Predicting the response of continuous RC deep beams under varying levels of differential settlement
M. Z. Naser1(), R. A. Hawileh2,3
1. Glenn Department of Civil Engineering, Clemson University, Clemson, SC 29634, USA 2. Department of Civil Engineering, American University of Sharjah, Sharjah, United Arab Emirates 3. Materials Science and Engineering Research Institute, American University of Sharjah, Sharjah, United Arab Emirates
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.
. [J]. Frontiers of Structural and Civil Engineering, 2019, 13(3): 686-700.
M. Z. Naser, R. A. Hawileh. Predicting the response of continuous RC deep beams under varying levels of differential settlement. Front. Struct. Civ. Eng., 2019, 13(3): 686-700.
A F Ashour. Tests of reinforced concrete continuous deep beams. ACI Structural Journal, 1997, 94(1): 3–12
5
M Asin. The Behaviour of Reinforced Concrete Continuous Deep Beams. Delft: Delft University Press, 1999
6
F Leonhardt, R. Walther Deep beams. Deutscher Ausschuss Fur Stahlbeton Bulletin 178, 1970
7
D M Rogowsky, J G MacGregor, S Y Ong. Tests of reinforced concrete deep beams. Structural Engineering Report, 1983, 83(4): 614–623 https://doi.org/10.7939/R3RX93D7D
8
X H Zhang, Y L Xu, S Zhan, S Zhu, H W Tam, H Y Au. Simulation of support settlement and cable slippage by using a long-span suspension bridge testbed. Structure and Infrastructure Engineering, 2017, 13(3): 401–415 https://doi.org/10.1080/15732479.2016.1172322
9
Y J Kim, S Gajan, M Saafi. 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 https://doi.org/10.1061/(ASCE)SC.1943-5576.0000092
K H Tan, H Y Lu. Shear behavior of large reinforced concrete deep beams and code comparisons. Structural Journal, 1999, 96(5): 836–846
12
M A Khatab, A F Ashour, T Sheehan, D Lam. Experimental investigation on continuous reinforced SCC deep beams and comparisons with code provisions and models. Engineering Structures, 2017, 131: 264–274 https://doi.org/10.1016/j.engstruct.2016.11.005
13
F K Kong, P J Robins, D F Cole. Web reinforcement effects on deep beams. ACI Journal, 1970, 67(2): 1010–1018
14
K H Yang, H S Chung, E T Lee, H C Eun. Shear characteristics of high-strength concrete deep beams without shear reinforcements. Engineering Structures, 2003, 25(10): 1343–1352 https://doi.org/10.1016/S0141-0296(03)00110-X
15
K H Tan, F K Kong, S Teng, L W Weng. Effect of web reinforcement on high-strength concrete deep beams. ACI Structural Journal, 1997, 94(5): 572–582
16
R A Hawileh, T A El-Maaddawy, M Z Naser. Non-linear finite element modeling of concrete deep beams with openings strengthened with externally-bonded composites. Materials & Design, 2012, 42: 378–387 https://doi.org/10.1016/j.matdes.2012.06.004
17
K H Yang, H C Eun, H S Chung. The influence of web openings on the structural behavior of reinforced high-strength concrete deep beams. Engineering Structures, 2006, 28(13): 1825–1834 https://doi.org/10.1016/j.engstruct.2006.03.021
18
G B Barney, W G Corley, J M Hanson, R A Parmelee. Behavior and design of prestressed concrete beams with large web openings. PCI Journal, 1977, 22(6): 32–61 https://doi.org/10.15554/pcij.11011977.32.61
19
R Berardi, R Lancellotta. Yielding from field behavior and its influence on oil tank settlements. Journal of Geotechnical and Geoenvironmental Engineering, 2002, 128(5): 404–415 https://doi.org/10.1061/(ASCE)1090-0241(2002)128:5(404)
20
M Sykora, J Markova, J Mlcoch, J Molnar, K Presl. 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
D F Laefer, S Ceribasi, J H Long, E J Cording. Predicting RC frame response to excavation-induced settlement. Journal of Geotechnical and Geoenvironmental Engineering, 2009, 135(11): 1605–1619 https://doi.org/10.1061/(ASCE)GT.1943-5606.0000128
22
L Lin, A Hanna, A Sinha, L Tirca. High-rise building subjected to excessive settlement of its foundation: A case study. International Journal of Structural Integrity, 2017, 8(2): 210–221 https://doi.org/10.1108/IJSI-05-2016-0019
