Typical elastic modulus values of predominately granular materials are shown in Table 3. The behavior of the soil improved by jet-grouting is still not well understood. Analysis of beams an elastic foundation. E mi. AASHTO. Laboratory tests that may be used to estimate the soil modulus are the triaxial unconsolidated … Learn more. Helwany, B., and Shih, S. 1998. National Cooperative Highway Research Program Transportation Research Board National Research Council, Illinois 61820. 2(1): 34-40, Elsa Eka Putri, N. S.V Kameswara Rao, M. A. Mannan, Civil Engineering, Universiti Malaysia Sabah, Kota Kinabalu, Sabah, 88999, Malaysia. MATHEMATICAL MODEL TO PREDICT COMPRESSION INDEX OF UNIFORM LOOSE SAND IN COAS... No public clipboards found for this slide. The elastic modulus is found through the shear modulus G and the bulk modulus K: Numerically, the elastic modulus is equal to the voltage that caused the relative deformation equal to unity. Liu, C., and Evett, J.B. 2005. The introduction of this simplifying assumption is possible to use the theory of elasticity for detecting of stress-strain state in soils. Using Equation (8), the value of k s is 116535.52 kN/m 3. Mc Graw-Hill, Book Company Inc, New York, US. Notation and Units. 105, No. Missing captcha code. TO Mail: samirddu@gmail.com INTRODUCTION TO SOIL MODULI 1 2. Jones, G., 1997. NCHRP. Correspondence to: Elsa Eka Putri, Civil Engineering, Universiti Malaysia Sabah, Kota Kinabalu, Sabah, 88999, Malaysia. Factors controlling stress strain behaviour of soil. 2007. Furthermore, the correlation between E and CBR is proposed. 71-89. Read 3 answers by scientists to the question asked by Hosein Poursaei on Feb 12, 2020 Copyright © 2011 Scientific & Academic Publishing Co. All rights reserved. 1, pp. The three basic theories which are relevant to soil behaviour are: elasticity, plasticity and creep. SOIL MODULI Thus CBR test is expected to simplify the effort in determination of the modulus of subgrade reaction which is used in Foundation design, soil structure interaction, design of highway formations etc. Its magnitude characterizes the rigidity of the soil, i.e., their ability to resiliently resist linear stretching or … https://doi.org/10.1016/j.engstruct.2019.109452. Unfortunately, none of the existing methods can reduce the derived Eeq value from an initial ν value to ν = 0. modulus of elasticity (it also appears with various subscripts or accent, denoting layer and/or direction) E eq. Table 3: Typical elastic modulus values for granular s oil (modified after Sabatini, 2002) . Secant Modulus of Soil Es. Both titles of this modulus Es has the same meaning. Poulos, H. G. et. Copyright © 2020 Elsevier B.V. or its licensors or contributors. In a Winkler type of analysis, the proper elastic modulus is the one corresponding to Poisson’s ratio, ν, equal to zero. Soil Mechanics, Geotechnical Engineering. 34-40. doi: 10.5923/j.jce.20120201.05. As of this date, Scribd will manage your SlideShare account and any content you may have on SlideShare, and Scribd's General Terms of Use and Privacy Policy will apply. In addition, none of the existing methods cover the very common case of soils with modulus of elasticity linearly varying with depth. ScienceDirect ® is a registered trademark of Elsevier B.V. ScienceDirect ® is a registered trademark of Elsevier B.V. Now customize the name of a clipboard to store your clips. Factors influencing the modulus and related to the state of the soil 3. A. S. R. Rao: Basic and Applied Soil Mechanics. Modulus of elasticity of soil E is obtained from the deviator stress-axial strain curve. Foundations of theoretical soil mechanics. See our Privacy Policy and User Agreement for details. The design and performance of road pavements. a tangent modulus E' tan = ds' / de. There are defined several types of modules - tangent modulus of soil, secant modulus of soil, and initial tangent modulus. We were unable send the link to your email. Timoshenko, S., and Goodier, J.N. Dynamic soil tests and applications. Professor, DD University, Nadiad, India. In the literature, it appears double marking of soil modulus Es. The compaction modulus criterion to be achieved in the field is established through lab tests. Modulus is defined 2. Please check your email. Gopal Ranjan et. Soil modulus of elasticity 1. The correlation of Modulus of Elasticity (E) with California Bearing Ratio (CBR) is developed based on the elastic properties of the soil sample. Thompson, M.R., and Robnett, Q.L. or by a secant modulus E' sec = Ds' / De. 1.1 This test method covers the measurement by electro-mechanical means of the in-place stiffness of soil or soil-aggregate mixtures so as to determine a Young's modulus based on certain assumptions. Whitman, V. R.: Soil Mechanics. 2009. Young's soil modulus, E s, may be estimated from empirical correlations, laboratory test results on undisturbed specimens and results of field tests. Hetenyi, M. 1946. Factors related to the loading process 4. McGraw-Hill, New York, NY. Davis, E. H.: Pile Foundations Analysis and Design. Suitability of using California Bearing Ratio to predict resilient modulus, presented on FAA Airport Technology Transfer Conference 05/2002. We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. A. H. Wheeler & Co. Ltd, New Delhi, First Edition. Harr, M. E. 1966. None of the existing methods refer to the case of linearly varying modulus with depth. (2017) and Sadrekarimi and Akbarzad (2009) were found to perform best among all with the maximum relative error for the cases examined herein being in the order of 20% for Gorbunov-Possadov and Malikova’s method and 40% for the other two. Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. More Properties. The main finding of the present paper is that, the vast majority of the existing methods return Eeq values that greatly differ from the value effectively representing the original multilayer medium. There are three means of obtaining this parameter: The typical range of values for the static stress-strain (secant) modulus Es for selected soils - field values depend on stress history, water content, density (Gopal Ranjan et. The three basic theories which are relevant to soil behaviour are: elasticity, plasticity and viscus flow (often refered to as creep). Mail: samirddu@gmail.com INTRODUCTION TO SOIL MODULI 1 2. Prof. Samir P Parmar Asst. All Rights Reserved. New York: John Wiley and Sons, 1969, 576 p. ISBN: 978-0-471-51192-2. McGraw-Hill, New York. The modulus of elasticity or Young's modulus of a soil is an elastic soil parameter most commonly used in the estimation of settlement from static loads. Copyright © 2012 Scientific & Academic Publishing. Secant modulus of soil Es is defined as the ratio of the difference in deviator of normal stress to the corresponding axial strain of soil according to the following equation: Lambe et. New York: John Wiley and Sons, 1980, chapter 5.5, pp. The Poisson’s ratio is either ignored or considered in an absolutely erroneous manner. Carpenter,W.A., Ozyildirim, H. C and Vaswani, N. K. 1975. 2003. Thus the value of k s for every size, shape and rigidity of plate can be computed knowing the value of E of the soil, which can be obtained from the CBR using equation (8). Theory of Elasticity. Journal of Transportation Engineering, ASCE, Vol. Guidelines for pavement design, Virginia DoT-Materials Division Pavement Design And Evaluation Section, Revised – May 2003. Overview of presentation 1. per cubic inch (or more specifically lbs per square inch per inch of deflection). Effective parameters on modulus of subgrade reaction in clayey soils. 1997. Davis (1980) this parameter is referred to as the modulus elasticity of soil (Young's modulus), while Briaud (2001) and Gopal Ranjan (2000) named this parameter as the secant modulus of soil. However, the soil behaves elastically only in the field of small strains (generally it is a heterogeneous material), and thus is more appropriate to speak rather about the secant modulus of soil Es. Factors influencing the modulus and related to the state of the soil 3. Lambe, T. W. et. Indeed, the vast majority of the existing methods ignores the Poisson’s ratio, whilst the rest of them suggest expressions carrying all the major disadvantages related to the derivation of Eeq. The undrained modulus, Eu is obtained from the undrained triaxial test data while the drained modulus Ed is obtained from the drained test conditions. Minnesota Department of Transport, Chapter 3. the equivalent modulus of elasticity of the composite underlayer (e.g. Davis (1980) this parameter is referred to as the modulus elasticity of soil (Young's modulus), while Briaud (2001) and Gopal Ranjan (2000) named this parameter as the secant modulus of soil.Both titles of this modulus E s has the same meaning. 1979. 1962. Croney, D, & Croney, P. (1991). The current methods caclulating Eeq may easily lead to non-economic or unsafe designs. Determining elastic moduli of materials in pavement systems by surface deflection data, a feasibility study. Thus, the use of the current methods may easily lead to either non-economic or unsafe designs. Typical Soil Elastic Modulus (Young's Modulus) Values. Pavement analysis and design. The undrained elastic modulus is denoted by E u and will be acquired from the Undrained Triaxial test data, while the drained modulus E d is obtained from the drained test condition. J. If you continue browsing the site, you agree to the use of cookies on this website. Regarding the modulus of subgrade reaction, the author recommends the use of Vesic’s (1961) formula but in combination with the proper equivalent elastic constants. 2000. Geotechnical News, June 2001, BiTech Publishers Ltd, Richmond, B.C., Canada. Pavement design and materials, John Wiley & Sons Inc. Powell, W.D., Potter, J.F., Mayhew, H.C., and Nunn, M.E. According to Poulos et. Prof. Samir P Parmar The pressure-displacement response of the soil in the CBR mould is simulated using Cosmosworks FEM model where the soil, the load plunger, and the steel mould of CBR are represented. Barkan, D.D. Mail: samirddu@gmail.com This paper presents the procedure of evaluation of the modulus of elasticity (E) and the modulus of subgrade reaction (ks) value based on the California Bearing Ratio (CBR) tests and FEM analysis. Beams on elastic foundation. New Age International, 2000, chapter 10.11, pp. Bowles, J.E. The equivalent modulus of elasticity of layered soil mediums for designing shallow foundations with the Winkler spring hypothesis: A critical review. Modulus is defined 2. Factors related to the loading process 4. The structural design of bituminous roads. 5. We've not used Modulus of Elasticity, but rather the Subgrade Soil Modulus, K30. This paper offers a comprehensive review of the available methods calculating the equivalent elastic constants (Eeq, νeq) for the case of transversely loaded horizontally stratified soil mediums. Huang, Y. H. 1993. Dynamics of bases and foundations. Soil Young's modulus (E), commonly reffred to as soil elastic modulus, is an elastic soil parameter and a measure of soil stiffness. Distribution of idealized stress-strain curve and determination of individual types of soil modules. Modified Proctor or standard Proctor tests are performed and the optimum moisture content as well as the maximum dry density is determined from the compaction curves. Papagiannakis, A. T., and Masad, E. A. Method of test for soils for civil engineering purposes. Virginia Highway & Transportation Research Council. Applied Sci., 9: 4006-4012. (2nd edition) Mc Graw-Hill Book Company. It is defined as the ratio of the stress along an axis over the strain along that axis in the range of elastic soil behaviour. The subgrade modulus is a lumped constant of integration of the differential equation of a beam supported by elastic springs. the equivalent modulus of elasticity of the stratified soil medium under the foundation. Soil modulus of elasticity 1. Odemark, N. 1949. At the initial stage of the stress-strain curve is nearly linear dependence, but the elastic strain of soils is very small, due to the overall value of the strain.