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User:Juspar/gearboxes

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Overview

The theory on gearboxes and how to design them was all well and good. Here's how I applied it.

My early builds are 2 output, I know I should be making 3 output just to make them more versatile. These aren't recommendations either, just records. I can already see that my first designs were not well optimised and I've only just begun.

Basic principles

  • use the ratio with the least gears to achieve the output
  • avoid large gears, they are way too expensive
  • have three outputs where the constraints (30 gears, 15 shafts) allow, and it's not too expensive

Builds

B154-185; G346-370

Ratios

B159-185 G346-370
(5/3)*(5/3)*(4/7) (6/5/3)*(6/5)*(6/5)*(6/5)
(6/5/3)*(4/7/5) (5/3)*(5/3)*(5/7/4)
(5/3)*(5/3)*(5/6)*(5/6) (6/5/3)*(7/4)
(5/3) (5/3)*(5/3)*(4/7/5/3)
(6/5)*(7/5) (5/3)*(5*3)*(5*3)*(5/6)
(6/5)*(6/5)*(6/5)
(5/3)*(5/6)*(5/7/4)
(7/4)
(5/3)*(5/6)*(4/7/5/3)

I built this using the bold ratios, after I'd done a few and built a plan I looked back - clearly the italics would have been a better place to start.


Build

A B C D E F G H
8 116 4
7 4
6 165 65 4
5 4
4 513
3 135 7
2 45
1 4

Output

B161; G347;

Cost

  • 8 Small
  • 8 Medium
  • 1 Large

D83-96; G288-292

Ratios

D83-96 G288-292
(5/6) (6/5/3)*(6/5)*(6/5)
(3/5)*(7/5) (5/3)*(7/4)
(3/5)*(6/5)*(6/5)
(3/5/6)*(7/4)
(6/5)*(3/5/7/4)
(5/3)*(5/6)*(5/6)*(5/6)

I looked at hte Itallic ratios first, then settled on the bold ones. Still not happy about using a large gear.


Build

A B C D E F G H
8 5 5
7
6 615 615
5
4 156 136
3 43 15
2 44
1 4 34 3 3 36

Output

D86; G288;

Cost

  • 11 Small
  • 11 Medium
  • 0 Large

A127-145; E465-530

Ratios

A127-145 E465-530
(5/3)*(5/6) (7/5/3)*(6/5/3)
(6/5)*(6/5) (6/5/3)*(6/5/3)*(6/5)
(5/3)*(5/3)*(7/4)

Build

A B C D E F G H
8 3 3 3
7 3 315
6 3
5 35 316
4 3 3 36 55
3 56
2
1 6

Output

A144; E480; F480

Cost

  • 11 Small
  • 9 Medium
  • 0 Large


C13-15; G302-350

Ratios

C13-15 G302-350
(3/5)*(3/5)*(3/5)*(3/5) (5/3)*(5/3)*(5/3)*(5/6)*(5/6)
(3/5)*(3/5/6)*(3/5/6) (5/3)*(6/5/3)
(6/5/3)*(6/5)*(6/5)*(6/5)

Build

A B C D E F G H
8 5 113
7 315 115
6 153
5 53 135
4 3 3 3 3 35
3 34
2 14
1 14

Output

C13; G333

Cost

  • 14 Small
  • 7 Medium
  • 0 Large


A75-93; G455-514

Ratios

A75-93 G455-514
(3/5/7/4) (5/3)*(5/3)*(5/3)
(3/5)*(3/5)*(6/5)*(4/7) (7/5/3)*(6/5/3)
(5/3)*(5/6)*(4/7) (6/5/3)*)6/5/3)*(6/5)
(4/7/5) (5/3)*(5/3)*(7/4)
(6/5)*(6/5)*(4/7)
(5/6)
(3/5)*(7/5)
(3/5)*(6/5)*(6/5)
(3/5/6)*(7/4)
(6/5)*(3/5/7/4)

Build

A B C D E F G H
8 16 3 3
7 35 53
6 3 153
5 3 3 3 315
4 3
3 3
2 3
1 3

Output

A83; E463; G463

Cost

  • 13 Small
  • 5 Medium
  • 0 Large


B264-434; B94-114; G329-395

Ratios

B264-434 D94-114 G329-395
(5/3)*(5/3) (5/3)*(5/6)*(5/6)*(5/6) (5/3)*(6/5/3)
(6/5/3)*(6/5)*(6/5) (3/5)*(6/5)*(6/5)*(6/5) (6/5/3)*(6/5)*(6/5)*(6/5)
(6/5/3)*(7/4) (6/5/3)*(4/7) (6/5/3)*(7/4)
(5/3)*(6/5/3) (5/3)*(5/3)*(5/3)*(5/6)
(5/3)*(5/3)*(5/3)*(5/6)
(6/5/3)*(6/5/3)

