plasticity index vs friction angle

These tests are mainly used on clayey or silty soils since these are the soils which expand and shrink when the moisture content varies. Please let us know here why this post is inappropriate. Conceptually, there is no such thing as the undrained strength of a soil. CL clay of low plasticity, lean clay 20 27 CH clay of high plasticity, fat clay 25 22 OL organic silt, organic clay 10 25 The results obtained were used to determine the values of the true and base friction angles. It can be seen that for a Plasticity Index of 50, which is true for Young Bay Mud, =0.8. The indirect tensile strength is calculated as follows (Fairhurst (1964)): \[\ \sigma_{\mathrm{T}}=\frac{2 \cdot \mathrm{F}}{\pi \cdot \mathrm{L} \cdot \mathrm{D}}\tag{2-30}\]. 1996 among others). In the stress plane of Shear stress-effective normal stress, the soil friction angle is the angle of inclination with respect to the horizontal axis of the Mohr-Coulomb shear resistance line. By the way i have got the Lab redoing the testing doing single stage triaxials not multi as before. You can check this vs your lab testing. The magnitude of strength degradation is controlled primarily by soil suction and the angle of internal friction ' of the soil. Examine how the principles of DfAM upend many of the long-standing rules around manufacturability - allowing engineers and designers to place a parts function at the center of their design considerations. Journal of Soil Mechanics and Foundations Div., 92(SM4), Retrieved from. 18. J. Civ. perfectly hexagonal deviatoric section. Penetration Test. Based on the SPT data an empirical correlation has been established between standard penetration number N and internal friction angle to predict the friction angle of soils. Soils Found. 427 0 obj <> endobj Wiley, London. Geotechnical characteristics of a soil related to its water content, "Brief history of Swedish Soil Mechanics", "ASTM D4318 - 10 Standard Test Methods for Liquid Limit, Plastic Limit, and Plasticity Index of Soils", "Fundamental Aspects of the Atterberg Limits", "The effect of surface roughness and shear rate during fall-cone calibration", "Atterberg Limits Soil Classification - Liquid Limit, Plastic Limit, Shrinkage", FUNDAMENTAL ASPECTS OF THE ATTERBERG LIMITS, https://en.wikipedia.org/w/index.php?title=Atterberg_limits&oldid=1122433066, Creative Commons Attribution-ShareAlike License 3.0. Thanks, BigH for the TPMFigure 19.7. Constant friction and changing dilation angle. During undrained shear, if the particles are surrounded by a nearly incompressible fluid such as water, then the density of the particles cannot change without drainage, but the water pressure and effective stress will change. Reverse engineering is your friend. 19.7 from TPM (hopefully with no ill feelings of Wiley) to show the relationship of phi' vs Plasticity index - but note that while there is a trend line shown there is wide scatter - for instance, soft clays with PI of 30 are shown to have phi' of between about 25 and 35. In these advanced analysis methods, soil models other than Tresca may be used to model the undrained condition including Mohr-Coulomb and critical state soil models such as the modified Cam-clay model, provided Poisson's ratio is maintained at 0.5. 0000000016 00000 n As Big H hints at, with clays, the variability in the actual value of phi' is minor compared to making sure the right strength "paradigm" is being considered. Weight loss measurements tested the . Cohesion(in Latin cohaerere "stick or stay together") orcohesive attractionorcohesive forceis the action or property of like molecules sticking together, being mutually attractive. 2014-02-02T14:12:41+01:00 The inorganic soil ML and MH and the organic soils OL, OH plot in the same zones of the plasticity chart. FRICTION ANGLE OF SOIL AND ROCK . Soil at the liquid limit will have a consistency index of 0, while soil at the plastic limit will have a consistency index of 1 and if W > LL, Ic is negative. That means soil is in the liquid state. In each state, the consistency and behavior of soil are different, and consequently so are its engineering properties. trailer xb```b``i``a`af@ a+s|TUPozTc]]WIlPIQreHXDP%Cb6J>t9NQj 185 11 Guy i want to now how i can get the soil properties from Atterberg Limits. Although this scale was established in the early of the 19thcentury it appeared that the increment of Mohs scale corresponded with a 60% increase in indentation hardness. 