An Experimental Investigation on the Mechanical Properties of Gangue Concrete as a Roadside Support Body Material for Backfilling Gob-Side Entry Retaining

Development of a safe and economical roadside support body (RSB) material is the key to successful backfilling gob-side entry retaining (GER). By means of laboratory tests, this paper studied the effects of the water-cement ratio, aggregate content, and age on the contractibility and resistance increasing speed, compressive strength, and postpeak carrying capacity of the concrete with gangues as an aggregate. It also discussed the rationality and adaptability of gangue concrete as a RSB material for backfilling GER. ,e experimental results show that the compressive strength of gangue concrete increases with age, and that the strength of gangue concrete demonstrates a nonlinear decreasing trend with the increase of the cementing material’s water-cement ratio. ,e watercement ratio in the range of 0.46–0.60 has the most significant regulation effect on the strength of gangue concrete. Mixing with a certain amount of coal gangue enhances the postpeak carrying capacity of concrete, preventing the sample from impact failure.,e field experimental results report that as a RSB material, gangue concrete can meet the design and application requirements of GER with gangue backfilling mining. A RSB material featuring high safety, high waste utilization rate, fast construction speed, and low costs is provided.


Introduction
e gangue backfilling GER (Figure 1(b)) is an innovative mining technology based on gob-backfilled adaptive to multiple complex mining geological conditions without a coal pillar [1].Based on the present theoretical and technological research on GER in thin and medium thick coal seams under simple conditions, we basically mastered the mine pressure law of the GER with roof caving (Figure 1(a)).In addition, applications under single complex mining geological condition, such as deep mine or the working faces of fully mechanized top coal caving, were explored [2][3][4].But to date, GER for working faces with high mining height is still faced with difficulties under deep, heavily stressed, and multiple complex geological conditions, limiting the GER technology development [5].Since the RSB generally needs to withstand a high vertical stress in the GER process in which roofs are managed using the caving method, the hanging roof at gob side is sheared down to reduce additional load, ensuring the late-stage movement stability of the roof [6][7][8].However, under multiple complex geological conditions, the mechanical properties of the traditional RSB materials cannot adapt to the roadway pressure and deformation under the influence of mining, which results in a high supporting cost and a lower entry retaining success rate.
In recent years, as a safe, environmentally friendly mining method, gob-backfilled mining has been applied in China's eastern and central regions.Many scholars have conducted creative research on backfilling mining [9][10][11][12], the results of which show that it can reduce the working face pressure and avoid main roof breaking [13][14][15][16].e combination of the backfilling mining technology and the GER technology enables mining without using a coal pillar under multiple complex geological conditions.Because of differences in roof "large structure" and the roadside support principle [17][18][19], there are signi cant di erences in roadside support material requirements between the GER with fully mechanized gangue back lling mining and the GER in which roofs are managed using the caving method.Consequently, the key to the gangue back lling GER lies in the development of a safe and economical RSB material which is adaptable to the law of mine pressure in the gob-back lled GER process.
In the GER development, a variety of RSB materials have been tried by engineers and scholars to maintain roadway stability, such as timber cribs, dense pillar, gangue piling, and masonry walls [20,21].However, due to issues including low support force, large deformation, poor gob isolation, and poor roof connection, the GER stability and safety have been greatly a ected.
e high water-material back lling technology that came out in recent years has been applied in GER engineering in which roofs are managed using the caving method, but the high costs limit its application on back lling GER working faces.However, for working faces with gangue back lling, in case a large amount of granular gangues can be used as the aggregate to produce the RSB material in entry retaining, then the conveying and backlling systems can be shared, greatly reducing the roadside support costs, which is favorable to the promotion of the back lling GER.At the same time, the use of gangues as a RSB material can help remove gangues on the ground, turning the waste into a bene t as well as alleviating the ground environmental problems [22][23][24].
Coal gangue is a concrete material utilizing gangues as a coarse aggregate and cement as a cementing material, mixed with a certain amount of additives.Recently, scholars have studied the performance of gangue concrete for di erent application elds: Wang et al. [25] predominately discussed the permeability of the concretes composed of coal gangue and y ash when applied in farmland drainage ditches.e results indicate that the concrete using waste coal gangue and y ash had better water permeability than ordinary concrete.And it had a high subsurface drainage modulus, making it feasible for application in coal mining subsidence areas with high groundwater levels.Li et al. [26] developed nite element analysis models of rebar-penetrated connection between gangue concrete lled steel tubular column and reinforced gangue concrete beam using software ABAQUS 6.10 and revealed cyclic behavior of rebar-penetrated connection between gangue concrete lled steel tubular column and reinforced gangue concrete beam.Wu et al. [27] designed a numerical model to predict the development of suction in a cemented gangue back ll mixture containing y ash.rough laboratory tests, this paper focuses on the study of the in uence of the water-cement ratio, aggregate content, and age on the early stage contractibility and the transitional stage resistance increasing speed, the late-stage compressive strength, and the postpeak carrying capacity of gangue concrete.rough this process, the sensitive control ranges of the various factors a ecting gangue concrete performance were obtained.e adaptability of gangue concrete as a RSB material was discussed by taking into account the behavior law of mine pressure of GER with fully mechanized gangue back lling mining.Based on the analysis of the test results, eld tests were carried out in China's Shandong mining area, the results of which suggest that the gangue concrete material designed according to the ratio obtained in this paper can meet the RSB load-deformation requirements in di erent stages during the entire back lling GER process.A safe, environmentally friendly and economical RSB material is provided for the development and promotion of GER with fully mechanized gangue back lling mining.

