The image above represents rated static head. To calculate rated static head, three essential parameters are needed and these parameters are **Height of the Sprue from its Top to the Point of Metal Entry into the Mould Cavity (H), Height of the Casting System from its top (P)** and** Height of the Casting (C).**

**The formula for calculating rated static head**

H_{s}Â = H –Â ^{P2}Â /Â _{2C}

Where:

H_{s}Â = Rated Static Head

H = Height of the Sprue from its Top to the Point of Metal Entry into the Mould Cavity

P = Height of the Casting from its Top

C = Height of the Casting

Let’s solve an example;

Find the rated static head when the height of the sprue from its top to the point of metal entry into the mould cavity is 9,the height of the casting from its top is 5 and the height of the casting is 11.

This implies that;

H = Height of the Sprue from its Top to the Point of Metal Entry into the Mould Cavity = 9

P = Height of the Casting from its Top = 5

C = Height of the Casting = 11

H_{s}Â = H –Â ^{P2}Â /Â _{2C
}H_{s}Â = 9 –Â ^{52}Â /Â _{2 x 11}

Then, H_{s}Â = 9 –Â ^{25}Â /Â _{22}

H_{s} = 9 – 1.136

H_{s} = 7.86

Therefore, theÂ **rated static headÂ **isÂ **7.86 m.**

**Calculating the Height of the Sprue from its Top to the Point of Metal Entry into the Mould Cavity when the Rated Static Head, Height of the Casting System from its Top and the Height of the Casting are Given**

H = H_{s} +Â ^{P2}Â /Â _{2C}

Where;

H = Height of the Sprue from its Top to the Point of Metal Entry into the Mould Cavity

H_{s}Â = Rated Static Head

P = Height of the Casting from its Top

C = Height of the Casting

Let’s solve an example;

Find the height of the sprue when the rated static head is 25, the height of the casting system from its top is 8 and the height of the casting is 4.

This implies that;

H_{s} = Rated Static Head = 25

P = Height of the Casting from its Top = 8

C = Height of the Casting = 4

H = H_{s} +Â ^{P2}Â /Â _{2C}

H = 25 +Â ^{82}Â /Â _{2 x 4}

So, H = 25 + ^{64}Â /Â _{8}

H = 25 +Â 8

H = 33

Therefore, theÂ **height of the casting system from its topÂ **isÂ **33.**

Read more:Â How to Calculate and Solve for Time of Pouring | Design of Gating System

**Calculating the Height of the Casting System from its Top when the Rated Static Head, the Height of the Sprue from its Top to the Point of Metal Entry into Mould Cavity and the Height of the Casting are Given.**

p = – âˆš(H_{s} – H) x 2c

Where;

P = Height of the Casting from its Top

H_{s}Â = Rated Static Head

H = Height of the Sprue from its Top to the Point of Metal Entry into the Mould Cavity

C = Height of the Casting

Let’s solve an example;

Find the height of the casting from its top when the rated static head is 34, the height of the sprue from its top to the point of metal entry into the mould cavity is 28 and the height of the casting is 14.

This implies that;

H_{s} = Rated Static Head = 34

H = Height of the Sprue from its Top to the Point of Metal Entry into the Mould Cavity = 28

C = Height of the Casting = 14

p = – âˆš(H_{s} – H) x 2c

p = – âˆš(34 – 28) x 2(14)

That is, p = – âˆš6 x 28

p = – âˆš168

p = – 12.96

Therefore, theÂ **height of the casting system from its topÂ **isÂ **– 12.96.**

Read more:Â How to Calculate and Solve for Volume Ratio | Design of Gating System

**Calculating the Height of the Casting when the Rated Static Head, the Height of the Sprue from its Top to the Point of Metal Entry into Mould Cavity and the Height of the casting system from its top are Given**

c = – ^{p2} / _{(Hs – H) x 2}

Where;

C = Height of the Casting

H_{s}Â = Rated Static Head

H = Height of the Sprue from its Top to the Point of Metal Entry into the Mould Cavity

P = Height of the Casting from its Top

Let’s solve an example;

Find the height of the casting when the rated static head is 24, the height of the sprue from its top to the point of metal entry into the mould cavity is 12 and the height of the casting system from its top is 10.

This implies that;

H_{s} = Rated Static Head = 24

H = Height of the Sprue from its Top to the Point of Metal Entry into the Mould Cavity = 12

P = Height of the Casting from its Top = 10

c = – ^{p2} / _{(Hs – H) x 2}

c = – ^{102} / _{(24 – 12) x 2}

So, c = – ^{100} / _{12 x 2}

c = – ^{100} / _{24}

c = – 4.16

Therefore, theÂ **height of the castingÂ **isÂ **– 4.16.**

**How to Calculate Rated Static Head in the Design of Gating System Using Nickzom Calculator**

Nickzom Calculator â€“Â **The Calculator Encyclopedia** is capable of calculating the rated static head.

To get the answer and workings of the rated static head using the **Nickzom Calculator â€“ The Calculator Encyclopedia.Â **First, you need to obtain the app.

You can get this app via any of these means:

**Web**Â â€“Â https://www.nickzom.org/calculator-plus

To get access to theÂ **professionalÂ **version via web, you need toÂ **register**Â andÂ **subscribeÂ **for**Â NGN 1,500Â **per**Â annum**Â to have utter access to all functionalities.

You can also try theÂ **demoÂ **version viaÂ https://www.nickzom.org/calculator

**Android (Paid)**Â â€“Â https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator

**Android (Free)**Â â€“Â https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

**Apple (Paid)**Â â€“Â https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Once, you have obtained the calculator encyclopedia app, proceed to theÂ **Calculator Map,Â **then click on **Materials & Metallurgical****Â **underÂ **Engineering****.**

Now, Click on **Foundry Technology****Â **underÂ **Material & Metallurgical**

Now, Click onÂ **Design of Gating SystemÂ **underÂ **Foundry Technology**

Then, Click on **Rated Static Head****Â **underÂ **Design of Gating System**

The screenshot below displays the page or activity to enter your values, to get the answer for the rated static head according to the respective parameters which are the **Height of the Sprue from its Top to the Point of Metal Entry into the Mould Cavity (H), Height of the Casting System from its top (P)** and** Height of the Casting (C).**

Now, enter the values appropriately and accordingly for the parameters as required by the **Height of the Sprue from its Top to the Point of Metal Entry into the Mould Cavity (H)** is **9**,** Height of the Casting System from its top (P)Â **isÂ **5** and** Height of the Casting (C)** is **11**.

Finally, Click on Calculate

As you can see from the screenshot above,Â **Nickzom Calculator**â€“ The Calculator Encyclopedia solves for the rated static head and presents the formula, workings and steps too.