[amp_mcq option1=”$$\\frac{1}{2}$$” option2=”1″ option3=”$$1\\frac{1}{2}$$” option4=”2″ correct=”option1″]<\/p>\n
The correct answer is $\\boxed{\\frac{1}{2}}$.<\/p>\n
The circumferential stress is the stress that acts in a circle around the circumference of the cylinder. The longitudinal stress is the stress that acts along the length of the cylinder.<\/p>\n
The ratio of circumferential stress to longitudinal stress is given by the following equation:<\/p>\n
$$\\frac{\\sigma_c}{\\sigma_l} = \\frac{1 – \\nu}{1 + \\nu}$$<\/p>\n
where $\\nu$ is Poisson’s ratio. Poisson’s ratio is a dimensionless number that describes how much a material contracts in the transverse direction when it is stretched in the longitudinal direction.<\/p>\n
For most materials, Poisson’s ratio is approximately equal to 0.3. Therefore, the ratio of circumferential stress to longitudinal stress is approximately equal to $\\frac{1}{2}$.<\/p>\n
Option A is incorrect because it is the ratio of the longitudinal stress to the circumferential stress. Option B is incorrect because it is the ratio of the circumferential stress to the longitudinal stress for a material with Poisson’s ratio equal to 0. Option C is incorrect because it is the ratio of the circumferential stress to the longitudinal stress for a material with Poisson’s ratio equal to 0.5. Option D is incorrect because it is the ratio of the circumferential stress to the longitudinal stress for a material with Poisson’s ratio equal to 1.<\/p>\n","protected":false},"excerpt":{"rendered":"
[amp_mcq option1=”$$\\frac{1}{2}$$” option2=”1″ option3=”$$1\\frac{1}{2}$$” option4=”2″ 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-5673","post","type-post","status-publish","format-standard","hentry","category-theory-of-structures","no-featured-image-padding"],"yoast_head":"\n