{"id":1629,"date":"2022-11-01T10:05:29","date_gmt":"2022-11-01T17:05:29","guid":{"rendered":"https:\/\/gantovnik.com\/bio-tips\/?p=1629"},"modified":"2022-11-03T04:36:22","modified_gmt":"2022-11-03T11:36:22","slug":"210-parametric-curve-in-3d-2-2-2-2-2-2-2-2-2-2-2-2-2-3-3-2-2-3-2-3-2-2","status":"publish","type":"post","link":"https:\/\/gantovnik.com\/bio-tips\/2022\/11\/210-parametric-curve-in-3d-2-2-2-2-2-2-2-2-2-2-2-2-2-3-3-2-2-3-2-3-2-2\/","title":{"rendered":"#311 Problem from Strength of Materials: Cylindrical vessel under combined loads"},"content":{"rendered":"<p><a href=\"https:\/\/gantovnik.com\/bio-tips\/2022\/11\/210-parametric-curve-in-3d-2-2-2-2-2-2-2-2-2-2-2-2-2-3-3-2-2-3-2-3-2-2\/ex311\/\" rel=\"attachment wp-att-1630\"><img data-recalc-dims=\"1\" decoding=\"async\" class=\"alignnone size-full wp-image-1630\" src=\"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/11\/ex311.png?resize=1008%2C475&#038;ssl=1\" alt=\"\" width=\"1008\" height=\"475\" srcset=\"https:\/\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/11\/ex311.png 1008w, https:\/\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/11\/ex311-980x462.png 980w, https:\/\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/11\/ex311-480x226.png 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) 1008px, 100vw\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<a href='https:\/\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/11\/ex311.pdf' class='small-button smallblue' target=\"_blank\">Solution<\/a>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; &nbsp;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","_lmt_disableupdate":"yes","_lmt_disable":"","jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[38,51],"tags":[52],"class_list":["post-1629","post","type-post","status-publish","format-standard","hentry","category-engineering","category-strength-of-materials","tag-strength-of-materials"],"modified_by":"gantovnik","jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p8bH0k-qh","jetpack_likes_enabled":true,"jetpack-related-posts":[{"id":1624,"url":"https:\/\/gantovnik.com\/bio-tips\/2022\/10\/210-parametric-curve-in-3d-2-2-2-2-2-2-2-2-2-2-2-2-2-3-3-2-2-3-2-3-2\/","url_meta":{"origin":1629,"position":0},"title":"#310 Problem from Strength of Materials: Modified beam cross-section","author":"gantovnik","date":"2022-10-30","format":false,"excerpt":"\u00a0 \u00a0","rel":"","context":"In &quot;engineering&quot;","block_context":{"text":"engineering","link":"https:\/\/gantovnik.com\/bio-tips\/category\/engineering\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/10\/ex310.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/10\/ex310.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/10\/ex310.png?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/10\/ex310.png?resize=700%2C400&ssl=1 2x"},"classes":[]},{"id":1613,"url":"https:\/\/gantovnik.com\/bio-tips\/2022\/10\/210-parametric-curve-in-3d-2-2-2-2-2-2-2-2-2-2-2-2-2-3-3-2-2-3-2-3\/","url_meta":{"origin":1629,"position":1},"title":"#309 Problem from Strength of Materials: A beam of variable cross-section is stretched by its own weight","author":"gantovnik","date":"2022-10-30","format":false,"excerpt":"\u00a0","rel":"","context":"In &quot;engineering&quot;","block_context":{"text":"engineering","link":"https:\/\/gantovnik.com\/bio-tips\/category\/engineering\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/10\/ex309.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/10\/ex309.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/10\/ex309.png?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/10\/ex309.png?resize=700%2C400&ssl=1 2x"},"classes":[]},{"id":1635,"url":"https:\/\/gantovnik.com\/bio-tips\/2022\/11\/210-parametric-curve-in-3d-2-2-2-2-2-2-2-2-2-2-2-2-2-3-3-2-2-3-2-3-2-2-2\/","url_meta":{"origin":1629,"position":2},"title":"#312 Problem from Strength of Materials: Thermal stresses in stepped rod.","author":"gantovnik","date":"2022-11-03","format":false,"excerpt":"\u00a0 \u00a0","rel":"","context":"In &quot;engineering&quot;","block_context":{"text":"engineering","link":"https:\/\/gantovnik.com\/bio-tips\/category\/engineering\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/11\/ex312.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/11\/ex312.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/11\/ex312.png?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/11\/ex312.png?resize=700%2C400&ssl=1 2x"},"classes":[]},{"id":1666,"url":"https:\/\/gantovnik.com\/bio-tips\/2022\/11\/210-parametric-curve-in-3d-2-2-2-2-2-2-2-2-2-2-2-2-2-3-3-2-2-3-2-3-2-2-2-2\/","url_meta":{"origin":1629,"position":3},"title":"#316 Problem from Strength of Materials: Solution of a boundary value problem in double trigonometric series.","author":"gantovnik","date":"2022-11-11","format":false,"excerpt":"\u00a0","rel":"","context":"In &quot;engineering&quot;","block_context":{"text":"engineering","link":"https:\/\/gantovnik.com\/bio-tips\/category\/engineering\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/11\/ex316.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/11\/ex316.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/11\/ex316.png?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2022\/11\/ex316.png?resize=700%2C400&ssl=1 2x"},"classes":[]},{"id":3036,"url":"https:\/\/gantovnik.com\/bio-tips\/2024\/07\/443-vibration-double-amplitude\/","url_meta":{"origin":1629,"position":4},"title":"#443 Vibration Double Amplitude","author":"gantovnik","date":"2024-07-28","format":false,"excerpt":"\"If you want to find the secrets of the universe, think in terms of energy, frequency, and vibration.\" (Nikola Tesla)","rel":"","context":"In &quot;engineering&quot;","block_context":{"text":"engineering","link":"https:\/\/gantovnik.com\/bio-tips\/category\/engineering\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/07\/ex483_2.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/07\/ex483_2.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/07\/ex483_2.png?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/07\/ex483_2.png?resize=700%2C400&ssl=1 2x"},"classes":[]},{"id":6685,"url":"https:\/\/gantovnik.com\/bio-tips\/2024\/12\/454-what-happens-when-aluminum-is-exposed-to-temperatures-above-400f-204c\/","url_meta":{"origin":1629,"position":5},"title":"#454 What Happens When Aluminum Is Exposed to Temperatures Above 400\u00b0F (204\u00b0C)?","author":"gantovnik","date":"2024-12-13","format":false,"excerpt":"Aluminum is a widely used material known for its lightweight, strength, and versatility. However, its structural properties undergo significant changes when subjected to elevated temperatures. This post will explore what happens to aluminum when exposed to temperatures exceeding 400\u00b0F (204\u00b0C). 1. Loss of Strength (Softening) Aluminum alloys begin to lose\u2026","rel":"","context":"In &quot;aerospace&quot;","block_context":{"text":"aerospace","link":"https:\/\/gantovnik.com\/bio-tips\/category\/aerospace\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"_links":{"self":[{"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/posts\/1629","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/comments?post=1629"}],"version-history":[{"count":0,"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/posts\/1629\/revisions"}],"wp:attachment":[{"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/media?parent=1629"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/categories?post=1629"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/tags?post=1629"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}