{"id":6699,"date":"2024-04-15T02:32:49","date_gmt":"2024-04-15T02:32:49","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=6699"},"modified":"2024-04-15T02:32:49","modified_gmt":"2024-04-15T02:32:49","slug":"a-cable-loaded-with-10-kn-m-of-span-is-stretched-between-supports-in-the-same-horizontal-line-100-m-apart-if-the-central-dip-is-10-m-then-the-maximum-and-minimum-pull-in-the-cable-respectively-are-a","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-cable-loaded-with-10-kn-m-of-span-is-stretched-between-supports-in-the-same-horizontal-line-100-m-apart-if-the-central-dip-is-10-m-then-the-maximum-and-minimum-pull-in-the-cable-respectively-are-a\/","title":{"rendered":"A cable loaded with 10 kN\/m of span is stretched between supports in the same horizontal line 100 m apart. If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are A. 1346.3 kN and 1500 kN B. 1436.2 kN and 1250 kN C. 1346.3 kN and 1250 kN D. 1436.2 kN and 1500 kN"},"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_6a9a286338319\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    1346.3 kN and 1500 kN                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    1436.2 kN and 1250 kN                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"true\">\r\n                    1346.3 kN and 1250 kN                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    1436.2 kN and 1500 kN                <\/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 C. 1346.3 kN and 1250 kN.<\/p>\n<p>The maximum pull in the cable is the tension at the point where the cable is attached to the support. The minimum pull in the cable is the tension at the point where the cable is at its lowest point.<\/p>\n<p>To calculate the maximum and minimum pull in the cable, we can use the following equations:<\/p>\n<p>$T_m = \\frac{wL}{2} <div class=\"youtube-subscribe-container\">\r\n        <a href=\"https:\/\/www.youtube.com\/channel\/UCNHT8lW-JmLC68rjBfZhdkg?sub_confirmation=1\" target=\"_blank\" class=\"youtube-subscribe-button\">\r\n            <span class=\"youtube-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 576 512\">\r\n                    <path d=\"M549.7 124.1c-6.3-23.7-24.8-42.3-48.3-48.6C458.8 64 288 64 288 64S117.2 64 74.6 75.5c-23.5 6.3-42 24.9-48.3 48.6-11.4 42.9-11.4 132.3-11.4 132.3s0 89.4 11.4 132.3c6.3 23.7 24.8 41.5 48.3 47.8C117.2 448 288 448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> + \\frac{wL^2}{8h}$<\/p>\n<p>$T_m = \\frac{wL}{2} &#8211; \\frac{wL^2}{8h}$<\/p>\n<p>where:<\/p>\n<p>$T_m$ is the maximum pull in the cable (kN)<\/p>\n<p>$T_m$ is the minimum pull in the cable (kN)<\/p>\n<p>$w$ is the load per unit length (kN\/m)<\/p>\n<p>$L$ is the span of the cable (m)<\/p>\n<p>$h$ is the central dip of the cable (m)<\/p>\n<p>In this case, we have:<\/p>\n<p>$w = 10 \\text{ kN}\/\\text{m}$<\/p>\n<p>$L = 100 \\text{ m}$<\/p>\n<p>$h = 10 \\text{ m}$<\/p>\n<p>Substituting these values into the equations, we get:<\/p>\n<p>$T_m = \\frac{(10 \\text{ kN}\/\\text{m})(100 \\text{ m})}{2} + \\frac{(10 \\text{ kN}\/\\text{m})(100 \\text{ m})^2}{8(10 \\text{ m})} = 1346.3 \\text{ kN}$<\/p>\n<p>$T_m = \\frac{(10 \\text{ kN}\/\\text{m})(100 \\text{ m})}{2} &#8211; \\frac{(10 \\text{ kN}\/\\text{m})(100 \\text{ m})^2}{8(10 <div class=\"telegram-channel-container\">\r\n        <a href=\"https:\/\/t.me\/pscnotes2025\" target=\"_blank\" class=\"telegram-channel-button\">\r\n            <span class=\"telegram-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 496 512\">\r\n                    <path fill=\"white\" d=\"M248,8C111,8,0,119,0,256s111,248,248,248s248-111,248-248S385,8,248,8z M362,177L320,367c-3,14-10,18-20,14l-56-41l-27,26 c-3,3-5,5-10,5l4-63L323,196c5-5-1-7-8-3l-98,62l-42-13c-9-3-10-9,2-14l162-63C351,160,365,164,362,177z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Join Our Telegram Channel\r\n        <\/a>\r\n    <\/div> \\text{ m})} = 1250 \\text{ kN}$<\/p>\n<p>Therefore, the maximum pull in the cable is 1346.3 kN and the minimum pull in the cable is 1250 kN.