A quantificational calculation method of participating mass of foundation vertical vibration is presented in this paper. Vertical subsoil participating mass of strip and rectangular foundation are preliminarily calculated based on Boussinesq’s solution of subsoil additional stress and equivalent-load method. That is, the subsoil participating mass can be calculated only prescribing the isoline of additional stress. The method is suitable for adopting by corresponding codes for it avoids considering complicated influencing factors of subsoil.

The paper analyzes that hoop coefficients of the concrete-filled steel tube influence on dynamic response of the railway bridge height limit protective frame under impact load by using ANSYS/LS-DYNA. Change hoop coefficient of the concrete-filled steel tube structure by changing steel tube wall thickness. The result shows that with increase of steel tube wall thickness, the average impact force of protective frame will increase and the displacement and deformation will reduce, and protective frame can resist greater impact load. It will provide the reference for design of railway bridge height limit protective frame.

The purpose of high-limit protection rack under railway bridge is to protect railway bridge, and avoid passing vehicles under railway bridge colliding bridge. The paper discusses dynamic response and energy transfer of two different structures by analyzing the internal force, deformation, displacement and energy transfer of the steel tube and concrete-filled steel tube protection racks in collision. The result shows that the displacement of concrete-filled steel tube protection rack is smaller, and it can bear larger impact force and have good effect of energy absorption.

In bid evaluation, the regular grade method on the grade items is that the grade message is composed of average value after throwing away the highest and lowest value, which essence is considered that the expert’s weight is zeroed. It is pointed the processing is too simple and unable to deal with all kinds of problems effectively in the match. Basing on numerical statistics, referencing multiple attributes and comprehensive decision theory, a grade method is put forward to empower expert weight. The method according to the results consistence of the expert grade determines the grade weight, then correcting their grade weight to each specific bid, fully using all grade message coming from the bid evaluation team. Its computation is simple and easy to computer processing. So it has larger practical value. Last, the new method is used in bid evaluation on excavation support project located in Wenchang Garden, Yantai Development Zone. It shows the practical value of this method.

In order to simplify the nonlinear analysis of reinforced concrete, a new study on concrete strength criterion under tension condition is made, and more simple and accurate practical calculation equations are put forward. The results from the equations agree well with the experimental data.