210 



CONTINUOUS GIRDER. 



[CHAP. 1TTT. 



BEACnONB AT SUPPORTS TOTAL UNIFORM LOAD ALL SPANS 



EQUAL. 



Coefficients of u I given in triangle. 



vm. 



VII. 



VII. 



VIII 



We are thus able to find both moments and reactions at the 

 supports for any number of spans, so far as uniform loading is 

 considered, and may then either diagram the strains in the 

 various pieces or calculate them as explained in Arts. 127 and 

 128. No formulas are required. Any one who understands 

 the method of moments as applied to simple girders can, by 

 the aid of the two tables above, find accurately the strains in 

 every piece of a girder, continuous over as many equal spans as 

 is desired, and uniformly loaded over its entire length, all sup- 

 ports being on the same straight line. 



As we have seen, Art. 127, this is one of the cases which 

 must be considered in order to find the maximum strains in 

 any span,* and the results above given for its solution will, we 

 trust, be found by the practical engineer to be neither " com- 

 plex" nor " difficult of application." 



136. Clapeyrouian Numbers. In the analytical discussion 

 of continuous girders, certain numbers having many remarka- 

 ble properties play a very important rdle. 



We have seen that the theorem of three moments furnishes 

 us with as many equations between the moments as there are 

 moments to be determined. For a small number of supports, 



* See note to Art. 129. 



