During a long earthquake the one-story frame structure of Figure P4.45 is subject to a ground acceleration of amplitude \(50 \mathrm{~mm} / \mathrm{s}^{2}\) at a frequency of \(88 \mathrm{rad} / \mathrm{s}\). Determine the acceleration amplitude of the structure. Assume the girder is rigid and the structure has a damping ratio of 0.03 .

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k 2 x(t) Girder m = 2000 kg Columns k = 1.8 10 N/m 1x (1) FIGURE P4.45 k x2