{"id":5675,"date":"2024-04-15T02:17:07","date_gmt":"2024-04-15T02:17:07","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=5675"},"modified":"2024-04-15T02:17:07","modified_gmt":"2024-04-15T02:17:07","slug":"for-the-close-coil-helical-spring-of-the-maximum-deflection-is-a-fractextwtextd3textntextd4textn-b-frac2textwtextd3textn","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/for-the-close-coil-helical-spring-of-the-maximum-deflection-is-a-fractextwtextd3textntextd4textn-b-frac2textwtextd3textn\/","title":{"rendered":"For the close coil helical spring of the maximum deflection is A. $$\\frac{{{\\text{W}}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{N}}}}$$ B. $$\\frac{{2{\\text{W}}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{N}}}}$$ C. $$\\frac{{4{{\\text{W}}^2}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{n}}}}$$ D. $$\\frac{{8{\\text{W}}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{n}}}}$$"},"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_6a99aee94fc94\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"true\">\r\n                    $$\frac{{{\text{W}}{{\text{D}}^3}{\text{n}}}}{{{{\text{d}}^4}{\text{N}}}}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    $$\frac{{2{\text{W}}{{\text{D}}^3}{\text{n}}}}{{{{\text{d}}^4}{\text{N}}}}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    $$\frac{{4{{\text{W}}^2}{{\text{D}}^3}{\text{n}}}}{{{{\text{d}}^4}{\text{n}}}}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    $$\frac{{8{\text{W}}{{\text{D}}^3}{\text{n}}}}{{{{\text{d}}^4}{\text{n}}}}$$                <\/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 $\\frac{{2{\\text{W}}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{N}}}}$.<\/p>\n<p>The maximum deflection of a close coil helical spring is given by the following equation:<\/p>\n<p>$$\\delta = \\frac{{2{\\text{W}}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{N}}}}$$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$\\delta$ is the maximum deflection,<\/li>\n<li>$W$ is the load applied to the spring,<\/li>\n<li>$D$ is the mean coil diameter,<\/li>\n<li>$n$ is the number of active coils,<\/li>\n<li>$d$ is the wire diameter, and<\/li>\n<li>$N$ <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> is the spring rate.<\/li>\n<\/ul>\n<p>The spring rate is a measure of how much the spring will deflect under a given load. It is calculated by the following equation:<\/p>\n<p>$$N = \\frac{{F}}{{\\delta}}$$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$F$ is the force applied to the spring, and<\/li>\n<li>$\\delta$ is the deflection of the spring.<\/li>\n<\/ul>\n<p>The maximum deflection of a close coil <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> helical spring is proportional to the load applied to the spring, the cube of the mean coil diameter, the number of active coils, and the inverse of the fourth power of the wire diameter.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>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":[639],"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>For the close coil helical spring of the maximum deflection is A. $$\\frac{{{\\text{W}}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{N}}}}$$ B. $$\\frac{{2{\\text{W}}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{N}}}}$$ C. $$\\frac{{4{{\\text{W}}^2}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{n}}}}$$ D. $$\\frac{{8{\\text{W}}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{n}}}}$$<\/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\/for-the-close-coil-helical-spring-of-the-maximum-deflection-is-a-fractextwtextd3textntextd4textn-b-frac2textwtextd3textn\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"For the close coil helical spring of the maximum deflection is A. $$\\frac{{{\\text{W}}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{N}}}}$$ B. $$\\frac{{2{\\text{W}}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{N}}}}$$ C. $$\\frac{{4{{\\text{W}}^2}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{n}}}}$$ D. 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A. $$\\frac{{{\\text{W}}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{N}}}}$$ B. $$\\frac{{2{\\text{W}}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{N}}}}$$ C. $$\\frac{{4{{\\text{W}}^2}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{n}}}}$$ D. $$\\frac{{8{\\text{W}}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{n}}}}$$","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\/for-the-close-coil-helical-spring-of-the-maximum-deflection-is-a-fractextwtextd3textntextd4textn-b-frac2textwtextd3textn\/","og_locale":"en_US","og_type":"article","og_title":"For the close coil helical spring of the maximum deflection is A. $$\\frac{{{\\text{W}}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{N}}}}$$ B. $$\\frac{{2{\\text{W}}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{N}}}}$$ C. $$\\frac{{4{{\\text{W}}^2}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{n}}}}$$ D. $$\\frac{{8{\\text{W}}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{n}}}}$$","og_description":"Subscribe on YouTube","og_url":"https:\/\/exam.pscnotes.com\/mcq\/for-the-close-coil-helical-spring-of-the-maximum-deflection-is-a-fractextwtextd3textntextd4textn-b-frac2textwtextd3textn\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T02:17:07+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\/for-the-close-coil-helical-spring-of-the-maximum-deflection-is-a-fractextwtextd3textntextd4textn-b-frac2textwtextd3textn\/","url":"https:\/\/exam.pscnotes.com\/mcq\/for-the-close-coil-helical-spring-of-the-maximum-deflection-is-a-fractextwtextd3textntextd4textn-b-frac2textwtextd3textn\/","name":"For the close coil helical spring of the maximum deflection is A. $$\\frac{{{\\text{W}}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{N}}}}$$ B. $$\\frac{{2{\\text{W}}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{N}}}}$$ C. $$\\frac{{4{{\\text{W}}^2}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{n}}}}$$ D. $$\\frac{{8{\\text{W}}{{\\text{D}}^3}{\\text{n}}}}{{{{\\text{d}}^4}{\\text{n}}}}$$","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-04-15T02:17:07+00:00","dateModified":"2024-04-15T02:17:07+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/for-the-close-coil-helical-spring-of-the-maximum-deflection-is-a-fractextwtextd3textntextd4textn-b-frac2textwtextd3textn\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/for-the-close-coil-helical-spring-of-the-maximum-deflection-is-a-fractextwtextd3textntextd4textn-b-frac2textwtextd3textn\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/for-the-close-coil-helical-spring-of-the-maximum-deflection-is-a-fractextwtextd3textntextd4textn-b-frac2textwtextd3textn\/#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 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