 # Bend Deduction Explained [With Formula and Calculator]

In my previous post, I discussed the Bend Allowance (BA). In today’s post, I am going to discuss Bend Deduction. Just like BA and K-factor, Sheet Metal Bend Deduction is also a very crucial part of sheet metal design terminology. First of all, let me explain why and where you need to use this Bend Deduction.

Suppose that you have designed a sheet metal component for fabrication. And, you have all the dimensions of the final component in your design. But this is not enough for the fabricator to fabricate your component. He will have to create a flat pattern first. After that, he will make all the forming operations, whether it is punching, bending or any other.

If you just provide the design of the final component, it will not be possible for the fabricator to create or produce a flat pattern for your component. Then how will he fabricate the final component?

So my point here is to establish the fact that it is necessary to design the flat pattern also, along with the design of your final or finished component.

And, the interesting and surprising thing is that the total length of the bent sheet is always greater than the length of the unfolded piece of the sheet. In other words, you can say that the total length of the flanges of the bent sheet is always greater than the length of the flat sheet or flat pattern.

The reason behind this is that the material along the bend undergoes deformation (stretched and compressed) when you bend it. It means that you can not just use the length of your final component in your design of the flat pattern for that component.

Then how to calculate that exact length of the flat pattern which will give you the required flange length in the final component? Here comes the role of Bend Deduction. You can calculate the length of the flat sheet by deducting or subtracting Bend Deduction from the total length of flanges of the finished component.

Note:- The length of the flat pattern can be calculated by BA also as I mentioned my previous post.

## What is Bend Deduction

Bend Deduction is actually the measurement of the length that you will have to deduct from the total length of the flanges of the final sheet metal component, in order to get the correct length of the flat pattern that you need to create for that component.

As you can see in the fig.1 above, ‘A’ and ‘B’ are the flange lengths of the final component. ‘a’ and ‘b’ indicate the leg lengths of the component. ‘T’ indicates the thickness of the sheet. And, ‘R’ is the inside radius of the bend. Inside Radius is generally equal to the radius of the bending tool.

In Fig.2, you can see the Bend Deduction (BD) indicated with the orange color. ‘L’ is the length of the flat pattern of the finished component. This figure clearly indicates that the length of the flat pattern (L) is equal to the difference between the sum of the flange lengths (A & B) and the value of the Bend Deduction (BD).

Now the question is how to calculate this value of Bend Deduction. Now I am coming to this point. You can calculate this value for different values of the available parameters (Sheet Thickness, Bend Angle, Inside Bend radius, etc.) Keep reading…

## Bend Deduction Calculator

Bend deduction can be easily calculated if you have a formula for it. Below I have shared that formula. You just have to collect some required data like K-factor, sheet metal thickness, bend angle and inside radius of the bend. If you have the values of these variables, you can simply put them in the formula and calculate the final value by using this Bend Deduction Calculator.

## Bend Deduction Formula

Bend Deduction (BD) = (2xOSSB) – BA

Here, OSSB = Outside Set Back

BA = Bend Allowance

And, as we know that the formula for calculating BA (as I explained in this post) is And, the formula for Outside Set Back is Hence, So this is the final formula to calculate the Bend Deduction.

Here, R and IR (Both are same) = Inside Bend Radius

T = Sheet Thickness

B = Bend Angle

K = K-Factor (It is different for different material and depends on the physical properties of the material)

MT = Material Thickness or Sheet Thickness

[Note:- Bend Angle is not the included angle. It is actually the excluded angle.]

And, If you don’t want to calculate this value by yourself, you can also use a ready-made Bend Deduction Chart also. This chart will provide you BD value for different values of all of the parameters.

## Conclusion

What will you prefer for calculation of the length of the Flat Pattern, BA or BD? What is your opinion? Let me know in the comments below.

So, this is all about today’s topic. I hope you got all the points I mentioned above. If you are still struggling to understand anything, please let me know that as well, in the comments below. I will try to respond as soon as possible.

I have some other articles for you to read next:

Sheet Metal Bend Allowance Explained [with Formula and Calculator]

Sheet Metal K Factor (with Calculator and Formula)

Sheet Metal Fabrication Process [Step-By-Step Explained]