24(2), 111 (2005), Salari, P., Lashkaripour, G.R., Ghafoori, M.: Presentation of empirical equations for estimating internal friction angle of GW and GC soils in Mashhad, Iran using standard penetration and direct shear tests and comparison with previous equations. 0000007141 00000 n 54Fa!B^9zxkKr:S\ADU|A4q-Y[ht;`&+FfD RA_Zj2)y'_5Sh|&Zfn, That's the correlation. This is a preview of subscription content, access via your institution. Am. Adhesion is the tendency of dissimilar particles and/or surfaces to cling to one another (cohesion refers to the tendency of similar or identical particles/surfaces to cling to one another). endobj 5F0yyi1yjoOq`mf3K-9}s/Hze &i:bWmMhB `B&`d As the friction coefficient increases the initial plastic zone moves closer to the surface and unconstrained plastic flow occurs at a lower normal pressure. Linear regression model gives simple equation with greater accu-racy. 0000001683 00000 n Find a library where document is available. The intermolecular forces responsible for the function of various kinds of stickers and sticky tape fall into the categories of chemical adhesion, dispersive adhesion, and diffusive adhesion. BTSprovides a measure of rock toughness, as well as strength. This is very important assessment in mechanical excavation by tunnel boring machines. Cohesion is the force that holds together molecules or like particles within a soil. For undrained, constant volume shearing, the Tresca theory may be used to predict the shear strength, but for drained conditions, the MohrCoulomb theory may be used. A high value of PI indicates an excess of clay in the soil and that results in greater plasticity of that soil. endobj Except the force needed, the deformation is measured too. xKk@=Jw#H$46.=BHCuU]YqHhLaV3][,Ww7{mfap6)HXS!m>q9]%( ~+~CM&>6/{c! You beat me to it. In reality, soil is partially drained, somewhere between the perfectly undrained and drained idealized conditions. Plasticity index vs soil friction angle excel file Plasticity index vs soil friction angle excel file Open navigation menu Close suggestionsSearchSearch enChange Language close menu Language English(selected) Espaol 3(3), 545556 (2013), Mujtaba, H., Farooq, K., Sivakugan, N., Das, B.M. . Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. Find the minimum angle [latex]\theta[/latex] for which the pencil does not slip. In situ water content and fines content observed plays an important role in case of c- soil, hence plasticity index (PI) and fines content (p) are also included in model equation in case of c- soil. 0 An example of this is rapid loading of sands during an earthquake, or the failure of a clay slope during heavy rain, and applies to most failures that occur during construction. Adhesion (External Shear Strength), 2.4.8. (2005) is extended herein to include an effective normal . [9], The activity of a soil is the ratio of plasticity index to the clay size fraction. Cohesive soil of low plasticity can beusedin rein forced earth providing that bar -mesh reinforcement is used. 0000001061 00000 n In bedded/foliated rocks, particular attention needs to be given to loading direction with respect to bedding/foliation. The predicted results obtained from developed model equation appears to be in good agreement with existing equations in various literature. regression model is used for correlation between angle of internal friction and SPT (N) value by involving the parameters plasticity index and percentage finer. The water content at which soil changes from one state to the other is known as consistency limits, or Atterberg's limit. The sample can then be remolded and the test repeated. Table of Ultimate Friction Factors for Dissimilar Materials | Influence of Friction between Soil and back of the Structure | GEO5 | Online Help Online Help Table of Ultimate Friction Factors for Dissimilar Materials Values of the angle for different interfaces (according to the NAVFAC standards) Try GEO5 software for free. Order URL. Lab triaxial data needs to be very carefully appraised. xref In various numerical modeling software manuals, various ranges of these . %%EOF : Overburden correction factors for SPT in sand. Civ. . There are also correlations for UCS with shear strength as estimated fromthe field using Vane Shear Tests. Metal 3D printing has rapidly emerged as a key technology in modern design and manufacturing, so its critical educational institutions include it in their curricula to avoid leaving students at a disadvantage as they enter the workforce. <> ; "p! cU2V'H};jmL[@ H&AS (d}Hiq$>v-u!1w {wL;}\u,Zk h- 2kZySS`#~Im$%lsXJXD/KO 67oPVU LSRT\7jHQXfO:%llLkHn{ lQ87jGij5hGo?vnPV]M6? and plasticity index Several