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The analysis of an isolated building is iterative because

  • A.the isolated period is independent of the bearing properties
  • B.the design spectrum itself has to be recomputed for every iteration of the analysis
  • C.the effective stiffness and damping both depend on the displacement found
  • D.the mass of the superstructure changes during the shaking

Answer: C

An assumed displacement gives a stiffness and damping, which give a period and hence a new displacement, and the cycle is repeated until it closes. Two or three iterations usually suffice, and convergence is rapid because the dependence is gentle.

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