{"id":7643,"date":"2022-08-05T17:50:29","date_gmt":"2022-08-05T16:50:29","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=7643"},"modified":"2024-05-28T10:10:52","modified_gmt":"2024-05-28T09:10:52","slug":"how-to-calculate-and-solve-for-randomly-oriented-composite-modulus-of-elasticity-composites","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2022\/08\/05\/how-to-calculate-and-solve-for-randomly-oriented-composite-modulus-of-elasticity-composites\/","title":{"rendered":"How to Calculate and Solve for Randomly Oriented Composite Modulus of Elasticity | Composites"},"content":{"rendered":"

The randomly oriented composite modulus of elasticity is illustrated by the image below. To calculate randomly oriented composite modulus of elasticity, five essential parameters are needed and these parameters are Fibre Efficiency Parameter (K), Elastic Modulus of the Fibre (Ef<\/sub>), Elastic Modulus of the Matrix (Em<\/sub>), Volume Fraction of the Fibre (Vf<\/sub>)<\/strong> and Volume Fraction of the Matrix (Vm<\/sub>).<\/strong><\/p>\n

\"\"<\/p>\n

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

E = KEf<\/sub>Vf<\/sub>\u00a0+ Em<\/sub>Vm<\/sub><\/p>\n

Where:<\/p>\n

E = Randomly Oriented Composite Modulus of Elasticity
\nK = Fibre Efficiency Parameter
\nEf<\/sub>\u00a0= Elastic Modulus of the Fibre
\nEm<\/sub>\u00a0= Elastic Modulus of the Matrix
\nVf<\/sub>\u00a0= Volume Fraction of the Fibre
\nVm<\/sub>\u00a0= Volume Fraction of the Matrix<\/p>\n

Let’s solve an example;
\nFind the randomly oriented composite modulus of elasticity when the fibre efficiency parameter is 14, the elastic modulus of the fibre is 10, the elastic modulus of the matrix is 16, the volume fraction of the fibre is 12 and the volume fraction of the matrix is 8.<\/p>\n

This implies that;<\/p>\n

K = Fibre Efficiency Parameter = 14
\nEf<\/sub> = Elastic Modulus of the Fibre = 10
\nEm<\/sub> = Elastic Modulus of the Matrix = 16
\nVf<\/sub> = Volume Fraction of the Fibre = 12
\nVm<\/sub> = Volume Fraction of the Matrix = 8<\/p>\n

E = KEf<\/sub>Vf<\/sub>\u00a0+ Em<\/sub>Vm<\/sub>
\nE = (14)(10)(12) + (16)(8)
\nThen, E = (1680) + (128)
\nE = 1808<\/p>\n

Therefore, the\u00a0randomly oriented composite modulus of elasticity<\/strong> is\u00a01808 Pa.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Ratio of Load of Fibre to Matrix | Composites<\/a><\/p>\n

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

Nickzom Calculator \u2013 The Calculator Encyclopedia<\/strong> is capable of calculating the randomly oriented composite modulus of elasticity.<\/p>\n

\n

To get the answer and workings of the randomly oriented composite 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 Composites<\/strong>\u00a0<\/b>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on\u00a0Randomly Oriented Composite Modulus of Elasticity<\/strong>\u00a0under Composites<\/b><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the randomly oriented composite modulus of elasticity according to the respective parameter which is the Fibre Efficiency Parameter (K), Elastic Modulus of the Fibre (Ef<\/sub>), Elastic Modulus of the Matrix (Em<\/sub>), Volume Fraction of the Fibre (Vf<\/sub>)<\/strong> and Volume Fraction of the Matrix (Vm<\/sub>).<\/strong><\/p>\n

\"\"<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Fibre Efficiency Parameter (K)<\/strong> is 14<\/strong>, Elastic Modulus of the Fibre (Ef<\/sub>)<\/strong> is 10<\/strong>, Elastic Modulus of the Matrix (Em<\/sub>)<\/strong> is 16<\/strong>, Volume Fraction of the Fibre (Vf<\/sub>)\u00a0<\/strong>is\u00a012<\/strong> and Volume Fraction of the Matrix (Vm<\/sub>)<\/strong> is 8<\/strong>.<\/p>\n

\"How<\/p>\n

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

\"How
\n\"How<\/p>\n

As you can see from\u00a0the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia can calculate randomly oriented composite modulus of elasticity and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The randomly oriented composite modulus of elasticity is illustrated by the image below. To calculate randomly oriented composite…","protected":false},"author":5,"featured_media":15973,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Calculate Randomly Oriented Composite Modulus of Elasticity","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"This is How to Calculate and Solve for Randomly Oriented Composite Modulus of Elasticity. Get accurate results 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":[2131,2145,2144,60,2152,543,2153,2142,2128],"class_list":["post-7643","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-composites","tag-elastic-modulus-of-the-fibre","tag-elastic-modulus-of-the-matrix","tag-engineering","tag-fibre-efficiency-parameter","tag-materials-and-metallurgical","tag-randomly-oriented-composite-modulus-of-elasticity","tag-volume-fraction-of-the-fibre","tag-volume-fraction-of-the-matrix","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Randomly Oriented Composite Modulus of Elasticity | Composites<\/title>\n<meta name=\"description\" content=\"This is How to Calculate and Solve for Randomly Oriented Composite Modulus of Elasticity. 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