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Mathematical calculations for deflection, comparing Packard and Bentley III models, and analyzing the B.III Yoke.


Identifier  ExFiles\Box 127\1\  scan0371
Date  27th May 1938
  
-5-

Rm {William Robotham - Chief Engineer} /AFM. {Anthony F. Martindale} 6/WH.27.5.38.

EIyB" = -133 (10 - a)³
= -133 (1000 - 300a + 30a² - a³)
= -133,000 + 40,000a - 4,000a² + 133a³

yB = 1/E.I. (-133,000 + 40,000a - 4,000a² + 133a³)

Total Deflexion =
1/E.I. (-133,000 + 145,000a - 12,250a² + 167a³)

Comparison of Packard and Bentley III.

Packard. If a = 3.62, numerator = 239,500
B.III. If a = 7.15, " = 338,000

Deflexion B.III/Packard = 141%

Actual Deflexion of B.III Yoke.

I = (π x D⁴) / 64
D varies between 1.25 and 1.50
Take D = 1.35

I = (π x 3.32) / 64 = .163

E = 30 x 10⁶
a = 7.15
Total yB = (-133,000 + 1,035,000 - 625,000 + 61,000) / (.163 x 30 x 10⁶)

= 338,000 / (4.9 x 10⁶) = .069"

Rm {William Robotham - Chief Engineer} /AFM. {Anthony F. Martindale}
  
  
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).


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