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Engineering · Civil Engineering
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3. A foot bridge has viscous dampers installed to increase the damping ratio to 5-0.3 (30%). The bridge dynamic behaviour is estimated using SDOF spring, mass and viscous damper model where: stiffness, k 700x10N/ mass, m 4000kg: and the periodic loading has a frequency, 12.57 rads/s, and an amplitude, Fo 20kN, from pedestrian crowd loading. a. Calculate the undamped and damped natural frequencies of the bridge Ans: fn 2.105Hz; f 2.01Hz b. Calculate the magnification factor, IBI, and therefore the amplitude of the dynamic displacement due to the applied loading. Ans: 1ß1-1.675; Δ-48mm ]
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