journal article·2021-03

Effective Width of the Free Flange of the Ship’s Wide Beam with an Axis Bend

V. M. Sokov

Strength of Materials· Volume 53· Issue 2
Publisher page

Abstract

The strain-stress state (SSS) of a free flange of a constant width of the typical ship thin-walled beam with a break of an axis of I-section at elastic deformation is analyzed. The beam consists of a tapered part and prismatic parts of different heights, adjoining it. In the result of handling of data of SSS there was the methodology created for definition of an effective width and appropriate reduction factor for the dangerous cross section and along tapered part in the wide range of change of geometrical parameters. As investigations showed the behavior of a flange of an inclined/tapered part and in places of its break is complex for the reason of complex warping/deplanation and presence of stress concentrators, with the result that in a flange there is no plane stress state completely realized, necessary for calculation of an effective width after classic method. That’s why for the determination of an effective width of a flange of an inclined part there was used projection of components of SSS into its plane, so that a (quasi-) plane stress state was achieved, suitable for the application of the classic methodology of calculation of an effective width. As a result, the effective width depends on five independent parameters: width and thickness of a flange; angle of inclination of a tapered part; fillet radius in the place of transition from little height of a web to a tapered part; relation of heights of little and larger webs. Determination of an effective width took place considering only shear lag, without taking into account of buckling of a flange and web; there is excluded the influence of flexure component caused by local bending of flange platting by the way of definition of components of SSS at its middle surface. Also there is presented the verification of the Suslov formula assigned for the dangerous cross section of the investigated beam in the narrow range of changeable geometric parameters.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Composite Structure Analysis and Optimization · Material Properties and Applications · Structural mechanics and materials

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (18)

Show source-provided references
1. S. P. Timoshenko and J. N. Goodier, Theory of Elasticity, McGraw-Hill Book Company, New York (1970).
2. V. P. Suslov and A. A. Balandin, “On the reduction coefficient of beam belt with axis break,” in: Theses of All-Union Scientific and Technical Conference on Problems of Strength and Design of Large-Size Vessels [in Russian], Sudostroenie, Leningrad (1972), pp. 123–129.
3. L. Ascione, V. Berardi, L. Feo, et al., “Non-prismatic thin-walled beams: critical issues and effective modeling,” in: Proc. of AIMETA 2017 XXIII Conference (September 4–7, 2017, Salerno, Italy), Salerno (2017), pp. 301–308.
4. V. Z. Vlasov, Thin-Walled Elastic Rods [in Russian], Fizmatgiz, Moscow (1959).
5. V. I. Slivker, Construction Mechanics. Variation Bases [in Russian], ASV, Moscow (2005).
6. R. Schardt, Verallgemeinerte Technische Biegetheorie: Lineare Probleme, Springer-Verlag, Berlin–Heidelberg (1989).10.1007/978-3-642-52330-4 ↗
7. Y. K. Cheung, Finite Strip Method in Structural Analysis, Pergamon, Oxford (1976).
8. A. U. Bogdanovich, Thin-Walled Bars of Variable Cross-Section [in Russian], Kazan State Architecture and Construction University, Kazan (2008).
9. D. Shin, S. Choi, G.-W. Jang, and Y. Y. Kim, “Finite element beam analysis of tapered thin-walled box beams,” Thin Wall. Struct., 102, 205–214 (2016).10.1016/j.tws.2016.01.028 ↗
10. V. P. Suslov, Yu. P. Kochanov, and V. N. Spikhtarenko, Construction Mechanics of the Ship and the Bases of the Theory of Elasticity [in Russian], Sudostroenie, Leningrad (1972).
11. Y. H. Zhang and L. X. Lin, “Shear lag analysis of thin-walled box girders based on a new generalized displacement,” Eng. Struct., 61, 73–83 (2014).10.1016/j.engstruct.2013.12.031 ↗
12. M. Kraus, “Numerical approach for bending stress ascertainment in beam theory considering effects of elastic shear lag,” Eng. Struct. Technol., 9, No. 1, 1–8 (2017), https://doi.org/https://doi.org/10.3846/2029882X.2017.1299966.10.3846/2029882X.2017.1299966 ↗
13. Y. H. Zhang, “Improved finite-segment method for analyzing shear lag effect in thin-walled box girders,” J. Struct. Eng., 138, No. 10, 1279–1284 (2012).10.1061/(ASCE)ST.1943-541X.0000552 ↗
14. S. J. Zhou, “Finite beam element considering shear-lag effect in box girder,” J. Eng. Mech., 136, No. 9, 1115–1122 (2010).10.1061/(ASCE)EM.1943-7889.0000156 ↗
15. G. Visnjic, D. Nozak, F. Kosel, and T. Kosel, “Shear-lag influence on maximum specific bending stiffness and strength of composite I-beam wing spar,” P. I. Mech. Eng.-G Aer., 225, No. 5, 501–511 (2011).
16. B. Zou, A. Chen, J. F. Davalos, and H. A. Salim, “Evaluation of effective flange width by shear lag model for orthotropic FRP bridge decks,” Compos. Struct., 93, No. 2, 474–482 (2011).10.1016/j.compstruct.2010.08.033 ↗
17. Z. Lin and J. Zhao, “Revisit of AASHTO effective flange-width provisions for box girders,” J. Bridge Eng., 16, No. 6, 881–889 (2011).10.1061/(ASCE)BE.1943-5592.0000194 ↗
18. V. M. Sokov, “Investigation of the stress-strain free-belt mill of a beam with a brittle wall,” in: Collection of Scientific Papers of Admiral Makarov National University of Shipbuilding [in Ukrainian], Issue 2 (476), Mykolaiv (2019), pp. 8–13.