Lead screw type

주의 : Multi Spindle Head의 master screw type은 적용 하지 말 것.

$V$ = Cutting speed (m/min),   $F$ = Feed (mm/min) = $n \times p$,   $n$ = R.P.M,   $p$ = PITCH

가공물 재질 가공경 STRAIGHT FLUTED TAP SPIRAL TAP
HSS WC HSS WC
VFVFVF
FC20
FC25
FC25DC
FCD-J
M6, M8, M10
NPTF1/16, PT1/8
6~10$n \times p$10~15$n \times p$7~12$n \times p$
M12, M14, M16
PT1/4, PT3/8
6~10$n \times p$15~20$n \times p$7~12$n \times p$
M20, M24 6~10$n \times p$15~20$n \times p$7~12$n \times p$
FCV35
FCD50
FCD50A
FCD70
FCD70C
FCMP55S
M6, M8, M10
NPTF1/16, PT1/8
6~8$n \times p$8~12$n \times p$7~10$n \times p$
M12, M14, M16
PT1/4, PT3/8
6~8$n \times p$12~16$n \times p$7~10$n \times p$
M20, M24 6~8$n \times p$15~20$n \times p$7~10$n \times p$
AC2B-A
AC3A
AC4B
A4B-F
ADC10
M6, M8, M10
NPTF1/16, PT1/8
10~15$n \times p$10~15$n \times p$10~15$n \times p$
M12, M14, M16
PT1/4, PT3/8
10~15$n \times p$15~20$n \times p$10~15$n \times p$
M20, M24 10~15$n \times p$15~20$n \times p$10~15$n \times p$
S43C
S44C
S48C
S48CM
S53C
S53CM
M6, M8, M10
NPTF1/16, PT1/8
6~8$n \times p$10~15$n \times p$7~15$n \times p$
M12, M14, M16
PT1/4, PT3/8
6~8$n \times p$15~20$n \times p$7~15$n \times p$
M20, M24 6~8$n \times p$15~20$n \times p$7~15$n \times p$
SCM420H
SCM318
SCM415
SCM440H
ASM443H
ASCM17H1
M6, M8, M10
NPTF1/16, PT1/8
6~10$n \times p$10~15$n \times p$7~15$n \times p$
M12, M14, M16
PT1/4, PT3/8
6~10$n \times p$15~20$n \times p$7~15$n \times p$
M20, M24 6~10$n \times p$15~20$n \times p$7~15$n \times p$

MASTER SCREW TYPE (전용공작기계)

적용범위 : Multi Spindle Head의 Master screw type.

$V$ = Cutting speed (m/min),   $F$ = Feed (mm/min) = $n \times p$,   $n$ = R.P.M,   $p$ = PITCH

TAP SIZEV
M6 3.7~4.8
M8 5.0~6.3
M10 6.3~7.8
M12 7.5~9.4
M14 8.5~11.0
M16 10.0~12.0
M20 10.0~13.0
M24 10.0~13.0
TAP SIZEV
NPTF 1/16 4.5~5.6
PT 1/8 6.0~7.6
PT 1/4 8.0~10.0
PT 3/8 10.0~13.0

절삭동력 계산

  • Work material : FC25DC (HB201-232)
  • Screw type : Master screw
  • Type of tap : Spiral tap
  • Material of tap : HSS
  • Tool specification : M16x2.0 ($D=16$, $PITCH=2.0$)
  • Count (EA) : 1 EA
  • $V$ (m/min) : Cutting speed (= 12)
  • $H$ (mm) : Effective depth (= 20.0)
R.P.M (rev/min)
$$RPM = \frac{V \times 1000}{\pi \times D} = \frac{12 \times 1000}{\pi \times 16} = 238.732\text{ rpm}$$
Feed rate $F_1$ (mm/min)
$$F_1 = PITCH \times RPM = 2.0 \times 238.732 = 477.465$$
Cutting Time $T$ (sec)
$$T = 2.0 \times \frac{(L_1 + H + 3.0) \times 60}{F_1} = 2.0 \times \frac{(0 + 20.0 + 3.0) \times 60}{477.465} = 5.781\text{ sec}$$
Chip량 (Rate of metal removal) $Q$ ($\text{cm}^3\text{/min}$)
$$\begin{aligned} Q &= A \times L_{av} \times RPM \times 10^{-3} \\ &= 0.5725 \times 47.166 \times 238.732 \times 10^{-3} \\ &= 6.501\text{ cm}^3\text{/min} \end{aligned}$$
나사의 단면적 ($A$)
$$A = \frac{(D-D_1)^2}{4.0} \times \tan(30^\circ) = \frac{(16-14)^2}{4.0} \times \tan(30^\circ) = 0.5725$$
평균지름 ($D_{av}$)
$$D_{av} = \frac{D+D_1}{2.0} = \frac{16 + 14}{2.0} = 15.0$$
나사길이 / PITCH ($L_{av}$)
$$L_{av} = \sqrt{(D_{av} \times \pi)^2 + Pitch^2} = \sqrt{(15.0 \times \pi)^2 + 2.0^2} = 47.166$$
TAP형태 보정계수 ($k$)

$k=1.50$ : STRAIGHT FLUTED TAP, 세목나사

절삭 토크 $T_{max}$ ($\text{N}\cdot\text{m}$)
$$\begin{aligned} T_{max} &= \frac{\tan \theta}{24000} \times (D - D_1)^2 \times (D + 2D_1) \times K_t \times k \times 9.81 \\ &= \frac{\tan(30^\circ)}{24000} \times (16 - 14)^2 \times (16 + 2 \times 14) \times 319 \times 1.5 \times 9.81 \\ &= 19.873 \end{aligned}$$
순수 절삭동력 $N_o$ (Kw)
$$N_o = \frac{T_{max} \times RPM}{9550} = \frac{19.873 \times 238.732}{9550} = 0.497\text{ kW}$$
Motor의 선정 = 1.5 kW

계산된 순수절삭동력 $N_o = 0.497\text{ kW}$를 기준으로 한 단계 높은 사양을 채택합니다.

No
(kW)
초과-0.81.32.64.15.99.213.116.519.1
이하0.81.32.64.15.99.213.116.519.126.0
효율(η)1.881.71.41.341.271.21.151.151.151.15
사용 Motor1.52.23.75.57.511.015.019.022.030.0