RU217977U1 - TOWER WELDED TABLE WITH A SECTOR SHELTER - Google Patents

Abstract

The utility model relates to metal sheet piles and sheet piles made from them and can be used in hydraulic engineering in the construction of sea and river berths, as well as in construction in the construction of various purpose retaining walls in the ground, which do not require additional reinforcement. The technical result of the proposed solution is a sheet pile, which has a high elastic moment, is compact and convenient for transportation and storage in the disassembled state, has no problems with ovality, does not require the use of reinforced frames, concreting "plugs", disposal of soil taken out of the pipe, it is possible to use a submersible lower power equipment, availability of sheet pile materials. Said technical result is achieved due to the fact that a sheet pile of a trough-shaped profile is claimed, which is a segment of a cylindrical metal pipe obtained by its longitudinal section, having elements of a lock connection, characterized in that the side walls of the sheet pile are formed by metal sheets, to the end part of which is welded from one edge a shelf, which is a curved metal sheet, and the elements of the interlock are welded to the other end edge of the metal sheets.

Description

The utility model relates to metal sheet piles and sheet piles made from them and can be used in hydraulic engineering in the construction of sea and river berths, as well as in construction in the construction of various purpose retaining walls in the ground, which do not require additional reinforcement.

The construction of sheet pile walls is quite a capital-intensive undertaking. Each project is individual and often uses its own specific sheet pile. Everyone who counts money should strive to minimize costs everywhere, and even more so should minimize the sheet pile, which is always expensive. Therefore, such a huge number of types of sheet pile walls are produced in the world. Every year more efficient sheet piles with new forms and technologies for their production appear.

More than 406 standard sizes of hot-smoked trough sheet piles are produced in the world. The utilization efficiency (Keff=W/M) of the proposed sheet piles is rather low, especially when compared to various welded combined sheet pile systems.

Thus, among the world's leading manufacturer of hot-rolled sheet piles, Arcelor Mittal, among about a hundred of its classical sheet piles, only three sheet piles slightly overcame the Keff≥21 unit limit.

The only Russian hot-rolled sheet pile Larsen L5-UM (see https://ecotorgm.ru/product/l5-um) has a rather low efficiency factor of 15.6 units.

For comparison: in widely used in Russia welded sheet piles ShTS, the maximum efficiency coefficient reaches 43 units. The Russian sector welded sheet piles RSHS2-ST have twice as much (up to 86 units).

Another disadvantage of hot-rolled sheet piles is the relatively low elastic moment, which does not even reach 6000 cm ³ /m.

And there are objective reasons for this: existing beam mills, on which hot-rolled sheet piles are rolled, do not allow (technologically and economically) to make the required changes to roll the necessary hot-rolled sheet piles.

The corner elements of the SShK sheet piles are thought out. Sheet piles SSHK can always be produced with the necessary parameters to order. But the maximum elastic moment of SSHK sheet piles reaches only 12000 cm ³ /m.

The use of SSHST-N with reinforcing pads inside the pipe sector makes it possible to achieve such elastic moments (up to 70,000 cm ³ /m) that cannot be achieved with currently existing sheet pile walls of the ShTS (GOST R 52664-2010 Welded tubular sheet pile).

However, the most important aspect of the advantage of sector sheet piles with an overlay inside the pipe sector is that, unlike ShTS, sector sheet pile walls with overlays (SSHST-N) are open systems, they do not have a cavity, therefore, there is no need to equip concrete plugs with a reinforced frame , fill the cavity with special imported soil, solve the problem of burying the extracted soil. All this, in addition to being expensive, requires a lot of time, which, for example, is critical for the conditions of the Arctic.

Since sector sheet pile walls with reinforcing strips are non-closed systems, for their immersion (even with sectors of large diameters) it is possible to use a less powerful technique than is required for equal-strength walls of the STS.

Transportation of compactly packed SSHST-N turns out to be much cheaper than transportation of STS, since there is no “air transportation”, which is typical for ready-made elements of STS sheet piles, which cannot be stacked compactly with each other.

There is no out-of-roundness problem that can be present in PCS.

This advantage of SSHST-N, described in the closest analogue (patent RU212082U, publication: 2022.07.05), is typical for a pile for the construction of a sinusoidal sheet pile wall, which is a segment of a cylindrical metal pipe obtained by its longitudinal section, where elements are fixed on the side edges of the body interlocking joint, characterized in that in the middle part of the pile, on its inner side, an overlay is welded, which is a segment of a cylindrical metal pipe obtained by a longitudinal cut of the same diameter as that used in the pile, but having a shorter length than the pile segment.

The prototype is characterized by a simplified process of building a sinusoidal sheet piling wall that does not require additional reinforcement, the problem of changing the diameter of piles under loads (the problem of ovality) is reduced, and the cost of materials is reduced during the construction of a sheet piling wall.

The problem of the prototype is a rather limited shape of the sheet pile wall, linked to the round shape of the pipe, which makes it possible to build only a sinusoidal sheet pile wall.

In addition, the transportation of pipes is quite a difficult task and the storage and transportation of pipes is less efficient than individual sheet pile elements.

SSHST-N piles require the use of high-power submersible equipment due to the presence of pads that do not adhere closely to the pile body (there is a gap between the pile and the pipe). This circumstance leads to a closed form of connection between the sector shelf and the lining, which complicates immersion.

In this regard, the authors of this solution set the task of finding an alternative variant of the SSHST-N piles, which has the same strength characteristics, but at the same time would be more convenient during transportation and more technologically advanced during installation.

The technical result of the claimed solution is to provide a high elastic moment of the sheet pile.

Said technical result is achieved due to the fact that a sheet pile of a trough-shaped profile is claimed, which is a segment of a cylindrical metal pipe obtained by its longitudinal section, having elements of a lock connection, characterized in that the side walls of the sheet pile are formed by metal sheets, to the end part of which is welded from one edge a shelf, which is a curved metal sheet, and the elements of the interlock are welded to the other end edge of the metal sheets.

The curved metal sheet of the shelf can be obtained by longitudinally cutting a segment of a cylindrical metal pipe.

Curved shelf metal sheet can be obtained by bending a flat metal sheet in a roll.

Preferably, the connection between the edges of the shelf and the metal sheets is made with an oblique joint.

Preferably, an overlay is welded in the middle part of the shelf from its outer or inner side, which is a segment of a cylindrical metal pipe obtained by a longitudinal cut of the same diameter as that used in the shelf, but having a smaller area than the shelf.

Brief description of the drawings

Figure 1 shows an example of the constituent elements of the tongue according to the claimed solution.

Figure 2 shows an example of the constituent elements of the tongue according to the claimed solution with an external reinforcement patch.

