Build-up Virtual Laboratory for Reinforced Concrete Structures to Enhance Understanding Design Requirements Hwang, Young Kwang Deressa, Adeba Abera Dept. Civil and Environmental Engineering Yonsei University Seoul, Korea Dept. Civil and Environmental Engineering Yonsei University Seoul, Korea Bolander, John E. Lim, Yun Mook Dept. Civil and Environmental Engineering University of California Davis Davis, USA Dept. Civil and Environmental Engineering Yonsei University Seoul, Korea yunmook@yonsei.ac.kr Abstract—In this paper, we are trying to provide a simulation tool to find the different failure behavior of reinforced concrete (RC) structures with various design conditions. For example, design code asked designers/students to make distribution of re-bars for several numbers rather than one re-bar in the designed beam. Students can estimate the total amount of reinforcement cross sectional area by simple calculation, but students have to distribute the total amount area of re-bars to several numbers of re-bars with small diameter. In this requirement of the code, the students who learn RC structure design at the beginning stage are not easy to understand from theoretical point of view. However, they can easily learn, if they have hands on experience like real experiments or numerical simulations. Here, the real experiments for RC structures are required a lot of time and cost. Therefore, if a realistic simulation tool, so-called ‘Virtual RC Structure Lab’, is provided for engineering educational purpose, students could have a chance to learn from virtual hands on experience for RC structure design. show them all about why the design requirements are asked. So, it is the main reason why the experimental work for engineering studies are essential curriculum in undergraduate courses. Keywords—virtual laboratory; RC structures; failure behavior; hands on experience learning In this paper, we are trying to provide such a RC structure laboratory virtually to educate undergraduate engineering students to have hands on experience rather than to learn from the literature. It is the main purpose of ‘Virtual RC Structure Lab.’ to provide not only table top calculation but also figuring out with hands on experience. This time, we are going to provide an example for the differences of failure behaviors of RC beams. They are going to be tested under bending loads with and without following requirements for the distributing rebars. I. INTRODUCTION For civil engineering field, design requirements are one of the main subject to study, but they are not easy to understand for the beginning at early undergraduate engineering students. Reinforced concrete structure design is one of these types of studies in civil engineering. Designed procedure is not difficult to the students, but some of design requirements are asked to follow the rules suddenly at the end of design procedure. Sometimes, the requirements are hard to understand because they come into the design requirements according to empirical results of studies. In Korea, old wisdom tells us that “Watching a fact once is much better to understand compared to hear hundred times.” That is the same word in education methodology. Experience is the best learning method in the education. If students made RC structures with and without to meet design requirements, then the test results of the structures However, it is hard to make experiments in some cases in RC structure design class because it takes a lot of time and cost. For example, one simple experiment for a RC beam needs at least one and half month for preparing and curing before the test as well as 2,000 USD for the material and labor cost. However, these are only for the preparing specimens before the loading tests. Also, the test set-up and technicians for the loading tests are the other essential part of the experiments. If we are trying to make a test for group of students, we need a lot of time and money. Therefore, it is not easy to provide good experimental environment to the students especially for developing countries. II. NUMERICAL MODEL FOR SIMULATION A. RBSN(Rigid-Body-Spring Network) For concrete simulation, RBSN (Rigid-Body-SpringNetwork) model, one of random lattice models, was adopted. In this model, concrete is considered as a collection of rigid cells, so-called Voronoi cells. Between the cells, there is a 978-1-4799-8706-1/15/$31.00 ©2015 IEEE 20-24 September 2015, Florence, Italy Proceedings of 2015 International Conference on Interactive Collaborative Learning (ICL) (a) Generated point (b) Delaunay triangulation (c) Voronoi diagram Fig. 1. Mesh construction process [2]. Fig. 3. The process of virtual laboratory experiment. Fig. 2. Reinforcing element within a two-cell assembly of a lattice model [2]. spring set and it expresses the overall behavior of concrete [1]. General mesh generation process is described in figure 1. B. Semi-discrete reinforcement The re-bars of this simulation are modeled by semi-discrete method ([2], [3]). The re-bar can be generated independent of mesh configuration. The re-bar crosses facets of Voronoi diagram and it contributes to the stiffness of the RBSN elements. This semi-discrete method adds no additional degrees of freedom to the system. Therefore, simulation can be run more efficient way. Figure 2. shows the reinforcing element within a two-cell assembly of a lattice model. visualization of meshes. Then, users utilize these preprocessing information and set boundary conditions and material properties to run analysis program. After analysis, users can see the results (deformation, fracture, loaddisplacement curve, etc.) by simple post-processing program with visualization capacity. These whole processes can be easily executed by the users through the providing guideline. In this study, we