There were LOTS of options here, these were the ones I picked out to try and fit together. They weren't all first picks. In the end I had to use some large gears because

  • I was running into shaft/gear limitations
  • The B and G outputs were in the same range - but I needed some way to cross the D train

Build

A B C D E F G H
8 114 6 3
7 154 16 35
6 114 5
5
4 347 67
3 5
2
1 6

Output B350; D114; G350

Cost

  • 7 Small
  • 8 Medium
  • 2 Large


B264-343; B94-114; G329-395

Ratios

B264-343 D94-114 G329-395
(5/3)*(5/3)*(5/3)*(4/7) (5/3)*(4/7) (5/3)*(5/3)*(5/3)*(5/7)
(6/5/3)*(4/7/5/3) (5/3)*(5/6)*(5/6)*(5/6) (5/3)*(6/5/3)
(5/3)*(5/3)*(5/3)*(5/6)*(5/6)*(5/6) (5/3)*(5/6)*(5/7) (6/5/3)*(6/5)*(6/5)*(6/5)
(5/3)*(5/3) (3/5)*(6/5)*(7/5) (5/3)*(5/3)*(5/7/4)
(6/5/3)*(7/5) (3/5)*(6/5)*(6/5)*(6/5) (6/5/3)*(7/4)
(6/5/3)*(6/5)*(6/5) (3/5)*(7/4) (5/3)*(5/3)*(4/7/5/3)
(5/3)*(7/4) (5/6)*(4/7/5/3) (5/3)*(5/3)*(5/3)*(5/6)
(5/3)*(5/3)*(6/5/3)*(4/7) (6/5/3)*(4/7) (7/5/3)*(5/3)
(5/3)*(5/3)*(5/3)*(5/6)*(5/6)
(5/3)*(5/3)*(5/3)*(5/7)
(5/3)*(6/5/3)


Build

A B C D E F G H
8 116 5 3
7 3
6 136 6 56
5 15
4 57 16
3
2 34 3 36
1 6 5

Output B267; D114; G333

Cost

  • 7 Small
  • 12 Medium
  • 1 Large

A299-368; D448-532; H445-561

Ratios

A299-368 D448-532 H445-561
(5/3)*(5/3)*(6/5/3)*(4/7) (5/3)*(5/3)*(5/3) (5/3)*(5/3)*(5/3)
(5/3)*()*(5/3)*(5/3)*(5/6)*(5/6) (7/5/3)*(6/5/6) (7/5/3)*(6/5/6)
(5/3)*(5/3)*(5/3)*(5/7) (6/5/3)*(6/5/3)*(6/5) (6/5/3)*(6/5/3)*(6/5)
(5/3)*(6/5/3) (5/3)*(5/3)*(7/4) (5/3)*(5/3)*(7/4)
(6/5/3)*(5/7/4)
(6/5/3)*(7/4)

Build

A B C D E F G H
8 3 14 14
7 3 14 14
6 316 615 14
5 14
4 543
3 135
2 35
1 5

Output

A322; D463; H463

Cost

  • 13 Small
  • 7 Medium
  • 0 Large

A318-401; E478-588; G369-499

Ratios

A318-401 E478-588 E369-499
(5/3) * (5/3) * (5/3) * (5/6) * (5/6) (6/5/3)*(6/5/3)*(6/5) (6/5/3)*(6/5/3)
(5/3) * (5/3) * (5/3) * (5/7) (5/3)*(5/3)*(7/4) (6/5/3)*(6/5/3)*(6/5)
(5/3) * (6/5/3) (5/3)*(5/3)*(5/3)*(5/3)*(5/3)*(5/6) (5/3)*(5/3)*(5/3)
(6/5/3) * (6/5) * (6/5) * (6/5) (5/3)*(5/3)*(6/5/3) (5/3)*(5/3)*(5/3)*(5/6)
(5/3) * (5/3) * (5/7/4) (6/5/3)*(6/5/3)*(6/5)*(6/5)
(6/5/3) * (7/4) (5/3)*(5/3)*(5/3)*(5/7/4)
(5/3) * (5/3) * (4/7/5/3) 5/3)*(6/5/3)*(7/4)
(5/3) * (5/3) * (5/3) * (5/6)
(7/5/3) * (5/3)
(6/5/3) * (6/5/3)

