{"id":4456,"date":"2020-10-03T19:30:39","date_gmt":"2020-10-03T18:30:39","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=4456"},"modified":"2024-04-22T17:57:58","modified_gmt":"2024-04-22T16:57:58","slug":"how-to-calculate-and-solve-for-turbine-stiffness-irrigation-water-requirement","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2020\/10\/03\/how-to-calculate-and-solve-for-turbine-stiffness-irrigation-water-requirement\/","title":{"rendered":"How to Calculate and Solve for Turbine Stiffness | Irrigation Water Requirement"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents turbine stiffness. To calculate turbine stiffness, three essential parameters are needed and these parameters are Modulus of Elasticity for Tubing (E), Moment of Inertia of Tubing (I)\u00a0<\/strong>and\u00a0Mean Radius of Tubing (r).<\/strong><\/p>\n

The formula for calculating turbine stiffness:<\/p>\n

\u03c3 =\u00a0EI<\/sup>\u00a0\/\u00a0r\u00b3<\/sub><\/p>\n

Where:<\/p>\n

\u03c3 = Turbine Stiffness
\nE = Modulus of Elasticity for Tubing
\nI = Moment of Inertia of Tubing
\nr = Mean Radius of Tubing<\/p>\n

Let’s solve an example;
\nFind the turbine stiffness when the modulus of elasticity for tubing is 12, the moment of inertia of tubing is 10 and the mean radius of tubing is 4.<\/p>\n

This implies that;<\/p>\n

E = Modulus of Elasticity for Tubing = 12
\nI = Moment of Inertia of Tubing = 10
\nr = Mean Radius of Tubing = 4<\/p>\n

\u03c3 =\u00a0EI<\/sup>\u00a0\/\u00a0r\u00b3<\/sub>
\n\u03c3 =\u00a0(12)(10)<\/sup>\u00a0\/\u00a0(4)\u00b3<\/sub>
\nThat is, \u03c3 = 120<\/sup>\u00a0\/\u00a064<\/sub>
\n\u03c3 = 1.875<\/p>\n

Therefore, the\u00a0turbine stiffness\u00a0<\/strong>is\u00a01.875.<\/strong><\/p>\n

Calculating for the Modulus of Elasticity for Tubing when the Turbine Stiffness, the Moment of Inertia of Tubing and the Mean Radius of Tubing are Given<\/strong><\/h3>\n

E = \u03c3 x r\u00b3<\/sup> \/ I<\/sub><\/p>\n

Where;<\/p>\n

E = Modulus of Elasticity for Tubing
\n\u03c3 = Turbine Stiffness
\nI = Moment of Inertia of Tubing
\nr = Mean Radius of Tubing<\/p>\n

Let’s solve an example;
\nFind the modulus of elasticity for tubing when the turbine stiffness is 20, the moment of inertia of tubing is 10 and the mean radius of tubing is 2.<\/p>\n

This implies that;<\/p>\n

\u03c3 = Turbine Stiffness = 20
\nI = Moment of Inertia of Tubing = 10
\nr = Mean Radius of Tubing = 2<\/p>\n

E = \u03c3 x r\u00b3<\/sup> \/ I<\/sub>
\nE = 20 x 2\u00b3<\/sup> \/ 10<\/sub>
\nThen, E = 20 x 8<\/sup> \/ 10<\/sub>
\nE = 160<\/sup> \/ 10<\/sub>
\nE = 16<\/p>\n

Therefore, the\u00a0modulus of elasticity for tubing\u00a0<\/strong>is\u00a016.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Turbine Stiffness (Correction Factor) | Irrigation Water Requirement<\/a><\/p>\n

Calculating for the Moment of Inertia of Tubing when the Turbine Stiffness, the Modulus of Elasticity for Tubing and the Mean Radius of Tubing are Given<\/strong><\/h3>\n

I = \u03c3 x r\u00b3<\/sup> \/ E<\/sub><\/p>\n

Where;<\/p>\n

I = Moment of Inertia of Tubing
\n\u03c3 = Turbine Stiffness
\nE = Modulus of Elasticity for Tubing
\nr = Mean Radius of Tubing<\/p>\n

