These Fourier coefficients are given in Human induced loading of flexible staircases (Bishop, Willford & Pumphrey, 1995 and Kerr & Bishop, 2001), and depend on the speed of ascent or descent. The peak amplitude of the load in each mode is generally given in terms of Fourier coefficients, αn, which represent the proportion of a person’s weight that is acting at each harmonic of the activity frequency. The general approach outlined in Chapter 6 of SCI P354 can be used to determine the dynamic behaviour of the staircase, but clearly the applied forces will be different for people travelling up and down staircases than for walking across floors, and acceptable levels of vibration also differ.Applied LoadsIn P354, the response is determined from the modal properties of the staircase (frequencies, modal masses and mode shapes) and the frequency and ampli- tude of the applied vertical load.
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