A parametric natural fire model for the structural fire design of multi-storey buildings

Zehfuß, Jochen; Hosser, Dietmar

doi:10.1016/j.firesaf.2006.08.004

Cited by 55 publications

(38 citation statements)

References 4 publications

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“…Taerwe · Extension of tabulated design parameters for rectangular columns exposed to fire taking into account second-order effects and various fire models Structural Concrete (2015), No 1 acteristic value is proposed as the 80 percentile of a Gumbel distribution. In this case the same fire compartment as in [24] is adopted for both the dwelling and the office cases, with A f = 16 m 2 , height H = 3 m, area of openings A w = 8 m 2 and average height of openings h w = 2.50 m.…”

Section: Fire Resistance Of Columns Subjected To Natural Firesmentioning

confidence: 99%

Extension of tabulated design parameters for rectangular columns exposed to fire taking into account second‐order effects and various fire models

Wang

Caspeele

Coile

et al. 2015

Structural Concrete

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Fire, as one of the most severe load conditions, has an important impact on concrete structures. It does not only affect the material strength, but also the structural stiffness and stability. A concrete column, compared to other structural members, has most often to cope both with vertical forces and bending moments transmitted by slabs and beams. Consequently, it is essential to find a reliable and practical way to establish interaction curves for the overall structural behaviour of concrete columns subjected to fire. In this paper, a cross-section calculation method based on the material models of Eurocode 2 is explained and adopted to calculate interaction curves for a typical rectangular column exposed to the ISO834 standard fire. Subsequently, an iterative approach is introduced to develop interaction curves taking into account second order effects in case of four-side heated fire exposure. The maximum permitted slenderness ratios of columns under different fire durations are obtained and compared with Eurocode 2 provisions. Finally, this method is applied to calculate the maximum permitted slenderness ratios for columns exposed to hydrocarbon fires and natural fires.

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Section: Fire Resistance Of Columns Subjected To Natural Firesmentioning

confidence: 99%

Extension of tabulated design parameters for rectangular columns exposed to fire taking into account second‐order effects and various fire models

Wang

Caspeele

Coile

et al. 2015

Structural Concrete

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“…The development of the average hot gas temperature of the upper layer is calculated using the simplified natural fire model according to Zehfuß et al [10] (Fig. 3).…”

Section: Example 41 Verification Methodsmentioning

confidence: 99%

“…A program package has been developed that enables the user to calculate the room temperature according to the ISO-standard-temperature-time curve, or using the zone model CFAST [9], or according to the parametric temperature-time curves proposed by Zehfuß et al in [10]. The FE-program STABA-F is integrated into the program package and calculates the load and deformation behaviour of structural elements made of reinforced concrete, unprotected and protected steel, composite steel and concrete and timber.…”

Section: Target Reliabilitymentioning

confidence: 99%

Probabilistic Safety Concept for Fire Safety Engineering based on Natural Fires

Weilert

Hosser

Klinzmann

2008

BUST

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The rise of Performance Based Design methodologies for fire safety engineering has increased the interest of the fire safety community in the concepts of risk and reliability. Practical applications have however been severely hampered by the lack of an efficient unbiased calculation methodology. This is because on the one hand, the distribution types of model output variables in fire safety engineering are not known and traditional distribution types as for example the normal and lognormal distribution may result in unsafe approximations. Therefore unbiased methods must be applied which make no (implicit) assumptions on the PDF type. Traditionally these unbiased methods are based on Monte Carlo simulations. On the other hand, Monte Carlo simulations require a large number of model evaluations and are therefore too computationally expensive when large and nonlinear calculation models are applied, as is common in fire safety engineering. The methodology presented in this paper avoids this deadlock by making an unbiased estimate of the PDF based on only a very limited number of model evaluations. The methodology is known as the Maximum Entropy Multiplicative Dimensional Reduction Method (ME-MDRM) and results in a mathematical formula for the probability density function (PDF) describing the uncertain output variable. The method can be applied with existing models and calculation tools and allows for a parallelization of model evaluations. The example applications given in the paper stem from the field of structural fire safety and illustrate the excellent performance of the method for probabilistic structural fire safety engineering. The ME-MDRM can however be considered applicable to other types of engineering models as well. List of symbols Symbols and abbreviations used throughout the paper are listed below. Symbols which are used only locally are explained in the text. E[.] expected value operator Fx cumulative density function for the variable X FX-1 inverse cumulative density function for the variable X fxl probability density function describing the l th stochastic input variable fy probability density function describing Y ˆ y f ME-MDRM estimate for fy h(.) model response indicator hl(.) unidimensional cut function for h(.) where all stochastic input variables expect the l th are evaluated by their median value LHS

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“…A first assessment can be based on expert judgment with respect to the fire load density and fire severity. Although many natural fire curves exist [30][31][32] which relate the fire load density and ventilation characteristics to a local gas temperature, applying natural fire curves to the thermal analysis of concrete elements generally requires numerical integration. Consequently, this is too time-consuming and specialized for practical application by structural engineers.…”

Section: Probabilistic Models Based On Literature Datamentioning

confidence: 99%

Towards a reliability‐based post‐fire assessment method for concrete slabs incorporating information from inspection

Coile

Caspeele

Taerwe

2014

Structural Concrete

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A parametric natural fire model for the structural fire design of multi-storey buildings

Cited by 55 publications

References 4 publications

Extension of tabulated design parameters for rectangular columns exposed to fire taking into account second‐order effects and various fire models

Extension of tabulated design parameters for rectangular columns exposed to fire taking into account second‐order effects and various fire models

Probabilistic Safety Concept for Fire Safety Engineering based on Natural Fires

Towards a reliability‐based post‐fire assessment method for concrete slabs incorporating information from inspection

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