wire drawing dies calculation

D = wire diameter
Dl = beginning wire diameter
Ds = ending wire diameter
AR = reduction in area
N = number of dies
Df = finished diameter of the die
Bl = bearing length
A = die angle
Back A = back relief angle

Finished diameter by reduction:

Starting diameter by reduction:

Even reduction in area:

Area in reduction:

Elongation %:

Meeting Point:

5%

10%

15%

20%

25%

30%

35%

2°

2.73

1.33

0.86

0.63

0.49

0.39

0.33

4°

5.46

2.66

1.72

1.26

0.97

0.79

0.65

6°

8.19

3.99

2.59

1.88

1.46

1.18

0.98

8°

10.92

5.32

3.45

2.51

1.95

1.57

1.30

10°

13.65

6.65

4.31

3.14

2.44

1.97

1.63

12°

16.30

7.94

5.15

3.75

2.91

2.35

1.95

14°

19.03

9.27

6.01

4.38

3.40

2.74

2.27

16°

21.76

10.59

6.87

5.01

3.89

3.14

2.60

Delta values for a range of die semi-angles and drawing reductions

Known Sides and Angles

a and b

c = √a² + b²

A = arc tan a/b

B = arc tan b/a

a and c

b = √c² - a²

A = arc sin a/c

B = arc cos a/c

b and c

a = √c² - b²

A = arc cos b/c

B = arc sin b/c

a and ∠A

b = a/tan A

c = a/sin A

B = 90° - A

a and ∠B

b = a x tan B

c = a/cos B

A = 90° - B

b and ∠A

a = b x tan A

c = b/cos A

B = 90° - A

b and ∠B

a = b/tan B

c = b/sin B

A = 90° - B

c and ∠A

a = c x sin A

b = c x cos A

B = 90° - A

c and ∠B

a = c x cos B

b = c x sin B

A = 90° - B

Celsius: (Celsius X 9/5)+32 = Fahrenheit

Fahrenheit: (Fahrenheit -32) X 5/9 = Celsius

Feet/Minute X .00508 = Meters/Second

Meters/Second X 196.86 = Feet/Minute

Gallons X 3.785 = Liters

Liters X .2642 = Gallons

Horsepower X .7457 = Kilowatts

Kilowatts X 1.341 = Horsepower

Inch X 25.4 = Millimeters

Millimeters X .03937 = Inch