{"id":668,"date":"2013-10-23T17:33:13","date_gmt":"2013-10-23T16:33:13","guid":{"rendered":"http:\/\/blogs.bath.ac.uk\/structures\/?p=668"},"modified":"2013-10-23T17:33:13","modified_gmt":"2013-10-23T16:33:13","slug":"question-21","status":"publish","type":"post","link":"https:\/\/blogs.bath.ac.uk\/structures\/2013\/10\/23\/question-21\/","title":{"rendered":"Question 21"},"content":{"rendered":"<p style=\"text-align: left\"><a href=\"http:\/\/bathblogs.wpengine.com\/structures\/wp-content\/uploads\/sites\/51\/2013\/10\/question21a.png\"><\/a><\/p>\n<p><a href=\"http:\/\/bathblogs.wpengine.com\/structures\/wp-content\/uploads\/sites\/51\/2013\/10\/question21a.png\"> <\/a><\/p>\n<p style=\"text-align: center\"><a href=\"http:\/\/bathblogs.wpengine.com\/structures\/wp-content\/uploads\/sites\/51\/2013\/10\/question21a.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-672 aligncenter\" src=\"http:\/\/bathblogs.wpengine.com\/structures\/wp-content\/uploads\/sites\/51\/2013\/10\/question21a-300x185.png\" alt=\"question21a\" width=\"300\" height=\"185\" srcset=\"https:\/\/blogs.bath.ac.uk\/structures\/wp-content\/uploads\/sites\/51\/2013\/10\/question21a-300x185.png 300w, https:\/\/blogs.bath.ac.uk\/structures\/wp-content\/uploads\/sites\/51\/2013\/10\/question21a-1024x631.png 1024w, https:\/\/blogs.bath.ac.uk\/structures\/wp-content\/uploads\/sites\/51\/2013\/10\/question21a.png 1086w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>For the statically determinate truss shown above determine the displacement at the point E (in mm).<\/p>\n<p><span style=\"font-size: 13px\">Assume all members have the same EA= 10^5 kN and L=4m<\/span><\/p>\n<p><span style=\"font-size: 13px\">You can solve this simple problem using virtual work. Firstly you must determine the forces in the truss (its determinate so just use statics once you have the reactions). Then find the forces in the truss \u00a0caused by a unit load placed at the posit where ewe want to know the deflection (E).<\/span><\/p>\n<p>Multiple the two set of forces together for each member (L\/EA) and sum! You should get a displacement at E of 2.1mm - <a href=\"http:\/\/bathblogs.wpengine.com\/structures\/wp-content\/uploads\/sites\/51\/2013\/11\/question21solution1.pdf\">SOLUTION<\/a><\/p>\n<h1 style=\"margin: 0px;padding: 0px 0px 1em;border: 0px;font-size: 1.3em;font-family: Arial, sans-serif;line-height: normal\">\n<div id=\"_mcePaste\" style=\"width: 1px;height: 1px;overflow: hidden\">For the statically determinate truss shown above determine the displacement at the point E (in mm).<\/div>\n<div id=\"_mcePaste\" style=\"width: 1px;height: 1px;overflow: hidden\">Assume all members have the same EA.<\/div>\n<div id=\"_mcePaste\" style=\"width: 1px;height: 1px;overflow: hidden\">You can solve this simple problem using virtual work. Firstly you must determine the forces in the truss (its determinate so just use statics once you have the reactions). Then find the forces in the truss \u00a0caused by a unit load placed at the posit where ewe want to know the deflection (E).<\/div>\n<div id=\"_mcePaste\" style=\"width: 1px;height: 1px;overflow: hidden\">Multiple the two set of forces together for each member (L\/EA) and sum!<\/div>\n<\/h1>\n<p style=\"text-align: center\"><a href=\"http:\/\/bathblogs.wpengine.com\/structures\/wp-content\/uploads\/sites\/51\/2013\/10\/question21a.png\"><\/a><\/p>\n<p style=\"text-align: center\">\n","protected":false},"excerpt":{"rendered":"<p>For the statically determinate truss shown above determine the displacement at the point E (in mm). Assume all members have the same EA= 10^5 kN and L=4m You can solve this simple problem using virtual work. Firstly you must determine...<\/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-668","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\/668","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=668"}],"version-history":[{"count":0,"href":"https:\/\/blogs.bath.ac.uk\/structures\/wp-json\/wp\/v2\/posts\/668\/revisions"}],"wp:attachment":[{"href":"https:\/\/blogs.bath.ac.uk\/structures\/wp-json\/wp\/v2\/media?parent=668"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.bath.ac.uk\/structures\/wp-json\/wp\/v2\/categories?post=668"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.bath.ac.uk\/structures\/wp-json\/wp\/v2\/tags?post=668"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}