Test Method and Scheme Design
2.1.Test Materials.Cement clinker (p.c32.5) was used, and granular gangues of 0-25 mm in diameter were used as the aggregate in the test.Considering the economy and rationality of GER engineering, the gangues were obtained directly from the gangue piles in the experimental mining area.In order to give a reasonable explanation of gangue concrete strength evolution, the particle size distribution and mechanical properties of the aggregate were measured rst.
(1) Particle size distribution characteristics of crushed gangues e initial crushed gangue particles obtained from the eld are continuously graded granular materials.A Talbot formula was used to quantitatively describe the particle size distribution characteristics of gangues: where P x is the passing percentage of the d aggregate, D is the maximum particle size of the granular gangues, d is the 2 Advances in Materials Science and Engineering current size of the granular gangues, and n is the coe cient of the Talbot formula.e analysis results show that the aggregate basically satis es the continuously graded distribution characteristics with a Talbot coe cient (n 0.6). Figure 2 shows the comparison of the particle size distribution characteristics between the gangue aggregate and when n 0.6. (

2) Mechanical properties of the complete gangue samples
To obtain the strength characteristics of the gangue aggregate for analyzing the coordination mechanism of the aggregate and the cementing material, uniaxial compression tests were carried out on multiple complete gangue samples (Φ50 mm × 100 mm) in this paper, and the average uncon ned uniaxial compressive strength obtained is 9.83 MPa. e compressive strength results of the standard gangue samples are shown in Table 1.From the uniaxial compression characteristic curve of gangues shown in Figure 2, it can be seen that the gangues have a certain postpeak carrying capacity.Moreover, a number of shear cracks occur during the crushing process, suggesting that the gangues had piled in the open air and experienced long-term weathering and soaking.eir initial ssures are relatively developed, and the strength of the granular gangue aggregate is lower than the ordinary concrete aggregate.

Test System and Sample Preparation.
Samples were prepared according to the concrete sample forming and curing standards with a design size of 150 mm × 150 mm × 150 mm.To guarantee the reliability of the data, 3 samples were prepared for the same ratio and age.e test used the MTS 816 test system (Figure 3) that ensures highly accurate and high sensitivity results.

Experimental Scheme Design.
Walker et al. [28] found that the concrete strength is mainly determined by the following factors: (1) the strength of the cement matrix; (2) the bonding strength of the mortar and the coarse aggregate; (3) the strength, sti ness, and grading of the coarse aggregate; and (4) the maximum size of the aggregate particles.After determining the strength, sti ness, grading, and the maximum size of the coarse aggregate in the eld, the test used the orthogonal test design method (Table 2) to design pure cement (nonaggregate) samples with a same watercement ratio for each gangue concrete group to provide a comparison.e following factors in uencing gangue concrete properties were mainly considered: Advances in Materials Science and Engineering (1) Water-cement ratio: water-cement ratio is an important factor affecting the strength of the cementing material.e water-cement ratios of 0.40, 0.43, 0.46, 0.50, 0.55, and 0.6 were considered in this test.(2) Aggregate content: four aggregate content levels were considered, respectively, which include 45%, 50%, 55%, and 60%.(3) Curing age: for gangue concrete samples and pure cement samples with each water-cement ratio and gangue content level, three ages were considered, that is, 7 days, 14 days, and 28 days, for studying the evolution rules of the compressive strength properties of gangue concrete in different hardening stages.

