CONSOLIDATED STEEL CORPORATION 



161 



BENDING MOMENTS AND DEFLECTIONS 



OF BEAMS FOR USUAL METHODS 



OF LOADING 



P or W = total load 

 1 = length of beam 



(1) Beam fixed at one end and loaded at the 

 other. 



Safe load = y s that given in tables. 

 Maximum bending moment at point of sup- 

 port = Pi. 

 Maximum shear at point of support = P. 



p/s 

 Deflection =^j- 



(3) Beam supported at both ends, single load 

 in the middle. 



Safe load = 3^ that given in tables. 

 Maximum bending moment at middle of beam 



Maximum shear at points of support 



! 

 Deflection = 



P- 



(5) Beam supported at both ends, single un- 

 symmetrical load. 



f< 



Pab 



P 



Safe load = that given in tables X r- 

 Bub 



Hafo 

 Maximum bending moment under load = r 



Maximum shears: at support, a end= ; 



Pa 

 at other support = - 



Maximum deflection = ' v / : \a(2/-a] 



I = moment of inertia 

 E = modulus of elasticity 



(2) Beam fixed at one end and uniformly 

 loaded. 



Safe load = % that given in tables. 

 Maximum bending moment at point of sup- 

 port =^_ - 



Maximum shear at point of support = W. 



(4) Beam supported at both ends and uni- 

 formly loaded. 



Safe load = that given in tables. 



Maximum bending moment at middle of 



Wf 

 beam= - 



Maximum shear at points of support = J^W. 

 Deflection^,. 



(6) Beam supported at both ends, two sym- 

 metrical loads. 



Safe load = that given in tables X j 



Maximum bending moment between loads = 

 HPa. 



Maximum shear between load and nearer sup- 

 port = y 2 P. 



Maximum deflection 



Pa 

 : 48EI 



