{"id":5165,"date":"2021-03-08T15:15:21","date_gmt":"2021-03-08T14:15:21","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=5165"},"modified":"2024-05-01T16:23:06","modified_gmt":"2024-05-01T15:23:06","slug":"how-to-calculate-and-solve-for-youngs-modulus-fracture-mechanics","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/03\/08\/how-to-calculate-and-solve-for-youngs-modulus-fracture-mechanics\/","title":{"rendered":"How to Calculate and Solve for Young’s Modulus | Fracture Mechanics"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents young’s modulus. To calculate young’s modulus, two essential parameters are needed and these parameters are Stress\u00a0<\/strong>and\u00a0Strain.<\/strong><\/p>\n

The formula for calculating young’s modulus:<\/strong><\/h3>\n

Young’s Modulus = Stress<\/sup> \/ Strain<\/sub><\/p>\n

Let’s solve an example;
\nGiven that the stress is 12 and the strain is 6. Find the Young’s modulus?<\/p>\n

This implies that;<\/p>\n

Stress = 12
\nStrain = 6<\/p>\n

Young’s Modulus = Stress<\/sup> \/ Strain<\/sub>
\nSo, Young’s Modulus = 12<\/sup> \/ 6<\/sub>
\nYoung’s Modulus = 2<\/p>\n

Therefore, the\u00a0young’s modulus\u00a0<\/strong>is\u00a02.<\/strong><\/p>\n

Calculating the Stress when the Young’s Modulus and the Strain are Given<\/strong><\/h3>\n

stress = young’s modulus x strain<\/p>\n

Let’s solve an example;
\nFind the stress when the young’s modulus is 32 and the strain is 10.<\/p>\n

This implies that;<\/p>\n

Young’s Modulus = 32
\nStrain = 10<\/p>\n

stress = young’s modulus x strain
\nThat is, stress = 32 x 10
\nstress = 320<\/p>\n

Therefore, the\u00a0stress\u00a0<\/strong>is\u00a0320.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Shear Modulus of Rubber | Fracture Mechanics<\/a><\/p>\n

Calculating the Strain when the Young’s Modulus and the Stress are Given<\/strong><\/h3>\n

strain = stress<\/sup> \/ young’s modulus<\/sub><\/p>\n

Let’s solve an example;
\nFind the strain when the young’s modulus is 20 and the stress is 40.<\/p>\n

This implies that;<\/p>\n

Young’s Modulus = 20
\nStress = 40<\/p>\n

So, strain = stress<\/sup> \/ young’s modulus<\/sub>
\nstrain = 40<\/sup> \/ 20<\/sub>
\nstrain = 2<\/p>\n

Therefore, the\u00a0strain\u00a0<\/strong>is\u00a02.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Shear Modulus | Rock Mechanics<\/a><\/p>\n

How to Calculate Young’s Modulus in Fracture Mechanics Using Nikzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the young’s modulus.<\/p>\n

To get the answer and workings of the young’s modulus using the\u00a0Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n

You can get this app via any of these means:<\/p>\n

Web<\/strong>\u00a0\u2013\u00a0https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n

To get access to the\u00a0professional\u00a0<\/strong>version via web, you need to\u00a0register<\/strong>\u00a0and\u00a0subscribe\u00a0<\/strong>for\u00a0NGN 2,000\u00a0<\/strong>per\u00a0annum<\/strong>\u00a0to have utter access to all functionalities.
\nYou can also try the\u00a0demo\u00a0<\/strong>version via\u00a0https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n

Android (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a>
\nAndroid (Free)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a>
\nApple (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a>
\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0Calculator Map,\u00a0<\/strong>then click on\u00a0Materials and Metallurgical\u00a0<\/b>under\u00a0Engineering<\/strong>.<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on\u00a0Fracture Mechanics\u00a0<\/strong>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on\u00a0Young’s Modulus\u00a0<\/strong>under\u00a0Fracture Mechanics<\/strong><\/p>\n

\"How<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the young’s modulus according to the respective parameters which is the\u00a0Stress\u00a0<\/strong>and\u00a0Strain.<\/strong><\/p>\n

\"\"<\/p>\n

Now, enter the\u00a0<\/span>v<\/span>alue appropriately and accordingly for the parameter as required by the\u00a0Stress\u00a0<\/strong>is\u00a012\u00a0<\/strong>and\u00a0Strain\u00a0<\/strong>is\u00a06.<\/strong><\/span><\/p>\n

\"How<\/p>\n

Finally, Click on Calculate<\/p>\n

\"How<\/p>\n

As you can see from the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the young’s modulus and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents young’s modulus. To calculate young’s modulus, two essential parameters are needed and these parameters…","protected":false},"author":5,"featured_media":14650,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_opengraph-title":"","_yoast_wpseo_opengraph-description":"","_yoast_wpseo_twitter-title":"","_yoast_wpseo_twitter-description":"","_lmt_disableupdate":"","_lmt_disable":"","_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","_yoast_wpseo_focuskw_text_input":"","csco_display_header_overlay":false,"csco_singular_sidebar":"","csco_page_header_type":"","footnotes":"","_members_access_role":[],"_members_access_error":""},"categories":[47],"tags":[60,1469,543,1386,1468,672],"class_list":["post-5165","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-engineering","tag-fracture-mechanics","tag-materials-and-metallurgical","tag-strain","tag-stress","tag-youngs-modulus","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Young's Modulus | Fracture Mechanics<\/title>\n<meta name=\"description\" content=\"Learn the steps and the formula on How to Calculate Young's Modulus | Fracture Mechanics. 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