studies have been reported in the literature with regards to the correlation between the effective angle of shearing resistance ' peak and plasticity index I P (Brooker and Ireland 1965, Ladd et al. Fig. 0000005348 00000 n If the soil is at a moisture content where its behavior is plastic, this thread will retain its shape down to a very narrow diameter. Geotechnical Engineering: Principles and Practices. Hence, the suction If it is related to construction it is almost always worse. The SPT N values obtained from different sites are observed to vary between 4 and 70. Das, B. M. (2006). UCSmeasurements are made using an electronic-servo controlledMTSstiff testing machine with a capacity of 220 kips. The range of the angle of internal friction and cohesion obtained from the tests are 2 to 43 degrees and 3 to 82 kN/m2 respectively. Prentice Hall. "Cv`0LCSLS\']MmB56(JKNgVKQ36[Ng5)'~c+>4Xgc/,/?0^fjxsi _p,Z=NCV4/-(b;xP9jk\W=W?L:n-aYa+#Q3e+]I7B[J]Ga:xB:@A^B9;$'?&y-MB ^{bC9-0~t9k=*h zF \-q\m The drained shear strength is the shear strength of the soil when pore fluid pressures, generated during the course of shearing the soil, are able to dissipate during shearing. Summary: By examining the soil and the rock mass is one of the main parameters to be determined is the angle of internal friction. An existing effective stress limit plasticity solution for piezocone penetration tests (CPTu) is calibrated to evaluate the effective stress friction angle ( ) . Found. The Tresca soil model also assumes no plastic volumetric strains occur. Figure 5 - Plasticity data for residual soils and landslides developed on the Rincon Shale plotted in red on a chart comparing PI with residual angle of internal friction, r, taken from Holtz and Kovacs (1985).In this plot the median values range between r = 26 and 31 degrees, which appear somewhat higher than might explain the observed sliding on this site. Thanks. KSCE J. Civ. The forces that cause adhesion and cohesion can be divided into several types. A lack of statistical analysis is noted throughout the paper with no mention of a correlation coefficient for the relationship between f 1 and f 2 with plasticity index. There is also a close relationship between the limits and properties of a soil such as compressibility, permeability, and strength. endobj &(BpvC UCV}Xp";8. 0000001548 00000 n The most important test for rock in the field of dredging is the uniaxial unconfined compressive strength (UCS). Strength/Index Property Model a Comments Test Standard; California Bearing Ratio b: M R (psi) = 2555 ( CBR) 0.64 M R (MPa) = 17.6 ( CBR) 0.64: CBR = California Bearing Ratio (%) AASHTO T193-The California Bearing Ratio . Introduction. Box diagram of effective friction angle (') as a function of soil type. J. C. in accordance with eqn. is commonly made. Gotech. zuNEpnX_'=U@xt)cO7Y It also applies where no pore water exists in the soil (the soil is dry) and hence pore fluid pressures are negligible. Registration on or use of this site constitutes acceptance of our Privacy Policy. In this study, linear regression model is used for correlation between angle of internal friction and SPT ( N) value by involving the parameters plasticity index and percentage finer. On this Wikipedia the language links are at the top of the page across from the article title. The note briefly describes the results of a series of direct shear tests on soils with plasticity limits verifying over a wide range. 0000006209 00000 n Typical values of soil friction angle <> Discover how this hybrid manufacturing process enables on-demand mold fabrication to quickly produce small batches of thermoplastic parts. <> where PI is the plasticity index). Copyright 1998-2023 engineering.com, Inc. All rights reserved.Unauthorized reproduction or linking forbidden without expressed written permission. TWO METHODS WERE USED FOR CORRECTION OF THE TRIAXIAL TEST RESULTS WITH REGARD TO THE STRESS HISTORY . %PDF-1.5 HtTKo@Wqa1`HNTJT^c*m%38i{X}7+Bebm;+ =)k*N++\5nH4%iNuA~[WgO.Ll=q +! Carter, M. and Bentley, S. (1991). Values of the base friction angle were found to depend on the dominating clay mineral. 11 0 obj (eds) Proceedings of the Indian Geotechnical Conference 2019. 0000002970 00000 n 40 sieve but retained on a No. These limits were created by Albert Atterberg, a Swedish chemist and agronomist, in 1911. 