CONTINUOUS GIEDKB. [CHAP. XH1 



1st. Moments at supports. 



- A c - r * 2 + A ' c - r + l 



when m > r, M,,, = 



in which A = 1 and A = P I (2& - 3#+#), A? = P Z (&_ #) 

 ^ 



for concentrated loads, and A = A' = J ^ ? for a uniform 

 load over any one span. 



2d. Shear at the supports. 



In the loaded span, to the right of the left support, 



To the left of the right support, 



In the unloaded spans, to the right of the left support, 



g^Mm-Mm*! 



To the left of the right support, 



q, _ M m - M m _ 1 



o m - j . 



f'm 1 



For the reaction at any support, Rm = S' m + S m . 



3d. Reactions. 



(a) Abutment reactions : 



when r = 1, RI = ^ + q ; when r = s, R g+1 = y? 



when 7* > 1 and < , RI = ^ Rg + i = ~. 



(J) Reactions at supports adjacent to loaded span (when this 

 span is not an end span) : 



A 



