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How to Calculate Press Brake Tonnage in 2025 [Formula + Chart]

The tonnage of a bending machine is mainly determined by factors such as material thickness, length, material type, and bending angle. The commonly used formula is to calculate the required bending force based on the bending moment and the tensile strength of the material, and then determine the tonnage of the bending machine.

1. Calculation of bending machine tonnage

In general, the tonnage calculation of a CNC bending machine can be performed according to the following table and set in the processing parameters.

Press Brake Tonnage Calculation

1) How to calculate the tonnage of a bending machine?

The values in the table are the bending pressure when the plate length is 1m.

For example: S=4mm, L=1000mm, V=32mm, and P=330KN is obtained from the table.

This table is calculated based on the material strength σb=450N/mm2.

When bending other different materials, the bending pressure is the product of the data in the table and the following coefficients:

  • Bronze (soft): 0.5
  • Stainless steel: 1.5
  • Aluminum (soft): 0.5
  • Chromium-molybdenum steel: 2.0

“Accurate calculation of bending force is the primary condition for achieving efficient bending processing. For different materials, the difference in tensile strength will cause the bending force to change by more than 200%.” ​​—- “CNC Bending Machine Technical Manual”, China Machinery Industry Press, 2023, page 37

How to calculate press brake tonnage

2) Approximate calculation method of bending pressure

Bending machine tonnage calculation formula:
Pressure = 650S2L/V (σb = 450MPa)

  • P: Bending force (Kn)
  • S: Plate thickness (mm)
  • L: Plate width (mm)
  • V: Lower die V-shaped opening (mm)

The actual tonnage is affected by many factors. This formula calculates the bending machine force required for air bending. The actual force of our machine is preferably allowed to be up to 20% Additional capacity.

Comparison table of bending force calculation standards

MaterialISO 14692 standard coefficientDIN 6935 standard coefficientJIS B 7501 standard coefficient
Low carbon steel1.01.01.0
Stainless steel 3041.51.451.5
Stainless steel 3161.651.71.65
Aluminum alloy0.50.4-0.50.45
Copper alloy0.70.65-0.750.7
Titanium alloy1.81.75-1.91.85

Data source: International Organization for Standardization (ISO), German Institute for Standardization (DIN), Japanese Industrial Standard (JIS), 2024 edition

2. What factors affect machine tonnage?

1) Material tensile strength

The tensile strength of metal sheet refers to the maximum stress that the material can withstand when subjected to tension, and the unit is usually megapascal (MPa).

It is one of the important indicators of the mechanical properties of materials, which directly affects the performance and processability of materials. Tensile strength can be measured by the stress-strain curve of the material, usually in a standard tensile test.

 

Material tensile strength

Definition of tensile strength

Tensile strength refers to the maximum stress value that a metal material can withstand during a tensile test, from the application of external force to the fracture process.

The formula is:

σb=Fmax/A0

  • σb is the tensile strength (MPa)
  • Fmax is the maximum tensile force that the specimen can withstand when it breaks (N).
  • A0 is the original cross-sectional area of the sample (mm²)

“According to the American Society for Testing and Materials (ASTM), the tensile strength of the same material with different thicknesses may differ by 5-15%, which will directly affect the calculation of bending force.” — American Society for Testing and Materials (ASTM), Material Performance Test Report E8/E8M-21, 2022

Factors affecting the tensile strength of metal plates

The tensile strength of different types of metal materials varies greatly, and is affected by the following factors:

Material type:
The atomic structure, alloy composition, grain size, etc. of the metal will affect the tensile strength.

Heat treatment:
Process treatments such as annealing, quenching, and tempering will change the crystal structure of the metal, thereby affecting the tensile strength.

Cold working:
Processes such as cold rolling and cold drawing will increase the tensile strength of the material through work hardening.

Thickness:
The thickness of the metal sheet will affect the tensile strength to a certain extent, especially for thin plate materials, which are more affected by deformation.

Tensile strength of common metal materials

The following are the tensile strength ranges of several common metal materials:

MaterialTensile strength range (MPa)Description
Low carbon steel (mild steel)300 – 500Common building and structural materials
Medium carbon steel600 – 800Used for mechanical parts
High carbon steel800 – 1200High hardness and strength
Stainless steel520 – 1250Corrosion resistant, widely used
Aluminum alloy200 – 600Light weight, easy to form
Brass300 – 900Good corrosion resistance
Titanium alloy700 – 1200Lightweight, high strength, good corrosion resistance
Magnesium alloy200 – 350Extremely light, but low tensile strength

Importance of tensile strength in applications

Structural design:
Tensile strength is an important safety design indicator in buildings, bridges, and large mechanical structures. Materials must be reasonably selected based on their tensile strength to ensure the strength and safety of the structure.

