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Dynamics of structures

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Reference no: EM13869925

Problem: Dynamics of Structures

You will be analyzing the frame below,which has the same properties as the previous homework:

  • m1 = 0.70 kip·sec2/ft I1 = 300 in4
  • m2 = 0.70 kip·sec2/ft I2 = 300 in4
  • m3 = 0.65 kip·sec2/ft I3 = 280 in4
  • m4 = 0.55 kip·sec2/ft I4 = 280 in4

1307_Dynamics of Structures.jpg

All columns have E = 29,000 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.e., 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: EM13869925

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