The effect of variable cross-section of prestressed beams on the load-bearing capacity of the structure
DOI:
https://doi.org/10.15276/opu.2.66.2022.02Keywords:
span beams, prestressing, bridge deflection, deformation state, static stiffnessAbstract
This paper examines issues related to increasing the load-bearing capacity of span beams of bridge-type cranes by the method of prestressing. A new mathematical model of a bridge crane with prestressed beams has been developed, which is based on the general theory of the stability of elastic systems and allows taking into account the real conditions of the construction of span structures. In this work, the equations of the deflection curve of this beam were obtained, which allow us to consider and analyze the influence of eccentric longitudinal forces on the stressed-deformed state of the span beam, taking into account the variable moment of inertia of its cross-section along the length of the span with a dangerous load combination. The work provides a more detailed calculation coefficient for the critical longitudinal force, which depends on the ratios of the moments of inertia of the cross sections of the span main beam, as well as the length of the support sections of the beam to the length of the beam itself. Based on the results of the obtained equations, a study of the static stiffness of the main beam was conducted depending on the ratio of longitudinal and transverse forces acting on the beam. The analysis of the obtained results revealed the recommended ratio of the lengths of the supporting and middle parts of the bridge, taking into account their geometric cross-section characteristics. The results obtained in this work can be used in the future for the modernization of cranes in order to increase their load capacity, extend their service life without dismantling, as well as for the improvement of existing structures and engineering calculation methods both at the stages of their design and in the conditions of real operation.
Downloads
References
Chebrovsky A., Savva Yu. Review of the state of prestressed metal beams and the results of the study of operating crane beams when operating on a moving load. PNU Bulletin. 2013. 4 (31). 383–402.
Flexural behavior of ungrouted post-tensioned concrete masonry beams with unbonded bars / J.M. Garcia, R.L. Bonett, A.E. Schultz, J. Carrillo, C. Ledezma. Constr. Build. Mater. 2019. 203. 210–221.
Martovytsky L., Glushko V. Design of metal structures. Krugozir, Ukraine, 2016. 418.
Flexural Behavior of a 30-Meter Full-Scale Simply Supported Prestressed Concrete Box Girder / W. Jianqun, T. Shenghua, H Zheng, C. Zhou, M. Zhu. Appl. Sci. 2020. 10(9). 30–76.
Bonopera M., Chang K., Lee, Zheng-Kuan. State-of-the-Art Review on Determining Prestress Losses in Prestressed Concrete Girders. Appl. Sci. 2020. 10. 72–57.
Tkachev A., Tkachev О. The influence of the nature of the action of the external load on the stiffness of the main beams of bridge cranes. Lifting and transport equipment. 2020. № 1 (62). 51–60.
Zhegulsky V., Mironov I., Lukashuk O. Design and calculation of crane metal structures. Ural Publishing House University. 2019.
Tkachov А., Tkachov О., Sydorenko I. Improvement of the deformed state of flight beams of bridge cranes. Faculty of Architecture, Civil Engineering and Applied Arts. 2020. 2. 4. 118–125.
Naidenko E., Bondar O., Boiko A., Fomin O., Turmanidze R. Control Optimization of the Swing Mechanism. In: Tonkonogyi V., Ivanov V., Trojanowska J., Oborskyi G., Pavlenko I. (eds) Advanced Manufacturing Processes III. InterPartner 2021. Lecture Notes in Mechanical Engineering. Springer, Cham, 2022.
Iodchik A. Deflections of a steel beam, pre-stressed by bending of the I-beam. Bulletin of VSSTU. 2013. 5(44). 45–52.
Zou J., Huang Y., Feng W., Chen Y., Huang Y. Experimental study on flexural behavior of concrete Tbeams strengthened with externally prestressed tendons / J. Zou, Y. Huang, W. Feng, Y. Chen, Y.Huang Mathematical Biosciences and Engineering. 2019. Vol. 16, Issue 6. 6962–6974.
Tkachev A., Tkachev О., Fomin O., Bondar O., Naidenko E. Influence of Horizontal Inertial Loads on the Operation of Overhead Crane Girders. Advances in Design, Simulation and Manufacturing V Proceedings of the 5th International Conference on Design, Simulation, Manufacturing: The Innovation Exchange, DSVIE-2022, June 7-10, Poznan, Poland, Volume 2: Mechanical and Chemical Engineering, Odessa, Ukraine, pp. 47–54, 2022.
Lou T.J., Lopes S.M. R., Lopes A.V. Numerical modeling of externally prestressed steel 436 – concrete composite beams. J. Constr. Steel Res. 2016. 121. 229–236.
Qu X., Xu G., Fan X., Bi X. Intelligent optimization methods for the design of an overhead traveling crane. Chinese Journal of Mechanical Engineering. 2015. 28(1). 187–196.
Liu J., Wang T. Deflection Calculation on Reinforced Concrete Beams Strengthened by Externally Prestressing Transverse Tensioning Method. Advanced Materials Research. 2013. 71, 430–436.
Nie J., Tao M., Cai C., Li S. Deformation Analysis of Prestressed Continuous Steel-Concrete Composite Beams. Journal of Structural Engineering. 2009. 135 (11). 94–102.
Overhead Crane Camber Deformation Assessment and Energy Analysis / T. Yifei, L. Lijin, S. Guomin, L. Dongbo, L. Xiangdong. Proceedings of the Institute of Mechanical Engineers. 2014. Part B (6). 52–55.
Tkachev A., Tkachev A.l., Predrag Dasic, Prokipovych I., Kostina M. Static Stiffness of the Crane Bridges under Moving Lood Distributoin. InterPartner-2021, 3rd Grabchenko`s International Conference on Advanced Manufacturing Process, September 7–10, Odessa, Ukraine, p. 42, 2021.
