{"id":6851,"date":"2021-12-11T10:51:01","date_gmt":"2021-12-11T09:51:01","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=6851"},"modified":"2024-05-21T08:17:23","modified_gmt":"2024-05-21T07:17:23","slug":"how-to-calculate-and-solve-for-radius-of-curvature-stress-concentration-factor-polymer-deformation","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/12\/11\/how-to-calculate-and-solve-for-radius-of-curvature-stress-concentration-factor-polymer-deformation\/","title":{"rendered":"How to Calculate and Solve for Radius of Curvature | Stress Concentration Factor | Polymer Deformation"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents the radius of curvature. To calculate the radius of curvature, two essential parameters are needed, and these parameters are Half Minor Axis (b) and Half Major Axis (a).<\/p>\n

The formula for calculating the radius of curvature:<\/strong><\/h3>\n

\u03c1 = b\u00b2<\/sup> \/ a<\/sub><\/p>\n

Where:<\/p>\n

\u03c1 = Radius of Curvature | Stress Concentration Factor
\nb = Half Minor Axis
\na = Half Major Axis<\/p>\n

Let’s solve an example;
\nFind the radius of curvature when the half minor axis is 42 and half major axis is 6.<\/p>\n

This implies that;<\/p>\n

b = Half Minor Axis = 42
\na = Half Major Axis = 6<\/p>\n

\u03c1 = b\u00b2<\/sup> \/ a<\/sub>
\nThat is, \u03c1 = (42)\u00b2<\/sup> \/ 6<\/sub>
\n\u03c1 = 1764<\/sup> \/ 6<\/sub>
\n\u03c1 = 294<\/p>\n

Therefore, the radius of curvature <\/strong>is 294 m.<\/strong><\/p>\n

Calculating the Half Minor Axis when the Radius of Curvature and the Half Major Axis are Given<\/strong><\/h3>\n

b = \u221a\u03c1 x a<\/p>\n

Where:<\/p>\n

b = Half Minor Axis
\n\u03c1 = Radius of Curvature | Stress Concentration Factor
\na = Half Major Axis<\/p>\n

Let’s solve an example;
\nFind the half minor axis when the radius of curvature is 20 and the half major axis is 4.<\/p>\n

This implies that;<\/p>\n

\u03c1 = Radius of Curvature = 20
\na = Half Major Axis = 4<\/p>\n

b = \u221a\u03c1 x a
\nThen, b = \u221a20 x 4
\nb = \u221a80
\nb = 8.94<\/p>\n

Therefore, the half minor axis <\/strong>is 8.94.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Thermal Stress in Relation to Poisson’s Ratio | Polymer Deformation<\/a><\/p>\n

Calculating the Half Major Axis when the Radius of Curvature and the Half Minor Axis are Given<\/strong><\/h3>\n

a = b2<\/sup><\/sup> \/ \u03c1<\/sub><\/p>\n

Where:<\/p>\n

a = Half Major Axis
\n\u03c1 = Radius of Curvature | Stress Concentration Factor
\nb = Half Minor Axis<\/p>\n

Let’s solve an example;
\nFind the half major axis when the radius of curvature is 12 and the half minor axis is 2.<\/p>\n

This implies that;<\/p>\n

\u03c1 = Radius of Curvature = 12
\nb = Half Minor Axis = 2<\/p>\n

a = b2<\/sup><\/sup> \/ \u03c1<\/sub>
\nSo, a = 22<\/sup><\/sup> \/ 12<\/sub>
\na = 4<\/sup> \/ 12<\/sub>
\na = 0.33<\/p>\n

Therefore, the half major axis <\/strong>is 0.33.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Thermal Stress with Quenching | Polymer Deformation<\/a><\/p>\n

How to Calculate the Radius of Curvature | Stress Concentration Factor Using Nickzom Calculator<\/strong><\/h3>\n

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

\n

To get the answer and workings of the radius of curvature 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 <\/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 Polymer Deformation <\/b>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on Radius of Curvature<\/strong> under Polymer Deformation
\n<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the radius of curvature according to the respective parameter which is the Half Minor Axis (b)<\/strong> and Half Major Axis (a).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Half Minor Axis (b)<\/strong> is 42 <\/strong>and Half Major Axis (a)<\/strong> is 6<\/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 radius of curvature and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents the radius of curvature. To calculate the radius of curvature, two essential parameters are…","protected":false},"author":5,"featured_media":15533,"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":"","_members_access_role":[],"_members_access_error":""},"categories":[47],"tags":[60,1943,1942,543,1935,1944],"class_list":["post-6851","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-engineering","tag-half-major-axis","tag-half-minor-axis","tag-materials-and-metallurgical","tag-polymer-deformation","tag-radius-of-curvature","cs-entry"],"yoast_head":"\nHow to Calculate and Solve 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