Rolls-Royce Archives
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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).
Calculation sheet for a long low rate spring, designated Z.

Identifier  ExFiles\Box 52\1\  Scan187
Date  31th January 1929 guessed
  
-1-

LONG LOW RATE SPRING Z.

Maximum load = 8.25 lbw.
Initial load = 6.00 lbw.
Working compression = .700 inches.

Rate = (2.25 / .700) = 3.21 lbw/inch (R)

Compressed length = 4.000" (L')
Initial length = 4.700"
Free length = 6.570" (L)

δ = 2.570"

Suppose D = .275 + .048 = .323"

Then d = ⁵√((8 x (.323)³ x 3.21 x 4000) / (12 x 10⁶))
= 1/10 ⁵√((8 x (.323)³ x 3.21) / 3)
= 1/10 ⁵√.0285
= .049

n = (12 x 10⁶ x (.048)⁴) / (8 x (.323)³ x 3.21) = 73.8 say 74

f = (12 x 10⁶ x .048 x 2.570) / (π x (.323)² x 74) = 60800 lbs/sq.in.

(n+d)d = 3.600"

___
EFC. {E. Fowler Clarke - Electrical Engineer}
  
  


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