{"id":5174,"date":"2021-03-08T15:48:13","date_gmt":"2021-03-08T14:48:13","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=5174"},"modified":"2024-04-29T21:58:26","modified_gmt":"2024-04-29T20:58:26","slug":"how-to-calculate-and-solve-for-resiliency-fracture-mechanics","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/03\/08\/how-to-calculate-and-solve-for-resiliency-fracture-mechanics\/","title":{"rendered":"How to Calculate and Solve for Resiliency | Fracture Mechanics"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents resiliency. To calculate resiliency, two essential parameters are needed and these parameters are Maximum Stress (\u03c3max<\/sub>)<\/strong> and\u00a0Young’s Modulus of Elasticity (E).<\/strong><\/p>\n

The formula for calculating resiliency:<\/strong><\/h3>\n

R = \u03c3max<\/sub>\u00b2<\/sup> \/ 2E<\/sub><\/p>\n

Where:<\/p>\n

R = Resiliency
\n\u03c3max<\/sub> = Maximum Stress
\nE = Young’s Modulus of Elasticity<\/p>\n

Let’s solve an example;
\nFind the resiliency when the maximum stress is 32 and the young’s modulus of elasticity is 12.<\/p>\n

This implies that;<\/p>\n

\u03c3max<\/sub> = Maximum Stress = 32
\nE = Young’s Modulus of Elasticity = 12<\/p>\n

R = \u03c3max<\/sub>\u00b2<\/sup> \/ 2E<\/sub>
\nThat is, R = 32\u00b2<\/sup> \/ 2(12)<\/sub>
\nR = 1024<\/sup> \/ 24<\/sub>
\nR = 42.67<\/p>\n

Therefore, the\u00a0resiliency\u00a0<\/strong>is\u00a042.67 Pa.<\/strong><\/p>\n

Calculating the Maximum Stress when the Resiliency and the Young’s Modulus of Elasticity are Given<\/strong><\/h3>\n

\u03c3max<\/sub>\u00a0= \u221a<\/b>R x 2E<\/p>\n

Where;<\/p>\n

\u03c3max<\/sub> = Maximum Stress
\nR = Resiliency
\nE = Young’s Modulus of Elasticity<\/p>\n

Let’s solve an example;
\nFind the maximum stress when the resiliency is 15 and the young’s modulus of elasticity is 3.<\/p>\n

This implies that;<\/p>\n

R = Resiliency = 15
\nE = Young’s Modulus of Elasticity = 3<\/p>\n

\u03c3max<\/sub>\u00a0= \u221a<\/b>R x 2E
\nThen, \u03c3max<\/sub>\u00a0= \u221a<\/b>15 x 2 x 3
\n\u03c3max<\/sub>\u00a0= \u221a<\/b>90
\n\u03c3max<\/sub>\u00a0=\u00a09.48<\/p>\n

Therefore, the\u00a0maximum stress\u00a0<\/strong>is\u00a09.48.<\/strong><\/p>\n

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

Calculating the Young’s Modulus of Elasticity when the Resiliency and the Maximum Stress are Given<\/strong><\/h3>\n

E = \u03c3max\u00b2<\/sup> \/ R X 2<\/sub><\/p>\n

Where;<\/p>\n

E = Young’s Modulus of Elasticity
\nR = Resiliency
\n\u03c3max<\/sub> = Maximum Stress<\/p>\n

Let’s solve an example;
\nFind the young’s modulus of elasticity when the resiliency is 18 and the maximum stress is 48.<\/p>\n

This implies that;<\/p>\n

R = Resiliency = 18
\n\u03c3max<\/sub> = Maximum Stress = 48<\/p>\n

E = \u03c3max\u00b2<\/sup> \/ R X 2<\/sub>
\nThat is, E = 48\u00b2<\/sup> \/ 18 X 2<\/sub>
\nE = 2304<\/sup> \/ 36<\/sub>
\nE = 64<\/p>\n

Therefore, the\u00a0young’s modulus of elasticity\u00a0<\/strong>is\u00a064.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Young’s Modulus | Fracture Mechanics<\/a><\/p>\n

How to Calculate Resiliency With Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013 The Calculator Encyclopedia<\/strong> is capable of calculating the resiliency.<\/p>\n

To get the answer and workings of the resiliency 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\u00a0Resiliency\u00a0<\/strong>under\u00a0Fracture Mechanics<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the resiliency according to the respective parameters which is the Maximum Stress (\u03c3max<\/sub>)<\/strong> and\u00a0Young’s Modulus of Elasticity (E).<\/strong><\/p>\n

\"How<\/p>\n

Then, enter the\u00a0<\/span>v<\/span>alue appropriately and accordingly for the parameter as required by the Maximum Stress (\u03c3max<\/sub>)\u00a0<\/strong>is\u00a032<\/strong>\u00a0and\u00a0Young’s Modulus of Elasticity (E)<\/strong>\u00a0is 12<\/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 resiliency and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents resiliency. To calculate resiliency, two essential parameters are needed and these parameters are Maximum…","protected":false},"author":5,"featured_media":14599,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Calculate Resiliency","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn all the steps and the formula on How to Calculate Resiliency in Fracture Mechanics. Get help and accuracy with Nickzom calculator.","_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":""},"categories":[47],"tags":[60,1469,543,1470,1472,1471],"class_list":["post-5174","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-engineering","tag-fracture-mechanics","tag-materials-and-metallurgical","tag-maximum-stress","tag-resiliency","tag-youngs-modulus-of-elasticity","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Resiliency | Fracture Mechanics<\/title>\n<meta name=\"description\" content=\"Learn all the steps and the formula on How to Calculate Resiliency in Fracture Mechanics. 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