14 



[Translator's Note: Substituting the above values 0t= 10.47, x = 2.083 x 10 

 in (a) gives 



y = 1.718 x 10.47 x (2.083 x 10" 6 )^ = 0>00116 

 1 - 0.374 x 10.47 x (2.083 x 10~ 6 r 



Case (b) <X= 6.98* n = 14 /? = 0.199 /*,= 1.35 ^=1.20 



y = 0.91^0.0396* + 2^081 (244>7 a _ 2 x 1>35 x 196 + 1>20) x 10 -« 



y = 0.000164 + 0.000564 = 0.00073 

 This value lies below the limit and therefore according to Eq. (13) 



p = 0.005 2 ' 12 ^ ^ 1 10 x 0.00073 =8.5 kg/cm 8 = 8.2* atm. 



Translator's Note: Substituting E = 2.125 x 10 kg. per sq. cm. 



t/d = 0.0025 1/d = YTW5 = °' 225 directlv in E< 1- ( & ') 



= 2.60 x 2.125 x10 6 x (0.0025** . g^ kg/cm a = 8>26 at J 

 0.225 - 0.45 x y 0.0025 -J 



Case (c). °C= 5.24, n = 13, f> = 0.140, fJ>, = 1.24*, fa = 1.2 



y = °-*£°f* + f$$ (196 . 5 - _ 2 x 1<2 4* x 169 + 1.2) x 



= 0.000098 + 0.000438 = 0.000536. 



it, 

 p = 0.005 2,12 q q., 10 x 0.000536 = 6.26* kg. per sq.cm. = 6.06* atm. 



[Translator's Note: The use of n = 12 instead of n = 13 in the above problei 

 gives a slightly smaller value of y. 



<*= 5.24, n = 12, f>= 0.160, f>, = 1.28 fa* 1.2 

 y = 0-91^0.0256 + 2^ (1?1b5 . _ 2 x ^28 x 144 ♦ 1.2) x 10~ 6 



= 0.000149 + 0.000386 = 0.000535 

 However, in practice, collapse may occur in either 12 or 13 lobes. 

 The use of Eq. (a') gives 



p = 2.60 x 2.125 x10 6 x (0.0025)* = 6 .22 kg. per sq.cm. = 6.02 atrnl 



rffeo " °- 45 ^/oT552T J 



A comparison of the experimental and theoretical values shows 



10' 6 