Build

A B C D E F G H
8 3 3 3
7 33 436 315 3 3
6 15
5
4 36
3 5
2
1 6

Output

A400; E480; E480

Cost

  • 10 Small
  • 6 Medium
  • 0 Large

B423-B541; E333-E430; G455-G569

Ratios

B423-B541 E333-E430 G455-G569
(5/3)*(5/3)*(5/3)*(5/3)*(4/7) (5/3)*(6/5/3) (5/3)*(5/3)*(5/3)
(5/3)*(6/5/3)*(4/7/5/3) (6/5/3)*(6/5)*(6/5)*(6/5) (7/5/3)*(6/5/3)
(5/3)*(5/3)*(5/3)*(5/3)*(5/6)*(5/6)*(5/6) (5/3)*(5/3)*(5/7/4) (6/5/3)*(6/5/3)*(6/5)
(5/3)*(5/3)*(5/3) (6/5/3)*(7/4) (5/3)*(5/3)*(7/4)
(7/5/3)*(6/5/3) (5/3)*(5/3)*(4/7/5/3) (5/3)*(5/3)*(5/3)*(5/3)*(5/6)*(5/6)
(6/5/3)*(6/5/3)*(6/5) (5/3)*(5/3)*(5/3)*(5/6) (5/3)*(5/3)*(6/5/3)
(5/3)*(5/3)*(7/4) (7/5/3)*(5/3)
(5/3)*(5/3)*(5/3)*(5/3)*(5/6)*(5/6) (6/5/3)*(6/5/3)
(5/3)*(5/3)*(5/6)*(7/4)
(6/5/3)*(6/5)*(6/5)*(6/5)*(6/5)
(5/3)*(6/5/3)*(5/7/4)
(6/5/3)*(6/5)*(7/4)

Build

A B C D E F G H
8 4 3 3
7 45 36 35
6 3
5 33
4 36 15
3 5
2
1 6

Output

B480; E400; G480

Cost

  • 10 Small
  • 7 Medium
  • 0 Large

A159-192; E195-250; H405-518

Ratios

A159-192 E195-250 H405-518
(5/3)*(5/3)*(4/7) (5/3)*(5/3)*(5/7) (5/3)*(5/3)*(5/6)*(7/4)
(6/5/3)*(4/7/5) (6/5/3) (6/5/3)*(6/5)*(6/5)*(6/5)*(6/5)
(5/3)*(5/3)*(5/6)*(5/6)*(5/6) (6/5)*(6/5)*(6/5)*(6/5)
(5/3) (5/3)*(5/7/4) (5/3)*(6/5/3)*(5/7/4)
(6/5)*(7/5) (6/5)*(7/4) (6/5/3)*(6/5)*(7/4)
(6/5)*(6/5)*(6/5) (5/3)*(4/7/5/3) (5/3)*(5/3)*(5/3)*(5/3)*(4/7)
(5/3)*(5/6)*(5/7/4) (6/5/3)*(6/5/3)*(4/7) (5/3)*(6/5/3)*(4/7/5/3)
(7/4) (5/3)*(5/3)*(5/6) (5/3)*(5/3)*(5/3)*(5/3)*(5/6)*(5/6)*(5/6)
(5/3)*(5/6)*(4/7/5/3) (7/5/3) (5/3)*(5/3)*(5/3)
(5/3)*(6/5/3)*(4/7) (5/3)*(6/5/3)*(5/7) (7/5/3)*(6/5/3)
(6/5/3)*(6/5) (6/5/3)*(6/5/3)*(6/5)
(5/3)*(5/6)*(7/4) (5/3)*(5/3)*(7/4)
(6/5)*(6/5)*(6/5)*(6/5)*(6/5)
(6/5/3)*(5/7/4)

Build

A B C D E F G H
8 15 16 4
7 43 113 413
6 4 455
5 4
4 45
3 13
2 35
1 5

Output

A167; E231; H463

Cost

  • 13 Small
  • 6 Medium
  • 0 Large

A153-199; D414-538; H30-36

Ratios

A153-199 D414-538 H30-36
(5/3)*(5/3)*(4/7) (6/5/3)*(6/5)*(6/5)*(6/5)*(6/5) (3/5)*(3/5/6)
(6/5/3)*(4/7/5) (5/3)*(6/5/3)*(5/7/4) (3/5)*(3/5)*(3/5)*(6/5)*(6/5)
(5/3)*(5/3)*(5/6)*(5/6)*(5/6) (6/5/3)*(6/5)*(7/4) (3/5)*(3/5)*(3/5/6)*(7/4)
(5/3) (5/3)*(5/3)*(5/3)*(5/3)*(4/7) (3/5)*(4/7)
(6/5)*(7/5) (5/3)*(6/5/3)*(4/7/5/3) (3/5/6)*(5/6)*(5/6)
(6/5)*(6/5)*(6/5) (5/3)*(5/3)*(5/3)*(5/3)*(5/6)*(5/6)*(5/6) (3/5)*(3/5)
(5/3)*(5/6)*(5/7/4) (5/3)*(5/3)*(5/3)
(7/4) (7/5/3)*(6/5/3)
(5/3)*(5/6)*(4/7/5/3) (6/5/3)*(6/5/3)*(6/5)
(5/3)*(6/5/3)*(4/7) (5/3)*(5/3)*(7/4)
(5/3)*(5/3)*(5/6)*(5/6) (5/3)*(5/3)*(5/3)*(5/3)*(5/6)*(5/6)
(7/5/3)*(5/6)
(5/3)*(5/3)*(5/7)


