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Useful formulas:-

1. Cutting force
2. Stripping force
3. Flat blank length
4. Correction factor for flat blank length
5. Pre-form for full circle forming
6. Number of drawing process
7. Draw clearance
8. Number of draw reduction
9. Draw reduction percentage
10. Area of flat ring
11. Area of Cylinder
12. Area of fillet
13. Area of invert fillet
14. Area of hemisphere
15. Area of spherical ring & dish
 


Cutting force

F= A x Tß
F = Cutting force
S = Material thickness
L = Total cutting length
A = L x S = Shear area

Tß = Shear strength
Note : Shear strength = 80% of tensile strength

Stripping force
P= ( L x S x Tß ) / 10
P = Stripping force
S = Material thickness
L = Total cutting length
A = L x S = Shear area

Tß = Shear strength
L = a + ( R + q x s/2 )( Pi x ° / 180)
L = Flat blank length
a, b = Length of legs
R = Bend radius
q = Correction factor ( refer to table below )
° = Bend angle
Pi = 3.1416

Correction factor
Correction factor q
Ratio R : s 5.0 3.0 2.0 1.2 0.8 0.5
Correction factor 1.0 0.9 0.8 0.7 0.6 0.5
R = Bend radius
S = Material thickness
E = ( D + s ) 0.707
C = ( D + s ) 1.414

E = Center distance
C = Center distance between two apart radii
s = Material thickness
D = Inside diameter of final formed part
R = D/2 ( approximate )
Note : if R = D/2, radii will be tangent, if R /= D/2, radii will require blending.
Draw clearance
Thickness S
1st Draw
2nd Draw
Sizing Draw
< 0.4
1.08 S
1.09-1.10 S
1.04-1.05 S
0.4 - 1.27
1.08 - 1.10 S
1.10 - 1.13 S
1.05 - 1.06 S
1.27 - 3.18
1.10 - 1.13 S
1.13 - 1.15 S
1.06 - 1.08 S
> 3.175
1.13 - 1.15 S
1.15 - 1.20 S
1.08 - 1.10 S

S = Material thickness
Draw reduction
( number of draw )
H / D
No. of draw
< 0.75
1
0.7 - 1.5
2
1.5 - 3.0
3
3.0 - 4.7
4

H = Draw piece height
D = Mean diameter of draw piece
Draw % of reduction
% = 1 -( MD / D )
% = percentage of reduction
MD = Mean diameter of draw piece
D = Flat blank diameter
A = 0.7854 (( DXD )-(dXd))
D = Flat blank diameter
d = Hole diameter
A = 3.1416 ( D x H )
D = Mean diameter
H = Shell height
A= 4.935 RD + 6.283 (R x R)
D = Hole diameter
R = Radius ( 1/2 thickness )
A= 4.935 RD - 6.283 (R x R)
D = Outer diameter
R = Radius ( 1/2 thickness )
A= 6.283 ( R x R )
R = Radius ( 1/2 thickness )
A = 6.283 RH
R = Radius ( 1/2 thickness )
H = Shell height
A = 9.87 RD
D = center to center diameter
R = Radius ( 1/2 thickness )

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