{"id":3231,"date":"2020-04-22T23:15:36","date_gmt":"2020-04-22T22:15:36","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=3231"},"modified":"2024-03-31T08:06:25","modified_gmt":"2024-03-31T07:06:25","slug":"how-to-calculate-and-solve-for-total-cross-sectional-area-of-gates-design-of-gating-system","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2020\/04\/22\/how-to-calculate-and-solve-for-total-cross-sectional-area-of-gates-design-of-gating-system\/","title":{"rendered":"How to Calculate and Solve for Total Cross-Sectional Area of Gates | Design of Gating System"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents total cross-sectional area of gates. To calculate total cross-sectional area of gates, three essential parameters are needed and these parameters are Mass of the Casting (G), Specific Speed of Pouring (Ks<\/sub>)<\/strong> and Time of Pouring (t).<\/strong><\/p>\n

The formula for calculating total cross-sectional area of gates:<\/p>\n

Fs<\/sub>\u00a0=\u00a0G<\/sup>\u00a0\/\u00a0tKs<\/sub><\/p>\n

Where:<\/p>\n

Fs<\/sub>\u00a0= Total Cross-Sectional Area of Gates
\nG = Mass of the Casting
\nKs<\/sub>\u00a0= Specific Speed Of Pouring
\nt = Time of Pouring<\/p>\n

Let’s solve an example;
\nFind the total cross-sectional area of gates when the mass of the casting is 10, specific speed of pouring is 18 and the time of pouring is 9.<\/p>\n

This implies that;<\/p>\n

G = Mass of the Casting = 10
\nKs<\/sub> = Specific Speed Of Pouring = 18
\nt = Time of Pouring = 9<\/p>\n

Fs<\/sub>\u00a0=\u00a0G<\/sup>\u00a0\/\u00a0tKs
\n<\/sub><\/sub>So, Fs<\/sub>\u00a0=\u00a010<\/sup>\u00a0\/\u00a09 x 18<\/sub>
\nFs<\/sub>\u00a0=\u00a010<\/sup>\u00a0\/\u00a0162<\/sub>
\nFs<\/sub>\u00a0=\u00a00.0617<\/b><\/p>\n

Therefore, the\u00a0total cross-sectional area of gates\u00a0<\/strong>is\u00a00.0617 m2<\/sup>.<\/strong><\/p>\n

Calculating the Mass of the Casting when the Total Cross-Sectional Area of Gates, Specific Speed of Pouring and the Time of Pouring are Given<\/strong><\/h3>\n

G = Fs<\/sub> x tKs<\/sub><\/p>\n

Where:<\/p>\n

G = Mass of the Casting
\nFs<\/sub>\u00a0= Total Cross-Sectional Area of Gates
\nKs<\/sub>\u00a0= Specific Speed Of Pouring
\nt = Time of Pouring<\/p>\n

Let’s solve an example;
\nFind the mass of the casting when the total cross-sectional area of gates is 15, the specific speed of pouring is 7 and the time of pouring is 5.<\/p>\n

This implies that;<\/p>\n

Fs<\/sub> = Total Cross-Sectional Area of Gates = 15
\nKs<\/sub> = Specific Speed Of Pouring = 7
\nt = Time of Pouring = 5<\/p>\n

G = Fs<\/sub> x tKs<\/sub>
\nThen, G = 15 x 5(7)
\nG = 15 x 35
\nG = 525<\/p>\n

Therefore, the\u00a0mass of the casting\u00a0<\/strong>is\u00a0525 m.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Volume Ratio | Design of Gating System<\/a><\/p>\n

Calculating the Specific Speed of Pouring when the Total Cross-Sectional Area of Gates, Mass of the Casting and the Time of Pouring are Given<\/strong><\/h3>\n

Ks<\/sub> = G<\/sup> \/ Fs<\/sub> x t<\/sub><\/p>\n

Where;<\/p>\n

Ks<\/sub>\u00a0= Specific Speed Of Pouring
\nFs<\/sub>\u00a0= Total Cross-Sectional Area of Gates
\nG = Mass of the Casting
\nt = Time of Pouring<\/p>\n

