{"id":1442,"date":"2021-04-19T14:51:18","date_gmt":"2021-04-19T14:51:18","guid":{"rendered":"https:\/\/simed.uniud.it\/?p=1442"},"modified":"2021-04-19T15:01:00","modified_gmt":"2021-04-19T15:01:00","slug":"a-paradoxical-behaviour-embedded-in-winkler-model-for-curved-beams","status":"publish","type":"post","link":"https:\/\/simed.uniud.it\/?p=1442","title":{"rendered":"A paradoxical behaviour embedded in Winkler model for curved beams"},"content":{"rendered":"\n<div class=\"wp-block-media-text alignwide is-stacked-on-mobile\" style=\"grid-template-columns:48% auto\"><figure class=\"wp-block-media-text__media\"><img fetchpriority=\"high\" decoding=\"async\" width=\"889\" height=\"618\" src=\"https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis.png\" alt=\"\" class=\"wp-image-1444 size-full\" srcset=\"https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis.png 889w, https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis-300x209.png 300w, https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis-768x534.png 768w\" sizes=\"(max-width: 889px) 100vw, 889px\" \/><\/figure><div class=\"wp-block-media-text__content\">\n<p style=\"font-size:17px\"><em><em>It is a well known fact that in some mechanical components stresses can be relieved by wisely removing&nbsp;material.&nbsp;As far as beams are concerned, this technique works for straight ones subject to bending, where the zones from which a material removal, from a generic initial cross section, produces a bending stress reduction are farthest from the neutral axis. Recently, it has been shown that curved beams modelled in terms of Winkler theory present the same paradoxical behaviour, provided that the removal occurs close to the neutral axis instead.&nbsp;In this article, the&nbsp;delimiting radii of the grooved zone are analytically determined under mild hypotheses. Finally, an&nbsp;application to the optimization of a crane hook has been developed showing a nontrivial mass reduction and optimal solutions have&nbsp;been confirmed by finite element analysis<\/em><\/em><\/p>\n\n\n\n<div class=\"wp-block-media-text alignwide is-stacked-on-mobile\" style=\"grid-template-columns:21% auto\"><figure class=\"wp-block-media-text__media\"><img decoding=\"async\" width=\"150\" height=\"195\" src=\"https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/JMechEngSci.jpg\" alt=\"\" class=\"wp-image-1443 size-full\"\/><\/figure><div class=\"wp-block-media-text__content\">\n<p class=\"has-small-font-size\"><a href=\"https:\/\/journals.sagepub.com\/doi\/abs\/10.1177\/0954406220924693\" target=\"_blank\" rel=\"noreferrer noopener\">H.M.A. Abdalla, D. Casagrande, A. Strozzi.\u00a0A unified relaxed approach easing the\u00a0practical application of a paradox in\u00a0curved beams. (2020) Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. DOI:10.1177\/0954406220924693<\/a><\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":1444,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"post_formats":[],"guten_post_layout_featured_media_urls":{"full":["https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis.png",889,618,false],"thumbnail":["https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis-150x150.png",150,150,true],"medium":["https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis-300x209.png",300,209,true],"medium_large":["https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis-768x534.png",768,534,true],"large":["https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis.png",889,618,false],"1536x1536":["https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis.png",889,618,false],"2048x2048":["https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis.png",889,618,false],"guten_post_layout_landscape_large":["https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis.png",889,618,false],"guten_post_layout_portrait_large":["https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis.png",889,618,false],"guten_post_layout_square_large":["https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis.png",889,618,false],"guten_post_layout_landscape":["https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis-600x400.png",600,400,true],"guten_post_layout_portrait":["https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis-600x618.png",600,618,true],"guten_post_layout_square":["https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis-600x600.png",600,600,true],"tc-grid-full":["https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis-889x444.png",889,444,true],"tc-grid":["https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis-570x350.png",570,350,true],"tc-thumb":["https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis-270x250.png",270,250,true],"slider-full":["https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis-889x500.png",889,500,true],"slider":["https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis-889x500.png",889,500,true],"tc-sq-thumb":["https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis-510x510.png",510,510,true],"tc-ws-thumb":["https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis.png",889,618,false],"tc-ws-small-thumb":["https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis-528x297.png",528,297,true],"tc-slider-small":["https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis-517x235.png",517,235,true],"awsm_team":["https:\/\/simed.uniud.it\/wp-content\/uploads\/2021\/04\/iis.png",500,348,false]},"_links":{"self":[{"href":"https:\/\/simed.uniud.it\/index.php?rest_route=\/wp\/v2\/posts\/1442"}],"collection":[{"href":"https:\/\/simed.uniud.it\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/simed.uniud.it\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/simed.uniud.it\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/simed.uniud.it\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1442"}],"version-history":[{"count":3,"href":"https:\/\/simed.uniud.it\/index.php?rest_route=\/wp\/v2\/posts\/1442\/revisions"}],"predecessor-version":[{"id":1458,"href":"https:\/\/simed.uniud.it\/index.php?rest_route=\/wp\/v2\/posts\/1442\/revisions\/1458"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/simed.uniud.it\/index.php?rest_route=\/wp\/v2\/media\/1444"}],"wp:attachment":[{"href":"https:\/\/simed.uniud.it\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1442"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/simed.uniud.it\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1442"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/simed.uniud.it\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1442"},{"taxonomy":"post_format","embeddable":true,"href":"https:\/\/simed.uniud.it\/index.php?rest_route=%2Fwp%2Fv2%2Fpost_formats&post=1442"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}