Assessment of Soil Resilient Modulus Under Cyclic Loading Using Cyclic CBR Test Equipment
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Soil materials and road pavement construction materials are subjected to dynamic and repetitive loading of different intensity from vehicle traffic. To account for the cyclic nature of material loading and its non-linear behavior, the concept of the resilient modulus has been adopted. It is a fundamental property of unbound pavement materials, as it quantifies the stiffness of the material under repeated loading. Its real value depends on the actual material parameters—e.g., maximum dry density, moisture content, compaction method, and the number and magnitude of repeated loads—and on the state of stress of the actual pavement structure. The resilient modulus value is therefore not constant for a given material type but varies over a certain interval depending on the above-mentioned parameters and the actual test conditions. Therefore, the method of determining the resilient modulus must take into account all the above factors. The standard method for resilient modulus determination is the cyclic triaxial test, but the cyclic CBR test procedure is also used. It uses standard California Bearing Ratio (CBR) test equipment, and thus it is a very simple and very economical testing method. In the presented paper, the influence of loading force and number of loading cycles on the deformation characteristic and resilient modulus of the analyzed soil is investigated. A total of 72 soil specimens are tested at two different levels of loading force and six different numbers of loading cycles. The obtained results confirm that the resilience modulus increases with increasing loading force value and with increasing number of loading cycles. For the soil analyzed, the resilient modulus ranges in the interval 31-83 MPa.
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[1] Heinimann, E. H. R. (2021). Pavement engineering for forest roads: Development and opportunities. Croatian Journal of Forest Engineering, 42(1), 91–106. doi:10.5552/crojfe.2021.860.
[2] Ševelová, L., Florian, A., & Hrůza, P. (2020). Using Resilient Modulus to Determine the Subgrade Suitability for Forest Road Construction. Forests, 11(11), 1208. https://doi.org/10.3390/f11111208
[3] Ševelová, L., Arias, P. F., & Šlezingr, M. (2020). Influence of improving materials of forest roads on the surrounding environment. Polish Journal of Environmental Studies, 29(5), 3821–3830. doi:10.15244/pjoes/115272.
[4] Ministry of Transport of the Czech Republic. (2023). TP 170: Design of pavement structures. Prague, Czech Republic.
[5] Hauser, J., Ševelová, L., Matula, R., & Zedník, P. (2018). Optimization of low volume road pavement design and construction. Journal of Forest Science, 64(2), 74–85. doi:10.17221/109/2017-jfs.
[6] American Association of State Highway and Transportation Officials (AASHTO). (2008). Mechanistic–empirical pavement design guide (MEPDG). AASHTO, Washington, DC, USA.
[7] Czech Office for Standards, Metrology and Testing. (2004). ČSN EN ISO 13286-7: Unbound and hydraulically bound mixtures—Part 7: Cyclic load triaxial test for unbound mixtures. Prague, Czech Republic.
[8] Czech Office for Standards, Metrology and Testing. (2015). ČSN EN ISO 13286-47: Unbound and hydraulically bound mixtures—Part 47: Test method for the determination of California bearing ratio, immediate bearing index and linear swelling. Prague, Czech Republic.
[9] Rahim, A. M. (2005). Subgrade soil index properties to estimate resilient modulus for pavement design. International Journal of Pavement Engineering, 6(3), 163–169. doi:10.1080/10298430500140891.
[10] Nguyen, B. T., & Mohajerani, A. (2016). Resilient modulus of fine-grained soil and a simple testing and calculation method for determining an average resilient modulus value for pavement design. Transportation Geotechnics, 7, 59–70. doi:10.1016/j.trgeo.2016.05.001.
[11] Park, T., & Lovell, C. (1996). Using Pyrolized Carbon Black (PCB) from Waste Tires in Asphalt Pavement (Part 1, Limestone Aggregate). Purdue University. doi:10.5703/1288284313345.
[12] Molenaar, A.A.A. (2008). Repeated Load CBR Testing, a Simple but Effective Tool for the Characterization of Fine Soils and Unbound Materials; Delft University of Technology: Delft, The Netherlands.
[13] Sas, W., Głuchowski, A., & Miturski, M. (2017). Studies on resilient modulus value from cyclic loading tests for cohesive soil. Annals of Warsaw University of Life Sciences – SGGW. Land Reclamation, 49(2), 117–127. doi:10.1515/sggw-2017-0010.
[14] Głuchowski, A., Nagy, A. C., & Sas, W. (2025). Evaluation of Cyclic CBR Test for Soils Reinforced with Geosynthetics. Springer Proceedings in Materials, 93, 157–164. doi:10.1007/978-3-032-02849-5_16.
[15] Ševelová, L., Florian, A., & Žák, J. (2021). Influence of plunger stress on resilient modulus of forest subgrade soils obtained from cyclic CBR test. Forests, 12(11), 1456. doi:10.3390/f12111456.
[16] Florian, A., Ševelová, L., Žáková, K., & Žák, J. (2023). An Updated Cyclic CBR Test with Realistic Stress Values under the Plunger for Resilient Modulus Calculation. Forests, 14(12), 2425. doi:10.3390/f14122425.
[17] Rincón-Morantes, J. F., Alvarez, A. E., & Reyes-Ortiz, O. J. (2022). Estimación de la rigidez de materiales granulares marginales no ligados mediante ensayo CBR dinámico. Ingeniería y Desarrollo, 40(01), 92–113. doi:10.14482/inde.40.01.621.992.
