1G8 
M?.. L. X. f4. FILOX OX THE ELASTIC EQUILIBRIUM OF 
51 
iC 
(hi 
0 
- - .3.51.30 
- -01184 
1 
- -04818 
- - 05960 
2 
+ -00838 
+-01431 
0 
+ -00217 
+ -00436 
4 
- -00061 
- -00135 
5 
- -00011 
- -00025 
G 
- -00006 
- -00015 
7 
- -00010 
- -00026 
S 
+ -00008 
+ -00024 
9 
+ -00006 
+ -00018 
from wliich the values of 22 .', (f)(f) can be found when r = a. They are taljulated, 
with the otlier stresses, upon p. 171. 
§ 9. Calculation of the Displacements on the Outer Surface of the Cylinder. 
In a i^recisely similar manner we find for the displacements 
{„) = _ V 1 1 _—L 
'yx' 
. 2n + Ittc ^ 
Sin- . 2n + IttI) 2n + Itt,: 
2c sin-r-cos 
(2n + If 
2c 
1 
8Sc ” 1-sin 2)1 + l7rr sin 2n + IttI) cos '2n + iTr.r 
2 c 2 c fc 
^ {2n + If 
'SSc , 2n + Itt.: 
, cos- 
/j,7r- 
2c 
where 
J. 
dn/h - 1 
1 .2/1 + Itt/ . 2n + lirl 
Sin-;-Sin 
(53) 
^7 7 a-hf/Tj' — I — yx~J (2)1 + 1)' 2c 2c 
and is of the order l/{2n +1)® 
/ \ A (1 + 7^«Io" — 7 ali“ — 2LU . 2)1 + Ittc . 2n + lirh . 2n + Ittc 
(«’)/•=« = 7-0 S ,_.or 2MO., I i\2 -U;-.+ - 
fjL’jT^ 7 (7«'hf - (1 + (2« +1)~ 
2 c 
SSc ”1. 1 . (2% + Dttc . 2)1 + lirh . 2n + Itt.' 
= -o 2 - —-rvr Sin ---Sin ^ sm -r- 
0 7(251 + 1)- 2c 2c 2c 
SSc “ /I — yf 1 . (2ii + IIttc . (251 + Dtt/i . (2)1 — Dtt.j 
+ —o S - -—-^3 sm---sm ---sm--- 
+71'" 0 \ y / ( 2)1 + 1 )® 2c 2c 2c 
. 8 Sc ” , . 2)1 + Itt.:' 
+ , S W, sm-- 
/ZTT- 0 2C 
( 54 ), 
