Surface-Loading on the Flexure of Beams. 497 



Fig. 4, 



the width of the beam = length of bearing of loaded roller, 

 we have 



W 



y = k.-j- t —for the given beam. 



w 



Then 0D = BA = 2&^- (since B A represents the stress 



bx 



3WZ 



at B due to the load W). Also E H = r xT oT, where E H re- 



presents the stress at E due to a load W on a beam of depth 

 h and width b and span / ; and 



EH_CE m po _ ri? OD 

 OD~ CO' " ^-^ EH' 



h n h 07 W 2 m 2 h s k 



h 3 k 



-6+'7-S¥! 



4^ 



[since #=^00] ; 



6 6* 4 A 



i + A+ A»^3 : -|-":* ; P ut A = ^ ; 



fc: 



3 /I # # 2 \ 

 Phil. Mag. S. 5. Vol. 32. No. 199. Zfce. 1891 



2L 



