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The empirical formula IS 1893 gives for the approximate fundamental period of a reinforced concrete moment resisting frame without infill is

  • A.\( 0.085h^{0.75} \) which the code reserves for steel frames instead
  • B.\( 2\pi\sqrt{m/k} \) which requires the mass and stiffness to be known
  • C.\( 0.075h^{0.75} \)
  • D.\( 0.09h/\sqrt{d} \) with the plan dimension in the denominator

Answer: C

Height stands in for the mass and stiffness that are not yet known when a design begins, and the exponent of three quarters reflects how period grows more slowly than height. The alternative form with the plan dimension applies where brick infill panels stiffen the frame.

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