{"id":1350,"date":"2021-01-04T15:29:01","date_gmt":"2021-01-04T15:29:01","guid":{"rendered":"https:\/\/pickedshares.com\/?p=1350"},"modified":"2021-06-03T08:44:53","modified_gmt":"2021-06-03T08:44:53","slug":"beam-calculator-central-force","status":"publish","type":"post","link":"https:\/\/pickedshares.com\/en\/beam-calculator-central-force\/","title":{"rendered":"Beam calculator - central load"},"content":{"rendered":"\n<p>This is a free beam calculator, to be used to determine the deflection of a beam under central load. The beam is on a <a href=\"https:\/\/pickedshares.com\/en\/reaction-forces-in-bearings-joints-and-guidances\/\">fixed bearing and a floating bearing<\/a>, the load is located in the middle.<\/p>\n\n\n\n<!--noptimize-->\n<script>\n\/\/ define language and case\nbcase = 1;\nlang = \"en\";\n<\/script>\n<script src=\"https:\/\/pickedshares.com\/wp-content\/themes\/gp_child\/custom\/bender\/bender_labels.js\"><\/script>\n\n<script src=\"https:\/\/ajax.googleapis.com\/ajax\/libs\/jquery\/3.5.1\/jquery.min.js\"><\/script>\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/chart.js@2.9.4\/dist\/Chart.min.js\"><\/script>\n<script src=\"https:\/\/pickedshares.com\/wp-content\/themes\/gp_child\/custom\/bender\/bender_frontend.js\"><\/script>\n\n\n\n<!--\/noptimize-->\n\n\n\n<h2 class=\"wp-block-heading\">Some notes<\/h2>\n\n\n\n<p>Two tips and examples for converting units for the modulus of elasticity and the geometrical moment of inertia.<\/p>\n\n\n\n<p>The E-Modulus of steel is 210000 N\/mm\u00b2 respectively 210 GPa.<\/p>\n\n\n\n<p>The area moment of inertia for an IPB-beam with a flange width of 100 mm according DIN 1025 is I<sub>y<\/sub> = 167 cm<sup>4<\/sup>, this equals 1670000 mm<sup>4<\/sup>.<\/p>\n\n\n\n<p>The deflection is calculated on the basis of the <a href=\"https:\/\/ocw.mit.edu\/courses\/mechanical-engineering\/2-002-mechanics-and-materials-ii-spring-2004\/lecture-notes\/lec2.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Bernoulli beam deflection<\/a>.<\/p>\n\n\n\n<p>If you are looking for section properties of I-beams, H-beams or similiar, try out the <a href=\"https:\/\/pickedshares.com\/en\/profile-assistent\/\">Profile Assistant<\/a>. Or you can use the <a href=\"https:\/\/pickedshares.com\/en\/category\/tools-en\/sections\/\">online calculation tools for mechanical properties of sections<\/a>.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Example calculation<\/h2>\n\n\n\n<p>If we want to find the maximum acceptable load on the IPB section mentioned above, we can use the \"deflection calculator for central load\" to get the value by iteration (two steps). Let's assume we want to allow a maximum deflection of l\/200 and our beam length is l = 3000 mm. This means we have a maximum deflection of 15 mm.<\/p>\n\n\n\n<p>The first approach is to type in the geometrical values and a guessed load of F = 1000 N. The result is a deflection of 1.60 mm. To get the maximum load we use the rule of three: 15 mm \/ 1.60 mm * 1000 N = 9375 N. <\/p>\n\n\n\n<p>If we do the calculation again with the maximum load, the deflection calcutor gives a result of 15.04 mm. That's close enough!<\/p>\n","protected":false},"excerpt":{"rendered":"<p> ... <a title=\"Beam calculator - central load\" class=\"read-more\" href=\"https:\/\/pickedshares.com\/en\/beam-calculator-central-force\/\" aria-label=\"Read more about Beam calculator - central load\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":1330,"comment_status":"closed","ping_status":"open","sticky":false,"template":"template_bender.php","format":"standard","meta":{"footnotes":""},"categories":[64,54],"tags":[],"class_list":["post-1350","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-beam-calculators","category-tools-en","infinite-scroll-item","masonry-post","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-33"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Deflection calculator for central load &#8226; Engineering Mechanics<\/title>\n<meta name=\"description\" content=\"This is a bending moment and deflection calculator for central load, the beam is on two supports. Based on the Bernoulli beam theory.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/pickedshares.com\/en\/beam-calculator-central-force\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Deflection calculator for central load &#8226; Engineering Mechanics\" \/>\n<meta property=\"og:description\" content=\"This is a bending moment and deflection calculator for central load, the beam is on two supports. Based on the Bernoulli beam theory.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/pickedshares.com\/en\/beam-calculator-central-force\/\" \/>\n<meta property=\"og:site_name\" content=\"pickedshares\" \/>\n<meta property=\"article:published_time\" content=\"2021-01-04T15:29:01+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-06-03T08:44:53+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/01\/case1-1.