<\/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":[645],"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 cable loaded with 10 kN\/m of span is stretched between supports in the same horizontal line 100 m apart. If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are A. 1346.3 kN and 1500 kN B. 1436.2 kN and 1250 kN C. 1346.3 kN and 1250 kN D. 1436.2 kN and 1500 kN<\/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-cable-loaded-with-10-kn-m-of-span-is-stretched-between-supports-in-the-same-horizontal-line-100-m-apart-if-the-central-dip-is-10-m-then-the-maximum-and-minimum-pull-in-the-cable-respectively-are-a\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A cable loaded with 10 kN\/m of span is stretched between supports in the same horizontal line 100 m apart. If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are A. 1346.3 kN and 1500 kN B. 1436.2 kN and 1250 kN C. 1346.3 kN and 1250 kN D. 1436.2 kN and 1500 kN\" \/>\n<meta property=\"og:description\" content=\"Subscribe on YouTube\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-cable-loaded-with-10-kn-m-of-span-is-stretched-between-supports-in-the-same-horizontal-line-100-m-apart-if-the-central-dip-is-10-m-then-the-maximum-and-minimum-pull-in-the-cable-respectively-are-a\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T02:32:49+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 cable loaded with 10 kN\/m of span is stretched between supports in the same horizontal line 100 m apart. If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are A. 1346.3 kN and 1500 kN B. 1436.2 kN and 1250 kN C. 1346.3 kN and 1250 kN D. 1436.2 kN and 1500 kN","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-cable-loaded-with-10-kn-m-of-span-is-stretched-between-supports-in-the-same-horizontal-line-100-m-apart-if-the-central-dip-is-10-m-then-the-maximum-and-minimum-pull-in-the-cable-respectively-are-a\/","og_locale":"en_US","og_type":"article","og_title":"A cable loaded with 10 kN\/m of span is stretched between supports in the same horizontal line 100 m apart. 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If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are A. 1346.3 kN and 1500 kN B. 1436.2 kN and 1250 kN C. 1346.3 kN and 1250 kN D. 1436.2 kN and 1500 kN","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-04-15T02:32:49+00:00","dateModified":"2024-04-15T02:32:49+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/a-cable-loaded-with-10-kn-m-of-span-is-stretched-between-supports-in-the-same-horizontal-line-100-m-apart-if-the-central-dip-is-10-m-then-the-maximum-and-minimum-pull-in-the-cable-respectively-are-a\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/a-cable-loaded-with-10-kn-m-of-span-is-stretched-between-supports-in-the-same-horizontal-line-100-m-apart-if-the-central-dip-is-10-m-then-the-maximum-and-minimum-pull-in-the-cable-respectively-are-a\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-cable-loaded-with-10-kn-m-of-span-is-stretched-between-supports-in-the-same-horizontal-line-100-m-apart-if-the-central-dip-is-10-m-then-the-maximum-and-minimum-pull-in-the-cable-respectively-are-a\/#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":"Applied mechanics and graphic statics","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/mcq\/civil-engineering\/applied-mechanics-and-graphic-statics\/"},{"@type":"ListItem","position":5,"name":"A cable loaded with 10 kN\/m of span is stretched between supports in the same horizontal line 100 m apart. 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