[18] Bojacá Torres, D. C., & Campagnoli Martínez, S. X. (2022). CBR cíclico como método alternativo para la determinación del módulo resiliente en suelos blandos de subrasante. Ciencia e Ingeniería Neogranadina, 32(2), 85–98. doi:10.18359/rcin.5896.
[19] Abid, A. N., Salih, A. O., & Nawaf, E. A. (2017). The Influence of Fines Content on the Mechanical Properties of Aggregate Subbase Course Material for Highway Construction using Repeated Load CBR Test. Al-Nahrain Journal for Engineering Sciences, 20(3), 615-624.
[20] Mehrpazhouh, A., Moghadas Tafreshi, S. N., & Mirzababaei, M. (2019). Impact of repeated loading on mechanical response of a reinforced sand. Journal of Rock Mechanics and Geotechnical Engineering, 11(4), 804–814. doi:10.1016/j.jrmge.2018.12.013.
[21] Primusz, P., Kisfaludi, B., & Péterfalvi, J. (2023). Using Cyclic CBR Method to Determine Resilient Modulus of Hydraulic Binder Stabilised Road Pavement Base Layers. Croatian Journal of Forest Engineering, 45(1), 125–138. doi:10.5552/crojfe.2024.2214.
[22] Rahman, M. M., Gassman, S. L., & Islam, K. M. (2023). Effect of Moisture Content on Subgrade Soils Resilient Modulus for Predicting Pavement Rutting. Geosciences (Switzerland), 13(4), 103. doi:10.3390/geosciences13040103.
[23] Haghighi, H., Arulrajah, A., Mohammadinia, A., & Horpibulsuk, S. (2018). A new approach for determining resilient moduli of marginal pavement base materials using the staged repeated load CBR test method. Road Materials and Pavement Design, 19(8), 1848–1867. doi:10.1080/14680629.2017.1352532.
[24] Carlos, D. M., Macedo, J., & Pinho-Lopes, M. (2025). Natural Reinforcement of a Fine Soil for Unpaved Forest Roads—Cyclic CBR Tests. Lecture Notes in Civil Engineering, 408 LNCE, 155–164. doi:10.1007/978-981-97-8237-6_16.
[25] Salmi, A., Bousshine, L., & Lahlou, K. (2020). A new model of equivalent modulus derived from repeated load CBR test. International Journal of Engineering, Transactions A: Basics, 33(7), 1321–1330. doi:10.5829/ije.2020.33.07a.19.
[26] Arrazi, S., Nurtjahjaningtyas, I., & Wicaksono, L. A. (2025). The Effect of Cyclic Loading on Lime Stabilised Soil to CBR Values. Media Komunikasi Teknik Sipil, 31(1), 98–105. doi:10.14710/mkts.v31i1.71273.
[27] Narzary, B. K., & Narzary, J. (2025). Estimating Resilient Modulus of Fine-Grained Subgrade Soil from Repeated Load CBR Test. Transportation Infrastructure Geotechnology, 12(5). doi:10.1007/s40515-025-00587-8.
[28] Kaushik, S., Kumar, S., & Siddagangaiah, A. K. (2024). Experimental and numerical based model formulation for estimation of subgrade resilient modulus using the repeated load CBR test considering in situ state of stress. Transportation Geotechnics, 48. doi:10.1016/j.trgeo.2024.101331.
[29] Hao, S., & Pabst, T. (2021). Estimation of resilient behavior of crushed waste rocks using repeated load CBR tests. Transportation Geotechnics, 28. doi:10.1016/j.trgeo.2021.100525.
[30] Czech Office for Standards, Metrology and Testing. (2015). ČSN EN ISO 13286-2: Unbound and hydraulically bound mixtures—Part 2: Test methods for the determination of the laboratory reference density and water content—Proctor compaction. Prague, Czech Republic.
[31] Hauser, J., Kozumplikova, A., & Sevelova, L. (2013). The Influence of the Soil Treatment on CBR Test Values. Proceedings of the Int. Conf. on Ground Improvement and Ground Control: Transport Infrastructure Development and Natural Hazards Mitigation-ICGI 2012, 1623–1629. doi:10.3850/978-981-07-3560-9_09-0916.
[32] Czech Office for Standards, Metrology and Testing. (2015). ČSN EN ISO 17892-1: Geotechnical investigation and testing—Laboratory testing of soil—Part 1: Determination of water content. Prague, Czech Republic.
[33] Czech Office for Standards, Metrology and Testing. (2017). ČSN EN ISO 17892-4: Geotechnical investigation and testing—Laboratory testing of soil—Part 4: Determination of particle size distribution. Prague, Czech Republic.
[34] Czech Office for Standards, Metrology and Testing. (2018). ČSN EN ISO 17892-12: Geotechnical investigation and testing—Laboratory testing of soil—Part 12: Determination of the liquid and plastic limits. Prague, Czech Republic.
[35] Czech Office for Standards, Metrology and Testing. (2004). ČSN EN ISO 14689-1: Geotechnical investigation and testing—Identification and classification of rock—Part 1: Identification and description. Prague, Czech Republic.
[36] Czech Office for Standards, Metrology and Testing. (2005). ČSN EN ISO 14688-2: Geotechnical investigation and testing—Identification and classification of soil—Part 2: Principles for classification. Prague, Czech Republic.
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