Since 1963
ARTICLE
Force mechanism and conceptual design of reinforced concrete short beam without web reinforcement
1
School of Civil Engineering, Hunan University of Science and Technology, Xiangtan, China
Submission date: 2022-04-27
Final revision date: 2022-09-14
Acceptance date: 2022-09-29
Online publication date: 2022-10-24
Publication date: 2022-11-25
Corresponding author
Journal of Theoretical and Applied Mechanics 2022;60(4):659-671
KEYWORDS
reinforced concrete short beamtopology optimizationconceptual designloadtransferpathMichell criterion
TOPICS
ABSTRACT
Topology Optimization and Finite Element Analysis were carried out for reinforced concrete
short beams to reveal the force mechanism. The results show that load-transfer paths
for the beams can evolve from Bi-directional Evolutionary Structural Optimization and be
mechanically supported by the Michell criterion. In the beams, the distribution of a high-
-stress compression area appears as a truss under a concentrated load and a tie-arch under
a uniform load. The beams do not have much higher bearing capacity but can consume
many more materials. Consequently, new design ideas were recommended based on the load
transfer paths obtained by Topology Optimization.
REFERENCES (24)
1.
ACI (American Concrete Institute) Committee 318, 2019, Building code requirements for structural concrete and commentary, (ACI 318-19), Farmington Hills, MI: ACI.
2.
Bendsøe M.P., 1989, Optimal shape design as a material distribution problem, Structural and Multidisciplinary Optimization, 1, 4, 193-202.
3.
Bendsøe M.P., Kikuchi N., 1988, Generating optimal topologies in structural design using a homogenization method, Computer Methods in Applied Mechanics and Engineering , 71, 2, 197-224.
4.
Bendsøe M.P., Sigmund O., 2003, Extensions and applications. In: Topology Optimization, Springer, Berlin, 71-158.
5.
Chen H., Yi W.J., Hwang H.J., 2018, Cracking strut-and-tie model for shear strength evaluation of reinforced concrete deep beams, Engineering Structures, 163, May 15, 396-408.
6.
Chinese Code GB50010-2010, 2016, Code for Design of Concrete Structures, Ministry of Housing and Urban-Rural Development of the People’s Republic of China 2016, Beijing, China (in Chinese).
7.
Díaz R.A.S., Sarmiento Nova S.J.S., Teixeira da Silva M.C.A., Trautwein L.M., de Almeida, L.C., 2020, Reliability analysis of shear strength of reinforced concrete deep beams using NLFEA, Engineering Structures, 203, 109760.
8.
Dorn W.S., Gomory R.E., Greenberg H.J., 1964, Automatic design of optimal structures, Journal de Mcanique, 3, 25-52.
10.
Huang X., Xie Y.M., 2007, Numerical stability and parameters study of an improved bi-directional evolutionary structural optimization method, Structural Engineering and Mechanics, 27, 1, 49-61.
11.
Ismail K.S., Guadagnini M., Pilakoutas K., 2018, Strut-and-tie modeling of reinforced concrete deep beams, Journal of Structural Engineering, 144, 2, 04017216.
12.
Jewett J.L., Carstensen J.V., 2019, Experimental investigation of strut-and-tie layouts in deep RC beams designed with hybrid bi-linear topology optimization, Engineering Structures, 197, 109322.
13.
Kotsovos, 1988, Compressive force path concept: basis for reinforced concrete ultimate limit state design, Structural Journal, 85, 1, 68-75
14.
Lewiński T., Sokoł T., Graczykowski C., 2018, Michell Structures, Springer, Berlin.
15.
Liu X., Yi W.J., 2013, Construction of strut-and-tie model for reinforced concrete beams by optimal method, Engineering Mechanics, 30, 9, 151-157.
16.
Magnucki K., Malinowski M., Magnucka-Blandzi E., Lewiński J., 2017, Three-point bending of a short beam with symmetrically varying mechanical properties, Composite Structures, 179, 552-557.
17.
Michell A.G.M., 1904, The limits of economy of material in frame structure, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 8, 47, 589-597.
18.
Querin O.M., Steven G.P., Xie Y.M., 1998, Evolutionary structural optimization (ESO) using a bidirectional algorithm, Engineering Computations, 15, 8, 1031-1048.
19.
Querin O.M., Young V., Steven G.P., Xie Y.M., 2000, Computational efficiency and validation of bi-directional evolutionary structural optimization, Computer Methods in Applied Mechanics and Engineering, 189, 2, 559-573.
20.
Rombach G.A., 2011, Finite Element Design of Concrete Structures, Ice Publishing, London.
21.
Uenaka K., Tsunokake H., 2017, Behavior of concrete filled elliptical steel tubular deep beam under bending-shear, Structures, 10, 89-95.
22.
Xia L., Xia Q., Huang X., Xie Y.M., 2018, Bi-directional evolutionary structural optimization on advanced structures and materials: a comprehensive review, Archives of Computational Methods in Engineering, 25, 2, 437-478.
23.
Xie Y.M., Steven G.P., 1993, A simple evolutionary procedure for structural optimization, Computers and Structures, 49, 5, 885-896.
24.
Yang X.Y., Xie Y.M., Liu J.S., Parks G.T., Clarkson P.J., 2002, Perimeter control in the bidirectional evolutionary optimization method, Structural and Multidisciplinary Optimization, 24, 6, 430-440.
| eISSN: | 2543-6309 |
| ISSN: | 1429-2955 |
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
