Calculation of monolithic bridges taking into account seismic conditions of Republic of Uzbekistan

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E3S Web of Conferences 365, 02005 (2023)                                   https://doi.org/10.1051/e3sconf/202336502005
CONMECHYDRO - 2022

         Calculation of monolithic bridges taking into
         account seismic conditions of Republic of
         Uzbekistan
         Ulugbek Shermukhamedov*, Anora Karimova, Abdurakhim Abdullaev, and Inobat
         Hikmatova
         Tashkent State Transport University, Tashkent, 100067, Uzbekistan

                      Abstract. To improve the transport infrastructure of the Republic of
                      Uzbekistan, the monolithic structure of bridges and overpasses began to be
                      used. The article presents the calculation of a monolithic overpass on the
                      1083rd km of the M-39 highway passing through Samarkand. The results
                      of the calculation of a monolithic overpass from dynamic load are
                      presented based on the records of two real seismograms for two dangerous
                      earthquakes for the system with spectral composition: Gazli (Uzbekistan)
                      and Manjil (Iran). The calculations show that to ensure guaranteed seismic
                      safety of transport structures, it is necessary to carry out design
                      calculations based on sets of records of earthquakes that occurred, close in
                      dominant frequencies to the characteristics of the construction site. Such a
                      provision should be introduced into the relevant regulatory documents.

         1 Introduction
         The importance of the transport logistics system in today's globalized world economy is
         even greater. Developing a logistics system that meets modern requirements is one of the
         signs of a country's prosperity. Railways, roads, bridges, tunnels, and other artificial
         structures built on these roads can be indicated as the main part of the logistics system.
         Providing citizens of our country with convenient and high-quality transport services and
         ensuring the stable operation of transport and communication systems are important for the
         development of our state. Today, construction is considered a promising plan for the
         development of the economy of the Republic of Uzbekistan. The modern construction
         industry is one of the most prominent national sectors of the economy of the Republic of
         Uzbekistan, showing stable annual growth.
             In a speech at a joint meeting of the chambers of the Oliy Majlis, the President of the
         Republic of Uzbekistan Sh.M. Mirziyoyev "From the Action Strategy to the Development
         Strategy: Priority Tasks Implemented as part of the Development Strategy", a special place
         was given to the construction industry as a locomotive of the economy for the further
         accelerated development of the construction of buildings and artificial structures on
         railways and roads.

         *Corresponding author: ulugbekjuve@mail.ru

   © The Authors, published by EDP Sciences. This is an open access article distributed under the terms of the Creative
   Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0/).
E3S Web of Conferences 365, 02005 (2023)                             https://doi.org/10.1051/e3sconf/202336502005
CONMECHYDRO - 2022

            As part of the implementation of the Decree of the President of the Republic of
        Uzbekistan dated October 4, 2019 No. DP-3309 "On improving the system for organizing
        the construction and operation of road bridges, overpasses, and other artificial structures, "
        dated November 27, 2018 No. DP-4035 "On measures to introduction of advanced foreign
        methods of organizing work in the construction and operation of roads", work is underway
        to build roads and bridges to ensure safe traffic.
            In this regard, in recent years, there has been an increased interest in the world in the
        modernization and expansion of the road network, including bridge structures, using
        modern technologies and designs of bridges and overpasses made of monolithic reinforced
        concrete. Although monolithic construction began its development relatively recently, this
        construction method is considered the most promising at present. Monolithic bridges are
        used in all developed countries of the world. Monolithic construction is a method of
        erecting buildings and structures, in which the main material of the structures is monolithic
        reinforced concrete. The reinforced concrete structure is strong and durable and also has
        high performance. The main feature of monolithic construction is that the place for
        producing material for monolithic bridges and other engineering structures is a construction
        site. The use of monolithic reinforced concrete makes it possible to realize a variety of
        architectural forms and reduce steel consumption by 7-20% and concrete by up to 12%. In
        addition, there are several advantages of this method:
            – construction speed. This method allows you to install supports very quickly and move
        on to the next stage of construction;
            – reliability. A monolithic reinforced concrete structure, made in strict accordance with
        the technology, has increased strength and resistance to design loads;
            – price. Because the technological process of monolithic construction is quite fast and
        economical in terms of resources, the cost of work on this technology is much lower than
        that of possible analogs;
            – it is possible to create complex geometric shapes, i.e., many construction companies
        are convinced that superstructures made of prestressed monolithic reinforced concrete,
        along with undeniable technical and economic advantages, also have aesthetic appeal. And
        this is especially important for a city world-famous for its beauty.
            To date, to improve the transport infrastructure of the Republic of Uzbekistan, they
        began to use the monolithic structure of bridges and overpasses. One of the clearest
        examples of this is the new overpass, which is being built on the 1083rd km of the M-39
        highway passing through the city of Samarkand, which is being built by the Kuprikkurilish
        Trust UE, which is a structural subdivision of Uzbekistan Temir Yollari JSC. The total
        length of the overpass is 110 meters, and the width is 28.9 meters. The overpass will be
        divided into 3 lanes on each side with a width of 3.5 meters.
            Another example is the construction in Tashkent of a six-lane highway and three
        overpasses that connect the Sergeli district with the central part of the city [1]. The overpass
        construction, which shortly will become another excellent example of the creativity of
        architecture, is carried out based on the latest technologies following international
        standards.
            It is known that the territory of Central Asia, especially Uzbekistan, is a seismically
        active zone. As a result, the design and construction of bridges, overpasses, and overpasses
        must be subject to high requirements. In this regard, it is of interest to develop methods and
        software for calculating bridges and overpasses for the effect of earthquakes based on the
        available seismic records [2, 3]. Seismic isolating devices are used to dampen vibrations
        under seismic impacts [3].
            Currently, in Uzbekistan, for the design of earthquake-resistant structures, there are
        current standards KMK 2.01.03-19, and for transport facilities - ShNK 2.01.20-16
        "Construction of transport structures in seismic areas". However, in the section of the new

