Power based seismic collapse criterion for ductile and non-ductile framed structures
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Power based seismic collapse criterion for ductile and non‑ductile framed structures Shivang Pathak1 · Amar Khennane1 · Safat Al‑Deen1 Received: 9 July 2019 / Accepted: 31 July 2020 © Springer Nature B.V. 2020
Abstract In performance-based earthquake engineering design, quantification of the collapse capacity of a structure is of paramount requirement for the development of collapse fragility models. Different methods for predicting collapse provide varying estimates. Consequently, performance design is highly sensitive to the method employed to quantify the collapse capacity. Recently, new energy-based methods have emerged as alternatives to the conventionally used criterion with the aim of objectively quantifying structural collapse. Although these new energy-based criteria are much more robust than the conventional ones, they inherently rely on the occurrence of large deformations. This makes them lagging indicators of collapse resulting in un-conservative results. Moreover, they mainly focus on describing P–Δ instability governed collapse mechanisms, which typically occur in ductile structures. As an improvement, this study presents a new power balance-based numerical collapse criterion that tracks the rate at which energy is supplied and dissipated in the structure. It acts as a leading indicator and successfully predicts seismic collapse in framed structures under both gravity load and sidesway collapse mechanisms. This is illustrated using a wide range of validated collapse simulations. It is found that the probability of collapse predicted using the power criterion falls between that derived from the IM/DM (intensity measure/damage measure) based rules and the energy-based criterion. Keywords Performance based earthquake engineering design · Power balance · Structural collapse simulation · Gravity load collapse mechanism · Sidesway collapse mechanism
* Shivang Pathak [email protected] Amar Khennane [email protected] Safat Al‑Deen s.al‑[email protected] 1
School of Engineering and IT, University of New South Wales, Canberra, Australia
13
Vol.:(0123456789)
Bulletin of Earthquake Engineering
1 Introduction The prediction of the collapse capacity of a structure has been a major area of interest ever since the performance based design philosophy was introduced (Zareian et al. 2010). It is essential for the development of collapse fragility curves, and is particularly relevant to designing for the performance level of collapse prevention (FEMA-P750 2009; FEMA-356 2000; ASCE/SEI-41 2017). According to Ibarra and Krawinkler (2005), global collapse is defined as the point where the structural system as a whole loses its capacity to sustain gravity loads. On the other hand, partial collapse is defined as the point where an element or a part of the structure fails to sustain gravity loads. Several methods have been proposed in the literature for defining and evaluating structural collapse under seismic loads (Villaverde 2007; Araki and Hjelmstad 2000). They span from the simplest method, requiring
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