XLVI. 



q dx q H 



2 S 2 E 



(D - y) (t (1 + D - y) 



+ mi - (W - q) (D - y) - ** - m ) dy 



Ax^alD+^.^^l^DJMq-W)^^ 



. PH . D 2 



+ (m, — — m) — — 



y 2 J 2 EI, 



also 



Since A x x + A x} = O 



. qH^ 2 qD' mD 2 WD 3 



" S 2 E + 3E [, Eli 3EI l 



TT 



The displacement J; , due to the extension or compression 

 So E 



of the vertical B F can be omitted in presence of the double 



2 q D 3 

 displacement q-thtf-j ^ ue *° momen ts of bending, induced by the 



force q on each of the fl inges. 



Thus 2qD-3m-WD =0 (9) 



'G 



Mda 



a 2 = -sl 1 + 



E L 

 z 



for the line B Z we have 



(D -y) + — — - + m 



