{"id":1234,"date":"2022-05-05T20:00:38","date_gmt":"2022-06-24T09:25:34","guid":{"rendered":"https:\/\/experiments.school\/?post_type=product&#038;p=1234"},"modified":"2022-07-01T10:08:09","modified_gmt":"2022-07-01T08:08:09","slug":"023-leonardo-bridge","status":"publish","type":"product","link":"https:\/\/experiments.school\/en\/product\/023-leonardo-bridge\/","title":{"rendered":"023 &#8211; Leonardo Bridge"},"content":{"rendered":"","protected":false},"excerpt":{"rendered":"<h2><strong>Construction of an arch\u00a0\u00a0<\/strong><\/h2>\n<h2><strong>Loadable bridge made of wooden plates<\/strong><\/h2>\n<h2><span data-contrast=\"auto\">Introduction to: <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"><br \/>\n<\/span><\/h2>\n<p><span data-contrast=\"auto\">Braiding, rigid components\u00a0<\/span><span data-contrast=\"auto\">\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n[video width=\"1920\" height=\"1080\" mp4=\"https:\/\/experiments.school\/wp-content\/uploads\/2022\/05\/023-video-2-1.mp4\"][\/video]\n<h2><\/h2>\n<h2><span data-contrast=\"auto\">Material:\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/h2>\n<ul>\n<li><span data-contrast=\"auto\">Popsicle sticks = sticks for ice cream \/ thin plates made of wood.\u00a0\u00a0\u00a0\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li><span data-contrast=\"auto\">commercially available\u00a0\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<\/ul>\n<h2><span data-contrast=\"auto\">\u00a0<\/span><span data-contrast=\"auto\">Instructions:\u00a0\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/h2>\n<ul>\n<li><span data-contrast=\"auto\">\u00a0\u00a0\u00a0 Lay out two sticks as center supports in parallel. Clamp two more sticks as longitudinal beams over the first center beam and under the second center beam.\u00a0\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li><span data-contrast=\"auto\">\u00a0\u00a0\u00a0 Clamp two more stems, mirrored to the last two, between the center beams.\u00a0\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li><span data-contrast=\"auto\">\u00a0\u00a0\u00a0 Add a new center beam so that it clamps the longitudinal members between them with the nearest center beam.\u00a0<\/span><span data-contrast=\"auto\">\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li><span data-contrast=\"auto\">\u00a0\u00a0\u00a0 Add two popsicle sticks lengthwise to reproduce the arrangement from 2.).\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li><span data-contrast=\"auto\">\u00a0\u00a0\u00a0 Step 3 and 4 applied again\u00a0<\/span><span data-contrast=\"auto\">\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li><span data-contrast=\"auto\">\u00a0\u00a0\u00a0 Step 3 and 4 applied again\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<\/ul>\n<h2><span data-contrast=\"auto\">Tips:\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/h2>\n<ul>\n<li><span data-contrast=\"auto\">The bridge can be extended further by adding new sections through steps 3 and 4.\u00a0\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li><span data-contrast=\"auto\">Water increases the frictional force of the wood and thus increases the stability of the structure, and simplifies its construction.\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<\/ul>\n<h2><span data-contrast=\"auto\">Explanation:\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/h2>\n<ul>\n<li><span data-contrast=\"auto\">The type of arrangement causes a balance of forces at each connection of the popsicle sticks to each other.\u00a0\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li><span data-contrast=\"auto\">Through the point of support, the longitudinal beam exerts a supporting force FA perpendicular to its cross section. This force acts at the center of gravity S of the cross member.\u00a0\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li><span data-contrast=\"auto\">The supporting force can be split into a component FG perpendicular to the lower cross member and a component FZ parallel to the member.\u00a0\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li><span data-contrast=\"auto\">The weight force on the beam is compensated by its bearing force FT, thus preventing deflection or even breakage of the beam.\u00a0\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li><span data-contrast=\"auto\">The tensile force on the beam is compensated by the frictional force FR between the longitudinal and transverse beams, thus preventing any possible sliding apart of the beams.\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<li><span data-contrast=\"auto\">Both quantities are material-specific properties.\u00a0\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/li>\n<\/ul>\n<h2><strong>Learning levels:\u00a0\u00a0\u00a0<\/strong><\/h2>\n<p><span data-contrast=\"auto\"><strong>Elementary school:<\/strong>\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><span data-contrast=\"auto\">Try out in teamwork, build (can be designed as a competition); simple understanding of construction, embedding in Leonardo da Vinci context possible.\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><span data-contrast=\"auto\"><strong>Secondary 1:<\/strong>\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><span data-contrast=\"auto\">Comparison: wet, dry stems \u2192 friction force as principle of self-supporting bridge; problem of maximum length with too many construction elements; build and compare different constructions, deepening self-supporting bridge possible.\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><strong>Secondary level 2:\u00a0<\/strong><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><span data-contrast=\"auto\">Drawing of forces on basic element of bridge (1 central beam), Trigonometric calculations of length, height, partial forces,\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><strong>Upper level:\u00a0<\/strong><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><span data-contrast=\"auto\">\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n<p><span data-contrast=\"auto\">Generalization of the formulas for length, height to any number of construction elements, calculation of forces depending on the respective construction element, seminar paper, construction of a large Leonardo bridge made of wooden logs possible.\u00a0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\">\u00a0<\/span><\/p>\n","protected":false},"featured_media":1576,"template":"","meta":[],"product_brand":[],"product_cat":[903,858,879],"product_tag":[],"class_list":{"0":"post-1234","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-1-mass-weight-density-center-of-gravity","7":"product_cat-a-mechanics","8":"product_cat-g-magic-tricks","9":"","10":"woocommerce-text-align-left","11":"woocommerce-image-align-center","13":"first","14":"instock","15":"shipping-taxable","16":"product-type-simple"},"_links":{"self":[{"href":"https:\/\/experiments.school\/en\/wp-json\/wp\/v2\/product\/1234","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/experiments.school\/en\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/experiments.school\/en\/wp-json\/wp\/v2\/types\/product"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/experiments.school\/en\/wp-json\/wp\/v2\/media\/1576"}],"wp:attachment":[{"href":"https:\/\/experiments.school\/en\/wp-json\/wp\/v2\/media?parent=1234"}],"wp:term":[{"taxonomy":"product_brand","embeddable":true,"href":"https:\/\/experiments.school\/en\/wp-json\/wp\/v2\/product_brand?post=1234"},{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/experiments.school\/en\/wp-json\/wp\/v2\/product_cat?post=1234"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/experiments.school\/en\/wp-json\/wp\/v2\/product_tag?post=1234"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}