{"id":5310,"date":"2021-07-22T02:38:27","date_gmt":"2021-07-22T01:38:27","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=5310"},"modified":"2024-05-05T18:19:12","modified_gmt":"2024-05-05T17:19:12","slug":"how-to-calculate-and-solve-for-shaft-length-ball-mill-sizing","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/07\/22\/how-to-calculate-and-solve-for-shaft-length-ball-mill-sizing\/","title":{"rendered":"How to Calculate and Solve for Shaft Length | Ball Mill Sizing"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents shaft length. To calculate shaft length, four essential parameters are needed and these parameters are Applied Torque (T), Length of Shaft (L), Modulus of Rigidity (G)<\/strong> and Diameter of Shaft (D).<\/strong><\/p>\n

The formula for calculating shaft length:<\/strong><\/h3>\n

\u03b8 =\u00a0T x L x 32<\/sup>\/G x \u03c0 x D4<\/sup><\/sub><\/p>\n

Where:<\/p>\n

\u03b8 = Shaft Length
\nT = Applied Torque
\nL = Length of Shaft
\nG = Modulus of Rigidity
\nD = Diameter of Shaft<\/p>\n

Let’s solve an example;
\nFind the shaft length when the applied torque is 8, the length of shaft is 12, the modulus of rigidity is 4 and the diameter of shaft is 10.<\/p>\n

This implies that;<\/p>\n

T = Applied Torque = 8
\nL = Length of Shaft = 12
\nG = Modulus of Rigidity = 4
\nD = Diameter of Shaft = 10<\/p>\n

\u03b8 =\u00a0T x L x 32<\/sup>\/G x \u03c0 x D4<\/sup><\/sub>
\n\u03b8 =\u00a0(8) x (12) x 32<\/sup>\/(4) x \u03c0 x (10)4<\/sup><\/sub>
\nThat is, \u03b8 = 3072<\/sup>\/(4) x \u03c0 x (10000)<\/sub>
\n\u03b8 =\u00a03072<\/sup>\/125663.7<\/sub>
\n\u03b8 = 0.024<\/p>\n

Therefore, the\u00a0shaft length\u00a0<\/strong>is\u00a00.024 m.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Shaft Diameter | Ball Mill Sizing<\/a><\/p>\n

Calculating the Applied Torque when the Shaft Length, the Length of Shaft, the Modulus of Rigidity and the Diameter of Shaft are Given<\/strong><\/h3>\n

T = \u03b8 x G x \u03c0 x D4<\/sup><\/sup> \/ L x 32<\/sub><\/p>\n

Where;<\/p>\n

T = Applied Torque
\n\u03b8 = Shaft Length
\nL = Length of Shaft
\nG = Modulus of Rigidity
\nD = Diameter of Shaft<\/p>\n

Let’s solve an example;
\nFind the applied torque when the shaft length is 10, the length of shaft is 5, the modulus of rigidity is 4 and the diameter of shaft is 2.<\/p>\n

This implies that;<\/p>\n

\u03b8 = Shaft Length = 10
\nL = Length of Shaft = 5
\nG = Modulus of Rigidity = 4
\nD = Diameter of Shaft = 2<\/p>\n

T = \u03b8 x G x \u03c0 x D4<\/sup><\/sup> \/ L x 32<\/sub>
\nT = 10 x 4 x \u03c0 x 24<\/sup><\/sup> \/ 5 x 32<\/sub>
\nSo, T = 40 x \u03c0 x 16<\/sup> \/ 160<\/sub>
\nT = 2010.6<\/sup> \/ 160<\/sub>
\nT = 12.56<\/p>\n

Therefore, the\u00a0applied torque\u00a0<\/strong>is\u00a012.56 m.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Shaft Power | Ball Mill Length<\/a><\/p>\n

Calculating the Length of the Shaft when the Shaft Length, the Applied Torque, the Modulus of Rigidity, and the Diameter of the Shaft are Given<\/b><\/h3>\n

L = \u03b8 x G x \u03c0 x D4<\/sup><\/sup> \/ T x 32<\/sub><\/p>\n

Where;<\/p>\n

L = Length of Shaft
\n\u03b8 = Shaft Length
\nT = Applied Torque
\nG = Modulus of Rigidity
\nD = Diameter of Shaft<\/p>\n

Let’s solve an example;
\nFind the length of shaft when the shaft length is 10, the applied torque is 4, the modulus of rigidity is 6 and the diameter of shaft is 2.<\/p>\n

This implies that;<\/p>\n

\u03b8 = Shaft Length = 10
\nT = Applied Torque = 4
\nG = Modulus of Rigidity = 6
\nD = Diameter of Shaft = 2<\/p>\n

L = \u03b8 x G x \u03c0 x D4<\/sup><\/sup> \/ T x 32<\/sub>
\nL = 10 x 6 x \u03c0 x 24<\/sup><\/sup> \/ 4 x 32<\/sub>
\nThat is, L = 10 x 6 x \u03c0 x 16<\/sup> \/ 4 x 32<\/sub>
\nL = 3015.9<\/sup> \/ 128<\/sub>
\nL = 23.56<\/p>\n

