The formula to calculate Overall Efficiency from Shaft A to X (ηx) is:
\[ η_x = η^m \]
Where:
Overall efficiency from shaft A to X, of a gearbox, depends mainly on the gear mesh and bearings efficiency.
Gear Efficiency is simply the ratio of output shaft power to the input shaft power.
Total no. of gear pairs, have m gear pairs each pair of teeth first make contact at a single point at one side of the gear wheel; a moving curve of contact then grows gradually.
Let's assume the following values:
Using the formula:
\[ η_x = η^m \]
Evaluating:
\[ η_x = 0.82^{17} \]
The Overall Efficiency from Shaft A to X is 0.0342637971701861.
| Gear Efficiency (η) | Total no. of Gear Pairs (m) | Overall Efficiency (ηx) |
|---|---|---|
| 0.8 | 15 | 0.035184372088832 |
| 0.8 | 16 | 0.028147497671066 |
| 0.8 | 17 | 0.022517998136853 |
| 0.8 | 18 | 0.018014398509482 |
| 0.8 | 19 | 0.014411518807586 |
| 0.8 | 20 | 0.011529215046069 |
| 0.81 | 15 | 0.042391158275216 |
| 0.81 | 16 | 0.034336838202925 |
| 0.81 | 17 | 0.027812838944369 |
| 0.81 | 18 | 0.022528399544939 |
| 0.81 | 19 | 0.018248003631401 |
| 0.81 | 20 | 0.014780882941435 |
| 0.82 | 15 | 0.050957461585643 |
| 0.82 | 16 | 0.041785118500227 |
| 0.82 | 17 | 0.034263797170186 |
| 0.82 | 18 | 0.028096313679553 |
| 0.82 | 19 | 0.023038977217233 |
| 0.82 | 20 | 0.018891961318131 |
| 0.83 | 15 | 0.061118316854866 |
| 0.83 | 16 | 0.050728202989539 |
| 0.83 | 17 | 0.042104408481317 |
| 0.83 | 18 | 0.034946659039493 |
| 0.83 | 19 | 0.029005727002779 |
| 0.83 | 20 | 0.024074753412307 |
| 0.84 | 15 | 0.073145782610368 |
| 0.84 | 16 | 0.061442457392709 |
| 0.84 | 17 | 0.051611664209876 |
| 0.84 | 18 | 0.043353797936295 |
| 0.84 | 19 | 0.036417190266488 |
| 0.84 | 20 | 0.030590439823850 |
| 0.85 | 15 | 0.087354219101252 |
| 0.85 | 16 | 0.074251086236064 |
| 0.85 | 17 | 0.063113423300655 |
| 0.85 | 18 | 0.053646409805556 |
| 0.85 | 19 | 0.045599448334723 |
| 0.85 | 20 | 0.038759531084514 |
| 0.86 | 15 | 0.104106241746468 |
| 0.86 | 16 | 0.089531367901962 |
| 0.86 | 17 | 0.076996976395688 |
| 0.86 | 18 | 0.066217399700291 |
| 0.86 | 19 | 0.056946963742251 |
| 0.86 | 20 | 0.048974388818335 |
| 0.87 | 15 | 0.123819426824733 |
| 0.87 | 16 | 0.107722901337518 |
| 0.87 | 17 | 0.093718924163641 |
| 0.87 | 18 | 0.081535464022367 |
| 0.87 | 19 | 0.070935853699460 |
| 0.87 | 20 | 0.061714192718530 |
| 0.88 | 15 | 0.146973853900113 |
| 0.88 | 16 | 0.129336991432099 |
| 0.88 | 17 | 0.113816552460247 |
| 0.88 | 18 | 0.100158566165018 |
| 0.88 | 19 | 0.088139538225216 |
| 0.88 | 20 | 0.077562793638190 |
| 0.89 | 15 | 0.174120577811000 |
| 0.89 | 16 | 0.154967314251790 |
| 0.89 | 17 | 0.137920909684093 |
| 0.89 | 18 | 0.122749609618843 |
| 0.89 | 19 | 0.109247152560770 |
| 0.89 | 20 | 0.097229965779085 |