Figure 3 shows an example of the constituent elements of the tongue according to the claimed solution with an internal reinforcement patch.

Figure 4 shows an example of connecting tongues with locks.

Figure 5 shows an example of the formation of a sheet pile wall based on the claimed device.

Figure 6 and Figure 7 show possible options for performing an oblique joint when welding a shelf and side walls.

Figure 8 shows the replacement diagram of Russian pipe sheet piles for solutions of classical sheet piles RSHS-KS.

On the drawings: 1 - metal sheet, 2 - sector shelf, 3 and 4 - locking elements, 5 - fittings for welding, 6 - external lining, 7 - inner lining, h _sys - tongue height, b _sys - tongue width, D _c - shelf diameter, t _c - shelf thickness, t _f - side wall thickness, α - shelf sector angle.

Implementation of the utility model

The claimed solution - trough-shaped sheet pile (see Fig.1), is a segment of a cylindrical metal pipe, obtained by its longitudinal section, having the elements of the castle connection 3 and 4.

What is new is that the side walls of the tongue are formed by metal sheets 1, to the end part of which a shelf 2 is welded from one edge, which is a curved metal sheet.

The curved metal sheet of the shelf can be obtained by longitudinally cutting a segment of a cylindrical metal pipe.

Alternatively, a curved shelf metal sheet can be produced by bending a flat metal sheet in a roll. Bending of sheet metal on rollers occurs by passing a sheet of metal (for example, sheet 1) through the rollers. Gradually shifting them with each pass, they get a bent corner. With this bending method, it is possible to obtain cylindrical surfaces with the desired angle α (see Fig.4). In this case, a sheet of metal can have a thickness of up to 10 mm. For bending, for example, electric rolls RME-2000x10 mm can be used (see https://keepler.ru/product/valczy-elektro-sfe-2000h10-mm/). Thus, if sheets of a shelf up to 10 mm thick can be used to create a tongue, then the same metal sheet 1 can be bent, which is taken under the side walls. If a shelf thickness t _c of more than 10 mm is required, a sector cutout from the pipe is used.

The locking elements 3 and 4 are welded to the other end edge of the metal sheets 1.

The connection of the edges of the shelf 2 and metal sheets 1 can be made with an oblique joint.

It is this design of the sheet pile that provides the claimed results.

The elastic moment is enhanced by such an addition to the structure, when in the middle part of the shelf from the outer (see the example in Fig.2) or its inner side (see the example in Fig.3) an overlay 6 or 7, respectively, is welded, which is a segment obtained by a longitudinal section a cylindrical metal pipe of the same diameter as that used in shelf 1, but having a smaller area than the shelf.

Claimed tongue, as shown in figure 1 is going to welded: elements of locks 3 and 4, metal sheets 1, shelves 2. The joint areas of the elements can be welded on both sides using, for example, reinforcing bars 5 or other known welding method. When using the outer 6 or inner 7 overlays on the shelf 1 of the sheet pile, the overlays 6 and 7 are welded as shown in the examples of Fig.2 and Fig.3, respectively.

An oblique joint when connecting the edges of the shelf 2 and metal sheets 1 can be made in different ways, for example, as shown in Fig.6 or Fig.7. Making the joint oblique provides an increase in the area of contact between the elements of the tongue, which enhances their joint strength at the same thickness of the material, in contrast to a conventional joint with an end cut at a right angle to the surface. In addition, butt-joining parts for soldering elements 1 and 2 will not allow achieving the required results of the elastic moment, since the mechanical strength of the seam in this case is insufficient, due to the fact that the area of the seam of such a joint is equal to or slightly less (due to shrinkage of the solder during cooling) of the area of the transverse sections of connected parts, the metal of which, as a rule, has higher mechanical properties than the material of the solder. In addition, an obstacle to the use of a direct butt weld is the need for more careful fitting of parts before soldering, since the thickness of the sheet t _f is often not equal to the thickness of the pipe t _c if the curved sheet of the shelf is cut sectorally from it. And oblique seam welding (oblique joint) gives good results.

The same type of tongues can be interconnected by locks 3 and 4 as shown in Fig.4. With a plurality of such connections, the sheet piles can form a sheet pile wall as shown in the example of Fig.5.

One of the features of the proposed welded trough sheet piles with a sector flange (hereinafter referred to as RShS-KS sheet piles) is the presence of a sector flange instead of the usual flat shelf, which exists in all classic hot-rolled, cold-rolled and welded trough sheet piles.

The role of the sector flange in RShS-KS sheet piles is played by a pipe sector or a curved metal sheet bent in rollers. The flange sector is uniquely determined by the central angle α, the pipe diameter D _c and the pipe thickness t _c . With the same thicknesses for both flat and sector flanges, the intrinsic elastic moment of the sector flange is always higher than the intrinsic elastic moment of the flat flange.

Undoubtedly, the mass of a sector shelf is always greater than the mass of a flat shelf. But with the same increase in the thickness of both shelves, the intrinsic moments of the sector shelves grow faster (in some cases, by several times) than the intrinsic moments of the flat shelves.

The second feature of the method is the variation of the values of each of the parameters of the RShS-KS sheet pile. By varying the values of each of the parameters of the RShS-KS sheet pile (t _c , t _f , H _sys , D _c , α, b _sys ) for all combinations of their values, it is possible to obtain many possible solutions for the projected RShS-KS trough sheet pile. Each of the listed parameters has its own range and its own step of variation.

A number of constraints have been adopted on some of the input parameters that can be used to control sheet pile design.

For example: t _f ≤ t _c x h _sys ≤ b _sys ; Δt \u003d (t _c -t _f ) ≤ 10

Knowing the features of the object under study, the user can add or change the proposed restrictions.

The input parameters are also the desired (projected) values of the elastic moment W _in and mass per square meter of the wall M _in that should be achieved using this method (all input parameters vary for this purpose).

It is the properties of the sector flange that determine the effectiveness of RShS-KS sheet piles in comparison with solutions of similar equal-strength sheet piles with a flat flange.

And the variation of the parameters allows not to miss the set of parameter values for all their possible combinations, in which the efficiency of the designed sheet pile will be the best.

The used approach of enumeration of all combinations of values of variable parameters to the search for solutions makes it possible not to miss any combination of RSS-CS solutions.

The received successive values of the parameters W _in i, M _in i, i=1,2…, simultaneously satisfying the conditions: W _in i≥W _in and M _in i≤M _in , are entered in the catalog of found solutions along with the values of the found parameters on the given, next step of variation.