Effect of the Water-Cement Ratio on the Mechanical
Properties of Gangue Concrete.e average concrete strength with a 50% gangue content level under different water-cement ratios can be obtained through uniaxial compression tests of the gangue concrete sample groups 1-6, as noted in Figure 4.With the increase of the watercement ratio of the cementing material, the gangue concrete strength demonstrates a nonlinear decreasing trend.When the ratio is greater than 0.46 and less than 0.60, the gangue concrete strength becomes more sensitive to the ratio.When the ratio is less than 0.46, the decrease of the ratio has little effect on the late stage strength of the gangue concrete.Within the sensitivity range of the water-cement ratio, the strength of the 28-day gangue concrete is adjustable at 4.97-10.18MPa.
e average strength of the cementing material under different water-cement ratios can be ascertained through uniaxial compression tests of pure cement sample groups 7-12, as depicted in Figure 5.
e raising of the watercement ratio increases the free water in the cementing material during the cement hardening process, and the average compressive strength of the pure cement samples monotonously decreases with the increase of the watercement ratio.With a comparison between Figures 4 and 5, it can be assumed that the strength of the gangue concrete is jointly determined by the aggregate, the cementing material, and their bonding surface.Damage and failure are rst present in the weakest one of them, resulting in the overall instability of the concrete samples.
e strong water absorption of the gangues during the mixing of the concrete mix causes a local low water-cement ratio on the surface of the gangue granules and thus increases the compactness of cement stone near the surface of the gangue aggregate.Concurrently, because the surface of the gangue particles is rough with micropores, the bonding surface between gangues and the cementing material is enlarged, and the binding power between gangues and the cement stone is improved.Hence, the bonding strength at the interface between the aggregate and the cement paste in the gangue concrete is higher than that of the ordinary concrete.When the water-cement ratio lies within the range of 0.46-0.60, the cementing material's strength in the gangue concrete is lower than the strength of the aggregate.erefore, the cementing material's strength determines the overall strength of the gangue concrete, and changing the watercement ratio has a relatively signi cant in uence on the gangue concrete's strength.When the water-cement ratio is within the range of 0.40-0.46, the strength of the cementing material is greater than that of the aggregate.When the vertical stress is greater than 10 MPa during the loading process, damages appear inside the aggregate, eventually leading to the instability of the samples.erefore, increasing the strength of the cementing material within the above range has no notable e ects on the strength of the gangue concrete.
erefore, within the water-cement ratio range described in this test, to allow a full harmonization between the strengths of the aggregate and the cementing material, it can be expected that the sensitivity range of the water-cement ratio lies in 0.46-0.60 for controlling the strength of gangue concrete.In the application of back lling GER engineering, the RSB load requirements may be satis ed plus a full use of the carrying capacity of the granular gangues through adjusting the water-cement ratio of the cementing material within the sensitivity range based on understanding the roof load law and by considering the strength characteristics of gangues.

