Hyper-Static Arch Resilience Protocol

Design and construct a structural arch spanning exactly 30cm that must support a fluctuating load of 5kg while resisting lateral sway induced by a dynamic oscillatory force. You must prioritize the calculation of thrust line stability and demonstrate how the structural geometry accommodates the bending moment under asymmetric loading conditions. The final evaluation will focus on the deflection-to-load ratio and the efficiency of the force distribution path within your material constraints.