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Q2 The water tank shown in Figure Q2 is subjected to the earth quake excitation, as shown in Figure Q2b. The mass of tank is 15000 kg and the supporting column is a hollow circular reinforced concrete column, with outside dimensions 800mm and wall thickness 100mm. If the Young's Modulus of Concrete is 35,000 MPa, and degree of damping, is 5%, determine: (b) (c) The maximum relative displacement, Xmax The maximum shear force in the column The maximum bending stress in the column of height is 7.5m. Note: 1 in=25.4mm, g -9.81 m/s² Tank K Figure Q2a Water Tank x(t) y(t)
Response spectrum for El Centro ground motion = 0, 2, 5, 10, and 20%. 100 50 8 Pseudo-velocity V, in./sec 10 ch 0.5 0.2 0.02 J 10 0.05 0.1 0.01 Pseudo-acceleration A 10.1 0.13 Figure Q2b Response Spectra 0.5 o Deformation D, in 0.01 0.2 0.5 1 2 Natural vibration period To sec 5 £0.001 10 100 50 20 50