Study on Tension Interval Estimation of Bridge Suspenders with Complex Boundary Conditions

Abstract

For the complex boundary conditions(BCs), the tension estimate formulas of bridge suspenders aren’t directly given as their frequency functions closely related with the boundary condition. Based on three typical BCs, hinged-hinged BCs(HH), clamped-hinged BCs(CH) and clamped-clamped BCs (CC), three typical regions are reduced, namely, I typical regions: HH-CH, II typical regions: HH-CC and III typical regions: CH-CC. Further, based on Rayleigh theorem, the frequency value of the hinged-hinged boundary conditions are lower than that of the clamped-hinged boundary conditions, the clamped-hinged conditions lower than the clamped-clamped conditions for the same order frequency. Making full use of the united tension formulas of bridge suspenders for three typical BCs [1], the tension of bridge suspenders for the complex BCs can be roughly estimated by the interval estimation, I typical regions: JG JJ T  T~  T , II typical regions: GG JJ T  T~  T and III typical regions: GG JG T  T~  T . In the practical bridge engineering, the tension estimation can be firstly calculated by this method in order to check whether the tension test is correct.