Design procedure for the buckling analysis of reinforced concrete shells

Dulácska, Endre; Kollár, László P.

doi:10.1016/0263-8231(95)00019-a

Cited by 14 publications

(5 citation statements)

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“…1 (Introduction) into account it is assumed that their influences are independent of each other and can be assessed by independent multipliers, see ref. [1]. Hence the value of the actual critical load can be expressed by the formula:…”

Section: T He Met Hod For Tak Ing T He Influenc E Of Va Rious Effec Tmentioning

confidence: 99%

Buckling Analysis of Reticulated Shells

Dulácska

Kollár

2000

International Journal of Space Structures

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The paper presents a comparatively simple method for assessing the global stability of single- and double-layer reticulated shells, assuming rigid connections between the bars. With knowledge of the rigidities of the reticulated shell, a statically equivalent replacement solid shell is established, the buckling of which is extensively treated in the literature. The critical load of this replacement continuum is determined by taking into account the influences of geometric imperfections (eccentricity), plasticity, (local) bar buckling and – in the case of double-layer reticulated shells – of transverse shear deformation. All these are presented in detail for isotropic shells, but the method can also be used for anisotropic ones. Finally, for dimensioning reticulated shells, a unique safety factor based on the theory of probabilities is recommended, which depends on the uncertainties of the various effects. Numerical values for the safety factor are also given. The method proposed provides a transition from shells to plane plates, from surface to bar structures, and from reticulated to solid shells, thus ensuring identical safety levels for all these structures.

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Section: T He Met Hod For Tak Ing T He Influenc E Of Va Rious Effec Tmentioning

confidence: 99%

Buckling Analysis of Reticulated Shells

Dulácska

Kollár

2000

International Journal of Space Structures

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“…However, the long-term effects of the concrete were not included. Dulácska and Kollár [1995] indicated that various long-term effects can be assessed as multipliers of the classical buckling pressure, but a detailed theoretical or experimental basis that supports the proposed factored buckling pressure was not found. Zarghamee and Heger [1983] presented a design procedure for determining the buckling pressure of concrete domes, based on a computer program that was developed by Bushnell [1976] and uses the rate-of-creep method (the Dischinger method).…”

Section: Introductionmentioning

confidence: 99%

Creep buckling of imperfect thin-walled shallow concrete domes

Hamed

Bradford

Gilbert

2010

JOMMS

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The sensitivity of the nonlinear long-term creep behaviour of shallow concrete domes to geometric and material imperfections is investigated in this paper. A nonlinear incremental theoretical model is developed, which accounts for the effects of creep and shrinkage, considers the aging of the concrete material and the variation of the internal stresses and geometry in time, and is applicable for different and nonaxisymmetric imperfection scenarios and loading schemes. The model focuses only on shallow concrete domes, but the modelling concepts and solution techniques can be generated for the creep buckling analysis of different types of thin-walled concrete structures. The field equations are derived using the variational principles of virtual work and using integral-history-type constitutive relations that are based on the principle of superposition. A step-by-step procedure is used for the solution of the governing equations in time, while the solution of the incremental partial differential equations in space is achieved by a separation of variables and expansion into truncated Fourier series in the circumferential direction, along with the use of the multiple shooting method in the meridional direction. Numerical and parametric studies, which highlight the capabilities of the model and which provide insight into the nonlinear long-term behaviour of imperfect shallow concrete domes, are presented. The results show that the structural behaviour and the critical time to cause creep buckling are very sensitive to geometric and material imperfections.

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Section: Introductionmentioning

confidence: 99%

Untitled

2010

JOMMS

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The stresses and displacements of a thick conical shell with varying thickness under nonuniform internal pressure have been calculated analytically using third-order shear deformation theory. The governing equations, which are a system of differential equations with variable coefficients, have been solved analytically with the matched asymptotic expansion of the perturbation theory. The effects of higherorder approximations on the radial and axial displacements, von Mises stress, and shear stress have been studied. The results have been compared with the finite elements analysis.

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Design procedure for the buckling analysis of reinforced concrete shells

Cited by 14 publications

References 1 publication

Buckling Analysis of Reticulated Shells

Buckling Analysis of Reticulated Shells

Creep buckling of imperfect thin-walled shallow concrete domes

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