{"id":312,"date":"2012-11-26T18:06:42","date_gmt":"2012-11-26T18:06:42","guid":{"rendered":"http:\/\/blogs.bath.ac.uk\/structures\/?p=312"},"modified":"2012-11-26T18:06:42","modified_gmt":"2012-11-26T18:06:42","slug":"question-9","status":"publish","type":"post","link":"https:\/\/blogs.bath.ac.uk\/structures\/2012\/11\/26\/question-9\/","title":{"rendered":"Question 9"},"content":{"rendered":"<div style=\"margin: 0px 0px 1.5em;padding: 0px;font-family: Geneva,Arial,Helvetica,sans-serif;font-size: 15.5556px;line-height: normal;text-align: left\"><span style=\"font-family: Geneva, Arial, Helvetica, sans-serif;font-size: 15.555556297302246px;line-height: normal\">The top and bottom chord of the long truss shown below are CHS sections, and each has I = 31x10<\/span><sup>6<\/sup><span style=\"font-family: Geneva, Arial, Helvetica, sans-serif;font-size: 15.555556297302246px;line-height: normal\"> mm<\/span><sup>4<\/sup><span style=\"font-family: Geneva, Arial, Helvetica, sans-serif;font-size: 15.555556297302246px;line-height: normal\"> and A = 6300 mm<\/span><sup>2<\/sup><span style=\"font-family: Geneva, Arial, Helvetica, sans-serif;font-size: 15.555556297302246px;line-height: normal\">. Take E<\/span><sub>steel<\/sub><span style=\"font-family: Geneva, Arial, Helvetica, sans-serif;font-size: 15.555556297302246px;line-height: normal\"><span style=\"font-family: Geneva, Arial, Helvetica, sans-serif\"><span style=\"font-size: 15.555556297302246px;line-height: normal\"> = 200 GPa. All members have the same length of 1m. \u00a0Determine\u00a0the approximate deflection at \u00a0mid-span.<\/span><\/span><\/span><\/div>\n<div style=\"margin: 0px 0px 1.5em;padding: 0px;font-family: Geneva,Arial,Helvetica,sans-serif;font-size: 15.5556px;line-height: normal;text-align: left\"><span style=\"font-family: Geneva, Arial, Helvetica, sans-serif;font-size: 15.555556297302246px;line-height: normal\"><span style=\"font-family: Geneva, Arial, Helvetica, sans-serif\"><span style=\"font-size: 15.555556297302246px;line-height: normal\"><a href=\"http:\/\/bathblogs.wpengine.com\/structures\/wp-content\/uploads\/sites\/51\/2012\/11\/week9-hint.pdf\">HINT: Click here for very brief revision of parallel axis theorem.<\/a><\/span><\/span><\/span><\/div>\n<div style=\"margin: 0px 0px 1.5em;padding: 0px;font-family: Geneva,Arial,Helvetica,sans-serif;font-size: 15.5556px;line-height: normal;text-align: left\"><a href=\"http:\/\/bathblogs.wpengine.com\/structures\/wp-content\/uploads\/sites\/51\/2012\/11\/week9.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-320 alignleft\" src=\"http:\/\/bathblogs.wpengine.com\/structures\/wp-content\/uploads\/sites\/51\/2012\/11\/week9.jpg\" alt=\"week9\" width=\"509\" height=\"229\" srcset=\"https:\/\/blogs.bath.ac.uk\/structures\/wp-content\/uploads\/sites\/51\/2012\/11\/week9.jpg 566w, https:\/\/blogs.bath.ac.uk\/structures\/wp-content\/uploads\/sites\/51\/2012\/11\/week9-300x134.jpg 300w\" sizes=\"auto, (max-width: 509px) 100vw, 509px\" \/><\/a><span style=\"font-size: 15.5556px\"><span style=\"font-family: Geneva, Arial, Helvetica, sans-serif\"><span style=\"font-size: 15.5556px;line-height: normal\">The correct answer is 26mm. The truss can be approximated to a beam. The second moment of Area of the 'beam' <\/span><span style=\"font-size: 15.555556297302246px;line-height: normal\">can be<\/span><span style=\"font-size: 15.5556px;line-height: normal\"> <\/span><span style=\"font-size: 15.555556297302246px;line-height: normal\">determined<\/span><span style=\"font-size: 15.5556px;line-height: normal\"> using <\/span><span style=\"font-size: 15.555556297302246px;line-height: normal\">parallel<\/span><span style=\"font-size: 15.5556px;line-height: normal\"> axis <\/span><span style=\"font-size: 15.555556297302246px;line-height: normal\">theorem<\/span><span style=\"font-size: 15.5556px;line-height: normal\"> allowing standard beam deflection <\/span><span style=\"font-size: 15.555556297302246px;line-height: normal\">equations<\/span><span style=\"font-size: 15.5556px;line-height: normal\"> applied for an approximate answer.<\/span><\/span><\/span><\/div>\n<div style=\"margin: 0px 0px 1.5em;padding: 0px;font-family: Geneva,Arial,Helvetica,sans-serif;font-size: 15.5556px;line-height: normal;text-align: left\"><span style=\"font-size: 15.5556px\"> <\/span><\/div>\n","protected":false},"excerpt":{"rendered":"<p>The top and bottom chord of the long truss shown below are CHS sections, and each has I = 31x106 mm4 and A = 6300 mm2. Take Esteel = 200 GPa. All members have the same length of 1m. \u00a0Determine\u00a0the...<\/p>\n","protected":false},"author":203,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-312","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"acf":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/blogs.bath.ac.uk\/structures\/wp-json\/wp\/v2\/posts\/312","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.bath.ac.uk\/structures\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.bath.ac.uk\/structures\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.bath.ac.uk\/structures\/wp-json\/wp\/v2\/users\/203"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.bath.ac.uk\/structures\/wp-json\/wp\/v2\/comments?post=312"}],"version-history":[{"count":0,"href":"https:\/\/blogs.bath.ac.uk\/structures\/wp-json\/wp\/v2\/posts\/312\/revisions"}],"wp:attachment":[{"href":"https:\/\/blogs.bath.ac.uk\/structures\/wp-json\/wp\/v2\/media?parent=312"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.bath.ac.uk\/structures\/wp-json\/wp\/v2\/categories?post=312"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.bath.ac.uk\/structures\/wp-json\/wp\/v2\/tags?post=312"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}