{"id":6912,"date":"2024-04-15T02:36:01","date_gmt":"2024-04-15T02:36:01","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=6912"},"modified":"2024-04-15T02:36:01","modified_gmt":"2024-04-15T02:36:01","slug":"a-cylindrical-specimen-of-saturated-soil-failed-under-an-axial-vertical-stress-of-100-kn-m2-when-it-was-laterally-un-confmed-the-failure-plane-was-inclined-to-the-horizontal-plane-at-an-angle-of-45a","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-cylindrical-specimen-of-saturated-soil-failed-under-an-axial-vertical-stress-of-100-kn-m2-when-it-was-laterally-un-confmed-the-failure-plane-was-inclined-to-the-horizontal-plane-at-an-angle-of-45a\/","title":{"rendered":"A cylindrical specimen of saturated soil failed under an axial vertical stress of 100 kN\/m2 when it was laterally un-confmed. The failure plane was inclined to the horizontal plane at an angle of 45\u00c2\u00b0. The values of cohesion and angle of internal friction for the soil are respectively A. 0.5 N\/mm2 and 30\u00c2\u00b0 B. 0.05 N\/mm2 and 0\u00c2\u00b0 C. 0.2 N\/mm2 and 0\u00c2\u00b0 D. 0.05 N\/mm2 and 45\u00c2\u00b0"},"content":{"rendered":"<p>\r\n    <!-- Check if it's an AMP page -->\r\n            <!-- Non-AMP version -->\r\n        <div class=\"mcq-container\" data-quiz-id=\"quizState_6a9832a137a08\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"true\">\r\n                    0.5 N\/mm2 and 30\u00c2\u00b0                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    0.05 N\/mm2 and 0\u00c2\u00b0                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    0.2 N\/mm2 and 0\u00c2\u00b0                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    0.05 N\/mm2 and 45\u00c2\u00b0                <\/div>\r\n                            \r\n            <!-- Feedback messages for non-AMP -->\r\n            <div class=\"feedback\" data-feedback=\"wrong\">Answer is Right!<\/div>\r\n            <div class=\"feedback\" data-feedback=\"right\">Answer is Wrong!<\/div>\r\n        <\/div>\r\n\r\n        <script>\r\n        document.addEventListener('DOMContentLoaded', function () {\r\n            var containers = document.querySelectorAll('.mcq-container');\r\n\r\n            containers.forEach(function(container) {\r\n                var options = container.querySelectorAll('.option');\r\n                var feedbackSelect = container.querySelector('[data-feedback=\"select\"]');\r\n                var feedbackWrong = container.querySelector('[data-feedback=\"wrong\"]');\r\n                var feedbackRight = container.querySelector('[data-feedback=\"right\"]');\r\n\r\n                options.forEach(function(option) {\r\n                    option.addEventListener('click', function() {\r\n                        var selectedOption = option.getAttribute('data-option-key');\r\n                        var isCorrect = option.getAttribute('data-is-correct') === 'true';\r\n\r\n                        \/\/ Remove previous selections\r\n                        options.forEach(function(opt) {\r\n                            opt.classList.remove('correct', 'incorrect');\r\n                        });\r\n\r\n                        \/\/ Add the correct\/incorrect class\r\n                        if (isCorrect) {\r\n                            option.classList.add('correct');\r\n                            feedbackRight.hidden = false;\r\n                            feedbackWrong.hidden = true;\r\n                        } else {\r\n                            option.classList.add('incorrect');\r\n                            feedbackRight.hidden = true;\r\n                            feedbackWrong.hidden = false;\r\n                        }\r\n\r\n                        \/\/ Hide select feedback\r\n                        feedbackSelect.hidden = true;\r\n                    });\r\n                });\r\n            });\r\n        });\r\n        <\/script>\r\n    \r\n    <!--more--><\/p>\n<p>The correct answer is A. 0.5 N\/mm2 and 30\u00c2\u00b0.<\/p>\n<p>The cohesion of a soil is the maximum shear stress that can be developed in the soil when there is no relative movement between the soil particles. The angle of internal friction is the angle between the major principal stress and the failure plane.<\/p>\n<p>In this case, the soil failed under an axial vertical stress of 100 kN\/m2. The failure plane was inclined to the horizontal plane at an angle of 45\u00c2\u00b0. This means that the major principal stress was acting at an angle of 45\u00c2\u00b0 to the horizontal plane.