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Table 3 Coefficients of Ï•d for Eq. 15 and vertical response

From: Guidance for footbridge design: a new simplified method for the accurate evaluation of the structural response in serviceability conditions

\(r^{*}_{v,n}\) interval

C1

C2

[0.95,1]

(−50.9×104ζ3+37.2×103ζ2+

0.95

[1,1.05]

−1170ζ+5.05)

1.05

[1.95,2]

(−254.5×103ζ3+18.6×103ζ2+

1.95

[2,2.05]

−585ζ+2.525)

2.05

[i−0.05,i]

(−169.7×103ζ3+12.4×103ζ2+

i−0.05

[i,i+0.05]

−390ζ+1.683)

i+0.05