" LE PONT VIERENDEEL. XLVII. 



=Ei7(- T(ld+ t )+ (W " q) t + <" .•"• + ^r + m > D ) 



-for the line B G 



G 

 Mds = _1 

 EI EI 2 



Similarly 



$1 = + a, + 



i t -jtjj- ( TI) ( 1 +y)-qy + ( m i- T + m ) 

 D ) + 2-EX ( " — + m ) 



-Since a<, + a£ =s 



(-2qD + 4m+ WD) + ' ! 



2E1, * 7 E I 2 



Inserting the value of equation (9) 



n W 



m = ° q =- -y 



There is no necessity to solve for these values in connection 

 with any other vertical, as on investigation similar values would 

 result. 



Thus, in every vertical, there is at mid-height a point of 

 inflexion. The stress in the end verticals is always compressive, 

 a,nd equals half the reaction, whilst the stress in all other 

 verticals is tensile, and equal to half the load supposed to act at 

 the end of the cross girder fixed to the vertical. 



On investigating the stresses, due to the load being on the top 

 flange, or, rather, to the cross girders being fixed at the top of 

 each vertical, the point of inflexion at mid-height of all verticals 

 will be found still to exist, and the compression in the end 

 verticals will be found equal to half the sum of the reaction of 



