loS STRESSES IN A TRANSVERSE BENT 



foot of the columns where the direct stress is equal to V^ F 2 , F 3 and 

 F 4 , respectively. The stresses in the leeward side of the main truss are 

 very large due to the small depth of truss in line of the member 29-30. 

 The stresses could be materially reduced and a considerable saving of 

 material obtained by using a main truss of type (b) or (h), Fig. 88. 



Moment and Shear in Columns. The bending moment in the 

 main leeward column is shown in (b), the maximum moment is at 

 the foot of the knee brace and is M = 274,500 ft.-lbs. The shear dia- 

 gram is shown in (c), the maximum shear is between the foot of the 

 knee brace and the top of the column and is ^ = 45,750 Ibs. 



NOTE. The stresses in a bent with side sheds obtained by the pre- 

 ceding method are approximate for the reason that the assumed condi- 

 tions are probably never entirely realized. In the exact calculation of 

 the stresses, of which the above solution is the first approximation, the 

 deformation of the framework is considered in a manner similar to 

 that of the two-hinged arch in Chapter XIV. The approximate solu- 

 tion is entirely adequate for all practical purposes. 