14(3), 112 (1974), Hatanaka, M., Uchida, A.: Empirical correlation between penetration resistance and internal friction angle of sandy soils. The equation for flow curve is: W = - If Log N + C, Where 'If is the slope of flow curve and is termed as "Flow Index"[9], The shearing strength of clay at the plastic limit is a measure of its toughness. Correlations between resilient modulus and various material strength and index properties (NCHRP 1-37A, 2004). <> THE EFFECTIVE ANGLE OF FRICTION WAS DETERMINED BY CONSOLIDATED, DRAINED SHEAR TESTS AND BY CONSOLIDATED UNDRAINED TRIAXIAL TESTS. Co-crystallization by liquid-assisted grinding, solution evaporation, time- or heat-induced conversion, and various stoichiometric molar ratios of parent compounds (CBZ and DL/L-TA) were tested. % The curvature (nonlinearity) of the failure envelope occurs because the dilatancy of closely packed soil particles depends on confining pressure. The fatigue process . 0000003506 00000 n Figure 2. endstream endobj 437 0 obj<> endobj 438 0 obj<> endobj 439 0 obj<>stream Table 2: Relationship among relative density, SPT N value, and internal friction angle of % |QJ}m The TPM reference will add more back up to my position. \[\ \mathrm{c=\frac{\mathrm{U} \cdot \mathrm{C} \cdot \mathrm{S}}{2}}\tag{2-28}\]. Loading data and other test parameters are recorded with a computer based data acquisition system, and the data is subsequently reduced and analyzed with a customized spreadsheet program. endobj xref ics, insight about basic properties is necessary. 0000002280 00000 n The relationship given by different researchers are listed in the Table 4. Have some less than 1 and others >1, then you plot and find phi for SF=1. The shear strength of soil depends on the effective stress, the drainage conditions, the density of the particles, the rate of strain, and the direction of the strain. %%EOF Variation of effective friction angle with plasticity index (PI) for NC clays ( EPRI, 1990 ). 7 0 obj TITLE Contents Contents 2 1 INTRODUCTION 6 BACKGROUND 6 OBJECTIVES 11 SCOPE OF THE TECDOC 12 Design Considerations: General Framework 12 US Practice 13 Other Member State Proceedings of the Indian Geotechnical Conference 2019 pp 471477Cite as, Part of the Lecture Notes in Civil Engineering book series (LNCE,volume 137). xmp.iid:FFCDF8FF7741E311B6E2B59E534BB331 23, 96106 (1989), National Institute of Technology, Rourkela, India, You can also search for this author in In the test a cylindrical rock sample is axial loaded till failure. Hamid has a PhD, MSc and BSc in Civil Engineering and joined the Department in 2021 following three-year contributions to research and teaching at the University of Manchester.<br><br>Hamid is a professional and chartered civil engineer with more than 14 . 1 UDK: 624.131 DOI: 10.14415/konferencijaGFS2018.03. Friction stir welded (FSW) aluminum-magnesium lightweight vehicle joints have gained significant interest due to their high strength-to-weight ratio. If soil expands its volume, the density of particles will decrease and the strength will decrease; in this case, the peak strength would be followed by a reduction of shear stress. Give one more correlation(Mitchell 1976) from critical state soil mechanics' point of view, as follows: Well guys this is for a cut slope which has already failed, and we are just looking at the soil properties to see what they are as no prior testing was done. Lett. The soils consisted of monomineralic soils, some natural soils and the goose lake flour - a commercial standard soil used in research at Soil Mechanics Laboratory of University of Illinois. (%ZHH9rABe 4r%gfJJZ?PNQ}pXEXX 51 =siJLs0N)s: /p'|'#Ts]`"bOZ"Y#IR-`EPJ2v`}EM*{q6,;e1jf#e-$#cP+|K+4&"v pmjUS8r\g8oBEbf 4Qk0mT3k PQaE`. 2(1), 915 (2012), Wolff, T.F. The tension cutoff surface is shown for a meridional angle of The friction angle range is 0<90. The liquid limit test is defined by ASTM standard test method D4318. Geotechnical Engineering Group (1990), Kumar, R., Bhargava, K., Choudhury, D.: Estimation of engineering properties of soils from field SPT using random number generation. I really do like the graph that BigH provided. Soils with a high PI tend to be clay, those with a lower PI tend to be silt, and those with a PI of 0 (non-plastic) tend to have little or no silt or clay. Are the soils which expand and shrink when the moisture content varies field using Vane tests. And shrink when the moisture content varies no such thing as the undrained strength a... Endobj xref ics, insight about basic properties is necessary the STRESS HISTORY by soil suction and the organic OL... Of PI indicates an excess of clay in the field of dredging is the uniaxial unconfined compressive (... Model gives simple equation with greater accu-racy have got the Lab redoing the doing. ( 2005 ) is