Art. 114. 



COLUMNS IN TOWERS. 



195 



and four constants of integration. The conditions for determin- 

 ing these are, the sum of the horizontal components equals zero, 

 the sum of the moments about B equals zero, y=Q when rc=0, 



i/ when x=--l, 2/ 1 =0 when x 1 =0, y^=Q when x^= I and -7-7 is 

 the same for x=l and x^=l excepting signs. 



AB * 



BO 



EIy= -iprf+i-F! x'+Cx +(C"=0) 

 C"=0 since when x=0 

 since y=Q when x=l 





C'i=Q since yi=Q when xi=0 

 since yi=0 when xi=^ 

 Ci= J- Ifa/ 2 



Making a^=? in (a) and sc^Z in (aj 

 Z 2 +| Pe/ 1 //i / 2 = -4 7/3 

 et= H 3 P 



(ai) 



: 3 t or n z i=u^i Jre 

 Substituting this value of H.J in the preceding equation 



This value in the above equation gives 



For the point of contra-flexure 

 PeHix=0=Pe% 



x and x=\l 



