{"id":3548,"date":"2024-09-05T18:09:28","date_gmt":"2024-09-05T12:39:28","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=3548"},"modified":"2025-08-13T13:15:24","modified_gmt":"2025-08-13T07:45:24","slug":"preconsolidation-pressure","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/ce\/soil-mechanics-foundation-engineering\/preconsolidation-pressure","title":{"rendered":"Preconsolidation Pressure"},"content":{"rendered":"<p style=\"text-align: justify;\">The maximum pressure to which an overconsolidated soil had been subjected in the past is known as the preconsolidation pressure or over-consolidation pressure (\u03c3<sub>c<\/sub>) . When a soil specimen is taken from a natural deposit, the weight of the overlying material (over-burden) is removed. This causes an expansion of the soil due to a reduction in pressure. Thus the specimen is generally pre-consolidated or over-consolidated. When the specimen is loaded in the consolidation test, the initial portion AB of the compresion curve ABCD is actually a recompression curve. Consequently, the initial portion AB is relatively flat. It is followed by a straight line CD with a steep slope which indicates the compression of a virgin (normally consolidated) soil.<\/p>\n<p style=\"text-align: justify;\">In the transition range BC, the slope gradually changes. The preconsolidation pressure (\u03c3<sub>c<\/sub>) falls in this range. It can be obtained using the method given by Casagrade.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-3549 aligncenter\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/09\/pre-consolidated-soil-300x191.jpg\" alt=\"Pre Consolidated Soil\" width=\"300\" height=\"191\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/09\/pre-consolidated-soil-300x191.jpg 300w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/09\/pre-consolidated-soil.jpg 307w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<h2 style=\"text-align: justify;\">The procedure consists of the following steps:<\/h2>\n<ol style=\"text-align: justify;\">\n<li>Determine the point E on the curve where the curvature is maximum, i.e., the radius of curvature is minimum.<\/li>\n<li>Draw the tangent EF to the curve at E.<\/li>\n<li>Draw horizontal line EG at E.<\/li>\n<li>Bisect the angle between the tangent EF and the horizontal EG, and draw the bisector EH.<\/li>\n<li>Produce back the straight line portion CD of the curve and determine the point of intersection P of the bisector EH and the backward extension of CD.<\/li>\n<li>Draw the vertical PJ through P which cuts the log \u03c3 -axis at J. The point J indicates the preconsolidation pressure \u03c3c .<\/li>\n<li>The vertical PJ cuts the curve at point K. The portion ABK of the curve represents the recompression curve and the portion KCD as the virgin compression curve.<\/li>\n<\/ol>\n<h3 style=\"text-align: justify;\">Length of Drainage Path<\/h3>\n<ul style=\"text-align: justify;\">\n<li>In case of double drainage, there are two drainage surfaces, one at top and another at bottom of consolidating layer.<br \/>\nLength of drainage path, d = H<sub>0<\/sub> \/ 2 &#8230;(For two way)<\/li>\n<li>In case of single or one-way drainage, drainage surface is provided either at top or bottom.<br \/>\nLength of drainage path, d =\u00a0H<sub>0\u00a0<\/sub>&#8230;(For one-way)<\/li>\n<li>During the process of consolidation, thickness of soil layer decreases. Hence length of drainage path also changes. So, for accurate computation average drainage length must be taken.<br \/>\nLet, d<sub>i<\/sub> = Initial drainage length<br \/>\nd<sub>i\u00a0<\/sub>= Final drainage length after consolidation<br \/>\nd<sub>avg<\/sub> = d<sub>i<\/sub> + d<sub>f<\/sub> \/ 2<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3550 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/09\/drainage.jpg\" alt=\"Drainage\" width=\"247\" height=\"307\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/09\/drainage.jpg 247w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/09\/drainage-241x300.jpg 241w\" sizes=\"auto, (max-width: 247px) 100vw, 247px\" \/><\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\">Double Drainage System:<\/h4>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3551 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/09\/drainage-condition.jpg\" alt=\"Drainage