196 



COLUMNS IN TOWERS. 



Art. 114. 



Having all the external forces, the moment at any section of 

 the column is easily gotten. When a column has several eccen- 

 tric loads, the corresponding cases in Fig. 144 may be combined 

 and the reactions added algebraically, to get the resultant reac- 

 tions as shown in Fig. 145. 



=- 0. 77SPf 



) **-0. 008 Pf 



Fig. 145. 



In this very simple case, the loads and eccentricities are 

 taken equal throughout, and the transverse members between col- 

 umns are assumed to be rigid. In practice, such columns do not 

 have a constant moment of inertia as here assumed, nor are the 

 connections of the horizontal members pivoted. If, for example, 

 the loads on column 3 were concentric while those on column 1 

 were eccentric, the problem would be statically indeterminate, 

 and the reactions would depend on the stiffness of the columns. 



