,XLIV. J. I. HAYCROFT. 



E = coefficient of elasticity 



Q = direct stress acting on each section of the members 



For the lower flange dx = 



Qdx / qdx qH 



SE / S 2 E 2 S 2 E 



The factor (D - y), where y is the distance from the second 

 ■vertical, is zero on the line A G, thus to evaluate the effect of M 

 the section B A need only be considered, for which 



M = (R-q) (D-y)-P?-m 



^G /*D 



b < D -^w = E 1 r 1J / < D -y> Md y 



J_ / (B - q) D" _ PHD 8 _ D^ \ 

 E I, \ 3 4 2 ) 



• A X - a'D - i H + M R -q> p3 - PHD1 - mI)2 \ 



The value of A x{ for the upper semi-panel is similarly found, 

 thus — 



a i- in qH 1 / -qD 3 PHD 2 _ mD 2 \ 



Xl ~ " &lV ~ 2S 2 E EI X \ 3 4 2 / 



and since Ax,+ A xj = 



•■• 2 i D ( 1+ S5) +3m - Rr, = ° 



O T TT 



neglecting ' as being small compared to unity 



2 b 2 D 



;. 2qD + 3m - RD =- (7) 



As regards the angular variations 



ds 



&2 — — aj + 



/ Mds 

 / EI 



J 



