{"id":5939,"date":"2024-04-15T02:21:22","date_gmt":"2024-04-15T02:21:22","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=5939"},"modified":"2024-04-15T02:21:22","modified_gmt":"2024-04-15T02:21:22","slug":"the-maximum-value-of-hoop-compression-in-a-dome-is-given-by-where-w-load-per-unit-area-of-surface-of-dome-r-radius-of-curvature-d-thickness-of-dome-a-wr-4d-b-wr-2d-c-wr-d-d-2wr-d","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-maximum-value-of-hoop-compression-in-a-dome-is-given-by-where-w-load-per-unit-area-of-surface-of-dome-r-radius-of-curvature-d-thickness-of-dome-a-wr-4d-b-wr-2d-c-wr-d-d-2wr-d\/","title":{"rendered":"The maximum value of hoop compression in a dome is given by (where, w = load per unit area of surface of dome R = radius of curvature d = thickness of dome) A. wR \/ 4d B. wR\/2d C. wR\/d D. 2wR\/d"},"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_6a9ac934c1dca\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    wR \/ 4d                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    wR\/2d                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"true\">\r\n                    wR\/d                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    2wR\/d                <\/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\" 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<!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{B. }wR\/2d}$.<\/p>\n<p>The hoop compression in a dome is given by the following equation:<\/p>\n<p>$$\\sigma = \\frac{wR}{2d}$$<\/p>\n<p>where:<\/p>\n<ul>\n<li>$\\sigma$ is the hoop compression<\/li>\n<li>$w$ is the load per unit area of <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> surface of dome<\/li>\n<li>$R$ is the radius of curvature<\/li>\n<li>$d$ is the thickness of dome<\/li>\n<\/ul>\n<p>The hoop compression is the maximum at the top of the dome, where the radius of curvature is the largest. The thickness of the dome is constant, so the hoop compression is proportional to the load per unit area of surface of the dome and inversely proportional to the thickness of the dome.<\/p>\n<p>Option A is incorrect because it does not take into account the thickness of the dome. Option C is incorrect because it does not take into account the radius of <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> curvature of the dome. Option D is incorrect because it is twice the correct value.<\/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":[641],"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>The maximum value of hoop compression in a dome is given by (where, w = load per unit area of surface of dome R = radius of curvature d = thickness of dome) A. wR \/ 4d B. wR\/2d C. wR\/d D. 2wR\/d<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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