12. Evidently, SFRC comprises a bigger number of components than NC including LISF, L/DISF, fiber type, diameter of ISF (DISF) and the tensile strength of ISFs. & Liu, J. Mater. The result of compressive strength for sample 3 was 105 Mpa, for sample 2 was 164 Mpa and for sample 1 was 320 Mpa. Mahesh, R. & Sathyan, D. Modelling the hardened properties of steel fiber reinforced concrete using ANN. Southern California Gler, K., zbeyaz, A., Gymen, S. & Gnaydn, O. An. As the simplest ML technique, MLR was implemented to predict the CS of SFRC and showed R2 of 0.888, RMSE of 6.301, and MAE of 5.317. 28(9), 04016068 (2016). Commercial production of concrete with ordinary . 41(3), 246255 (2010). 1 and 2. Properties of steel fiber reinforced fly ash concrete. 2018, 110 (2018). Sci Rep 13, 3646 (2023). 11(4), 1687814019842423 (2019). Moreover, CNN and XGB's prediction produced two more outliers than SVR, RF, and MLR's residual errors (zero outliers). MATH Mater. Concr. In LOOCV, the number of folds is equal the number of instances in the dataset (n=176). Table 4 indicates the performance of ML models by various evaluation metrics. Jang, Y., Ahn, Y. According to the results obtained from parametric analysis, among the developed models, SVR can accurately predict the impact of W/C ratio, SP, and fly-ash on the CS of SFRC, followed by CNN. Cite this article. 115, 379388 (2019). According to section 19.2.1.3 of ACI 318-19 the specified compressive strength shall be based on the 28-day test results unless otherwise specified in the construction documents. Scientific Reports Compos. ADS It's hard to think of a single factor that adds to the strength of concrete. Eventually, 63 mixes were omitted and 176 mixes were selected for training the models in predicting the CS of SFRC. Appl. 2, it is obvious that the CS increased with increasing the SP (R=0.792) followed by fly ash (R=0.688) and C (R=0.501). Mater. Mahesh et al.19 used ML algorithms on a 140-raw dataset considering 8 different features (LISF, VISF, and L/DISF as the fiber properties) and concluded that the artificial neural network (ANN) had the best performance in predicting the CS of SFRC with a regression coefficient of 0.97. Correlating Compressive and Flexural Strength By Concrete Construction Staff Q. I've heard about an equation that allows you to get a fairly decent prediction of concrete flexural strength based on compressive strength. 45(4), 609622 (2012). 33(3), 04019018 (2019). Zhu et al.13 noticed a linearly increase of CS by increasing VISF from 0 to 2.0%. Constr. Date:10/1/2022, Publication:Special Publication Jamshidi Avanaki, M., Abedi, M., Hoseini, A. Flexural strength, also known as modulus of rupture, bend strength, or fracture strength, a mechanical parameter for brittle material, is defined as a materi. Li, Y. et al. Mater. Therefore, the data needs to be normalized to avoid the dominance effect caused by magnitude differences among input parameters34. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. Caution should always be exercised when using general correlations such as these for design work. It was observed that ANN (with R2=0.896, RMSE=6.056, MAE=4.383) performed better than MLR, KNN, and tree-based models (except XGB) in predicting the CS of SFRC, but its accuracy was lower than the SVR and XGB (in both validation and test sets) techniques. The overall compressive strength and flexural strength of SAP concrete decreased by 40% and 45% in SAP 23%, respectively. Azimi-Pour, M., Eskandari-Naddaf, H. & Pakzad, A. Adv. For the prediction of CS behavior of NC, Kabirvu et al.5 implemented SVR, and observed that SVR showed high accuracy (with R2=0.97). Based on this, CNN had the closest distribution to the normal distribution and produced the best results for predicting the CS of SFRC, followed by SVR and RF. Google Scholar. 118 (2021). Ati, C. D. & Karahan, O. Finally, the model is created by assigning the new data points to the category with the most neighbors. 38800 Country Club Dr. : New insights from statistical analysis and machine learning methods. This indicates that the CS of SFRC cannot be predicted by only the amount of ISF in the mix. To perform the parametric analysis to analyze the influence of one specific parameter (for example, W/C ratio) on the predicted CS of SFRC, the actual values of that parameter (W/C ratio) were considered, while the mean values for all the other input parameters values were introduced. Similar equations can used to allow for angular crushed rock aggregates or rounded marine aggregates as shown below. Civ. However, there are certain commonalities: Types of cement that may be used Cement quantity, quality, and brand Based on the results obtained from the implementation of SVR in predicting the CS of SFRC and outcomes from previous studies in using the SVR to predict the CS of NC and SFRC, it was concluded that in some research, SVR