Stress Intensity Factors for Structural Steel I-Beams
Publication: Journal of Structural Engineering
Volume 134, Issue 3
Abstract
The finite element method was used to develop accurate stress intensity factor (SIF) solutions for two-tip web cracks and symmetric three-tip cracks in I-beams under tension or bending. Governing parameters for cracked I-beams were determined. For web cracks, the SIF is a function of applied stress, crack length, eccentricity, and flange-to-web area ratio of W shape. For three-tip cracks in web and flange, the SIF is a function of applied stress, web and flange crack lengths, and flange-to-web area ratio. The flange-to-web area ratio accounts for the constraining effect of the flange on two-tip web cracks and the interaction effect on three-tip cracks. A total of 2,106 combinations of type of crack, type of loading, crack length, eccentricity, and flanges-to-web area ratio were analyzed. Numerical results were fitted with polynomial equations for ready use by practicing engineers.
Get full access to this article
View all available purchase options and get full access to this article.
References
Albrecht, P., and Yamada, K. (1977). “Rapid calculation of stress intensity factors.” J. Struct. Div., 103(2), 377–389.
American Institute of Steel Construction (AISC). (1986). Load and resistance factor design—Manual of steel construction, Chicago.
Barsoum, R. S. (1974). “Application of quadratic isoparametric finite elements in linear fracture mechanics.” Int. J. Fract., 10(4), 603–605.
Chen, X. G., and Albrecht, P. (1994). “Weight functions for eccentric cracks.” Fracture mechanics: Twenty-fourth volume, ASTM STP 1207, American Society for Testing and Materials, Philadelphia, 581–614.
Feng, D. (1996). “Stress intensity factors for structural steel I-beams.” Ph.D. thesis, Dept. of Mechanical Engineering, Univ. of Maryland, College Park, Md.
Fisher, J. W., Albrecht, P., Yen, B. T., Klingerman, D. J., and McNamee, B. M. (1974). “Fatigue strength of steel beams with welded stiffeners and attachments.” NCHRP Rep. No. 147, Transportation Research Board, Washington, D.C.
Fisher, J. W., Frank, K. H., Hirt, M. A., and McNamee, B. M. (1970). “Effect of weldments on the fatigue strength of steel beams.” NCHRP Rep. No. 102, Transportation Research Board, Washington, D.C.
Freese, C. E., and Tracy, D. M. (1976). “The natural isoparametric triangular verse collapsed quadrilateral for elastic crack analysis.” Int. J. Fract., 12(5), 767–770.
Greif, R., and Sanders, J. L. (1965). “The effect of a stringer on the stress in a cracked sheet.” J. Appl. Mech., 32(1), 59–66.
Hibbitt, Karlsson and Sorensen, Inc. (HKS). (1993). ABAQUS/standard user’s manual, version 5.3, Pawtucket, Rhode Island.
Isida, M. (1966). “Stress intensity factors for the tension of an eccentrically cracked strip.” J. Appl. Mech., 33(3), 674–675.
Isida, M. (1973). “Analysis of stress intensity factors for the tension of a centrally cracked strip with stiffened edges.” Eng. Fract. Mech., 5(3), 647–665.
Murakami, H. (1986). Stress intensity factor handbook, Pergamon, New York.
Rice, J. R. (1968). “A path independent integral and the approximate analysis of strain concentration by notches and cracks.” J. Appl. Mech., 35, 379–386.
Rooke, D. P., and Cartwright, D. J. (1976). Compendium of stress intensity factors, HMSO, London.
Sih, G. C. (1973). Handbook of stress intensity factors, Lehigh University Press, Bethlehem, Pa.
Tada, H., Paris, P. C., and Irwin, G. R. (1973). The stress analysis of cracks handbook, Del Research Corporation, Hellertown, Pa.
Information & Authors
Information
Published In
Copyright
© 2008 ASCE.
History
Received: Aug 29, 2005
Accepted: Jul 13, 2007
Published online: Mar 1, 2008
Published in print: Mar 2008
Notes
Note. Associate Editor: James S. Davidson
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.