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Elongation
Cold forming math
Formula's to determine wire size, wire elongation, and area reduction.
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Elongation percentage
The incoming wire diameter is calculated from the drawn wire diameter for a given elongation by:
Where:
Øin : incoming wire diameter [mm, inch]
Øout : drawn wire diameter [mm, inch]
E : wire elongation percentage [%]
Inversely, the drawn wire diameter is calculated from the incoming wire diameter with:
The elongation percentage can be calculated from the incoming and drawn wire diameter by using:
Area reduction percentage
The incoming wire diameter is calculated from the drawn wire diameter for a given area reduction by using:
Where:
Øin : incoming wire diameter [mm, inch]
Øout : drawn wire diameter [mm, inch]
A : wire area reduction percentage [%]
Inversely, the drawn wire diameter is calculated from the incoming wire diameter
The area reduction percentage can be calculated from the incoming and drawn wire diameter with the following formula:
Elongation versus area reduction
The relation between the elongation percentage and area percentage is
Where:
E : wire elongation percentage [%]
A : wire area reduction percentage [%]
See pictures to the right for a graphical representation of this relationship.
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