To study the effectiveness of welded classical sheet piles RSHS-KS, a number of some classic hot-smoked sheet piles of the Az, Au, Pu type, hot-smoked sheet piles L4, L5-UM, L7, a number of welded sheet piles SSHK (SShK-Chelyabinsk) and all-Russian pipe piles were selectively replaced ShTS with diameters 630≤D≤1420 with the main thicknesses of each pipe inherent in these diameters.

In all cases, the efficiency coefficient of the studied (replaced) sheet piles was lower and (or) significantly lower than that of RSHS-KS trough replacement sheet piles (see tables of substitution of trough hot-smoked and welded sheet piles).

It was assumed that the efficiency coefficient K _eff = W / M shows how many units of elastic moment each kg of square mass delivers to the sheet pile wall. m of the wall, and also that the replacement solution has a mass of sq. m of the wall is “not more”, and the elastic moment is “not less” than that of the replaced solution.

It is easiest (most convincing) to demonstrate the effectiveness of replacement solutions using the example of replacement of ShTS pipe sheet piles, which are widely known and most often used in our country.

For this purpose, for each SHTS solution, multivariant examples of RSS-KS replacement solutions have been created (see part in tables 8 - 10).

To search for RSS-CS solutions that replace the RSS solutions, about 75.4 million possible RSS-CS solutions were generated and studied by software. Of these, only 3,117,994 solutions can, with varying degrees of efficiency, replace the 90 selected solutions of Russian STS.

With such a number of solutions, it is quite difficult to evaluate the effectiveness of the selected RSS-KS replacement solutions. Therefore, one solution with a minimum mass ( _min M) and the corresponding elastic moment ( _min W) was chosen from each catalog of many thousands of RShS-KS, replacing "its own ShTS". Then, from the same catalog, we select the second solution, but with the maximum elastic moment ( _max W) and the mass corresponding to this moment ( _max M).

Of these selected 180 solutions in the W and M coordinates, a diagram of the selected replacement solutions of the RSS-CS was built, plus, for comparison, the diagram of the solutions of the STS itself, consisting of 90 solutions (see the diagram in Fig.8).

Even with such a small number of RSS-KS solutions chosen, it immediately becomes obvious that no matter what solution is taken from the STS, there will always be a set of RSS-KS solutions whose masses are “no more” and elastic moments “no less” than at the solutions of the ShTS. This means that the efficiency coefficients of RSS-CS solutions are always higher than the efficiency coefficients of STS solutions.

For a more detailed, quantitative assessment of the benefits of RSS-KS solutions that replace PTS solutions, it is convenient to use the tables of express characteristics of PTS replacement (see tables 8-10 of sheet pile replacement).

Each express table reflects the substitutions of the PTS of the same pipe diameter, but with all the main thicknesses inherent in this diameter.

Each express table presents three ways to replace each STS solution with RSS-KS solutions:

- substitution for the purpose of maximum savings in the mass of square meters of the wall. With this substitution, the elastic moments of the RSS-CS are close to the elastic moments of the STS, but not less than the elastic moments of the studied STS, and the masses are significantly (from 20% to 41.4%) less than the masses of the solutions of the STS;

- substitutions in order to achieve the maximum possible elastic moments. At the same time, the elastic moments of the RHS-KS substituting solutions exceed up to 191%, and the masses are close, but not more than the masses of the corresponding STSs;

- substitution of decisions ShTS on decisions RSHS-KS with minimum possible height h=H _sys /2 of one trough sheet pile. At the same time, the masses of the RSS-KS substituting solutions are very close to the masses of the replaced STSs, but not more than those of the STSs. The elastic moments are also very close to the elastic moments of the STS, but not less than the latter.

The minimum possible height of the RShS-KS solutions is always less than the radius of the pipe of the replaced ShTS.

With all the substitutions of ninety solutions of the SHTS sheet piles with the RSS-KS solutions, the efficiency coefficients of the latter are always greater or significantly higher (K _eff - up to 55.7 units) than for the corresponding STS solutions, which have a maximum efficiency coefficient of only 43 units.

For ease of comparison, in each table of express substitutions for NTSs, “native” values of the corresponding NTSs are presented.

RSHS-KS trough sheet piles with the minimum possible heights h are less susceptible to deformations than equal-strength, but higher RShS-KS sheet piles.

In fact, the advantage of RSHS-KS sheet piles with the lowest possible sheet pile height lies in the fact that these sheet piles, as a rule, have thicker side walls and thicker flange sectors. But the mass savings of such robust sheet piles with the lowest possible sheet pile height is negligible.

But on the other hand, this is not a pipe like a prototype, but a trough-shaped tongue. And a trough with relatively thick side walls and sector shelves with the minimum possible height of the RShS-KS trough sheet piles.

Since RShS-KS are trough sheet piles, then, unlike ShTS pipe sheet piles, when using RShS-KS in polar night conditions (when it is often below minus 40 °), it is not necessary to “treat plugs”. That is, there is no need to weld reinforcement cages, no need to remove soil from pipes, no need to dispose of this soil, no need to concrete “plugs” (and even at a positive temperature in the pipe). And before that, you don’t need to “carry air” to the place of installation of future berths (i.e., carry pipes) and you don’t have to deal with ovality, since the disassembled transportation of the elements of the declared RShS-KS sheet pile is quite simple, they are compactly stacked and transported with minimal transport costs. And the ovality is solved by the presence of a sector (part of a pipe or a curved sheet), which is welded at an oblique joint to the end of the side wall, which eliminates the need to install additional stops or overlays as in the prototype in the form of mandatory sheet pile elements.

The pads can be installed as described above to increase the elastic moment or when the thickness of the flange is small (ie, when a pipe of insufficient wall thickness or a thin pipe of small diameter is used).

Consequently, for such sheet piles, there are significantly fewer problems with driving due to soil compaction and heavy driving equipment is not needed, there are no excessive requirements for locks.

RSHS-KS sheet piles are also an absolute alternative to ShTS sheet piles, which, for all their advantages, are quite expensive not only in terms of the cost of work and transportation, but also in terms of the time of arranging sheet pile walls from pipe sheet piles (especially in the Arctic).

Below, to prove the effectiveness of RSHS-KS sheet pile solutions, tables of substitutions for other various types of sheet piles are also attached, including RSSH-KS solutions with overlays (see tables 1-7).

As the examples of the tables show, the use of RShS-KS sheet piles makes it possible to achieve such elastic moments W that cannot be achieved even with ShTS sheet pile walls. And even more so, existing hot-smoked and existing welded trough sheet piles.

The RShS-KS sheet piles with their W values cover the entire range (the entire range) of elastic moments of known trough sheet piles and ShTS sheet piles up to the elastic moment W=25000 cm ³ /m. And the number of overlapping solutions is huge.

