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Consider a simple five story identical mass(m), identical story stiffness(k)moment resisting frame structure with rigid slabs. a) Using the Rayleigh's quotient method with at least one round of updating, find a good approximation to the fundamental modeshape and the corresponding natural frequency. Start the process with "deflection under mass-proportional loading" deflected shape. b) Repeat the process by assuming that the ground story (i.e.1ststory) stiffness isk/4, andkelsewhere. c) Repeat the process by assuming that the3rdstory (mid-height story) stiffness isk/2, andkelsewhere. Compare and comment on the results found in parts a, b, and c. You may want to graph the modeshapes, say after normalizing each with respect to roof displacement, i.e., set roof-level modeshape value to 1.0.

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