The present paper discusses buckling strength of elliptic paraboloidal reticular roofs under uniform load with a rectangular plan. The roofs are assumed as three way single layers with a simple support at all peripheries of a rectangular plan. The buckling analyses are performed for linear buckling, elastic buckling, and elastic-plastic buckling. The results of buckling loads are formulated based on two procedures for practical design use. One is an explicit formula for elastic buckling loads using a knock down factor and the other one is an implicit expression for buckling loads interpreted as a column buckling strength in terms of generalized slenderness ratio.
Get full access to this article
View all access options for this article.
References
1.
SoareM., The Metallic Lattice Dome of the National Economy Exhibition at Bucharest, Proc. of IASS (Delft 1961) on Hanging Roofs, Shell Roofs and Lattice Roofs, 1962, pp. 276–287.
2.
WrightD. T., Membrane Forces and Buckling in Reticulated Shells, Journal of the Structural Division, ASCE, vol. 91, No. ST1, 1965, pp. 173–201.
3.
KollarL.DulacskaE., Buckling of Shells for Engineers, John Wiley & Sons, 1984.
4.
AIJ, Stability Analysis of Single Layer Latticed Domes. State-of-Art (ed. HekiK, in Japanese), 1989. Contents [4.1] HekiK., Introduction for instability of latticed domes; [4.2] HangaiY., Estimation of buckling loads of a single-layered lattice dome; [4.3] KatoS., Buckling analysis of pin-connected single-layered latticed dome; [4.4] YamadaM., Estimation for capacities of single-layered latticed dome based on analogy of continuum shell.
5.
GioncuV., Buckling of Reticulated Shells: State-of-the-Art, Space Structures, Vol. 10, No. 1, 1995, pp. 1–46.
6.
KatoS.FujimotoM.OgawaT., Buckling Load of Steel Single-Layer Reticulated Domes of Circular Plan, Journal of IASS, vol. 46No. 1 (April n.147), 2005, pp 41–63.
7.
KatoS.YamauchiY.UekiT., Buckling Load of Elliptic Paraboloidal Single Layer Reticulated Roofs under Uniform Load, Space StructuresVol. 20, No. 2, 2005, pp. 21–36.
8.
del-Pozo FrutosF.del Pozo VindelF., Buckling of Ribbed Spherical Shells, Proc. of IASS World congress, Madrid, Vol. 1, 1979, pp. I.199–I.222.
9.
YamadaM.IshikawaT., Buckling of Rigidly Jointed Single Layer Latticed Spherical Shells under External Pressure, Proc. of Intern. Colloquium on Space Structures for Sports Buildings, Beijing, 1987, Elsevier, 1987, pp. 353–360.
10.
YamadaM.UchiyamaK.YamadaS.IshikawaT., Theoretical and experimental study on the buckling of rigidly jointed single layer latticed spherical shells under external pressure, Proceedings IASS Symposium on Shells, Membranes and Space Frames, Osaka, Elsevier, Vol. 3, 1986, pp. 113–120.
11.
ShenS. Z.ChenX., Stability of Steel Reticulated Shells (in Chinese), The Science Publisher, Beijing, China, 1999.
12.
UekiT., Study on the Buckling Behavior and Design Procedure for Single Layer Reticular Domes Utilizing Systematized Trusses, 1993, Ph.D Dissertation, Toyohashi University of Technology.
13.
UekiT.KuboderaI.KatoS., Single Layer Lattice domes using Systematized Semi-rigid Joints, Proc. of IASS 40th Anniversary Congress, Madrid, 1999, Vol. 1, pp. B1. 69–76.
14.
UekiT.MukaiyamaY.KuboderaI.KatoS., Buckling Behavior of Single Layered Domes Composed of Members with Axial and Bending Springs at Both Ends, Proc. of IASS Congress, Madrid, Vol. 4, 1989.
15.
KatoS.Itaru MutohShomuraM., Collapse of semi-rigidly reticulated domes with initial geometric imperfections, Journal of Constructional Steel Research48, 1998, pp. 135–168.
16.
KatoS.KimJ. M.CheongM., A new proportioning method for member sections of single layer reticulated domes subjected to uniform and nonuniform loadings, ENGINEERING STRUCTURES, 25, 2003, pp. 1265–1278.
17.
CsonkaP., The buckling of a Spheroidal Shell Curved in Two Directions, Acta Techn. Acad. Sci Hung.14, 1966, pp. 425–437 (from the reference [4]).
18.
DulacskaE., Der Steifigkeitskennwert der Shalenbeulung, Acta Tech. Acad. Sci. Hung.87, 1978, pp. 457–467(from the reference [4]).
19.
Design Standard for Steel Structures, AIJ, 1973.
20.
IASS WG.5: Recommendations for Reinforced Concrete Shells and Folded Plates (IASS, 1979).
21.
AIJ: JASS6 Steel Work Japanese Architectural Standard Specification, 1996.
22.
DulacskaE.KollarL., Buckling Analysis of Reticulated Shells, Space StructuresVol. 15, Nos. 3 & 4, 2000, pp. 195–203.
23.
ShibataR.ShimaokaS.KatoS.YamauchiY.NakazawaS., Basic Study on Efficiency of Structural Optimization by Distribution Processing, Journal of Structural Engineering, vol. 51B, 2005/3 p. 73–78.