RSHS-KS trough sheet piles successfully replace (optimize) ShTS sheet piles. Depending on the problem statement, substitution can be done in three ways:

- replacement in order to save mass (mass savings range from 20% to 41.1% without reducing the elastic moments of the SHTS);

- replacement in order to achieve the maximum possible elastic moments, the increment of which ranges from 17.84% to 191.2% (at the same time, the masses of square meters of the wall remain slightly less than the corresponding masses of the replaced STS);

- substitution of solutions of ShTS for solutions of trough sheet piles RShS-KS with the minimum possible height h (one sheet pile). At the same time, the masses of the replaced solutions always remain slightly less (or practically coincide) with the masses of the corresponding SHTS, and the elastic moments are always not less than the corresponding moments of the “native” SHTS solutions;

For the production of RShS-KS sheet piles, it is always sufficient to use only Russian components (availability of materials), due to the use of sheets under the side walls and parts of pipes under the shelves.

Thus, RShS-KS sheet piles are an effective solution for the implementation of the import substitution program and have a high potential for export.

The use of reinforcing pads in RShS-Ks sheet piles causes a sharp increase in the efficiency of RShS-KS substitution trough sheet piles with a sector flange.

The increased interlock distance b _sys in comparison with the prototype (for similar forms of sheet pile wall construction, which is typical in the prototype for a sinusoidal sheet pile wall of piles with a segment angle of 270 degrees), allows you to accelerate the immersion of the sheet pile, reduce the amount of materials for painting due to the smaller perimeter and increase water tightness due to fewer locks per meter of sheet piling.

Despite the large width of one sheet pile, the energy required to drive piles with a larger interlock distance remains at the same level due to the smooth and open form of the connection between the wall and the sector flange.

Below is a new type of multi-variant welded sheet piles with a sector flange. A comparative analysis of the main strength characteristics of a number of well-known hot-rolled, welded sheet piles and replacement sheet piles RSHS-KS, including all ShTS pipe sheet piles, is given.

The declared sheet piles RShS-KS effectively replace the entire line of elastic moments up to W=25000 cm ³ /m inclusive.

Table 1. Examples of solutions for welded trough sheet piles RShS-KS with a sector flange to replace the hot-smoked sheet pile L5-UM with the parameters of the sheet pile L5-UM: M = 227.8 kg / m ² , W = 3555 cm ³ /m, k _eff \u003d 15, 6; t _fl =11 mm; t _p \u003d 23 mm; H _sys =430 mm (where t _fl is the thickness of the side wall, t _p is the thickness of the shelf). b _sys interlock distance of one sheet pile, mm Decision selection principle H _sys height of a pair of tongues in the assembly, mm Flange thickness t _f , mm Dowel flange sector diameter D, mm Sector thickness t _s , mm F, ^cm2 /m M, kg/m J, cm ⁴ /m W, ^cm3 /m K ^eff , Excess W, % Weight savings, % 500 with min weight 760 10 530 10 238.3 187.1 135249 3559 19.0 0.1 17.9 c max elastic moment 970 10 820 10 289.8 227.5 281559 5805 25.5 63.3 0.1 c min sheet pile height 500 eleven 1020 17 286.4 224.8 93159 3726 16.6 4.8 1.3 500 with min weight 710 10 720 eleven 239.6 188.1 127146 3582 19.0 0.8 17.4 c max elastic moment 930 10 820 eleven 289.9 227.6 268072 5765 25.3 62.2 0.1 c min sheet pile height 470 10 920 20 287.3 225.5 84864 3611 16.0 1.6 1.0 500 with min weight 695 10 325 10 246.6 193.5 124443 3581 18.5 0.7 15.0 c max elastic moment 925 10 325 10 289.8 227.5 256606 5548 24.4 56.1 0.1 c min sheet pile height 525 10 430 12 273.3 214.5 93469 3561 16.6 0.2 5.8 500 with min weight 670 eleven 720 12 249.4 195.8 119487 3567 18.2 0.3 14.0 c max elastic moment 860 eleven 720 12 290.1 227.7 225008 5233 23.0 47.2 0.0 c min sheet pile height 490 eleven 820 21 289.5 227.3 90739 3704 16.3 4.2 0.2 500 with min weight 660 12 720 12 257.7 202.3 117818 3570 17.6 0.4 11.2 c max elastic moment 780 12 630 12 289.9 227.5 185215 4749 20.9 33.6 0.1 c min sheet pile height 500 12 920 18 287.6 225.8 91782 3671 16.3 3.3 0.9 500 with min weight 650 12 630 12 259.0 203.3 115900 3566 17.5 0.3 10.8 c max elastic moment 780 12 630 12 289.9 227.5 185215 4749 20.9 33.6 0.1 c min sheet pile height 510 12 630 19 290.1 227.7 91260 3579 15.7 6.7 0.0 500 Some options with a minimum height of two sheet piles *
470 eleven 1020 18 289.7 227.4 84040 3576 15.7 0.6 0.2 480 eleven 820 21 287.5 225.7 86334 3597 15.9 1.2 0.9 490 12 820 20 288.1 226.1 88053 3594 15.9 1.1 0.7 490 eleven 820 20 281.7 221.1 87333 3565 16.1 0.3 2.9 500 eleven 920 18 281.5 221.0 91086 3643 16.5 2.5 3.0 500 12 820 19 282.5 221.8 88881 3555 16.0 0 2.7 520 12 720 20 281.0 220.6 93528 3597 16.3 1.2 3.2 Note * - Robust sheet piles. Relatively similar in height and/or shape to Larsen L5-UM sheet piles

According to table 1, the result for substitution examples: mass savings - up to 17.9%, excess elastic moment from 33.6 to 63.3%.

