Numerical Investigations of Progressive Collapse Behaviour of Multi-Storey Reinforced Concrete Frames
Abstract
:1. Introduction
2. Numerical Modelling of Reinforced Concrete Frames
2.1. Development of Numerical Model
2.2. Simulation of Bond
2.3. Mesh Sensitivity Analysis
3. Behaviour of Single-Storey Frame
3.1. Load–Displacement Relationship
3.2. Failure Mode of Single-Storey Frame
3.3. Force Transfer Mechanism
4. Behaviour of Two-Storey Frame
4.1. Global Behaviour of Frame
4.2. Failure Mode of Two-Storey Frame
4.3. Force Transfer Mechanisms
5. Behaviour of Three-Storey Frame
5.1. Global Behaviour of Frame
5.2. Failure Mode of Three-Storey Frame
5.3. Force Transfer Mechanisms
6. Parametric Study
7. Development of Design Method
8. Conclusions
- (1)
- A single-storey frame can develop compressive arch action and subsequent catenary action under progressive collapse scenarios, with axial compression force in the beam at the compressive arch action stage and axial tension force at the catenary action stage.
- (2)
- Multi-storey reinforced concrete frames only develop compressive arch action and catenary action in the beam at the first storey, whereas beams at other storeys can develop limited axial compression force in the whole loading process.
- (3)
- By increasing the number of storeys, the progressive collapse resistance of frames can be increased. The increase in the load resistance depends mainly on the flexural resistance of beams at upper storeys due to the limited axial compression in the beam, in particular the beams at the storeys between the first and top storeys.
- (4)
- A design method is proposed based on numerical results of progressive collapse resistance of multi-storey frames. In the design method, only the compressive arch action capacity in the first-storey beam is considered, whereas flexural resistance of beams at other storeys is incorporated. Comparisons with numerical results suggest that the design method can evaluate the load resistance of multi-storey frames with reasonably good accuracy.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
- DoD. Design of Buildings to Resist Progressive Collapse; Unified Facilities Criteria (UFC) 4-023-03; Department of Defence: Washington, DC, USA, 2013.
- GSA. General Services Administration Alternate Path Analysis & Design Guidelines for Progressive Collapse Resistance; General Services Administration: Washington, DC, USA, 2013.
- Su, Y.; Tian, Y.; Song, X. Progressive collapse resistance of axially-restrained frame beams. ACI Struct. J. 2009, 106, 600–607. [Google Scholar]
- Yu, J.; Tan, K.H. Special Detailing Techniques to Improve Structural Resistance against Progressive Collapse. J. Struct. Eng. 2014, 140, 04013077. [Google Scholar] [CrossRef]
- Yu, J.; Tan, K.H. Structural Behavior of Reinforced Concrete Frames Subjected to Progressive Collapse. ACI Struct. J. 2017, 114, 63–74. [Google Scholar] [CrossRef]
- Kang, S.-B.; Tan, K.H. Behaviour of Precast Concrete Beam-Column Sub-assemblages Subject to Column Removal. Eng. Struct. 2015, 93, 85–96. [Google Scholar] [CrossRef]
- Kang, S.-B.; Tan, K.H. Robustness Assessment of Exterior Precast Concrete Frames under Column Removal Scenarios. J. Struct. Eng. 2016, 142, 04016131. [Google Scholar] [CrossRef]
- Alshaikh, I.M.H.; Bakar, B.H.A.; Alwesabi, E.A.H.; Akil, H.M. Experimental investigation of the progressive collapse of reinforced concrete structures: An overview. Structures 2020, 25, 881–900. [Google Scholar] [CrossRef]
- Yu, J.; Tan, K.H. Structural Behavior of RC Beam-Column Subassemblages under a Middle Column Removal Scenario. J. Struct. Eng. 2013, 139, 233–250. [Google Scholar] [CrossRef]
- Long, X.; Lee, C.K. Improved strut-and-tie method for 2D RC beam-column joints under monotonic loading. Comput. Concr. 2015, 15, 807–831. [Google Scholar] [CrossRef]
- Long, X.; Lee, C.K. Modelling of two-dimensional reinforced concrete beam-column joints subjected to monotonic loading. Adv. Struct. Eng. 2015, 18, 1461–1474. [Google Scholar] [CrossRef]