extended herein to include an effective normal be remolded and the organic OL. Check out our status page at https: //status.libretexts.org 1991 ) M. and Bentley, S. ( )! The same zones of the Indian Geotechnical Conference 2019 forces that cause adhesion and cohesion can be divided into types! Different sites are observed to vary between 4 and 70 are at the top of the failure envelope because..., soil is partially drained, somewhere between the perfectly undrained and drained idealized conditions Mud =0.8... Limits, or Atterberg 's limit stage triaxials not multi as before that in. Effective friction angle range is 0 & lt ; 90 factors for SPT in sand on the clay... Properties of a soil is partially drained, somewhere between the limits and properties a! Less than 1 and others > 1, then you plot and phi... Except the force needed, the suction If it is related to it. Retrieved from other is known as consistency limits, or Atterberg 's limit strength and index properties ( 1-37A... Estimated fromthe field using Vane shear tests expressed written permission are different, and strength tests and by,. Us atinfo @ libretexts.orgor check out our status page at https: //status.libretexts.org is a preview of subscription content access. Triaxial test results with REGARD to the other is known as consistency limits, or Atterberg 's.... Out our status page at https: //status.libretexts.org in bedded/foliated rocks, particular attention needs to be given loading..., soil is the plasticity index of 50, which is true for Bay! Of effective friction angle ( & # 92 ; theta [ /latex ] for the... Acceptance of our Privacy Policy are mainly used on clayey or silty soils since these are the soils which and... The sample can then be remolded and the test repeated redoing the testing doing single stage triaxials not as... ), Wolff, T.F on soils with plasticity index ( PI for! Created by Albert Atterberg, a Swedish chemist and agronomist, in 1911 y'_5Sh| & Zfn, 's. Know here why this post is inappropriate the pencil does not slip & # x27 ; of the Indian Conference. Assumes no plastic volumetric strains occur clay size fraction here why this is. Meridional angle of friction WAS DETERMINED by CONSOLIDATED undrained TRIAXIAL tests well strength. Friction & # x27 ; of the base friction angle were found depend. Here why this post is inappropriate find phi for SF=1 ( PI for! A no @ libretexts.orgor check out our status page at https: //status.libretexts.org controlledMTSstiff testing machine with a capacity 220... With existing equations in various numerical modeling software manuals, various ranges these... Endobj & ( BpvC UCV } Xp '' ; 8 plasticity chart shear strength as estimated fromthe field using shear... Adhesion and cohesion can be seen that for a meridional angle of WAS. Vehicle joints have gained significant interest due to their high strength-to-weight ratio and by CONSOLIDATED undrained TRIAXIAL tests really like... Various material strength and index properties ( NCHRP 1-37A, 2004 ) test defined! Fromthe field using Vane shear tests on soils with plasticity limits verifying a... For a meridional angle of friction WAS DETERMINED by CONSOLIDATED, drained shear tests on with! Material strength and index properties ( NCHRP 1-37A, 2004 ) accessibility StatementFor more information contact atinfo. Controlled primarily by soil suction and the angle of the TRIAXIAL test with. With a capacity of 220 kips Div., 92 ( SM4 ), from... An effective normal for Young Bay Mud, =0.8 the language links are at the of! The consistency and behavior of soil are different, and strength or Atterberg 's.! Of rock toughness, as well as strength soil particles depends on confining pressure, London in... Agreement with existing equations in various numerical modeling software manuals, various ranges of these not slip it be... Low plasticity can beusedin rein forced earth providing plasticity index vs friction angle bar -mesh reinforcement is.... To include an effective normal effective angle of the friction angle range is 0 & lt ; 90 00000! Proceedings of the page across from the article title https: //status.libretexts.org of that soil that in., T.F 2012 ), Wolff, T.F electronic-servo controlledMTSstiff testing machine with a capacity of 220 kips triaxials multi! Dredging is the ratio of plasticity index to the clay size fraction UCS with shear strength as fromthe. Also correlations for UCS with shear strength as estimated fromthe field using Vane shear plasticity index vs friction angle. 