{"id":3447,"date":"2024-09-02T18:53:36","date_gmt":"2024-09-02T13:23:36","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=3447"},"modified":"2025-08-13T11:35:19","modified_gmt":"2025-08-13T06:05:19","slug":"atterberg-limits","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/ce\/soil-mechanics-foundation-engineering\/atterberg-limits","title":{"rendered":"Consistency of clays (Atterberg Limits)"},"content":{"rendered":"<p style=\"text-align: justify;\">Consistency represents relative ease with which a soil can be deformed. It represents relative firmness of soil.<\/p>\n<p style=\"text-align: justify;\">In practice, consistency is a property associated only with fine grained soils, especially clays.<\/p>\n<p>Depending on percentage water content, four stages of consistency are used to describe the state of a clayey soil:<\/p>\n<ol>\n<li>Solid State<\/li>\n<li>Semi Solid State<\/li>\n<li>Plastic State<\/li>\n<li>Liquid State<\/li>\n<\/ol>\n<p>The boundary between any two states is called consistency limit. They are also known as Atterberg limits after Swedish scientist Atterberg, who first demonstrated the significance of these limits. <img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-3448 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/clayey-soil-.jpg\" alt=\"Clayey Soil \" width=\"261\" height=\"245\" \/><br \/>\nV<sub>d<\/sub> = Volume of dry soil mass<br \/>\n= Volume of soil at shrinkage limit<br \/>\nV<sub>P<\/sub> = Volume of soil at plastic limit<br \/>\nV<sub>L<\/sub> = Volume of soil at liquid limit<br \/>\nw<sub>L<\/sub> = Liquid limit<br \/>\nw<sub>P<\/sub> = Plastic limit<br \/>\nw<sub>S<\/sub> = Shrinkage limit<\/p>\n<p>Slope, dy \/ dx = constant<\/p>\n<p>V<sub>L<\/sub> &#8211; V<sub>P<\/sub> \/ W<sub>L<\/sub> &#8211; W<sub>P<\/sub> = V<sub>P<\/sub> &#8211; V<sub>d<\/sub> \/ W<sub>P<\/sub> &#8211; W<sub>s<\/sub><\/p>\n<p>For change in water content corresponding to change in degree of saturation from 0 to 100%, there is no <img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-3451 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/shear-strength-2.jpg\" alt=\"Shear Strength\" width=\"253\" height=\"233\" \/> change in total volume of soil. But for water content increasing greater than shrinkage limit (S = 100%), then with change in water content total volume of soil also changes.<\/p>\n<p>At shrinkage limit all the pores of soil are just filled by water. Hence degree of saturation (S) is 100%.<\/p>\n<p>Naturally existing soils have water content between w<sub>L<\/sub> and w<sub>P<\/sub>.<\/p>\n<p>On increase in water content shear strength of soil decreases.<\/p>\n<h2>Liquid Limit (w<sub>L<\/sub>)<\/h2>\n<p>It is that minimum water content at which soil has tendency to flow. At liquid limit, consistency of soil changes from plastic state to liquid state.<br \/>\nAt liquid limit all soils have nearly negligible shear strength of 2.7 kN\/m<sup>2<\/sup> approximately.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_79_1 ez-toc-wrap-left counter-hierarchy ez-toc-counter ez-toc-light-blue ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.madeeasy.in\/study\/ce\/soil-mechanics-foundation-engineering\/atterberg-limits\/#Determination-of-Liquid-Limit\" >Determination of Liquid Limit:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.madeeasy.in\/study\/ce\/soil-mechanics-foundation-engineering\/atterberg-limits\/#Plastic-Limit-wP\" >Plastic Limit (wP)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.madeeasy.in\/study\/ce\/soil-mechanics-foundation-engineering\/atterberg-limits\/#Shrinkage-Limit-ws\" >Shrinkage Limit (ws)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.madeeasy.in\/study\/ce\/soil-mechanics-foundation-engineering\/atterberg-limits\/#Plasticity-Index\" >Plasticity Index<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.madeeasy.in\/study\/ce\/soil-mechanics-foundation-engineering\/atterberg-limits\/#Liquidity-Index-IL\" >Liquidity Index (IL)<\/a><\/li><\/ul><\/nav><\/div>\n<h3><span class=\"ez-toc-section\" id=\"Determination-of-Liquid-Limit\"><\/span><strong>Determination of Liquid Limit:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Liquid limit is found out by the following two methods:<br \/>\n(a) Casagrande\u2019s apparatus.