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1637\" \/>\n\t<meta property=\"og:image:height\" content=\"877\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"admin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:image\" content=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/01\/case1-1.png\" \/>\n<meta name=\"twitter:creator\" content=\"@pickedshares\" \/>\n<meta name=\"twitter:site\" content=\"@pickedshares\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/beam-calculator-central-force\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/beam-calculator-central-force\\\/\"},\"author\":{\"name\":\"admin\",\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/#\\\/schema\\\/person\\\/6c617a6a61de9623da53f74a56810033\"},\"headline\":\"Beam calculator - central load\",\"datePublished\":\"2021-01-04T15:29:01+00:00\",\"dateModified\":\"2021-06-03T08:44:53+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/beam-calculator-central-force\\\/\"},\"wordCount\":258,\"publisher\":{\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/beam-calculator-central-force\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/pickedshares.com\\\/wp-content\\\/uploads\\\/2021\\\/01\\\/case1-1.png\",\"articleSection\":[\"Beam calculators\",\"Tools\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/beam-calculator-central-force\\\/\",\"url\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/beam-calculator-central-force\\\/\",\"name\":\"Deflection calculator for central load &#8226; Engineering Mechanics\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/beam-calculator-central-force\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/beam-calculator-central-force\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/pickedshares.com\\\/wp-content\\\/uploads\\\/2021\\\/01\\\/case1-1.png\",\"datePublished\":\"2021-01-04T15:29:01+00:00\",\"dateModified\":\"2021-06-03T08:44:53+00:00\",\"description\":\"This is a bending moment and deflection calculator for central load, the beam is on two supports. Based on the Bernoulli beam theory.\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/beam-calculator-central-force\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/pickedshares.com\\\/en\\\/beam-calculator-central-force\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/beam-calculator-central-force\\\/#primaryimage\",\"url\":\"https:\\\/\\\/pickedshares.com\\\/wp-content\\\/uploads\\\/2021\\\/01\\\/case1-1.png\",\"contentUrl\":\"https:\\\/\\\/pickedshares.com\\\/wp-content\\\/uploads\\\/2021\\\/01\\\/case1-1.png\",\"width\":1637,\"height\":877,\"caption\":\"Beam on two supports with central load\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/beam-calculator-central-force\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Start\",\"item\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Tools\",\"item\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/category\\\/tools-en\\\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Beam calculators\",\"item\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/category\\\/tools-en\\\/beam-calculators\\\/\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"Beam calculator &#8211; central load\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/#website\",\"url\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/\",\"name\":\"pickedshares\",\"description\":\"Engineering Design, Project Management, Tools and Exercises\",\"publisher\":{\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/#organization\",\"name\":\"pickedshares.com\",\"url\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"\",\"contentUrl\":\"\",\"caption\":\"pickedshares.com\"},\"image\":{\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/x.com\\\/pickedshares\",\"https:\\\/\\\/www.instagram.com\\\/pickedshares\\\/\",\"https:\\\/\\\/www.youtube.com\\\/channel\\\/UCSh8qo2-6dhtbZqSLStt3Rg\"]},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/#\\\/schema\\\/person\\\/6c617a6a61de9623da53f74a56810033\",\"name\":\"admin\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/948d17e3c131a29d2f00c792d96bb1899342a69d8ccda0673ef9089a0988b3bd?s=96&d=mm&r=g\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/948d17e3c131a29d2f00c792d96bb1899342a69d8ccda0673ef9089a0988b3bd?s=96&d=mm&r=g\",\"contentUrl\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/948d17e3c131a29d2f00c792d96bb1899342a69d8ccda0673ef9089a0988b3bd?s=96&d=mm&r=g\",\"caption\":\"admin\"},\"sameAs\":[\"https:\\\/\\\/pickedshares.com\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Deflection calculator for central load &#8226; Engineering Mechanics","description":"This is a bending moment and deflection calculator for central load, the beam is on two supports. Based on the Bernoulli beam theory.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/pickedshares.com\/en\/beam-calculator-central-force\/","og_locale":"en_US","og_type":"article","og_title":"Deflection calculator for central load &#8226; Engineering Mechanics","og_description":"This is a bending moment and deflection calculator for central load, the beam is on two supports. Based on the Bernoulli beam theory.","og_url":"https:\/\/pickedshares.com\/en\/beam-calculator-central-force\/","og_site_name":"pickedshares","article_published_time":"2021-01-04T15:29:01+00:00","article_modified_time":"2021-06-03T08:44:53+00:00","og_image":[{"width":1637,"height":877,"url":"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/01\/case1-1.png","type":"image\/png"}],"author":"admin","twitter_card":"summary_large_image","twitter_image":"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/01\/case1-1.png","twitter_creator":"@pickedshares","twitter_site":"@pickedshares","twitter_misc":{"Written