TABLE 5 
Comparison of Experimental Collapse Pressures with Theory for 
Near-Perfect Thin Spherical Shells 
Experimental 
P 
Model: pomuenee 3 
ressure P 
ea E 
EXP 
6 925 0.73 1.20 
4A 2700 0.91 2.45 
44 Revised 3060 0.25 0.93 0.98 | 2.68 
1CR 6160 0.14 ow |eueonl Macon paw? 
1CR Revised 6600 O45) ocail aoa alos | eos" |: S209 
mf aePo from ee a 
% 
All pressure values are in psi, 
ae (Classical elastic linear buckling pressure of Zoelly and 
Timoshenko”) = 1,21 E(h/R) 
t 
P; (Empirical elastic buckling pressure for machined spherical 
shells developed from recent Model Basin tests°) = 0.8 E(h/R,)? 
2,1/2 
orn 
TT Taeeene ‘ ?4 
ie (Equilibrium yield pressure) = 2Rh o, /R, 
+ 
re (Inelastic buckling pressure of Bijlaard’) = 1.154 (ELE. /(1 - 
2 2 
pI? (h/R) 
$# 
P_ (Empirical inelastic buckling pressure for machined spherical 
shells developed from recent Model Basin tests3) = 0.8 (E,E,/ 
(1 - wy /? (n/n? 
Tangent modulus 
Where h = Spherical shell thickness E. 
R = Mean spherical radius =i pedigs onitet ratiovanethe 
Roa Outer spherical radius elastic range 
= Poisson's ratio in the 
E = Young's modulus i) 
plastic range 
Secant modulus Average material yield 
Stress 
= 
(7) 
ll 
an 
ll 
19 
