{"id":5779,"date":"2024-04-15T02:18:41","date_gmt":"2024-04-15T02:18:41","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=5779"},"modified":"2024-04-15T02:18:41","modified_gmt":"2024-04-15T02:18:41","slug":"if-d-is-the-diameter-of-a-bar-ft-is-allowable-tensile-stress-and-fb-is-allowable-bond-stress-the-bond-length-is-given-by-a-fractextf_textttextd4textf_textb","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-d-is-the-diameter-of-a-bar-ft-is-allowable-tensile-stress-and-fb-is-allowable-bond-stress-the-bond-length-is-given-by-a-fractextf_textttextd4textf_textb\/","title":{"rendered":"If d is the diameter of a bar, ft is allowable tensile stress and fb, is allowable bond stress, the bond length is given by A. $$\\frac{{{{\\text{f}}_{\\text{t}}}{\\text{d}}}}{{4{{\\text{f}}_{\\text{b}}}}}$$ B. $$\\frac{\\pi }{4} \\times \\frac{{{{\\text{f}}_{\\text{t}}}{\\text{d}}}}{{{{\\text{f}}_{\\text{b}}}}}$$ C. $$\\frac{{\\pi {{\\text{f}}_{\\text{t}}}{{\\text{d}}^2}}}{{{{\\text{f}}_{\\text{b}}}}}$$ D. $$\\frac{\\pi }{4} \\times \\frac{{{{\\text{f}}_{\\text{t}}}{{\\text{d}}^3}}}{{{{\\text{f}}_{\\text{b}}}}}$$"},"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_6a9d085a982c1\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    $$\frac{{{{\text{f}}_{\text{t}}}{\text{d}}}}{{4{{\text{f}}_{\text{b}}}}}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    $$\frac{pi }{4} \times \frac{{{{\text{f}}_{\text{t}}}{\text{d}}}}{{{{\text{f}}_{\text{b}}}}}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    $$\frac{{pi {{\text{f}}_{\text{t}}}{{\text{d}}^2}}}{{{{\text{f}}_{\text{b}}}}}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"true\">\r\n                    $$\frac{pi }{4} \times \frac{{{{\text{f}}_{\text{t}}}{{\text{d}}^3}}}{{{{\text{f}}_{\text{b}}}}}$$                <\/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 $\\boxed{\\frac{\\pi}{4} \\times \\frac{{{{\\text{f}}<em>{\\text{t}}}{{\\text{d}}^2}}}{{{{\\text{f}}<\/em>{\\text{b}}}}}$.<\/p>\n<p>The bond length is the length of a reinforcing bar that is embedded in concrete so that the two materials can transfer forces to each other. The bond length is determined by the following equation:<\/p>\n<p>$$l_b = \\frac{\\pi}{4} \\times \\frac{{{{\\text{f}}<em>{\\text{t}}}{{\\text{d}}^2}}}{{{{\\text{f}}<\/em>{\\text{b}}}}}$$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$l_b$ is the bond length<\/li>\n<li>$f_t$ is the allowable tensile stress in the reinforcing bar<\/li>\n<li>$f_b$ is the allowable bond stress in the concrete<\/li>\n<li>$d$ is the diameter of the reinforcing bar<\/li>\n<\/ul>\n<p>The allowable tensile stress in the reinforcing <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> bar is the maximum tensile stress that the bar can withstand without failing. The allowable bond stress in the concrete is the maximum tensile stress that the concrete can withstand without <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> failing. The diameter of the reinforcing bar is the diameter of the bar measured across its cross-section.<\/p>\n<p>The bond length is important because it ensures that the reinforcing bar is adequately bonded to the concrete so that the two materials can transfer forces to each other. If the bond length is too short, the reinforcing bar may not be able to withstand the tensile forces in the concrete and may fail.