57 



BENDING MOMENTS, DEFLECTIONS AND SHEARS FOR 

 BEAMS OF UNIFORM SECTION (Cambria Steel Co.) 



Zf==Total load, in lb., uniformly distributed, includ- 

 ing the weigh f of beam. 



W / 1 =Total superimposed or live load, in lb., uniform- 

 ly distributed. 



Jf 2 =Total weight of beam or dead load, in lb., uni- 

 formly distributed. 



/>, />!, /%, P A = Loads, in lb., concentrated at any 

 points. 



J/=Total bemling moment, in inch-lb. 



^A-,/, .!/,>= Bending moments, in inch-lb., due to 

 weights lt\ ^nd P respectively. 



/= Moment of Inertia, in inches 4 . 



/=Lengih of span, in inches. 

 /:=M .dulus of elasticity, in lb. 



per square inch=29,- 

 COO.'XK) for steel. 



ll' s = Total safe load, in lb., uniformly distributed, 

 including weight of beam=Total safe load of tables. 



The ordinates in diagrams give the bending moments 

 for corresponding points on beam. For superimposed 

 load only, make W 2 in formulae equal to zero. 



(1) Beam Supported at Both Ends and Uni- 

 1 f\ formly Loaded. 



Diagram for total load: 



Draw parabola having J/= - 



s 



Safe sunerimposed load, in lb., uniformly distributed, 



ir- s = ir s ir,. 



Maximum bending moment at middle of beam= 

 ._ Wl (IV, 4- W 2 ) I 

 M=-*-- 8~ 



Maximum shear at points of support= 

 \y \y ' t -|- jf.^ 



