Abstract
In the previous chapters, we have discussed cylindrical shells, which are special cases of doubly curved shells. We now proceed to more general cases of such shells, the elliptic paraboloid shell and the hyperbolic paraboloid shell. Structural engineers refer to the first category as elpar and to the second one as hyppar. If built, elpars have a rectangular plan with curved edges (left shell in Fig. 8.1). Hyppars also have rectangular plans, but may have either curved edges (middle shell in Fig. 8.1) or straight edges (right shell in Fig. 8.1). Because hyppars on straight edges are applied most, we will pay most attention to this type, and start with them.
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References
Loof HW (1961) Edge disturbances in a hyppar shell with straight edges, Report 8-61-3-hr-1. Stevin Laboaratory, Department of Civil Engineering, Technical University Delft (in Dutch)
Bouma AL (1960) Some applications of the bending theory regarding doubly curved shells. In: Proceedings of the Symposium on theory of thin shells, North Holland Publishing Company, Delft, August 1959, pp 202–235
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© 2014 Springer Science+Business Media Dordrecht
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Blaauwendraad, J., Hoefakker, J.H. (2014). Hyperbolic- and Elliptic-Paraboloid Roofs. In: Structural Shell Analysis. Solid Mechanics and Its Applications, vol 200. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6701-0_8
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DOI: https://doi.org/10.1007/978-94-007-6701-0_8
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