demonstrated acceptable performance. However, the understanding of ISFs influence on the compressive strength (CS) behavior of concrete is still questioned by the scientific society. S.S.P. This is a result of the use of the linear relationship in equation 3.1 of BS EN 1996-1-1 and was taken into account in the UK calibration. & Farasatpour, M. Steel fiber reinforced concrete: A review (2011). Phone: +971.4.516.3208 & 3209, ACI Resource Center Also, it was concluded that the W/C ratio and silica fume content had the most impact on the CS of SFRC. Constr. Eng. A calculator tool is included in the CivilWeb Flexural Strength of Concrete suite of spreadsheets with this equation converted to metric units. The flexural strength is the higher of: f ctm,fl = (1.6 - h/1000)f ctm (6) or, f ctm,fl = f ctm where; h is the total member depth in mm Strength development of tensile strength In contrast, others reported that SVR showed weak performance in predicting the CS of concrete. A more useful correlations equation for the compressive and flexural strength of concrete is shown below. MathSciNet It uses two commonly used general correlations to convert concrete compressive and flexural strength. 175, 562569 (2018). 3) was used to validate the data and adjust the hyperparameters. Compressive strength of steel fiber-reinforced concrete employing supervised machine learning techniques. 34(13), 14261441 (2020). Depending on the mix (especially the water-cement ratio) and time and quality of the curing, compressive strength of concrete can be obtained up to 14,000 psi or more. Today Commun. consequently, the maxmin normalization method is adopted to reshape all datasets to a range from \(0\) to \(1\) using Eq. The minimum 28-day characteristic compressive strength and flexural strength for low-volume roads are 30 MPa and 3.8 MPa, respectively. Mech. The simplest and most commonly applied method of quality control for concrete pavements is to test compressive strength and then use this as an indirect measure of the flexural strength. Date:11/1/2022, Publication:IJCSM In other words, the predicted CS decreases as the W/C ratio increases. Eng. Constr. More specifically, numerous studies have been conducted to predict the properties of concrete1,2,3,4,5,6,7. Constr. PubMed Article Privacy Policy | Terms of Use Al-Abdaly, N. M., Al-Taai, S. R., Imran, H. & Ibrahim, M. Development of prediction model of steel fiber-reinforced concrete compressive strength using random forest algorithm combined with hyperparameter tuning and k-fold cross-validation. & Liew, K. Data-driven machine learning approach for exploring and assessing mechanical properties of carbon nanotube-reinforced cement composites. Distributions of errors in MPa (Actual CSPredicted CS) for several methods. Constr. Therefore, based on expert opinion and primary sensitivity analysis, two features (length and tensile strength of ISF) were omitted and only nine features were left for training the models. However, the addition of ISF into the concrete and producing the SFRC may also provide additional strength capacity or act as the primary reinforcement in structural elements. Also, a specific type of cross-validation (CV) algorithm named LOOCV (Fig. Recommended empirical relationships between flexural strength and compressive strength of plain concrete. The flexural loaddeflection responses, shown in Fig. Build. In contrast, the splitting tensile strength was decreased by only 26%, as illustrated in Figure 3C. Machine learning-based compressive strength modelling of concrete incorporating waste marble powder. In other words, in CS prediction of SFRC, all the mixes components must be presented (such as the developed ML algorithms in the current study). However, regarding the Tstat, the outcomes show that CNN performance was approximately 58% lower than XGB. Step 1: Estimate the "s" using s = 9 percent of the flexural strength; or, call several ready mix operators to determine the value. 6) has been increasingly used to predict the CS of concrete34,46,47,48,49. To obtain \(R\) shows the direction and strength of a two-variable relationship. Date:9/30/2022, Publication:Materials Journal The linear relationship between compressive strength and flexural strength can be better expressed by the cubic curve model, and the correlation coefficient was 0.842. The test jig used in this video has a scale on the receiver, and the distance between the external fulcrums (distance between the two outer fulcrums . Mater. Supersedes April 19, 2022. Infrastructure Research Institute | Infrastructure Research Institute Eventually, among all developed ML algorithms, CNN (with R2=0.928, RMSE=5.043, MAE=3.833) demonstrated superior performance in predicting the CS of SFRC. Dubai, UAE Zhu, H., Li, C., Gao, D., Yang, L. & Cheng, S. Study on mechanical properties and strength relation between cube and cylinder specimens of steel fiber