23
ANSYS. ANSYS Workbench Documentation. Version 11. Canonsburg: ANSYS Inc., 2007
24
A Abu-Obeidah, R A Hawileh, J A Abdalla. Finite element analysis of strengthened RC beams in shear with aluminum plates. Computers & Structures, 2015, 147: 36–46 https://doi.org/10.1016/j.compstruc.2014.10.009
25
R A Hawileh, M Z Naser, J A Abdalla. Finite element simulation of reinforced concrete beams externally strengthened with short-length CFRP plates. Composites. Part B, Engineering, 2013, 45(1): 1722–1730 https://doi.org/10.1016/j.compositesb.2012.09.032
26
A Demir, H Ozturk, G Dok. 3D numerical modeling of RC deep beam behavior by nonlinear finite element analysis. Disaster Science and Engineering, 2016, 2(1): 13–18
27
R A Hawileh, J A Abdalla, M Tanarslan, M Z Naser. 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 https://doi.org/10.12989/cac.2011.8.2.193
28
F Biondini, M Vergani. Deteriorating beam finite element for nonlinear analysis of concrete structures under corrosion. Structure and Infrastructure Engineering, 2015, 11(4): 519–532 https://doi.org/10.1080/15732479.2014.951863
M Z Naser. 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
M Z Naser. 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
G Sakar, R A Hawileh, M Z Naser, J A Abdalla, M Tanarslan. Nonlinear behavior of shear deficient RC beams strengthened with near surface mounted glass fiber reinforcement under cyclic loading. Materials & Design, 2014, 61: 16–25 https://doi.org/10.1016/j.matdes.2014.04.064
33
R A Hawileh, J A Abdalla, M Z Naser, M Tanarslan. Finite element modeling of shear deficient RC beams strengthened with NSM CFRP rods under cyclic loading. ACI Special Publications, 2015, 301: 1–18
34
K J William, E P Warnke. Constitutive models for the triaxial behavior of concrete. Proceedings of the International Association for Bridge and Structural Engineering, 1975, 19: 1–30
35
E Hognestad, N Hanson, D McHenry. 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
K M Hamdia, M Silani, X Zhuang, P He, T Rabczuk. Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions. International Journal of Fracture, 2017, 206(2): 215–227 https://doi.org/10.1007/s10704-017-0210-6
39
N Vu-Bac, T Lahmer, X Zhuang, T Nguyen-Thoi, T Rabczuk. A software framework for probabilistic sensitivity analysis for computationally expensive models. Advances in Engineering Software, 2016, 100: 19–31 https://doi.org/10.1016/j.advengsoft.2016.06.005
40
T Rabczuk, G Zi, S Bordas, H Nguyen-Xuan. A geometrically non-linear three-dimensional cohesive crack method for reinforced concrete structures. Engineering Fracture Mechanics, 2008, 75(16): 4740–4758 https://doi.org/10.1016/j.engfracmech.2008.06.019
41
T Rabczuk, J Akkermann, J Eibl. A numerical model for reinforced concrete structures. International Journal of Solids and Structures, 2005, 42(5–6): 1327–1354 https://doi.org/10.1016/j.ijsolstr.2004.07.019
42
T Rabczuk, T Belytschko. Cracking particles: A simplified meshfree method for arbitrary evolving cracks. International Journal for Numerical Methods in Engineering, 2004, 61(13): 2316–2343 https://doi.org/10.1002/nme.1151
43
T Rabczuk, G Zi, S Bordas, H Nguyen-Xuan. A simple and robust three-dimensional cracking-particle method without enrichment. Computer Methods in Applied Mechanics and Engineering, 2010, 199(37–40): 2437–2455 https://doi.org/10.1016/j.cma.2010.03.031
44
T Rabczuk, T Belytschko. A three-dimensional large deformation meshfree method for arbitrary evolving cracks. Computer Methods in Applied Mechanics and Engineering, 2007, 196(29–30): 2777–2799 https://doi.org/10.1016/j.cma.2006.06.020
45
T Rabczuk, T Belytschko. Application of particle methods to static fracture of reinforced concrete structures. International Journal of Fracture, 2006, 137(1–4): 19–49 https://doi.org/10.1007/s10704-005-3075-z