Formula

Elongation percentage

The inlet wire diameter is calculated from the outlet wire diameter for a given elongation by using (see picture below):
Where:
D = inlet wire diameter [mm, inches]
d = outlet wire diameter [mm, inches]
E = wire elongation percentage [%]

Reversely, the outlet diameter is calculated from the inlet diameter by:

The elongation percentage can be calculated from the inlet and outlet wire diameter by using:

Area reduction percentage

The inlet wire diameter is calculated from the outlet wire diameter for a given area reduc- tion by using:
Where:
D = inlet wire diameter [mm, inches]
d = outlet wire diameter [mm, inches]
A = area reduction percentage [%]

Reversely, the outlet diameter is calculated from the inlet diameter

The area reduction percentage can be calculated from the inlet and outlet wire diameter by using:

Elongation – versus area reduction percentage

The relation between the elongation percentage and area percentage is

Where:
E = wire elongation percentage [%]
A = area reduction percentage [%]

Physical properties for common materials

The density of materials is equivalent to the mass per unit volume with the given equation:
Where:
r = density of the substance [kg/m3 ]
m = mass of the substance [kg]
V = volume of the substance [m3 ]

Diameter vs. wire weight

The volume of a length of wire equals:
Where:
V = volume of wire [m3 ]
D = wire diameter [mm]
L = length of wire [m]

Calculating the wire diameter of a given measured length of wire with a certain mass is done with:
Where:
D = wire diameter [mm]
m = mass of wire [kg]
r = density of the wire [kg/m3 ]
L = length of wire [m]
p = 3,1416

The diameter from a certain length of wire can also be calculated with the following formula:
Where:
D = wire diameter [mm]
c = constant, derived from wire density [mm3 /g]
m = mass of wire [g]

A selection of constants are shown in the following table.

Elongation set calculations

The next die and the previous die in an elongation set is calculated with

The factors behind Dcurrent in the above two formulas are calculated for various elongation percentages and shown in the table below.
The next die and previous die in a set are calculated by making use of the factor in the table and the following formulas:

In these formulas, coefficient c1 is to be used for calculating the next size in a set and coefficient c2 is to be used to calculate the previous size in a set.