly in the webs, whereas the shear stress apparently increases in the inclined bottom flange in the action of the bending moment. This study also found and explained the phenomenon that shear stress in the lower surface of the inclined bottom flange is not zero. In the elastic stage, the proposed formula is in good agreement with the results of the three-dimensional (3D) finite-element analysis for a cantilever beam. This example shows that the classic method of material mechanics is no longer suitable for the calculation of a nonuniform beam. Finally, because the formula is too complex to be extensively executed by engineers, two simplified calculation methods are put forward considering the equivalent force principle, and the simplified calculation methods are proved to be valid and applicable according to the contrasting results with the nonuniform mathematical formula.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This study was supported by the National Nature Science Foundation of People’s Republic of China (Grant 51478107). The financial supports are gratefully acknowledged.
References
ABAQUS [Computer software]. Abaqus Inc., RI.
Abbas, H. H., Sause, R., and Driver, R. G. (2002). “Shear strength and stability of high performance steel corrugated web girders.” Proc., Annual Stability Conf., Structural Stability Research Council, 361–387.
Aravena, L., and Edlund, B. (1987). “Trapezoidally corrugated panels, buckling behavior under axial compression and shear.” Chalmers Univ. of Technology, Gothenburg, Sweden.
Cheyrezy, M., and Combault, J. (1990). “Composite bridges with corrugated steel webs achievement and prospects.” IABSE Symp. Mixed Structures Including New Materials, IABSE, Zurich, Switzerland, 479–484.
Driver, R. G., Abbas, H. H., and Sause, R. (2006). “Shear behavior of corrugated web bridge girders.” J. Struct. Eng., 195–203.
Elgaaly, M., Hamilton, R. W., and Seshadri, A. (1996). “Shear strength of beams with corrugated webs.” J. Struct. Eng., 390–398.
Fujioka, A., and Kakuta, T. (2005). “Application of the corrugated steel webs to PCT-girder bridge: Sou river bridge.” Proc., 6th Symp. Hybrid Structure, Japan, 1–8 (in Japanese).
Hamilton, R. W. (1993). “Behavior of welded girders with corrugated webs.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Maine, Orono, Maine.
Hassanein, M. F., and Kharoob, O. F. (2014). “Shear buckling behavior of tapered bridge girders with steel corrugated webs.” Eng. Struct., 74, 157–169.
Hassanein, M. F., and Kharoob, O. F. (2015). “Linearly tapered bridge girder panels with steel corrugated webs near intermediate supports of continuous bridges.” Thin Wall Struct., 88, 119–128.
He, J., Liu, Y., and Chen, A. (2012). “Mechanical behavior and analysis of composite bridges with corrugated steel webs: State-of-the-art.” Int. J. Steel Struc., 12(3), 321–338.
Höglund, T. (1997). “Shear buckling resistance of steel and aluminium plate girders.” Thin Wall Struct., 29(1), 13–30.
Jia, H. J. (2015). “Studies on structural properties of the variable cross sectional PC composite box-girder bridge with corrugated steel webs.” Ph.D. thesis, Dept. of Civil Engineering, Southeast Univ., Nanjing, China.
Jiang, R., Kwong Au, F., and Xiao, Y. (2014). “Prestressed concrete girder bridges with corrugated steel webs: Review.” J. Struct. Eng., 04014108.
Johnson, R. P., Cafolla, J., and Bernard, C. (1997). “Corrugated webs in plate girders for bridges.” Proc., ICE-Structure B, 122(2), 157–164.
Kadotani, T., Aoki, K., Ashizuka, K., Mori, T., Tomimoto, M., and Kano, M. (2002). “Shear buckling behavior of prestressed concrete girders with corrugated steel webs.” Proc., 1st fib Congress, Session 5: Composites Structure, Osaka, Japan, 269–276.
Kövesdi, B., Jáger, B., and Dunai, L. (2012). “Stress distribution in the flanges of girders with corrugated webs.” J. Constr. Steel Res., 79, 204–215.
Lebon, J. (1998). “Steel corrugated web bridges-first achievements.” Proc., 5th Int. Conf. on Short and Medium Span Bridges, CSCE, Calgary, Canada.
Li, S. Q., and Wan, S. (2011). Design and manufacture of corrugated steel webs, China Communications Press, Beijing (in Chinese).
Li, Z. H., Dong, M., and Cui, B. (2012). “Calculation of shear stress for corrugated steel webs by considering concrete shear capability and effect of variable cross section.” China J. Civ. Eng., 45(2), 85–89 (in Chinese).
Luo, R., and Edlund, B. (1996). “Shear capacity of plate girders with trapezoidally corrugated webs.” Thin Wall Struct., 26(1), 19–44.
Rosignoli, M. (1999). “Prestressed concrete box girder bridges with folded steel plate webs.” Proc. ICE-Struct. B, 134(1), 77–85.
Sayed-Ahmed, E. Y. (2001). “Behaviour of steel and (or) composite girders with corrugated steel webs.” Can. J. Civ. Eng., 28(4), 656–672.
Sayed-Ahmed, E. Y. (2005). “Local flange and lateral torsion-flexure buckling of corrugated web steel girders.” Proc. ICE-Struct. B, 158(1), 53–69.
Sayed-Ahmed, E. Y. (2007). “Design aspects of steel I-girders with corrugated steel webs.” Electron. J. Struct. Eng., 7, 27–40.
Shiratani, H., Sakashita, K., Obi, H., and Fujikura, S. (2002). “Behavior of corrugated steel web girder around middle support.” Proc., 1st fib Congress, Session 5: Composites Structure, Japan, 261–268.
Shitou, K., Nakazono, A., and Suzuki, N. (2008). “Experimental research on shear behavior of corrugated steel web bridge.” J. Jpn. Soc. Civ. Eng., 64(2), 223–234 (in Japanese).
Su, J., and Liu, Z. (2010). “Shear stress calculation and distribution in non-prismatic box beams with corrugated steel webs.” Struct. Eng., 26(6), 32–36 (in Chinese).
Wu, W. Q., Ye, J. S., and Wan, S. (2005). “Quasi plane assumption and its application in steel-concrete composite box girders with corrugated steel webs.” Eng. Mech., 22(5), 177–180 (in Chinese).
Yamazaki, M. (2001). “Buckling strength of corrugated webs.” Struct. Eng. Res. JSCE, 47, 19–26 (in Japanese).
Yi, J., Gil, H., and Youm, K. (2008). “Interactive shear buckling behavior of trapezoidally corrugated steel webs.” Eng. Struct., 30(6), 1659–1666.
Zhong, H. (2006). “Research on the shear connector of box girder with corrugated steel webs and connection forms between corrugated steel webs.” MS.D. thesis, Dept. of Civil and Environmental Engineering, Univ. of Chongqing, Jiaotong, Chongqing, China.
Information & Authors
Information
Published In
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Jan 27, 2015
Accepted: Nov 24, 2015
Published online: Jan 27, 2016
Published in print: Jun 1, 2016
Discussion open until: Jun 27, 2016
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.