How to Calculate Sheet Metal Bending Radius?

How to Calculate the Bending Radius of Sheet Metal?

The sheet metal bending radius is a critical value in sheet metal drawing that can be difficult to determine during the actual processing.

This radius is dependent on the material thickness, the pressure of the press brake machine, and the width of the bending die’s lower die groove.

A simple and rough method to determine the bending radius is:

• If the plate thickness is less than 6mm, the bending radius can be equal to the plate thickness.
• If the plate thickness is between 6mm and 12mm, the bending radius is typically 1.25 to 1.5 times the plate thickness.
• If the plate thickness is greater than or equal to 12mm, the bending radius is typically 2 to 3 times the plate thickness.

Experience in actual sheet metal processing shows that when the plate thickness is generally no more than 6mm, the inner radius of sheet metal bending can directly use the plate thickness as the radius.

When the bending radius is r = 0.5, the general sheet metal thickness t is equal to 0.5mm.

If a bending radius different from the plate thickness is required, a special die must be used for processing.

When the sheet metal drawing calls for a 90-degree bend with a particularly small bending radius, the sheet metal should first be grooved and then bent.

Special press brake tooling, such as punches and dies, can also be used.

The relationship between the bending radius of sheet metal and the width of the lower die groove of the bending die has been established through numerous experiments in sheet metal processing.

For example, when a 1.0mm plate is bent with an 8mm groove width, the ideal bending radius is R1.

If the groove width is increased to 20mm, the depth of the stretched plate increases, resulting in a larger tensile area and a larger R angle.

To avoid damaging the press brake die and to maintain the desired bending radius, it is recommended to bend with a narrow groove, following the standard ratio of 1:8 between plate thickness and groove width.

The minimum recommended ratio is 1:6 and bending with a ratio of less than 1:4 is not recommended.

Suggestion: If the strength allows, it is preferable to groove first and then bend in order to achieve a small sheet metal bending radius.

The following figure is a table provided by the press brake manufacturer, which shows the corresponding relationship between bending radius, pressure, and minimum bending height.

• V – bend notch width
• R – bend radius
• B – minimum bending height
• S – sheet thickness

Note: The data with gray scale in the table represents the required bending pressure P (KN/m), and the maximum bending force of the press brake machine is 1700KN. There are five available bending knife edges: V = 12, 16, 25, 40, and 50.

Please refer to your available knife edge and bending length to determine the bending radius, which will help you calculate the accurate length of the material to be unfolded.

The above information pertains to the pressure parameters and bending die width of a single press brake.

The actual calculations should be based on the pressure and bending die of your own sheet metal processing facility.

Bend Radius Chart for Mild Steel, Stainless Steel & Aluminum

When considering sheet metal design, it’s important to understand how the bend radius affects your choice of materials. In this section, we’ll discuss some popular material options, such as mild steel, stainless steel, and aluminum alloys.

(1) Bend Radius Chart for Mild Steel

Mild steel is a versatile material for sheet metal fabrication due to its formability and cost-effectiveness. When bending low carbon steel, you should aim for a minimum bend radius equal to the sheet thickness or greater. Some common thicknesses and their respective minimum bend radii include:

Keep in mind that tighter bends can lead to cracks or distortions in the material. Thicker sheets may also require increased force during the bending process.

(2) Bend Radius Chart for Stainless Steel

Stainless steel is known for its corrosion resistance and durability. For most stainless steel grades, you’ll need a larger bend radius compared to low carbon steel. The ratio of the bend radius to the sheet thickness typically varies between 1:1 and 2:1, depending on factors like the type, hardness, and thickness of the stainless steel. Some guidelines for minimum bend radii include:

Remember to consider the grade and properties of your chosen stainless steel when determining the appropriate bend radius for your application.

