Unsupported Load for Cores Solution

STEP 0: Pre-Calculation Summary
Formula Used
Unsupported Load = Buoyant Force-Empirical Constant*Core Print Area
UL = Fb -c*A
This formula uses 4 Variables
Variables Used
Unsupported Load - (Measured in Newton) - Unsupported Load is the force applied to a structure or component without any external support or reinforcement.
Buoyant Force - (Measured in Newton) - Buoyant Force is the upward force exerted by any fluid upon a body placed in it.
Empirical Constant - (Measured in Pascal) - Empirical Constant is the constant used in an empirical relation. It can vary depending on the specific casting material and they are derived from data obtained from actual casting operations.
Core Print Area - (Measured in Square Meter) - Core Print Area is the area of that part of the mould which supports the weight of core used in casting.
STEP 1: Convert Input(s) to Base Unit
Buoyant Force: 1500 Newton --> 1500 Newton No Conversion Required
Empirical Constant: 350 Newton per Square Millimeter --> 350000000 Pascal (Check conversion ​here)
Core Print Area: 4E-06 Square Meter --> 4E-06 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
UL = Fb -c*A --> 1500-350000000*4E-06
Evaluating ... ...
UL = 100
STEP 3: Convert Result to Output's Unit
100 Newton --> No Conversion Required
FINAL ANSWER
100 Newton <-- Unsupported Load
(Calculation completed in 00.020 seconds)

Credits

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Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
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Verified by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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13 Cores - Core Prints and Chaplets Calculators

Buoyant Force on Vertical Cores
​ Go Buoyant Force = (pi/4*(Diameter of Core Print^2-Diameter of Cylinder^2)*Height of Core Print*Density of Metal-Volume of the Core*Density of Core)*[g]
Buoyant Force on Cylindrical Cores Placed Horizontally
​ Go Buoyant Force = pi/4*Diameter of Cylinder^2*[g]*Cylinder Height*(Density of Metal-Density of Core)
Metallostatic Forces Acting on Moulding Flasks
​ Go Metallostatic Force = [g]*Density of Metal*Projected Area in Parting Plane*Head of Molten Metal
Density of Core Material
​ Go Density of Core = Density of Metal-Buoyant Force/(Volume of the Core*[g])
Volume of Core
​ Go Volume of the Core = Buoyant Force/(9.81*(Density of Metal-Density of Core))
Density of Molten Metal
​ Go Density of Metal = Buoyant Force/(Volume of the Core*9.81)+Density of Core
Buoyant Force on Cores
​ Go Buoyant Force = 9.81*Volume of the Core*(Density of Metal-Density of Core)
Chaplet Area
​ Go Chaplet Area = 29*(Buoyant Force-Empirical Constant*Core Print Area)
Unsupported Load for Cores
​ Go Unsupported Load = Buoyant Force-Empirical Constant*Core Print Area
Buoyant Force on Cores from Chaplet Area
​ Go Buoyant Force = Chaplet Area/29+Empirical Constant*Core Print Area
Empirical Relation for Max. Permissible Buoyancy Force on given Core Print Area
​ Go Buoyant Force = Empirical Constant*Core Print Area
Empirical Relation for Minimum Core Print Area
​ Go Core Print Area = Buoyant Force/Empirical Constant
Chaplet Area from Unsupported Load
​ Go Chaplet Area = 29*Unsupported Load

Unsupported Load for Cores Formula

Unsupported Load = Buoyant Force-Empirical Constant*Core Print Area
UL = Fb -c*A

What are chaplets?

Chaplets are metallic supports often kept inside the mould cavity to support the cores. These are of the same composition as that of the pouring metal so that the molten metal would provide enough heat to completely melt them and thus fuse with it during solidification.
In order to calculate the required chaplet area, we need to know the unsupported load.

How to Calculate Unsupported Load for Cores?

Unsupported Load for Cores calculator uses Unsupported Load = Buoyant Force-Empirical Constant*Core Print Area to calculate the Unsupported Load, The Unsupported load for cores is to be defined in order to calculate the required chaplet area a. It is the load which is not supported by anything and thus has to be supported by chaplets. Unsupported Load is denoted by UL symbol.

How to calculate Unsupported Load for Cores using this online calculator? To use this online calculator for Unsupported Load for Cores, enter Buoyant Force (Fb ), Empirical Constant (c) & Core Print Area (A) and hit the calculate button. Here is how the Unsupported Load for Cores calculation can be explained with given input values -> 100 = 1500-350000000*4E-06.

FAQ

What is Unsupported Load for Cores?
The Unsupported load for cores is to be defined in order to calculate the required chaplet area a. It is the load which is not supported by anything and thus has to be supported by chaplets and is represented as UL = Fb -c*A or Unsupported Load = Buoyant Force-Empirical Constant*Core Print Area. Buoyant Force is the upward force exerted by any fluid upon a body placed in it, Empirical Constant is the constant used in an empirical relation. It can vary depending on the specific casting material and they are derived from data obtained from actual casting operations & Core Print Area is the area of that part of the mould which supports the weight of core used in casting.
How to calculate Unsupported Load for Cores?
The Unsupported load for cores is to be defined in order to calculate the required chaplet area a. It is the load which is not supported by anything and thus has to be supported by chaplets is calculated using Unsupported Load = Buoyant Force-Empirical Constant*Core Print Area. To calculate Unsupported Load for Cores, you need Buoyant Force (Fb ), Empirical Constant (c) & Core Print Area (A). With our tool, you need to enter the respective value for Buoyant Force, Empirical Constant & Core Print Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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