A frame $\text{EFG}$ is shown in the figure. All members are prismatic and have equal flexural rigidity. The member $\text{FG}$ carries a uniformly distributed load $\text{w}$ per unit length. Axial deformation of any member is neglected.

Considering the joint $\text{F}$ being rigid, the support reaction at $\text{G}$ is

1. $\text{0.375 wL}$
2. $\text{0.453 wL}$
3. $\text{0.482 wL}$
4. $\text{0.500 wL}$