{"title":"Effect of the Rise\/Span Ratio of a Spherical Cap Shell on the Buckling Load","authors":"Peter N. Khakina, Mohammed I. Ali, Enchun Zhu, Huazhang Zhou, Baydaa H. Moula","volume":56,"journal":"International Journal of Civil and Environmental Engineering","pagesStart":335,"pagesEnd":342,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/9280","abstract":"Rise\/span ratio has been mentioned as one of the\r\nreasons which contribute to the lower buckling load as compared to\r\nthe Classical theory buckling load but this ratio has not been quantified\r\nin the equation. The purpose of this study was to determine a more\r\nrealistic buckling load by quantifying the effect of the rise\/span ratio\r\nbecause experiments have shown that the Classical theory\r\noverestimates the load. The buckling load equation was derived based\r\non the theorem of work done and strain energy. Thereafter, finite\r\nelement modeling and simulation using ABAQUS was done to\r\ndetermine the variables that determine the constant in the derived\r\nequation. The rise\/span was found to be the determining factor of the\r\nconstant in the buckling load equation. The derived buckling load\r\ncorrelates closely to the load obtained from experiments.","references":"[1] E. C. Zhu, Z. W. Guan, P. D. Rodd and D. J. Pope, \"Buckling of Oriented\r\nStrand Board Webbed Wood I-Joists\", J. Struct Eng., vol 131(10), 2005,\r\npp. 629-1636.\r\n[2] G. Forasassi and R. Frano, \"Curved thin shell buckling behavior\", J.\r\nAchievements in Materials and Manufacturing Eng., Vol. 23(2), 2007, pp.\r\n55-58.\r\n[3] S. P. Timoshenko and J.M. Gere, \"Theory of elastic stability\". London:\r\nMcGraw-Hill Book Company; 1963.\r\n[4] J. H. Prevost, D. P. Billington, R. Rowland and C. C. LIM, \"Buckling of\r\nSpherical dome in a centrifuge\", Exp. Mech., 1984, pp. 203-207.\r\n[5] S. Narayanan, Space structures: Principles and practice. Brentwood:\r\nMulti-Science publishing Co. Ltd, 2006.\r\n[6] L. D. Landau and E. M. Lifshitz, \"Theory of Elasticity\". Oxford:\r\nButterworth-Heinemann, 1986.\r\n[7] L. Xifu, Z. Tao and Z. Chunxiang, \"Theoretical Mechanics\". Harbin:\r\nHarbin Institute of Technology press, 2007.\r\n[8] E. R. Champion, \"Finite Element Analysis in manufacturing Engineering:\r\nAPC- Based approach\". New York: McGraw-Hill, Inc., 1992.\r\n[9] F. Fan, Z. Cao, and S. Shen, \"Elasto-plastic stability of single-layer\r\nreticulated shells\", Thin walled Struct. vol 48, 2010, pp. 827-836.\r\n[10] Hibbit, Karlsson & Sorensen Inc. ABAQUS theory manual Version 6.1.\r\n2000.\r\n[11] Hibbit, Karlsson & Sorensen Inc. ABAQUS user-s manual Version 6.1.\r\n2000.\r\n[12] H. Z. Zhou, F. Fan, E. C. Zhu, \"Buckling of reticulated laminated veneer\r\nlumber shells in consideration of the creep\", Eng. Struct. Vol 32, 2010,\r\npp. 2912-18.\r\n[13] M. Barski, \"Optimal design of shells against buckling subjected to\r\ncombined Loadings\", Struct. Multidisc Optim. Vol 31, 2006, pp.\r\n211-222.\r\n[14] G. J. Teng, \"Buckling of thin shells: Recent advances and trends\", Appl.\r\nMech. vol 49, 1996, pp. 263-274.\r\n[15] C. Y. Chia, \"Buckling of Thin Spherical Shells\", Ingenieur-Archiv, vol\r\n40, 1971, pp. 227-237.\r\n[16] E. Zhu, P. Mandal and C. R. Calladine, \"Buckling of thin cylindrical\r\nshells: An attempt to resolve a paradox\", Int. J. Mech. Sci., vol 44, 2002,\r\npp. 1583-601.\r\n[17] L. Kollar and E. Dulacska, \"Buckling of shells for engineers\". London:\r\nJohn Willey & sons, 1884.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 56, 2011"}