<\/p>\n<p>The cohesion of the soil can be calculated using the following equation:<\/p>\n<p>$c = \\frac{1}{2} \\sigma_1 <div class=\"youtube-subscribe-container\">\r\n        <a href=\"https:\/\/www.youtube.com\/channel\/UCNHT8lW-JmLC68rjBfZhdkg?sub_confirmation=1\" target=\"_blank\" class=\"youtube-subscribe-button\">\r\n            <span class=\"youtube-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 576 512\">\r\n                    <path d=\"M549.7 124.1c-6.3-23.7-24.8-42.3-48.3-48.6C458.8 64 288 64 288 64S117.2 64 74.6 75.5c-23.5 6.3-42 24.9-48.3 48.6-11.4 42.9-11.4 132.3-11.4 132.3s0 89.4 11.4 132.3c6.3 23.7 24.8 41.5 48.3 47.8C117.2 448 288 448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> \\tan \\phi$<\/p>\n<p>where $c$ is the cohesion, $\\sigma_1$ is the major principal stress, and $\\phi$ is the angle of internal friction.<\/p>\n<p>Substituting the values given in the question, we get:<\/p>\n<p>$c = \\frac{1}{2} (100 \\text{ kN\/m}^2) \\tan 45\u00c2\u00b0 = 0.5 \\text{ N\/mm}^2$<\/p>\n<p>The angle of internal friction can be calculated using the following equation:<\/p>\n<p>$\\phi = \\arctan <div class=\"telegram-channel-container\">\r\n        <a href=\"https:\/\/t.me\/pscnotes2025\" target=\"_blank\" class=\"telegram-channel-button\">\r\n            <span class=\"telegram-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 496 512\">\r\n                    <path fill=\"white\" d=\"M248,8C111,8,0,119,0,256s111,248,248,248s248-111,248-248S385,8,248,8z M362,177L320,367c-3,14-10,18-20,14l-56-41l-27,26 c-3,3-5,5-10,5l4-63L323,196c5-5-1-7-8-3l-98,62l-42-13c-9-3-10-9,2-14l162-63C351,160,365,164,362,177z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Join Our Telegram Channel\r\n        <\/a>\r\n    <\/div> \\frac{c}{\\sigma_1}$<\/p>\n<p>Substituting the values given in the question, we get:<\/p>\n<p>$\\phi = \\arctan \\frac{0.5 \\text{ N\/mm}^2}{100 \\text{ kN\/m}^2} = 30\u00c2\u00b0$<\/p>\n<p>Therefore, the values of cohesion and angle of internal friction for the soil are respectively 0.5 N\/mm2 and 30\u00c2\u00b0.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Join Our Telegram Channel Subscribe on YouTube<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[646],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A cylindrical specimen of saturated soil failed under an axial vertical stress of 100 kN\/m2 when it was laterally un-confmed. The failure plane was inclined to the horizontal plane at an angle of 45\u00c2\u00b0. The values of cohesion and angle of internal friction for the soil are respectively A. 0.5 N\/mm2 and 30\u00c2\u00b0 B. 0.05 N\/mm2 and 0\u00c2\u00b0 C. 0.2 N\/mm2 and 0\u00c2\u00b0 D. 0.05 N\/mm2 and 45\u00c2\u00b0<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/a-cylindrical-specimen-of-saturated-soil-failed-under-an-axial-vertical-stress-of-100-kn-m2-when-it-was-laterally-un-confmed-the-failure-plane-was-inclined-to-the-horizontal-plane-at-an-angle-of-45a\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A cylindrical specimen of saturated soil failed under an axial vertical stress of 100 kN\/m2 when it was laterally un-confmed. The failure plane was inclined to the horizontal plane at an angle of 45\u00c2\u00b0. The values of cohesion and angle of internal friction for the soil are respectively A. 0.5 N\/mm2 and 30\u00c2\u00b0 B. 0.05 N\/mm2 and 0\u00c2\u00b0 C. 0.2 N\/mm2 and 0\u00c2\u00b0 D. 0.05 N\/mm2 and 45\u00c2\u00b0\" \/>\n<meta property=\"og:description\" content=\"Join Our Telegram Channel Subscribe on YouTube\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-cylindrical-specimen-of-saturated-soil-failed-under-an-axial-vertical-stress-of-100-kn-m2-when-it-was-laterally-un-confmed-the-failure-plane-was-inclined-to-the-horizontal-plane-at-an-angle-of-45a\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T02:36:01+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"A cylindrical specimen of saturated soil failed under an axial vertical stress of 100 kN\/m2 when it was laterally un-confmed. The failure plane was inclined to the horizontal plane at an angle of 45\u00c2\u00b0. The values of cohesion and angle of internal friction for the soil are respectively A. 0.5 N\/mm2 and 30\u00c2\u00b0 B. 0.05 N\/mm2 and 0\u00c2\u00b0 C. 0.2 N\/mm2 and 0\u00c2\u00b0 D. 0.05 N\/mm2 