{"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>[amp_mcq option1=&#8221;$$\\frac{{\\text{K}}}{{\\text{x}}}\\left( {1 + \\frac{{\\text{x}}}{{\\text{d}}}} \\right) + {\\text{bw}}$$&#8221; option2=&#8221;$${\\text{Kx}}\\left( {1 &#8211; \\frac{{\\text{x}}}{l}} \\right) + {\\text{bw}}$$&#8221; option3=&#8221;$${\\text{Kx}}\\left( {1 + \\frac{{\\text{x}}}{l}} \\right) + {\\text{bw}}$$&#8221; option4=&#8221;All the above&#8221; correct=&#8221;option3&#8243;]<!--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 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 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>[amp_mcq option1=&#8221;$$\\frac{{\\text{K}}}{{\\text{x}}}\\left( {1 + \\frac{{\\text{x}}}{{\\text{d}}}} \\right) + {\\text{bw}}$$&#8221; option2=&#8221;$${\\text{Kx}}\\left( {1 &#8211; \\frac{{\\text{x}}}{l}} \\right) + {\\text{bw}}$$&#8221; option3=&#8221;$${\\text{Kx}}\\left( {1 + \\frac{{\\text{x}}}{l}} \\right) + {\\text{bw}}$$&#8221; option4=&#8221;All the above&#8221; correct=&#8221;option3&#8243;]<\/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":[],"class_list":["post-5826","post","type-post","status-publish","format-standard","hentry","category-rcc-structures-design","no-featured-image-padding"],"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. All the above\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;$$frac{{text{K}}}{{text{x}}}left( {1 + frac{{text{x}}}{{text{d}}}} right) + {text{bw}}$$&#8221; option2=&#8221;$${text{Kx}}left( {1 &#8211; frac{{text{x}}}{l}} right) + {text{bw}}$$&#8221; option3=&#8221;$${text{Kx}}left( {1 + frac{{text{x}}}{l}} right) + {text{bw}}$$&#8221; option4=&#8221;All the above&#8221; correct=&#8221;option3&#8243;]\" \/>\n<meta property=\"og:url\" content=\"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:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-04-15T02:19:26+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 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","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. All the above","og_description":"[amp_mcq option1=&#8221;$$frac{{text{K}}}{{text{x}}}left( {1 + frac{{text{x}}}{{text{d}}}} right) + {text{bw}}$$&#8221; option2=&#8221;$${text{Kx}}left( {1 &#8211; frac{{text{x}}}{l}} right) + {text{bw}}$$&#8221; option3=&#8221;$${text{Kx}}left( {1 + frac{{text{x}}}{l}} right) + {text{bw}}$$&#8221; option4=&#8221;All the above&#8221; correct=&#8221;option3&#8243;]","og_url":"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_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T02:19:26+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-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\/","url":"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\/","name":"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","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-04-15T02:19:26+00:00","dateModified":"2024-04-15T02:19:26+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"breadcrumb":{"@id":"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\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["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\/"]}]},{"@type":"BreadcrumbList","@id":"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\/#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 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"}]},{"@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\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?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\/5826","targetHints":{"allow":["GET"]}}],"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=5826"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/5826\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=5826"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=5826"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=5826"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}