Predicting the response of continuous RC deep beams under varying levels of differential settlement

Abstract

This paper investigates the effect of differential support settlement on shear strength and behavior of continuous reinforced concrete (RC) deep beams. A total of twenty three-dimensional nonlinear finite element models were developed taking into account various constitutive laws for concrete material in compression (crushing) and tension (cracking), steel plasticity (i.e., yielding and strain hardening), bond-slip at the concrete and steel reinforcement interface as well as unique behavior of spring-like support elements. These models are first validated by comparing numerical predictions in terms of load-deflection response, crack propagation, reaction distribution, and failure mode against that of measured experimental data reported in literature. Once the developed models were successfully validated, a parametric study was designed and performed. This parametric study examined number of critical parameters such as ratio and spacing of the longitudinal and vertical reinforcement, compressive and tensile strength of concrete, as well as degree (stiffness) and location of support stiffness to induce varying levels of differential settlement. This study also aims at presenting a numerical approach using finite element simulation, supplemented with coherent assumptions, such that engineers, practitioners, and researchers can carry out simple, but yet effective and realistic analysis of RC structural members undergoing differential settlements due to variety of load actions.

Keywords

concrete / continuous beams / deep beams / finite element modeling / support settlement

References

[1] Das B M, Sobhan K. Principles of Geotechnical Engineering. Boston: Cengage Learning, 2013

[2] Gunaratne M. The Foundation Engineering Handbook. Boca Raton: CRC Press, 2013

[3] Zhang N, Tan K H. Effects of support settlement on continuous deep beams and STM modeling. Engineering Structures, 2010, 32(2): 361–372

[4] Ashour A F. Tests of reinforced concrete continuous deep beams. ACI Structural Journal, 1997, 94(1): 3–12

[5] Asin M. The Behaviour of Reinforced Concrete Continuous Deep Beams. Delft: Delft University Press, 1999

[6] Leonhardt F, Walther R. Deep beams. Deutscher Ausschuss Fur Stahlbeton Bulletin 178, 1970

[7] Rogowsky D M, MacGregor J G, Ong S Y. Tests of reinforced concrete deep beams. Structural Engineering Report, 1983, 83(4): 614–623

[8] Zhang X H, Xu Y L, Zhan S, Zhu S, Tam H W, Au H Y. Simulation of support settlement and cable slippage by using a long-span suspension bridge testbed. Structure and Infrastructure Engineering, 2017, 13(3): 401–415

[9] Kim Y J, Gajan S, Saafi M. Settlement rehabilitation of a 35-year-old building: Case study integrated with analysis and implementation. Practice Periodical on Structural Design and Construction, 2011, 16(4): 215–222

[10] D’Orazio T B, Duncan J M. Differential settlement in steel tanks. Journal of Geotechnical Engineering, 1987, 113(9): 967–983

[11] Tan K H, Lu H Y. Shear behavior of large reinforced concrete deep beams and code comparisons. Structural Journal, 1999, 96(5): 836–846

[12] Khatab M A, Ashour A F, Sheehan T, Lam D. Experimental investigation on continuous reinforced SCC deep beams and comparisons with code provisions and models. Engineering Structures, 2017, 131: 264–274

[13] Kong F K, Robins P J, Cole D F. Web reinforcement effects on deep beams. ACI Journal, 1970, 67(2): 1010–1018

[14] Yang K H, Chung H S, Lee E T, Eun H C. Shear characteristics of high-strength concrete deep beams without shear reinforcements. Engineering Structures, 2003, 25(10): 1343–1352

[15] Tan K H, Kong F K, Teng S, Weng L W. Effect of web reinforcement on high-strength concrete deep beams. ACI Structural Journal, 1997, 94(5): 572–582

[16] Hawileh R A, El-Maaddawy T A, Naser M Z. Non-linear finite element modeling of concrete deep beams with openings strengthened with externally-bonded composites. Materials & Design, 2012, 42: 378–387

[17] Yang K H, Eun H C, Chung H S. The influence of web openings on the structural behavior of reinforced high-strength concrete deep beams. Engineering Structures, 2006, 28(13): 1825–1834

[18] Barney G B, Corley W G, Hanson J M, Parmelee R A. Behavior and design of prestressed concrete beams with large web openings. PCI Journal, 1977, 22(6): 32–61

[19] Berardi R, Lancellotta R. Yielding from field behavior and its influence on oil tank settlements. Journal of Geotechnical and Geoenvironmental Engineering, 2002, 128(5): 404–415

[20] Sykora M, Markova J, Mlcoch J, Molnar J, Presl K. Predicting service life of chimneys and cooling towers based on monitoring. In: Hordijk D, Luković M, eds. High Tech Concrete: Where Technology and Engineering Meet. Cham: Springer, 2018, 1671–1679