Table 2. Examples of solutions for welded trough sheet piles RShS-KS with a sector flange to replace the hot-smoked sheet pile L5-UM 550 ≤ bsys ≤ 750 with the parameters of the sheet pile L5-UM: M=227.8 kg/m ² , W=3555 cm ³ /m, k _eff = 15.6; t _fl =11 mm; t _p \u003d 23 mm (where t _fl is the thickness of the side wall, t _p is the thickness of the shelf). b _sys interlock distance of one sheet pile, mm Decision selection principle H _sys height of a pair of tongues in the assembly, mm Flange thickness t _f , mm Dowel flange sector diameter D, mm Sector thickness t _s , mm F, ^cm2 /m M, kg/m J, cm ⁴ /m W, ^cm3 /m K ^eff , Excess W, % Weight savings, % 550 with min weight 710 eleven 720 12 237.4 186.3 126557 3565 19.1 0.3 18.2 c max elastic moment 980 eleven 720 12 289.3 227.1 287288 5863 25.8 64.9 0.3 c min sheet pile height 460 eleven 1020 21 289.6 227.4 82430 3584 15.8 0.8 0.2 600 with min weight 720 eleven 820 12 227.5 178.6 128700 3575 20.0 0.6 21.6 c max elastic moment 1070 eleven 820 12 289.4 227.2 350532 6552 28.8 84.3 0.3 c min sheet pile height 460 12 1220 20 289.8 227.5 82275 3577 15.7 0.6 0.1 630 with min weight 740 eleven 820 12 221.7 174.0 131806 3562 20.5 0.2 23.6 c max elastic moment 1110 eleven 920 12 289.5 227.2 386744 6968 30.7 96.0 0.3 c min sheet pile height 460 13 1220 21 289.5 227.2 81902 3561 15.7 0.2 0.2 650 with min weight 730 eleven 920 12 219.1 172.0 130905 3586 20.9 0.9 24.5 c max elastic moment 1160 eleven 920 12 289.5 227.3 420025 7242 31.9 103.7 0.2 c min sheet pile height 460 eleven 1320 21 288.0 226.1 83229 3619 16.0 1.8 0.8 700 with min weight 760 eleven 920 12 210.6 165.3 135212 3558 21.5 0 27.4 c max elastic moment 1250 eleven 1020 12 289.6 227.4 495768 7932 34.9 123.1 0.2 c min sheet pile height 470 15 1220 23 290.0 227.7 84523 3597 15.8 1.2 0.1 720 with min weight 830 eleven 720 12 208.5 163.7 147586 3556 21.7 0 28.2 c max elastic moment 1300 eleven 1020 12 289.6 160.2 533366 8206 36.1 130.8 0.2 c min sheet pile height 460 13 1420 22 288.5 226.5 82383 3582 15.8 0.8 0.6 750 with min weight 820 eleven 820 12 204.0 160.2 145895 3558 22.2 0 29.7 c max elastic moment 1340 eleven 1120 12 289.7 227.5 577761 8623 37.9 142.6 0.2 c min sheet pile height 460 13 1520 22 289.7 227.4 82639 3593 15.8 1.1 0.2

According to table 2, the result for substitution examples: mass savings - from 18.2 to 29.7%, excess elastic moment from 64.9 to 142.6%.

Table 3. Examples of solutions for welded trough sheet piles RShS-KS with a sector flange to replace the hot-smoked sheet pile L4 with the parameters of the sheet pile L4: M = 185 kg / m ² , W = 2200 cm ³ /m, J = 37837, k _eff = 11 ,9; t _fl = 9.5 mm; t _c = 14.8 mm; H _sys \u003d 409 mm (where t _fl is the thickness of the side wall, t _p is the thickness of the shelf). b _sys interlock distance of one sheet pile, mm Decision selection principle H _sys height of a pair of tongues in the assembly, mm Flange thickness t _f , mm Dowel flange sector diameter D, mm Sector thickness t _s , mm F, ^cm2 /m M, kg/m J, cm ⁴ /m W, ^cm3 /m K ^eff , Excess W, % Weight savings, % 400 with min weight 520 8.5 430 12.5 216.6 170.1 57458 2210 13 8.1 c max elastic moment 610 8.5 430 12.5 234.4 184 85501 2803 15.2 27.4 0.6 c min sheet pile height 400 8.5 630 15.5 235.3 184.7 44417 2221 12.0 0.1 400 with min weight 540 8.5 325 14.5 218.2 171.3 59626 2208 12.9 7.4 c max elastic moment 590 8.5 430 13.5 235.4 184.8 82376 2792 15.1 26.9 0.1 c min sheet pile height 410 8.5 720 13.5 233.2 183.1 46169 2252 12.3 1.0 400 with min weight 530 8.5 325 12.5 219.6 172.4 59616 2250 13.0 6.8 c max elastic moment 640 8.5 325 13.5 233.6 183.4 88050 2752 15.0 25.1 0.8 c min sheet pile height 420 8.5 530 13.5 235.7 185.0 46536 2216 12.0 0.0 400 with min weight 450 8.5 630 12.5 222.7 174.8 50046 2224 12.7 5.6 c max elastic moment 650 8.5 325 13.5 235.6 185 91583 2818 15.2 28.1 0.0 c min sheet pile height 400 8.5 825 12.5 234.9 184.4 44502 2225 12.1 0.3 500 with min weight 570 8.0 530 12.0 188.2 147.7 63011 2211 15.0 20.1 c max elastic moment 940 8.0 430 12.0 235.3 184.7 198808 4230 22.9 92.3 0.1 c min sheet pile height 380 9.0 1020 15.0 233.1 183 42547 2239 12.2 1.1 600 with min weight 620 9.0 530 12.0 179.1 140.6 68466 2209 15.7 24.0 c max elastic moment 910 9.0 820 12.0 235.5 184.9 218393 4800 26.0 118.2 0.1 c min sheet pile height 380 12.0 1220 16.0 233.8 183.5 42452 2234 12.2 0.8 700 with min weight 640 9.0 630 12.0 166.9 131.0 70458 2202 16.8 29.2 c max elastic moment 1110 9.0 920 12.0 235.7 185 327768 5906 31.9 168.5 0.0 c min sheet pile height 400 12.0 1420 16.0 223.2 175.2 45434 2272 13.0 5.3 800 with min weight 690 9.0 630 12 157.5 123.6 75986 2202 17.8 33.2 c max elastic moment 1350 9.0 920 12.0 235.2 184.6 471493 6985 37.8 217.5 0.2 c min sheet pile height 410 12 1620 16 213.7 167.8 45792 2234 13.3 9.3

According to table 3, the result for substitution examples: mass savings - from 5.6 to 33.2%, excess elastic moment from 25.1 to 217.5%.

table 4 option Type H _sys height of a pair of tongues in the assembly, mm b _sys interlock distance of one sheet pile, mm Flange thickness t _f , mm Dowel flange sector diameter D, mm Sector thickness t _s , mm Shelf sector angle α, degree β, degree F, ^cm2 /m M, kg/m J, cm ⁴ /m W, ^cm3 /m K ^eff , Weight savings, % SSHK 35-500 430 500 10 20 216.6 75968 3 533 16.3 - 1 RShS-KS 490 500 10 820 20 60 72.3 275.3 216.1 86614 3 535 16.4 0.2 2 RShS-KS 510 500 10 720 21 60 66.9 271.0 212.7 90565 3552 16.7 1.8 3 RShS-KS 530 500 10 720 20 60 68.1 267.8 210.2 95681 3611 17.2 2.9 4 RShS-KS 550 500 10 630 21 60 64.4 264.4 207.5 99150 3605 17.4 4.2 5 RShS-KS 560 500 10 630 20 60 65.1 260.3 204.3 99935 3 569 17.5 5.7 6 RShS-KS 580 500 10 530 22 60 61.4 259.6 203.8 103850 3 581 17.6 5.9 7 RShS-KS 590 500 10 530 21 60 62.1 256.4 201.3 104875 3555 17.7 7.1 8 RShS-KS 620 500 10 430 23 60 59.5 254.6 199.8 109875 3544 17.7 7.7 9 RShS-KS 640 500 10 430 22 60 60.6 254.2 199.6 115532 3610 18.1 7.9 10 RShS-KS 650 500 10 430 21 60 61.2 252.1 197.9 116699 3 591 18.1 8.6 eleven RShS-KS 700 500 10 325 23 60 59.7 250.8 196.9 125470 3 585 18.2 9.1 12 RShS-KS 730 500 10 325 20 60 61.3 247.8 194.5 130182 3 567 18.3 10.2 13 RShS-KS 870 500 10 325 21 60 65.6 275.6 216.4 207041 4760 22.0 0.1

