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From the Rolls-Royce experimental archive: a quarter of a million communications from Rolls-Royce, 1906 to 1960's. Documents from the Sir Henry Royce Memorial Foundation (SHRMF).
Calculations on crankshaft stiffness, inertia, and frequency related to increasing pin diameter.

Identifier  ExFiles\Box 6\1\  01-page141
Date  1st December 1927
  
X5010
Hs{Lord Ernest Hives - Chair}/Rm{William Robotham - Chief Engineer}/LGS.12.27.

CRANKSHAFT STIFFNESS.

With reference to R1/M23.11.27. In an endeavour to obtain a value for increasing the dia. of the 20 HP. pins on the shaft period, we made the following approximation.

Total effective inertia concentrated at shaft end is :-

Spring drive hub....... .00582
Big ends total......... .00266
Half pistons........... .00187
Crankshaft............. .00561
-------
.01596

Of this the big end contribution is .00266 or 16.8%, the piston pins .0013 or 8.4%.

Now if we increase the pin dia. from 1.5" to 2" and increase the hole in the pins from .75" to 1.00". From the tests given in Hs{Lord Ernest Hives - Chair}/Rm{William Robotham - Chief Engineer}/LGS.12.27 we expect to increase the shaft stiffness by 40% and this alteration, by reference to all the big ends dimensions we already have, will alter the inertia as follows :-

WEIGHT
| | 1.5" dia.pins. | 2.0" dia.pins. |
|-----------------|----------------|----------------|
| Big end. | 1.187 | 1.900 |
| Shaft pins. | .56 | 1.02 |
| | ------- | ------- |
| | 1.747 | 2.92 |

or 70% total increase on pin and big end.

This increase the total inertia of the crankshaft system by 70% of 25.2% or 17.5%.

Old shaft frequency = 1/2π √(29900 / .01596) = 193 osc/sec.

New shaft frequency = 1/2π √(41860 / .0237) =
1/2π √(1770,000) =
1330 / 2π = 212 osc/sec.

or an increase of 10%.
  
  


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