Fixed a bunch of minor issues including CMakeLists.txt

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2024-02-08 23:44:59 -08:00
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# Calculating Bend Allowance
Calculating bend allowance involves considering several key factors:
Bend Angle (α): The angle at which the sheet metal is bent.
Inside Radius (R): The radius of the bend where the material is not deformed.
Material Thickness (T): The thickness of the sheet metal being bent.
K-factor (K): A value that represents the position of the neutral axis (where the material is neither stretched nor compressed) relative to the material thickness. It varies based on the material properties and the bending radius
The formula for calculating bend allowance (BA) is given as:
[ BA = \alpha \times (\pi \times R + \frac{K \times T}{2}) ]
This formula takes into account the bend angle, the inside radius, the thickness of the material, and the K-factor to determine the arc length of bending measured along the neutral axis of the metal plate 14. Once the bend allowance is calculated, it is added to the flat length to determine the required sheet metal length needed to form the desired workpiece

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# Bend Deduction
Bend Deduction Calculation
The V die opening is used to calculate the bend deduction, which is the reduction in size of the workpiece due to the bending process. This calculation involves the V die opening to ensure that the workpiece's size is reduced appropriately for the intended application.
[ BD = \frac{2 \times \tan(\frac{\theta}{2}) \times R \times T}{1 - \cos(\theta)} ]
Where:
( BD ) is the bend deduction.
( \theta ) is the bend angle in radians.
( R ) is the inside radius of the bend.
( T ) is the thickness of the material.
Calculating bend deduction involves several factors:
Bend Angle (α): The angle at which the sheet metal is bent.
Inside Radius (R): The radius of the bend where the material is not deformed.
Material Thickness (T): The thickness of the sheet metal being bent.
K-factor (K): A value representing the position of the neutral axis relative to the material thickness. It varies based on the material properties and the bending radius 2.
The K-factor is used to calculate the bend allowance and is also relevant when calculating bend deduction. It helps determine the length of the metal plate stretched during the bending process and is a fundamental value for determining the bending allowance and bending deduction
Additionally, when calculating bend deduction, it's important to note that the neutral axis shifts towards the inside surface of the bend during the bending process. This shift, combined with the material's properties and the bending radius, affects the amount of elongation that occurs during bending, which is taken into account when calculating bend deduction

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// Inputs for Bend Angle Tonnage required
// Material Type:L A
// Tensile Strength (if known) in Mpa
// Material Thickness
// K-Factor
// V die opening (print suggested v opening of 8x material thickness)
// Radius
// Minimum Flange
// {[(575 × Material thickness squared) / Die width] / 12} × Material factor
# Inputs for calculating the Bend Angle Tonnage required
// Outputs for Bend Angle Tonnage
// P in kN/mt and convert to Tons (lb^2/i)
- Material Type: Aluminum or Steel
- Tensile Strength (if known) in Mpa
- Material Thickness in inches, The material thickness plays a significant role in determining the internal radius, especially in air forming where the radius is produced as a percentage of the die opening width. For example, with 0.125-in.-thick material, the minimum inside bend radius is 63 percent of the material thickness, which would be 0.063 in.
- K-Factor
- V die opening (print suggested v opening of 8x material thickness) in inches
The V die opening is typically described by its width and height, but for calculations involving tonnage and bend angles, both the width and height are considered. It affects the tonnage of the press brake, which is the maximum amount of metal that the press brake can handle at once without overheating or damaging the machine. Tonnage calculations take into account the V die opening size to ensure that the press brake can safely accommodate the workload
Width (V-die width): This is the horizontal dimension of the V die opening. It affects the bend radius and the amount of material removed from the radius. The V-die width is used in calculations such as the 20 percent rule, which states that the inside radius produced is equal to a percentage of the V-die opening factored by material type
Height (V-die height): This is the vertical dimension of the V die opening. It affects the tonnage of the press brake and the force required to bend the material. A larger V-die height indicates a greater tonnage requirement, which can affect the strength of the press brake and the time required to complete the bending operation.
- Desired bend radii/radius
When determining the internal radius of a bend, the V die opening is essential. It helps to calculate the internal radius produced by the press brake, which is often a percentage of the V die opening factored by material type. The internal radius is often determined as a percentage of the V die opening width, with the percentage varying depending on the material type. For instance, for 304 stainless steel, it might be 20-22 percent of the die opening.
- Minimum flange dimensions width and length
The V die opening is also used to determine the minimum flange, which is the smallest diameter of the corner radius that can be achieved by the press brake. The V die opening size helps to define the limits of the press brake's capabilities
## Formula for tonnage
{[(575 × Material thickness squared) / Die width] / 12} × Material factor
## Conversion output
- P in kN/mt and convert to Tons (lb^2/i)