and 45\u00c2\u00b0","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/a-cylindrical-specimen-of-saturated-soil-failed-under-an-axial-vertical-stress-of-100-kn-m2-when-it-was-laterally-un-confmed-the-failure-plane-was-inclined-to-the-horizontal-plane-at-an-angle-of-45a\/","og_locale":"en_US","og_type":"article","og_title":"A cylindrical specimen of saturated soil failed under an axial vertical stress of 100 kN\/m2 when it was laterally un-confmed. The failure plane was inclined to the horizontal plane at an angle of 45\u00c2\u00b0. The values of cohesion and angle of internal friction for the soil are respectively A. 0.5 N\/mm2 and 30\u00c2\u00b0 B. 0.05 N\/mm2 and 0\u00c2\u00b0 C. 0.2 N\/mm2 and 0\u00c2\u00b0 D. 0.05 N\/mm2 and 45\u00c2\u00b0","og_description":"Join Our Telegram Channel Subscribe on YouTube","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-cylindrical-specimen-of-saturated-soil-failed-under-an-axial-vertical-stress-of-100-kn-m2-when-it-was-laterally-un-confmed-the-failure-plane-was-inclined-to-the-horizontal-plane-at-an-angle-of-45a\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T02:36:01+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-cylindrical-specimen-of-saturated-soil-failed-under-an-axial-vertical-stress-of-100-kn-m2-when-it-was-laterally-un-confmed-the-failure-plane-was-inclined-to-the-horizontal-plane-at-an-angle-of-45a\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-cylindrical-specimen-of-saturated-soil-failed-under-an-axial-vertical-stress-of-100-kn-m2-when-it-was-laterally-un-confmed-the-failure-plane-was-inclined-to-the-horizontal-plane-at-an-angle-of-45a\/","name":"A cylindrical specimen of saturated soil failed under an axial vertical stress of 100 kN\/m2 when it was laterally un-confmed. The failure plane was inclined to the horizontal plane at an angle of 45\u00c2\u00b0. The values of cohesion and angle of internal friction for the soil are respectively A. 0.5 N\/mm2 and 30\u00c2\u00b0 B. 0.05 N\/mm2 and 0\u00c2\u00b0 C. 0.2 N\/mm2 and 0\u00c2\u00b0 D. 0.05 N\/mm2 and 45\u00c2\u00b0","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-04-15T02:36:01+00:00","dateModified":"2024-04-15T02:36:01+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/a-cylindrical-specimen-of-saturated-soil-failed-under-an-axial-vertical-stress-of-100-kn-m2-when-it-was-laterally-un-confmed-the-failure-plane-was-inclined-to-the-horizontal-plane-at-an-angle-of-45a\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/a-cylindrical-specimen-of-saturated-soil-failed-under-an-axial-vertical-stress-of-100-kn-m2-when-it-was-laterally-un-confmed-the-failure-plane-was-inclined-to-the-horizontal-plane-at-an-angle-of-45a\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-cylindrical-specimen-of-saturated-soil-failed-under-an-axial-vertical-stress-of-100-kn-m2-when-it-was-laterally-un-confmed-the-failure-plane-was-inclined-to-the-horizontal-plane-at-an-angle-of-45a\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"mcq","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/"},{"@type":"ListItem","position":3,"name":"Civil engineering","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/civil-engineering\/"},{"@type":"ListItem","position":4,"name":"Soil mechanics and foundation","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/civil-engineering\/soil-mechanics-and-foundation\/"},{"@type":"ListItem","position":5,"name":"A cylindrical specimen of saturated soil failed under an axial vertical stress of 100 kN\/m2 when it was laterally un-confmed. The failure plane was inclined to the horizontal plane at an angle of 45\u00c2\u00b0. The values of cohesion and angle of internal friction for the soil are respectively A. 0.5 N\/mm2 and 30\u00c2\u00b0 B. 0.05 N\/mm2 and 0\u00c2\u00b0 C. 0.2 N\/mm2 and 0\u00c2\u00b0 D. 0.05 N\/mm2 and 45\u00c2\u00b0"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/d97f17072bfa490596c8f78363955d55?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/d97f17072bfa490596c8f78363955d55?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/6912"}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=6912"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/6912\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=6912"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=6912"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=6912"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}