Unstiffened Roadway in a Suspension Bridge, 449 



The first term of this, after substituting for h and H and ex- 

 panding, 



The second term 



-(i-^-m^-i-^-m- 



The third term 



^-¥('-3)^{>^-('-¥( 1 -i)') 



8m <//, ff-l/y _/y\ 3 

 e 2c 3 IV /3 V 2m) ) 



2b 2m m 3 

 c 



Let C be the value of c when /3=1, or no train is on the 

 bridge; then 



3 



(20 J 



+ 2V y3 V 1 4mV/ 



Hence the values of h and h 1 are known; by (18), (19) they are 



-i'o-¥('-i)y 



c ( 3+ ?) =2(A+c); 



PAtf. 3fa#. S. 4. Vol. 23. No, 156. June 1862. 



(>-i)7 



By (3), 



SO 



(21) 



2H 



