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Bend Allowance Formula

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Bend Allowance is the amount of material needed to create a bend in a piece of sheet metal. It accounts for the stretching and compression that occurs when the metal is bent. Check FAQs

B al = θ \cdot (r c + λ \cdot t bar)

B_al - Bend Allowance?θ - Subtended Angle in Radians?r_c - Radius?λ - Stretch Factor?t_bar - Bar Thickness?

Bend Allowance Example

With values

With units

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Here is how the Bend Allowance equation looks like with Values.

Here is how the Bend Allowance equation looks like with Units.

Here is how the Bend Allowance equation looks like.

0.0261 = 3.14 \cdot (0.007 + 0.44 \cdot 0.003)

0.0261mm = 3.14rad \cdot (0.007mm + 0.44 \cdot 0.003mm)

0.0261 = 3.14 \cdot (0.007 + 0.44 \cdot 0.003)

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Bend Allowance Solution

Follow our step by step solution on how to calculate Bend Allowance?

FIRST Step Consider the formula

B al = θ \cdot (r c + λ \cdot t bar)

Next Step Substitute values of Variables

∴

B al = 3.14rad \cdot (0.007mm + 0.44 \cdot 0.003mm)

Next Step Convert Units

∴

B al = 3.14rad \cdot (7E-6m + 0.44 \cdot 3E-6m)

Next Step Prepare to Evaluate

∴

B al = 3.14 \cdot (7E-6 + 0.44 \cdot 3E-6)

Next Step Evaluate

∴

B al = 2.61248E-05m

Next Step Convert to Output's Unit

∴

B al = 0.0261248mm

LAST Step Rounding Answer

∴

B al = 0.0261mm

Bend Allowance Formula Elements

Variables

Bend Allowance

Bend Allowance is the amount of material needed to create a bend in a piece of sheet metal. It accounts for the stretching and compression that occurs when the metal is bent.

Symbol: B_al

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Bend Allowance

Subtended Angle in Radians

Subtended Angle in Radians is the angle formed by the bent metal. It's measured in radians, which is a unit of angular measurement.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Subtended Angle in Radians

Radius

Radius is a straight line extending from the center or focus of a curve to any point on its perimeter.

Symbol: r_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius

Stretch Factor

Stretch Factor is the elongation factor or strain ratio. It is a parameter used in sheet metal forming to describe the amount of stretching that occurs in a material during deformation.

Symbol: λ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Stretch Factor

Bar Thickness

Bar Thickness refer to the thickness of a bar-shaped object, such as a metal bar or a structural element in a construction project.

Symbol: t_bar

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Bar Thickness

Other formulas in Metal Cutting category

Go Width between Contact Points during Bending

w = \frac{K bd \cdot L b \cdot σ ut \cdot {t blank}^{2}}{F B}

Go Length of Bent Part in Bending Operation

L b = \frac{F B \cdot w}{K bd \cdot σ ut \cdot {t stk}^{2}}

Go Stock Thickness used in Bending Operation

t stk = \sqrt{\frac{F B \cdot w}{K bd \cdot L b \cdot σ ut}}

Go Bending Force

F B = \frac{K bd \cdot L b \cdot σ ut \cdot {t blank}^{2}}{w}

How to Evaluate Bend Allowance?

Bend Allowance evaluator uses Bend Allowance = Subtended Angle in Radians*(Radius+Stretch Factor*Bar Thickness) to evaluate the Bend Allowance, Bend Allowance is the arc length of the bend as measured along the neutral axis of the material you are using. Bend Allowance is denoted by B_al symbol.

How to evaluate Bend Allowance using this online evaluator? To use this online evaluator for Bend Allowance, enter Subtended Angle in Radians (θ), Radius (r_c), Stretch Factor (λ) & Bar Thickness (t_bar) and hit the calculate button.

FAQs on Bend Allowance

What is the formula to find Bend Allowance?

The formula of Bend Allowance is expressed as Bend Allowance = Subtended Angle in Radians*(Radius+Stretch Factor*Bar Thickness). Here is an example- 26.1248 = 3.14*(7E-06+0.44*3E-06).

How to calculate Bend Allowance?

With Subtended Angle in Radians (θ), Radius (r_c), Stretch Factor (λ) & Bar Thickness (t_bar) we can find Bend Allowance using the formula - Bend Allowance = Subtended Angle in Radians*(Radius+Stretch Factor*Bar Thickness).

Can the Bend Allowance be negative?

No, the Bend Allowance, measured in Length cannot be negative.

Which unit is used to measure Bend Allowance?

Bend Allowance is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Bend Allowance can be measured.

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Bend Allowance Formula

Bend Allowance Example

Bend Allowance Solution

Bend Allowance Formula Elements

Other formulas in Metal Cutting category

How to Evaluate Bend Allowance?

FAQs on Bend Allowance

Variable Name