ON lilKLKP GUNS. 



P_M^=I. 



v p-+ m. v.- - .,'uiYj, „.y\ 

 -'■" v •^m + i.a.-;'-..„(,,5) 



». /. p V" 1/ 



(19) 



(8) — Ifp, denote the pressure of the gas on one square foot of surface, then 



V= lh .-. l ,\ (20) 



and denoting the weight of the projectile, in pounds, by W, and the principal radius of 

 gyration of the missile in reference to the axis of rotation by /,',, then will 



W W 



I = — lc?. ; M = — (21) 



g S ' 



and Eqs. (IS) and (19) become 



df p.n.l.g \- ' / , » , -> ~ • / , '/ \ (22) 



' ° 1 + A. k^. — — . sin S h - ■ J v 



I *r_ jaw. . / , _ ,\ p^-^-/''+w.v.f / .cot.( ^.-?) 



?tf P .n.l. g : K* V 1 + A.tf *-(*«. »^ 



(23) 



(9) — Denote by C the strain in direction of circumference of the bore, then 



C = Ih . 2 p. (y + c) (24) 



in which c is the distance from the bottom of the bore to the beginning of the groove. 

 At the mouth of (he gun, y = l, and the working formulas become 



_2 



A= —, (25) 



1 ~^ST~ n.l. ' . ^kl (26) 



1 +A. T 



n. p. I, 



I (P'F^Xf yx.-.p 



p-JF~TT\ , A **•*? (27) 



1 + A. r 



n. />. I 

 C = 2 Pl . p (/ + c) (28) 



The value of /' being zero, Eq. (10)' shows 110 action to draw the expanding ring of the 

 projectile outward, on the part of the edge of the land. 



Equation (24) gives the circumferential, equation (22) the longitudinal, and equation (23) 



(319) 



