Bend Allowance Formula: Calculator & Charts

Have you ever wondered how to precisely calculate the bending allowance for your metal fabrication projects? In this blog post, we’ll explore the fascinating world of bend allowance formulas and calculations. As an experienced mechanical engineer, I’ll guide you through the key concepts and provide practical insights to help you master this crucial aspect of sheet metal design. Get ready to dive in and unlock the secrets of creating accurate and efficient bends in your projects!

Table Of Contents

What Is Bend Allowance?

Bend allowance is a critical concept in the field of sheet metal fabrication, particularly when working with bending operations. It refers to the additional length of material required to accommodate the bend in the metal sheet. Understanding and accurately calculating bend allowance is essential for ensuring that the final dimensions of the bent part meet the design specifications.

Key Concepts

  1. Bend Allowance (BA): This is the amount of material that needs to be added to the total length of the sheet metal to account for the bend. It compensates for the stretching and compressing of the material during the bending process.
  2. Neutral Axis: When a sheet of metal is bent, the material on the outside of the bend stretches, while the material on the inside compresses. The neutral axis is an imaginary line within the material that remains at a constant length during bending. The bend allowance is calculated based on the position of this neutral axis.
  3. K-Factor: The K-factor is a ratio that represents the location of the neutral axis relative to the thickness of the material. It is used in the calculation of bend allowance and varies depending on the material and the bending process.

The concept of bending allowance is as follows: when a sheet of metal is bent, it has three dimensions – two outer dimensions (L1 and L2) and one thickness dimension (T).

It is important to note that the sum of L1 and L2 is greater than the unfolded length (L), and the difference between the two is known as the bending allowance (K).

Hence, the unfolded length of a bend can be calculated as L = L1 + L2 – K.

Related reading:

Bend Allowance Formula

Bend Allowance Formula for Steel

How was the formula for bend allowance created? And how do you calculate bend allowance?

Bend allowance is dependent on the inside formed radius. The lower V die opening determines the inside radius (I.R.) of a formed part. The inside radius for mild steel is 5/32 x lower V die opening (W) when the punch radius is less than 5/32 x W.

If I.R.< Material Thickness (t)

BA=3.1416180×(I.R.+t3)×A

If I.R.> 2 x Material Thickness (t)

BA=3.1416180×(I.R.+t2)×A

Where A= (180 – Bend Included Angle)

If the inside radius is equal to t or 2t, or between t and 2t, the bend allowance is calculated by interpolating the bend allowance values from the two formulas mentioned above.

Bend allowance calculation formula

Besides, to calculate this bending allowance, you can also use the following formula:

BA=A×π180×(R+K×T)
  • BA – Bend Allowance
  • A – bend angle in deg
  • R – inside bend radius in m
  • K – constant
  • T – material thickness in m

This formula considers the diverse geometries and properties of the parts to be formed.

The material thickness (T), bending angle (A), inner bending radius (R), and K-factor of the material to be bent are the most critical factors in this calculation.

As evident from the above formula, calculating the bending allowance is a simple process.

You can determine the bending allowance by substituting the aforementioned values into the formula.

When the bending angle is 90°, the bending allowance formula can be simplified as follows:

BA=π2(R+K×T)

Note: The K-factor for most standard materials and thicknesses typically falls between 0 and 0.5.

You can accurately calculate the value of the K-factor using the following K-factor calculator:

Bend Allowance Formula for Aluminum

Bend allowance is a critical factor in the sheet metal bending process, particularly for materials like aluminum. It accounts for the material stretch that occurs during bending, ensuring accurate final dimensions. Here, we will discuss the specific formula used for aluminum plates and its application.

Formula Explanation

The bending allowance for an aluminum plate can be calculated using the following formula:𝐿=𝐿1+𝐿2−1.6𝑇

Where:

  • 𝐿 is the total length of the flat pattern (expanded size).
  • 𝐿1 and 𝐿2 are the two bending lengths.
  • 𝑇 is the thickness of the aluminum plate.
  • 1.6𝑇 is the empirical bend allowance value.

Empirical Value

The value 1.6𝑇 is derived empirically, meaning it has been established through practical experimentation and production experience. This factor accounts for the material’s behavior during bending, ensuring that the final dimensions are accurate.

Application Conditions

It’s crucial to note that this formula is specifically applicable under certain conditions:

  • The bending opening (the distance between the bending lines) should be 6 times the thickness of the aluminum plate. This ensures that the material’s behavior aligns with the empirical value used in the formula.

