Vibrations of a Hod of Varying Cross-Section. 



Third Mode (^ = 47'576). 

 tt = O{1921-14^ o (a?)+-00379782^,(a?)}. 



99 





X. 



zjl. 



Nodes 



3-67067 

 12-30104 

 26-00530 

 41-71807 



•077154 



•258555 

 •546606 



•876873 





6-59346 

 17-72714 

 33-25672 



•138588 

 •372606 

 •699023 



Inflexions . 



1017758 

 23-76647 



•213923 



•499548 



See fig. 6. 



Fig. 6. 



Fourth Mode (^ = 72*294). 

 «= (J{'29003-l^oM - -0021S216(j) (x)}, 



1 



X. 



z/l. 



Nodes 



367059 

 12-30482 

 25-87013 

 44-46248 



•050773 

 •170205 

 •357846 

 •615023 





659377 

 17-71200 

 33-77604 

 54-03317 



•091208 

 •245000 

 •467203 

 •747409 



Inflexions . 



10-17658 

 23-82147 

 42-27130 



•140767 

 •329509 

 •584714 



See fig. 7 (p. 100) 



H2 



