{"id":6858,"date":"2021-12-11T10:59:56","date_gmt":"2021-12-11T09:59:56","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=6858"},"modified":"2024-05-21T08:17:26","modified_gmt":"2024-05-21T07:17:26","slug":"how-to-calculate-and-solve-for-thermal-stress-with-quenching-polymer-deformation","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/12\/11\/how-to-calculate-and-solve-for-thermal-stress-with-quenching-polymer-deformation\/","title":{"rendered":"How to Calculate and Solve for Thermal Stress with Quenching | Polymer Deformation"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents thermal stress with quenching. To calculate thermal stress with quenching, six essential parameters are needed and these parameters are Fraction of Specific Geometry (C), Biot Quenching Modulus (\u03b2), Elastic Modulus (E), Linear Coefficient of Thermal Expansion (\u03b1), Change in Temperature (\u0394T)<\/strong> and Poisson’s Ratio (\u03bc).<\/strong><\/p>\n

The formula for calculating thermal stress with quenching:<\/strong><\/h3>\n

\u03c3 = C\u03b2E\u03b1\u0394T<\/sup> \/ 1 – \u03bc<\/sub><\/p>\n

Where:<\/p>\n

\u03c3 = Thermal Stress with Quenching
\nC = Fraction of Specific Geometry
\nb = Biot Quenching Modulus
\nE = Elastic Modulus
\n\u03b1 = Linear Coefficient of Thermal Expansion
\n\u0394T = Change in Temperature
\n\u03bc = Poisson’s Ratio<\/p>\n

Let’s solve an example;
\nFind the thermal stress with quenching when the fraction of specific geometry is 1, the biot quenching modulus is 2, the elastic modulus is 3, the linear coefficient of thermal expansion is 4, the change in temperature is 5 and the poisson’s ratio is 6.<\/p>\n

This implies that;<\/p>\n

C = Fraction of Specific Geometry = 1
\nb = Biot Quenching Modulus = 2
\nE = Elastic Modulus = 3
\n\u03b1 = Linear Coefficient of Thermal Expansion = 4
\n\u0394T = Change in Temperature = 5
\n\u03bc = Poisson’s Ratio = 6<\/p>\n

\u03c3 = C\u03b2E\u03b1\u0394T<\/sup> \/ 1 – \u03bc<\/sub>
\nThat is, \u03c3 = (1)(2)(3)(4)(5)<\/sup> \/ 1 – 6<\/sub>
\n\u03c3 = 120<\/sup> \/ -5<\/sub>
\n\u03c3 = -24<\/p>\n

Therefore, the thermal stress with quenching <\/strong>is -24 Pa.<\/strong><\/p>\n

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

How to Calculate Thermal Stress with Quenching With Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the thermal stress with quenching.<\/p>\n

\n

To get the answer and workings of the thermal stress with quenching 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 Thermal Stress with Quenching<\/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 thermal stress with quenching according to the respective parameter which is the Fraction of Specific Geometry (C), Biot Quenching Modulus (\u03b2), Elastic Modulus (E), Linear Coefficient of Thermal Expansion (\u03b1), Change in Temperature (\u0394T)<\/strong> and Poisson’s Ratio (\u03bc).<\/strong><\/p>\n

\"\"<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Fraction of Specific Geometry (C)<\/strong> is 1<\/strong>, Biot Quenching Modulus (\u03b2)<\/strong> is 2<\/strong>, Elastic Modulus (E)<\/strong> is 3<\/strong>, Linear Coefficient of Thermal Expansion (\u03b1)<\/strong> is 4<\/strong>, Change in Temperature (\u0394T)\u00a0<\/strong>is\u00a05<\/strong> and Poisson’s Ratio (\u03bc)<\/strong> is 6<\/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 thermal stress with quenching and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents thermal stress with quenching. To calculate thermal stress with quenching, six essential parameters are…","protected":false},"author":5,"featured_media":15531,"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":[1937,1337,1931,60,1936,1938,543,667,1935,1939],"class_list":["post-6858","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-biot-quenching-modulus","tag-change-in-temperature","tag-elastic-modulus","tag-engineering","tag-fraction-of-specific-geometry","tag-linear-coefficient-of-therml-expansion","tag-materials-and-metallurgical","tag-poissons-ratio","tag-polymer-deformation","tag-thermal-stress","cs-entry"],"yoast_head":"\nHow 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