## How to Calculate and Solve for Total Cross-Sectional Area of Gates | Design of Gating System

The image above represents total cross-sectional area of gates.

To compute for 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) and Time of Pouring (t).

The formula for calculating total cross-sectional area of gates:

Fs = G / tKs

Where:

Fs = Total Cross-Sectional Area of Gates
G = Mass of the Casting
Ks = Specific Speed Of Pouring
t = Time of Pouring

Let’s solve an example;
Find 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.

This implies that;

G = Mass of the Casting = 10
Ks = Specific Speed Of Pouring = 18
t = Time of Pouring = 9

Fs = G / tKs
Fs = 10 / 9 x 18
Fs = 10 / 162
Fs = 0.0617

Therefore, the total cross-sectional area of gates is 0.0617 m2.

Calculating the Mass of the Casting when the Total Cross-Sectional Area of Gates, Specific Speed of Pouring and the Time of Pouring is Given.

G = Fs x tKs

Where:

G = Mass of the Casting
Fs = Total Cross-Sectional Area of Gates
Ks = Specific Speed Of Pouring
t = Time of Pouring

Let’s solve an example;
Find 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.

This implies that;

Fs = Total Cross-Sectional Area of Gates = 15
Ks = Specific Speed Of Pouring = 7
t = Time of Pouring = 5

G = Fs x tKs
G = 15 x 5(7)
G = 15 x 35
G = 525

Therefore, the mass of the casting is 525 m.

## How to Calculate and Solve for Volume Ratio | Design of Gating System

The image above represents volume ratio.

To compute for volume ratio, two essential parameters are needed and these parameters are Mass of the Liquid Metal filling the Mould Cavity, Gates and Risers (G) and Casting Volume (V).

The formula for calculating volume ratio:

Kv = G / V

Where:

Kv = Volume Ratio
G = Mass of the Liquid Metal Filling the Mould Cavity,Gates and Risers
V = Casting Volume

Let’s solve an example;
Find the volume ratio when the mass of the liquid metal filling the mould cavity, gates and risers is 12 and the casting volume is 24.

This implies that;

G = Mass of the Liquid Metal Filling the Mould Cavity,Gates and Risers = 12
V = Casting Volume  = 24

Kv = G / V
Kv = 12 / 24
Kv = 0.5

Therefore, the volume ratio is 0.5.

Calculating the Mass of the Liquid Metal Filling the Mould Cavity, Gates and Risers when the Volume Ratio and the Casting Volume is Given.

G = Kv x V

Where;

G = Mass of the Liquid Metal Filling the Mould Cavity,Gates and Risers
Kv = Volume Ratio
V = Casting Volume

Let’s solve an example;
Find the mass of the liquid metal filling the mould cavity, gates and risers when the volume ratio is 15 and the casting volume is 10.

This implies that;

Kv = Volume Ratio = 15
V = Casting Volume = 10

G = Kv x V
G = 15 x 10
G = 150

Therefore, the mass of the liquid metal filling the mould cavity,gates and risers is 150.

## How to Calculate and Solve for Co-efficient allowing for Friction | Design of Gating System

The image above represents co-efficient allowing for friction.

To compute for co-efficient allowing for friction, two essential parameters are needed and these parameters are Friction Co-efficient of the Gating System (μ1) and Friction Co-efficient of the Mould (μ2).

The formula for calculating co-efficient allowing for friction:

μ = μ1 x μ2

Where:

μ = Co-efficient allowing for Friction
μ1 = Friction Co-efficient of the Gating System
μ2 = Friction Co-efficient of the Mould

Let’s solve an example;
Find the co-efficient allowing for friction when the friction co-efficient of the gating system is 10 and the friction co-efficient of the mould is 14.

This implies that;

μ1 = Friction Co-efficient of the Gating System = 10
μ2 = Friction Co-efficient of the Mould = 14

μ = μ1 x μ2
μ = 10 x 14
μ = 140

Therefore, the co-efficient allowing for friction is 140.