Therefore, the\u00a0length of shaft\u00a0<\/strong>is\u00a023.56 m.<\/strong><\/p>\n

Calculating the Modulus of Rigidity when the Shaft Length, the Applied Torque, the Length of the Shaft, and the Diameter of the Shaft are Given<\/b><\/h3>\n

G = T x L x 32<\/sup> \/ \u03b8 x \u03c0 x D4<\/sup><\/sub><\/p>\n

Where;<\/p>\n

G = Modulus of Rigidity
\n\u03b8 = Shaft Length
\nT = Applied Torque
\nL = Length of Shaft
\nD = Diameter of Shaft<\/p>\n

Let’s solve an example;
\nFind the modulus of rigidity when the shaft length is 2, the applied torque is 10, the length of shaft is 6 and the diameter of shaft is 3.<\/p>\n

This implies that;<\/p>\n

\u03b8 = Shaft Length = 2
\nT = Applied Torque = 10
\nL = Length of Shaft = 6
\nD = Diameter of Shaft = 3<\/p>\n

G = T x L x 32<\/sup> \/ \u03b8 x \u03c0 x D4<\/sup><\/sub>
\nG = 10 x 6 x 32<\/sup> \/ 2 x \u03c0 x 34<\/sup><\/sub>
\nSo, G = 1920<\/sup> \/ 2 x \u03c0 x 81<\/sub>
\nG = 1920<\/sup> \/ 508.9<\/sub>
\nG = 3.77<\/p>\n

Therefore, the\u00a0modulus of rigidity\u00a0<\/strong>is\u00a03.77 m.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Mill Speed | Ball Mill Sizing<\/a><\/p>\n

Calculating the Diameter of Shaft when the Shaft Length, the Applied Torque, the Length of Shaft and the Modulus of Rigidity are Given<\/strong><\/h3>\n

D = 4<\/sup>\u221a(T x L x 32<\/sup> \/ \u03b8 x \u03c0 x G<\/sub>)<\/p>\n

Where;<\/p>\n

D = Diameter of Shaft
\n\u03b8 = Shaft Length
\nT = Applied Torque
\nL = Length of Shaft
\nG = Modulus of Rigidity<\/p>\n

Let’s solve an example;
\nFind the diameter of shaft when the shaft length is 14, the applied torque is 8, the length of shaft is 4 and the modulus of rigidity is 6.<\/p>\n

This implies that;<\/p>\n

\u03b8 = Shaft Length = 14
\nT = Applied Torque = 8
\nL = Length of Shaft = 4
\nG = Modulus of Rigidity = 6<\/p>\n

D = 4<\/sup>\u221a(T x L x 32<\/sup> \/ \u03b8 x \u03c0 x G<\/sub>)
\nD = 4<\/sup>\u221a(8 x 4 x 32<\/sup> \/ 14 x \u03c0 x 6<\/sub>)
\nSo, D = 4<\/sup>\u221a(1024<\/sup> \/ 263.8<\/sub>)
\nD = 4<\/sup>\u221a(3.88)
\nD = 7.88<\/p>\n

Therefore, the\u00a0diameter of shaft\u00a0<\/strong>is\u00a07.88 m.<\/strong><\/p>\n

How to Calculate Shaft Length With Nickzom Calculator<\/strong><\/h3>\n

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

\n

To get the answer and workings of the shaft length 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\u00a0Ball Mill Sizing<\/strong>\u00a0<\/strong>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

<\/p>\n

Now, Click on\u00a0Shaft Length<\/strong>\u00a0<\/strong>under\u00a0Ball Mill Sizing<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the shaft length according to the respective parameters which is the Applied Torque (T), Length of Shaft (L), Modulus of Rigidity (G)<\/strong> and Diameter of S<\/strong>haft (D).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the value appropriately and accordingly for the parameter as required by the Applied Torque (T)<\/strong> is 8<\/strong>, Length of Shaft (L)<\/strong> is 12<\/strong>, Modulus of Rigidity (G)<\/strong> is 4 <\/strong>and Diam<\/strong>eter of Shaft (D)<\/strong> is 14<\/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 shaft length and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents shaft length. To calculate shaft length, four essential parameters are needed and these parameters…","protected":false},"author":5,"featured_media":14727,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"link","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":[1518,1501,1521,60,1519,543,1520,1522],"class_list":["post-5310","post","type-post","status-publish","format-link","has-post-thumbnail","category-engineering","tag-applied-torque","tag-ball-mill-sizing","tag-diameter-of-shaft","tag-engineering","tag-length-of-shaft","tag-materials-and-metallurgical","tag-modulus-of-rigidity","tag-shaft-length","post_format-post-format-link","cs-entry"],"yoast_head":"\nHow 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