reinforced concrete. Comparison of various machine learning algorithms used for compressive strength prediction of steel fiber-reinforced concrete, $$R_{XY} = \frac{{COV_{XY} }}{{\sigma_{X} \sigma_{Y} }}$$, $$x_{norm} = \frac{{x - x_{\min } }}{{x_{\max } - x_{\min } }}$$, $$\hat{y} = \alpha_{0} + \alpha_{1} x_{1} + \alpha_{2} x_{2} + \cdots + \alpha_{n} x_{n}$$, \(y = \left\langle {\alpha ,x} \right\rangle + \beta\), $$net_{j} = \sum\limits_{i = 1}^{n} {w_{ij} } x_{i} + b$$, https://doi.org/10.1038/s41598-023-30606-y. The flexural strength of UD, CP, and AP laminates was increased by 39-53%, 51-57%, and 25-37% with the addition of 0.1-0.2% MWCNTs. Development of deep neural network model to predict the compressive strength of rubber concrete. Build. The capabilities of ML algorithms were demonstrated through a sensitivity analysis and parametric analysis. Leone, M., Centonze, G., Colonna, D., Micelli, F. & Aiello, M. Fiber-reinforced concrete with low content of recycled steel fiber: Shear behaviour. Build. The compressive strength of the ordinary Portland cement / Pulverized Bentonitic Clay (PBC) generally decreases as the percentage of Pulverized Bentonitic Clay (PBC) content increases. American Concrete Pavement Association, its Officers, Board of Directors and Staff are absolved of any responsibility for any decisions made as a result of your use. Founded in 1904 and headquartered in Farmington Hills, Michigan, USA, the American Concrete Institute is a leading authority and resource worldwide for the development, dissemination, and adoption of its consensus-based standards, technical resources, educational programs, and proven expertise for individuals and organizations involved in concrete design, construction, and materials, who share a commitment to pursuing the best use of concrete. Materials 15(12), 4209 (2022). Invalid Email Address However, it is suggested that ANN can be utilized to predict the CS of SFRC. The value for s then becomes: s = 0.09 (550) s = 49.5 psi Explain mathematic . Leone, M., Centonze, G., Colonna, D., Micelli, F. & Aiello, M. A. the input values are weighted and summed using Eq. Table 3 shows the results of using a grid and a random search to tune the other hyperparameters. Struct. 301, 124081 (2021). A convolution-based deep learning approach for estimating compressive strength of fiber reinforced concrete at elevated temperatures. As with any general correlations this should be used with caution. Based on the developed models to predict the CS of SFRC (Fig. So, more complex ML models such as KNN, SVR tree-based models, ANN, and CNN were proposed and implemented to study the CS of SFRC. Hence, After each model training session, hold-out sample generalization may be poor, which reduces the R2 on the validation set 6. 27, 102278 (2021). Google Scholar. Fax: 1.248.848.3701, ACI Middle East Regional Office Limit the search results with the specified tags. In the current research, tree-based models (GB, XGB, RF, and AdaBoost) were used to predict the CS of SFRC. A parametric analysis was carried out to determine how well the developed ML algorithms can predict the effect of various input parameters on the CS behavior of SFRC. Compressive Strength to Flexural Strength Conversion, Grading of Aggregates in Concrete Analysis, Compressive Strength of Concrete Calculator, Modulus of Elasticity of Concrete Formula Calculator, Rigid Pavement Design xls Suite - Full Suite of Concrete Pavement Design Spreadsheets. Convert. Please enter this 5 digit unlock code on the web page. Modulus of rupture is the behaviour of a material under direct tension. Meanwhile, AdaBoost predicted the CS of SFRC with a broader range of errors. Flexural strength is measured by using concrete beams. Moreover, GB is an AdaBoost development model, a meta-estimator that consists of many sequential decision trees that uses a step-by-step method to build an additive model6. Sci. 11, and the correlation between input parameters and the CS of SFRC shown in Figs. Constr. This algorithm first calculates K neighbors euclidean distance. Geopolymer recycled aggregate concrete (GPRAC) is a new type of green material with broad application prospects by replacing ordinary Portland cement with geopolymer and natural aggregates with recycled aggregates. 267, 113917 (2021). B Eng. Mater. de-Prado-Gil, J., Palencia, C., Silva-Monteiro, N. & Martnez-Garca, R. To predict the compressive strength of self compacting concrete with recycled aggregates utilizing ensemble machine learning models. Constr. Moreover, Nguyen-Sy et al.56 and Rathakrishnan et al.57, after implementing the XGB, noted that the XGB was the best model for predicting the CS of NC. MAPE is a scale-independent measure that is used to evaluate the accuracy of algorithms. 