{"id":7624,"date":"2022-08-04T05:16:17","date_gmt":"2022-08-04T04:16:17","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=7624"},"modified":"2024-05-28T10:07:52","modified_gmt":"2024-05-28T09:07:52","slug":"how-to-calculate-and-solve-for-elastic-modulus-on-longitudinal-direction-composites","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2022\/08\/04\/how-to-calculate-and-solve-for-elastic-modulus-on-longitudinal-direction-composites\/","title":{"rendered":"How to Calculate and Solve for Elastic Modulus on Longitudinal Direction | Composites"},"content":{"rendered":"

The elastic modulus on longitudinal direction is illustrated by the image below. To calculate elastic modulus on longitudinal direction, three essential parameters are needed and these parameters are Elastic Modulus of the Matrix (Em<\/sub>), Elastic Modulus of the Fibre (Ef<\/sub>)<\/strong> and Volume Fraction of the Fibre (Vf<\/sub>).<\/strong><\/p>\n

\"\"<\/p>\n

The formula for calculating elastic modulus on longitudinal direction:<\/strong><\/h3>\n

Eu<\/sub>\u00a0= Em<\/sub>(1 – Vf<\/sub>) + Ef<\/sub>Vf<\/sub><\/p>\n

Where:<\/p>\n

Eu<\/sub>\u00a0= Elastic Modulus on Longitudinal Direction
\nEm<\/sub>\u00a0= Elastic Modulus of the Matrix
\nAnd then, Ef<\/sub>\u00a0= Elastic Modulus of the Fibre
\nVf<\/sub>\u00a0= Volume Fraction of the Fibre<\/p>\n

Let’s solve an example;
\nFind the elastic modulus on longitudinal direction when the elastic modulus of the matrix is 12, the elastic modulus of the fibre is 10 and volume fraction of the fibre is 4.<\/p>\n

This implies that;<\/p>\n

Em<\/sub> = Elastic Modulus of the Matrix = 12
\nEf<\/sub> = Elastic Modulus of the Fibre = 10
\nVf<\/sub> = Volume Fraction of the Fibre = 4<\/p>\n

Eu<\/sub>\u00a0= Em<\/sub>(1 – Vf<\/sub>) + Ef<\/sub>Vf<\/sub>
\nEu<\/sub> = (12)(1 – 4) + (10)(4)
\nSo, Eu<\/sub> = (12)(-3) + (40)
\nEu<\/sub> = (-36) + (40)
\nEu<\/sub>\u00a0= 4<\/p>\n

Therefore, the\u00a0elastic modulus on longitudinal direction\u00a0<\/strong>is\u00a04 Pa.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Elastic Modulus on Transverse Direction | Composites<\/a><\/p>\n

How to Calculate Elastic Modulus on Longitudinal Direction Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the elastic modulus on longitudinal direction.<\/p>\n

\n

To get the answer and workings of the elastic modulus on longitudinal direction 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\u00a0Elastic Modulus on Longitudinal Direcction<\/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 elastic modulus on longitudinal across according to the respective parameter which is the Elastic Modulus of the Matrix (Em<\/sub>), Elastic Modulus of the Fibre (Ef<\/sub>)<\/strong> and Volume Fraction of the Fibre (Vf<\/sub>).<\/strong><\/p>\n

\"\"<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Elastic Modulus of the Matrix (Em<\/sub>)<\/strong> is 12<\/strong>, Elastic Modulus of the Fibre (Ef<\/sub>) <\/strong>is 10<\/strong>\u00a0and Volume Fraction of the Fibre (Vf<\/sub>)<\/strong> is 4<\/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 solves for the elastic modulus on longitudinal directom and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The elastic modulus on longitudinal direction is illustrated by the image below. To calculate elastic modulus on longitudinal…","protected":false},"author":5,"featured_media":15969,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Calculate Elastic Modulus on Longitudinal Direction","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Master the steps and the formula on How to Calculate Elastic Modulus on Longitudinal Direction in Composites. Use Nickzom for accuracy.","_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":[2131,2145,2144,2146,60,543,2142],"class_list":["post-7624","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-elastic-modulus-on-longitudinal-direction","tag-engineering","tag-materials-and-metallurgical","tag-volume-fraction-of-the-fibre","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Elastic Modulus on Longitudinal Direction | Composites<\/title>\n<meta name=\"description\" content=\"Master the steps and the formula on How to Calculate Elastic Modulus on Longitudinal Direction in Composites. 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