NEW FIELD CARRIAGE (IRON) FOR LONG-RANGE GUNS. 
299 
consider the great mobility demanded of field artillery of the present 
day. 
Hitherto, there has been no generally received method of deter¬ 
mining with exactness the destructive effects of a gun upon its carriage 
when fired; but mechanics teaches us that when a sudden blow is 
imparted, a part of the work is used up in displacing the particles of 
the body. 
The action .of a gun on its carriage, as we saw above, partaking of 
the nature of a blow, a part of the work must be absorbed by dis¬ 
placing the molecules of the trunnions and of the carriage, and if we 
can evaluate that loss of work we should have an approximate idea of 
the action of the gun on its carriage. 
We have, then, 
m — the weight of the projectile, 
/3 = // // charge, 
v = muzzle velocity of projectile, 
m! — weight of gun, 
m!' — n carriage, 
v 1 = velocity of recoil of gun at first moment, 
v" — a a system (maximum). 
We have, then, the following equation— 
^ v = mV. 
Cm+ D® 
Therefore ®'= 1- -£L~ 
m 
The work done in recoil by the gun is expressed by 
/ ( m + §y® 2 % (“ + fy® 3 
MV 
V2 
m 
m 
The velocity of recoil of the system is found by 
(m' + m") v" = mV = ^m + v. 
(*+!)* 
Therefore v" = .. 
m + m 
The stored-up work of system may be expressed 
, , „ a (m+ |)V i(m + f) 
(m + m ) v _ , „ \ 2/ _ V 8/ 
3 (m! + ®j") 8 m' + m 
?)’- 
// 
2 
