BENDING-MOMENT AND SHEAR DIAGRAMS 39 



k- 1- 



2. Seam bearing a sin- 

 gle concentrated load P 

 at a distance c from one 

 support. 



The reactions in this 

 case are 



and 



Pc 



Hence, the bending mo- P(l-c 



ment at a distance x from 

 the left support is 



I 



provided x < <?, and 



if x > c. If x c, each of 

 these moments becomes 



and consequently the bend- 

 ing-moment and shear dia- 

 grams are as shown in 

 Fig. 40. 



3. Beam bearing several 

 separate loads. 



In this case the bending- 

 moment diagram may be 

 obtained by constructing 

 the diagrams for each load 

 separately and then adding 

 their ordinates, as indicated 

 in Fig. 41. 



-R, 