Processing technology:
Metal forming processes such as bending, stamping, and deep drawing all need to consider the tensile strength of the material. Materials with high tensile strength are generally more difficult to form, but can provide higher strength.

Fatigue strength:
Tensile strength also affects the fatigue properties of materials in high-load, repeated stress environments.

Determination of tensile strength

Tensile strength is determined by tensile testing. On a tensile testing machine, a standard specimen is stretched until the specimen breaks, and its maximum stress is recorded. Typically, the test process is as follows:

  • Fix the standard specimen to the fixture.
  • Apply the tensile force step by step.
  • Record the stress-strain curve until the material breaks, and use the maximum stress as the tensile strength.

2) Material thickness and length

Assuming the material thickness is 1/4 inch and the length is 10 feet, the empty bending force requires 165 tons according to the bending machine tonnage formula, while some formed workpieces require at least 600 tons of bending force.

If most of the workpieces are 5 feet or shorter, the length can be reduced by almost half, greatly reducing the procurement cost.

Therefore, the length of the workpiece is very important in determining the specifications of the new machine. Similarly, the thickness of the workpiece also plays an important role in the calculation of the tonnage of the hydraulic metal bending machine.

3) Upper punch (lower die) width

The punch (also called the upper die) of the bending machine is an important part of the bending machine die, responsible for transferring force to the material to complete the bending operation. The design and selection of the upper die directly affect the quality, precision and appearance of the workpiece. According to different bending requirements, the upper die has various shapes and types, each with its own unique purpose. Now various bending machines are designed to bend according to a certain proportion.

From the tonnage table of the bending machine, the force is designed according to the ratio of the bottom die to the thickness of the plate: 8 to 1. Usually, bending at this ratio can get a better bending effect.

But this ratio is not fixed.

  • For thin materials, we can use a ratio of 6 to 1.
  • But when forming thick materials, the ratio of the bottom die V groove to the material thickness can be selected to be 10 to 1 or 12 to 1, which can reduce the bearing capacity of the bending machine and get a perfect bending effect.

The basic structure of the upper die of the CNC bending machine

The upper die of the bending machine is usually a metal bar or strip tool installed on the upper beam of the bending machine. When bending, the upper die moves downward and cooperates with the lower die (usually a V-groove) to force the sheet to bend to the desired angle and shape.

The basic characteristics of a typical upper die include:

Die shape:
The shape of the upper die determines the shape of the bend. Common upper die shapes include straight knives, sharp-angle knives, rounded-angle knives, etc.

Die angle:
The upper die angle is generally 88° or 90°, which is used for standard 90-degree bending. There are also special upper dies for non-90-degree bending operations.

Material:
The upper die is usually made of hardened steel to withstand heavy loads and long-term use.

Common upper punch die types

Depending on the bending requirements, there are many types of upper dies for bending machines, mainly the following:

Straight knife (flat head upper die)
Features: The straight knife upper die has a straight blade, which is suitable for standard 90-degree bending or greater bending operations on materials.
Use: It is used for conventional 90-degree bending and some specific larger angle bending, and is widely used in daily production.

Acute angle punch
Features: The sharp angle knife upper die has a sharp blade (less than 90°), which is used for sharp bending operations less than 90 degrees.
Use: It is suitable for precision bending of thin plates, especially for occasions where sharp bending is required, such as making V-grooves, U-grooves or some special structural parts.

Round upper die
Features: The rounded upper die has a rounded edge, which is suitable for bending operations with a certain bending radius.
Use: It is used for workpieces that require a larger bending radius, such as aluminum and copper parts, to avoid cracks or fatigue damage in the material during the bending process.

Gooseneck punch
Features: The shape of the gooseneck punch is like an inverted “S” shape, which is designed to prevent the punch from interfering with the already formed parts.
Use: It is suitable for complex workpieces or operations that require multi-step bending, especially for secondary or multiple bending of formed parts.

Multi-function punching machine
Features: The punch has an adjustable angle and replaceable cutter head to adapt to bending at various angles.
Use: It is suitable for small batch and multi-variety bending operations, which can reduce the frequency of die changes and improve production efficiency.

Special design of the punch

For some specific processing requirements, the punch may have some special designs to meet more complex bending requirements:

Segmented punching
The punch can be designed as a segmented structure so that multiple small segments of the punch can be combined and used together. This design is easy to adjust and combine according to the specific shape and size of the workpiece, and is particularly suitable for the production of small batches or variable parts.

