Mechanical and marine engineering science ... Specially written as a handbook to the Board of Trade examinations for extra-first-class engineers (1909)
Somerscales, A. N · Glasgow : J. Munro; London, Simpkin, Marshall, Hamilton, Kent · leaf 363
trength of portion removed = D The strength,of the hollow shaft isnow , , ^,f STD^ - Sd* SB^ _ ^S d^ Si 5i D X 5-1 ^ S (D^ - d*)S-i X D which is the correct rule for a hollow shaft. 2nd proof—by the calculus:—figure 136. Consider an indefinitelynarrow ring, as in diagram, whoseradius is x. The… … !Fig. 136. (: moment = (2^:77 x dx) x - S x x = ^^Sy^^^^ R R We have now to integrate this expression. f 27r S X^ , 2 IT S X^ X ax = R 4R which when .«; = R becomes ———,— and writing- — for R 4 2 moment of resistance = 2 7rSD» IT D» S 4x8 16 as before. ( > Noie.^By integrating between the limits…
Naval architecture
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