Buckling of Deep Beams. 

 The solution of equation (37) in series is 



307 



— «o { 

 + a x x \ 1 



1-TT— 7 + 



3 



.4 



??i 4 t i' 4 



4 



5 



m 



^ 4 



+ 





??i 8 .f 8 





3 



.4.7 



m 8 # 8 



8 



4 



.5.8 



9 





m 8 # 8 





6.7 ' 6.7.10.11 

 The conditions to be satisfied are 



-....}. . (39) 



T =0"| 



z/ =0 



£-1 



r when 



*=0, 





►when A' = i/. 



= 



To satisfy the first of these a must be zero. In order to 

 make use of all the other conditions we have to find y. 

 From (36) 



x dx x 2 ~ P x 2 dx Fx 2 



that is, 



i-(y\ - 2Kn l ch _ 2N 



2Kw 

 P 



r 1 m*x 2 m 8 x 6 

 ai |,7 4~ + 47^8~ 



A A O Q 



+ »{3 



6 



+ 



m°ar 

 6.7.10 



2N 



(40> 



