{"id":5690,"date":"2024-04-15T02:17:20","date_gmt":"2024-04-15T02:17:20","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=5690"},"modified":"2024-04-15T02:17:20","modified_gmt":"2024-04-15T02:17:20","slug":"the-equivalent-length-of-a-column-of-length-l-having-one-end-fixed-and-the-other-end-free-is-a-2l-b-l-c-fractextl2-d-fractextlsqrt-2","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-equivalent-length-of-a-column-of-length-l-having-one-end-fixed-and-the-other-end-free-is-a-2l-b-l-c-fractextl2-d-fractextlsqrt-2\/","title":{"rendered":"The equivalent length of a column of length L having one end fixed and the other end free, is A. 2L B. L C. $$\\frac{{\\text{L}}}{2}$$ D. $$\\frac{{\\text{L}}}{{\\sqrt 2 }}$$"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;2L&#8221; option2=&#8221;L&#8221; option3=&#8221;$$\\frac{{\\text{L}}}{2}$$&#8221; option4=&#8221;$$\\frac{{\\text{L}}}{{\\sqrt 2 }}$$&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is $\\frac{{\\text{L}}}{{\\sqrt 2 }}$.<\/p>\n<p>A column is a structural element that is designed to support loads primarily by compression. The equivalent length of a column is a measure of its stiffness, and it is used in the design of columns to ensure that they are not overloaded.<\/p>\n<p>The equivalent length of a column with one end fixed and the other end free is $\\frac{{\\text{L}}}{{\\sqrt 2 }}$. This is because the fixed end of the column provides no support against lateral movement, so the column is effectively twice as long as it actually is.<\/p>\n<p>The other options are incorrect because they do not take into account the fact that the fixed end of the column provides no support against lateral movement.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;2L&#8221; option2=&#8221;L&#8221; option3=&#8221;$$\\frac{{\\text{L}}}{2}$$&#8221; option4=&#8221;$$\\frac{{\\text{L}}}{{\\sqrt 2 }}$$&#8221; correct=&#8221;option1&#8243;]<\/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":[],"class_list":["post-5690","post","type-post","status-publish","format-standard","hentry","category-theory-of-structures","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>The equivalent length of a column of length L having one end fixed and the other end free, is A. 2L B. L C. $$\\frac{{\\text{L}}}{2}$$ D. $$\\frac{{\\text{L}}}{{\\sqrt 2 }}$$<\/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\/the-equivalent-length-of-a-column-of-length-l-having-one-end-fixed-and-the-other-end-free-is-a-2l-b-l-c-fractextl2-d-fractextlsqrt-2\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The equivalent length of a column of length L having one end fixed and the other end free, is A. 2L B. 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L C. $$\\frac{{\\text{L}}}{2}$$ D. $$\\frac{{\\text{L}}}{{\\sqrt 2 }}$$","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\/the-equivalent-length-of-a-column-of-length-l-having-one-end-fixed-and-the-other-end-free-is-a-2l-b-l-c-fractextl2-d-fractextlsqrt-2\/","og_locale":"en_US","og_type":"article","og_title":"The equivalent length of a column of length L having one end fixed and the other end free, is A. 2L B. 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