Structure 1 with member BC of length L/2 has force P1 applied at joint C. Structure 2 with member BC of length L has force P 2 applied at C. Both structures have constant flexural rigidity EI. The...

Structure 1 with member BC of length L/2 has force P1 applied at joint C. Structure 2 with member BC of length L has force P₂
applied at C. Both structures have constant flexural rigidity EI. The required ratio of the applied forces P₁/P₂
so that joint B reactions R_B1
and R_B2
are equal is approximately:

(A) 1

(B) 5/4

(C) 3/2

(D) 2