Numerical Analysis of the Beam-Column Resistance Compared to Methods by European Standards

Prokop, Jozef; Vičan, Josef; Jošt, Jozef

doi:10.3390/app11073269

Cited by 10 publications

(6 citation statements)

References 26 publications

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“…Preliminary studies suggest that a good structure of the sensitivity indices can also be obtained for non-linear function R with buckling [57,85], lateral-torsional buckling [86], or their interactions [87,88]. The concept of the SA of Pf can be applied to the probabilistic analysis of reliability where design reliability conditions prevail [35], with the assumption that R and A are Gauss pdf and Pf is low [89].…”

Section: Discussionmentioning

confidence: 99%

New Importance Measures Based on Failure Probability in Global Sensitivity Analysis of Reliability

Kala

2021

Mathematics

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This article presents new sensitivity measures in reliability-oriented global sensitivity analysis. The obtained results show that the contrast and the newly proposed sensitivity measures (entropy and two others) effectively describe the influence of input random variables on the probability of failure Pf. The contrast sensitivity measure builds on Sobol, using the variance of the binary outcome as either a success (0) or a failure (1). In Bernoulli distribution, variance Pf(1-Pf) and discrete entropy—Pfln(Pf)-(1-Pf)ln(1-Pf) are similar to dome functions. By replacing the variance with discrete entropy, a new alternative sensitivity measure is obtained, and then two additional new alternative measures are derived. It is shown that the desired property of all the measures is a dome shape; the rise is not important. Although the decomposition of sensitivity indices with alternative measures is not proven, the case studies suggest a rationale structure of all the indices in the sensitivity analysis of small Pf. The sensitivity ranking of input variables based on the total indices is approximately the same, but the proportions of the first-order and the higher-order indices are very different. Discrete entropy gives significantly higher proportions of first-order sensitivity indices than the other sensitivity measures, presenting entropy as an interesting new sensitivity measure of engineering reliability.

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Section: Discussionmentioning

confidence: 99%

New Importance Measures Based on Failure Probability in Global Sensitivity Analysis of Reliability

Kala

2021

Mathematics

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“…MBN refers to the rms value of the signal. In order to obtain a calibration curve (evolution in which MBN is plotted as a function of tensile stress), one wire was cut off stressed and then stressed by the use of device Instron 5985 [ 25 ].…”

Section: Experimental Programmentioning

confidence: 99%

State of Prestressing Analysis of 62-Year-Old Bridge

2022

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Ageing infrastructure leads to the need for a proper assessment and final decisions considering its state. In the case of prestressed concrete structures, knowledge of the residual state of prestressing is the crucial factor. Therefore, reliable diagnostic techniques for determining the residual value of the prestressing force are needed. This information is subsequently used in the process of the quantification of the load-carrying capacity and remaining service life of prestressed concrete structures. The presented paper introduces an evaluation of a monolithic 62-year-old prestressed concrete bridge, which was built in 1959. The assessment was carried out as a result of concerns after exposure of the anchorage area of the bridge, which was executed during the construction of the new system of anti-flood barriers in the town of Banska Bystrica in central Slovakia. Therefore, the diagnostic survey and subsequent determination of the residual prestressing force included the application of the saw-cut method, the structural response method, and the Barkhausen noise technique. Finally, the experimental program supported by numerical analysis provided information about the actual state of prestressing in the bridge. Results of performed analysis suggested that the state of prestressing of the bridge in question does not significantly differ from the expected level of prestressing after 62 years of service. Subsequently, obtained conclusions enabled the determination of the load-carrying capacity for future use in the form of a pedestrian bridge.

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“…So-called element tests (i.e. tests with homogeneous deformation of the samples) can be immediately simulated without any advanced numerical methods such as FEM or finite differences: Any loading (and/or unloading) process starting from a known initial stress state can be numerically simulated by stepwise or rather multistep (in case of rate dependent version of constitutive model) integration [6] of the constitutive equation (8). If all boundary conditions are of the kinematic type (e.g.…”

Section: Civil and Environmental Engineeringmentioning

confidence: 99%

“…If all boundary conditions are of the kinematic type (e.g. oedometer test), the -tensor is wholly known, and the corresponding stress rate can be directly obtained from equation (8). If some of the boundary conditions are of the static type (e.g.…”

Section: Civil and Environmental Engineeringmentioning

confidence: 99%

“…2. A wide range of civil engineering problems is analyzed using numerical methods such as FEM [8,9], as they can a burdensome and, in most cases, financially unfeasible experimental methods. In order to demonstrate advantages of basic model based on hypoplastic formulation, another study and verification should be introduced egg.…”

Section: Numerical Simulation Of Shallow Foundation Settlementmentioning

confidence: 99%

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Formulation of a Basic Constitutive Model for Fine - Grained Soils Using the Hypoplastic Framework

Gago

Valletta

Mužík

2021

Civil and Environmental Engineering

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A hypoplastic approach to constitutive modelling was developed by Kolymbas 1996 considering a non-linear tensor function in the form of strain and stress rate. However, the implicit formulation of the hypoplastic model with indirect material parameters severely limits its applicability to real-world geotechnical problems. In many cases, the numerical analysis of geotechnical problems relies on simple elastoplastic constitutive models that cannot model a wide range of soil response aspects. One promising paradigm of constitutive modelling in geotechnics is hypoplasticity, but many of the hypoplastic models belong to advanced models. In the article, we present the simple hypoplastic model as an alternative to the widely used Mohr-Coulomb elastoplastic model.

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Numerical Analysis of the Beam-Column Resistance Compared to Methods by European Standards

Cited by 10 publications

References 26 publications

New Importance Measures Based on Failure Probability in Global Sensitivity Analysis of Reliability

New Importance Measures Based on Failure Probability in Global Sensitivity Analysis of Reliability

State of Prestressing Analysis of 62-Year-Old Bridge

Formulation of a Basic Constitutive Model for Fine - Grained Soils Using the Hypoplastic Framework

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