{"id":5074,"date":"2021-03-07T14:58:46","date_gmt":"2021-03-07T13:58:46","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=5074"},"modified":"2024-04-29T21:49:00","modified_gmt":"2024-04-29T20:49:00","slug":"how-to-calculate-and-solve-for-shear-angle-merchant-force-circle","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/03\/07\/how-to-calculate-and-solve-for-shear-angle-merchant-force-circle\/","title":{"rendered":"How to Calculate and Solve for Shear Angle | Merchant Force Circle"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents shear angle. To calculate shear angle, two essential parameters are needed and these parameters are Rake Angle (in Radians) (\u03b1)\u00a0<\/strong>and Angle of Friction (in Radians)(\u03b2).<\/strong><\/p>\n

The formula for calculating shear angle:<\/strong><\/h3>\n

\u03c6 = \u03c0<\/sup> \/ 4<\/sub> – (\u03b2 – \u03b1)<\/p>\n

Where:<\/p>\n

\u03c6 = Shear Angle
\n\u03b1 = Rake Angle
\n\u03b2 = Angle of Friction<\/p>\n

Let’s solve an example;
\nFind the shear angle when the rake angle is 24 and the angle of friction is 10.<\/p>\n

This implies that;<\/p>\n

\u03b1 = Rake Angle = 24
\n\u03b2 = Angle of Friction = 10<\/p>\n

\u03c6 = \u03c0<\/sup> \/ 4<\/sub> – (\u03b2 – \u03b1)
\nThat is, \u03c6 = \u03c0<\/sup> \/ 4<\/sub> – (10 – 24)
\n\u03c6 = 0.78 – -14
\n\u03c6 = 14.78<\/p>\n

Therefore, the\u00a0shear angle\u00a0<\/strong>is\u00a014.78 radians.<\/strong><\/p>\n

Calculating the Rake Angle when the Shear Angle and the Angle of Friction are Given<\/strong><\/h3>\n

\u03b1 = \u03b2 – (\u03c0<\/sup> \/ 4<\/sub> + \u03c6)<\/p>\n

Where;<\/p>\n

\u03b1 = Rake Angle
\n\u03c6 = Shear Angle
\n\u03b2 = Angle of Friction<\/p>\n

Let’s solve an example;
\nFind the rake angle when the shear angle is 20 and the angle of friction is 52.<\/p>\n

This implies that;<\/p>\n

\u03c6 = Shear Angle = 20
\n\u03b2 = Angle of Friction = 52<\/p>\n

\u03b1 = \u03b2 – (\u03c0<\/sup> \/ 4<\/sub> + \u03c6)
\nThen, \u03b1 = 52 – (\u03c0<\/sup> \/ 4<\/sub> + 20)
\n\u03b1 = 52 – 20.78
\n\u03b1 = 31.22<\/p>\n

Therefore, the\u00a0rake angle\u00a0<\/strong>is\u00a031.22 radians.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Shear Angle | Mechanics of Chip Formation<\/a><\/p>\n

Calculating the Angle of Friction when the Shear Angle and the Rake Angle are Given<\/strong><\/h3>\n

\u03b2 = (\u03c0<\/sup> \/ 4<\/sub> + \u03c6) + \u03b1<\/p>\n

Where;<\/p>\n

\u03b2 = Angle of Friction
\n\u03c6 = Shear Angle
\n\u03b1 = Rake Angle<\/p>\n

Let’s solve an example;
\nFind the angle of friction when the shear angle is 16 and the rake angle is 10.<\/p>\n

This implies that;<\/p>\n

\u03c6 = Shear Angle = 16
\n\u03b1 = Rake Angle = 10<\/p>\n

\u03b2 = (\u03c0<\/sup> \/ 4<\/sub> + \u03c6) + \u03b1
\n\u03b2 = (\u03c0<\/sup> \/ 4<\/sub> + 16) + 10
\nThat is, \u03b2 = 16.79 + 10
\n\u03b2 = 26.79<\/p>\n

Therefore, the\u00a0angle of friction\u00a0<\/strong>is\u00a026.79 radians.<\/strong><\/p>\n

How to Calculate Shear Angle Using Nickzom Calculator<\/strong><\/h3>\n

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

To get the answer and workings of the shear angle using the\u00a0Nickzom 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>for\u00a0NGN 2,000\u00a0<\/strong>per\u00a0annum<\/strong>\u00a0to 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>
\nApple (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

\"\"<\/p>\n

Now, Click on\u00a0Metal Forming Processes <\/strong>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

<\/p>\n

Now, Click on Merchant Force Circle<\/strong>\u00a0<\/strong>under\u00a0Metal Forming Processes<\/strong><\/p>\n

\"\"<\/p>\n

That is, Click on Shear Angle<\/strong>\u00a0<\/strong>under\u00a0Merchant Force Circle<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the shear angle according to the respective parameters which is the Rake Angle (in Radians) (\u03b1)\u00a0<\/strong>and Angle of Friction (in Radians) (\u03b2).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the value appropriately and accordingly for the parameter as required by the Rake Angle (in Radians) (\u03b1)<\/strong>\u00a0is 24\u00a0<\/strong>and Angle of Friction (in Radians) (\u03b2)<\/strong>\u00a0is 10<\/strong>.<\/span><\/p>\n

\"How<\/p>\n

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

\"How<\/p>\n

As you can see from the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the shear angle and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents shear angle. To calculate shear angle, two essential parameters are needed and these parameters…","protected":false},"author":5,"featured_media":14594,"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":""},"categories":[47],"tags":[1447,60,543,1443,1426,1429,1424],"class_list":["post-5074","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-angle-of-friction","tag-engineering","tag-materials-and-metallurgical","tag-merchant-force-circle","tag-metal-forming-processes","tag-rake-angle","tag-shear-angle","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Shear Angle | Merchant Force Circle<\/title>\n<meta name=\"description\" content=\"Learn the step by step guide and the formula on How to Calculate Shear Angle in Merchant Force Circle. 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