Calculating the Friction Co-efficient of the Gating System when the Co-efficient Allowing for Friction and the Friction Co-efficient of the Mould is Given.

μ1 = μ / μ2

Where;

μ1 = Friction Co-efficient of the Gating System
μ = Co-efficient allowing for Friction
μ2 = Friction Co-efficient of the Mould

Let’s solve an example;
Find the friction co-efficient of the gating system when the co-efficient allowing for friction is 45 and the friction co-efficient of the mould is 15.

This implies that;

μ = Co-efficient allowing for Friction – 45
μ2 = Friction Co-efficient of the Mould = 15

μ1 = μ / μ2
μ1 = 45 / 15
μ1 = 3

Therefore, the friction co-efficient of the gating system is 3.

Calculating the Friction Co-efficient of the Mould when the Co-efficient Allowing for Friction and the Friction Co-efficient of the Gating System is Given.

μ2 = μ / μ1

Where;

μ2 = Friction Co-efficient of the Mould
μ = Co-efficient allowing for Friction
μ1 = Friction Co-efficient of the Gating System

Let’s solve an example;
Find the friction co-efficient of the mould when the co-efficient allowing for friction is 50 and the friction co-efficient of the gating system is 25.

This implies that;

μ = Co-efficient allowing for Friction = 50
μ1 = Friction Co-efficient of the Gating System = 25

μ2 = μ / μ1
μ2 = 50 / 25
μ2 = 2

Therefore, the friction co-efficient of the mould is 2.

## How to Calculate and Solve for Rated Static Head (for Gating at Mould Parting) | Design of Gating System

The image above represents rated static head (for Gating at Mould Parting).

To compute for rated static head, two 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) and Height of the Casting (C).

The formula for calculating rated static head (for gating at mould parting).

Hs = H – C8

Where:

Hs = Rated Static Head (for gating at mould parting)
H = Height of the Sprue from its Top to the Point of Metal Entry into the Mould Cavity
C = Height of Casting

Let’s solve an example;
Find the rated static head (for gating at mould parting) when the height of the sprue from its top to the point of metal entry into the mould cavity is 11 and the height of casting is 19.

This implies that;

H = Height of the Sprue from its Top to the Point of Metal Entry into the Mould Cavity = 11
C = Height of Casting = 19

Hs = H – C8
Hs = 11 – 19 / 8
Hs = 11 – 2.375
Hs = 8.625

Therefore, the rated static head (for gating at mould parting) is 8.625 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 (for gating at mould parting) and the Height of Casting is Given.

H = Hs + C8

Where;

H = Height of the Sprue from its Top to the Point of Metal Entry into the Mould Cavity
Hs = Rated Static Head (for gating at mould parting)
C = Height of Casting

Let’s solve an example;
Find the height of the sprue from its top to the point of metal entry into the mould cavity when the rated static head is 22 and the height of casting is 8.

This implies that;

Hs = Rated Static Head (for gating at mould parting) = 22
C = Height of Casting = 8

H = Hs + C8
H = 22 + 88
H = 22 + 1
H = 23

Therefore, the height of the sprue from its top to the point of metal entry into the mould cavity is 23 m.

Calculating the Height of Casting when the Rated Static Head (for gating at mould parting) and the Height of the Sprue from its Top to the Point of Metal Entry into the Mould Cavity is Given.

c = – (Hs – H) 8

Where;

C = Height of Casting
Hs = Rated Static Head (for gating at mould parting)
H = Height of the Sprue from its Top to the Point of Metal Entry into the Mould Cavity

Let’s solve an example;
Find the height of casting when the rated static head is 40 and the height of the sprue from its top of the point of metal entry into the mould cavity is 24.

This implies that;

Hs = Rated Static Head (for gating at mould parting) = 40
H = Height of the Sprue from its Top to the Point of Metal Entry into the Mould Cavity = 24

c = – (Hs – H) 8
c = – (40 – 24) 8
c = – (16) 8
c = – 128

Therefore, the height of casting is – 128 m.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the rated static head (for gating at mould parting).

