Analytical Solutions for Catenary Domes
Publication: Journal of Engineering Mechanics
Volume 141, Issue 2
Abstract
A new concept for designing a dome is introduced. The dome is inverted from a basket made of catenary strips, thereby maintaining the optimal properties of the catenary. Four kinds of domes are considered: the polygonal catenary dome, the catenary dome of uniform thickness, the catenary dome of uniform stress, and a dome supporting a uniform platform. Given the height and width of the dome, the solutions are in closed form and are unique.
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References
Abad, M. S. A., Shooshtari, A., Esmaeilli, V., and Riabi, A. N. (2013). “Nonlinear analysis of cable structures under general loadings.” Finite Elem. Anal. Des., 73(Oct), 11–19.
Abramowitz, M., and Stegun, I. A. (1964). Handbook of mathematical functions: With formulas, grafts, and mathematical tables, Dover, New York.
Andreu, A., Gil, L., and Roca, P. (2007). “Computational analysis of masonry structures with a funicular model.” J. Eng. Mech., 473–480.
Dow, M., Nakamura, H., and Rozvany, G. I. N. (1982). “Optimal cupolas of uniform strength: Spherical M-shells and axisymmetric T-shells.” Ing. Arch., 52(5), 335–353.
Heyman, J. (1982). The masonry arch, Ellis Horwood, Chichester, U.K.
Heyman, J. (1995). The stone skeleton, Cambridge University Press, Cambridge, U.K.
Hill, R. D., Rozvany, G. I. N., Ming, C. H., and Hwa, L. K. (1979). “Optimization, spanning capacity, and cost sensitivity of fully stressed arches.” J. Struct. Mech., 7(4), 375–410.
Irvine, H. M. (1981). Cable structures, MIT Press, Cambridge, MA.
Nakamura, H., Dow, M., and Rozvany, G. I. N. (1981). “Optimal spherical cupola of uniform strength: Allowance for selfweight.” Ing. Arch, 51(3–4), 159–181.
Osserman, R. (2010). “How the Gateway Arch got its shape.” Nexus Netw. J., 12(2), 167–189.
Pesciullesi, C., Rapallini, M., Tralli, A., and Cianchi, A. (1997). “Optimal spherical masonry domes of uniform strength.” J. Struct. Eng., 203–209.
Prager, W., and Rozvany, G. I. N. (1980). “Optimal spherical cupola of uniform strength.” Ing. Arch, 49(5–6), 287–293.
Routh, E. J. (1909). A treatise on analytical statics, Vol. 1, 2nd Ed., Cambridge University Press, Cambridge, U.K.
Thai, H.-T., and Kim, S.-E. (2011). “Nonlinear static and dynamic analysis of cable structures.” Finite Elem. Anal. Des., 47(3), 237–246.
Timoshenko, S., and Woinowsky-Krieger, S. (1959). Theory of plates and shells, McGraw Hill, New York.
Vo, K. K., Wang, C. M., and Chai, Y. H. (2006). “Membrane analysis and optimization of submerged domes with allowance for selfweight and skin cover load.” Arch. Appl. Mech., 75(4–5), 235–247.
Vu, T.-V., Lee, H.-E., and Bui, Q.-T. (2012). “Nonlinear analysis of cable-supported structures with a spatial catenary element.” Struct. Eng. Mech., 43(5), 583–605.
Wang, C.-M., and Rozvany, G. I. N. (1983). “On plane Prager-structures—II: Non-parallel external loads and allowances for selfweight.” Int. J. Mech. Sci., 25(7), 529–541.
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© 2014 American Society of Civil Engineers.
History
Received: Jun 18, 2014
Accepted: Oct 15, 2014
Published online: Nov 5, 2014
Published in print: Feb 1, 2015
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