E ect of the Aggregate on the Mechanical Properties of Gangue Concrete.
e average concrete strength with dissimilar gangue contents can be obtained through uniaxial   Advances in Materials Science and Engineering compression tests of the gangue concrete sample groups 1, 13, 14, and 15, as noted in Figure 6.It can be seen from the gure that with the gangue content falling in the range of 45% to 60%, the strength of the gangue concrete with a 28-day age reaches 10.8 to 11.6 MPa.Since the granular gangues have many ssures, the strength of the coal gangue aggregate is lower than that of the complete gangue samples.However, the rough and water-absorbing surface of gangues allows both a larger contact area between the aggregate and the cementing material and a reduced local water-cement ratio on the aggregate surface.A hard cement stone shell forms around the gangues, which constrains the lateral deformation of the aggregate.It puts the gangues in a threedimensional stress state in the concrete, improving the ultimate strength of the fractured granular gangues.erefore, the uniaxial compressive strength of the gangue concrete samples is higher than that of the complete gangue samples.Concurrently, the aggregate's own damage is a key factor leading to the overall concrete destruction.
With the water-cement ratio at 0.40, the increase of the gangue content has little e ect on the concrete strength.
erefore, it can be deduced that when the water-cement ratio and the aggregate strength are kept unchanged, the gangue content within a certain range is not a notable factor a ecting the strength of gangue concrete.However, by comparing the uniaxial compression characteristics of the sample groups 7 and 15 (Figure 7), it can be seen that as an aggregate, coal gangue has a vital e ect on the destruction mode and the postpeak carrying characteristics of concrete.
As shown in Figure 7, the entire gangue concrete compression process can be divided into three stages according to the destruction characteristics.Stage 1 is the elastic stage, in which the stress and the strain maintain a linear relation following the initial compaction and the elasticity modulus remains constant.ere are no obvious cracks on the gangue concrete surface in this stage.Stage 2 is the sti ness attenuation stage, which begins with the appearance of nonlinear stressstrain growth and ends when the peak stress is achieved.With the increase of the strain, the sti ness of the samples is reducing continuously, but the stress is still rising.In this stage, ne cracks appear on the surface of the samples, which gradually evolve into local surface spalling.Stage 3 is the postpeak stage.With the increase of the strain, the stress demonstrates a decreasing trend, and the crack development is relatively slow until nally the samples are destructed due to excessive deformation.e samples have a certain postpeak carrying capacity.Such features allow the adaptability to the large deformation requirement of the RSB and a slow release of the internal elastic energy in the RSB, avoiding the impact damage caused by a sudden release of the internal elastic energy.In the destruction of the nonaggregate samples with the same water-cement ratio, only the characteristics in stage 1 (the elastic phase) are present throughout the compression process, and once at the strength limit, the samples will experience a brittle failure.e destruction is mainly in a form of tensioning and splitting to a relatively great degree of damage with a certain impact.e postpeak carrying capacity of the samples is poor with a small yield.Obviously, in terms of safety and economy, the gangue concrete material mixed with aggregate at a certain proportion has obvious advantages in GER engineering practices.

E ect of the Age on the Strength of Gangue
Concrete.e strength limit of the gangue concrete was obtained for various ages with various water-cement ratios and a gangue content of 50% through uniaxial compression tests of the gangue concrete groups 1 to 6, which is shown in Figure 8. Regardless of the water-cement ratio, the compressive strength of the gangue concrete demonstrates an e eld test results show that the working faces of GER with fully mechanized gangue back lling mining stabilize at the 28-day age after back lling, and the working load of the RSB is fundamentally stable.Hence, in studying the in uence rules of the age on the gangue concrete's strength in gangue back lling GER engineering, it is necessary to determine whether the 28-day strength of the gangue concrete can meet the working load requirements in the stable period and to analyze whether the development degree of the gangue concrete's early stage strength can satisfy the mininginduced pressure requirements in the GER process.In this paper, the development degree of the gangue concrete's strength is expressed as a percentage of the early age strength of the samples to the strength at the 28-day age: where f 7d and f 14d represent the development degrees of the gangue concrete's strength at the 7-day and 14-day ages, respectively.s 7d , s 14d , and s 28d depict the concrete's compressive strengths at the 7-day, 14-day, and 28-day ages, respectively.Table 3 shows the strength development conditions of the concrete with di erent water-cement ratios and a gangue content of 50%.Within the range of 0.40-0.60, the average value of f 14d , 91.37%, for the concrete samples with a gangue content of 50% is notably higher than that of the pure cement samples which is 81.90%.eir average values of f 7d are essentially the same, which are 67.56% and 68.89%, respectively.From Figures 4 and 5, it can be seen that the gangue concrete has basically reached its late stage strength at the 14-day age, after which the strength has a very small increase, indicating that with the addition of the gangue aggregate, the concrete's hydration and hardening processes are signi cantly accelerated.
In a general GER condition, because back lling measures are not taken for the gob, the roof shearing needs to be done in the initial stage of the roadside support.e eld test results show that the roof shearing resistance is commonly required at 3-6 MPa, so the early stage strength of the RSB material is particularly critical.During the roof shearing process, a low strength of the RSB material will lead to insu cient roadside support, excessive roof deformation, and in a serious scenario roof breaking along the solid coal side, resulting in an accident.In the condition of GER with fully mechanized gangue back lling mining, due to the support of the back lling area, the gob-side roof subsidence is smaller than in the general GER condition.Moreover, with continuous support, the roof will only bend and subside to a certain degree on the whole without obvious weighting.erefore, the RSB does not serve as the main carrier of the roof load at the beginning of entry retaining, and so the early stage RSB strength required is smaller than that GER with roof shearing.It can be seen from Figure 4 that the early average strength of the gangue concrete material with various mixing ratios reaches 3.1-8.1 MPa, which is greater than the roof shearing resistance.erefore, the compressive strength of the material fundamentally meets the early stage vertical load bearing requirements.
Moreover, for solid back lling GER, it is necessary to guarantee the structural stability of the RSB under the lateral pressure of the granular back lling material in the gob.
erefore, to ensure that the RSB does not slip toward the inner side of the roadway and loose stability due to rotation, it is required to carry a design load within a reasonable range.e results of the existing practices show that the vertical stress is gradually increasing from the working face to the back lling area, which essentially stabilizes 30 m-50 m back from the working face (Figure 9).e lateral pressure exerted by the granular material on the RSB is also fundamentally consistent with this trend, mainly because the  Advances in Materials Science and Engineering reason that the lateral pressure coe cient of the granular material with a certain property does not change with the vertical stress.erefore, as a RSB material, gangue concrete is required to have a su cient compressive strength to withstand a certain vertical load and prevent slippage and side turn under the lateral pressure of the granular backlling material in the gob, which will a ect the safe use of the retained entry.Alternatively, it is required to have a certain degree of contractibility to adapt to the "given deformation" of the roof in the A area when the vertical support is insu cient in the back lling area in the early stages.In engineering practices, the strength proportion should be chosen in an economical and rational manner according to the above principles while considering parameters, such the RSB width and aspect ratio and the surface slope angle on the gob side.

