Il6 TOWERS AND TANKS fOR WATER-WORKS. 



The component /' together with the similar components 

 acting on the elements between h and / produce tension on the 

 horizontal joint through e, the amount of which has already been 

 determined. 



Stresses in the Segment of a Sphere. The stress on a cir- 

 cumferential joint of the segment of a sphere is determined by 

 analysis similar to that used for the cone (Fig. 23). The tension 

 on one lineal inch of the joint ee is 



W esc a/ 



27tb 2 



in which W is the weight supported by the segment e)e, and b 2 

 is the radius of the section. Let r 2 be the radius of the sphere, 

 then 



b 2 = r 2 sin a/, 

 and 



IF csc 2 a/ 



27ZT 2 



The tension per lineal inch on any meridian, or radial, joint 

 of a sphere subjected to an internal normal pressure of p pounds 



per square inch is T= -. From this it is inferred that the 

 tension per lineal inch at any point e of a radial joint of a seg- 

 mental bottom is T= -, p being the normal pressure per square 

 inch at e* 



Jw 



When the bottom is a hemisphere r 2 = r, then T= . 



The value of T varies with the pressure, p, and hence is a 

 maximum at the bottom of the segment. 



* See ''Stresses in Tank Bottoms," by Professor Arthur N. Talbot, The Tech- 

 nograph, No. 16, page 138. 



