By M.R. Willford, P. Young
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Extra resources for A Design Guide for Footfall Induced Vibration of Structures
The first stage is to find the modal properties of the first mode of the floor bay, and then either a resonant or an impulsive response is calculated, depending on the frequency of the floor. The effect of higher modes and adjacent spans is then incorporated. The calculation procedures are described below. 8 can be calculated from the flexural rigidities of the slab in the two orthogonal directions (Dx and Dy). The calculation of these rigidities is described in Appendix A for different floor constructions.
8) 8. Repeat this calculation for other footfall rates and find the critical rate that generates the maximum response. 4 below. The response factors due to each harmonic, and the total response factor, are plotted against footfall rate. e. 3. 4 Graph of response factors against walking frequency. g. 2). Subsequent footfalls generate comparable responses and there is no tendency for the response to build up over time, as is the case for resonant response. 3 were derived have been used to calculate effective impulses for footfall on structures.
5. 21. 65Hz (see eq. 5 (see eq. 65 Real and Imag. Responses (m/s2) (Eqs. 00E+00 Total (Eq. 97E-02 Magnitude of response (m/s ) (Eq. 38E-03 Base curve acceleration (m/s2) Response factor (Eq. 55 Hz (Eq. 54 Real and Imag. Responses (m/s2) (Eqs. 88E-03 Total (Eq. 79E-04 Magnitude of response (m/s ) (Eq. 60E-03 Base curve acceleration (m/s2) Response factor (Eq. 2 Hz (Eq. 4 Response factor Response at the centre of the span for all walking frequencies. 5. 5 – will be considered here. 6. Modal properties and responses are calculated for both the as-tested condition and the finished state.