(3) Bend Radius Chart for Aluminum Alloys

Aluminum alloys offer lightweight, strong, and corrosion-resistant options for sheet metal fabrication. Similar to low carbon steel, the minimum bend radius for aluminum alloys is typically equal to the sheet thickness. However, some specific alloys can exhibit better or worse formability. Here’s a general guide to minimum bend radii for a few popular aluminum alloys:

Be mindful of the alloy’s specific properties when planning your project. An improper bend radius can result in damage to the material or the need for additional post-bending processes to correct distortions.

Internal Radius of the Workpiece

Before discussing the internal radii (R-angles) of workpieces, it’s beneficial to understand the characteristics of metal materials.

As illustrated in the stress-strain curve below, the initial portion represents the elastic deformation phase, where the material can return to its original position after the tensile force is released.

Upon continuing to apply force past the yield point, the material enters the strain-hardening phase, where further tensile force causes permanent plastic deformation. To induce greater plastic deformation, increased force is necessary.

After reaching the peak stress, further tensile force leads to necking and eventually complete fracture. During the bending process, the deformation of the sheet metal primarily occurs in the strain-hardening phase, characterized by an increased stress requirement as strain grows.

The internal R-angle of a workpiece is related to the material, as shown in the graph below.

Materials with low strain-hardening have smaller internal R-angles, while those with high strain-hardening exhibit larger internal R-angles. The internal R-angle is also influenced by the die opening of the lower mold; the smaller the opening, the smaller the internal R-angle, as indicated in Table below.

Table: Relationship Between the Internal Radius of the Workpiece and the Die Opening

The selection range for the bending lower die opening is typically:

• For sheet metal less than 4mm thick, a die opening of 6 to 8 times the material thickness;
• For sheet metal over 4mm thick, a die opening of 8 to 12 times the material thickness.

Therefore, the desired internal R-angle for a bent workpiece can be achieved by considering the material properties in conjunction with the choice of die opening.

Requirements for the upper mold: As long as the upper mold’s R-angle does not exceed the standard R-angle, it has almost no effect on the internal R-angle of the bent workpiece.

• If the required internal R-angle of the workpiece is larger than the standard, the R-radius of the upper mold’s tip should be increased;
• If the required internal R-angle is smaller than the standard, slotting of the sheet metal or bottoming bending can be utilized, and the R-radius of the upper mold’s tip should be decreased.

For some materials with poor ductility, a larger R-radius at the mold’s tip might also be necessary to bend a larger internal R-angle to prevent material fracture.

Understanding Sheet Metal Bend Radius

Sheet metal bend radius is an essential aspect to consider when fabricating or designing parts. It has a significant impact on the quality and functionality of the final product.

In this section, you’ll learn about bend radius, factors that influence it, and guidelines for selecting the appropriate minimum bend radius.

Factors Influencing Bend Radius

The bend radius depends on various factors, such as:

• Material: Different metals have differing responses to bending. For example, aluminum can be bent into a tighter radius than steel due to its flexibility.
• Thickness: As the thickness of the sheet metal increases, the minimum bend radius also increases.
• Grain direction: Bending along the grain direction requires a larger radius than bending across the grain.
• Bend angle: As the bend angle increases, the bend radius may need to be larger to avoid stress concentration or cracking.
• Tooling: The die and punch used in a press brake also influence the bend radius.

Understanding these factors and their impact on bend radius can help you make informed decisions during the design process and improve the quality and durability of your parts.

Minimum Bend Radius Guidelines

To avoid crack formation or part deformation while bending, it’s essential to adhere to minimum bend radius guidelines. These guidelines can vary based on the material and its properties:

• Mild Steel: For materials with a thickness up to 1.2 mm, a minimum bend radius of 0.8T (T = material thickness) is recommended.
• Aluminum: A minimum bend radius of 2T is typically suggested for materials below 4 mm thickness.
• Stainless Steel: For thicknesses up to 3 mm, a minimum bend radius of 1.5T is proposed.

These are general guidelines, and it’s crucial to consult material-specific recommendations or experiment with your specific sheet metal and tooling combinations to achieve the desired outcome. By adhering to appropriate bend radius guidelines, you can ensure a high-quality end product with fewer defects, less waste, and increased strength.