Upper and lower die matching accuracy
The precision matching of the upper die and the lower die is very important, especially in high-precision bending operations. The upper die head and the V-groove of the lower die must be accurately aligned to ensure the accuracy of the bending angle and shape.

Anti-indentation upper die
In some workpiece processing with higher requirements, in order to avoid indentations on the material surface, you can choose an upper die with a special coating or a smooth surface, which can reduce the surface damage of the workpiece while maintaining the bending strength.

Relationship between upper die and bending force

In addition to material thickness and tensile strength, the bending force is also related to the shape of the upper die. Generally, the sharper the upper die head, the smaller the contact area, and the greater the force required for bending. The blunter or rounder the upper die head, the smaller the required bending force. Therefore, choosing a suitable upper die shape helps to reduce the bending force and improve bending efficiency.

Maintenance and care of the upper die

After long-term use of the bending machine, the upper die may be worn due to high-intensity bending operations. In order to extend the service life of the upper die, regular maintenance and care are very important.

Regular cleaning
The upper die is prone to accumulate metal chips or oil during use, affecting the accuracy of bending. Therefore, it is very important to clean the surface of the upper die regularly and keep it smooth.

Anti-rust treatment
Especially for steel upper dies, anti-rust treatment can effectively extend its service life. Usually, a layer of anti-rust oil can be applied before storage to prevent moisture in the air from corroding the surface of the upper die.

Regularly check the wear and tear
During the use of the upper die, the blade may become blunt or produce tiny cracks due to frequent use. Regularly check the wear and tear of the upper die, and repair or replace it when necessary to ensure the stability of the bending quality.

The upper die of the bending machine punch is a key component in the bending process. Reasonable selection of the upper die can not only improve the bending efficiency, but also ensure the accuracy and surface quality of the finished product. Factors such as the type, angle, bending radius, and material thickness of the upper die need to be considered comprehensively to meet different bending requirements. Regular maintenance of the upper die and maintaining its accuracy are also important steps to ensure the smooth progress of the bending process.

4) V-die (lower die) opening size

The opening size of the lower die of the bending machine (the opening width of the V-groove) is a very important parameter in the bending process, which directly affects the size of the bending force, the bending accuracy and the quality of the finished product. Selecting the appropriate lower die opening size can ensure the forming quality of the workpiece during the bending process and reduce the force required for bending.

Definition of the lower die opening size of the bending machine

The lower die opening size refers to the width of the V-groove opening of the bending machine, usually represented by the letters V or W. Selecting the correct lower die opening size is one of the key links in the bending process because it directly affects the contact area and bending radius during the bending process.

Selection criteria for the lower die opening size

The lower die opening size is usually determined according to the plate thickness t. In actual production, the basic principle for selecting the lower die opening size is: the lower die opening width is 6 to 12 times the plate thickness.

The common selection range is as follows:

  • For thin plates (thickness 1-3mm), the lower die opening size of 8 times the plate thickness is usually selected.
  • For medium and thick plates (3-12mm), the lower die opening size is usually 10 times the plate thickness.
  • For thick plates (above 12mm), the lower die opening size is usually 12 times the plate thickness.

Recommended die opening size table

Plate thickness (mm)Lower die opening size (mm)
1.06 – 8
2.012 – 16
3.016 – 20
4.024 – 32
6.032 – 48
8.040 – 64
10.050 – 80
12.060 – 96
16.080 – 128

Factors affecting the lower die opening size

The selection of the lower die opening size is related to the plate thickness and the following factors:

Material type

  • Low carbon steel: Usually standard multiples (8 to 12 times) are used.
  • Stainless steel: Since stainless steel is harder, a larger opening size is usually selected, such as 12 times the thickness.
  • Aluminum: Aluminum is softer and the opening size can be smaller, such as 6 to 8 times the thickness.

Bending angle

  • If the bending angle is 90°, the standard lower die opening size can be used.
  • If a larger bending angle is required (for example, greater than 90°), the lower die opening size needs to be slightly increased to avoid excessive deformation of the material during the bending process.
  • For sharp bends less than 90°, a smaller lower die opening can be selected to ensure sufficient forming accuracy.

Bending radius
During the bending process, the larger the opening size, the larger the bending radius; the smaller the opening size, the smaller the bending radius. In order to avoid cracking of the material during the bending process, a suitable bending radius is usually selected to control the forming accuracy.

