Collapse modes of concrete reinforced square bridge piers under vehicle collision
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School of Rail Transportation, Soochow University, Suzhou, China
School of Architectural Engineering, Tongling University, Tongling, China
Cheng Li   

School of Rail Transportation, Soochow University, China
Submission date: 2021-08-08
Final revision date: 2022-04-12
Acceptance date: 2022-04-19
Online publication date: 2022-06-12
Publication date: 2022-07-30
Journal of Theoretical and Applied Mechanics 2022;60(3):375–384
In the field of engineering protection, there is a structural disaster named heavy vehicles impacting column structures. When a heavy truck collides with a reinforced concrete (RC) column at a high velocity, a large impact force generated makes perhaps the column fail and even collapse. Therefore, it is necessary to study the dynamic characteristics during such a disaster, which can provide some reference for structural design, optimization and protection. The RC column impacted by a vehicle could be simplified as a beam fixed at the bottom loaded by a concentrated force, whose deformation is controlled by shearing and bending. In the present work, the ultimate static forces corresponding to shearing and bending collapse are proposed based on theoretical analyses. The model validation is performed using the finite element approach and the theoretical analytical results are in good agreement with the finite element simulation results, which validates the present analytical model. Three cases are simulated by utilizing finite element code ABAQUS, which reveals that the approximate plateau collapse force keeps a long stage beyond the peak failure one. In addition, three collapse modes are observed based on the static force and deformation analysis, validating the present framework which can be used for routine pier design. The work can be extended to estimate collapse modes of building columns under a vehicle collision.
Abdelkarim O.I., ElGawady M.A., 2016, Performance of hollow-core FRP-concrete-steel bridge columns subjected to vehicle collision, Engineering Structures, 123, 517-531.
Abdelkarim O., ElGawady M.A., 2017, Performance of bridge piers under vehicle collision, Engineering Structures, 140, 337-352.
Auyeung S., Alipour A., Saini D., 2019, Performance-based design of bridge piers under vehicle collision, Engineering Structures, 191, 752-765.
Buth C.E., Brackin M.S., Williams W.F., Fry G.T., 2011, Collision loads on bridge piers: phase 2, Report of Guidelines for Designing Bridge Piers and Abutments for Vehicle Collisions, Texas Transportation Institute, Austin, TX, USA.
Chehaibi K., Mrad C., Nasri R., 2019, Collision modeling of single unit impact absorber for mechanical systems vibration attenuation, Journal of Theoretical and Applied Mechanics, 57, 4, 947-956.
Chen L., El-Tawil S., Xiao Y., 2016, Reduced models for simulating collisions between trucks and bridge piers, Journal of Bridge Engineering, 21, 6, 04016020.
Chen L., Xiao Y., El-Tawil S., 2016, Impact tests of model RC columns by an equivalent truck frame, Journal of Structural Engineering, 142, 5, 04016002.
Ding H., Yang Y., Chen L.Q., Yang S.P., 2014, Vibration of vehicle-pavement coupled system based on a Timoshenko beam on a nonlinear foundation, Journal of Sound and Vibration, 333, 24, 6623-6636.
Do T.V., Pham T.M., Hao H., 2018, Dynamic responses and failure modes of bridge columns under vehicle collision, Engineering Structures, 156, 243-259.
El-Tawil S., Severino E., Fonseca P., 2005, Vehicle collision with bridge piers, Journal of Bridge Engineering, 10, 3, 345-353.
Fujikake K., Li B., Soeun S., 2009, Impact response of reinforced concrete beam and its analytical evaluation, Journal of Structural Engineering, 135, 8, 938-950.
Gholipour G., Zhang C., Mousavi A.A., 2018, Effects of axial load on nonlinear response of RC columns subjected to lateral impact load: ship-pier collision, Engineering Failure Analysis, 91, 397-418.
Harik I.E., Shaaban A.M., Gesund H., Valli G.Y.S., Wang S.T., 1990, United States bridge failures (1951-1988), Journal of Performance of Construction Facilities, 4, 4, 272-277.
Hu W.P., Xu M.B., Song J.R., Gao Q., Deng Z.C., 2021, Coupling dynamic behaviors of flexible stretching hub-beam system, Mechanical Systems and Signal Processing, 151, 107389.
Hu W.P., Zhang C.Q., Deng Z.C., 2020, Vibration and elastic wave propagation in spatial flexible damping panel attached to four special springs, Communications in Nonlinear Science and Numerical Simulation, 84, 105199.
Joshi A.S., Gupta L.M., 2012, A simulation study on quantifying damage in bridge piers subjected to vehicle collisions, International Journal of Advanced Structural Engineering, 4, 8, 1-13.
Kostek R., Aleksandrowicz P., 2020, Identification of the parameters of a vehicle crashing into a round pillar, Journal of Theoretical and Applied Mechanics, 58, 1, 233-245.
Lim C.W., Liew K.M., 1994, A pb-2 Ritz formulation for flexural vibration of shallow cylindrical shells of rectangular planform, Journal of Sound and Vibration, 173, 3, 343-375.
Lim C.W., Liew K.M., 1995, A higher order theory for vibration of shear deformable cylindrical shallow shells, International Journal of Mechanical Sciences, 37, 3, 277-295.
Lim C.W., Liew K.M., Kitipornchai S., 1998, Vibration of cantilevered laminated composite shallow conical shells, International Journal of Solids and Structures, 35, 15, 1695-1707.
Sharma H., Hurlebaus S., Gardoni P., 2009, A probabilistic model for the estimation of shear capacity of bridge piers subjected to dynamic loading, Proceedings of ASCE Structures Congress, Austin, TX, USA.
Sharma H., Hurlebaus S., Gardoni P., 2012, Performance-based response evaluation of reinforced concrete columns subject to vehicle impact, International Journal of Impact Engineering, 43, 52-62.
Suter R., 2005, Reinforcement of bridge piers with FRP sheets to resist vehicle impact, IABSE Symposium Report, Lisbon, Portugal.
Thilakarathna H.M.I., Thambiratnam D.P., Dhanasekar M., Perera N., 2010, Numerical simulation of axially loaded concrete columns under transverse impact and vulnerability assessment, International Journal of Impact Engineering, 37, 11, 1100-1112.
Tsang H.H., Lam N.T.K., 2008, Collapse of reinforced concrete column by vehicle impact, Computer Aided Civil and Infrastructure Engineering, 23, 6, 427-436.
Warzecha M., Michalczyk J., 2020, Calculation of maximal collision force in kinematic chains based on collision force impulse, Journal of Theoretical and Applied Mechanics, 58, 2, 339-349.
Yan J.W., Lai S.K., He L.H., 2019a, Nonlinear dynamic behavior of single-layer graphene under uniformly distributed loads, Composites Part B, 165, 473-490.
Yan J.W., Tong L.H., Luo R.J., Gao D., 2019b, Thickness of monolayer h-BN nanosheet and edge effect on free vibration behaviors, International Journal of Mechanical Sciences, 164, 105163.
Yang X.D., Yang J.H., Qian Y.J., Zhang W., Melnik R.V.N., 2018, Dynamics of a beam with both axial moving and spinning motion: An example of bi-gyroscopic continua, European Journal of Mechanics – A/Solids, 69, 231-237.
Zhou D.Y., Li R.W., Wang J., Guo C.T., 2017, Study on impact behavior and impact force of bridge pier subjected to vehicle collision, Shock and Vibration, 2017, 7085392.