{"id":5461,"date":"2021-07-23T02:00:35","date_gmt":"2021-07-23T01:00:35","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=5461"},"modified":"2024-05-07T16:23:40","modified_gmt":"2024-05-07T15:23:40","slug":"how-to-calculate-and-solve-for-mass-of-cylindrical-shaft-material-selection","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/07\/23\/how-to-calculate-and-solve-for-mass-of-cylindrical-shaft-material-selection\/","title":{"rendered":"How to Calculate and Solve for Mass of Cylindrical Shaft | Material Selection"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents the mass of the cylindrical shaft. To calculate the mass of a cylindrical shaft, five essential parameters are needed, and these parameters are the Factor of Safety (N), Twisting Moment (M), Length of Shaft (L), Density (\u03c1), and Shear Stress at Fracture (\u03c4f).<\/p>\n

The formula for calculating the mass of cylindrical shaft:<\/strong><\/h3>\n

m = (2NM)2\/3<\/sup>(\u03c01\/3<\/sup>L)(\u03c1<\/sup>\/\u03c4f2\/3<\/sup><\/sub>)<\/p>\n

Where:<\/p>\n

m = Mass of Cylindrical Shaft
\nN = Factor of Safety
\nM = Twisting Moment
\nL = Length of Shaft
\n\u03c1 = Density
\n\u03c4f<\/sub>\u00a0= Shear Stress at Fracture<\/p>\n

Let’s solve an example;
\nFind the mass of cylindrical shaft when the factor of safety is 4, the twisting moment is 2, the length of shaft is 7, the density is 6 and the shear stress at fracture is 10.<\/p>\n

This implies that;<\/p>\n

N = Factor of Safety = 4
\nM = Twisting Moment = 2
\nL = Length of Shaft = 7
\n\u03c1 = Density = 6
\n\u03c4f<\/sub> = Shear Stress at Fracture = 10<\/p>\n

m = (2NM)2\/3<\/sup>(\u03c01\/3<\/sup>L)(\u03c1<\/sup>\/\u03c4f2\/3<\/sup><\/sub>)
\nm = (2(4)(2))2\/3<\/sup>\u00a0(\u03c01\/3<\/sup>(7)) (6<\/sup>\/102\/3<\/sup><\/sub>)
\nSo, m = (16)2\/3<\/sup> ((1.46)(7)) (6<\/sup>\/4.64<\/sub>)
\nm = (6.349) (10.25) (1.29)
\nm = 84.14<\/p>\n

Therefore, the\u00a0mass of cylindrical shaft\u00a0<\/strong>is\u00a084.14 kg.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Performance Index | Material Selection<\/a><\/p>\n

How to Calculate Mass of Cylindrical Shaft With Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the mass of cylindrical shaft.<\/p>\n

\n

To get the answer and workings of the mass of cylindrical shaft 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<\/div>\n

<\/p>\n

Now, Click on\u00a0Material Selection<\/strong>\u00a0<\/strong>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on\u00a0Mass of Cylindrical Shaft <\/strong>under\u00a0Material Selection<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the mass of cylindrical shaft according to the respective parameter which is the Factor of Safety (N), Twisting Moment (M), Length of Shaft (L), Density (\u03c1)<\/strong> and Shear Stress at Fracture (\u03c4f<\/sub>).<\/strong><\/p>\n

\"\"<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Factor of Safety (N)<\/strong> is 4<\/strong>, Twisting Moment (M)<\/strong> is 2<\/strong>, Length of Shaft (L)<\/strong> is 7<\/strong>, Density (\u03c1) <\/strong>is\u00a06<\/strong> and Shear Stress at Fracture (\u03c4f<\/sub>)<\/strong> is 10<\/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 mass of cylindrical shaft and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents the mass of the cylindrical shaft. To calculate the mass of a cylindrical shaft,…","protected":false},"author":5,"featured_media":14791,"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":[507,60,1542,1519,1544,1541,543,1543,1539],"class_list":["post-5461","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-density","tag-engineering","tag-factor-of-safety","tag-length-of-shaft","tag-mass-of-cylindrical-shaft","tag-material-selection","tag-materials-and-metallurgical","tag-shear-stress-at-fracture","tag-twisting-moment","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Mass of Cylindrical Shaft | Material Selection<\/title>\n<meta name=\"description\" content=\"Learn the steps and the formula on How to Calculate Mass of Cylindrical Shaft. 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