The Calculation Method Of Stability Coefficient For High Piers And Large Span Continuous Rigid Frame Bridge

High piers and large span continuous rigid frame bridge is widely used for its uniqueadvantages, And because of the flexibility of the continuous rigid frame bridge that itsstability is more serious, however, because of the complexity of the bridge stage structure,there is not analytical solution to calculate long span continuous rigid frame bridges.In this article, firstly calculate the coefficient formula about the largest of the cantileverstage, and get the objective function for the quadratic approximation formula of bridge stage.And then in the basis of the objective function we get the stability factor synthesis stagecalculation formula.In the first plate, the structure of the nonlinear theory and the stability theory are mainlydiscussed in this paper, nonlinear theory can be divided into geometry nonlinearity andmaterial nonlinearity. Lastly the two kinds of structure stability theory that bifurcation pointinstability and extreme value point instability and the finite element method are discussed inthis paper, this paper also deduces the stability coefficient about the largest of t the cantileverstage, to provide objective function for the later fitting, to provides theory basis for The latercalculation.Then to expand as the foundation of the eight bridge, by changing the height andcross-section of the pier, we get a series of samples of the different span, different pier heightand different pier cross-section. Then we use Matlab to analyze and fit and get t stabilitycoefficient calculation formula of he three span continuous rigid. In the same way we get fourspan and five span continuous rigid stability coefficient, then summing up the above rules toget more spans continuous rigid stability coefficient calculation formula.Then this article is to fit the stable coefficient of the both limbs, firstly we calculate theeffect-ion of the distance on the stability of both limbs, to reduce the parameters, the fittingmethod is similar with the single limb. lastly this article is to fit the stable coefficient of theboth limbs of continuous rigid frame with one beam, Firstly we calculate influence of thenumber of beam to the coefficient of stability, Then we select one beam to fit, the methods issimilar with the single limb, to provides a method of the stability coefficient calculation forthe bridge with two beams and three beams.