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Bevel Pinion: 12 Teeth, 8 Pitch, for a 24-Tooth Gear (Brown & Sharpe 1911)
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Bevel Pinion: 12 Teeth, 8 Pitch, for a 24-Tooth Gear (Brown & Sharpe 1911)

Brown & Sharpe's own worked example: the small gear of a 12 and 24 tooth bevel pair, 8 pitch, shafts at right angles, cut with the No. 8 cutter they send to anyone who orders one for this pinion. The method is the same as for mitre gears: set off centre, cut each side, file the small ends. Source: Brown & Sharpe, Practical Treatise on Gearing (1911), Fig. 23 example, Part I ch. IX–X, Part II ch. III and the set-over table p. 58. The blank sizes are our arithmetic with their rules; the steel and bore are ours. Picture: their Fig. 23.
Hejuru
1 day

Amabwiriza

1

Work out and turn the blank

Pitch diameter 12 ÷ 8 = 1.500 in. Angle of edge 26° 34′ and angle of face 59° 11′ (Brown & Sharpe's figures for every 12 and 24 tooth pair). Diameter increment = cos 26° 34′ × 0.250 = 0.224 in, so turn the steel blank to 1.72 in outside diameter. Face ½ in long. Try both angles with a protractor against the end of the hub.

Ibikoresho by'iyi ntambwe:

Umutsi w'icyuma cyoroshyeUmutsi w'icyuma cyoroshye1 length for one blank

Ibikoresho bikenewe:

Imashini yo guhinguza icyumaImashini yo guhinguza icyuma
Icyuma cyo kuca cy'itoreroIcyuma cyo kuca cy'itorero
Igipima IngoroIgipima Ingoro
MikorometeroMikorometero
2

Choose the cutter

Twice the back cone radius × 8 comes to about 13, so a No. 8, 8-pitch bevel gear cutter. Measure its thickness Tc at the pitch line, 0.145 in from its tip.

Ibikoresho bikenewe:

Icyuma gikata ingeri zihengamyeIcyuma gikata ingeri zihengamye
Kalipa ya verinie y’amenyo y’ingeriKalipa ya verinie y’amenyo y’ingeri
3

Set the head at 22° 18′

Apex distance = sec 26° 34′ × 1.5 = 1.677 in. Angle increment: tan = sin 26° 34′ ÷ 6, giving 4° 16′. Set the dividing head to the cutting angle 26° 34′ − 4° 16′ = 22° 18′ and index 12 spaces. Depth at the large end 0.270 in.

Ibikoresho bikenewe:

Imashini ibaza icyumaImashini ibaza icyuma
Umutwe wo KugabanyaUmutwe wo Kugabanya
Icyuma gikata ingeri zihengamyeIcyuma gikata ingeri zihengamye
4

Set over and cut one side

Apex distance ÷ face = 3.35; we take the nearest column, 3¼, where a No. 8 cutter has the factor .286. Set-over = Tc ÷ 2 − .286 ÷ 8 = Tc ÷ 2 − 0.036 in. Set off centre by that amount, take up backlash, and cut round all 12 spaces.

Ibikoresho bikenewe:

Imashini ibaza icyumaImashini ibaza icyuma
Umutwe wo KugabanyaUmutwe wo Kugabanya
Icyuma gikata ingeri zihengamyeIcyuma gikata ingeri zihengamye
5

Set over the other way and trim

Set over the same amount the other side, line the cutter up with the space at the small end, take a trial cut, and rotate toward the cutter until the tooth is 0.196 in thick at the large end and 0.138 in at the small end. Check with the gear tooth vernier, then cut round.

Ibikoresho bikenewe:

Imashini ibaza icyumaImashini ibaza icyuma
Umutwe wo KugabanyaUmutwe wo Kugabanya
Icyuma gikata ingeri zihengamyeIcyuma gikata ingeri zihengamye
Kalipa ya verinie y’amenyo y’ingeriKalipa ya verinie y’amenyo y’ingeri
6

File the small ends

File the teeth rounder at the small ends, where the cutter could not, without filing them thinner at the pitch line. The cutting angle is under 30°, so the spaces may come out narrower at the face than the cutter suggests; Brown & Sharpe's own shop used a No. 6 cutter here instead.

Ibikoresho bikenewe:

Ikariso rifite amenyo matoIkariso rifite amenyo mato

Ibikoresho

1

Ibikoresho bikenewe

9

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