Theoretical And Experimental Studies Of Sidewise Buckling Of Circular Arch Under Concentrated Force

It has been widely used in modern structural engineering because of arch’ssleek. It would occur in-plane buckling and lateral buckling in loading action. Forlarge and medium span rib arch bridge, bearing capacity of lateral buckling is farbelow the in-plane buckling. So it’s particularly important to obtain its lateralbuckling load. The main subjects of study for this article are hinged andconsolidation arc arch rib under the concentrated force. Using method of theoreticdeduces, numerical and experimental Investigations, it finishes the work as followsprimarily:(1)It firstly derived analytical solution of lateral critical load of the hinged archrib under the concentrated force. It efficiently simulated the deformation features ofsidewise buckling. It constructed deformation energy and exogenic force energy ofthe hinged arch under the concentrated force based on energy method. And it derivedthe analytical solution of lateral critical load of the hinged arch rib. By testingdifferent span, different cross sections and different cross-sectional dimension of thehinged arch, using the finite element numerical analysis method, it systematicallyverified the correctness of the analytical solution.(2) It firstly derived analytical solution of lateral critical load of a consolidationarch under the concentrated force. Using mathematical methods, it focused ondeformation characteristics of a consolidation arch under the concentrated force, andfirstly derived external force acting form of energy with the consolidation arch underthe concentrated force. According to the potential energy principle of stationary,making the first-order variation of the total potential energy into zero, so as to obtaincritical load analytical solution, it systematically verified the correctness of theanalytical solution, the biggest error of6.84%.(3) It compared Roll critical load analytical solution of the hinged arch and theconsolidation arch under the concentrated force. At the same size and span of arches,the analytical solution of the consolidation Circular Arches2.5to3times larger thanthe hinged circular arch(4) It established experimental model checking loads the concentrated forceconsolidation arch roll street analytical solution, by comparing the analysis found that the results meet the requirements. Experimental model to the axis of the arch arc lineempty thick-walled steel pipe for the study, the consolidation of the two arch of the foot, the basefor the reinforced concrete structure. Concentrated force loading point in the vault, and loadedwith lateral loading point at the same time. Arranged in the arch rib the six monitoringcross-section, set in the corresponding position strain gauge rosette with displacement meter.Collect relevant data and analysis and, ultimately, under concentrated force consolidationCircular Arches roll instability critical load, and with the analytical solution, it was found by thegeometry and material nonlinearity due to the experimental model, the ratio roll critical loadanalytical solution is15%smaller.