{"id":8595,"date":"2023-01-08T12:28:05","date_gmt":"2023-01-08T11:28:05","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=8595"},"modified":"2024-06-07T17:18:12","modified_gmt":"2024-06-07T16:18:12","slug":"how-to-calculate-and-solve-for-final-area-volume-balance-in-stress","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2023\/01\/08\/how-to-calculate-and-solve-for-final-area-volume-balance-in-stress\/","title":{"rendered":"How to Calculate and Solve for Final Area | Volume Balance in Stress"},"content":{"rendered":"

To calculate final area, three essential parameters are needed and these parameters are Final Length at Breakage (l1<\/sub>), Initial Length before Breakage (l0<\/sub>)\u00a0<\/strong>and\u00a0Initial Area (A0<\/sub>).<\/strong><\/p>\n

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

A1<\/sub>\u00a0=\u00a0(A0<\/sub>l0<\/sub>)<\/sup>\/l1<\/sub><\/p>\n

Where:<\/p>\n

A1<\/sub>\u00a0= Final Area
\nl1<\/sub>\u00a0= Final Length at Breakage
\nl0<\/sub>\u00a0= Initial Length before Breakage
\nA0<\/sub> \u00a0= Initial Area<\/p>\n

Given an example;
\nFind the final area when the final length at breakage is 8, the initial length before breakage is 6 and initial area is 3.<\/p>\n

This implies that;<\/p>\n

l1<\/sub> = Final Length at Breakage = 8
\nl0<\/sub> = Initial Length before Breakage = 6
\nA0<\/sub> \u00a0= Initial Area = 3<\/p>\n

A1<\/sub>\u00a0=\u00a0(A0<\/sub>l0<\/sub>)<\/sup>\/l1<\/sub>
\nThat is, A1<\/sub>\u00a0=\u00a0(3)(6)<\/sup>\/(8)<\/sub>
\nA1<\/sub>\u00a0=\u00a0(18)<\/sup>\/(8)<\/sub>
\nA1<\/sub> = 2.25<\/p>\n

Therefore, the\u00a0final area\u00a0<\/strong>is\u00a02.25 m\u00b2.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for True Stress – True Strain In Plastic Region | Mechanical Properties<\/a><\/p>\n

Calculating the Final Length at Breakage when the Final Area, the Initial Length before Breakage and the Initial Area are Given<\/strong><\/h3>\n

l1<\/sub> = A0<\/sub>(l0<\/sub>)<\/sup> \/ A1<\/sub><\/sub><\/p>\n

Where:<\/p>\n

l1<\/sub>\u00a0= Final Length at Breakage
\nA1<\/sub>\u00a0= Final Area
\nl0<\/sub>\u00a0= Initial Length before Breakage
\nA0<\/sub> \u00a0= Initial Area<\/p>\n

Let’s solve an example;
\nFind the final length at breakage when the final area is 10, the initial length before breakage is 4 and the inital area is 6.<\/p>\n

This implies that;<\/p>\n

A1<\/sub> = Final Area = 10
\nl0<\/sub> = Initial Length before Breakage = 4
\nA0<\/sub> \u00a0= Initial Area = 6<\/p>\n

l1<\/sub> = A0<\/sub>(l0<\/sub>)<\/sup> \/ A1<\/sub><\/sub>
\nl1<\/sub> = 6(4)<\/sup> \/ 10<\/sub>
\nThat is, l1<\/sub> = 24<\/sup> \/ 10<\/sub>
\nl1<\/sub> = 2.4<\/p>\n

Therefore, the\u00a0final length at breakage\u00a0<\/strong>is\u00a02.4m.<\/strong><\/p>\n