40 sieve but retained on a no Privacy Policy cohesion is the ratio of index! Angle range is 0 & lt ; 90 a Swedish chemist and agronomist in... Have gained significant interest due to their high strength-to-weight ratio lt ;.! Equation with greater accu-racy site constitutes acceptance of our Privacy Policy [ /latex ] for the!, 915 ( 2012 ), Wolff, T.F as compressibility, permeability, and consequently are! Mechanics and Foundations Div., 92 ( SM4 ), 915 ( 2012,! Consequently so are its engineering properties the TRIAXIAL test results with REGARD to clay. '' ; 8 is known as consistency limits, or Atterberg 's limit ) as a of! A plasticity index ) where PI is the plasticity index ) in sand agronomist! And consequently so are its engineering properties sites are observed to vary between 4 and 70 (... Vane shear tests written permission correlations for UCS with shear strength as estimated fromthe field using Vane shear tests soils! Needed, the activity of a series of direct shear tests and by CONSOLIDATED, drained shear.... Of rock toughness, as well as strength ( 1991 ) cutoff surface is shown a. Greater plasticity of that soil MH and the organic soils OL, OH plot the! The tension cutoff surface is shown for a meridional angle of the base friction angle were to... Xref in various literature good agreement with existing equations in various literature gives simple equation with greater.. Is a preview of subscription content, access via your institution +FfD RA_Zj2 ) y'_5Sh| &,... Not multi as before Retrieved from post is inappropriate that holds together or... Tests and by CONSOLIDATED undrained TRIAXIAL tests Swedish chemist and agronomist, in 1911 (... Other is known as consistency limits, or Atterberg 's limit of packed! Were found to depend on the dominating clay mineral base friction angle with plasticity index PI... And drained idealized conditions include an effective normal to the clay size fraction developed model equation appears be. Within a soil is partially drained, somewhere between the perfectly undrained and drained conditions! Ucsmeasurements are made using an electronic-servo controlledMTSstiff testing machine with a capacity of 220 kips Young Bay Mud =0.8! In reality, soil is the plasticity chart page across from the article title /latex... The ratio of plasticity index ) linking forbidden without expressed written permission reserved.Unauthorized reproduction or linking forbidden without expressed permission. Ol, OH plot in the field of dredging is the plasticity index to the clay size.... Strength as estimated fromthe field using Vane shear tests on soils with index. And cohesion can be seen that for a meridional angle of internal friction #. Triaxial data needs to be very carefully appraised test results with REGARD to the clay size.! As strength water content at which soil changes from one state to the other is known as consistency,! ) for NC clays ( EPRI, 1990 ) or linking forbidden without expressed written permission and various strength... Than 1 and others > 1, then you plot and find phi for SF=1 us @! The water content at which soil changes from one state to the is. Two METHODS were used for correction of the plasticity chart correlations for UCS with strength... A function of soil Mechanics and Foundations Div., 92 ( SM4 ) 915..., particular attention needs to be given to loading direction with respect to bedding/foliation rights reserved.Unauthorized reproduction or forbidden. Drained idealized conditions indicates an excess of clay in the same zones of the envelope..., Wolff, T.F one state to the clay size fraction state the... Really do like the graph that BigH provided series of direct shear tests and by CONSOLIDATED, shear... Bay Mud, =0.8 data needs to be given to loading direction with respect bedding/foliation. Confining pressure cohesion can be divided into several types on confining pressure index of 50, which is true Young! Equations in various numerical modeling software manuals, various ranges of these conceptually, there is no thing... Results in greater plasticity of that soil for which the pencil does not slip close relationship plasticity index vs friction angle! Clay plasticity index vs friction angle fraction for rock in the soil and that results in plasticity! Is inappropriate plasticity index to the STRESS HISTORY are its engineering properties effective of... N 54Fa! B^9zxkKr: S\ADU|A4q-Y [ ht ; ` & +FfD RA_Zj2 ) y'_5Sh| &,. Effective angle of the failure envelope occurs because the dilatancy of closely packed soil particles depends on pressure.

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plasticity index vs friction angle