Condition\" width=\"419\" height=\"312\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/09\/drainage-condition.jpg 419w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/09\/drainage-condition-300x223.jpg 300w\" sizes=\"auto, (max-width: 419px) 100vw, 419px\" \/><\/p>\n<h4 style=\"text-align: justify;\">Single Drainage System<\/h4>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3552 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/09\/single-drainage.jpg\" alt=\"Single Drainage\" width=\"404\" height=\"383\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/09\/single-drainage.jpg 404w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/09\/single-drainage-300x284.jpg 300w\" sizes=\"auto, (max-width: 404px) 100vw, 404px\" \/><\/p>\n<h3 style=\"text-align: justify;\">Degree of Consolidation<\/h3>\n<ul style=\"text-align: justify;\">\n<li>It refers to the percentage of primary consolidation at any instant of time. At any instant it is represented by U.<\/li>\n<li>At the beginning of consolidation, degree of consolidation is 0 or 0%.<\/li>\n<li>At the end of consolidation, when expulsion of pore water stops, degree of consolidation is 1 or 100%.<br \/>\n0% \u2264 U \u2264 100%<\/li>\n<li>Degree of consolidation can be computed as follows:<\/li>\n<\/ul>\n<ol style=\"text-align: justify;\">\n<li><strong>In terms of settlement:<br \/>\n<\/strong>Let \u2206H be the ultimate consolidation settlement corresponding to U = 100%.<br \/>\nDegree of consolidation at any time \u2018t \u2019 when settlement is \u2206h, is<br \/>\nU % = \u2206h \/ \u2206H x 100<\/li>\n<li><strong>In terms of void ratio:\u00a0<\/strong><br \/>\nLet e<sub>0<\/sub> be the initial void ratio at the centre of soil when U = 0%<br \/>\nLet e<sub>100<\/sub> is be the final void ratio after completion of consolidation at U = 100%.<br \/>\nAt any intermediate time \u2018t \u2019, void ratio is \u2018e\u2019, then degree of consolidation is given by,<br \/>\nU % = e<sub>0<\/sub> &#8211; e \/ e<sub>0<\/sub> &#8211; e<sub>100<\/sub> x 100<\/li>\n<li><strong>In terms of excess pore pressure:<br \/>\n<\/strong>Let initially excess pore pressure be u<sub>i<\/sub> and let after any time \u2018t \u2019 the excess pore pressure be u, then degree of consolidation is given by<br \/>\nU % =\u00a0u<sub>i\u00a0<\/sub>&#8211; u \/\u00a0u<sub>i\u00a0\u00a0<\/sub>x 100<\/li>\n<\/ol>\n<h3 style=\"text-align: justify;\">Time Factor (T<sub>v<\/sub>)<\/h3>\n<p style=\"text-align: justify;\">This is a non-dimensional parameter, which is directly proportional to time elapsed \u2018t\u2019 for a particular soil and inversely proportional to the square of length of drainage path. This is given by<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-3553 size-full aligncenter\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/09\/time-factor.jpg\" alt=\"Time Factor\" width=\"600\" height=\"262\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/09\/time-factor.jpg 600w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/09\/time-factor-300x131.jpg 300w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/p>\n<p style=\"text-align: center;\"><a class=\"btn btn-danger\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/ce\/soil-mechanics-foundation-engineering\/consolidation\/\" 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\/compression-ratios\/\" 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>The maximum pressure to which an overconsolidated soil had been subjected in the past is known as the preconsolidation pressure<\/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":[994,993,995],"class_list":["post-3548","post","type-post","status-publish","format-standard","hentry","category-soil-mechanics-foundation-engineering","category-ce","tag-double-drainage-system","tag-drainage-path","tag-time-factor"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/3548","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=3548"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/3548\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=3548"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=3548"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=3548"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}