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Tytuł artykułu

Effect of end-shortening on the response of a steel cantilever beam with an opening

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This study is a continuation of our previous study that comprehensively dealt with the response of a slender cantilever beam with an opening of different geometry (circular, elliptical and square, respectively), having the same cross-sectional area, placed at different positions of the beam's span. The effect of end-shortening that becomes important at a high load is included in the present analysis. Obviously, stresses in these beams increase significantly due to the opening. Based on numerical calculations considering geometric nonlinearity and the effect of end shortening, it is found however, that the maximum values of the stresses are actually much smaller than their predictions are by linear theory without considering end-shortening. These stresses remain well below the proportional limit of highly elastic steel. Further, a similar analysis was performed for the case of a cantilever beam of a constant cross-section. It is found that the nonlinear analysis with end-shortening is much more important for a beam with an opening than it is for a beam of a constant cross-section. Though the topic chosen for this paper corresponds to a highly nonlinear boundary value problem, the numerical simulation scheme devised is sound enough to predict the response of the variable cross-section beams with high accuracy. Experimental results obtained by another research group have been compared by simulation; a very good agreement proves the soundness of the present numerical simulation scheme.
Rocznik
Strony
735--751
Opis fizyczny
Bibliogr. 9 poz., tab., wykr.
Twórcy
autor
autor
  • Department of Mechanical Engineering Bangladesh University of Engineering and Technology (BUET) Dhaka 1000, BANGLADESH, ashiq@me.buet.ac.bd
Bibliografia
  • Bele'ndez T., Pe'ro-Polo M., Neipp C. and Bele'ndez A. (2005): Numerical and experimental analysis of large deflections of cantilever beams under a combined load. - Physica scripta, vol.T118, pp.61-65.
  • Bratus A.S. and Posvyanskii V.P. (2000): The optimum shape of a bending beam. - Journal of Applied Mathematics and Mechanics, vol.64, No.6, pp.993-1004.
  • Bunce J.W. and Brown E.H. (1976): Non-linear bending of thin, ideally elastic rods. - International Journal of Mechanical Sciences, vol.18, No.9-10, pp.435-441.
  • Lee K. (2002): Large deflection of cantilever beams of non-linear elastic material under a combined loading. - International Journal of Non-linear Mechanics, vol.37, No.3, pp.439-443.
  • Lewis G. and Monasa F. (1982): Large deflections of cantilever beams of non-linear materials of the Ludwick type subjected to an end moment. - International Journal of Non-linear Mechanics, vol.17, No.1, pp.1-6.
  • Matulewicz Z. and Szymczak C. (1985): The optimum design of thin-walled I beams undergoing torsion. - Thin-walled Structures, vol.3, No.2, pp.135-144.
  • Rahman M.A., Chowdhury R.K. and Ahsan M.M.R. (2005): Response of a Slender Cantilever Beam with a Circular Hole- Experiment and Large Deflection Analysis. - JMED, Institution of Engineers, Bangladesh, ME34, pp.46-59.
  • Rahman M.A., Rahman S. and Hossain A.H.M.Z. (2007): Large Deflection Analysis of Cantilever Beams with an Opening. - International Journal of Applied Mechanics and Engineering, Poland (In Press), vol.12 (1), pp.169-181.
  • Rahman M.A., Tani J. and Afsar A.M. (2006): Postbuckling Behaviour of Stainless Steel (SUS304) Columns Under Loading-unloading Cycles. - Journal of Constructional Steel Research (Elsevier Science Ltd.). 62(2006), pp.812-819.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0037-0030
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