Geometrically Nonlinear Static Behavior of Cable Structures
Publication: Journal of Structural Engineering
Volume 128, Issue 10
Abstract
Geometrically nonlinear analyses are used to study the static structural behavior of three cable systems. All analyses and results are nondimensional and therefore valid for any scale. The behavior of a system that has a singular linear stiffness matrix is compared to that of a comparable system that has a nonsingular linear stiffness matrix. The actions considered include pretensioning, uniform dead load, asymmetric and antisymmetric vertical live loads and moving vertical live loads. There is no distinct improved static behavior associated with the system that has a nonsingular linear stiffness matrix. The nonlinear behavior of a cable stiffened by a girder is also studied. The behavior of the deck-stiffened system depends strongly on a nondimensional parameter defined by the moment of inertia of the girder divided by the area of the suspension cable times the square of its sag. A preliminary comparison of the relative effectiveness of stiffening with a girder versus stiffening by longitudinal pretensioning is made.
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References
Americal Society of Civil Engineers (ASCE). (1971). “Cable-suspended roof construction state-of-the-art.” Subcommittee on cable-suspended structures of the task committee on special structures of the committee on metals of the structural division J. Struct. Div., ASCE, 97(6), 1715–1761.
Birdsall, B. (1953). “Cable-stiffened suspension bridge updated.” Eng. News Rec., 32–39.
Birdsall, B. (1954). “A prophetic design in an out-of-the-way place.” Civ. Eng.,574–575.
Bleich, F. (1950). “The mathematical theory of vibration of suspension bridges.” U.S. Dept. of Commerce, Bureau of Public Roads, Washington, D.C.
Buchholdt, H. A. (1985). An introduction to cable roof structures, Cambridge University Press, Cambridge, U.K.
Buonopane, S., and Billington, D.(1993). “Theory and history of suspension bridge design from 1823 to 1940.” J. Struct. Div., ASCE, 119(3), 954–977.
Calladine, C. R.(1978). “Buckminster Fuller’s tensegrity structures and Clark Maxwell’s rules for the construction of stiff frames.” Int. J. Solids Struct., 14, 161–172.
Gossen, P., Berger, H., and Levy, M. (1992). “Discussions of ‘Floating fabric over Georgia Dove’.” Civ. Eng.,28–30.
Hanaor, A., and Liao, M. K.(1991). “Double-layer tensegrity grids: Static load response. Part I: Analytical study.” J. Struct. Eng., 117(6), 1660–1674.
Irvine, H. M. (1981). Cable structures, MIT Press, Cambridge, Mass.
Jawerth, D.(1959). “Prestressed hanging structure of anticlastic cables under diagonal tension.” Stahlbau, 28(5), 126–131.
Kassimali, A., and Hootashmand, P. F.(1987). “Strength of cable trusses under combined loads.” J. Struct. Div., ASCE, 113(5), 907–924.
Krishna, P.(1982). “Performance of cable trusses under static loads.” J. Struct. Div., ASCE, 108(1), 265–282.
Kuznetsov, F. N.(1982). “Axisymmetric static nets.” Int. J. Solids Struct., 18, 1103–1112.
Leonard, J. W. (1988). Tension structures: Behavior and analysis, McGraw-Hill, New York.
Levy, M.(1991). “Floating fabric over Georgia Dome.” Civ. Eng.,61(11), 34–37.
Otto, F. (1969). Tensile structures, MIT Press, Cambridge, Mass.
Pellegrino, S., and Calladine, C. R.(1986). “Matrix analysis of statically and kinematically indeterminate frameworks.” Int. J. Solids Struct., 22, 409–428.
Shore, S., et al. (1969). Bibliography-structural applications of steel cable systems, AISI, New York.
Sollenberger, N. J. (1954). “Cable-truss design creativity increases stiffness.” Civ. Eng.,576–579.
Timoshenko, S.(1928). “The stiffness of suspension bridges.” Trans. ASME, 92, 1464–1478.
Yokoo, Y., et al., eds. (1972). Proc., IASS Symp. Tension Structures and Space Frames, Architectural Institute of Japan, Tokyo.
Zetlin, L. (1964). “Steel cable creates novel structural space systems.” Eng. J.
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Copyright © 2002 American Society of Civil Engineers.
History
Received: Jun 12, 2001
Accepted: Nov 15, 2001
Published online: Sep 13, 2002
Published in print: Oct 2002
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