Practical Usage

To determine the expanded size of the aluminum plate, follow these steps:

  1. Measure the two bending lengths 𝐿1 and 𝐿2.
  2. Measure the thickness 𝑇 of the aluminum plate.
  3. Apply the formula 𝐿=𝐿1+𝐿2−1.6𝑇.

This calculation will give you the flat pattern length required before bending, ensuring that the final bent part has the correct dimensions.

Bend Allowance Calculator

The bending allowance calculator provided below simplifies the process of calculating the bending allowance value, which is crucial for accurate sheet metal fabrication. Bend allowance is the length of the neutral axis between the bend lines, which helps in determining the correct blank size for a bent part.

Bend Allowance Chart

The bend allowance chart is an essential resource for professionals working with sheet metal fabrication. It provides a comprehensive listing of key parameters such as material thickness, bending radius, bending angle, bend allowance, and bend deduction values for common materials. This information is crucial for accurately calculating the development length of a sheet metal part after bending.

Further reading:

(1) Bending allowance chart for cold rolled steel sheet SPCC (electro-galvanized sheet SECC)

TVAngle0.60.811.21.522.533.544.55Shortest size
V4900.91.42.8
V41200.7
V41500.2
V6901.51.72.154.5
V61200.70.861
V61500.20.30.4
V7901.61.82.12.45
V71200.80.91
V71500.30.30.3
V8901.61.92.22.55.5
V8300.30.340.40.5
V8450.60.70.81
V86011.11.31.5
V81200.80.91.11.3
V81500.30.30.20.5
V10902.73.27
V101201.31.6
V101500.50.5
V12902.83.654.58.5
V12300.50.60.7
V124511.31.5
V12601.722.4
V121201.41.72
V121500.50.60.7
V14904.310
V141202.1
V141500.7
V16904.5511
V161202.2
V161500.8
V18904.613
V181202.3
V181500.8
V20904.85.16.614
V201202.33.3
V201500.81.1
V25905.76.4717.5
V251202.83.13.4
V25150111.2
V32907.58.222
V321204
V321501.4
V40908.79.428
V401204.34.6
V401501.51.6

(2) Bending allowance chart for aluminum plate

TVAngle0.60.811.21.522.533.544.55Shortest size
V41.42.8
V61.64.5
V71.61.85
V81.82.43.15.5
V102.43.27
V122.43.28.5
V143.210
V163.244.811
V184.813
V204.814
V254.85.4617.5
V326.36.922

(3) Bending allowance chart for copper plate

Angle0.60.811.21.522.533.544.55Shortest size
903.65.26.88.428
120
150

(4) Amada bending allowance chart

MATERIALSPCCSUSAl
(LY12)
SECC
TΔTΔKΔTΔKΔTΔKΔTΔK
T=0.6 1.25 1.26    
T=0.80.181.420.151.45  0.091.51
T=1.00.251.750.201.800.301.700.381.62
T=1.20.451.950.252.150.501.900.431.97
T=1.40.642.16      
T=1.50.642.360.502.500.702.30  
T=1.6      0.692.51
T=1.80.653.00      
T=1.90.603.20      
T=2.00.653.350.503.500.973.030.813.19
T=2.50.804.200.854.151.383.62  
T=3.01.005.00 5.201.404.60  
T=3.2      1.295.11
T=4.01.206.801.007.00    
T=5.02.207.802.207.80    
T=6.02.209.80      

Note:

  • The V12 coefficient for 2mm C profile is 3.65 and that for other 2mm plates is 3.5). The edge folding bend allowance for 2mm plate is 1.4;
  • The bend allowance for 6mm copper plate is 10.3;
  • The bend allowance for 8mm copper plate is12.5;
  • The bend allowance for 10mm copper plate is 15;
  • The bend allowance for 12mm copper plate is 17;
  • The bend allowance for 3.0 stainless steel with V25 die is 6;
  • The bend allowance for 3.0 stainless steel with V20 die is 5.5;
  • (The copper bars exceeding 6mm all use the bending allowance of V40 lower die)

A well-maintained bend allowance chart is a vital tool in the sheet metal fabrication industry. It ensures precision and efficiency in the bending process, ultimately leading to higher quality and more accurate finished products. By understanding and utilizing the values provided in the chart, engineers and fabricators can achieve optimal results in their projects.

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Shane
Author

Shane

Founder of MachineMFG

As the founder of MachineMFG, I have dedicated over a decade of my career to the metalworking industry. My extensive experience has allowed me to become an expert in the fields of sheet metal fabrication, machining, mechanical engineering, and machine tools for metals. I am constantly thinking, reading, and writing about these subjects, constantly striving to stay at the forefront of my field. Let my knowledge and expertise be an asset to your business.

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