<\/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":[640],"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>If d is the diameter of a bar, ft is allowable tensile stress and fb, is allowable bond stress, the bond length is given by A. $$\\frac{{{{\\text{f}}_{\\text{t}}}{\\text{d}}}}{{4{{\\text{f}}_{\\text{b}}}}}$$ B. $$\\frac{\\pi }{4} \\times \\frac{{{{\\text{f}}_{\\text{t}}}{\\text{d}}}}{{{{\\text{f}}_{\\text{b}}}}}$$ C. $$\\frac{{\\pi {{\\text{f}}_{\\text{t}}}{{\\text{d}}^2}}}{{{{\\text{f}}_{\\text{b}}}}}$$ D. $$\\frac{\\pi }{4} \\times \\frac{{{{\\text{f}}_{\\text{t}}}{{\\text{d}}^3}}}{{{{\\text{f}}_{\\text{b}}}}}$$<\/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\/if-d-is-the-diameter-of-a-bar-ft-is-allowable-tensile-stress-and-fb-is-allowable-bond-stress-the-bond-length-is-given-by-a-fractextf_textttextd4textf_textb\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If d is the diameter of a bar, ft is allowable tensile stress and fb, is allowable bond stress, the bond length is given by A. $$\\frac{{{{\\text{f}}_{\\text{t}}}{\\text{d}}}}{{4{{\\text{f}}_{\\text{b}}}}}$$ B. $$\\frac{\\pi }{4} \\times \\frac{{{{\\text{f}}_{\\text{t}}}{\\text{d}}}}{{{{\\text{f}}_{\\text{b}}}}}$$ C. $$\\frac{{\\pi {{\\text{f}}_{\\text{t}}}{{\\text{d}}^2}}}{{{{\\text{f}}_{\\text{b}}}}}$$ D. $$\\frac{\\pi }{4} \\times \\frac{{{{\\text{f}}_{\\text{t}}}{{\\text{d}}^3}}}{{{{\\text{f}}_{\\text{b}}}}}$$\" \/>\n<meta property=\"og:description\" content=\"Join Our Telegram Channel Subscribe on YouTube\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/if-d-is-the-diameter-of-a-bar-ft-is-allowable-tensile-stress-and-fb-is-allowable-bond-stress-the-bond-length-is-given-by-a-fractextf_textttextd4textf_textb\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T02:18:41+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":"If d is the diameter of a bar, ft is allowable tensile stress and fb, is allowable bond stress, the bond length is given by A. $$\\frac{{{{\\text{f}}_{\\text{t}}}{\\text{d}}}}{{4{{\\text{f}}_{\\text{b}}}}}$$ B. $$\\frac{\\pi }{4} \\times \\frac{{{{\\text{f}}_{\\text{t}}}{\\text{d}}}}{{{{\\text{f}}_{\\text{b}}}}}$$ C. $$\\frac{{\\pi {{\\text{f}}_{\\text{t}}}{{\\text{d}}^2}}}{{{{\\text{f}}_{\\text{b}}}}}$$ D. $$\\frac{\\pi }{4} \\times \\frac{{{{\\text{f}}_{\\text{t}}}{{\\text{d}}^3}}}{{{{\\text{f}}_{\\text{b}}}}}$$","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\/if-d-is-the-diameter-of-a-bar-ft-is-allowable-tensile-stress-and-fb-is-allowable-bond-stress-the-bond-length-is-given-by-a-fractextf_textttextd4textf_textb\/","og_locale":"en_US","og_type":"article","og_title":"If d is the diameter of a bar, ft is allowable tensile stress and fb, is allowable bond stress, the bond length is given by A. $$\\frac{{{{\\text{f}}_{\\text{t}}}{\\text{d}}}}{{4{{\\text{f}}_{\\text{b}}}}}$$ B. $$\\frac{\\pi }{4} \\times \\frac{{{{\\text{f}}_{\\text{t}}}{\\text{d}}}}{{{{\\text{f}}_{\\text{b}}}}}$$ C. $$\\frac{{\\pi {{\\text{f}}_{\\text{t}}}{{\\text{d}}^2}}}{{{{\\text{f}}_{\\text{b}}}}}$$ D. $$\\frac{\\pi }{4} \\times \\frac{{{{\\text{f}}_{\\text{t}}}{{\\text{d}}^3}}}{{{{\\text{f}}_{\\text{b}}}}}$$","og_description":"Join Our Telegram Channel Subscribe on YouTube","og_url":"https:\/\/exam.pscnotes.com\/mcq\/if-d-is-the-diameter-of-a-bar-ft-is-allowable-tensile-stress-and-fb-is-allowable-bond-stress-the-bond-length-is-given-by-a-fractextf_textttextd4textf_textb\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T02:18:41+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\/if-d-is-the-diameter-of-a-bar-ft-is-allowable-tensile-stress-and-fb-is-allowable-bond-stress-the-bond-length-is-given-by-a-fractextf_textttextd4textf_textb\/","url":"https:\/\/exam.pscnotes.com\/mcq\/if-d-is-the-diameter-of-a-bar-ft-is-allowable-tensile-stress-and-fb-is-allowable-bond-stress-the-bond-length-is-given-by-a-fractextf_textttextd4textf_textb\/","name":"If d is the diameter of a bar, ft is allowable tensile stress and fb, is allowable bond stress, the bond length is given by A. $$\\frac{{{{\\text{f}}_{\\text{t}}}{\\text{d}}}}{{4{{\\text{f}}_{\\text{b}}}}}$$ B. $$\\frac{\\pi }{4} \\times \\frac{{{{\\text{f}}_{\\text{t}}}{\\text{d}}}}{{{{\\text{f}}_{\\text{b}}}}}$$ C. $$\\frac{{\\pi {{\\text{f}}_{\\text{t}}}{{\\text{d}}^2}}}{{{{\\text{f}}_{\\text{b}}}}}$$ D. $$\\frac{\\pi }{4} \\times \\frac{{{{\\text{f}}_{\\text{t}}}{{\\text{d}}^3}}}{{{{\\text{f}}_{\\text{b}}}}}$$","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-04-15T02:18:41+00:00","dateModified":"2024-04-15T02:18:41+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/if-d-is-the-diameter-of-a-bar-ft-is-allowable-tensile-stress-and-fb-is-allowable-bond-stress-the-bond-length-is-given-by-a-fractextf_textttextd4textf_textb\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/if-d-is-the-diameter-of-a-bar-ft-is-allowable-tensile-stress-and-fb-is-allowable-bond-stress-the-bond-length-is-given-by-a-fractextf_textttextd4textf_textb\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/if-d-is-the-diameter-of-a-bar-ft-is-allowable-tensile-stress-and-fb-is-allowable-bond-stress-the-bond-length-is-given-by-a-fractextf_textttextd4textf_textb\/#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":"Rcc structures design","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/civil-engineering\/rcc-structures-design\/"},{"@type":"ListItem","position":5,"name":"If d is the diameter of a bar, ft is allowable tensile stress and fb, is allowable bond stress, the bond length is given by A. $$\\frac{{{{\\text{f}}_{\\text{t}}}{\\text{d}}}}{{4{{\\text{f}}_{\\text{b}}}}}$$ B. $$\\frac{\\pi }{4} \\times \\frac{{{{\\text{f}}_{\\text{t}}}{\\text{d}}}}{{{{\\text{f}}_{\\text{b}}}}}$$ C. $$\\frac{{\\pi {{\\text{f}}_{\\text{t}}}{{\\text{d}}^2}}}{{{{\\text{f}}_{\\text{b}}}}}$$ D. $$\\frac{\\pi }{4} \\times \\frac{{{{\\text{f}}_{\\text{t}}}{{\\text{d}}^3}}}{{{{\\text{f}}_{\\text{b}}}}}$$"}]},{"@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\/5779"}],"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=5779"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/5779\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=5779"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=5779"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=5779"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}