E ect of Age on the Contractibility of the Gangue
Concrete.From the sti ness development with the gangue concrete age as shown in Figure 10, it can be seen that the sti ness of the 7-day gangue concrete is obviously lower than the sti ness of the 14-day gangue concrete.Since cement hydration is related to the age, the increasing trends of the elastic modulus with time are apparent before the 14-day age, and the elastic modulus stabilizes when the age is greater than 14 days.is property can adapt to the early stage deformation of the roof in GER with fully mechanized gangue back lling mining.In a general GER condition, since the roadside support is a passive support and the roof will produce a certain amount of given deformation, the roof-oor displacement of the roadway accounts for 80% of the total surrounding rock deformation for the area 20 m in front of the working face and the area from the back of the back lling roadside support to 80 m in back of the working face.In contrast, with the gob back lling e ect, the roof subsidence mainly concentrates 30 m in back of the working face.So, at age 0-14 days, a relatively high contractibility is required for the roadside support, while in the late stable stage and the second working, a relatively high strength is required.In the initial stage of entry retaining, the roadway support can be adaptable to the given deformation of the roof in GER with fully mechanized gangue back lling mining through appropriate downward contracting and yielding, fully utilizing the carrying capacities of the back lling gob and the surrounding rock.e characteristics of the high strength and large elastic modulus of the gangue concrete in the late stage can satisfy the roadside support strength required by the GER in the second mining process.e main mining coal seam is seam 3 lower , coe cient of hardness f 1-2, and thickness is at 3.08-4.10m.Seam 3 lower of the coal oor consists of mudstone and siltstone, and Seam 3 lower of the coal roof consists of mudstone and siltstone.e hardness coe cient of the mudstone and siltstone f 4-6.e advancing speed of the working face was 3 m per day, and the gob back lling ratio was designed as 100%.e strata geological log is as shown in Figure 11.

