FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Drawing Force for Cylindrical Shells Formula

Fx Copy

LaTeX Copy

Drawing Force is the force required to be exerted by the punch or ram on the blank to form shells of desired shape. Check FAQs

P d = π \cdot d s \cdot t b \cdot σ y \cdot (\frac{D b}{d s} - C f)

P_d - Drawing Force?d_s - Outer Diameter of Shell?t_b - Sheet Thickness?σ_y - Yield Strength?D_b - Sheet Diameter?C_f - Cover Friction Constant?π - Archimedes' constant?

Drawing Force for Cylindrical Shells Example

With values

With units

Only example

Here is how the Drawing Force for Cylindrical Shells equation looks like with Values.

Here is how the Drawing Force for Cylindrical Shells equation looks like with Units.

Here is how the Drawing Force for Cylindrical Shells equation looks like.

0.0045 = 3.1416 \cdot 80 \cdot 1.13 \cdot 35 \cdot (\frac{84.2}{80} - 0.6)

0.0045N/mm² = 3.1416 \cdot 80mm \cdot 1.13mm \cdot 35N/mm² \cdot (\frac{84.2mm}{80mm} - 0.6)

0.0045 = 3.1416 \cdot 80 \cdot 1.13 \cdot 35 \cdot (\frac{84.2}{80} - 0.6)

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Production Engineering » Category

Sheet Metal Operations » fx Drawing Force for Cylindrical Shells

Drawing Force for Cylindrical Shells Solution

Follow our step by step solution on how to calculate Drawing Force for Cylindrical Shells?

FIRST Step Consider the formula

P d = π \cdot d s \cdot t b \cdot σ y \cdot (\frac{D b}{d s} - C f)

Next Step Substitute values of Variables

∴

P d = π \cdot 80mm \cdot 1.13mm \cdot 35N/mm² \cdot (\frac{84.2mm}{80mm} - 0.6)

Next Step Substitute values of Constants

∴

P d = 3.1416 \cdot 80mm \cdot 1.13mm \cdot 35N/mm² \cdot (\frac{84.2mm}{80mm} - 0.6)

Next Step Convert Units

∴

P d = 3.1416 \cdot 0.08m \cdot 0.0011m \cdot 3.5E+7Pa \cdot (\frac{0.0842m}{0.08m} - 0.6)

Next Step Prepare to Evaluate

∴

P d = 3.1416 \cdot 0.08 \cdot 0.0011 \cdot 3.5E+7 \cdot (\frac{0.0842}{0.08} - 0.6)

Next Step Evaluate

∴

P d = 4497.84961807104Pa

Next Step Convert to Output's Unit

∴

P d = 0.00449784961807104N/mm²

LAST Step Rounding Answer

∴

P d = 0.0045N/mm²

Drawing Force for Cylindrical Shells Formula Elements

Variables

Constants

Drawing Force

Drawing Force is the force required to be exerted by the punch or ram on the blank to form shells of desired shape.

Symbol: P_d

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Drawing Force

Outer Diameter of Shell

Outer Diameter of Shell is the measurement across the widest part of any cylindrical object.

Symbol: d_s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Diameter of Shell

Sheet Thickness

Sheet Thickness or blank thickness is the distance between the two parallel surfaces of a sheet of material, such as metal or plastic.

Symbol: t_b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Sheet Thickness

Yield Strength

Yield Strength is defined as the amount of stress a material can withstand without undergoing permanent deformation or failure.

Symbol: σ_y

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Yield Strength

Sheet Diameter

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.

Symbol: D_b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Sheet Diameter

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.

Symbol: C_f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Cover Friction Constant

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Drawing Operation category

Go Blank Size for Drawing Operation

D b = \sqrt{{d s}^{2} + 4 \cdot d s \cdot h shl}

Go Shell Diameter from Percent Reduction

d s = D b \cdot (1 - \frac{PR %}{100})

Go Percent Reduction after Drawing

PR % = 100 \cdot (1 - \frac{d s}{D b})

Go Blank Diameter from Percent Reduction

D b = d s \cdot {(1 - \frac{PR %}{100})}^{- 1}

How to Evaluate Drawing Force for Cylindrical Shells?

Drawing Force for Cylindrical Shells evaluator uses Drawing Force = pi*Outer Diameter of Shell*Sheet Thickness*Yield Strength*(Sheet Diameter/Outer Diameter of Shell-Cover Friction Constant) to evaluate 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 evaluate Drawing Force for Cylindrical Shells using this online evaluator? To use this online evaluator 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.

FAQs on Drawing Force for Cylindrical Shells

What is the formula to find Drawing Force for Cylindrical Shells?

The formula of Drawing Force for Cylindrical Shells is expressed as Drawing Force = pi*Outer Diameter of Shell*Sheet Thickness*Yield Strength*(Sheet Diameter/Outer Diameter of Shell-Cover Friction Constant). Here is an example- 4.5E-9 = pi*0.08*0.00113*35000000*(0.0842/0.08-0.6).

How to calculate Drawing Force for Cylindrical Shells?

With Outer Diameter of Shell (d_s), Sheet Thickness (t_b), Yield Strength (σ_y), Sheet Diameter (D_b) & Cover Friction Constant (C_f) we can find Drawing Force for Cylindrical Shells using the formula - Drawing Force = pi*Outer Diameter of Shell*Sheet Thickness*Yield Strength*(Sheet Diameter/Outer Diameter of Shell-Cover Friction Constant). This formula also uses Archimedes' constant .

Can the Drawing Force for Cylindrical Shells be negative?

No, the Drawing Force for Cylindrical Shells, measured in Pressure cannot be negative.

Which unit is used to measure Drawing Force for Cylindrical Shells?

Drawing Force for Cylindrical Shells is usually measured using the Newton per Square Millimeter[N/mm²] for Pressure. Pascal[N/mm²], Kilopascal[N/mm²], Bar[N/mm²] are the few other units in which Drawing Force for Cylindrical Shells can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Drawing Force for Cylindrical Shells Formula

Drawing Force for Cylindrical Shells Example

Drawing Force for Cylindrical Shells Solution

Drawing Force for Cylindrical Shells Formula Elements

Other formulas in Drawing Operation category

How to Evaluate Drawing Force for Cylindrical Shells?

FAQs on Drawing Force for Cylindrical Shells

Variable Name