by":"admin","Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/pickedshares.com\/en\/beam-calculator-central-force\/#article","isPartOf":{"@id":"https:\/\/pickedshares.com\/en\/beam-calculator-central-force\/"},"author":{"name":"admin","@id":"https:\/\/pickedshares.com\/en\/#\/schema\/person\/6c617a6a61de9623da53f74a56810033"},"headline":"Beam calculator - central load","datePublished":"2021-01-04T15:29:01+00:00","dateModified":"2021-06-03T08:44:53+00:00","mainEntityOfPage":{"@id":"https:\/\/pickedshares.com\/en\/beam-calculator-central-force\/"},"wordCount":258,"publisher":{"@id":"https:\/\/pickedshares.com\/en\/#organization"},"image":{"@id":"https:\/\/pickedshares.com\/en\/beam-calculator-central-force\/#primaryimage"},"thumbnailUrl":"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/01\/case1-1.png","articleSection":["Beam calculators","Tools"],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/pickedshares.com\/en\/beam-calculator-central-force\/","url":"https:\/\/pickedshares.com\/en\/beam-calculator-central-force\/","name":"Deflection calculator for central load &#8226; Engineering Mechanics","isPartOf":{"@id":"https:\/\/pickedshares.com\/en\/#website"},"primaryImageOfPage":{"@id":"https:\/\/pickedshares.com\/en\/beam-calculator-central-force\/#primaryimage"},"image":{"@id":"https:\/\/pickedshares.com\/en\/beam-calculator-central-force\/#primaryimage"},"thumbnailUrl":"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/01\/case1-1.png","datePublished":"2021-01-04T15:29:01+00:00","dateModified":"2021-06-03T08:44:53+00:00","description":"This is a bending moment and deflection calculator for central load, the beam is on two supports. Based on the Bernoulli beam theory.","breadcrumb":{"@id":"https:\/\/pickedshares.com\/en\/beam-calculator-central-force\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/pickedshares.com\/en\/beam-calculator-central-force\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/pickedshares.com\/en\/beam-calculator-central-force\/#primaryimage","url":"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/01\/case1-1.png","contentUrl":"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/01\/case1-1.png","width":1637,"height":877,"caption":"Beam on two supports with central load"},{"@type":"BreadcrumbList","@id":"https:\/\/pickedshares.com\/en\/beam-calculator-central-force\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Start","item":"https:\/\/pickedshares.com\/en\/"},{"@type":"ListItem","position":2,"name":"Tools","item":"https:\/\/pickedshares.com\/en\/category\/tools-en\/"},{"@type":"ListItem","position":3,"name":"Beam calculators","item":"https:\/\/pickedshares.com\/en\/category\/tools-en\/beam-calculators\/"},{"@type":"ListItem","position":4,"name":"Beam calculator &#8211; central load"}]},{"@type":"WebSite","@id":"https:\/\/pickedshares.com\/en\/#website","url":"https:\/\/pickedshares.com\/en\/","name":"pickedshares","description":"Engineering Design, Project Management, Tools and Exercises","publisher":{"@id":"https:\/\/pickedshares.com\/en\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/pickedshares.com\/en\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/pickedshares.com\/en\/#organization","name":"pickedshares.com","url":"https:\/\/pickedshares.com\/en\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/pickedshares.com\/en\/#\/schema\/logo\/image\/","url":"","contentUrl":"","caption":"pickedshares.com"},"image":{"@id":"https:\/\/pickedshares.com\/en\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/x.com\/pickedshares","https:\/\/www.instagram.com\/pickedshares\/","https:\/\/www.youtube.com\/channel\/UCSh8qo2-6dhtbZqSLStt3Rg"]},{"@type":"Person","@id":"https:\/\/pickedshares.com\/en\/#\/schema\/person\/6c617a6a61de9623da53f74a56810033","name":"admin","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/secure.gravatar.com\/avatar\/948d17e3c131a29d2f00c792d96bb1899342a69d8ccda0673ef9089a0988b3bd?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/948d17e3c131a29d2f00c792d96bb1899342a69d8ccda0673ef9089a0988b3bd?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/948d17e3c131a29d2f00c792d96bb1899342a69d8ccda0673ef9089a0988b3bd?s=96&d=mm&r=g","caption":"admin"},"sameAs":["https:\/\/pickedshares.com"]}]}},"_links":{"self":[{"href":"https:\/\/pickedshares.com\/en\/wp-json\/wp\/v2\/posts\/1350","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pickedshares.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pickedshares.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pickedshares.com\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/pickedshares.com\/en\/wp-json\/wp\/v2\/comments?post=1350"}],"version-history":[{"count":15,"href":"https:\/\/pickedshares.com\/en\/wp-json\/wp\/v2\/posts\/1350\/revisions"}],"predecessor-version":[{"id":5679,"href":"https:\/\/pickedshares.com\/en\/wp-json\/wp\/v2\/posts\/1350\/revisions\/5679"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/pickedshares.com\/en\/wp-json\/wp\/v2\/media\/1330"}],"wp:attachment":[{"href":"https:\/\/pickedshares.com\/en\/wp-json\/wp\/v2\/media?parent=1350"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pickedshares.com\/en\/wp-json\/wp\/v2\/categories?post=1350"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pickedshares.com\/en\/wp-json\/wp\/v2\/tags?post=1350"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}