Drawing Force for Cylindrical Shells Solution

STEP 0: Pre-Calculation Summary
Formula Used
Drawing Force = pi*Outer Diameter of Shell*Blank Thickness of sheet*Yield Strength*(Blank or sheet Diameter/Outer Diameter of Shell-Cover Friction Constant)
Pd = pi*dO*tbl*σy*(dbk/dO-Cf)
This formula uses 1 Constants, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Drawing Force - (Measured in Pascal) - Drawing force is the force required to be exerted by the punch or ram on the blank to form shells of desired shape.
Outer Diameter of Shell - (Measured in Meter) - Outer Diameter of Shell refer to the measurement across the widest part of any cylindrical object.
Blank Thickness of sheet - (Measured in Meter) - Blank Thickness of Sheet is the given thickness of the stock material or blanks.
Yield Strength - (Measured in Pascal) - Yield strength can be defined as follows, a straight line is constructed parallel to elastic portion of stress–strain curve at strain offset of 0.002.
Blank or sheet Diameter - (Measured in Meter) - Blank or Sheet Diameter is the diameter of the blank used.
Cover Friction Constant - Cover Friction Constant takes into account the losses and deviation from calculated value due to friction.
STEP 1: Convert Input(s) to Base Unit
Outer Diameter of Shell: 79.9913 Millimeter --> 0.0799913 Meter (Check conversion ​here)
Blank Thickness of sheet: 1.13 Millimeter --> 0.00113 Meter (Check conversion ​here)
Yield Strength: 35 Newton per Square Millimeter --> 35000000 Pascal (Check conversion ​here)
Blank or sheet Diameter: 84.25 Millimeter --> 0.08425 Meter (Check conversion ​here)
Cover Friction Constant: 0.6 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pd = pi*dO*tbly*(dbk/dO-Cf) --> pi*0.0799913*0.00113*35000000*(0.08425/0.0799913-0.6)
Evaluating ... ...
Pd = 4504.71070248844
STEP 3: Convert Result to Output's Unit
4504.71070248844 Pascal -->0.00450471070248844 Newton per Square Millimeter (Check conversion ​here)
FINAL ANSWER
0.00450471070248844 0.004505 Newton per Square Millimeter <-- Drawing Force
(Calculation completed in 00.020 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*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)

Drawing Force for Cylindrical Shells Formula

Drawing Force = pi*Outer Diameter of Shell*Blank Thickness of sheet*Yield Strength*(Blank or sheet Diameter/Outer Diameter of Shell-Cover Friction Constant)
Pd = pi*dO*tbl*σy*(dbk/dO-Cf)

How to determine Drawing Force for Cylindrical shells?

The Drawing Force for Cylindrical shells is calculated by considering cup material, its dimensions and configuration. The Drawing Force for Cylindrical shells is that min. force which is required to form cylindrical shells out of sheet metal using drawing die.
For shapes other than cylindrical, the above formula would only give an approximation which can be used as a guide.

How to Calculate Drawing Force for Cylindrical Shells?

Drawing Force for Cylindrical Shells calculator uses Drawing Force = pi*Outer Diameter of Shell*Blank Thickness of sheet*Yield Strength*(Blank or sheet Diameter/Outer Diameter of Shell-Cover Friction Constant) to calculate the Drawing Force, The Drawing Force for Cylindrical shells is that min. force which is required to form cylindrical shells out of sheet metal using drawing die. It is calculated by considering cup material, its dimensions and configuration. Drawing Force is denoted by Pd symbol.

How to calculate Drawing Force for Cylindrical Shells using this online calculator? To use this online calculator for Drawing Force for Cylindrical Shells, enter Outer Diameter of Shell (dO), Blank Thickness of sheet (tbl), Yield Strength y), Blank or sheet Diameter (dbk) & Cover Friction Constant (Cf) and hit the calculate button. Here is how the Drawing Force for Cylindrical Shells calculation can be explained with given input values -> 4.5E-9 = pi*0.0799913*0.00113*35000000*(0.08425/0.0799913-0.6).

FAQ

What is Drawing Force for Cylindrical Shells?
The Drawing Force for Cylindrical shells is that min. force which is required to form cylindrical shells out of sheet metal using drawing die. It is calculated by considering cup material, its dimensions and configuration and is represented as Pd = pi*dO*tbly*(dbk/dO-Cf) or Drawing Force = pi*Outer Diameter of Shell*Blank Thickness of sheet*Yield Strength*(Blank or sheet Diameter/Outer Diameter of Shell-Cover Friction Constant). Outer Diameter of Shell refer to the measurement across the widest part of any cylindrical object, Blank Thickness of Sheet is the given thickness of the stock material or blanks, Yield strength can be defined as follows, a straight line is constructed parallel to elastic portion of stress–strain curve at strain offset of 0.002, Blank or Sheet Diameter is the diameter of the blank used & Cover Friction Constant takes into account the losses and deviation from calculated value due to friction.
How to calculate Drawing Force for Cylindrical Shells?
The Drawing Force for Cylindrical shells is that min. force which is required to form cylindrical shells out of sheet metal using drawing die. It is calculated by considering cup material, its dimensions and configuration is calculated using Drawing Force = pi*Outer Diameter of Shell*Blank Thickness of sheet*Yield Strength*(Blank or sheet Diameter/Outer Diameter of Shell-Cover Friction Constant). To calculate Drawing Force for Cylindrical Shells, you need Outer Diameter of Shell (dO), Blank Thickness of sheet (tbl), Yield Strength y), Blank or sheet Diameter (dbk) & Cover Friction Constant (Cf). With our tool, you need to enter the respective value for Outer Diameter of Shell, Blank Thickness of sheet, Yield Strength, Blank or sheet Diameter & Cover Friction Constant 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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