Table 5. Examples of solutions for RSHS-KS welded trough sheet piles with a sector flange to replace some sheet piles of the AZ, AU, PU type. b _sys interlock distance of one sheet pile, mm Decision selection principle H _sys height of a pair of tongues in the assembly, mm Flange thickness t _f , mm Dowel flange sector diameter D, mm Sector thickness t _s , mm F, ^cm2 /m M, kg/m J, cm ⁴ /m W, ^cm3 /m K ^eff , Excess W, % Weight savings, % AZ50
bsys 1160 with min weight 940 14 1220 18 224.4 176.2 236865 5040 28.6 30.6 c max elastic moment 960 18 1620 26 322.2 253 399672 8327 32.9 66.0 c min sheet pile height 650 18 1620 26 315.7 247.8 166119 5111 20.6 AZ50
bsys 580 with min weight 840 12 630 16 279.0 219.0 212055 5049 23.1 13.4 c max elastic moment 1020 12 720 16 322.2 252.9 368753 7230 28.6 44.2 0.0 c min sheet pile height 580 12 1120 21 319.1 250.5 146891 5065 20.2 1.0 PU 32 ⁺¹
bsys 600 with min weight 730 10 720 12 213.9 167.9 121961 3341 19.9 14.8 c max elastic moment 960 10 720 12 250.1 196.3 242487 5052 25.7 51.3 0.3 c min sheet pile height 510 10 1120 17 248.9 195.4 86324 3385 17.3 0.8 AZ 46-700N bsys 1400 with min weight 1100 14 820 18 204.4 160.5 254455 4626 28.8 28.8 c max elastic moment 1070 15 1520 24 286.5 224.9 435505 8140 36.2 76.8 0.2 c min sheet pile height 680 19 1620 28 277.5 217.8 156670 4608 21.2 3.3 AZ46
bsys 580 with min weight 870 10 630 14 248 194.7 201194 4625 23.8 15 c max elastic moment 1090 10 720 14 291.5 228.8 378037 6936 30.3 51 0.1 c min sheet pile height 580 10 1120 19 288.0 226.1 133503 4604 20.4 1.3 AZ 14-700 bsys 1400 with min weight 720 10 720 eleven 103.2 81 54997 1528 18.9 29.3 c max elastic moment 1070 10 1420 eleven 145.8 114.4 190544 3562 31.1 154.4 0.2 c min sheet pile height 470 10 1620 14 142.8 112.1 33840 1440 12.8 2.3 PU 28
bsys 600 with min weight 600 9 720 15 203.6 159.8 86260 2875 18 6.0 c max elastic moment 580 9 820 16 215.6 169.2 90443 3119 18.4 9.8 0.5 c min sheet pile height 510 9 1020 15 216.1 169.6 72549 2845 16.8 0.2 AU 25
bsys 750 with min weight 710 10 630 12 175.5 137.8 88787 2501 18.1 6.3 c max elastic moment 750 10 820 12 186.2 146.1 113851 3036 20.8 21.44 0.6 c min sheet pile height 540 10 1420 12 185.9 145.9 68590 2540 17.4 0.7

According to table 5, the result for substitution examples: mass savings - from 6 to 30%, excess elastic moment from 10 to 154%.

