
When the pitch is large or the screw diameter is small, the Thread angle Pitch P (large)
Pitch P (small) = lead advance flank side becomes small. In particular, this will Thread height 2 cause shorter life of the insert in the case of trapezoidal screw with small fl ank angle. It is ideal without any interference for the thread cutting insert to have an equal relief angle on both right and left. Replace the shim so that the rake face of insert faces Lead angle D
the thread groove direction (that is, = ). Flank (large)
3 Lead angle (small) Calculating the lead angle α The lead angle is calculated as follows: E
= tan-1 R/πd) = tan-1 nP/πd) R : Lead Shim Insert n : No. of threads θ P : Pitch Toolholder d : Pitch diameter
| Calculating the relief angle | P | Thread | |||
| groove | F | ||||
| β3 | |||||
| Lead angle |
The relief angle is calculated as follows: Pitch compensation
1 diameter d 1
Insert Small clearance 90°-
1 -1 interference) 2
Shim G
The α of a standard toolholder is 10˚ for external threading
and 15˚ for internal threading.
ød (Pitch diameter)
| Included angle | θ | 1 | |
| 2θ | |||
| External threading tool Internal threading tool | |||
| 60° | 30° | 5.8° | 8.8° |
| 55° | 27.5° | 5.2° | H 7.9° |
| 30° | 15° | 2.7° | 4.1° |
| 29° | 14.5° | 2.6° | 4° |
πd Accordingly, the eff ective relief angle is calculated as follows:
2 = 1 3 : Effective relief angle
2
compensation value In other words, = when the thread lead angle is equal to 1 2 the compensation value. Namely, the relief angle of the tool
compensation value is used, > . The eff ective relief angle 1 2 becomes smaller and cause the interference between the
| frank side of insert and the thread groove. Therefore, carry | 1° | 3° | 2° | |
| 1° | ||||
| out com-pensation of the lead angle so that the following | ||||
| range is obtained: |
StandardStandard CompensatedCompensated StandardStandard CompensatedCompensated
±1˚ when the thread angle is 60˚ and 55˚ K ±30˚ when the thread angle is 30˚ and 29˚ Compensation of lead angle for shim less internal toolholders When using internal threading toolholders without shim, the above- shown below. The fi nal fi gure of the designation (-2 or -3) indicates 2°
mentioned method can not be applied for lead angle compensation. or 3° lead angle to be used respectively. The toolholders without L Therefore, special toolholders for large lead angles are available as these fi gures are for 1° lead angle.
1° 2° 3°
SNR0016M16 SNR0016M16-2 SNR0016M16-3