104 AN ANALYSIS OF TESTS OF WATER-TIGHT BUIvKHEADS. 



.dy_ p (p^^^^X 

 ' ' dx 24.EI\ J 



The equation for elongation is:^ 



AE 



= fh\dx= ^ 



-iydxj losX sieE'P 



from which — 



° I05X576SP ^^ 



From (i) — 



384^/ 

 From (2) and (3) — 



(3) 



Second Case — Elastic Stiff ener. Ends hinged {ctirve i, fig. 7). 

 The equation to the curve of deflection is liere — 



and proceeding as in first case, the elongation furnishes a value for the 

 tension : — 



" 17 ApH^ (6) 



' 128X315EP 



8 = ^SP]L (7) 



384^/ 



From (6) and (7)- 



^-^'f---«^4 (8) 



