The known terms are w, w , and AR.. Hence, radial displacements due 



m 1 '^ 



to bending can be calculated as: 



w + AR. - w 



(B-3) 



An estimate of the magnitude of strain on the inside and outside 



wall surfaces can be made because w and w, are now known. Mem- 



m b 



brane strain is calculated from: 



(B-4) 



and bending strain is calculated 

 from an expression developed in 

 Reference 19 as: 



^ 2 r2 



(B-5) 



0.05 0.10 0.15 0.20 



Radial Displacements, w (in.) 



Figure B-25. Radial displacement behavior 

 Table B-6 summarizes the along length of Group 3 cylinders 



having t/D^ = 0.037 and simple 



ultimate radial displacements and support at a pressure load of o.95P,n,. 



calculated strains. It is interesting 

 to note that although w, is typi- 

 cally several times the magnitude of 



w , the calculated strains e and s, are nearly equal. At implosion 

 m m b J ^ f 



the strains at the flat-spot location on the inside wall experienced slight 

 tension while on the outside wall strains were on the order of 4,000 

 pin. /in. compression. 



69 



