{"id":5653,"date":"2024-04-15T02:16:48","date_gmt":"2024-04-15T02:16:48","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=5653"},"modified":"2024-04-15T02:16:48","modified_gmt":"2024-04-15T02:16:48","slug":"for-beams-of-uniform-strength-if-depth-is-constant-a-width-textb-propto-textm-b-width-textb-propto-sqrt-textm-c-width-textb-propto-3sqrt-text","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/for-beams-of-uniform-strength-if-depth-is-constant-a-width-textb-propto-textm-b-width-textb-propto-sqrt-textm-c-width-textb-propto-3sqrt-text\/","title":{"rendered":"For beams of uniform strength, if depth is constant, A. Width $${\\text{b}} \\propto {\\text{M}}$$ B. Width $${\\text{b}} \\propto \\sqrt {\\text{M}} $$ C. Width $${\\text{b}} \\propto 3\\sqrt {\\text{M}} $$ D. Width $${\\text{b}} \\propto \\frac{1}{{\\text{M}}}$$"},"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_6a9a6944b4b83\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    Width $${\text{b}} propto {\text{M}}$$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"true\">\r\n                    Width $${\text{b}} propto sqrt {\text{M}} $$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    Width $${\text{b}} propto 3sqrt {\text{M}} $$                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    Width $${\text{b}} propto \frac{1}{{\text{M}}}$$                <\/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: B. Width $${\\text{b}} \\propto \\sqrt {\\text{M}} $$<\/p>\n<p>The width of a beam is proportional to the square root of the bending moment, M. This is because the bending moment is a measure of the force that is trying to bend the beam, and the width of the beam is a measure of its resistance to bending. The greater the bending moment, the greater the force trying to bend the beam, and the greater the width of the beam needed to resist the bending.<\/p>\n<p>The other options are incorrect because they do not take into account the relationship between the bending moment and the width 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   <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>          Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> the beam. Option A states that the width is proportional to the bending moment, but this is not the case. The width is proportional to the square root of the bending moment. Option C states that the width is proportional to three times the square root of the bending moment, but this is also not the case. The width is only proportional to the square root of the bending moment. Option D states that the width is inversely proportional to the bending moment, but this is also not the case. The width is proportional to the square root of the bending moment, not inversely proportional to it.<\/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":[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 beams of uniform strength, if depth is constant, A. Width $${\\text{b}} \\propto {\\text{M}}$$ B. Width $${\\text{b}} \\propto \\sqrt {\\text{M}} $$ C. Width $${\\text{b}} \\propto 3\\sqrt {\\text{M}} $$ D. 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