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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 and justifications for the lever lengths in an agreed brake system servo.

Identifier  WestWitteringFiles\L\Jan1924-March1924\  Scan126
Date  27th March 1924
  
TO R.{Sir Henry Royce} FROM DA.{Bernard Day - Chassis Design}
ORIGINAL
SECRET
DA{Bernard Day - Chassis Design}1/M27.3.24.
Copy to - HS.{Lord Ernest Hives - Chair}
" HY.{Tom Haldenby - Plant Engineer}
" PM.
E.{Mr Elliott - Chief Engineer} A.{Mr Adams} C.
49940
AGREED & RRM. BRAKE SYSTEM.
Referring to your remarks re. the length of pressure screw operating levers on N.scheme 1769, and on the agreed scheme which was on a car which came to le CanadelHenry Royce's French residence, the following were the reasons which caused us to adopt these lever lengths.
(1) In your R5/M171223, there are given us instructions as to the working of the slow speed servo, viz:-
750 lbs. ins. of work from pedal:(for 150lbs foot pressure.)
1500 " " " servo.
-------
Total 2250 " " " altogether.
Length of servo lever to be 4".
Length of lever on pressure screw to be 2".
Servo lever to go through 60°.
Pressure screw lever through 75°.
In laying out the agreed scheme we closely followed these instructions except that the servo lever was made 4.2" long to give us a little clearance we wanted, and we found it very difficult to get the pressure screw lever to go through more than 70° because we could not get more than 2.2" linear motion off the pedal lever. But we thought this 10° would be enough to close the servo, and we might still count on the servo lever going through 60°.
Then the following figures followed:-
Pull from pedal 380 lbs.
Torque on pressure screw 380 X 2 = 760 lbs. ins.
Load in plane of screw 760 / .55 = 1380 lbs.
Taking 55° angle of thread (perpendicular to axis) and an efficiency of 82% -
End thrust = 1380 X Tan 35 X 82 / 100 = 793 lbs.
Servo work = servo torque = 1500 lbs. ins.
M.R. = 2.9".
μ = .35
End thrust required - 1500 / (2.9 X 2 X .35) = 740 lbs.
(1)
  
  


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