Simplified model for assessing progressive collapse resistance of reinforced concrete frames under an interior column loss

In this paper, the high-order moment method (HOMM) was developed for estimating pile foundation bearing capacity reliability assessment. Firstly, after the performance function was established, the first four moments (viz. mean, variance, skewness, and kurtosis) were suggested to be determined by a point estimate method based on two-dimensional reduction integrations. Then, the probability distribution of the performance function for the pile foundation bearing capacity was then approximated by a four-parameter cubic normal distribution, in which its distribution parameters are the first four moments. Meanwhile, the quantile of the probability distribution for the performance function and its reliability index was capable to be obtained through this distribution. In order to examine the efficiency of this method in engineering application, four pile foundations with different length-diameter radios were investigated in detail. The results demonstrate that the reliability analysis based on HOMM is greatly improved to the computational efficiency without loss precision compared with Monte Carlo simulation (MCS) and does not require complex partial derivative solving, checking point sought, and large numbers of iteration comparing with first-order reliability method (FORM). Moreover, the probability distribution function (PDF) approximated by the four-parameter cubic normal distribution was found to be consistent with that obtained by MCS. Eventually, the effects of parameter sensitivity for relative soil layer of the certain pile on reliability index were illustrated using the above-mentioned method. It indicated that the HOMM is an effective and simple approach for reliability assessment of the pile foundation bearing capacity.

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“…G k is the standard value of pile foundation cap and cap soil. And F k and G k can be approximated by the following equation [23,24]:…”

Section: Total Loads Applied On the Tip Of Pilementioning

confidence: 99%

Reliability Assessment on Pile Foundation Bearing Capacity Based on the First Four Moments in High‐Order Moment Method

Xiao

Meng

et al. 2021

Shock and Vibration

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“…In the aftermath of Ronan Point collapse event, the integrity and robustness of structure started to be considered into the design of building. Since the disastrous failure of the World Trade Center in New York, the progressive collapse resistance of building structure attracted much attention of scientists, and large numbers of experimental (Yi et al, 2008; Yu and Tan, 2013; Qian et al, 2019; Lu et al, 2017; Shan et al, 2016; Yu et al, 2020; Zhang et al, 2020) and numerical research (Weng et al, 2020; Pham et al, 2017; Yu et al, 2018, 2020; Li et al, 2016) have been carried out on cast-in-place concrete (RC) beams, substructures and frames against progressive collapse. According to the research results by nonlinear static analytical method, the compressive arch action (CAA) and tensile catenary action (TCA) are the two main periods of collapse resistant.…”

Section: Introductionmentioning

confidence: 99%

“…Tavassol et al (2020) proposed an analytical model based on spatial frame structure under internal column removal scenario, and quantified the effect of aspect ratio of slab within the region of failed column on the mechanical behavior. Similarly, with regard to threedimensional frame structure with slab, Zhang et al (2020) divided the collapse progress into four stages according to the vertical resistant curve of structure, namely yield stage, CAA stage, degenerative stage, and TCA stage, and proposed the analytical models corresponding to respective stage, and quantified the contribution of slab to the collapse resistance of structure through parameter analysis.…”

Section: Introductionmentioning

confidence: 99%

Analytical model on progressive collapse resistance of prestressed precast concrete frame under middle column removal scenario

Liu

Shi

et al. 2022

Advances in Structural Engineering

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This paper investigates an analytical model on progressive collapse resistance of prestressed precast concrete (PC) frame structures. The analytical model is established based on a sub-frame with two stories and two spans under middle column removal scenario, in which the vertical resistance of two-span beam in each story is obtained according to force equilibrium and deformation compatibility of the beam. The tension-stiffening effect and bond slip of top bars near side joint interface are considered in the model to predict the collapse resistance of the beam at compressive arch action (CAA) stage and tensile catenary action (TCA) stage accurately. Besides, to consider the distinct mechanical behavior of beams in failed span in different stories in the process of progressive collapse, the model is related to the restrained stiffness of beam ends, which is determined according to deformation compatibility and force equilibrium of side column in frame. The accuracy of the analytical model is verified according to the results of tests and numerical simulation. Parametric studies are conducted based on the proposed analytical model to investigate the effects of structural parameters and boundary conditions on vertical resistance of the two-span beam in the failed span. The results show that increasing the length of dissipated segment of top bars can improve the structural ductility in progressive collapse, and increase the TCA capacity. Increasing the initial tension of steel strands can enhance the CAA capacity, but the effect of enhancement is alleviated with the increase of initial tension. The larger restrained stiffness can increase the CAA capacity of beam, and the translation stiffness has a more prompt effect on the vertical resistance of beam than the rotation stiffness.

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“…The importance of a component in a structure system can be represented by a quantitative coefficient [14], whose value embodies the risk of losing the component to the entire structure. The negative effect of the missing component is simulated by the so-called conceptual removal method.…”

Section: Introductionmentioning

confidence: 99%

Progressive Collapse Safety Evaluation of Truss Structures Considering Material Plasticity

Fang

Zhang

et al. 2021

Materials

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Theoretical or numerical progressive collapse analysis is necessary for important civil structures in case of unforeseen accidents. However, currently, most analytical research is carried out under the assumption of material elasticity for problem simplification, leading to the deviation of analysis results from actual situations. On this account, a progressive collapse analysis procedure for truss structures is proposed, based on the assumption of elastoplastic materials. A plastic importance coefficient was defined to express the importance of truss members in the entire system. The plastic deformations of members were involved in the construction of local and global stiffness matrices. The conceptual removal of a member was adopted, and the impact of the member loss on the truss system was quantified by bearing capacity coefficients, which were subsequently used to calculate the plastic importance coefficients. The member failure occurred when its bearing capacity arrived at the ultimate value, instead of the elastic limit. The extra bearing capacity was embodied by additional virtual loads. The progressive collapse analysis was performed by iterations until the truss became a geometrically unstable system. After that, the critical progressive collapse path inside the truss system was found according to the failure sequence of the members. Lastly, the proposed method was verified against both analytical and experimental truss structures. The critical progressive collapse path of the experimental truss was found by the failure sequence of damaged members. The experimental observation agreed well with the corresponding analytical scenario, proving the method feasibility.

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Simplified model for assessing progressive collapse resistance of reinforced concrete frames under an interior column loss

Cited by 20 publications

References 28 publications

Reliability Assessment on Pile Foundation Bearing Capacity Based on the First Four Moments in High‐Order Moment Method

Reliability Assessment on Pile Foundation Bearing Capacity Based on the First Four Moments in High‐Order Moment Method

Analytical model on progressive collapse resistance of prestressed precast concrete frame under middle column removal scenario

Progressive Collapse Safety Evaluation of Truss Structures Considering Material Plasticity

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