AND ITS APPLICATION TO MIL B. TOWER’S EXPERIMENTS. 
191 
The boundary conditions are 
x=0 i 
x—a ) 
y =o u 0 =-u 
y=A U 1 —0 V^O 
p is a function of x only. 
And from equation (17), Section. IV., by integration 
~1F 
(30) 
(31) 
Aj being the value of h when x=x 1 where the pressure is a maximum. 
Integrating with respect to x, and putting p— II at the boundaries 
X-i — -- 
1 2 + m 
(32) 
p—ll 
6 
pAl a f 1 
-l 
1 +m- 
1 + m 
2 + m 
1 7 
2+m j 
J 
(p-TL)dx= 6 %~ j log, (1+m)- 
m 
1 + 
m 
1 
(33) 
(34) 
or putting W for the load per unit of breadth, W is a maximum when m —1'2 
approximately and 
W TT ft 2 
—=-16/xU—. 
a 1 h- 
.... (35) 
again, by equation (19) 
, U i 
W. 
.... (3G) 
therefore 
iU lo&(1+m) • ■ • ■ 
.... (37) 
and if 
m= 1 ’2 
F^-6572 ^ 11 .(38) 