[21] Laefer D F, Ceribasi S, Long J H, Cording E J. Predicting RC frame response to excavation-induced settlement. Journal of Geotechnical and Geoenvironmental Engineering, 2009, 135(11): 1605–1619

[22] Lin L, Hanna A, Sinha A, Tirca L. High-rise building subjected to excessive settlement of its foundation: A case study. International Journal of Structural Integrity, 2017, 8(2): 210–221

[23] ANSYS. ANSYS Workbench Documentation. Version 11. Canonsburg: ANSYS Inc., 2007

[24] Abu-Obeidah A, Hawileh R A, Abdalla J A. Finite element analysis of strengthened RC beams in shear with aluminum plates. Computers & Structures, 2015, 147: 36–46

[25] Hawileh R A, Naser M Z, Abdalla J A. Finite element simulation of reinforced concrete beams externally strengthened with short-length CFRP plates. Composites. Part B, Engineering, 2013, 45(1): 1722–1730

[26] Demir A, Ozturk H, Dok G. 3D numerical modeling of RC deep beam behavior by nonlinear finite element analysis. Disaster Science and Engineering, 2016, 2(1): 13–18

[27] Hawileh R A, Abdalla J A, Tanarslan M, Naser M Z. Modeling of nonlinear cyclic response of shear-deficient RC T-beams strengthened with side bonded CFRP fabric strips. Computers and Concrete, 2011, 8(2): 193–206

[28] Biondini F, Vergani M. Deteriorating beam finite element for nonlinear analysis of concrete structures under corrosion. Structure and Infrastructure Engineering, 2015, 11(4): 519–532

[29] Hawileh R A, Naser M Z. Thermal-stress analysis of RC beams reinforced with GFRP bars. Composites. Part B, Engineering, 2012, 43(5): 2135–2142

[30] Naser M Z. Response of steel and composite beams subjected to combined shear and fire loading. Dissertation for the Doctoral Degree. East Lansing: Michigan State University, 2016

[31] Naser M Z. Behaviour of RC beams strengthened with CFRP laminates under fire—A finite element simulation. Thesis for the Master’s Degree. Sharjah: American University of Sharjah, 2011

[32] Sakar G, Hawileh R A, Naser M Z, Abdalla J A, Tanarslan M. Nonlinear behavior of shear deficient RC beams strengthened with near surface mounted glass fiber reinforcement under cyclic loading. Materials & Design, 2014, 61: 16–25

[33] Hawileh R A, Abdalla J A, Naser M Z, Tanarslan M. Finite element modeling of shear deficient RC beams strengthened with NSM CFRP rods under cyclic loading. ACI Special Publications, 2015, 301: 1–18

[34] William K J, Warnke E P. Constitutive models for the triaxial behavior of concrete. Proceedings of the International Association for Bridge and Structural Engineering, 1975, 19: 1–30

[35] Hognestad E, Hanson N, McHenry D. Concrete stress distribution in ultimate strength design. ACI Journal, 1955, 52(12): 455–479

[36] Comite Euro-International du Beton (CEB-FIP). CEB-FIP Model Code 1990. Bulletin D’Information, 1993

[37] Nie J, Fan J, Cai C. Stiffness and deflection of steel-concrete composite beams under negative bending. Journal of Structural Engineering, 2004, 130(11): 1842–1851

[38] Hamdia K M, Silani M, Zhuang X, He P, Rabczuk T. Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions. International Journal of Fracture, 2017, 206(2): 215–227

[39] Vu-Bac N, Lahmer T, Zhuang X, Nguyen-Thoi T, Rabczuk T. A software framework for probabilistic sensitivity analysis for computationally expensive models. Advances in Engineering Software, 2016, 100: 19–31

[40] Rabczuk T, Zi G, Bordas S, Nguyen-Xuan H. A geometrically non-linear three-dimensional cohesive crack method for reinforced concrete structures. Engineering Fracture Mechanics, 2008, 75(16): 4740–4758

[41] Rabczuk T, Akkermann J, Eibl J. A numerical model for reinforced concrete structures. International Journal of Solids and Structures, 2005, 42(5–6): 1327–1354

[42] Rabczuk T, Belytschko T. Cracking particles: A simplified meshfree method for arbitrary evolving cracks. International Journal for Numerical Methods in Engineering, 2004, 61(13): 2316–2343

[43] Rabczuk T, Zi G, Bordas S, Nguyen-Xuan H. A simple and robust three-dimensional cracking-particle method without enrichment. Computer Methods in Applied Mechanics and Engineering, 2010, 199(37–40): 2437–2455

[44] Rabczuk T, Belytschko T. A three-dimensional large deformation meshfree method for arbitrary evolving cracks. Computer Methods in Applied Mechanics and Engineering, 2007, 196(29–30): 2777–2799

[45] Rabczuk T, Belytschko T. Application of particle methods to static fracture of reinforced concrete structures. International Journal of Fracture, 2006, 137(1–4): 19–49

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