14 1.l\ I. -LOAD RTHI BB1 - 



The influence line for A', is shown in Fig. 4a. The sum 

 of the ordmate-load products within the shaded area rst 

 equals the end reaction ft, which at the same time is tin 



<n<l shtnr at If,. 



From Fig. 



Ordinate-load products iu rsl = 



" n/r 



" [orb 



" hrsc. 

 By using formula- ! and .", . thi< equation becomes 



ft = -j- M ] .U, - ir, **L-JL .. Wl g 



Any value of M or H" may be read directly from Table 

 2 for the standard loadings given in Table 1. For example, 

 in Fig. 4, if li = 10', / 2 = 30', and Wi of Cooper's #50 has 

 advanced 14' beyond the left end of the span, we have 

 from Table 2, 



At 1, 14' from Wi, M, = 350.0*' Wi = 62.50" 



At 2, 24' from w i9 M 2 = 1150.0 W 2 = 112.:>n 



At 3, 54' from Wi, M> = 5435.0 W 3 = 177.:><> 



The formula for ft is developed as for ft, the method 

 of writing the second member of the first equation bein?- 

 abbreviated in a way readily understood. From the influ- 

 ence line in Fig. 4b, and the formulas (4) and (5), 



ft = Ordinate-load products in (dvxe - \dvf + \fue) 

 Or 



p w L u l M w M *~ ' }! 



ft = W a Y My + f Mi = Wi j 



The sum of the reactions Ri and ft as given by (9) and 

 (9a) equals W t JT,, or the sum of the loads on the luidge. 



From the influence line in Fig. 4c and formulas ."> oi 

 (7), the equation for bending moment may be written: 



M = Ordinate-load products in ( \gbh iinl: + \kzh}. 



