1164 
eA0 
Values of S calculated from (38) are given in colum 9, Table |. It will be seen that S varies 
from 5 for large values of € (i.e. thin plates) to E for small values of € (i.e. thick plates). 
For the explosion pulse from 300 1b. of T.N.T. for instance € varies from 12 to 0.5 as the plate 
thickness increases from 0.25 to 6.0 inches. The value of S varices from 0.38 to 0.54 in this 
range. With a charge of 2400 1b. of T.N.T. € varies from 24 to 1.0 as the plate thickness varies 
from 0.25 to 6.0 inches. In this range S varies from 0.37 to 0.50, If, therefore the question 
"What is the relationship between charge-weight and distance necessary to produce a given amount 
to the structure of a ship" had been put in the form "What is the best exponent S to choose in an 
assumed power law of the form 
(radius of destruction) proportional to (charge-wei ght) 8 (39) 
when the charge varies between 300 and 2400 1b. and the plate oetween 0.25 and 6.0 inches in 
thickness?" the answer given by the foregoing analysis would be that S varies between 9.37 and 
0.54, the mean value being 0.46. 
Comparing (a) and (b) it will ce noticed that if tnis exponent is determined experimentally 
a value near 0.66 might indicate that the water remains in contact with the plate, whereas a value 
near 0.46 would indicate that the plate separates from the water. 