Table 6. Replacement of some SSHK solutions with RShS-KS welded trough sheet piles with a sector flange. b _sys interlock distance of one sheet pile, mm Decision selection principle H _sys height of a pair of tongues in the assembly, mm Flange thickness t _f , mm Dowel flange sector diameter D, mm Sector thickness t _s , mm F, ^cm2 /m M, kg/m J, cm ⁴ /m W, ^cm3 /m K ^eff , Excess W, % Weight savings, % SSHK 14-750 bsys 1500 with min weight 720 8 720 eleven 96.4 75.6 51330 1426 18.9 25.4 c max elastic moment 800 8 1620 12 127.7 100.2 99557 2489 24.8 74.4 1.2 c min sheet pile height 300 8 1520 10 105.4 82.7 31127 2075 25.1 47.7 18.4 SSHK 60-1000 bsys 1000 with min weight 1210 eleven 1320 12 217.3 170.6 367847 6080 35.6 22.9 c max elastic moment 1400 eleven 1620 16 280.6 220.3 723021 10329 46.9 70.3 0.4 c min sheet pile height 750 eleven 1420 27 280.4 220.1 230892 6157 28 0.4 SSHK 70-1000 bsys 1000 with min weight 1000 eleven 1620 18 254.0 199.4 354477 7090 35.6 18.7 c max elastic moment 1000 eleven 1420 28 312.0 244.9 467502 9350 38.2 33.6 0.1 c min sheet pile height 760 eleven 1620 28 310.0 243.4 269102 7082 29.1 0.7 SSHK 78-1000 bsys 1000 with min weight 1000 eleven 1320 24 274.9 215.8 392356 7847 36.4 20.1 c max elastic moment 1000 eleven 1620 29 342.9 269.2 528860 10577 39.3 35.7 0.3 c min sheet pile height 760 eleven 1620 32 342.2 268.6 301370 7931 29.5 0.5 SSHK 36-425 st235 L7 bsys 1000 with min weight 910 10 820 12 186.5 146.4 164664 3619 24.7 34.5 c max elastic moment 1640 10 1220 12 283.8 222.8 860266 10491 47.1 193.3 0.3 c min sheet pile height 510 18 1620 20 269.9 211.8 91280 3580 16.9 5.2 SSHK 51-425 st345 L7 bsys 850 with min weight 860 14 1120 16 250.6 196.7 219942 5115 26.0 32.8 c max elastic moment 970 14 1620 24 372.3 292.2 502899 10369 35.5 103.0 0.2 c min sheet pile height 590 22 1620 24 337.8 265.2 154546 5239 19.8 9.4 SSHK 90-100 bsys 1000 with min weight 1360 14 1220 16 290.0 227.6 617315 9078 39.9 13.5 c max elastic moment 1480 14 1620 17 333.7 261.9 913533 12345 47.1 36.0 0.4 c min sheet pile height 960 15 1620 25 334.0 262.2 435964 9083 34.6 0.3 SSHK 33-600 L 607n
bsys 6000 with min weight 720 10 720 12 212.4 166.7 117852 3274 19.6 13.1 c max elastic moment 920 10 720 12 243.7 191.3 217735 4733 24.7 44.8 0.3 c min sheet pile height 520 10 1220 15 242.2 190.1 86067 3310 17.4 0.9 Table 7. Some solutions for welded trough sheet piles RShS-KS with a sector flange to replace the sheet pile L5UM with bsys=1000 mm. Sheet pile parameters L5-UM: M = 227.8 kg / m ² , W = 3555 cm ³ / m, k _eff = 15.6; t _fl =11 mm; t _p \u003d 23 mm; H _sys = 430 mm. b _sys interlock distance of one sheet pile, mm Decision selection principle H _sys height of a pair of tongues in the assembly, mm Flange thickness t _f , mm Dowel flange sector diameter D, mm Sector thickness t _s , mm F, ^cm2 /m M, kg/m J, cm ⁴ /m W, ^cm3 /m K ^eff , Excess W, % Weight savings, % Interlock distance bsys = 1 m with min weight 810 12 1420 12 185.7 145.8 144114 3558 24.4 36.0 c max elastic moment 950 14 720 24 289.3 227.1 315156 6635 29.2 86.6 0.3 c min sheet pile height 490 16 1620 26 282 221.5 87984 3591 16.2 2.7 with min weight 940 12 820 12 188.6 148 167116 3556 24.0 35.0 c max elastic moment 970 14 1420 22 277.7 218.0 388014 7760 35.6 118.3 4.3 c min sheet pile height 510 20 1420 26 225.1 225.1 91071 3571 15.9 1.2 with min weight 840 12 1120 12 188.7 148.1 152670 3635 24.5 35.0 c max elastic moment 980 12 1320 20 289.7 227.4 377138 7697 33.8 166.5 0.2 c min sheet pile height 530 16 1320 26 267.7 210.1 94875 3580 17.0 7.8 with min weight 860 12 920 14 191.5 150.3 153700 3574 23.8 34.0 c max elastic moment 1000 12 1220 20 281.6 221.1 378231 7565 34.2 112.8 3.0 c min sheet pile height 540 20 1220 26 282.2 221.5 96894 3589 16.2 2.8 with min weight 890 12 820 14 191.9 150.7 159605 3587 23.8 33.9 c max elastic moment 1000 12 1120 22 288.5 226.5 390482 7810 34.5 119.7 0.6 c min sheet pile height 540 16 1120 26 286.5 224.9 98178 3636 16.2 1.3 with min weight 840 12 1020 14 192 150.7 151680 3611 24 33.8 c max elastic moment 1000 12 1020 22 277.8 218.1 369362 7387 33.9 107.8 4.3 c min sheet pile height 570 20 920 26 289.3 227.1 102876 3610 15.9 0.3 with min weight 870 12 720 16 194.9 153.0 155100 3566 23.3 32.8 c max elastic moment 980 12 920 22 290.0 227.7 356628 7278 32.0 104.7 0.1 c min sheet pile height 590 18 820 26 275.9 216.6 105597 3580 16.5 4.9 with min weight 940 12 530 16 195.1 153.2 167260 3559 23.2 32.8 c max elastic moment 990 14 820 24 284.6 223.4 347619 7023 31.4 97.6 1.9 c min sheet pile height 620 16 720 26 260.0 204.1 111028 3582 17.5 10.4

The set of solutions for RShS2-KS sheet piles was obtained by varying the values of each of its parameters for all possible combinations of parameters. Each parameter has its own range and its own change step. Restrictions accepted: Δt= tc -tf ≤ 10; hks ≤ bsys ; 11≤ tf ≤ 28; 12 ≤ tс ≤ 28. We excluded solutions for which Wks < Wsts and (or) Mks > Msts

The results are shown in Table 8.

Designations in the table:

economy M % mass savings in the replacement solution RSHS-KS in comparison with the mass of the replaced solution ShTS M _h mass in the RSHS-KS substitution solution with a minimum height of one sheet pile h _ks W _h elastic moment in the replacement solution RShS-KS with a minimum height of one sheet pile h _ks min Keff _ks = min W _ks /min M _ks ; Max. Keff _x = max. W _x /max. M _x ; Keff _h \u003d W _h / Mh; Keff _pcs = W _pcs / M _{pcs bsys} , mm inter-lock distance of the projected classical sheet pile h _ks , mm the minimum possible height of one replacement sheet pile RShS-KS. (Always : h _ks ≤ b _sys ) t _s , mm sheet pile sector (shoulder) thickness t _f , mm sheet pile flange thickness α, deg. central corner of sector flange with diameter Dc DC, mm sector flange diameter

Table 8. Express-characteristic of the replacement of the ShTS 630x (7:14) pipe sheet with bsys=750 for welded trough sheet pile solutions RShS-KS with sector flanges. ShTS substituting solutions RShS-KS with min M _ks replacement solutions RShS-KS with max. W _ks substituting solutions RShS-KS with min h _ks replacement solutions other parameters in replacement solutions economy M % min M _x (kg/m ² ) min W _x (cm ³ /m) min cuff _x Max. M _x (kg / m ² ) Max. Wks (cm ³ /m) Max. Keff _ks min h _x (mm) Mh (kg / m ² ) Wh (cm ³ /m) Keff _h M _pieces (kg / m ² ) W _pieces (cm ³ /m) Keff _shts Max. J _x (cm ⁴ /m) Max. Keff _ks number of CC decisions 630*7 20 143.4 3073 21.4 179.1 5493 30.7 250 179.1 3088 17.2 179.24 3059 17.06 323708 30.7 16198 630*8 20.9 159.2 3494 21.9 201.1 6447 32.1 255 200.7 3545 17.7 201.21 3479 17.3 331405 28.9 11718 630*8 28.7 143.4 3073 21.4 200.7 7196 35.9 250 178.14 3059 11.3 201.21 3479 17.3 323708 28.9 16198 630*9 29.8 156.7 3901 24.9 222.7 9136 41 250 222.7 3897 17.5 223.1 3895 17.5 680602 41 62992 630*10 29.6 172.4 4364 25.3 244.5 10169 41.6 255 244.4 4354 17.8 244.93 4307 17.6 757577 41.6 71862 630*11 33.3 177.8 4739 26.7 266.6 12119 45.5 260 266.3 4824 18.1 266.69 4715 17.7 908932 45.5 101803 630*12 36.4 183.3 5119 27.9 287.9 13929 48.4 260 286.6 5161 18 288.37 5119 17.75 1044690 48.4 130883 630*13 39.1 188.8 5526 29.3 309.4 15742 50.9 270 305.7 5654 18.5 309.98 5519 17.8 1180646 50.9 38509 630*14 41.4 194.4 5937 30.5 327.7 17228 52.6 280 329.5 6051 18.4 331.52 5916 17.85 1292072 52.6 178111 total number of satisfactory solutions → ΣΣ=636188

