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A single-storey frame has a lumped mass of 40,000 kg and a lateral stiffness of 16,000 kN/m. Its natural period is nearest to

  • A.0.31 s
  • B.0.10 s
  • C.0.63 s
  • D.2.50 s

Answer: A

With \( \omega = \sqrt{k/m} = \sqrt{16{,}000{,}000/40{,}000} = 20 \) rad/s, the period is \( T = 2\pi/\omega = 0.314 \) s. Note that the stiffness must be converted from kN/m to N/m before the root is taken, which is where most slips occur.

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