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E3S Web of Conferences 365, 02005 (2023)                            https://doi.org/10.1051/e3sconf/202336502005
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        ShNK 2.01.20-16 concerning bridges and overpasses, there are practically no issues of
        special seismic protection in the calculations of bridges for seismic effects.
            Carrying out calculations based on the available real records of seismograms [4],
        recorded during strong earthquakes and stored in well-known databases in Europe and the
        USA, makes it possible to study the behavior of the structure in real-time, as well as to
        evaluate the strength of the elements of calculated bridges and overpasses. This approach
        will ensure the reliability of bridges and overpasses under seismic effects that have a certain
        intensity at the construction site.

        2 Methods
        More than twenty monographs have been published on the issues of seismic isolation of
        buildings and bridge structures. The classification of seismic isolation devices is given by
        scientists and specialists V.A. Verkholin [5], A.M. Uzdin and T.A. Sandovich [6], G.S.
        Shestoperov [7], R. Skinner, W. Robinson, and G. Mtsverri [8] and other authors. In [9], the
        issues of seismic isolation and seismic damping of bridges, considering the features of
        seismic vibrations of bridges, assessing seismic loads, and setting the design impact and
        coefficients of seismic and moving loads combinations are considered.
            The three-span reinforced concrete monolithic overpass, 110 m long and 10.5 m wide,
        has a variable thickness along the overpass. The overpass design is divided into finite
        elements, taking into account the change in height along the span length. The finite element
        models axial tension-compression, bending about axes perpendicular to the longitudinal
        axis of the overpass, and torsion about the longitudinal axis [10, 11]. The span structure of
        the overpass is made by a continuous monolithic reinforced concrete design scheme of 33m
        + 42m + 33m of individual design. On the facade, the superstructure is made with a slab of
        variable height - 1.3 m in the span and 2.3 m above the support.
            Bridge structures consist of many elements, the most important of which are supports
        and supporting parts [12]. The support and supporting parts are the bridge structure's most
        vulnerable elements; therefore, seismic isolating devices, particularly rubber-metal ones,
        are used for the supporting part. The supporting part is a seismic insulating rubber-metal
        device. Due to low shear rigidity, it allows the span to move in the longitudinal direction in
        the range from 0.1 m to 0.35 m, depending on the models used. The vertical stiffness of the
        supporting part is 5.908x109 H/m; the horizontal stiffness is 4.72x106 H/m. The bearing
        part is modeled as a finite element operating in tension/compression, shear in two
        directions, and torsion. Intermediate supports have dimensions: height of 5.85 m, width
        along the facade - 2 m, and in the lateral direction, it has a variable height from 5 m to 8.4
        m. In this calculation, we assume their movement is equal to the movement of the base
        during an earthquake. The material of all structures is concrete of class B35 in strength,
        with specific gravity γ = 25000 N/m3, elastic modulus E = 35200 MPa, and Poisson's ratio
         = 0.2.
            The seismicity of the territory of Samarkand, according to the map of seismic
        microzoning made by the Institute of Seismology in 1980, is estimated at 9 and 8 points.
        The site of the projected construction is located in the 8-point zone.
            Following Table 1.1 of KMK 2.01.03-96 within site in the upper 10-meter thickness,
        counting from the base of the foundations, soils of the II category in terms of seismic
        properties occur - loams with a porosity coefficient e
E3S Web of Conferences 365, 02005 (2023)                              https://doi.org/10.1051/e3sconf/202336502005
CONMECHYDRO - 2022

