AN ANALYSIS OF TESTS OF WATER-TIGHT BUIvKHEADS. 103 



Ely=\M^x^—^-\--^ '- (23) 



6 120 



60 L / r J 



F0RMUI.AS FOR Teinsion and binding Combined. '"■ 



[Supplement to Appendix IIB, page 427 of the Transactions, 1909.] 



(a) DETERMINATION 01^ THE TENSION, T. 



Let us suppose that we know the maximum deflection of a stifTener 

 either from a test of the bulkhead or from calculation under the assumption 

 of simple bending. If, now, we knew the formula for the true curve of 

 deflection, we could determine the tension corresponding to the elongation 

 of the stiff ener, assuming of course that the supports are absolutely fixed. 



Since we do not know the actual curve of deflection, it is proposed to 

 use in its stead the curve for pure bending with same maximum deflection. 



In order to show that it is permissible to use this approximation, we 

 shall first determine the relation between T and the maximum deflection, 

 8, when a stiffener is under a uniform load, p, per unit length. 



First Case— Elastic Stiffener. Ends fixed {curve o, fig. 7) . 



n&. 7. 



CURVtS OF DEFLECTIONS. 

 A 

 i 



Taking origin at O, the middle of the stiffener in its deflected position, 

 the equation to the curve of deflection is — 



y 



_ P 



Px" 



24E/V 2 



(?-) 



(I) 