Let’s solve an example;
\nFind the moment of inertia of tubing when the turbine stiffness is 24, the modulus of elasticity for tubing is 14 and the mean radius of tubing is 4.<\/p>\n

This implies that;<\/p>\n

\u03c3 = Turbine Stiffness = 24
\nE = Modulus of Elasticity for Tubing = 14
\nr = Mean Radius of Tubing = 4<\/p>\n

I = \u03c3 x r\u00b3<\/sup> \/ E<\/sub>
\nI = 24 x 4\u00b3<\/sup> \/ 14<\/sub>
\nSo, I = 24 x 64<\/sup> \/ 14<\/sub>
\nI = 1536<\/sup> \/ 14<\/sub>
\nI = 109.7<\/p>\n

Therefore, the\u00a0moment of inertia of tubing\u00a0<\/strong>is\u00a0109.7.<\/strong><\/p>\n

Calculating for the Mean Radius of Tubing when the Turbine Stiffness, the Moment of Inertia of Tubing and the Modulus of Elasticity for Tubing are Given<\/strong><\/h3>\n

r = 3<\/sup>\u221a(EI<\/sup> \/ \u03c3<\/sub>)<\/p>\n

Where;<\/p>\n

r = Mean Radius of Tubing
\n\u03c3 = Turbine Stiffness
\nE = Modulus of Elasticity for Tubing
\nI = Moment of Inertia of Tubing<\/p>\n

Let’s solve an example;
\nFind the mean radius of tubing when the turbine stiffness is 18, the modulus of elasticity is 28 and the moment of inertia of tubing is 10<\/p>\n

This implies that;<\/p>\n

\u03c3 = Turbine Stiffness = 18
\nE = Modulus of Elasticity for Tubing = 28
\nI = Moment of Inertia of Tubing = 10<\/p>\n

r = 3<\/sup>\u221a(EI<\/sup> \/ \u03c3<\/sub>)
\nr = 3<\/sup>\u221a((28)(10)<\/sup> \/ 18<\/sub>)
\nThen, r = 3<\/sup>\u221a(280<\/sup> \/ 18<\/sub>)
\nr = 3<\/sup>\u221a15.55
\nr = 2.49<\/p>\n

Therefore, the\u00a0mean radius of tubing\u00a0<\/strong>is\u00a02.49.<\/strong><\/p>\n

How to Calculate Turbine Stiffness With Nickzom Calculator<\/strong><\/h3>\n

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

To get the answer and workings of the turbine stiffness 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\u00a0Agricultural<\/strong>\u00a0<\/b>under\u00a0Engineering<\/strong>.<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on\u00a0Irrigation Water Requirement\u00a0<\/strong>under\u00a0Agricultural<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on Turbine Stiffness<\/strong>\u00a0<\/strong>under\u00a0Irrigation Water Requirement<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the turbine stiffness according to the respective parameters which is the Modulus of Elasticity for Tubing (E), Moment of Inertia of Tubing (I)\u00a0<\/strong>and\u00a0Mean Radius of Tubing (r).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Modulus of Elasticity for Tubing (E)<\/strong> is 12<\/strong>, Moment of Inertia of Tubing (I) <\/strong>is 10 <\/strong>and\u00a0Mean Radi<\/strong>us of Tubing (r)<\/strong> is 4<\/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 turbine stiffness and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents turbine stiffness. To calculate turbine stiffness, three essential parameters are needed and these parameters…","protected":false},"author":5,"featured_media":14287,"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":[828,60,1207,1318,1321,1317,1322],"class_list":["post-4456","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-agricultural","tag-engineering","tag-irrigation-water-requirement","tag-mean-radius-of-tubing","tag-modulus-of-elasticity-for-tubing","tag-moment-of-inertia-of-tubing","tag-turbine-stiffness","cs-entry"],"yoast_head":"\nHow 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