{"id":3152,"date":"2020-04-20T16:40:47","date_gmt":"2020-04-20T15:40:47","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=3152"},"modified":"2024-03-31T07:11:05","modified_gmt":"2024-03-31T06:11:05","slug":"how-to-calculate-and-solve-for-total-cross-sectional-areas-of-gates-design-of-gating-system-by-a-hydraulic-method","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2020\/04\/20\/how-to-calculate-and-solve-for-total-cross-sectional-areas-of-gates-design-of-gating-system-by-a-hydraulic-method\/","title":{"rendered":"How to Calculate and Solve for Total Cross-Sectional Areas of Gates | Design of Gating System by a Hydraulic Method"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents total cross-sectional areas of gates. To calculate total cross-sectional areas of gates, four essential parameters are needed and these parameters are mass of the casting (G), density of melt (\u03c1), pouring time (t)\u00a0<\/strong>and\u00a0pouring speed (v).<\/strong><\/p>\n

The Formula for Calculating Total Cross-sectional Areas of Gates<\/strong><\/h3>\n

The formula to calculate total cross-sectional areas of gates is:<\/p>\n

Fg<\/sub>\u00a0=\u00a0G<\/sup>\u00a0\/\u00a0\u03c1tv<\/sub><\/p>\n

Where:<\/p>\n

Fg<\/sub>\u00a0= Total Cross-Sectional Area of Gates
\nG = Mass of the Casting
\n\u03c1 = Density of Melt
\nt = Pouring Time
\nv = Pouring Speed<\/p>\n

Let’s solve an example;
\nFind the total cross-sectional areas of gates when mass of the casting is 12, density of melt is 16, pouring time is 5 and pouring speed is 25.<\/p>\n

This implies that;<\/p>\n

G = Mass of the Casting = 12
\n\u03c1 = Density of Melt = 16
\nt = Pouring Time = 5
\nv = Pouring Speed = 25<\/p>\n

Fg<\/sub>\u00a0=\u00a0G<\/sup>\u00a0\/\u00a0\u03c1tv<\/sub>
\nSo, Fg<\/sub>\u00a0=\u00a012<\/sup>\u00a0\/\u00a016 x 5 x 25<\/sub>
\nFg<\/sub>\u00a0=\u00a012<\/sup>\u00a0\/\u00a02000<\/sub>
\nFg<\/sub>\u00a0=\u00a00.006<\/p>\n

Therefore, the\u00a0total cross-sectional areas of gates\u00a0<\/strong>is\u00a00.006 m2<\/sup>.<\/strong><\/p>\n

Calculating the Mass of the Casting when the Total Cross-Sectional Areas of Gates, the Density of Melt, the Pouring Time and the Pouring Speed are Given.<\/strong><\/h4>\n

G = Fg<\/sub> x \u03c1tv<\/p>\n

Where;<\/p>\n

G = Mass of the Casting
\nFg<\/sub>\u00a0= Total Cross-Sectional Area of Gates
\n\u03c1 = Density of Melt
\nt = Pouring Time
\nv = Pouring Speed<\/p>\n

Let’s solve an example;
\nFind the mass of the casting when the total cross-sectional areas of gates is 32, the density of melt is 4, the pouring time is 10 and the pouring speed is 2.<\/p>\n

This implies that;<\/p>\n

Fg<\/sub> = Total Cross-Sectional Area of Gates = 32
\n\u03c1 = Density of Melt = 4
\nt = Pouring Time\u00a0 = 10
\nv = Pouring Speed = 2<\/p>\n

G = Fg<\/sub> x \u03c1tv
\nThen, G = 32 x 4 x 10 x 2
\nG = 2560<\/p>\n

Therefore, the\u00a0mass of the Casting\u00a0<\/strong>is\u00a02560 m.<\/strong><\/p>\n

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

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

\u03c1 = G \/ Fg<\/sub><\/sup> \/ tv<\/sub><\/p>\n

Where;<\/p>\n

\u03c1 = Density of Melt
\nFg<\/sub>\u00a0= Total Cross-Sectional Area of Gates
\nG = Mass of the Casting
\nt = Pouring Time
\nv = Pouring Speed<\/p>\n

Let’s solve an example;
\nFind the density of melt when the total cross-sectional area of gates is 15, the mass of the casting is 30, the pouring time is 8 and the pouring speed is 12.<\/p>\n

This implies that;<\/p>\n

Fg<\/sub> = Total Cross-Sectional Area of Gates = 15
\nG = Mass of the Casting = 30
\nt = Pouring Time = 8
\nv = Pouring Speed = 12<\/p>\n

