49 JOURNAIv OF THE 



M^= (6,333—^)15; 

 f ( 

 1 



ofiving' the work of deformation for this section, 



■ri 125/^ —14250 p) (4). 



2EI 

 negflecting" the constant term as before. For the middle 

 seg'ment, 2 l=-\ 5, 



Mo= (6.3333—^)15 

 Ml = (7^—3. 166)225—7. 5/) 

 M.,= (7^—3. 166)15 

 The work by (2) for this se«"ment is therefone, 



1 



(3375/— 32062/) (5). 



2EI 



Lastly for the left seg-ment A B, 2/=15, 



Mo=(/>— 3.166)15 



Mi=(^— 3.166)7.5 



M,-0 

 . • . by (2) work equals 



1 



(1125/'^— 7125/) (6) 



2EI 



Adding- tog"ether (4), (5) and (6) and for a beam 6x16 

 inches, putting-, 



T _1 1 MY'} __8_ 



We g-et as the total work of the chord acting- as a 

 beam, 



1 r 1 



56953/^—541050/ | (7). 



2E I J 



The uniform compression in the chord, 5= 15(14 — -p) 

 -=-4, causes elastic work given by (1), on substituting, 

 «=45 and zv — % square foot; the amount being-, 



1 r 1 



I [950/— 26600/] I (8). 



2B I J 



