Factors That Affect the Minimum Bending Radii of Pipes, Cables, and Sheet Metal

In engineering the minimum bending radius of a material tells you how tightly a piece can be bent before it breaks. Materials that can withstand a high degree of curvature are preferred in construction becuase they are more versatile, lending themselves to a wider array of industrial applications

Many factors affect a material's minimum bending radius, and knowing these factors is crucial to building sound structures. For example, engineers who lay fiber optic cables often need to wind the cable around cyliners. Winding too tightly can damage the wires. In pipe fitting and sheet metal construction, the minimum bending radii of materials depends on their thickness, composition, and skill of the machinist.

How Minimum Bending Radius is Measured

The bending radius of a metal tube (or cable or piece of sheet metal) is defined as the radius of the inner part of the curve. If you coil a pipe around a cylinder that has a 24 inch diameter, then the bend radius is 12. The minimum bending radius, R, is the radius of the smallest such cylinder that a pipe can be bent around.

minimum bending radius
There is no single forumula for calculating the minimum bending radius of tubing or sheet metal because there are too many variables to consider, not the least of which is the machinist's skill level and technique. (See rules of thumb for sheet metal's bending radius.) However, the following list describes the main limiting factors in how tightly a sheet, pipe, or cable can be coiled.

Outer Diameter of Pipe or Thickness of Sheet

The wider the pipe/tube or the thicker the piece of sheet metal, the larger the minimum bending radius. Materials that are too thick or wide overall cannot be bent as compactly as materials that are thinner overall.

Thickness of Tube Walls

The thicker the tube wall, the smaller the miniumum bending radius. When tubing is bent, the wall of the outside edge of the curve stretches and becomes thinner, while the wall of the inside edge compresses and becomes thicker. If the walls of tubing are too thin to begin with, the outside edge will break, kink, or deform.
bent pipe cross-section
Ductility

The more ductile the material, the smaller the minimum bending radius. Rubber, as well as annealed and untempered metals can be wound around smaller cylinders. Harder materials cannot be bent as tightly.

Corrugation

A corrugated pipe has a smaller minimum bending radius than a smooth pipe made of the same material with the same dimensions. Manufacturers form stainless steel into corrugated pipes to gain flexibility while still retaining the strength of steel.

Bending Techniques

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