Blank Diameter from Percent Reduction Calculator

✖Outer Diameter of Shell is the measurement across the widest part of any cylindrical object.ⓘ Outer Diameter of Shell [d_s]			+10% -10%
✖Percent Reduction after Drawing is a measure used in metalworking processes, particularly in drawing operations, to quantify the amount of deformation.ⓘ Percent Reduction after Drawing [PR_%]			+10% -10%

✖Sheet Diameter is the diameter of a circular sheet or disc-shaped object. In sheet metalworking, the diameter of a sheet metal blank before any forming or shaping operations are performed on it.ⓘ Blank Diameter from Percent Reduction [D_b]

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Formula

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Blank Diameter from Percent Reduction

Formula

`"D"_{"b"} = "d"_{"s"}*(1-"PR"_{"%"}/100)^(-1)`

Example

`"84.21053mm"="80mm"*(1-"5"/100)^(-1)`

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Blank Diameter from Percent Reduction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sheet Diameter = Outer Diameter of Shell*(1-Percent Reduction after Drawing/100)^(-1)
D_b = d_s*(1-PR_%/100)^(-1)
This formula uses 3 Variables

Variables Used

Sheet Diameter - (Measured in Meter) - Sheet Diameter is the diameter of a circular sheet or disc-shaped object. In sheet metalworking, the diameter of a sheet metal blank before any forming or shaping operations are performed on it.
Outer Diameter of Shell - (Measured in Meter) - Outer Diameter of Shell is the measurement across the widest part of any cylindrical object.
Percent Reduction after Drawing - Percent Reduction after Drawing is a measure used in metalworking processes, particularly in drawing operations, to quantify the amount of deformation.

STEP 1: Convert Input(s) to Base Unit

Outer Diameter of Shell: 80 Millimeter --> 0.08 Meter (Check conversion here)
Percent Reduction after Drawing: 5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_b = d_s*(1-PR_%/100)^(-1) --> 0.08*(1-5/100)^(-1)

Evaluating ... ...

D_b = 0.0842105263157895

STEP 3: Convert Result to Output's Unit

0.0842105263157895 Meter -->84.2105263157895 Millimeter (Check conversion here)

FINAL ANSWER

84.2105263157895 ≈ 84.21053 Millimeter <-- Sheet Diameter

(Calculation completed in 00.004 seconds)

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Created by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

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< 5 Drawing Operation Calculators

Drawing Force for Cylindrical Shells

Go Drawing Force = pi*Outer Diameter of Shell*Sheet Thickness*Yield Strength*(Sheet Diameter/Outer Diameter of Shell-Cover Friction Constant)

Blank Size for Drawing Operation

Go Sheet Diameter = sqrt(Outer Diameter of Shell^2+4*Outer Diameter of Shell*Shell Height)

Blank Diameter from Percent Reduction

Go Sheet Diameter = Outer Diameter of Shell*(1-Percent Reduction after Drawing/100)^(-1)

Shell Diameter from Percent Reduction

Go Outer Diameter of Shell = Sheet Diameter*(1-Percent Reduction after Drawing/100)

Percent Reduction after Drawing

Go Percent Reduction after Drawing = 100*(1-Outer Diameter of Shell/Sheet Diameter)

Blank Diameter from Percent Reduction Formula

Sheet Diameter = Outer Diameter of Shell*(1-Percent Reduction after Drawing/100)^(-1)
D_b = d_s*(1-PR_%/100)^(-1)

What is percent reduction in relation to drawing?

The Percent reduction after drawing represent the amount of straining or the
draw-ability of blank material.
The drawing operation relies on the ductility of the blank material. The ductility is affected by the amount of strain a material takes. But there is a limit to which it can be strained. The diameter of the shell to be used is either ID (internal diameter) or OD (outer diameter). But it is convenient to use OD since the cup is normally specified by OD.

How to Calculate Blank Diameter from Percent Reduction?

Blank Diameter from Percent Reduction calculator uses Sheet Diameter = Outer Diameter of Shell*(1-Percent Reduction after Drawing/100)^(-1) to calculate the Sheet Diameter, The Blank Diameter from Percent Reduction is obtained by using percent reduction obtained after drawing process to work back towards blank diameter. Sheet Diameter is denoted by D_b symbol.

How to calculate Blank Diameter from Percent Reduction using this online calculator? To use this online calculator for Blank Diameter from Percent Reduction, enter Outer Diameter of Shell (d_s) & Percent Reduction after Drawing (PR_%) and hit the calculate button. Here is how the Blank Diameter from Percent Reduction calculation can be explained with given input values -> 84210.53 = 0.08*(1-5/100)^(-1).

FAQ

What is Blank Diameter from Percent Reduction?

The Blank Diameter from Percent Reduction is obtained by using percent reduction obtained after drawing process to work back towards blank diameter and is represented as D_b = d_s*(1-PR_%/100)^(-1) or Sheet Diameter = Outer Diameter of Shell*(1-Percent Reduction after Drawing/100)^(-1). Outer Diameter of Shell is the measurement across the widest part of any cylindrical object & Percent Reduction after Drawing is a measure used in metalworking processes, particularly in drawing operations, to quantify the amount of deformation.

How to calculate Blank Diameter from Percent Reduction?

The Blank Diameter from Percent Reduction is obtained by using percent reduction obtained after drawing process to work back towards blank diameter is calculated using Sheet Diameter = Outer Diameter of Shell*(1-Percent Reduction after Drawing/100)^(-1). To calculate Blank Diameter from Percent Reduction, you need Outer Diameter of Shell (d_s) & Percent Reduction after Drawing (PR_%). With our tool, you need to enter the respective value for Outer Diameter of Shell & Percent Reduction after Drawing and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Sheet Diameter?

In this formula, Sheet Diameter uses Outer Diameter of Shell & Percent Reduction after Drawing. We can use 1 other way(s) to calculate the same, which is/are as follows -

Sheet Diameter = sqrt(Outer Diameter of Shell^2+4*Outer Diameter of Shell*Shell Height)

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