Limit state analysis of reinforced concrete slabs using an integrated radial basis function based mesh-free method

Ho, Phuc L.H.; Le, Cuong; Tran-Cong, T.

doi:10.1016/j.apm.2017.08.006

Cited by 15 publications

(4 citation statements)

References 24 publications

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“…Authors in [7,8] studied steel frames under static and earthquake loadings with limit load analysis methods. Various discretization techniques have been developed to treat the limit problems such as finite elements [9][10][11][12], meshfree methods [13][14][15][16][17], and isogeometric analysis [18].…”

Section: Introductionmentioning

confidence: 99%

Computation of Limit Loads for Bending Plates

Tran

Nguyen

2023

Eng. Technol. Appl. Sci. Res.

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The purpose of this paper is to present a method for calculating the upper bound limit loads of plate bending using a conforming Hsieh-Clough-Tocher (HCT) element. These limit loads can be obtained from Koiter’s kinematic shakedown theorem for the case of one load vertex instead of using the kinematic limit theorem. When combining this theorem with the approximated displacement field, the limit analysis turns into an optimization problem and can be effectively solved by Second-Order Cone Programming (SOCP). Several benchmark plate problems such as square, rectangular, and L-shape plates are investigated to illustrate the effectiveness of the proposed solution. The results of the proposed method show good agreement with the results of previous studies. The maximum error is only 2.91% for the fully clamped rectangular plate problem.

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Section: Introductionmentioning

confidence: 99%

Computation of Limit Loads for Bending Plates

Tran

Nguyen

2023

Eng. Technol. Appl. Sci. Res.

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“…In [15], the calculation of reinforced concrete slabs by the limit state is proposed using an integrated method without breaking into finite elements based on a radial basis function. The advantage of the developed method is to reduce the time of calculation and analysis, for example, for a grid of 15×15 nodes -from 5.8 seconds to 0.5 seconds.…”

Section: Introductionmentioning

confidence: 99%

Research of the stress-strain state of a reinforced concrete beamless floor

2021

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In the article, the authors present the results of a study of a flat reinforced concrete beamless floor of an existing building. The experiment consisted of loading a slab in span with water tanks. There were 15 loading stages in total, on average 4 kN. During the experiment, data was obtained on the relative deformations of concrete and reinforcement in the span and on the support. Also, observations of the growth of vertical deformations and the growth of cracks in the span were introduced.

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“…For reinforced concrete slabs, the yield line method and strip method (based on the assumption of perfectly plastic material) are robust solutions for predicting the load-carrying capacity in bending. These two methods have proliferated into the wider structural engineering community because they are suitable for hand calculations [26,27]. The yield line method analysis starts with an assumed collapse mechanism and is then executed using virtual work and an equilibrium method to obtain the final solution: an upper-bound result [28].…”

Section: Introductionmentioning

confidence: 99%

Behavior of a Two-Way Lightweight Steel–Concrete Composite Slab Voided with Thin-Walled Core Boxes towards Sustainable Construction

et al. 2020

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High-performance engineered structural systems are crucial for sustainable development in the field of construction. In our previous research, a novel steel–concrete composite beam with transverse and longitudinal hidden girders exhibited good flexural behavior and desirable ductility. However, there is a dearth of studies on the flexural response of a steel–concrete composite slab voided with thin-walled core boxes. Therefore, in this study, we investigated the overarching flexural mechanism of the proposed structure when subjected to uniform vertical loads. The experimental detection results illustrated that the deflection value of the composite beam was 95.75% less than the GB/T 50152-2012 recommendation. Numerical results further validated this observation. The recorded data from the strain profile at the mid-span of the frame girder indicated that there was a considerable membrane effect, which delayed the strain growth of rebars, yielding appreciable bearing capacity. Thus, two original approaches to predicting the ultimate load of this novel structure are proposed, considering limit analysis using the upper-bound method and the membrane effect, with the latter closely linked to the experimental results. The findings can promote the extensive application of similar sustainable systems and inspire further advancements in advanced engineering structures.

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Limit state analysis of reinforced concrete slabs using an integrated radial basis function based mesh-free method

Cited by 15 publications

References 24 publications

Computation of Limit Loads for Bending Plates

Computation of Limit Loads for Bending Plates

Research of the stress-strain state of a reinforced concrete beamless floor

Behavior of a Two-Way Lightweight Steel–Concrete Composite Slab Voided with Thin-Walled Core Boxes towards Sustainable Construction

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