{"id":26611,"date":"2024-07-23T19:41:46","date_gmt":"2024-07-23T17:41:46","guid":{"rendered":"https:\/\/www.linseis.com\/measured-variables\/youngs-modulus\/"},"modified":"2024-12-11T15:26:32","modified_gmt":"2024-12-11T14:26:32","slug":"youngs-modulus","status":"publish","type":"page","link":"https:\/\/www.linseis.com\/en\/properties\/youngs-modulus\/","title":{"rendered":"Young\u00b4s modulus"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"26611\" class=\"elementor elementor-26611 elementor-18718\" data-elementor-post-type=\"page\">\n\t\t\t\t<div class=\"elementor-element elementor-element-a3549cf e-flex e-con-boxed e-con e-parent\" data-id=\"a3549cf\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-ac41c94 elementor-widget elementor-widget-image\" data-id=\"ac41c94\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/\/linseis_scale-top-1.svg\" title=\"\" alt=\"\" loading=\"lazy\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-a7b7feb e-con-full e-flex e-con e-child\" data-id=\"a7b7feb\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-6100945 e-con-full e-flex e-con e-child\" data-id=\"6100945\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-cc1182c elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"cc1182c\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;,&quot;_animation_delay&quot;:250}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\"><b>Young\u00b4s modulus<\/b><\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-6d91a43 e-con-full e-flex e-con e-child\" data-id=\"6d91a43\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-d7d34fa elementor-widget__width-initial elementor-invisible elementor-widget elementor-widget-image\" data-id=\"d7d34fa\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"800\" height=\"800\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_Elastizitaetsmodul-1024x1024.png\" class=\"attachment-large size-large wp-image-21909\" alt=\"\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_Elastizitaetsmodul-1024x1024.png 1024w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_Elastizitaetsmodul-300x300.png 300w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_Elastizitaetsmodul-150x150.png 150w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_Elastizitaetsmodul-768x768.png 768w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_Elastizitaetsmodul-1536x1536.png 1536w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Linseis-Icons_Linien-weiss_Elastizitaetsmodul-2048x2048.png 2048w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b4a6800 elementor-widget elementor-widget-image\" data-id=\"b4a6800\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/\/linseis_scale-bottom-1.svg\" title=\"\" alt=\"\" loading=\"lazy\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-7c8d6cc e-flex e-con-boxed e-con e-parent\" data-id=\"7c8d6cc\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-d7b7522 e-flex e-con-boxed e-con e-parent\" data-id=\"d7b7522\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-449b6fd e-con-full e-flex e-con e-child\" data-id=\"449b6fd\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-031217d elementor-invisible elementor-widget elementor-widget-wp-widget-bcn_widget\" data-id=\"031217d\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInUp&quot;}\" data-widget_type=\"wp-widget-bcn_widget.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"breadcrumbs\" vocab=\"https:\/\/schema.org\/\" typeof=\"BreadcrumbList\"><span property=\"itemListElement\" typeof=\"ListItem\"><a property=\"item\" typeof=\"WebPage\" title=\"Go to Linseis.\" href=\"https:\/\/www.linseis.com\/en\/\" class=\"home\" aria-current=\"page\"><span property=\"name\">Linseis<\/span><\/a><meta property=\"position\" content=\"1\"><\/span><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-ed98f58 e-flex e-con-boxed e-con e-parent\" data-id=\"ed98f58\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-bbc47b3 e-con-full e-flex e-con e-child\" data-id=\"bbc47b3\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-71a1ec4 elementor-widget elementor-widget-text-editor\" data-id=\"71a1ec4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>The Young&#8217;s modulus is a frequently required material parameter in the static calculation of components. If a tensile force acts on a solid body, it reacts with a change in length. Inner forces are created in the body, which reverse the change in length as soon as the external pulling force ceases. If the size of the tensile force lies below a material-dependent limit value, the force and change in length are proportional to one another. This relationship is known as Hooke\u2019s Law.<\/p><p>\u00a0<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-32d9053 elementor-widget elementor-widget-text-editor\" data-id=\"32d9053\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>In order to achieve comparable results, the tensile force is related to the cross-sectional area of the unloaded component. The quotient of force and cross section is the tension.<\/p>\n<p>The change in length is related to the length of the unloaded component for the same reason. The quotient of the length increase and the original length is the elongation.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-8801439 e-flex e-con-boxed e-con e-parent\" data-id=\"8801439\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-4fda86f e-con-full e-flex e-con e-child\" data-id=\"4fda86f\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-fe6d621 elementor-widget elementor-widget-text-editor\" data-id=\"fe6d621\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2>What is the Young\u00b4s modulus?<\/h2><p>Young\u2019s modulus, or the Young modulus, is a mechanical property that measures the stiffness of a solid material.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-34d74a1 elementor-widget elementor-widget-text-editor\" data-id=\"34d74a1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>It defines the relationship between stress (force per unit area) and strain (proportional deformation) in a material in the linear elasticity regime of a uniaxial deformation. The value is given in the unit of measure N \/ m\u00b2.