1338 
5 ds ao . 
G = dl E (A--p) rs 4-2 (4 +p) 7? = +22 ae rk 4 +a-+6)7r*.(24) 
jd . 
1 xO’ 
F — Bl E (A+ u)r?s+ (44 2u) 7? =. + a | “+ 5, (u+b)r* . (25) 
fie 
By partial integration of the second term (23) becomes 
Re 
ae momma | 
y= Pes + | (¢ — — | dsdr. 
| | dr 
Oe 
N ; ds | 
As for r=0 the dilatations s and r = must have finite values, 
ar 
the function # vanishes for r =O, so that we obtain 
R 
3 dF 
dy = Ff. _ pds +f («- =) O8 OF KZ a hee (26) 
0 
If now we put ds —0, only the last term remains, so that we are 
led to the condition 
ree 27) 
Se aS lee cease 
or after some transformation 
d ds Ob 
—_ {rz — 7, 
dr dr 20 24+ Zy 
, ds 
But for r= 0 we may put 7° 3, — 0. We find therefore 
ar 
CO a—dsb 
TT 16 A+ 2u 
If this value is substituted in (22) we obtain w as a function of 
the external parameters @,s and g. By differentiation with respect 
to these variables we may calculate the external forces corresponding 
to them. We need only the two last ones, S and Q, of which Sis 
immediately determined by (26). For according to this formula we 
have 
GEER) TBS SS ee 
dp— Ff _ p58, 
so that 
ow 
SSS hee 
ds t 
which can be calculated by means of (25) and (28). As to 
Ow 
Q=— 
0g 