        Fig. 1. Scheme of a monolithic overpass passing at 1083 km of the M-39 highway

        Fig. 2. General view of the intermediate support

            In [13-15], studies were conducted in detail on the method of calculating damped
        systems; the effectiveness of using the mass damper setting to reduce damage after strong
        earthquakes was obtained.
            Recently, seismograms of earthquake records have been taken as seismic impacts [16,
        17]. It is interesting to develop methods and software for calculating bridges and overpasses
        for earthquake impacts based on the available seismic records.

        3 Results and Discussions
        The impact is set in the form of a series of seismogram records in three directions with
        amplitude adjustment for different intensities. The equation of motion of the structure after
        applying the discretization by the finite element method is reduced to the form

                            []{̈ } + ƞ[]{̇ } + [ ]{} = { },                   (1)

            with initial conditions from the static solution of the problem

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E3S Web of Conferences 365, 02005 (2023)                                    https://doi.org/10.1051/e3sconf/202336502005
CONMECHYDRO - 2022

                      {( )}      = [(0)],   ( ̇ )   
                                                              = {̇ (0)},                    (2)

        where {u(t)} is the vector of absolute displacements of the nodal points of the finite
        element model of the structure; for nonlinear problems, the matrices [M], [C], [K] depend
        on the absolute displacement vector, {P(t)} includes the specified movement soil and
        forces. Ground motion is specified in seismogram records [2, 18-21].
            The seismic action is transmitted to the structure at four points through the supports in
        the form of equal displacements of the supports and the base surface. At the beginning of
        the overpass - the left end of the span is rigidly connected to the abutment, and at the end of
        the overpass - the right end is connected to the abutment with movable bearing parts.
            The article presents the results of calculations of a monolithic overpass from the
        dynamic load based on the records of two real seismograms of dangerous earthquakes:
        Gazli (Uzbekistan) and Manjil (Iran).
            Gazli (Uzbekistan) earthquake dated May 17, 1976, more than 9 points on the MSK-64
        scale, maximum acceleration, velocity, and displacement in the direction of seismic wave
        propagation: 7.22 m/s2; 0.62 m/s; 0.18 m. Vertical acceleration 14 m/s2.
            Manjil (Iran) earthquake of 06/20/1990, 8 points on the MSK-64 scale, maximum
        acceleration, speed, and displacement in the direction of seismic wave propagation: 1.93
        m/s2; 0.21 m/s; 0.064 m
            The calculation was carried out by the finite element method according to the beam
        theory; the Newmark method was used for the time variable. The need to carry out
        calculations for the seismic resistance of unique structures, as well as structures with
        seismic isolating devices using records of accelerograms and seismograms (displacements)
        of the soil surface, required the modification of the SHARK software (prof. I. Mirzaev
        created the software package), which meets the modern needs of researchers and designers
        in the field of construction in seismic regions [2].
            For discretization, the overpass was divided into 220 finite elements, taking into
        account the operation of each type of finite element. The calculations were carried out using
        an implicit scheme with a time step of 0.005 s. The energy loss is taken into account in the
        Rayleigh form.
            Earthquake records are taken from the European Strong Earthquake Database [21, 22].
        On fig. 3 shows the longitudinal movement of the right end of the overpass (black line),
        which is free from longitudinal stress, and the movement of the corresponding abutment
        from active soil pressure (red line) during the Gazli earthquake.
            It can be seen from the graph that the maximum displacement in a seismic wave
        propagating along the longitudinal axis of the overpass is 0.18 m. The seismic wave
        propagation velocity is 500 m/s. In this case, the maximum difference between
        displacements is 0.07 m, and at a seismic wave propagation velocity of 250 m/s, this
        displacement difference will be 0.14 m. This is due to the difference in wave propagation
        velocities in the monolithic structure of the overpass and in the ground, which leads to a
        delay in the arrival of the wave along the ground. It follows that the bearing part of the right
        end of the overpass does not allow the span to fall from the abutment because the maximum
        displacement of the rubber-metal bearing part is 0.2 m.

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E3S Web of Conferences 365, 02005 (2023)                                  https://doi.org/10.1051/e3sconf/202336502005
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        Fig. 3. Change in time of the longitudinal movement of the right end of the overpass span and base
        (Gazli earthquake)

           For comparison, the behavior of the overpass structure was also calculated during the
        Manzhil earthquake. In this case, the maximum difference between displacements is 0.03
        m, and at a seismic wave propagation velocity of 250 m/s, this displacement difference will
        be 0.06 m.
           On fig. 4 shows a graph of the change in time of the vertical movement of the overpass
        span in the middle of the first and second spans during the Gazli earthquake.

