Drawing Force for Cylindrical Shells Calculator

✖Outer Diameter of Shell is the measurement across the widest part of any cylindrical object.ⓘ Outer Diameter of Shell [d_s]			+10% -10%
✖Sheet Thickness or blank thickness is the distance between the two parallel surfaces of a sheet of material, such as metal or plastic.ⓘ Sheet Thickness [t_b]			+10% -10%
✖Yield Strength is defined as the amount of stress a material can withstand without undergoing permanent deformation or failure.ⓘ Yield Strength [σ_y]			+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.ⓘ Sheet Diameter [D_b]			+10% -10%
✖Cover Friction Constant is a parameter used in sheet metal forming processes, such as deep drawing, to account for the frictional forces between the sheet metal and the tooling.ⓘ Cover Friction Constant [C_f]			+10% -10%

✖Drawing Force is the force required to be exerted by the punch or ram on the blank to form shells of desired shape.ⓘ Drawing Force for Cylindrical Shells [P_d]

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Formula

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Drawing Force for Cylindrical Shells

Formula

`"P"_{"d"} = pi*"d"_{"s"}*"t"_{"b"}*"σ"_{"y"}*("D"_{"b"}/"d"_{"s"}-"C"_{"f"})`

Example

`"0.004498N/mm²"=pi*"80mm"*"1.13mm"*"35N/mm²"*("84.2mm"/"80mm"-"0.6")`

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Drawing Force for Cylindrical Shells Solution

STEP 0: Pre-Calculation Summary

Formula Used

Drawing Force = pi*Outer Diameter of Shell*Sheet Thickness*Yield Strength*(Sheet Diameter/Outer Diameter of Shell-Cover Friction Constant)
P_d = pi*d_s*t_b*σ_y*(D_b/d_s-C_f)
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 is the measurement across the widest part of any cylindrical object.
Sheet Thickness - (Measured in Meter) - Sheet Thickness or blank thickness is the distance between the two parallel surfaces of a sheet of material, such as metal or plastic.
Yield Strength - (Measured in Pascal) - Yield Strength is defined as the amount of stress a material can withstand without undergoing permanent deformation or failure.
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.
Cover Friction Constant - Cover Friction Constant is a parameter used in sheet metal forming processes, such as deep drawing, to account for the frictional forces between the sheet metal and the tooling.

STEP 1: Convert Input(s) to Base Unit

Outer Diameter of Shell: 80 Millimeter --> 0.08 Meter (Check conversion here)
Sheet Thickness: 1.13 Millimeter --> 0.00113 Meter (Check conversion here)
Yield Strength: 35 Newton per Square Millimeter --> 35000000 Pascal (Check conversion here)
Sheet Diameter: 84.2 Millimeter --> 0.0842 Meter (Check conversion here)
Cover Friction Constant: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_d = pi*d_s*t_b*σ_y*(D_b/d_s-C_f) --> pi*0.08*0.00113*35000000*(0.0842/0.08-0.6)

Evaluating ... ...

P_d = 4497.84961807104

STEP 3: Convert Result to Output's Unit

4497.84961807104 Pascal -->0.00449784961807104 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

0.00449784961807104 ≈ 0.004498 Newton per Square Millimeter <-- Drawing Force

(Calculation completed in 00.004 seconds)

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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)

Drawing Force for Cylindrical Shells Formula

Drawing Force = pi*Outer Diameter of Shell*Sheet Thickness*Yield Strength*(Sheet Diameter/Outer Diameter of Shell-Cover Friction Constant)
P_d = pi*d_s*t_b*σ_y*(D_b/d_s-C_f)

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*Sheet Thickness*Yield Strength*(Sheet Diameter/Outer Diameter of Shell-Cover Friction Constant) to calculate the Drawing Force, The Drawing Force for Cylindrical Shells is that minimum 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 P_d 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 (d_s), Sheet Thickness (t_b), Yield Strength (σ_y), Sheet Diameter (D_b) & Cover Friction Constant (C_f) 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*0.08*0.00113*35000000*(0.0842/0.08-0.6).

FAQ

What is Drawing Force for Cylindrical Shells?

The Drawing Force for Cylindrical Shells is that minimum 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 P_d = pi*d_s*t_b*σ_y*(D_b/d_s-C_f) or Drawing Force = pi*Outer Diameter of Shell*Sheet Thickness*Yield Strength*(Sheet Diameter/Outer Diameter of Shell-Cover Friction Constant). Outer Diameter of Shell is the measurement across the widest part of any cylindrical object, Sheet Thickness or blank thickness is the distance between the two parallel surfaces of a sheet of material, such as metal or plastic, Yield Strength is defined as the amount of stress a material can withstand without undergoing permanent deformation or failure, 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 & Cover Friction Constant is a parameter used in sheet metal forming processes, such as deep drawing, to account for the frictional forces between the sheet metal and the tooling.

How to calculate Drawing Force for Cylindrical Shells?

The Drawing Force for Cylindrical Shells is that minimum 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*Sheet Thickness*Yield Strength*(Sheet Diameter/Outer Diameter of Shell-Cover Friction Constant). To calculate Drawing Force for Cylindrical Shells, you need Outer Diameter of Shell (d_s), Sheet Thickness (t_b), Yield Strength (σ_y), Sheet Diameter (D_b) & Cover Friction Constant (C_f). With our tool, you need to enter the respective value for Outer Diameter of Shell, Sheet Thickness, Yield Strength, 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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