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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).
Technical data sheet defining the variables and formulas for spiral springs.

Identifier  ExFiles\Box 52\1\  Scan180
Date  31th January 1929
  
X4490. 31.1.29.

SPIRAL SPRINGS.

Diameter of wire = d (")
" " coil = D (")

Number of effective turns = n
Length " " " = l (")

Whole length of spring = L (")

Fully compressed length
of spring = L' (")

Modulus of shear = C (lbw/sq.")

Maximum { Load on spring = W (lbw)
{ Deflection of spring = δ (inches)
{ Stress on material = f (lbs/sq.")

Then l∅ = (d {John DeLooze - Company Secretary} /2) θ

where ∅ = f {Mr Friese} /C and θ = δ / (D {John DeLooze - Company Secretary} /2)

so that since l = π D n

(π D n f) / C = (d δ) / D

i.e. δ = (π D² n f) / (d C)

or f = (C d δ) / (π D² n)
  
  


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