An air conditioning system is being installed on the roof of a single-story building supported by...

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An air conditioning system is being installed on the roof of a single-story building supported by four columns. The equipment causes a harmonic force in the vertical direction. The model of the building is shown in the figure. Where, the effective mass of the slab is 5000 kg and the stiffness of each supporting column in the axial direction is equal to 50 kN/m. And damping ratio is 0.2 a) Derive the equation of motion of the system. b) Find the natural frequency of the system. c) What is the steady state amplitude. TI 768 F(+) = 500 cos (2ot) A // An air conditioning system is being installed on the roof of a single-story building supported by four columns. The equipment causes a harmonic force in the vertical direction. The model of the building is shown in the figure. Where, the effective mass of the slab is 5000 kg and the stiffness of each supporting column in the axial direction is equal to 50 kN/m. And damping ratio is 0.2 a) Derive the equation of motion of the system. b) Find the natural frequency of the system. c) What is the steady state amplitude. TI 768 F(+) = 500 cos (2ot) A //

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a Derive the equation of motion of the system The equation of motion for a singledegreeoffreedom sys... View the full answer