        Fig. 4. Change in time of the vertical movement of the overpass span in the middle of the first (black
        line) and second (red line) spans (Gazli earthquake)

           Here, the vertical displacements of the monolithic overpass are indicated at a distance of
        16.5 m from the left end with a black line and at a distance of 54 m from the left end with a
        red line. The maximum displacement is 0.21 m, which is associated with a large vertical

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E3S Web of Conferences 365, 02005 (2023)                                   https://doi.org/10.1051/e3sconf/202336502005
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        acceleration value in the earthquake record, equal to 14 m/s 2. In the middle of a large span,
        high-frequency oscillations are observed. A separate comparison of the graphs of vertical
        displacements of the upper part of the support and the corresponding point of the
        monolithic overpass showed that the vertical component of the seismic wave tosses the
        monolithic part of the overpass over the support by fractions of millimeters [23]. In this
        case, the bearing parts work in tension, which may cause high-frequency oscillations.
            Figure 5 and figure 6 show the changes in time of the vertical shear force and bending
        moment relative to the horizontal axis of the overpass span above the first intermediate
        support during the Gazli earthquake.
            On figure 5 shows the change in time of the vertical shear force of a monolithic
        overpass at a distance of 33 m from the left end, i.e., above the support. The maximum
        absolute value is 13.3 MN; the static value is - 6.7 MN.
            Change in time of the bending moment relative to the horizontal axis of the cross-
        section of a monolithic overpass at a distance of 33 m from the left end, i.e., above the
        support, shown in figure 6. Maximum value 79.76 MNm, static value 46.89 MNm.

        Fig. 5. Change in time of the vertical shearing force of the overpass span above the first intermediate
        support (Gazli earthquake)

            Change in time of the bending moment relative to the horizontal axis of the cross-
        section of a monolithic overpass at a distance of 33 m from the left end, i.e., above the
        support, shown in fig. 6. Maximum value 79.76 MNm, static value 46.89 MNm.

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E3S Web of Conferences 365, 02005 (2023)                                   https://doi.org/10.1051/e3sconf/202336502005
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        Fig. 6. Change in time of the bending moment relative to the horizontal axis of the overpass span
        above the first intermediate support (Gazli earthquake)

            Figure 7 shows the change in time of the longitudinal stress at a distance of 54 m from
        the left end of the overpass span at the midpoint along the width under the upper surface
        (black line) and above the lower surface (red line) during the Gazli earthquake. This
        seismic wave causes the stress to increase more than twice the static stress value. After the
        passage of a seismic wave, the voltage quickly returns to a static state.

        Fig. 7. Change in time of the longitudinal stress at a distance of 54 m from the left end of the overpass
        span (Gazli earthquake)

            On figure 8 shows the change in the vertical shear force along the overpass at different
        times (t=14.26 s; t=15.77 s; t=18.25 s; t=20.45 s) during the Gazli earthquake. In this
        figure, you can see the oscillatory change in the shear force during an earthquake.

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E3S Web of Conferences 365, 02005 (2023)                                   https://doi.org/10.1051/e3sconf/202336502005
CONMECHYDRO - 2022

        Fig. 8. Change in the vertical shear force along the overpass at different points in time (Gazli
        earthquake)

           On figure 9 shows the change in the bending moment relative to the horizontal axis
        along the overpass at different times (t=14.26 s; t=15.77 s; t=18.25 s; t=20.45 s) during the
        Gazli earthquake. In this figure, you can also see the oscillatory change in the bending
        moment.

        Fig. 9. Change of the bending moment relative to the horizontal axis along the overpass at different
        times (Gazli earthquake)

        4 Conclusion
        The current regulatory documents on the earthquake-resistant construction of transport
        facilities do not reflect the seismic resistance of structures, taking into account multi-level
        design. Unfortunately, in transport construction, domestic design institutes do not use
        records of real earthquakes in the calculations of bridges for seismic resistance and are

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E3S Web of Conferences 365, 02005 (2023)                              https://doi.org/10.1051/e3sconf/202336502005
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        limited to linear-spectral calculations due to the lack of information about the situational
        seismicity of the territory of Uzbekistan. In this regard, to ensure the guaranteed seismic
        safety of transport facilities, it is required to carry out design calculations on sets of records
        of occurred earthquakes that are close in dominant frequencies to the characteristics of the
        construction site. This provision must be included in the relevant regulatory documents.

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