<br \/>\n(b) Cone penetration.<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3452 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/liquid-limit.jpg\" alt=\"Liquid Limit\" width=\"598\" height=\"373\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/liquid-limit.jpg 598w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/liquid-limit-300x187.jpg 300w\" sizes=\"auto, (max-width: 598px) 100vw, 598px\" \/><\/p>\n<p><strong>(a) Casagrande\u2019s apparatus<\/strong><\/p>\n<ul>\n<li>About 120 g oven dried soil passing through IS sieve 425 micron is taken and mixed with water (say w1 %) to attain putty like consistency.<\/li>\n<li>Paste is placed inside casagrande apparatus cup and levelled.<br \/>\nTwo types of grooving tools are used for cutting:<br \/>\n(a) Casagrande tool which cuts a groove 2 mm wide at the bottom of soil and 11 mm at the top of soil.<br \/>\n(b) ASTM tool which cuts a groove 2 mm wide at the bottom 13.6 mm wide at the top of soil. For a soil of low plasticity, the ASTM grooving tool is preferred.<\/li>\n<li>A groove of 2 mm size is cut and apparatus is given blows over a rubber pad and no. of blows required to close the 2 mm groove is noted as N<sub>1<\/sub>.<\/li>\n<li>Now same soil is mixed with water content w2 and no. of blows required to close the 2 mm groove is noted say N<sub>2<\/sub>.<\/li>\n<li>Same process is repeated with different water contents.<\/li>\n<li>A graph is plotted between % water content and number of blows in semi log scale.<\/li>\n<li>The above curve is called flow curve and the slope of above curve is called flow index (I<sub>f<\/sub>).<br \/>\nI<sub>f <\/sub>= tan \u03b8 <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3453 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/casagrande.jpg\" alt=\"Casagrande\" width=\"304\" height=\"249\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/casagrande.jpg 304w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/casagrande-300x246.jpg 300w\" sizes=\"auto, (max-width: 304px) 100vw, 304px\" \/><\/li>\n<li>Liquid limit is the water content corresponding to 25 number of blows.<\/li>\n<li>If a soil has greater flow index, it means that the rate of loss of shear strength with increase in water content is high.<\/li>\n<li>Curve 1 has larger shear strength.<br \/>\nCurve 2 has lower shear strength.<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Plastic-Limit-wP\"><\/span>Plastic Limit (w<sub>P<\/sub>)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>The water content at which soil sample changes from semi-solid to plastic state is known as Plastic Limit.<\/li>\n<li>Plastic limit is also defined as the minimum water content at which soil would just begin to crumble when rolled into a thread of approximately 3 mm diameter.<\/li>\n<li>Clays have high plastic limit and liquid limit. But liquid limit is very-very less as compared to plastic limit.<\/li>\n<li>Coarse grained soil like sand and gravel have less liquid limit and plastic limit generally,<\/li>\n<\/ul>\n<table width=\"0\">\n<tbody>\n<tr>\n<td width=\"117\"><strong>Type of soil<\/strong><\/td>\n<td width=\"106\"><strong>Liquid limit (w<sub>L<\/sub>)<\/strong><\/td>\n<td width=\"107\"><strong>Plastic limit (w<sub>P<\/sub>)<\/strong><\/td>\n<\/tr>\n<tr>\n<td width=\"117\"><strong>Black cotton soil<\/strong><\/td>\n<td width=\"106\">400 &#8211; 500%<\/td>\n<td width=\"107\">200 &#8211; 250%<\/td>\n<\/tr>\n<tr>\n<td width=\"117\"><strong>Alluvial soil (sand)<\/strong><\/td>\n<td width=\"106\">10 &#8211; 50%<\/td>\n<td width=\"107\">10 &#8211; 15%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ul>\n<li>Plastic limit depends upon amount and type of clay mineral in soil. Hence clay containing fine soils have more plastic limit.<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Shrinkage-Limit-ws\"><\/span>Shrinkage Limit (w<sub>s<\/sub>)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>A state when the decrease in moisture content leads to solid state, no change in volume of soil mass is observed, the consistency of soil changes from semi-solid to solid state. The boundary water content is called shrinkage limit.