" LE PONT VIERENDEEL. XLV. 



for the length B A 



M = - (R - q) (D - y) + Z* + m 



and for A G, M = + P C ? - x ^ + m 



:.*> = -^i(- (R - q) T + ! T +fflD } 



1 f PH 2 mH X 

 ElA 8 + 2 J 



Tn the same way 



, , 1 /qD 2 PDH ^\ 1 / PH 2 mHV 



Since a 2 + a£ = 



• -5. (2 qD + 4m - R D) + ^ = (8) 



Equations (7) and (8) give 

 m = q = ^ 



From this we see that at the mid -height of the vertical there 

 is a point of inflexion, and the direct compression equals one half 

 the re-action of the support. 



In considering the second panel BFVZ, Fig. 4, let the first 

 panel be cut by a vertical section C at a distance 1 from the 

 second vertical. Owing to previous investigation it is known that- 

 at this section of the flanges there is, as shown, a horizontal force 

 N a vertical force T, and a moment m : . These are the internal 

 forces resisting the effect of the external forces from C to the 

 left end of the girder. 



At B there is a vertical load W due to the cross girder fixed, 

 at that point. The line of reference is taken as V Z before 

 deformation. 



Divide the vertical B F at its middle point, and slightly 

 separate the two sections as before, Fig. 5, taking the same- 

 notation as before 



A Xl = a; D+ I ^ + / (D-y)-^ 



