{"id":159764,"date":"2023-09-16T13:57:24","date_gmt":"2023-09-16T08:27:24","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=159764"},"modified":"2023-09-16T13:57:25","modified_gmt":"2023-09-16T08:27:25","slug":"a-0-5-m-x-0-5-m-square-concrete-pile-is-to-be-driven-in-a-homogeneous-clayey-soil-having-undrained-shear-strength","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-0-5-m-x-0-5-m-square-concrete-pile-is-to-be-driven-in-a-homogeneous-clayey-soil-having-undrained-shear-strength\/","title":{"rendered":"A 0.5 m \u00d7 0.5 m square concrete pile is to be driven in a homogeneous clayey soil having undrained shear strength"},"content":{"rendered":"\n

Q. A 0.5 m \u00d7 0.5 m square concrete pile is to be driven in a homogeneous clayey soil having undrained shear strength, cu <\/em>= 50 kPa and unit weight, \u03b3 = 18.0 kN\/m3<\/sup>. The design capacity of the pile is 500 kN. The adhesion factor \u03b1 is given as 0.75. The length of the pile required for the above design load with a factor of safety of 2.0 is<\/p>\n\n\n\n

(A) 5.2 m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (B) 5.8 m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (C) 11.8 m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (D) 12.5 m<\/p>\n\n\n\n

Ans: 11.8 m\u00a0\u00a0\u00a0<\/p>\n\n\n\n

Sol:<\/p>\n\n\n\n

Given: 500 = Qu \/2 \u21d2 Qu = 1000 kN <\/p>\n\n\n\n

c = 50 kN, Nc = 9.0 is generally used for the piles, a = 0.75, Ab = side2 (square base) = 0.5 \u00d7 0.5 = 0.25 m2 <\/p>\n\n\n\n

Fb = cNc = 50 \u00d7 9 = 450 KN <\/p>\n\n\n\n

As = 4 \u00d7 side \u00d7 length (Surface area of square pile) = 4 \u00d7 0.5 \u00d7 L = 2L <\/p>\n\n\n\n

Fs = \u03b1C = 0.75 \u00d7 50 = 37.5 KN <\/p>\n\n\n\n

1000 = 0.25 \u00d7 450 + 2L \u00d7 37.5 <\/p>\n\n\n\n

L = 11.833 m<\/p>\n","protected":false},"excerpt":{"rendered":"

Q. A 0.5 m \u00d7 0.5 m square concrete pile is to be driven in a homogeneous clayey soil having undrained shear strength, cu = 50 kPa and unit weight, \u03b3 = 18.0 kN\/m3. The design capacity of the pile is 500 kN. The adhesion factor \u03b1 is given as 0.75. The length of the […]<\/p>\n","protected":false},"author":419,"featured_media":159765,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5141],"tags":[5140],"class_list":["post-159764","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/159764","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=159764"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/159764\/revisions"}],"predecessor-version":[{"id":159766,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/159764\/revisions\/159766"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/159765"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=159764"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=159764"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=159764"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}