<\/p>\n<p>This unit of measurement is mathematically consistent with the unit of measure\u00a0Pascal\u00a0used for the physical size of pressure. In some tables, this unit of measurement is also used for the modulus of elasticity.<\/p>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-aed7062 e-flex e-con-boxed elementor-invisible e-con e-parent\" data-id=\"aed7062\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;animation&quot;:&quot;fadeInUp&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-aae54ad elementor-widget elementor-widget-image\" data-id=\"aae54ad\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"800\" height=\"382\" src=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Dehnung-von-Kabeln-1024x489.png\" class=\"attachment-large size-large wp-image-18620\" alt=\"Dehnung von Kabeln\" srcset=\"https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Dehnung-von-Kabeln-1024x489.png 1024w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Dehnung-von-Kabeln-300x143.png 300w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Dehnung-von-Kabeln-768x366.png 768w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Dehnung-von-Kabeln-1536x733.png 1536w, https:\/\/www.linseis.com\/wp-content\/uploads\/2024\/07\/Dehnung-von-Kabeln.png 1920w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-50adb82 e-flex e-con-boxed e-con e-parent\" data-id=\"50adb82\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-cad4e8f e-con-full e-flex e-con e-child\" data-id=\"cad4e8f\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-91cf7c6 elementor-widget elementor-widget-text-editor\" data-id=\"91cf7c6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\tThe determination of the modulus of elasticity takes place in the context of a tensile test. In the tensile test, a specimen is loaded with precisely defined dimensions by a growing tensile force until the specimen tears. The result is a characteristic of the material stress-strain diagram. From the curve in this diagram, the modulus of elasticity and the tensile strength can be calculated. Further characteristics are the elastic limit, the elongation at break and the fracture constriction.\r\n\r\n&nbsp;\r\n\r\n&nbsp;\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4c217b5 elementor-widget elementor-widget-text-editor\" data-id=\"4c217b5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>The conditions for the tensile test are specified in different standards for the different material groups. It is taken into account that, for example, metals, plastics, adhesives or textile fibers react differently to tensile stresses.<\/p><p>\u00a0<\/p><p>International standards:<\/p><p><a href=\"https:\/\/www.astm.org\/e0111-17.html\" target=\"_blank\" rel=\"noopener\"><strong>ASTM E111 \u2013 17 Standard Test Method for Young\u2019s Modulus, Tangent Modulus, and Chord Modulu<\/strong><\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e1f00b9 elementor-widget elementor-widget-text-editor\" data-id=\"e1f00b9\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>&nbsp;<\/p>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b17a273 elementor-widget elementor-widget-shortcode\" data-id=\"b17a273\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"shortcode.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-shortcode\"><script type=\"application\/ld+json\">{  \"@context\": \"https:\/\/schema.org\",  \"@type\": \"FAQPage\",  \"mainEntity\": [{    \"@type\": \"Question\",    \"name\": \"Was ist der Elastizit\u00e4tsmodul?\",    \"acceptedAnswer\": {      \"@type\": \"Answer\",      \"text\": \"Der Elastizit\u00e4tsmodul (E-Modul) ist eine Kenngr\u00f6\u00dfe, die die Steifigkeit eines Materials beschreibt. Er gibt an, wie ein Material auf eine \u00e4u\u00dfere Zugkraft mit einer L\u00e4ngen\u00e4nderung reagiert.Hookesches Gesetz: Das Hookesche Gesetz bildet die Grundlage und besagt, dass die Dehnung in einem Material proportional zur angelegten Spannung ist, solange der Elastizit\u00e4tsgrenzwert nicht \u00fcberschritten wird.\"    }  },{    \"@type\": \"Question\",    \"name\": \"Was ist das Spannungs-Dehnungs Verh\u00e4ltnis?\",    \"acceptedAnswer\": {      \"@type\": \"Answer\",      \"text\": \"Spannung-Dehnung-Verh\u00e4ltnis:Das Verh\u00e4ltnis von Spannung zu Dehnung im elastischen Bereich eines Materials ist entscheidend f\u00fcr das Verst\u00e4ndnis seiner mechanischen Eigenschaften.Formel: E-Modul (E) = \u03c3 \/ \u03b5Dabei ist:\u03c3 = Spannung\u03b5 = DehnungEinheit: Der E-Modul wird in Newton pro Quadratmeter (N\/m\u00b2) oder Pascal (Pa) ausgedr\u00fcckt, was konsistent mit der Einheit f\u00fcr Druck ist.\"    }  },{    \"@type\": \"Question\",    \"name\": \"Wie wird E-Modul bestimmt?\",    \"acceptedAnswer\": {      \"@type\": \"Answer\",      \"text\": \"Zugversuch: Der E-Modul wird typischerweise durch einen standardisierten Zugversuch bestimmt, bei dem ein Material bis zu seinem Bruchpunkt belastet wird.Spannungs-Dehnungs-Diagramm: Aus dem linearen Teil des Spannungs-Dehnungs-Diagramms, der das Hookesche Gesetz darstellt, wird der E-Modul abgelesen.\"    }  }]}<\/script><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Young\u00b4s modulus The Young&#8217;s modulus is a frequently required material parameter in the static calculation of components. If a tensile force acts on a solid body, it reacts with a change in length. Inner forces are created in the body, which reverse the change in length as soon as the external pulling force ceases. If [&hellip;]<\/p>\n","protected":false},"author":5,"featured_media":0,"parent":26209,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"class_list":["post-26611","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.linseis.com\/en\/wp-json\/wp\/v2\/pages\/26611","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.linseis.com\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.linseis.com\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/en\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/en\/wp-json\/wp\/v2\/comments?post=26611"}],"version-history":[{"count":0,"href":"https:\/\/www.linseis.com\/en\/wp-json\/wp\/v2\/pages\/26611\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/www.linseis.com\/en\/wp-json\/wp\/v2\/pages\/26209"}],"wp:attachment":[{"href":"https:\/\/www.linseis.com\/en\/wp-json\/wp\/v2\/media?parent=26611"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}