{"id":5826,"date":"2024-04-15T02:19:26","date_gmt":"2024-04-15T02:19:26","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=5826"},"modified":"2024-04-15T02:19:26","modified_gmt":"2024-04-15T02:19:26","slug":"if-k-is-a-constant-depending-upon-the-ratio-of-the-width-of-the-slab-to-its-effective-span-l-x-is-the-distance-of-the-concentrated-load-from-the-nearer-support-bw-is-the-width-of-the-area-of-con","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-k-is-a-constant-depending-upon-the-ratio-of-the-width-of-the-slab-to-its-effective-span-l-x-is-the-distance-of-the-concentrated-load-from-the-nearer-support-bw-is-the-width-of-the-area-of-con\/","title":{"rendered":"If K is a constant depending upon the ratio of the width of the slab to its effective span $$l$$, x is the distance of the concentrated load from the nearer support, bw is the width of the area of contact of the concentrated load measured parallel to the supported edge, the effective width of the slab be is A. $$\\frac{{\\text{K}}}{{\\text{x}}}\\left( {1 + \\frac{{\\text{x}}}{{\\text{d}}}} \\right) + {\\text{bw}}$$ B. $${\\text{Kx}}\\left( {1 &#8211; \\frac{{\\text{x}}}{l}} \\right) + {\\text{bw}}$$ C. $${\\text{Kx}}\\left( {1 + \\frac{{\\text{x}}}{l}} \\right) + {\\text{bw}}$$ D. All the above"},"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_6a9b5c922ded6\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    $$\frac{{\text{K}}}{{\text{x}}}left( {1 + \frac{{\text{x}}}{{\text{d}}}} \right) + {\text{bw}}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    $${\text{Kx}}left( {1 - \frac{{\text{x}}}{l}} \right) + {\text{bw}}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"true\">\r\n                    $${\text{Kx}}left( {1 + \frac{{\text{x}}}{l}} \right) + {\text{bw}}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    All the above                <\/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 $\\boxed{\\text{A}}$.<\/p>\n<p>The effective width of a slab is the width of the slab <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> that is considered to be carrying the load. It is always less than the actual width of the slab, and it depends on the distance of the concentrated load from the nearer support, the width of the area of contact of the concentrated load measured parallel to the supported edge, and a constant depending upon the ratio of the width of the slab to its effective span.<\/p>\n<p>The equation for the effective width of a slab is given by:<\/p>\n<p>$$\\text{effective width} = \\frac{{\\text{K}}}{{\\text{x}}}\\left( {1 + \\frac{{\\text{x}}}{{\\text{d}}}} \\right) + {\\text{bw}}$$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$K$ is a constant depending upon the ratio of the width of the slab to its effective span<\/li>\n<li>$x$ is the distance of the <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> concentrated load from the nearer support<\/li>\n<li>$d$ is the effective depth of the slab<\/li>\n<li>$bw$ is the width of the area of contact of the concentrated load measured parallel to the supported edge<\/li>\n<\/ul>\n<p>Option A is the correct equation for the effective width of a slab. Option B is incorrect because it does not include the term $\\frac{{K}}{{x}}$. Option C is incorrect because it does not include the term $\\frac{{\\text{x}}}{{\\text{d}}}$. Option D is incorrect because it includes all three options, but only option A is correct.<\/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 K is a constant depending upon the ratio of the width of the slab to its effective span $$l$$, x is the distance of the concentrated load from the nearer support, bw is the width of the area of contact of the concentrated load measured parallel to the supported edge, the effective width of the slab be is A. $$\\frac{{\\text{K}}}{{\\text{x}}}\\left( {1 + \\frac{{\\text{x}}}{{\\text{d}}}} \\right) + {\\text{bw}}$$ B. $${\\text{Kx}}\\left( {1 - \\frac{{\\text{x}}}{l}} \\right) + {\\text{bw}}$$ C. $${\\text{Kx}}\\left( {1 + \\frac{{\\text{x}}}{l}} \\right) + {\\text{bw}}$$ D. All the above<\/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-k-is-a-constant-depending-upon-the-ratio-of-the-width-of-the-slab-to-its-effective-span-l-x-is-the-distance-of-the-concentrated-load-from-the-nearer-support-bw-is-the-width-of-the-area-of-con\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If K is a constant depending upon the ratio of the width of the slab to its effective span $$l$$, x is the distance of the concentrated load from the nearer support, bw is the width of the area of contact of the concentrated load measured parallel to the supported edge, the effective width of the slab be is A. $$\\frac{{\\text{K}}}{{\\text{x}}}\\left( {1 + \\frac{{\\text{x}}}{{\\text{d}}}} \\right) + {\\text{bw}}$$ B. $${\\text{Kx}}\\left( {1 - \\frac{{\\text{x}}}{l}} \\right) + {\\text{bw}}$$ C. $${\\text{Kx}}\\left( {1 + \\frac{{\\text{x}}}{l}} \\right) + {\\text{bw}}$$ D. 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All the above","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-k-is-a-constant-depending-upon-the-ratio-of-the-width-of-the-slab-to-its-effective-span-l-x-is-the-distance-of-the-concentrated-load-from-the-nearer-support-bw-is-the-width-of-the-area-of-con\/","og_locale":"en_US","og_type":"article","og_title":"If K is a constant depending upon the ratio of the width of the slab to its effective span $$l$$, x is the distance of the concentrated load from the nearer support, bw is the width of the area of contact of the concentrated load measured parallel to the supported edge, the effective width of the slab be is A. $$\\frac{{\\text{K}}}{{\\text{x}}}\\left( {1 + \\frac{{\\text{x}}}{{\\text{d}}}} \\right) + {\\text{bw}}$$ B. $${\\text{Kx}}\\left( {1 - \\frac{{\\text{x}}}{l}} \\right) + {\\text{bw}}$$ C. $${\\text{Kx}}\\left( {1 + \\frac{{\\text{x}}}{l}} \\right) + {\\text{bw}}$$ D. 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