Build

A B C D E F G H
8 3 3 5
7 314 53 35
6 154 153 43
5 415
4 4
3 4
2 4
1 4

A output was stepped up half way through the D output's chain, then stepped down again. This design was by Al-Rischa and I am indebted to him and Justin for the time tey put into solving this one for QR Raeli Pottery.

Output

A167; D463; H36

Cost

  • 15 Small
  • 6 Medium
  • 0 Large

B425-519; E359-431; G441-556

Ratios

B425-519 E359-431 G441-556
(5/3)*(5/3)*(5/3)*(5/3)*(4/7) (5/3)*(5/3)*(4/7/5/3) (5/3)*(5/3)*(5/3)*(5/3)*(4/7)
(5/3)*(6/5/3)*(4/7/5/3) (5/3)*(5/3)*(5/3)*(5/6) (5/3)*(6/5/3)*(4/7/5/3)
(5/3)*(5/3)*(5/3)*(5/3)*(5/6)*(5/6)*(5/6) (7/5/3)*(5/3) (5/3)*(5/3)*(5/3)*(5/3)*(5/6)*(5/6)*(5/6)
(5/3)*(5/3)*(5/3) (6/5/3)*(6/5/3) (5/3)*(5/3)*(5/3)
(7/5/3)*(6/5/3) (5/3)*(5/3)*(5/6)*(7/4) (7/5/3)*(6/5/3)
(6/5/3)*(6/5/3)*(6/5) (6/5/3)*(6/5)*(6/5)*(6/5)*(6/5) (6/5/3)*(6/5/3)*(6/5)
(5/3)*(5/3)*(7/4) (5/3)*(6/5/3)*(5/7/4) (5/3)*(5/3)*(7/4)
(6/5/3)*(6/5)*(7/4) (5/3)*(5/3)*(5/3)*(5/3)*(5/6)*(5/6)
(5/3)*(5/3)*(6/5/3)

Build

A B C D E F G H
8 14 116 14
7 64 14
6 645
5
4 63
3 153
2 315
1 5

Output

B463; E386; G463

Cost

  • 8 Small
  • 8 Medium
  • 0 Large

A425-519; E359-431; G441-556

Ratios

A425-519 E359-431 G441-556
(5/3)*(5/3)*(5/3)*(5/3)*(4/7) (5/3)*(5/3)*(4/7/5/3) (5/3)*(5/3)*(5/3)*(5/3)*(4/7)
(5/3)*(6/5/3)*(4/7/5/3) (5/3)*(5/3)*(5/3)*(5/6) (5/3)*(6/5/3)*(4/7/5/3)
(5/3)*(5/3)*(5/3)*(5/3)*(5/6)*(5/6)*(5/6) (7/5/3)*(5/3) (5/3)*(5/3)*(5/3)*(5/3)*(5/6)*(5/6)*(5/6)
(5/3)*(5/3)*(5/3) (6/5/3)*(6/5/3) (5/3)*(5/3)*(5/3)
(7/5/3)*(6/5/3) (5/3)*(5/3)*(5/6)*(7/4) (7/5/3)*(6/5/3)
(6/5/3)*(6/5/3)*(6/5) (6/5/3)*(6/5)*(6/5)*(6/5)*(6/5) (6/5/3)*(6/5/3)*(6/5)
(5/3)*(5/3)*(7/4) (5/3)*(6/5/3)*(5/7/4) (5/3)*(5/3)*(7/4)
(6/5/3)*(6/5)*(7/4) (5/3)*(5/3)*(5/3)*(5/3)*(5/6)*(5/6)
(5/3)*(5/3)*(6/5/3)

Build

A B C D E F G H
8 6 116 14
7 6 14
6 645
5
4 63
3 153
2 315
1 5

Output

A463; E386; G463

Cost

  • 6 Small
  • 9 Medium
  • 0 Large

Template

Ratios

Range 1 Range 2
( / )*( / ) ( / )*( / )

Build

A B C D E F G H
8
7
6
5
4
3
2
1

Output

;

Cost

  • Small
  • Medium
  • Large
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