Bending force
The larger the lower die opening size, the larger the contact area and the smaller the force required for bending. Conversely, the smaller the opening, the greater the required bending force. Therefore, when selecting the lower die opening size, the tonnage of the press brake needs to be considered.

Relationship between lower die and forming area

Lower die opening (mm)Forming area (mm)Sheet thickness range (mm)Minimum inner diameter (mm)
620.5-1.00.8
1241.0-2.01.5
165.31.5-2.52.0
2482.0-4.03.0
3210.73.0-5.04.0
48164.0-7.06.0
60205.0-9.07.5
8026.77.0-12.010.0
10033.38.0-14.012.5

Data source: Metal Forming Process Manual, Machinery Industry Press, 2023 edition, page 217

How to determine the optimal lower die opening size?

According to the plate thickness t and the specific requirements of the bending, the following steps can be used to determine the optimal lower die opening size.

Select multiples according to material thickness:

  • Thin plate: 6-8 times the plate thickness.
  • Medium thickness: 8-10 times the plate thickness.
  • Thick plate: 10-12 times the plate thickness.

Adjust according to material type:

  • For hard materials (such as stainless steel), choose a larger opening.
  • For soft materials (such as aluminum), choose a smaller opening.

Consider the bending angle and bending radius:

  • If sharp-angle bending is required, choose a smaller lower die opening.
  • If a larger bending radius is required, a larger opening can be appropriately selected.

Bending machine tonnage:
Make sure that the selected lower die opening does not exceed the load capacity of the bending machine, especially for thick plates with larger openings, which require greater bending force.

The influence of the lower die opening size on the bending force

The lower die opening size is inversely proportional to the bending force. The larger the opening, the smaller the required bending force. For example, if a low-carbon steel plate with a thickness of 6mm needs to be bent, the lower die opening of 40mm is selected, and the required bending force will be less than the bending force when the opening is 30mm.

The reasonable selection of the lower die opening size is crucial to the bending process, affecting the accuracy of the finished product, the size of the bending force and the service life of the bending equipment. The correct selection of the lower die opening size can improve processing efficiency, reduce losses and ensure the quality of the finished product.

“According to the research data of the European Sheet Metal Manufacturers Association (EMFA), the correct selection of the V-groove opening size can reduce the bending force by 20-40%, while improving the bending angle accuracy by ±0.5 degrees.” —- European Sheet Metal Manufacturers Association (EMFA) Annual Technical Report, 2024, page 42

5) Friction and bending speed

Air bending is the movement of the punch displacement and penetrates the bottom V-shaped die.

If the surface of the material is relatively clean and not lubricated, the friction will be greater during bending. If there is oil on the surface of the material or lubricant is used, the friction will be reduced, which will reduce the bending force, but the reduced friction will also increase the material rebound.

The time of the bending movement will also affect the tonnage of the bending machine. The greater the bending speed, the smaller the tonnage.

The friction coefficient changes with the bending speed. Increasing the bending speed can reduce the friction coefficient and reduce the bending force, but it will also increase the rebound of the material.

6) Bending radius

When bending with air, the bending radius is 0.156 times the bottom die opening distance. During air bending, the bottom die opening distance should be 8 times the material thickness.

For example, when bending 1.5mm carbon steel, select a 12mm opening distance, and the bending radius of the workpiece is about 1.9mm. If the bending radius is about the same as the material thickness, a bottom bend needs to be formed, and the pressure required for bottom bending is about 4 times that of air bending.

When the bending radius is greater than the material thickness, the air bending method can be used directly, and the appropriate minimum bending machine tonnage can be selected. When the bending radius is larger, it often does not affect the quality of the workpiece and future use.

7) Forming process and material physical properties

ParametersInfluencing factorsAdjustment suggestions
Material elastic modulusDetermines the degree of springbackFor every 10% increase in elastic modulus, the pre-bending angle needs to increase by 3-5%
Yield strengthAffects deformation resistanceFor every 10% increase in yield strength, the bending force increases by 8-12%
Work hardening indexAffects forming performanceMaterials with high indexes require greater bending forces
Grain directionAffects bending qualityTry to bend perpendicular to the rolling direction of the plate

“According to the latest research by the German Metalworking Technology Association (GMPTA), the anisotropy of the material can affect the bending force by up to 15%. For high-precision bending, the rolling direction and grain structure of the material must be considered.” —- Technical Bulletin of the German Metalworking Technology Association, Issue 2, 2024

To ensure that your press brake is safely within the tonnage limit, please review with our Haitong sales staff or Haitong sales engineers when you need to calculate a new press brake tonnage.

 
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