adopted the geometry and basic information from the previous technical literatures for four points bending test of RC beam ([4], [5]). We simulated RC beam for three cases having same amount of reinforcement area but different number of reinforcement (1, 3, and 6, respectively). Table I. shows the properties of concrete and re-bar used in this simulation. TABLE I. Material III. VIRTUAL RC STRUCTURE LABORATORY Our research team is performing a research that developing RC structure analysis program for educational purpose. Now, we are starting five years government funded project, EDISON, to build the Virtual Laboratory. The general process of virtual laboratory is described in Figure 3. This system can be opened for the students and public. Students can access to the website providing virtual laboratory platform from anywhere. The Graphic User Interface (GUI) environment and guidelines will be provided. At the beginning of virtual experiments, users specify the geometry of the specimens and this information used as input in mesh generation process, so-called pre-processing including Concrete PROPERTIES OF MATERIALS Property Tensile strength, ft 3.29 MPa Elasticity, Ec 25.4 GPa Fracture energy, Gf 81.1 N/m Poisson’s ratio, Ɗ Re-bar Magnitude 0.19 Elasticity, Es 186.0 GPa Yield stress, fy 350.0 MPa Figure 4. shows RC structure configuration, boundary condition and its cross section which has different number of re-bar. The total amount reinforcement area (As) is about 398 mm2. There are three simulation cases. 978-1-4799-8706-1/15/$31.00 ©2015 IEEE 20-24 September 2015, Florence, Italy Proceedings of 2015 International Conference on Interactive Collaborative Learning (ICL) Fig. 4. RC structure and boundary conditions (unit: mm). Fig. 6. Fractrue configurations from the virtual experiment: a) with single re-bar; b) with three re-bars; c) with six re-bars Figure 6. shows how the students can check the analysis results. The red colored surfaces and cells stand for fractured surfaces and damaged cell during the loading test. The students can check the state of virtual experiment even during analysis running by using real time updated output files from analysis program as like a real test. So, they can have hands on experience from this experiment. Therefore, they can learn from the simulation results what is the effects of re-bar distribution and why design code asks such a requirement. Fig. 5. RC beam mesh configuration: a) without re-bar; b) with single re-bar (case 1); c) with three re-bars (case 2); d) with six re-bars (case 3) At case 1, the diameter of a reinforcement is 22.52 mm and the number of reinforcement is one. At case 2, the diameter of a reinforcement is 13.00 mm and the number of reinforcement is three. At case 3, the diameter of a reinforcement is 9.19 mm and the number of reinforcement is six. Therefore, the total reinforcement area is same for all cases, having different number of re-bar. After geometry of specimen is determined, the user can make mesh configuration (figure 5.). Then, user uses this mesh information as input to analysis program. Also, the properties of specimen (Table I.) and boundary conditions (figure 4.) are set before running the program. IV. CONCLUSION In this study, we discussed the developing virtual laboratory platform to help the understanding of students who take RC design class. The RC beam test was conducted and the results are what we expected. If the re-bars are distributed, the damage also distributed wide manner. Therefore, students can understand the reason why design code required to make rebars distribution in RC beam. It is the first year of five year project for the ‘Virtual RC Structure Lab.’ development for civil engineering students. It will be implemented into a server which can be opened for students and public step by step. So, students can access from anywhere through the website and use the virtual experimental 978-1-4799-8706-1/15/$31.00 ©2015 IEEE 20-24 September 2015, Florence, Italy Proceedings of 2015 International Conference on Interactive Collaborative Learning (ICL) program at the end of 2015. So, they can experience and learn from the simulated behavior of their own designed RC beam intuitionally. The effects of this developed ‘Virtual RC Structure Lab.’ in terms of educational aspects could not provide this time because it is not open to students. In near future, we might provide a positive results for the assessment of the ‘Virtual RC Structure Lab.’ for engineering educational purpose. REFERENCES [1] [2] [3] [4] ACKNOWLEDGMENT This research was supported by the EDISON (Educationresearch Integration through Simulation On the Net) Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT & Future Planning (2014M3C1A6038855) [5] J. Bolander, and S. Saito, “Fracture analyses using spring networks with random geometry,” Engineering Fracture Mechanics, vol. 61, pp.569591, 1998. M. Yip, J. Mohle, and J. E. Bolander, “Automated modeling of threedimensional structural components using irregular lattices,” ComputerAided Civil and Infrastructure Engineering, vol. 20, pp. 393-407, 2005. K. Kim, J. Bolander, Y. M. Lim, “Failure simulation of RC structures under highly dynamic conditions using random lattice models,” Computer and Structures, vol. 125, pp. 127-136, 2013. K. Kim, “Development and Application of Nonlinear Interface Link Elements Within a Three-Dimensional Random Lattice Model,” Maters thesis, Yonsei University, South Korea, 2005. H. Lee, “Evaluation of structural performance and strengthening of corrosion deteriorated reinforced concrete members,” ph.D. thesis, Tokyo University, Japan, 1997. 978-1-4799-8706-1/15/$31.00 ©2015 IEEE 20-24 September 2015, Florence, Italy Proceedings of 2015 International Conference on Interactive Collaborative Learning (ICL)