\u03c1 = G \/ Fg<\/sub><\/sup> \/ tv<\/sub>
\nThat is, \u03c1 = 30 \/ 15<\/sup> \/ 8 x 12<\/sub>
\n\u03c1 = 2<\/sup> \/ 96<\/sub>
\n\u03c1 = 0.02<\/p>\n

Therefore, the\u00a0density of melt\u00a0<\/strong>is\u00a00.02.<\/strong><\/p>\n

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

t = G \/ Fg<\/sub><\/sup> \/ \u03c1v<\/sub><\/p>\n

Where;<\/p>\n

t = Pouring Time
\nFg<\/sub>\u00a0= Total Cross-Sectional Area of Gates
\nG = Mass of the Casting
\n\u03c1 = Density of Melt
\nv = Pouring Speed<\/p>\n

Let’s solve an example;
\nFind the pouring time when the total cross-sectional areas of gates is 20, the mass of the casting is 14, the density of melt is 16 and the pouring speed is 10.<\/p>\n

This implies that;<\/p>\n

Fg<\/sub> = Total Cross-Sectional Area of Gates = 20
\nG = Mass of the Casting = 14
\n\u03c1 = Density of Melt = 16
\nv = Pouring Speed = 10<\/p>\n

t = G \/ Fg<\/sub><\/sup> \/ \u03c1v<\/sub>
\nSo, t = 14 \/ 20<\/sup> \/ 16 x 10<\/sub>
\nt = 0.7<\/sup> \/ 160<\/sub>
\nt = 0.004375<\/p>\n

Therefore, the\u00a0pouring time\u00a0<\/strong>is\u00a00.004375 s.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Pouring Time for Medium-Sized and Large Casting up to 1000kg in Mass | Design of Gating System<\/a><\/p>\n

Calculating the Pouring Speed when the Total Cross-Sectional Areas of Gates, the Mass of the Casting, the Density of Melt and the Pouring Time are Given.<\/strong><\/h4>\n

v = G \/ Fg<\/sub><\/sup> \/ \u03c1t<\/sub><\/p>\n

Where;<\/p>\n

v = Pouring Speed
\nFg<\/sub>\u00a0= Total Cross-Sectional Area of Gates
\nG = Mass of the Casting
\n\u03c1 = Density of Melt
\nt = Pouring Time<\/p>\n

Let’s solve an example;
\nFind the pouring speed when the total cross-sectional areas of gates is 7, mass of the casting is 28, density of melt is 21 and the pouring time is 2.<\/p>\n

This implies that;<\/p>\n

Fg<\/sub> = Total Cross-Sectional Area of Gates = 7
\nG = Mass of the Casting = 28
\n\u03c1 = Density of Melt = 21
\nt = Pouring Time = 2<\/p>\n

v = G \/ Fg<\/sub><\/sup> \/ \u03c1t<\/sub>
\nSo, v = 28 \/ 7<\/sup> \/ 21 x 2<\/sub>
\nv = 4<\/sup> \/ 42<\/sub>
\nv = 0.095<\/p>\n

Therefore, the\u00a0pouring speed\u00a0<\/strong>is\u00a00.095.<\/strong><\/p>\n

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

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

To get the answer and workings of the total cross-sectional areas 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 Materials & Metallurgical<\/strong>\u00a0<\/b>under\u00a0Engineering<\/strong>.<\/strong><\/p>\n

\"\"<\/p>\n

Then, Click on Foundry Technology<\/strong>\u00a0<\/strong>under\u00a0Material & Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

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

\"\"<\/p>\n

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

\"\"<\/p>\n

Then, the screenshot below displays the page or activity to enter your values, to get the answer for the total cross-sectional areas of gates according to the respective parameters which are the mass of the casting (G), density of melt (\u03c1), pouring time (t)\u00a0<\/strong>and\u00a0pouring speed (v).<\/strong><\/p>\n

\"How<\/p>\n

So, enter the values appropriately and accordingly for the parameters as required by the mass of the casting (G)<\/strong> is 12<\/strong>, density of melt (\u03c1)<\/strong> is 16<\/strong>, pouring time (t) <\/strong>is 5 <\/strong>and\u00a0pouring speed (v)<\/strong> is 25<\/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 areas of gates and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents total cross-sectional areas of gates. To calculate total cross-sectional areas of gates, four essential…","protected":false},"author":5,"featured_media":13584,"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":[894,870,60,871,893,543,869,895,896],"class_list":["post-3152","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-density-of-melt","tag-design-of-gating-system","tag-engineering","tag-foundry-technology","tag-mass-of-casting","tag-materials-and-metallurgical","tag-pouring-speed","tag-pouring-time","tag-total-cross-sectional-area-of-gates","cs-entry"],"yoast_head":"\nHow 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