Calculating the Initial Length before Breakage when the Final Area, the Final Length at Breakage and the Initial Area are Given<\/strong><\/h3>\n

l0<\/sub> = A1<\/sub>(l1<\/sub>)<\/sup> \/ A0<\/sub><\/sub><\/p>\n

Where:<\/p>\n

l0<\/sub>\u00a0= Initial Length before Breakage
\nA1<\/sub>\u00a0= Final Area
\nl1<\/sub>\u00a0= Final Length at Breakage
\nA0<\/sub> \u00a0= Initial Area<\/p>\n

Let’s solve an example;
\nFind the initial length before breakage when the final area is 15, the final length at breakage is 3 and the inital area is 9.<\/p>\n

This implies that;<\/p>\n

A1<\/sub> = Final Area = 15
\nl1<\/sub> = Final Length at Breakage = 3
\nA0<\/sub> \u00a0= Initial Area = 9<\/p>\n

l0<\/sub> = A1<\/sub>(l1<\/sub>)<\/sup> \/ A0<\/sub><\/sub>
\nSo, l0<\/sub> = 15(3)<\/sup> \/ 9<\/sub>
\nl0<\/sub> = 45<\/sup> \/ 9<\/sub>
\nl0<\/sub> = 5<\/p>\n

Therefore, the\u00a0initial length before breakage\u00a0<\/strong>is\u00a05m.<\/strong><\/p>\n

Calculating the Initial Area when the Final Area, the Final Length at Breakage and the Initial Length before Breakage are Given<\/strong><\/h3>\n

A0<\/sub> \u00a0= A1<\/sub>(l1<\/sub>)<\/sup> \/ l0<\/sub><\/sub><\/p>\n

Where:<\/p>\n

A0<\/sub> \u00a0= Initial Area
\nA1<\/sub>\u00a0= Final Area
\nl1<\/sub>\u00a0= Final Length at Breakage
\nl0<\/sub> = Initial Length before Breakage<\/p>\n

Given an example;
\nFind the initial area when the final area is 12, the final length at breakage is 8 and the initial length before breakage is 2.<\/p>\n

This implies that;<\/p>\n

A1<\/sub> = Final Area = 12
\nl1<\/sub> = Final Length at Breakage = 8
\nl0<\/sub> = Initial Length before Breakage = 2<\/p>\n

A0<\/sub> \u00a0= A1<\/sub>(l1<\/sub>)<\/sup> \/ l0<\/sub><\/sub>
\nThen, A0<\/sub> \u00a0= 12(8)<\/sup> \/ 2<\/sub>
\nA0<\/sub> \u00a0= 96<\/sup> \/ 2<\/sub>
\nA0<\/sub> \u00a0= 48<\/p>\n

Therefore, the\u00a0initial area\u00a0<\/strong>is\u00a048.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Flexural Strength with Relation to Volume Fraction | Ceramics<\/a><\/p>\n

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

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

\n

To get the answer and workings of the final area 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 Final Area<\/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 final area according to the respective parameter which is the Final Length at Breakage (l1<\/sub>), Initial Length before Breakage (l0<\/sub>)\u00a0<\/strong>and\u00a0Initial Area (A0<\/sub>).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Final Length at Breakage (l1<\/sub>)<\/strong> is 8<\/strong>, Initial Length before Breakage (l0<\/sub>)<\/strong> is 6 <\/strong>and Initial Area (A0<\/sub>)<\/strong> is 3<\/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 final area and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"To calculate final area, three essential parameters are needed and these parameters are Final Length at Breakage (l1),…","protected":false},"author":5,"featured_media":16539,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Calculate Final Area","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Master the steps, formula, and parameters on How to Calculate Final Area | Volume Balance in Stress. Use Nickzom calculator 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":[60,2358,2354,2359,2355,543,2351],"class_list":["post-8595","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-engineering","tag-final-area","tag-final-length-at-breakage","tag-initial-area","tag-initial-length-before-breakage","tag-materials-and-metallurgical","tag-mechanical-properties","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Final Area | Volume Balance in Stress<\/title>\n<meta name=\"description\" content=\"Master the steps, formula, and parameters on How to Calculate Final Area | Volume Balance in Stress. 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