CORRUGATED BAR COMPANY, INC. 



7. Beam Supported at Ends. Two unequal and unsymmetrical concentrated loads 



I*— a— >i«--i-(a*6)--^- -6---* 



-f 



|«2 



Rt =~^P,{l-a)+P^'j 

 R2 =^[Pia4-P2(/-6)] 



j V^ =Ri-Pi 



Moment Vm = Maximum Reaction. 



Diagram ^^ _ „ a ,, _^ , „ 6a; 



iiW 



\ Ml =Ria=-, 



P,jil-x)+F,-^ 



I I I I I M M 



Shear Diagram 



i^^ J/, 



^-^=1 



Pi{l-a)^Pjt> 



Pia+P2il-b) 

 Greater of Mi and Mt 



8. Beam Supported at Ends. Two equal unsymmetrical concentrated loads. 



,-<-o-x I-(o+i)-->r6--- b- 



4 



Irl 



Ri 



{l-a-\-b) 



K:---X ^ 



[r, 



Ri =j{l-h+a) 



Fx =Ri-P 



Vm = Maxhnum Reaction 



Moment 



Diagram 3/x 



{al — ax-\-bx) 

 Pa 







Ml =Ria= y (/-a+6) 



' Ph 



I 1/2 =RJ)=^il-b-^a) 



Shear Diagram * 



'-V. Mm = Greater of Mi and Mj 



!«2 



fis 



(when b > a) 



'" 126(Z-6+a) 

 9. Beams Supported at Ends. Two equal symmetrical concentrated loads. 



it-a-i^ (I-2o) >,(--a-^ 



M 



t«2 



MM 



II 11 1 11 1 1 



Moment 



Diagram 



Shear Diagram 



Fx =0 



3/x =il/m=Pa 



P =^ 

 "" 12a 



At center. 



When a 



30 



