CONTINUOUS BEAMS 



77 



This relation is therefore the most general form of the theorem of 

 three moments for any number of concentrated loads, including the 

 effect of unequal settlement of the supports, or other change in 

 their relative elevation. 



APPLICATIONS 



151. A continuous beam of four equal spans is uniformly loaded. Find the 

 sending moments at the supports. 



Solution. The system of simultaneous equations to be solved in this case is 



the solution of which gives 



152. A continuous beam of n equal spans carries a uniform load of the same 

 amount in each span. Check the moments at the supports given in the following 

 table for values of n from 2 to 7. The tabular values here given are the numerical 

 coefficients of wl 2 . 



MOMENTS AT SUPPORTS FOR EQUAL SPANS AND UNIFORM LOAD 



