[amp_mcq option1=”$$\\frac{{2\\pi }}{{15}}$$” option2=”$$\\frac{{3\\pi }}{{16}}$$” option3=”$$\\frac{{3\\pi }}{8}$$” option4=”$$\\frac{\\pi }{{16}}$$” correct=”option1″]<\/p>\n
The correct answer is $\\boxed{\\frac{{3\\pi }}{8}}$.<\/p>\n
The section modulus is a measure of the ability of a beam to resist bending. It is defined as the second moment of area of the cross-section divided by the distance from the neutral axis to the extreme fiber.<\/p>\n
The section modulus of a square section of side $B$ is given by:<\/p>\n
$$S_s = \\frac{{B^3}}{12}$$<\/p>\n
The section modulus of a circular section of diameter $D$ is given by:<\/p>\n
$$S_c = \\frac{{\\pi D^3}}{32}$$<\/p>\n
The ratio of the section modulus of a square section of side $B$ and that of a circular section of diameter $D$ is therefore:<\/p>\n
$$\\frac{{S_s}}{{S_c}} = \\frac{{\\frac{{B^3}}{12}}}{{\\frac{{\\pi D^3}}{32}}} = \\frac{{12}}{{\\pi D}} = \\frac{{12}}{{3.14 \\times 2}} = \\frac{{3\\pi }}{8}$$<\/p>\n","protected":false},"excerpt":{"rendered":"
[amp_mcq option1=”$$\\frac{{2\\pi }}{{15}}$$” option2=”$$\\frac{{3\\pi }}{{16}}$$” option3=”$$\\frac{{3\\pi }}{8}$$” option4=”$$\\frac{\\pi }{{16}}$$” correct=”option1″]<\/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-5663","post","type-post","status-publish","format-standard","hentry","category-theory-of-structures","no-featured-image-padding"],"yoast_head":"\n