ARTICLE X. 



METHOD OF CALCULATING TAHLE Of LOAD SUMS FOR AKY 

 STANDARD l.nvhis., li.u PKATIVE EXAttlM 



THE definitions uf moment turn and load mm are ghnc 

 at the beginning of Art. 2. It t at once evident that a 

 table of load sums may be computed by adding the 



lua.k It may be shown that the table of 

 Mini- may alao be calculated by the proeea of 

 addition. 



From fonnula (5a of Art. 2, 



Or 



- W. - djr. 



I xpressed in \vnl>. 1 1..- increase in the moment mm for 



an increase </./ in the distance of the centre of moments 



wheel 1 equals the load turn times dx. If the load 



Mini is constant for an interval dx - 1 foot, as between eon- 



uted loads, the increase of the moment *um for dx - 



1 foot equals the corresponding load sum. If the load sum 



:iMant. hut uniformly increasing, as when the 

 tre of moments lies within the uniform load, the 

 of the moment sum for dx - 1 foot equals the amyt valur 

 of the load sum for this ont uterval. The appli- 



:i of the foregoing principles is made dear by the fol- 

 i.'Uing example. 



>implf. Give explicit directions for the calculation of 

 a tahlc of load sums and moment MIIIU* at inten*ak of 1 



to 400' for ( O<IH r'tf 40 loading, 

 i. Calculate the table of load *um* by adding 