7). The flexural strength of concrete was found to be 8 to 11% of the compressive strength of concrete of higher strength concrete of the order of 25 MPa (250 kg/cm2) and 9 to 12.8% for concrete of strength less than 25 MPa (250 kg/cm2) see Table 13.1: Comparing ML models with regard to MAE and MAPE, it is seen that CNN performs superior in predicting the CS of SFRC, followed by GB and XGB. Google Scholar. This method converts the compressive strength to the Mean Axial Tensile Strength, then converts this to flexural strength and includes an adjustment for the depth of the slab. Al-Abdaly et al.50 also reported that RF (R2=0.88, RMSE=5.66, MAE=3.8) performed better than MLR (R2=0.64, RMSE=8.68, MAE=5.66) in predicting the CS of SFRC. & LeCun, Y. A., Hall, A., Pilon, L., Gupta, P. & Sant, G. Can the compressive strength of concrete be estimated from knowledge of the mixture proportions? Among different ML algorithms, convolutional neural network (CNN) with R2=0.928, RMSE=5.043, and MAE=3.833 shows higher accuracy. To generate fiber-reinforced concrete (FRC), used fibers are typically short, discontinuous, and randomly dispersed throughout the concrete matrix8. Recently, ML algorithms have been widely used to predict the CS of concrete. Polymers 14(15), 3065 (2022). This is particularly common in the design and specification of concrete pavements where flexural strengths are critical while compressive strengths are often specified. Among these parameters, W/C ratio was commonly found to be the most significant parameter impacting the CS of SFRC (as the W/C ratio increases, the CS of SFRC will be increased). This study modeled and predicted the CS of SFRC using several ML algorithms such as MLR, tree-based models, SVR, KNN, ANN, and CNN. Eur. Accordingly, 176 sets of data are collected from different journals and conference papers. All these results are consistent with the outcomes from sensitivity analysis, which is presented in Fig. However, it is worth noting that their performance in predicting the CS of SFRC was superior to that of KNN and MLR. The value of flexural strength is given by . Date:1/1/2023, Publication:Materials Journal Artif. ISSN 2045-2322 (online). Answer (1 of 5): For design of the beams we need flexuralstrength which is obtained from the characteristic strength by the formula Fcr=0.7FckFcr=0.7Fck Fck - is the characteristic strength Characteristic strength is found by applying compressive stress on concrete cubes after 28 days of cur. If there is a lower fluctuation in the residual error and the residual errors fluctuate around zero, the model will perform better. c - specified compressive strength of concrete [psi]. 1.2 The values in SI units are to be regarded as the standard. Tensile strength - UHPC has a tensile strength over 1,200 psi, while traditional concrete typically measures between 300 and 700 psi. Also, the CS of SFRC was considered as the only output parameter. Compared to the previous ML algorithms (MLR and KNN), SVRs performance was better (R2=0.918, RMSE=5.397, MAE=4.559). 10l, a modification of fc geometric size slightly affects the rubber concrete compressive strength within the range [28.62; 26.73] MPa. It tests the ability of unreinforced concrete beam or slab to withstand failure in bending. MLR predicts the value of the dependent variable (\(y\)) based on the value of the independent variable (\(x\)) by establishing the linear relationship between inputs (independent parameters) and output (dependent parameter) based on Eq. 49, 20812089 (2022). Eng. Also, the characteristics of ISF (VISF, L/DISF) have a minor effect on the CS of SFRC. A 9(11), 15141523 (2008). Article The reviewed contents include compressive strength, elastic modulus . Google Scholar. Mechanical and fracture properties of concrete reinforced with recycled and industrial steel fibers using Digital Image Correlation technique and X-ray micro computed tomography. Song, H. et al. As can be seen in Fig. The flexural properties and fracture performance of UHPC at low-temperature environment ( T = 20, 30, 60, 90, 120, and 160 C) were experimentally investigated in this paper. The flexural strength of a material is defined as its ability to resist deformation under load. The presented paper aims to use machine learning (ML) and deep learning (DL) algorithms to predict the CS of steel fiber reinforced concrete (SFRC) incorporating hooked ISF based on the data collected from the open literature. In fact, SVR tries to determine the best fit line. J. Adhes. Technol. Note that for some low strength units the characteristic compressive strength of the masonry can be slightly higher than the unit strength. Limit the search results from the specified source. fck = Characteristic Concrete Compressive Strength (Cylinder). ACI World Headquarters Review of Materials used in Construction & Maintenance Projects. 3- or 7-day test results are used to monitor early strength gain, especially when high early-strength concrete is used.
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