Engineering Transactions, 49, 1, pp. 3–28, 2001

Generalized Section Model for Analysis of Reinforced Concrete Chimney Weakened by Openings

M. Lechman
Building Research Institute

P.M. Lewiński
Building Research Institute

In the paper, the general equilibrium equation due to bending moment and normal force is formulated for RC cross-section weakened by an arbitrary number of openings. The governing equations for the normal stresses due to bending moment and normal force are derived for the case when openings are located symmetrically as well as asymmetrically to the bending direction. The normal tensile stresses in concrete are neglected, and the reinforcing steel is continuously spaced at $l$ layers ($l \in N$). The constitutive equations for steel are assumed to be linear elastic, while the concrete is described as an elastic material in compression and brittle in tension. Furthermore, the strains are assumed to be small and their distribution across the section to be linear. The additional reinforcement located in the zone of the flue openings is involved. Basing on the equilibrium equation about the neutral axis, the effective moment of inertia of the cracked annular cross-section with openings is derived, and its influence on the fundamental frequency of the chimney is evaluated. The effects of different parameters on stresses in concrete and steel in the considered annular cross-sections are presented and discussed.
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E. HAMPE, R. FRENTZEL, Die Spannungen im Bereich großer Öffnungen von Stahlbetonschornsteinen für Längskraft und Momentenbelastung, Wissenschaftliche Zeitschrift für Architektur und Bauwesen Weimar, 20, 3, 245–253, 1973.

C.H. LEE, H.H. JABALI, Stresses in concrete chimneys weakened by openings, ACI Journal, 465–468, August 1976.

W.F. YAU, Design equations for circular sections of reinforced concrete without thin wall approximation, ACI Journal, 506–510, October 1979.

Specification for the Design and Construction of Reinforced Concrete Chimneys, ACI 307-79, American Concrete Institute, Detroit 1979.

M. PINFOLD, Reinforced concrete chimneys and towers (2nd ed.), Viewpoint Publications, London 1984.

K. BACHMANN, Beitrag zum Bemessungskonzept fur freistehende Schornsteine aus Stahlbeton, W. Ernst u. Sohn, Berlin 1981.

H. NIESER, V. ENGEL, Industrieschornsteine in Massivbau, Beuth, Berlin 1986.

DIN-1056, Freistehende Schornsteine in Massivbauart.

DIN-1045, Beton and Stahlbeton.

R. CIESIELSKI, K. BANJO, Analysis of multilayered ring cross–sections for bending with axial force considering material nonlinearities [in Polish], Ossolineum Publishing House, Constructions and Building Materials, 1990.

M. LECHMAN, P. M. LEWIŃSKI, Determination of normal stresses in non-circular cross-sections of reinforced concrete chimneys, CICIND Conference, Florence, 9/11, September 1993.

M. LECIIMAN, P. M. LEWIŃSKI, The constitutive equations for nonlinear analysis of RC chimneys with non-circular cross-sections, Proc. of EURO-C 1994 International Conference "Computational Modelling of Concrete Structures", H. MANG, N. BIČANIČ, R. de BORST [Eds.], 22–25 March, 745–754, Innsbruck 1994, Pineridge Press Ltd.

PN-88/B-03004, Polish code for brickwork and concrete chimneys [in Polish].

W. NOWACKI, Mechanics of building structures [in Polish], PWN, Warszawa 1960.

DOI: 10.24423/engtrans.571.2001