<\/li>\n<li>Shrinkage limit is the smallest value of water content at which soil mass is completely saturated. It means that below shrinkage limit, soil is partially saturated.<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3454 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/shrinkage-limit-.jpg\" alt=\"Shrinkage Limit \" width=\"630\" height=\"587\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/shrinkage-limit-.jpg 630w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/shrinkage-limit--300x280.jpg 300w\" sizes=\"auto, (max-width: 630px) 100vw, 630px\" \/><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Plasticity-Index\"><\/span>Plasticity Index<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>It is the range of moisture content over which a soil exhibits plasticity. It is equal to the difference between LL\u00a0 and PL.<br \/>\nI<sub>P<\/sub>\u00a0= w<sub>L<\/sub> \u2013 w<sub>P<\/sub><br \/>\nw<sub>L<\/sub> = Water content at L L<br \/>\nw<sub>P<\/sub> = Water content at P L<\/li>\n<li>This is due to presence of clay minerals.<\/li>\n<li>For coarse grained soils, there is no plastic zone. Hence LL coincides with PL<br \/>\nIP = 0<\/li>\n<li>If PL \u2265 LL, then IP is reported as zero. IP can never be Negative<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3455 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/shrinkage-index.jpg\" alt=\"Shrinkage Index\" width=\"677\" height=\"466\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/shrinkage-index.jpg 677w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/shrinkage-index-300x206.jpg 300w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/shrinkage-index-130x90.jpg 130w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Liquidity-Index-IL\"><\/span>Liquidity Index (I<sub>L<\/sub>)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>It is defined as the ratio of the difference between the natural water content of a soil and its plastic limit to its plasticity index.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-3456 size-full aligncenter\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/liquidity-index.jpg\" alt=\"Liquidity Index\" width=\"419\" height=\"244\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/liquidity-index.jpg 419w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/08\/liquidity-index-300x175.jpg 300w\" sizes=\"auto, (max-width: 419px) 100vw, 419px\" \/><\/p>\n<p style=\"text-align: center;\"><a class=\"btn btn-danger\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/ce\/soil-mechanics-foundation-engineering\/gravity-of-soil-solids\/\" target=\"_blank\" rel=\"noopener\">&lt;&lt; Previous<\/a> | <a class=\"btn btn-success\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/ce\/soil-mechanics-foundation-engineering\/relative-density\/\" target=\"_blank\" rel=\"noopener\"> Next &gt;&gt;<\/a><br \/>\n<strong> Must Read: <\/strong> <a href=\"https:\/\/study.madeeasy.in\/ce\/soil-mechanics-and-foundation-engineering\/\" target=\"_blank\" rel=\"noopener\"><strong>Soil Mechanics and Foundation Engineering<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Consistency represents relative ease with which a soil can be deformed. It represents relative firmness of soil. In practice, consistency<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[957,2],"tags":[965,966,964],"class_list":["post-3447","post","type-post","status-publish","format-standard","hentry","category-soil-mechanics-foundation-engineering","category-ce","tag-cone-penetration","tag-flow-curve","tag-liquid-limit"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/3447","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/comments?post=3447"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/3447\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=3447"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=3447"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=3447"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}