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Plate Rolling: Understanding the Formula and Calculation Methods

Plate rolling is a widely used technique in metal fabrication that involves bending and shaping metal plates to achieve desired shapes and curves. One crucial aspect of plate rolling is understanding the formulas and calculation methods involved.

Understanding Plate Rolling

Plate rolling is a metal forming process that utilizes specialized machinery to bend and shape metal plates. It is commonly used in industries such as construction, automotive, aerospace, and manufacturing to produce components like cylindrical shells, cylinders, cones, and curved sections. Plate rolling allows for the creation of complex geometries that are difficult to achieve through other fabrication methods.

The Plate Rolling Formula

The plate rolling formula is a mathematical equation used to determine the required bending force and the curvature of the plate during the rolling process. While there are different formulas available, one widely used equation for plate rolling is the following:

L = (π × D × (R + t) × (R + t)) / (2 × t)

In the above formula:

  • L represents the length of the plate being rolled.
  • D denotes the diameter of the rolls in the plate rolling machine.
  • R represents the desired bend radius of the plate.
  • t represents the thickness of the plate.

Calculation Methods for Plate Rolling

To calculate the parameters involved in plate rolling, including the bend radius, length, or thickness, the plate rolling formula can be rearranged accordingly. Here are the calculation methods for some key variables:

  1. Bend Radius Calculation: Rearranging the plate rolling formula allows us to calculate the required bend radius for a given plate rolling process: R = [(2 × t × L) / (π × D)] – t
  2. Length Calculation: By rearranging the formula, the length of the plate can be calculated based on the desired bend radius: L = [(2 × t × R) + t] × (π × D)
  3. Thickness Calculation: The formula can also be rearranged to calculate the required plate thickness for a specific bend radius and length: t = [(L × (π × D – 2 × R)) / (2 × R + π × D)]

It is important to note that these formulas provide a starting point for plate rolling calculations, and adjustments may be necessary based on specific material properties, machine capabilities, and process considerations.

Recommended Plate Rolling Formulas

Bend Radius (R)[(2 × t × L) / (π × D)] – t
Length (L)[(2 × t × R) + t] × (π × D)
Thickness (t)[(L × (π × D – 2 × R)) / (2 × R + π × D)]

Note: The values provided in Table 1 are based on the rearranged plate rolling formula mentioned above.


Plate rolling is a versatile metal fabrication technique that allows for the bending and shaping of metal plates to create various components and structures. By understanding the plate rolling formula and employing appropriate calculation methods, fabricators can determine the required bend radius, length, and thickness for a successful plate rolling process. However, it is crucial to consider material properties, machine capabilities, and other factors specific to each project to achieve optimal results.