{"id":161309,"date":"2023-10-25T15:42:58","date_gmt":"2023-10-25T10:12:58","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=161309"},"modified":"2023-10-25T15:42:59","modified_gmt":"2023-10-25T10:12:59","slug":"a-carpenter-glues-a-pair-of-cylindrical-wooden-logs-by-bonding-their-end-faces-at-an-angle-of-q-30-as-shown-in-the-figure","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-carpenter-glues-a-pair-of-cylindrical-wooden-logs-by-bonding-their-end-faces-at-an-angle-of-q-30-as-shown-in-the-figure\/","title":{"rendered":"A carpenter glues a pair of cylindrical wooden logs by bonding their end faces at an angle of\u00a0q = 30\u00b0 as shown in the figure"},"content":{"rendered":"\n<p>Q. A carpenter glues a pair of cylindrical wooden logs by bonding their end faces at an angle of\u00a0q = 30<sup>\u00b0<\/sup> as shown in the figure.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" width=\"713\" height=\"177\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/10\/image-44.png\" alt=\"\" class=\"wp-image-161310\" style=\"aspect-ratio:4.028248587570621;width:393px;height:auto\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/10\/image-44.png 713w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/10\/image-44-300x74.png 300w\" sizes=\"(max-width: 713px) 100vw, 713px\" \/><\/figure>\n\n\n\n<p>The glue used at the interface fails if<\/p>\n\n\n\n<p>Criterion 1: the maximum normal stress exceeds 2.5 MPa. Criterion 2: the maximum shear stress exceeds 1.5 MPa.<\/p>\n\n\n\n<p>Assume that the interface fails before the logs fail. When a uniform tensile stress of 4 MPa is applied, the interface<\/p>\n\n\n\n<p>A. fails only because of criterion 1<\/p>\n\n\n\n<p>B. <span style=\"font-size: inherit; background-color: var(--base-3); color: var(--contrast);\">fails only because of criterion 2<\/span><\/p>\n\n\n\n<p>C. <span style=\"font-size: inherit; background-color: var(--base-3); color: var(--contrast);\">fails because of both criteria 1 and 2<\/span><\/p>\n\n\n\n<p>D. does not fail<\/p>\n\n\n\n<p>Ans: fails because of both criteria 1 and 2<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. A carpenter glues a pair of cylindrical wooden logs by bonding their end faces at an angle of\u00a0q = 30\u00b0 as shown in the figure. The glue used at the interface fails if Criterion 1: the maximum normal stress exceeds 2.5 MPa. Criterion 2: the maximum shear stress exceeds 1.5 MPa. Assume that the [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":161312,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5141],"tags":[],"class_list":["post-161309","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/161309","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=161309"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/161309\/revisions"}],"predecessor-version":[{"id":161311,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/161309\/revisions\/161311"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/161312"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=161309"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=161309"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=161309"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}