{"id":4950,"date":"2021-03-04T12:14:48","date_gmt":"2021-03-04T11:14:48","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=4950"},"modified":"2024-04-27T09:47:19","modified_gmt":"2024-04-27T08:47:19","slug":"how-to-calculate-and-solve-for-cutting-ratio-i-mechanics-of-chips-formation","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/03\/04\/how-to-calculate-and-solve-for-cutting-ratio-i-mechanics-of-chips-formation\/","title":{"rendered":"How to Calculate and Solve for Cutting Ratio I Mechanics of Chips Formation"},"content":{"rendered":"<p><img decoding=\"async\" class=\"alignnone size-full wp-image-4973\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/cutting-ratioo.png\" alt=\"\" width=\"257\" height=\"196\" \/><\/p>\n<p>The image above represents cutting ratio. To calculate the cutting ratio under the mechanics of chip formation, two essential parameters are needed, and these parameters are Shear Angle (\u03c6) and Chip Velocity (\u03b1).<\/p>\n<h3><strong>The formula to calculate cutting ratio:<\/strong><\/h3>\n<p>r = <sup>sin\u03c6<\/sup> \/ <sub>cos(\u03c6 &#8211; \u03b1)<\/sub><\/p>\n<p>Where:<\/p>\n<p>r = Cutting Ratio<br \/>\n\u03c6 = Shear Angle<br \/>\n\u03b1 = Rake Angle<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the cutting ratio when the shear angle is 24 and the rake angle is 10.<\/p>\n<p>This implies that;<\/p>\n<p>\u03c6 = Shear Angle = 24<br \/>\n\u03b1 = Rake Angle = 10<\/p>\n<p>r = <sup>sin\u03c6<\/sup> \/ <sub>cos(\u03c6 &#8211; \u03b1)<\/sub><br \/>\nr = <sup>sin24\u00b0<\/sup> \/ <sub>cos(24\u00b0 &#8211; 10\u00b0)<\/sub><br \/>\nSo, r = <sup>sin24\u00b0<\/sup> \/ <sub>cos(14\u00b0)<\/sub><br \/>\nr = <sup>0.406<\/sup>\u00a0\/ <sub>0.970<\/sub><br \/>\nr = 0.419<\/p>\n<p>Therefore, the\u00a0<strong>cutting ratio\u00a0<\/strong>is\u00a0<strong>0.419.<\/strong><\/p>\n<p>Read more:\u00a0<a href=\"https:\/\/www.nickzom.org\/blog\/2021\/03\/02\/how-to-calculate-and-solve-for-cutting-ratio-mechanics-of-chips-formation\/\">How to Calculate and Solve for Cutting Ratio \/ Mechanics of Chips Formation<\/a><\/p>\n<h3><strong>How to Calculate Cutting Ratio in Mechanics of Chips Formation Using Nickzom Calculator<\/strong><\/h3>\n<p>Nickzom Calculator \u2013\u00a0<strong>The Calculator Encyclopedia <\/strong>can calculate the cutting ratio under the mechanics of chops formation.<\/p>\n<p>To get the answer and workings of the cutting ratio, first, you need to obtain the app using the Nickzom Calculator \u2013 The Calculator Encyclopedia.<\/p>\n<p>You can get this app via any of these means:<\/p>\n<p><strong>Web<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator-plus\">https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n<p>To get access to the\u00a0<strong>professional\u00a0<\/strong>version via web, you need to\u00a0<strong>register<\/strong>\u00a0and\u00a0<strong>subscribe\u00a0<\/strong>for<strong>\u00a0NGN 2,000\u00a0<\/strong>per<strong>\u00a0annum<\/strong>\u00a0to have utter access to all functionalities.<br \/>\nYou can also try the\u00a0<strong>demo\u00a0<\/strong>version via\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator\">https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n<p><strong>Android (Paid)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a><br \/>\n<strong>Android (Free)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a><br \/>\n<strong>Apple (Paid)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8\">https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a><br \/>\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0<strong>Calculator Map,\u00a0<\/strong>then click on\u00a0<b>Materials and Metallurgical\u00a0<\/b>under\u00a0<strong>Engineering<\/strong><strong>.<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-4494 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-3.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-3.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-3-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-3-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-3-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, Click on\u00a0<strong>Metal Forming Processes <\/strong>under\u00a0<strong>Materials and Metallurgical<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-4959 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-86.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-86.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-86-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-86-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-86-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Then, Click on <strong>Mechanics of Chips Formation\u00a0<\/strong>under\u00a0<strong>Metal Forming Processes<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-4960 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-87.png\" alt=\"How to Calculate and Solve for Cutting Ratio I Mechanics of Chips Formation\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-87.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-87-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-87-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-87-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, Click on\u00a0<strong>Cutting Ratio\u00a0<\/strong>under\u00a0<strong>Mechanics of Chips Formation<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-4974 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-96.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-96.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-96-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-96-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-96-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>The screenshot below displays the page or activity to enter your values, to get the answer for the cutting ratio according to the respective parameters which is the <strong>Shear Angle (\u03c6)\u00a0<\/strong>and\u00a0<strong>Chip Velocity (\u03b1).<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-4975 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-97.png\" alt=\"How to Calculate and Solve for Cutting Ratio I Mechanics of Chips Formation\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-97.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-97-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-97-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-97-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, enter the values appropriately and accordingly for the parameters as required by the <strong>Shear Angle (\u03c6)\u00a0<\/strong>is\u00a0<strong>24\u00a0<\/strong>and\u00a0<strong>Chip Velocity (\u03b1)<\/strong>\u00a0is <strong>10<\/strong>.<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-4976 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-98.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-98.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-98-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-98-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-98-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Finally, Click on Calcu<span style=\"line-height: 1.6471\">late<\/span><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-4977 size-full\" style=\"line-height: 1.6471\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-99.png\" alt=\"How to Calculate and Solve for Cutting Ratio I Mechanics of Chips Formation\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-99.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-99-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-99-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/03\/Screenshot-99-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>As you can see from the screenshot above,\u00a0<strong>Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the cutting ratio and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents cutting ratio. To calculate the cutting ratio under the mechanics of chip formation, two&hellip;","protected":false},"author":5,"featured_media":14539,"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":[1425,1419,60,543,1420,1426,1424],"class_list":["post-4950","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-chip-velocity","tag-cutting-ratio","tag-engineering","tag-materials-and-metallurgical","tag-mechanics-of-chips-formation","tag-metal-forming-processes","tag-shear-angle","cs-entry"],"yoast_head":"<!-- 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