CHAP. XT!!.] ANALYTICAL FORMULAE. 227 



(c) All other reactions : 



Where for concentrated load, 



A = PZ2/fc-3# ! -f# 5 A' = P Z /&- 



For uniform load in single span, 



Cb 



A = A' = w ?, q = tf = % w I, k being always , and 



i 



Cl = c 4 = 15 c, = - 780 Ou = 40545 



02 = 1 5 = - 56 c s = 2911 c u = - 151316 



ci, = - 4 c 6 = 209 eg = - 10864 e^ = 564719, etc. 



We give also, for sake of completeness, although not needed 

 for calculation, the formulae 



FOE UNIFORM LOAD OVER ENTIRE LENGTH OF GIRDER.* 



Moment at any support, 



TVT . O A 7i ^in 1 ^s+2 ^m+1 ^s. 

 "-Ljn 4 A. O m j- r ; 



O a+ % 6, 



Reactions at abutments, 



Reactions at other supports, 



where, as before, A. = % wPj q % wl, 

 and the numbers indicated by 5 are as follows : 



h = 5 4 = - 3 5 8 = - 41 ^ = - 571 



Js, = 1 5 5 = - 4 J 9 = - 56 5 U = - 780 



&, = 1 5, = + 11 5io = + 153 etc. 



5 7 = + 15 5 U = + 209 



* The above equations were first given by Mr. Merriman, in the Jour. 

 Franklin Institute, April, 1875. 