table ₉ ShTS substituting solutions RShS-KS with min M _ks replacement solutions RShS-KS with max. W _ks substituting solutions RShS-KS with min h _ks replacement solutions other parameters in replacement solutions economy M % min M _x (kg/m ² ) min W _x (cm ³ /m) min cuff _x Max. M _x (kg / m ² ) Max. W _x (cm ³ /m) Max. Keff _ks min h _x (mm) M _h (kg / m ² ) W _h (cm ³ /m) Keff _h M _pieces (kg / m ² ) W _pieces (cm ³ /m) Keff _shts Max. J _x (cm ⁴ /m) Max. Keff _ks RShS-KS 1020*9 8.5 203.7 6645 32.62 222.4 8177 36.8 430 222.5 6663 29.9 222.65 6631 29.78 576547 36.8 3870 1020*10 13.3 212.7 7373 34.7 245.3 10240 41.7 420 243.8 7411 30.4 245.49 7346 29.92 757577 41.7 11863 1020*11 17.5 221.2 8082 36.5 268.2 12261 45.7 420 265.4 8123 30.6 268.29 8057 30.03 919575 45.7 21451 1020*12 21.2 229.4 8770 38.2 290.8 14106 48.5 420 286.9 8824 30.8 291.05 8764 30.11 1050953 48.5 30584 1020*13 24.4 237.3 9493 40.0 311.8 15910 51 425 313.8 9468 30.2 313.76 9466 30.17 1193213 51.0 38454 1020*14 27.3 244.5 10169 41.6 335.6 17883 53.3 430 331.0 10275 31.0 336.42 10164 30.21 1341197 53.3 44832 1020*15 29.6 252.9 10885 43.0 356.2 18830 52.9 430 358.3 11031 30.8 359.04 10858 30.24 1412253 53.3 49616 1020*16 31.8 260.2 11554 44.4 376.7 19772 52.5 440 380.4 11585 30.5 381.61 11548 30.26 1482926 53.3 52605 1020*17 33.6 268.2 12261 45.7 397.2 20710 52.1 455 399.8 12302 30.8 404.14 12233 30.27 1553216 52.1 53717 1020*18 35.0 277.1 12917 46.6 417.7 21642 51.8 465 424.6 12925 30.4 426.62 12915 30.27 1623126 53.3 52830 1020*19 36.5 285.0 13662 47.8 449.0 22639 50.4 480 446.6 13720 30.7 449.05 13592 30.27 1692655 53.3 49992 1020*20 37.8 293.1 14325 48.9 471.1 23780 50.5 495 455.4 14378 31.6 471.44 14265 30.26 1783487 53.3 45541 total number of satisfactory solutions → ΣΣ=455355

table 10 ShTS substituting solutions RShS-KS with min M _ks replacement solutions RShS-KS with max. W _ks substituting solutions RShS-KS with min h _ks replacement solutions other parameters in replacement solutions economy M % min M _x (kg/m ² ) min W _x (cm ³ /m) min cuff _x Max. M _x (kg / m ² ) Max. W _x (cm ³ /m) Max. Keff _ks min h _x (mm) M _h (kg / m ² ) W _h (cm ³ /m) Keff _h M _pieces (kg / m ² ) W _pieces (cm ³ /m) Keff _shts Max. J _x (cm ⁴ /m) Max. Keff _ks RShS-KS 1420*11 3.3 260.2 11554 44.4 269.0 12314 45.8 655 267.0 11530 43.18 269.06 11500 42.74 754555 43.1 281 1420*12 7 272.0 12567 46.2 291.9 14243 48.8 600 291.3 12602 43.1 292.33 12519 42.82 1068198 48.8 1285 1420*13 9.7 285 13622 47.8 314.8 16172 51.4 575 314.9 13620 43.3 315.56 13533 42.88 1212898 51.4 2619 1420*14 12.7 295.7 14592 49.3 338.0 18132 53.6 565 334.5 14585 43.6 338.76 14543 42.93 1359894 53.6 3936 1420*15 14.8 308.2 15594 50.6 361.3 19947 55.2 570 358.0 15653 43.7 361.93 15549 42.96 1487361 55.2 4731 1420*16 17.1 319.3 16573 51.9 382.8 21756 56.8 590 381.5 16700 43.8 385.06 16551 42.98 1631721 56.8 4790 1420*17 18.7 331.8 17615 53.1 403.2 22680 56.2 605 405.1 17610 43.5 408.16 17548 42.99 1701034 57.3 4267 1420*18 20.4 343.4 18575 54.1 428.4 23256 54.3 620 429.8 18570 43.2 431.23 18541 43.00 1744216 57.3 3422 1420*19 21.4 356.9 19691 55.2 453.6 23832 52.5 640 447.7 19621 43.8 454.26 19529 42.99 1787398 57.3 2481 1420*20 22.8 368.6 20541 55.7 476.9 24173 50.7 655 474.9 20691 43.6 477.26 20514 42.98 1808989 57.3 1612 total number of satisfactory solutions → ΣΣ=29424

Claims (4)

1. A sheet pile of a trough-shaped profile, including a shelf, side walls and elements of a lock joint connected by welding, characterized in that the side walls of the tongue are formed by metal sheets, to the end part of which a shelf is welded from one edge, which is a curved metal sheet, and the elements of the lock joint welded to the other end edge of the metal sheets forming the side walls, while the connection of the edges of the shelf and the metal sheets is made with an oblique joint. 2. The tongue according to claim 1, characterized in that the curved metal sheet of the shelf is obtained by a longitudinal section of a cylindrical metal pipe in the form of a segment. 3. The tongue according to claim 1, characterized in that the curved metal sheet of the shelf is obtained by bending a flat metal sheet in rollers. 4. Sheet pile according to any one of paragraphs. 2, 3, characterized in that in the middle part of the shelf, from its outer or inner side, an overlay is welded, which is a segment of a cylindrical metal pipe obtained by a longitudinal cut of the same diameter as used in the shelf, but having a smaller area than the shelf.

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