﻿Stresses in a Circular Ri»(/. 1015 



fig. 1 will be obtained by summing the stresses corresponding 

 to figs. 2 and 3. 



Fig. 1. Fig. 2. 



Fig-. 3. 



Fi"". 4 shows the normal stresses on the vertical and 

 horizontal cross-sections of a ring when R = 2r calculated by 

 the above method. The dotted lines on the same figure 

 represent the results of elementary solutions obtained by 

 using (1) the hypothesis of plane cross-sections or (2) the 

 hypothesis of plane distribution of normal stresses. 



The stress-distribution in a compressed disk (fig. 2) is 

 obtained by superposing a tension * 



S ^ 



* We suppose the thickness of the ring equal to unity. 



