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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 a diagram analyzing the effect of thread angle on friction and mechanical efficiency.

Identifier  ExFiles\Box 67\4\  scan0330
Date  13th July 1927 guessed
  
contd :- -4-

Θ+Y = 18° 28' { Y = 6° 23', μ = .1119.

η = tan Θ / tan (Θ+Y) = .2141 / .334 = 64.15%

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(2) corresponds to road 'joggle'.

T = Fw r = Fn r tan (Θ-Y)

tan (Θ-Y) = (11 X 20) / (.7 X 3250) = 220 / 2275 = .0968.

Θ-Y = 5° 32' { Y = 6° 23', μ = .1148

η = tan (Θ-Y) / tan Θ = .0968 / .2141 = 45.2%

EFFECT OF THREAD ANGLE.

P = pressure/sq. in. with 'Acme' thread.
p = pres/sq. in. with similar square THREAD taking same weight.

P cos Φ = p

Friction in first case = μ P.A.
and in second case = μ p.a.

a/A = cos Φ .. a = A cos Φ
also P = p sec Φ

∴ F1 / F2 = (μ P. A.{Mr Adams}) / (μ p. a.{Mr Adams}) = sec² Φ .

WHEN Φ = 14½° , F1 / F2 = 1.0329² = 1.067.

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Hs{Lord Ernest Hives - Chair}/TSN.
  
  


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