Bend Allowance Calculator

✖Subtended Angle in Radians is the angle formed by the bent metal. It's measured in radians, which is a unit of angular measurement.ⓘ Subtended Angle in Radians [θ]			+10% -10%
✖Radius is a straight line extending from the center or focus of a curve to any point on its perimeter.ⓘ Radius [r_c]			+10% -10%
✖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.ⓘ Stretch Factor [λ]			+10% -10%
✖Bar Thickness refer to the thickness of a bar-shaped object, such as a metal bar or a structural element in a construction project.ⓘ Bar Thickness [t_bar]			+10% -10%

✖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.ⓘ Bend Allowance [B_al]

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Formula

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Bend Allowance

Formula

B al = θ \cdot (r c + λ \cdot t bar)

Example

0.026125 mm = 3.14 rad \cdot (0.007 mm + 0.44 \cdot 0.003 mm)

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Bend Allowance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bend Allowance = Subtended Angle in Radians*(Radius+Stretch Factor*Bar Thickness)
B_al = θ*(r_c+λ*t_bar)
This formula uses 5 Variables

Variables Used

Bend Allowance - (Measured in Meter) - 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.
Subtended Angle in Radians - (Measured in Radian) - Subtended Angle in Radians is the angle formed by the bent metal. It's measured in radians, which is a unit of angular measurement.
Radius - (Measured in Meter) - Radius is a straight line extending from the center or focus of a curve to any point on its perimeter.
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.
Bar Thickness - (Measured in Meter) - Bar Thickness refer to the thickness of a bar-shaped object, such as a metal bar or a structural element in a construction project.

STEP 1: Convert Input(s) to Base Unit

Subtended Angle in Radians: 3.14 Radian --> 3.14 Radian No Conversion Required
Radius: 0.007 Millimeter --> 7E-06 Meter (Check conversion here)
Stretch Factor: 0.44 --> No Conversion Required
Bar Thickness: 0.003 Millimeter --> 3E-06 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_al = θ*(r_c+λ*t_bar) --> 3.14*(7E-06+0.44*3E-06)

Evaluating ... ...

B_al = 2.61248E-05

STEP 3: Convert Result to Output's Unit

2.61248E-05 Meter -->0.0261248 Millimeter (Check conversion here)

FINAL ANSWER

0.0261248 ≈ 0.026125 Millimeter <-- Bend Allowance

(Calculation completed in 00.004 seconds)

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Bend Allowance Formula

Bend Allowance = Subtended Angle in Radians*(Radius+Stretch Factor*Bar Thickness)
B_al = θ*(r_c+λ*t_bar)

What is Bend Deduction?

By definition, the bend deduction is the difference between the bend allowance and twice the outside setback.

How to Calculate Bend Allowance?

Bend Allowance calculator uses Bend Allowance = Subtended Angle in Radians*(Radius+Stretch Factor*Bar Thickness) to calculate 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 calculate Bend Allowance using this online calculator? To use this online calculator for Bend Allowance, enter Subtended Angle in Radians (θ), Radius (r_c), Stretch Factor (λ) & Bar Thickness (t_bar) and hit the calculate button. Here is how the Bend Allowance calculation can be explained with given input values -> 26.1248 = 3.14*(7E-06+0.44*3E-06).

FAQ

What is Bend Allowance?

Bend Allowance is the arc length of the bend as measured along the neutral axis of the material you are using and is represented as B_al = θ*(r_c+λ*t_bar) or Bend Allowance = Subtended Angle in Radians*(Radius+Stretch Factor*Bar Thickness). Subtended Angle in Radians is the angle formed by the bent metal. It's measured in radians, which is a unit of angular measurement, Radius is a straight line extending from the center or focus of a curve to any point on its perimeter, 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 & Bar Thickness refer to the thickness of a bar-shaped object, such as a metal bar or a structural element in a construction project.

How to calculate Bend Allowance?

Bend Allowance is the arc length of the bend as measured along the neutral axis of the material you are using is calculated using Bend Allowance = Subtended Angle in Radians*(Radius+Stretch Factor*Bar Thickness). To calculate Bend Allowance, you need Subtended Angle in Radians (θ), Radius (r_c), Stretch Factor (λ) & Bar Thickness (t_bar). With our tool, you need to enter the respective value for Subtended Angle in Radians, Radius, Stretch Factor & Bar Thickness 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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