Roadside Support Design.
e width of the RSB is 2 m, and the height is 3.6 m.Crushed continuously graded native gangues at n 0.6 were used as aggregate to prepare concrete of 50% aggregate content.Cement grade is p.c32.5, and water-cement ratio is 0.60.Flexible cushion at height of 200 mm is arranged at the upper part of the gangue concrete for roof contact (Figure 12).Advances in Materials Science and Engineering

Field Monitoring.
A safe RSB material should meet the following three requirements according to different mining geological conditions.First of all, the strength of RSB should be greater than roof load at its location.Evaluation criterion of RSB stability is whether the RSB material breaks down in the process of loading and unloading caused by roof movement.
Secondly, shrinkage should be larger than the fieldmeasured deformation of basic roof.Ability of RSB to adapt to the deformation of basic roof can make full use of the bearing capacity of surrounding rock, reducing the roof load on RSB.
is is an effective way to ensure that its strength is greater than the roof load.
irdly, there is no mutation in the postpeak strength.is means that the material can ensure that the global impact damage will not occur to RSB even if there is local high stress at the gob side.e local slow destruction can be repaired by means of reinforcement, which ensures the safety of RSB.
To analyze the effect of the roadside support, monitoring stations are arranged in the roadway to record the vertical stress and converging deformation during advancement of the working face, as shown in Figure 13.
During backfill GER, the compressive strengths of the roadside support material of various ages satisfy the onsite construction requirement, the max vertical stress in RSB is 3.8 MPa, and the strength safety coefficient is where K is the strength safety coefficient of the gangue concrete material, σ 0 is the average compressive strength of the concrete used in the construction, and σ max is the max vertical stress in RSB, that is, the max workload.
During advancement of the working face, the roof-floor displacement of the roadway was larger than the two-side displacement.e maximum roof-floor displacement was 112 mm, and the maximum two-side displacement was 71 mm. e roadway using gangue cement as RSB material satisfies the design and application requirements.

Conclusions
Based on the current experimental research and field measurements, the following can be concluded: (1) e most effective way to adjust the strength of gangue concrete is to change the water-cement ratio of the cementing material.For a fixed gangue content, with the raising of the water-cement ratio, the strength of gangue concrete demonstrates a nonlinear decreasing trend.e water-cement ratio within the range of 0.46-0.60 has the most significant regulation effect on the strength of the gangue concrete.
(2) Mixing concrete with a certain amount of coal gangue as the aggregate has an important effect on the destruction mode and the postpeak carrying characteristics of the concrete.In the postpeak stage, the stress demonstrates a decreasing trend with an increase of the strain, the process of the crack development is relatively slow, and the gangue concrete has a certain postpeak carrying capacity.(3) Notwithstanding the water-cement ratio, the compressive strength of the gangue concrete demonstrates an increasing trend with age.With the addition of the gangue aggregate, the concrete's hydration and hardening processes are significantly accelerated.At the age of 14 days, the stiffness and strength of the gangue concrete essentially stabilize.(4) Based on the laboratory test results and the law of underground pressure, industrial tests were carried out at the working face of gob-backfilled GER. e monitoring results demonstrate that with a rational proportion design, the use of gangue concrete as a RSB material can meet the design and application requirements of the GER.e feasibility and rationality of gangue concrete as a RSB material for the GER were proved.A RSB material featuring high safety, high waste utilization rate, fast construction speed, and low costs was provided, guaranteeing the RSB stability for the GER.

Figure 1 :
Figure 1: GER of gob roof managed by di erent methods.(a) GER with roof managed by caving method.(b) GER with roof managed by back lling method.

Figure 3 :
Figure 3: Test system and formed samples.

Figure 4 :
Figure 4: Average strength and error of the concrete with di erent water-cement ratios and a gangue content of 50%.

Figure 5 :
Figure 5: Average strength and error of the pure cement samples with di erent water-cement ratios.

Figure 7 :Figure 6 :
Figure 7: Destruction characteristics of the gangue concrete and the pure cement samples with the same water-cement ratio.

Figure 8 :
Figure 8: Average compressive strength of the gangue concrete at di erent ages with di erent water-cement ratios (gangue content: 50%).

Figure 9 :Figure 10 :Figure 11 :
Figure 9: Schematic diagram of the vertical stress distribution in the back lling area.

Figure 12 :Figure 13 :
Figure 12: Roadway support design and e ect.(a) Roadside support design scheme.(b) Roadside support e ect.

Table 1 :
Unconfined uniaxial compression test results for the standard cylindrical gangue samples.

Table 3 :
Strength development degree of the early age gangue concrete.
test mine is in the Shandong Province of China.e ground elevation of the test zone is +32.93 to +33.08 m; the underground elevation is −642 to −636 m; the coal seam strike approximates East-West, trending South; and true dip is at 0 °-3 °.