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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).
Analysis of stress, force, and torque diagrams for a shaft operating beyond its elastic limit.

Identifier  ExFiles\Box 170\3\  img005
Date  4th December 1935 guessed
  
(Sheet 3)

Beyond the elastic limit we have to assume:-

a stress diagram like "A", corresponding to a force diagram like "B" and a torque diagram like "C".

When the shaft is released it goes back elastically so that each layer loses stress proportionate to its distance from centre.

So we have a stress diagram after release like "A" and a torque diagram like "C", in which the areas above and below the horizontal are equal.

(7) The mathematics of the thing appear to be -

If f m = stress at elastic limit
f o = theoretical max stress
assuming elastic deformation -
T = torque.
  
  


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