To get the answer and workings of the rated static head (for gating at mould parting) using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

To get access to the professional version via web, you need to register and subscribe for NGN 1,500 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials & Metallurgical under Engineering.

Now, Click on Foundry Technology under Material & Metallurgical

Now, Click on Design of Gating System under Foundry Technology

Now, Click on Rated Static Head (for gating at mould parting) under 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 (for gating at mould parting) 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) 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 11 and Height of the Casting (C) is 19.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the rated static head (for gating at mould parting) and presents the formula, workings and steps too.

## How to Calculate and Solve for Rated Static Head (in Top Gating) | Design of Gating System

The image represents rated static head (in top gating).

To compute for rated static head (int top gating), one essential parameter is needed and the parameter is Height of the Sprue from its Top to the Point of Metal Entry into the Mould Cavity (H).

The formula for calculating rated static head (in top gating).

Hs = H

Where:

Hs = Rated Static Head (in top Gating)
H = Height of the Sprue from its Top to the Point of Metal Entry into the Mould Cavity

Let’s solve an example;
Find the rated static head (in top gating) when the height of the sprue from its top to the point of metal entry into the mould cavity is 10.

This implies that;

H = Height of the Sprue from its Top to the Point of Metal Entry into the Mould Cavity = 10

Hs = H
Hs = 10

Therefore, the rated static head (in top gating) is 10.

## How to Calculate and Solve for Rated Static Head (in Bottom Gating) | Design of Gating System

The image above represents rated static head (in bottom gating).

To compute for rated static head, two 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) and Height of the Casting (C).

The formula for calculating rated static head (in bottom gating).

Hs = H – C / 2

Where:

Hs = Rated Static Head (in Bottom Gating)
H = Height of the Sprue from its Top to the Point of Metal Entry into the Mould Cavity
C = Height of Casting

Let’s solve an example;
Find the rated static head (in bottom gating) when the height of the sprue from its top to the point of metal entry into the mould cavity is 11 and the height of casting is 8.

This implies that;

H = Height of the Sprue from its Top to the Point of Metal Entry into the Mould Cavity = 11
C = Height of Casting = 8

Hs = H – C / 2
Hs = 11 – 8 / 2
Hs = 11 – 4
Hs = 7

Therefore, the rated static head (in bottom gating) is 7 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 (in bottom gating) and the Height of Casting is Given.

H = HsC / 2

Where;

H = Height of the Sprue from its Top to the Point of Metal Entry into the Mould Cavity
Hs = Rated Static Head (in Bottom Gating)
C = Height of Casting

Let’s solve an example;
Find the height of the sprue from its top to the point of metal entry into the mould cavity when the rated static head is 22 and the height of casting is 8.

This implies that;

Hs = Rated Static Head (in Bottom Gating) = 22
C = Height of Casting = 8

H = HsC / 2
H = 22 + 8 / 2
H = 22 + 4
H = 26

Therefore, the height of the sprue from its top to the point of metal entry into the mould cavity is 26 m.

## How to Calculate and Solve for Rated Static Head | Design of Gating System

The image above represents rated static head.

To compute for 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:

Hs = H – P2 / 2C

Where:

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

Hs = H – P2 / 2C
Hs = 9 – 52 / 2 x 11
Hs = 9 – 25 / 22
Hs = 9 – 1.136
Hs = 7.86

Therefore, the rated static head is 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 is Given.

H = HsP2 / 2C

Where;

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 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;

Hs = Rated Static Head = 25
P = Height of the Casting from its Top = 8
C = Height of the Casting = 4

H = HsP2 / 2C
H = 25 + 82 / 2 x 4
H = 25 + 64 / 8
H = 25 + 8
H = 33

Therefore, the height of the casting system from its top is 33.