CIECULAR CYLINDERS UNDER CERTAIN PRACTICAL SYSTEMS OF LOAD. VJ7 
and the stresses become : 
n 
/xE 
^ = - •455329a^— -923650^+ U59099422a2 
( -If 
1 ?i-" 
cos 
8ft** (-1)" nirz 
— — A — —e,, cos — 
2i I n- c 
niTZ 
I + Q. 
yftE 
= •4ol889cd + •8977487%2 _ 2-41I71622rt2 
- f‘ - 2 .-V- + =os “f" 
8 a* * (— 1 )" 
s' 
27 T 
OlTTZ 
TT-guGOS 
^,= - •455329a^ - •359235'A'a’ + l-590994Y-a2 - 
fit, y 
O 0 
01'~Z~ 
+ -TT- - - 
— - -^a -;;— h,, COS — S-;— U cos 
81 - - ^^3 
c 
2 7 7 
niTZ 
c 
= 2'411716a~rz + rh — \-rz^ + ^ p,,, sin 
yU Hj 1 ^ ^ ^ 
K , * (— 1)" . mrz 
— -o\ N — — sin — 
1 n- ^ c 
whei'e 
h (P) 
- I, 
76 
Ii(-) 
) ii(«) - io(«) 
/i<In 
+ 1 h(p) “ 
h + hO^-'-i (p)l 
h 7/ P 
Qn^ (V - 1^0 -Ir 
i/« = 
Iq (p) / li («) 
76 \ ^ 
+ 9,1 ' *■ 
2 J 1 I 
3 -^0 
phlp) - Io(p) 1''/“ - 
6/d(I7-Ij2)-I^2 
^lip)/ pli ('^) 
76 
h = 
P»- = li {p)/h (“) 
7U^/«In , 1 
L p 7 
- - 1 Mp) 
7 
6a2 (17 _ 17) - 17 
% 
2 8 T 
plo (p) -- ^°Ji(p) 
*1 
67d(i7-i7)-i7 
(106a), 
. ( 1066 ) 
