96 Mr. C. Chree on Rotating Elastic 



Table XI.— -Values of X and 6 2 . 



b/a. 



v = -2. 



•25. 



•3. 



•5. 



,{ 



1° 5' 

 64° 50' 



1° 12' 

 62° 14' 



1° 19|' 

 59° 58' 



1° 44' 

 53° V 



,{ 



5° r 



60° 48' 



5° 47' 

 57° 39' 



6° 25' 

 54° 52' 



8° 48' 

 45° 56' 



H 



9° 23' 

 56° 31' 



10° 49' 



52° 37' 



12° 14' 

 49° 3' 



19° 28' 

 35° 16' 



H 



18° 2' 

 47° 52' 



22° 39 ' 



40° 47'- 











The two blanks in the last line signify that the curve has 

 ceased to cross the rim before b/a is as large as *6. A simple 

 test of the accuracy of this table is supplied by means of the 

 relation (63), employing the values of © in Table X. 



From Table XI. we see that for a given value of b/a the 

 portions of the disk's rim which lie within the areas of radial 

 compression at the ends of both the major and minor axes 

 increase with rj. 



§ 29. While the data in the previous tables give a general 

 idea of the nature of the curves of no radial strain, it seems 

 desirable to possess more exact information for some one 

 value of 77. This is supplied for 77 = *25 in Table XII., which 

 gives the ratio of r 2 , the radius of the curve of no radial 

 strain, to r the radius of the rim for the assigned values of 6. 



Table XII. — Values of r 2 /r. 



b/a. 



e= 0. 



15°. 



30°. 



45°. 



60°. 



75°. 



90°. 



•4 



•984 



1072 



1-189 



1-180 



•939 



— 



— 



•5 



•978 



1-017 



1-071 



1-054 



•908 



•561 







•6 



•972 



•987 



1008 



•989 



•902 



•749 



•650 



•8 



•956 



•956 



•953 



•940 



•914 



•885 



•872 



The results, except for b/a = '5 with = 90°, are approximate. 

 The blanks in the first line signify that the curve of no radial 

 strain has reached the centre of the disk ere attains to 75°. 



