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Problem 4) (a) Use modal analysis to determine the following properties for the following idealized 3-DOF building: a

Civil Engineering

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Problem 4) (a) Use modal analysis to determine the following properties for the following idealized 3-DOF building: a. natural frequencies b. natural periods c. normalized mode shapes (normalized by mass matrix) use in., kip and sec. as the basic units (b) Sketch the final normalized mode shapes. w3 = 8 kip k3 = 20 kip/in w2 = 15 kip W2 k2 = 30 kip/in w1 = 25 kip W1 l1 k1 = 50 kip/in