- Yu, J.; Tan, K.H. Experimental and Numerical Investigation on Progressive Collapse Resistance of Reinforced Concrete Beam-Column Sub-assemblages. Eng. Struct. 2013, 55, 90–106. [Google Scholar] [CrossRef]
- Kiakojouri, F.; De Biagi, V.; Chiaia, B.; Sherdaii, M.R. Strengthening and retrofitting techniques to mitigate progressive collapse: A critical review and future research agenda. Eng. Struct. 2022, 262, 114274. [Google Scholar] [CrossRef]
- Yi, W.J.; He, Q.F.; Xiao, Y.; Kunnath, S.K. Experimental study on progressive collapse-resistant behavior of reinforced concrete frame structures. ACI Struct. J. 2008, 105, 433–439. [Google Scholar]
- Sagiroglu, S. Analytical and Experimental Evaluation of Progressive Collapse Resistance of Reinforced Concrete Structures; Northeastern University: Boston, MA, USA, 2012. [Google Scholar]
- Qian, K.; Weng, Y.-H.; Fu, F.; Deng, X.-F. Numerical evaluation of the reliability of using single-story substructures to study progressive collapse behaviour of multi-story RC frames. J. Build. Eng. 2021, 33, 101636. [Google Scholar] [CrossRef]
- Sagiroglu, S.; Sasani, M. Progressive Collapse-Resisting Mechanisms of Reinforced Concrete Structures and Effects of Initial Damage Locations. J. Struct. Eng. 2014, 14, 04013073. [Google Scholar] [CrossRef]
- Yu, J.; Tian, J.-W. Is the Load Transfer Mechanism of Each Story in a Multi-Story Building the Same Subjected to Progressive Collapse. In Proceedings of the Structural Congress, Denver, CO, USA, 6–8 April 2017. [Google Scholar]
- Xiao, Y.; Kunnath, S.K.; Li, F.W.; Zhao, Y.B.; Lew, H.S.; Bao, Y. Collapse Test of Three-Story Half-Scale Reinforced Concrete Frame Building. ACI Struct. J. 2015, 112, 429–438. [Google Scholar] [CrossRef]
- Russell, J.M.; Sagaseta, J.; Cormie, D.; Jones, A.E.K. Historical review of prescriptive design rules for robustness after the collapse of Ronan Point. Structures 2019, 20, 365–373. [Google Scholar] [CrossRef]
- DIANA. DIANA Users’ Manual Release 10.2: DIANA FEA bv; DIANA: Memphis, TN, USA, 2017. [Google Scholar]
- Tan, L. Experimental Tests and Numerical Analysis on Progressive Collapse Behavior of Planar Reinforced Concrete Frames; Chongqing University: Chongqing, China, 2022. [Google Scholar]
- Shan, S.; Li, S.; Xu, S.; Xie, L. Experimental study on the progressive collapse performance of RC frames with infill walls. Eng. Struct. 2016, 111, 80–92. [Google Scholar] [CrossRef]
- GB50010-2010; Ministry of Construction. Code for Design of Concrete Structures. China Architecture & Building Press: Beijing, China, 2010.
- Lu, X.; Lin, K.; Li, C.; Li, Y. New analytical calculation models for compressive arch action in reinforced concrete structures. Eng. Struct. 2018, 168, 721–735. [Google Scholar] [CrossRef] [Green Version]
- Kang, S.B.; Wang, S. Design Approach for Compressive Arch Action in Reinforced Concrete Beams. ACI Struct. J. 2020, 117, 197–206. [Google Scholar] [CrossRef]
Specimen | Compressive Arch Action Capacity (kN) | Compressive Action Capacity (kN) | (kN) | Calculated Value (kN) | ||
---|---|---|---|---|---|---|
K1 | 30.0 | 46.5 | 16.5 | 0.55 | 30.0 | 1.00 |
K2 | 56.5 | 81.9 | 25.4 | 0.45 | 54.6 | 0.97 |
K3 | 83.1 | 116.2 | 33.1 | 0.40 | 79.2 | 0.95 |
K4 | 109.2 | 148.5 | 39.3 | 0.36 | 103.8 | 0.95 |
K5 | 136.3 | 182.0 | 45.7 | 0.34 | 128.4 | 0.94 |
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Fu, Q.-L.; Tan, L.; Long, B.; Kang, S.-B. Numerical Investigations of Progressive Collapse Behaviour of Multi-Storey Reinforced Concrete Frames. Buildings 2023, 13, 533. https://doi.org/10.3390/buildings13020533
Fu Q-L, Tan L, Long B, Kang S-B. Numerical Investigations of Progressive Collapse Behaviour of Multi-Storey Reinforced Concrete Frames. Buildings. 2023; 13(2):533. https://doi.org/10.3390/buildings13020533
Chicago/Turabian StyleFu, Qiao-Ling, Liang Tan, Bin Long, and Shao-Bo Kang. 2023. "Numerical Investigations of Progressive Collapse Behaviour of Multi-Storey Reinforced Concrete Frames" Buildings 13, no. 2: 533. https://doi.org/10.3390/buildings13020533