Applied Mechanics: An Elementary General Introduction to the Theory of ...

Cover Applied Mechanics: An Elementary General Introduction to the Theory of ...
Applied Mechanics: An Elementary General Introduction to the Theory of ...
James H James Henry Cotterill
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420 STIFFNESS AND STRENGTH. [partit.
Verification of Preceding Solution. — The imdial straiA {ei) and the hoop strain (e^tn given by the above equations in terms of the stress. Now these changes of d im f ni in n are not independent, but are connected by a certain geometrical relation which it ii neoessary to examine in order to see whether it is satisfied by the values we have fonsd.
Returning to the diagram, suppose the internal radius of the elementary ring rein- sented there to increase fro
...m r to s, and the external radius from r* to j' ; then 2ir«=2irr(l+e,), .-. .'-s=(/-r)(l + «,) + r7^^; or, since the thickness of the ring changes from I to (l + fi)

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