This paper analyzed the effects of rotational stiffness of wedge connection between vertical and horizontal members of system supports. By simulating the connection condition both a hinge connection, which is considered in the design stage, and a spring with the rotational stiffness reflecting the actual behavior, the critical buckling load and the maximum combination stress ratio are compared. The results show that hinge condition somewhat underestimate the actual behavior of vertical members of system supports. However, it is also noted that the horizontal member represents the increased stress due to the rotational stiffness of the connection.