{"id":5037,"date":"2021-03-07T13:43:05","date_gmt":"2021-03-07T12:43:05","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=5037"},"modified":"2024-04-27T11:03:25","modified_gmt":"2024-04-27T10:03:25","slug":"how-to-calculate-and-solve-for-force-at-the-tool-chip-interface-acting-normal-to-the-cutting-force-of-the-tool-merchant-force-circle","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/03\/07\/how-to-calculate-and-solve-for-force-at-the-tool-chip-interface-acting-normal-to-the-cutting-force-of-the-tool-merchant-force-circle\/","title":{"rendered":"How to Calculate and Solve for Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool | Merchant Force Circle"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents force at the tool chip interface acting normal to the cutting force of the tool. You need three parameters to calculate force at the tool chip interface acting normal to the cutting force of the tool. These parameters are Cutting Force (Horizontal Force Component) (Fc<\/sub>), Cross Force (Vertical Force Component) (Ft<\/sub>)\u00a0<\/strong>and\u00a0Rake Angle (\u03b1).<\/strong><\/p>\n

The formula for calculating force at the tool chip interface acting normal to the cutting force of the tool:<\/strong><\/h4>\n

N = Fc<\/sub>cos\u03b1 – Ft<\/sub>sin\u03b1<\/p>\n

Where the following applies:<\/p>\n

N = Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool
\nFc<\/sub> = Cutting Force (Horizontal Force Component)
\nFt<\/sub> = Cross Force (Vertical Force Component)
\n\u03b1 = Rake Angle<\/p>\n

Let’s solve an example;
\nFind the force at the tool chip interface acting normal to the cutting force of the tool when the cutting force is 12, the cross force is 18 and the rake angle is 22\u00b0.<\/p>\n

This implies that;<\/p>\n

Fc<\/sub> = Cutting Force (Horizontal Force Component) = 12
\nFt<\/sub> = Cross Force (Vertical Force Component) = 18
\n\u03b1 = Rake Angle = 22\u00b0<\/p>\n

N = Fc<\/sub>cos\u03b1 – Ft<\/sub>sin\u03b1
\nN = 12 x cos22\u00b0 – 18 x sin 22\u00b0
\nThat is, N = 12 x 0.927 – 18 x 0.374
\nN = 11.126 – 6.743
\nN = 4.38<\/p>\n

Therefore, the\u00a0force at the tool chip interface acting normal to the cutting force of the tool\u00a0<\/strong>is\u00a04.83 N.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Frictional Resistance of the Tool acting on the Chip | Merchant Force Circle<\/a><\/p>\n

How to Calculate Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool With Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> can calculate the force at the tool chip interface acting normal to the cutting force of the tool.<\/p>\n

To get the answer and workings of the force at the tool chip interface acting normal to the cutting force of the tool 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 annum<\/strong>.
\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><\/p>\n

Using the Calculator App<\/strong><\/h4>\n

Once you have obtained the calculator encyclopedia app, proceed to the Calculator Map.<\/strong> Then, click<\/strong>\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

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

\"\"<\/p>\n

Now, Click on\u00a0Force at the Tool Chip Interface acting normal to the Cutting Force of the Tool\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 force at the tool chip interface acting normal to the cutting force of the tool according to the respective parameters which is the Cutting Force (Horizontal Force Component) (Fc<\/sub>), Cross Force (Vertical Force Component) (Ft<\/sub>)\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 Force (Horizontal Force Component) (Fc<\/sub>)<\/strong>\u00a0is 12<\/strong>, Cross Force (Vertical Force Component) (Ft<\/sub>) <\/strong>is\u00a018\u00a0<\/strong>and\u00a0Rake Angle (\u03b1)<\/strong>\u00a0is 22<\/strong>.<\/span><\/p>\n

\"How<\/p>\n

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

\"How
\n\"How<\/p>\n

As you can see from the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the force at the tool chip interface acting normal to the cutting force of the tool and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents force at the tool chip interface acting normal to the cutting force of the…","protected":false},"author":5,"featured_media":14576,"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":[1441,1440,60,1442,543,1443,1426,1429],"class_list":["post-5037","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-cross-force","tag-cutting-force","tag-engineering","tag-force-at-the-tool-chip-interface-acting-normal-to-the-cutting-force-of-the-tool","tag-materials-and-metallurgical","tag-merchant-force-circle","tag-metal-forming-processes","tag-rake-angle","cs-entry"],"yoast_head":"\nHow 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