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Design spectra are smoothed chiefly because

  • A.response spectra cannot be computed accurately
  • B.the exact period of a structure is never known precisely
  • C.smooth curves are easier to print in a code
  • D.damping cannot be estimated for real structures

Answer: B

Correct answer: the exact period of a structure is never known precisely

A recorded spectrum is jagged, with sharp peaks and troughs whose positions depend on the particular record. A real building’s period is uncertain by a substantial margin - non-structural stiffness, cracking and the actual mass all shift it - so designing on a sharp trough would be unsafe. Smoothing and enveloping ensure the design ordinate is adequate wherever the true period turns out to lie.

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