Let’s solve an example;
\nFind the specific speed of pouring when the total cross-sectional area of gates is 20, the mass of the casting is 18 and the time of pouring is 10.<\/p>\n

This implies that;<\/p>\n

Fs<\/sub> = Total Cross-Sectional Area of Gates = 20
\nG = Mass of the Casting = 18
\nt = Time of Pouring = 10<\/p>\n

Ks<\/sub> = G<\/sup> \/ Fs<\/sub> x t<\/sub>
\nThen, Ks<\/sub> = 18<\/sup> \/ 20 x 10<\/sub>
\nKs<\/sub> = 18<\/sup> \/ 200<\/sub>
\nKs<\/sub> = 0.09<\/p>\n

Therefore, the\u00a0specific speed of pouring\u00a0<\/strong>is\u00a00.09.<\/strong><\/p>\n

Calculating the Time of Pouring when the Total Cross-Sectional Area of Gates, the Mass of the Casting and the Specific Speed of Pouring are Given<\/strong><\/h3>\n

t = G<\/sup> \/ Fs<\/sub> x Ks<\/sub><\/sub><\/p>\n

Where;<\/p>\n

t = Time of Pouring
\nFs<\/sub>\u00a0= Total Cross-Sectional Area of Gates
\nG = Mass of the Casting
\nKs<\/sub> = Specific Speed Of Pouring<\/p>\n

Let’s solve an example;
\nFind the time of pouring when the total cross-sectional area of gates is 32, the mass of the casting is 22 and the specific speed of pouring is 14.<\/p>\n

This implies that;<\/p>\n

Fs<\/sub> = Total Cross-Sectional Area of Gates = 32
\nG = Mass of the Casting = 22
\nKs<\/sub> = Specific Speed Of Pouring = 14<\/p>\n

t = G<\/sup> \/ Fs<\/sub> x Ks<\/sub><\/sub>
\nSo, t = 22<\/sup> \/ 32 x 14<\/sub>
\nt = 22<\/sup> \/ 448<\/sub>
\nt = 0.049<\/p>\n

Therefore, the\u00a0time of pouring\u00a0<\/strong>is\u00a00.049.<\/strong><\/p>\n

How to Calculate Total Cross-Sectional Area of Gates Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the total cross-sectional area of gates.<\/p>\n

To get the answer and workings of the total cross-sectional area of gates 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 1,500\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 & Metallurgical<\/strong>\u00a0<\/b>under\u00a0Engineering<\/strong>.<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on\u00a0Foundry Technology<\/strong>\u00a0u<\/strong>nder\u00a0Material & Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on\u00a0Design of Gating System\u00a0<\/strong>under\u00a0Foundry Technology<\/strong><\/p>\n

\"\"<\/p>\n

Then, Click on Total Cross-Sectional Area of Gates<\/strong>\u00a0<\/strong>under\u00a0Design of Gating System<\/strong><\/p>\n

\"How<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the total cross-sectional area of gates according to the respective parameters which are the Mass of the Casting (G), Specific Speed of Pouring (Ks<\/sub>)<\/strong> and Time of Pouring (t).<\/strong><\/p>\n

\"\"<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Mass of the Casting (G)\u00a0<\/strong>is\u00a010<\/strong>, Specific Speed of Pouring (Ks<\/sub>)\u00a0<\/strong>is\u00a018<\/strong> and Time of Pouring (t)<\/strong> is 9<\/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 total cross-sectional area of gates and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents total cross-sectional area of gates. To calculate total cross-sectional area of gates, three essential…","protected":false},"author":5,"featured_media":13629,"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":""},"categories":[47],"tags":[870,60,871,893,543,918,919,896],"class_list":["post-3231","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-design-of-gating-system","tag-engineering","tag-foundry-technology","tag-mass-of-casting","tag-materials-and-metallurgical","tag-specific-speed-of-pouring","tag-time-of-pouring","tag-total-cross-sectional-area-of-gates","cs-entry"],"yoast_head":"\nHow 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