242 ME. W. EAIEBAIEN AND ME. T. TATE ON THE AIECHANICAl PEOPEETIES 
Table IX.-Eeduction of the Eesults of Experiments on the Resistance of Glass 
Cylinders to unity of thickness. 
Number of 
experiment. 
D. 
Diameter, 
in inches. 
L. 
Length, 
in inches. 
XL 
3-09 
. 14 
XII. 
3-08 
14 
XIIl. 
3-25 
14 
XIV. 
4-05 
7 
XV. 
4-05 
7 
XVI. 
4-06 
13-8 
XVII. 
4-02 
13-8 
XVIIL 
3-98 
14 
k. 
Thickness, 
in inches. 
0-024 
0-032 
0-042 
0-034 
0-046 
0-043 
0-064 
0-076 
P. 
Collapsing pres- 
sure, in lbs. per 
square inch. 
P reduced 
to unity of 
thickness. 
85 
103 
175 
202 
380 
180 
297 
382 
27-36 
20-23 
23-47 
36-41 
44-86 
23-36 
22-10 
22-33 
T et D n, he put lor the data aeiivou huixa 
from Experiment 2, and so on ; then we get from equation ( .), 
logPT~log7>7 
H — logD^— logDi 
log + log Ps • 
13 = 
(O-) 
( 6 .) 
('•) 
* -*^5”^ o o ‘ D / ' ^ r' J -C. 
f n ^5 1 we find 8=3-43 ; from equation (6.) we find (3 = o-2o ; an 'om 
From equation (50 we find 
equation (7.) we find ^ = 3 dO , ana me u 
j3=i(3-43-f 3-25 + 3-56)=3-4. 
For the value of the constant C, we find 
logC=l(logi,.+ + logft)+^j(logD. + .- + logD^)+2“’ . . . C-. 
whence we find 0 = 28 , 300 , 000 . „;,tained in the general formtUa (1.), we get 
Substituting the values of «, (3, C thus obtained mi g ^ 
P=28,300,000x^4 
,*,a .. A. .... '-1- 
riz. D = 6 and 1=-0125, we find 
logP=4-6518-t-l-41ogl-25-3-41og5_log.o8, 
,.t is p=258 Ihs. Now this would he tlm crushing . 
be flint-glass ; but the ciushing piessuie ^ vj^essure difi'ers very little from that 
rrijrcr <» > 
results of the experiments on glass globes. 
