Blank Diameter from Percent Reduction Calculator

✖Outer Diameter of Shell refer to the measurement across the widest part of any cylindrical object.ⓘ Outer Diameter of Shell [d_O]			+10% -10%
✖Percent reduction after drawing represents the amount of straining or the draw-ability of blank material.ⓘ Percent Reduction after Drawing [%_r]			+10% -10%

✖Blank or Sheet Diameter is the diameter of the blank used.ⓘ Blank Diameter from Percent Reduction [d_bk]

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Formula

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Blank Diameter from Percent Reduction

Formula

`"d"_{"bk"} = "d"_{"O"}*(1-"%"_{"r"}/100)^(-1)`

Example

`"84.2001mm"="79.9913mm"*(1-"4.998571"/100)^(-1)`

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Blank Diameter from Percent Reduction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Blank or sheet Diameter = Outer Diameter of Shell*(1-Percent Reduction after Drawing/100)^(-1)
d_bk = d_O*(1-%_r/100)^(-1)
This formula uses 3 Variables

Variables Used

Blank or sheet Diameter - (Measured in Meter) - Blank or Sheet Diameter is the diameter of the blank used.
Outer Diameter of Shell - (Measured in Meter) - Outer Diameter of Shell refer to the measurement across the widest part of any cylindrical object.
Percent Reduction after Drawing - Percent reduction after drawing represents the amount of straining or the draw-ability of blank material.

STEP 1: Convert Input(s) to Base Unit

Outer Diameter of Shell: 79.9913 Millimeter --> 0.0799913 Meter (Check conversion here)
Percent Reduction after Drawing: 4.998571 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_bk = d_O*(1-%_r/100)^(-1) --> 0.0799913*(1-4.998571/100)^(-1)

Evaluating ... ...

d_bk = 0.0842001018742571

STEP 3: Convert Result to Output's Unit

0.0842001018742571 Meter -->84.2001018742571 Millimeter (Check conversion here)

FINAL ANSWER

84.2001018742571 ≈ 84.2001 Millimeter <-- Blank or 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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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< 5 Drawing Operation Calculators

Drawing Force for Cylindrical Shells

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

Blank Size for Drawing Operation

Go Blank or sheet Diameter = sqrt(Outer Diameter of Shell^2+4*Outer Diameter of Shell*Height of Shell)

Blank Diameter from Percent Reduction

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

Shell Diameter from Percent Reduction

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

Percent Reduction after Drawing

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

Blank Diameter from Percent Reduction Formula

Blank or sheet Diameter = Outer Diameter of Shell*(1-Percent Reduction after Drawing/100)^(-1)
d_bk = d_O*(1-%_r/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 Blank or sheet Diameter = Outer Diameter of Shell*(1-Percent Reduction after Drawing/100)^(-1) to calculate the Blank or sheet Diameter, The Blank diameter from percent reduction is obtained by using percent reduction obtained after drawing process to work back towards blank diameter. Blank or sheet Diameter is denoted by d_bk 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_O) & Percent Reduction after Drawing (%_r) and hit the calculate button. Here is how the Blank Diameter from Percent Reduction calculation can be explained with given input values -> 84200 = 0.0799913*(1-4.998571/100)^(-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_bk = d_O*(1-%_r/100)^(-1) or Blank or sheet Diameter = Outer Diameter of Shell*(1-Percent Reduction after Drawing/100)^(-1). Outer Diameter of Shell refer to the measurement across the widest part of any cylindrical object & Percent reduction after drawing represents the amount of straining or the draw-ability of blank material.

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 Blank or 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_O) & Percent Reduction after Drawing (%_r). 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 Blank or sheet Diameter?

In this formula, Blank or 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 -

Blank or sheet Diameter = sqrt(Outer Diameter of Shell^2+4*Outer Diameter of Shell*Height of Shell)

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