{"id":8535,"date":"2023-01-05T21:55:00","date_gmt":"2023-01-05T20:55:00","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=8535"},"modified":"2024-06-07T17:30:09","modified_gmt":"2024-06-07T16:30:09","slug":"how-to-calculate-and-solve-for-modulus-of-elasticity-mechanical-properties","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2023\/01\/05\/how-to-calculate-and-solve-for-modulus-of-elasticity-mechanical-properties\/","title":{"rendered":"How to Calculate and Solve for Modulus of Elasticity | Mechanical Properties"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents modulus of elasticity. To calculate modulus of elasticity, two essential parameters are needed and these parameters are Shear Modulus (G)\u00a0<\/strong>and\u00a0Poisson’s Ratio (V).<\/strong><\/p>\n

The formula for calculating modulus of elasticity:<\/strong><\/h3>\n

E = 2G(1 + V)<\/p>\n

Where:<\/p>\n

E = Modulus of Elasticity
\nG = Shear Modulus<\/a>
\nV = Poisson’s Ratio<\/a><\/p>\n

Given an example;
\nFind the modulus of elasticity when the shear modulus is 28 and the poisson’s ratio is 4.<\/p>\n

This implies that;<\/p>\n

G = Shear Modulus = 28
\nV = Poisson’s Ratio = 4<\/p>\n

E = 2G(1 + V)
\nE = 2(28)(1 + 4)
\nSo, E = 2(28)(5)
\nE = (56)(5)
\nE = 280<\/p>\n

Therefore, the\u00a0modulus of elasticity\u00a0<\/strong>is\u00a0280 Pa.<\/strong><\/p>\n

Calculating the Shear Modulus when the Modulus of Elasticity and the Poisson’s Ratio are Given<\/strong><\/h3>\n

G = E<\/sup> \/ 2(1 + V)<\/sub><\/p>\n

Where:<\/p>\n

G = Shear Modulus
\nE = Modulus of Elasticity
\nV = Poisson’s Ratio<\/p>\n

Let’s solve an example;
\nFind the shear modulus when the modulus of elasticity is 40 and the poisson’s ratio is 3.<\/p>\n

This implies that;<\/p>\n

E = Modulus of Elasticity = 40
\nV = Poisson’s Ratio = 3<\/p>\n

G = E<\/sup> \/ 2(1 + V)<\/sub>
\nG = 40<\/sup> \/ 2(1 + 3)<\/sub>
\nThat is, G = 40<\/sup> \/ 2(4)<\/sub>
\nG = 40<\/sup> \/ 8<\/sub>
\nG = 5<\/p>\n

Therefore, the\u00a0shear modulus\u00a0<\/strong>is\u00a05.<\/strong><\/p>\n

Calculating the Poisson’s Ratio when the Modulus of Elasticity and the Shear Modulus are Given<\/strong><\/h3>\n

V = (E<\/sup> \/ 2G<\/sub>) – 1<\/p>\n

Where:<\/p>\n

V = Poisson’s Ratio
\nE = Modulus of Elasticity
\nG = Shear Modulus<\/p>\n

Let’s solve an example;
\nFind the poisson’s ratio when the modulus of elasticity is 30 and the shear modulus is 3.<\/p>\n

This implies that;<\/p>\n

E = Modulus of Elasticity = 30
\nG = Shear Modulus = 3<\/p>\n

V = (E<\/sup> \/ 2G<\/sub>) – 1
\nV = (30<\/sup> \/ 2(3)<\/sub>) – 1
\nThen, V = (30<\/sup> \/ 6<\/sub>) – 1
\nV = 5 – 1
\nV = 4<\/p>\n

Therefore, the\u00a0poisson’s ratio\u00a0<\/strong>is\u00a04.<\/strong><\/p>\n

How to Calculate Modulus of Elasticity With Nickzom Calculator<\/strong><\/h3>\n

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

\n

To get the answer and workings of the modulus of elasticity using the Nickzom 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>to 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><\/p>\n

Apple (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<\/div>\n

<\/p>\n

Now, Click on\u00a0Mechanical Properties<\/strong>\u00a0<\/b>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on Modulus of Elasticity<\/strong>\u00a0<\/strong>under\u00a0Mechanical Properties<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the modulus of elasticity according to the respective parameter which is the Shear Modulus (G)\u00a0<\/strong>and\u00a0Poisson’s Ratio (V).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Shear Modulus (G)<\/strong> is 28 <\/strong>and Poisson’s Ratio (V)<\/strong> is 4<\/strong>.<\/p>\n

\"How<\/p>\n

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

\"How<\/p>\n

As you can see from\u00a0the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the modulus of elasticity and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents modulus of elasticity. To calculate modulus of elasticity, two essential parameters are needed and…","protected":false},"author":5,"featured_media":16532,"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":""},"categories":[47],"tags":[60,543,2351,2305,667,678],"class_list":["post-8535","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-engineering","tag-materials-and-metallurgical","tag-mechanical-properties","tag-modulus-of-elasticity","tag-poissons-ratio","tag-shear-modulus","cs-entry"],"yoast_head":"\nHow to 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