200 COMBINATIONS OF BUCKLING AND BENDING. Art. 115. 



From equation (63) 



12 ' 5 / M792 l 0558X0.558\ 



0.0000096X180,000 

 _ 12.5X0.0235 

 ~0.0000096.X 180,000 

 From equation (64) 



=0.17 iL 



5X4500X360X360X360., 

 *-- 384X30,000,000X025 (1+0.1245)^0.1645 in. 



From equation (65) 



_ 5X202,500X360X360 . 



y* - = 48x30,000,000X625 ~ 



Equations (63) and (64) give practically the same result, 

 while equation (65) give a close approximation. 

 From equation (66) 



180,000 . 7.5/ . 5X1 245 



9100+2750=11,850 Ibs. per sq. in. 



Whether or not this is excessive depends upon the column 

 formula used. 



The case illustrated in Fig. 147 is of common occurrence in 

 practice. 



'~L 



Fig. 147. 



Considering first the longer segment and proceeding as in 

 the case of Fig. 146. 



-pi 



y=C\ sin x-j-Cz cos x ~ =-x 



r L 



since y=Q when ic=0, C 2 =0 and the equation of the elastic line 

 becomes 



~^P X 



Similarly 



P,li 



