{"id":4955,"date":"2021-03-04T13:27:25","date_gmt":"2021-03-04T12:27:25","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=4955"},"modified":"2024-04-27T09:56:14","modified_gmt":"2024-04-27T08:56:14","slug":"how-to-calculate-and-solve-for-shear-angle-mechanics-of-chip-formation","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/03\/04\/how-to-calculate-and-solve-for-shear-angle-mechanics-of-chip-formation\/","title":{"rendered":"How to Calculate and Solve for Shear Angle | Mechanics of Chip Formation"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents the shear angle. To calculate the shear angle, two essential parameters are needed, and these parameters are the Cutting Ratio (r) and Rake Angle (\u03b1).<\/p>\n

The formula to calculate shear angle:<\/strong><\/h3>\n

\u03c6 = tan-1<\/sup>[rcos\u03b1<\/sup> \/ 1 – rsin\u03b1<\/sub>]<\/p>\n

Where:<\/p>\n

\u03c6 = Shear Angle
\nr = Cutting Ratio
\n\u03b1 = Rake Angle<\/p>\n

Let’s solve an example;
\nFind the shear angle when the cutting ratio is 24 and the rake angle is 8.<\/p>\n

This implies that;<\/p>\n

r = Cutting Ratio = 24
\n\u03b1 = Rake Angle = 8<\/p>\n

\u03c6 = tan-1<\/sup>[rcos\u03b1<\/sup> \/ 1 – rsin\u03b1<\/sub>]
\n\u03c6 = tan-1<\/sup>[24 x cos8\u00b0<\/sup> \/ 1 – 24 x sin8\u00b0<\/sub>]
\nThat is, \u03c6 = tan-1<\/sup>[24 x 0.99<\/sup>\u00a0\/ 1 – 24 x 0.139<\/sub>]
\n\u03c6 = tan-1<\/sup>[23.766<\/sup>\u00a0\/ 1 – 3.34<\/sub>]
\n\u03c6 = tan-1<\/sup>[23.766<\/sup>\u00a0\/ -2.34<\/sub>]
\nSo, \u03c6 = tan-1<\/sup>[-10.155]
\n\u03c6 = -84.37<\/p>\n

Therefore, the shear angle\u00a0<\/strong>is\u00a0-84.37\u00b0.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Cutting Ratio | Mechanics of Chips Formation<\/a><\/p>\n

How to Calculate Shear Angle With 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 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>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\u00a0Mechanics of Chips Formation\u00a0<\/strong>under\u00a0Metal Forming Processes<\/strong><\/p>\n

<\/p>\n

So, Click on Shear Angle\u00a0<\/strong>under\u00a0Mechanics of Chips Formation<\/strong><\/p>\n

\"How<\/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 Cutting Ratio (r)\u00a0<\/strong>and\u00a0Rake Angle (\u03b1).<\/strong><\/p>\n

\"\"<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Cutting Ratio (r)<\/strong>\u00a0is 24\u00a0<\/strong>and\u00a0Rake Angle (\u03b1)<\/strong>\u00a0is 8<\/strong>.<\/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 the shear angle. To calculate the shear angle, two essential parameters are needed, and…","protected":false},"author":5,"featured_media":14548,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Calculate Shear Angle","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"These are the steps and necessary parameters, including the correct formula on How to Calculate Shear Angle in Mechanics of Chip 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