loo AN ANAIvYSIS OF TESTS OF WATER-TIGHT BUI.KHEADS. 



:i :; ;: APPENDIX. 



Notation. 



w =The load on the stiffener. For salt water and for a span of s feet: 



w = 64,s lbs. = — tons per foot run and per foot head. 

 35 

 h = Head of water at top of stiffener. 

 C = Length of stiffener. 

 p = Pressure per unit length of the stiffener at any point, distant x from 



the top : p — w Qi + x). 

 Pa == Horizontal component of the supporting forces at the top of the 



stiffener, A. 

 Pb = Horizontal component of the supporting forces at the bottom of the 



stiffener, B. 

 Mx = Bending moment at any point at a distance x from the origin. 

 T = Tension in stiffener. ■ \ 



A = Sectional area of stiffener. 

 I = Moment of inertia of stiffener. 

 E = Modulus of elasticity. 



F0RMU1.AS FOR THE Case; where the Level of the Water is Below 



THE Top of the Stiffener. 



I. STIFFENER FREELY SUPPORTED AT THE ENDS. 

 FIK. 6. 



Let the water level be at a distance AF = h below the top of the stif- 

 fener, and let us deal first with the lower portion of the stiffener FB. 



Take origin at A and consider a point Q, distant x from A and x—h 

 below F. Taking moments about Q — 



