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The two-storey frame shown in Figure Q4 is such that the self-mass may be considered to be located at the beam levels and the beams may be presumed to be rigid. The self-mass (m) at each beam level and column stifnesses (EI)are indicated on the figure, where E is the modulus of elasticity and I is the second moment of area. Determine the natural circular frequencies and natural modes of vibrations of the frame and provide sketches of these.
(i) Use the GOAL SEEK tool in MS EXCEL to solve the following equation and determine the TWO roots of this equation between 0 X 4 -8x 3 -x 2 -14x+21=0 (ii). Use the SOLVER t
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