Simplified Compression Arch Action Model for R/C Beam-column Assemblages

Main Article Content

Fouad B. A. Beshara
Ahmed A. Mahmoud
Osama O. El-Mahdy
Ahmed N. Khater


A set of analytical equations are developed for calculating the beam-column assemblage flexure action capacity and compression arching action capacity under a middle column removal scenario. The suggested equations covered most of the main parameters affecting the assemblage behavior including seismic detailing, longitudinal reinforcement ratios, concrete confinement, and the contribution of concrete flanged slabs. The proposed analytical model for predicting the flexural and compression arching action capacities is validated with a large number of experimental results. The model provides a good estimation for 79 beam-column assemblages with several geometrical, reinforcement configurations, and material parameters. The mean values of the experimental to the theoretical ratio for calculating flexure and compression arching capacities are 1.15 and 1.16, respectively. The predictions of previous compression arch action models are found to be more conservative. Finally, the proposed model is utilized in parametric studies including all key parameters that affected resistance of the beam-column assemblages against progressive collapse.

Reinforced concrete, beam-column assemblage, progressive collapse, flexure capacity, compression arch action

Article Details

How to Cite
Beshara, F. B. A., Mahmoud, A. A., El-Mahdy, O. O., & Khater, A. N. (2019). Simplified Compression Arch Action Model for R/C Beam-column Assemblages. Journal of Engineering Research and Reports, 7(3), 1-11.
Original Research Article


Department of Defense (DoD). Design of structures to resist progressive collapse. Unified facility criteria, UFC 4-023-03, Washington, DC; 2016.

General Services Administration (GSA). Alternate path analysis and design guidelines for progressive collapse resistance. Washington, DC; 2016.

Farhang V, N Valipour, H Samali, B Foster S. Development of arching action in longitudinally-restrained reinforced concrete beams. Construction and Building Materials, Elsevier BV. 2013;47:7–19.

Marjanishvili, SM. Progressive analysis procedure for progressive collapse. Journal of Performance of Constructed Facilities. 2004;18(2):79-85.

Qian K, Li B. Slab effects on response of reinforced concrete substructures after loss of corner column. ACI Struct J. 2012; 109(6):845–55.

Lu X, Lin K, Li C, Li Y. New analytical calculation models for compressive arch action in reinforced concrete structures. Engineering Structures, Elsevier BV. 2018; 168:721–735.

Pour HV, Vessali N, Foster SJ, Samali B. Influence of concrete compressive strength on the arching behavior of reinforced concrete beam assemblages. Advances in Structural Engineering, Sage Publications. 2015;18(8):1199–1214.

Su Y, P Tian, Y Song, XS. Progressive collapse resistance of axially-restrained frame beams. ACI Structural Journal. 2009;106(5):600-607.

Yu J, Tan KH. Special detailing techniques to improve structural resistance against progressive collapse. Journal of Structural Engineering, American Society of Civil Engineers (ASCE). 2014;140(3):4013077.

Tsai MH, Huang TC. Collapse-resistant performance of rc beam–column sub-assemblages with varied section depth and stirrup spacing. The Structural Design of Tall and Special Buildings. 2015;24(8): 555–570.

Chanh TH, Jongyul P, Jinkoo K. Progressive collapse-resisting capacity of rc beam–column sub-assemblage. Magazine of Concrete Research. 2011; 63(4):297-310.

Elsayed WM, Abdel Moaty, MAN, Issa M E. Effect of reinforcing steel debonding on rc frame performance in resisting progressive collapse. HBRC Journal, Informa UK Limited. 2016;12(3):242–254.

Ren P, Li Y, Lu X, Guan H, Zhou Y. Experimental investigation of progressive collapse resistance of one-way reinforced concrete beam–slab substructures under a middle-column-removal scenario. Engineering Structures, Elsevier BV. 2016; 118:28–40.

Lu X, Lin K, Li Y, Guan H, Ren P, Zhou Y. Experimental investigation of rc beam-slab substructures against progressive collapse subject to an edge-column-removal scenario. Engineering Structures, Elsevier BV. 2017;149:91–103.

Bao Y, Lew HS, Kunnath SK. Modeling of reinforced concrete assemblies under column-removal scenario. Journal of Structural Engineering, American Society of Civil Engineers (ASCE). 2014;140(1): 4013026.

KangS-B, Tan KH. Behavior of precast concrete beam–column sub-assemblages subject to column removal. Engineering Structures, Elsevier BV. 2015;93:85–96.

Alogla K, Weekes L, Nelson L. A new mitigation scheme to resist progressive collapse of rc structures. Construction and Building Materials, Elsevier BV. 2016;125: 533–545.

Ahmed N Khater. Progressive collapse assessment of reinforced concrete beam-column assemblages. PhD Thesis, Faculty of Engineering, Benha University, Cairo Egypt; 2016.

Abbasnia R, Nav FM. A theoretical method for calculating the compressive arch capacity of rc beams against progressive collapse. Structural Concrete, Wiley. 2016; 17(1):21–31.

Jian H, Zheng Y. Simplified models of progressive collapse response and progressive collapse-resisting capacity curve of rc beam-column substructures. Journal of Performance of Constructed Facilities, American Society of Civil Engineers (ASCE). 2014;28(4):4014008.

Paula T, Priestley MJN. Seismic design of reinforced concrete and masonry buildings. John Wiley & Sons, Inc; 1992.

Yu J, Tan KH. Analytical model for the capacity of compressive arch action of reinforced concrete sub-assemblages. Magazine of Concrete Research, Thomas Telford Ltd. 2014;66(3):109–126.

Park R, Gamble WL. Reinforced concrete slabs. John Wiley & Sons; 2000.

Mander JB, Priestley MJN, Park R. Observed stress-strain behavior of confined concrete. Structure Engineering. ASCE. 1988;114(8):1827-1849.

Egyptian Code of Practice: ECP 203. Design and Construction for Reinforced Concrete Structures, Ministry of Building Construction, Research Center for Housing, Building and Physical Planning, Cairo, Egypt; 2017.

ACI American Concrete Institute. ACI 318-14: building code requirements for structural concrete. Farmington Hills, Michigan, USA; 2014.

Usefi N, Mohajeri NF, Abbasnia R. Analytical investigation of reinforced concrete frames under middle column removal scenario. Advances in Structural Engineering, Sage Publications. 2017; 21(9):1388–1401.