60 



Deflection at distance x from left support = 



1 \2al-a.\\ 



2al- a 2 

 x = \ = Distance, from left support, of 



point of maximum deflection for superimposed load. 



(6) Beam Supported at Both Ends with 

 Two Symmetrical Loads. 



Diagram for superimposed load: 

 Draw trapezoid having Al p = Pa. 



Diagram for dead load similar to case ( I ) . 



Safe superimposed load, in lb., concentrated, each 



W s l- WJ. 

 Fs ~ Sa 



Maximum bending moment at center of beam= 



Maximum shear at points of support= 



2 



Pa f \ 5 W,l* 



Maximum deflection = ~ \WJ I ^^ ^ a * )~^~~3X4 jLl ' 



(7) Beam Supported at Both Ends with 

 Loads Concentrated at Various Points. 



The total bending moment at any point 

 produced by all the weights is equal to 

 the sum of the moments at that point 

 produced by each of the weights separately, 

 Diagram for dead load similar to case (1). 



