If the small quantity t^/d?- is neglected, this can be reduced to 



and 



/ = 



A,<fl 



12 



h = L (1 (1 + [21] 



^ 12 I ^ / I d Af I 



3 / bt h-t \2 I bt \ I 2t Zbt\ 



[22] 



To demonstrate the accuracy of these 

 frame formulas some numerical examples are 

 provided. Table 3 lists the dimensions of 

 several frames representing shapes and sizes 

 which might be used in submarine construc- 

 tion. Type 1 is an H-section with unequal 

 flanges which was used as the example in 

 Appendix A. Types 2-5 are I- and 

 T-sections taken from the steel construction 

 manual of the American Institute of Steel 

 Construction.^ Table 4 lists shell dimen- 

 sions for each of these frames and compares 

 the values of h and / calculated from the 

 simplified formulas with the exact values from 

 Reference 7. The error in each case is found 

 to be less than 2 percent. 



f 



y- 



Figure 4 - Identification of Symbols 

 Used in Calculating / 



13 



