Now, we reimpose the constraint from the roller support, that is, v_B = 0.  Using the tables and superposition.

 

 

 

 

 

 

 

 

 

 

 

v_B = v_B1 + v_B2 = 0 = - ( M_o L² ) / ( 2 E I ) + ( B L³ ) / ( 3 E I )

 

This equation allows us to solve for B which we take back to the equilibrium equations to find the remaining reactions.

Lecture #32, page 2                 Back