Find the modal frequencies and mode shapes

Reference no: EM13508499

m₁ = 0.70 kip.sec²/ft I₁ = 300 in⁴
m₂ - 0.70 kip.sec²/ft I₂ 300 in*
m₃- 0.65 kip. sec²/ft I₃ - 280 in⁴
m₄ - 0.55 kip sec²/ft I₄ - 280 in⁴

58_Find the modal frequencies.png

All columns have E = 29,030 ksi and L = 13 ft.

Find the modal frequencies and mode shapes for the frame assuming the columns are fixed at the top and the bottom (i.t , the floors are rigid enough to inhibit rotation).
Sketch out the first and third mode shape. Next to each mode shape, write the period for that mode.
If you relaxed the assumption that the columns were rigidly fixed at the top and bottom, would the modal frequencies increase or decrease? Explain.

Reference no: EM13508499

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