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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).
Page of calculations for spring properties including stress, energy, and modulus of resilience, with a worked example.

Identifier  ExFiles\Box 158\4\  scan0048
Date  12th June 1936 guessed
  
-9-

(S² / 2G) K

G = 11,500,000
S = Stress in lbs/sq.in.

The modulus of resilience for springs with
wire in torsion is:
(S² / 2E) K

E = 30,000,000
S = Stress in lbs/sq.in.

Total energy in spring = (load x deflection) / 2

Approximate ratio of inch lbs. per pound of
steel to inch lbs. per cubic inch of steel is 3.52
x inch lbs. per cubic inch of steel equals inch
lbs. per pound of steel.

As an application of this method the following
problems can be considered. Desired weight per
thousand springs on extension springs with initial
tension 10 lbs. and elongation of 2 inches giving
30 lbs. maximum load. Allowed stress 100,000 lbs/sq.
in., material music wire.

Solution:

If the spring carries 30 lbs load and has a rate
of 10 lbs/ per inch, we have an equivalent elongation
of 3 inches.

Energy content = (30 x 3) / 2 = 45 lbs. per spring.

Modulus of Resilience = (100,000 x 100,000 x ½) / (2 x 11,500,000)

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