**Development and Application of Precast Concrete Double Wall System to Improve Productivity of Retaining Wall Construction**

## **Seungho Kim 1, Dong-Eun Lee 2, Yonggu Kim <sup>3</sup> and Sangyong Kim 3,\***


Received: 31 March 2020; Accepted: 10 April 2020; Published: 23 April 2020

**Abstract:** The construction of most apartment underground parking lots utilizes reinforced concrete (RC) structures composed mainly of rebar work and formwork. RC structures lower construction efficiency and significantly delay the construction because they require a large number of temporary materials and wooden formwork. In this study, a precast concrete double wall (PCDW) system was developed to address the existing problems of RC structures and to improve the productivity of retaining wall construction. PCDW is a precast concrete (PC) wall in which two thin concrete panels are connected parallel to each other with truss-shaped reinforcement between them. PCDW can contribute to securing integrity, reducing the delay in construction, and improving quality. An overall process for the member design and construction stage of the PCDW system was proposed, and its improvement effects were examined regarding various aspects in comparison to the RC method.

**Keywords:** reinforced concrete; precast concrete double wall; retaining wall; lateral pressure; lateral bending

## **1. Introduction**

Recent construction projects have actively used various improved methods to shorten the construction period and improve efficiency. However, the construction of most apartment underground parking lots utilizes reinforced concrete (RC) structures mainly composed of rebar work and formwork [1]. The construction of these parking lots affects the entire construction period of a project. Their construction must be completed early because underground parking lots are used as rebar workplaces for the construction of ground parts, and as storage yards for building finishing materials. However, RC structures have low construction efficiency and, most significantly, delay construction because they require temporary materials in large quantities and wooden formwork [2,3]. Therefore, there has been a growing need for measures to improve underground parking lot structure systems capable of addressing these problems. Employment of precast concrete (PC) method has been gradually increasing for this purpose [4,5]. The PC method enables efficient construction management, such as shortening the construction period and saving labor cost, because high-quality standardized members are produced in factories and assembled at sites [6,7]. It has also become advanced and has been widely used since its development in the mid-1800s owing to its higher constructability and productivity than the RC method [8–10]. However, for the construction of most retaining walls, the PC method is replaced with a combination of PC and RC processes resulting in frequent defects due to the occurrence of various cracks at the joints [11]. Furthermore, studies have been conducted on

various methods, including joining methods and performance verification, to be applied to special members involving difficult construction such as apartment framework, balconies, stairs, railings, and underground parking lots [12–16].

Ji and Choi [17] researched a method of manufacturing an integrated wall by installing a link beam on the inside and outside walls of a PC and applied the method to common and reservoir walls. Furthermore, Park [18] proposed a method of forming a wall by fastening a PC panel and a panel with anchor bolts, while Oh et al. [19] conducted a study to confirm the advantages of the corresponding wall in the area of air shortening. In addition, Yang et al. [20] produced a double-synthetic precast wall with a double T-shaped PC panel facing each other to secure the economy and safety of the basement wall construction and then conducted experiments on the bending and shear behavior of the specimen. The method of pouring topping concrete after PC installation was applied also to slabs and columns. For slabs, double tee slabs, hollow slabs, and half PC slabs were identified [21]. In the case of columns, the hollowed precast concrete (HPC) column was produced by centrifugally molding a hollow PC part in the factory and pouring concrete into the field [22]. It was confirmed that the difference in performance between the existing RC structure and the HPC column was applicable to the seismic structure system. In addition, Roh and Hashlamon [23] and Kim and Kang [24] presented a development for piers and bridge columns through pouring concrete in the hollow precast and further conducted a study to analyze the seismic performance. In the case of a typical PC method, stress discontinuity due to inter-component disconnection is formed at the joint; thus, it is not easy to achieve the same performance as that of the RC structure. Furthermore, such a method may fail if the external wall support is insufficient, and there is risk of a safety accident. Therefore, the composite method of combining PC and topping concrete is increasing [17].

This study intends to present an application method for the precast concrete double wall (PCDW) system that is more suitable for retaining wall construction than the existing method. PCDW refers to a PC wall in which two thin concrete panels are connected parallel to each other with a truss-shaped reinforcement between them. As PCDW is connected to adjacent panels by pouring concrete between the panels, the completed wall achieves integrity. Furthermore, shortening of the construction period, quality management, and waste reduction can also be expected.

In this study, important factors in the processes of the design, production, installation, and completion of the PCDW system are examined to propose measures to activate the method. Further, an overall process for the member design and construction stage of the PCDW system was proposed, and its improvement effects were examined by applying it to actual construction sites. During the member design stage, the main examination items were analyzed considering the mechanical behavior of the joints, and appropriate member connection and joining methods were derived. Therefore, measures of securing the integrity of the joints of each PCDW member with vertical, corner, horizontal, and foundation concrete were presented. Furthermore, a pull-out test of headed bar was conducted in this study to evaluate the connection performance of the vertical and horizontal joints of PCDW. PCDW should resist the lateral pressure of concrete during the pouring process and curing period. Hence, the PCDW member design was examined based on the criteria suggested by the South Korean Building Code (KBC2009) and the Structural Design Standards and Commentary for Precast Concrete Prefabricated Buildings (1992). During the PCDW construction stage, an overall construction process, from the installation process to the pouring of concrete into the PCDW void, was established and verified through a case study. The benefits of the PCDW system were then examined based on various aspects via a comparison with the reinforced concrete (RC) method, which was applied to the construction of most apartment underground parking lots.

## **2. Development of Precast Concrete Double Wall System**

## *2.1. Securing the Integrity of PCDW Joints*

Retaining wall construction through the PCDW system requires appropriate geometry and reinforcement of the joints. Examination of the retaining wall construction cases that used RC structures showed that the retaining wall thickness was in the range of 400–600 mm. In addition, the vertical and horizontal rebars of walls were reinforced with wall-rebar ratio in the range of 0.002–0.007 to resist external forces such as earth pressure. In some cases, the upper and lower parts of walls required shear reinforcement. This study aims to propose the geometry, details, and reinforcement method of panels for the retaining walls of a structure based on the commonly used 400 mm wall thickness. In a PCDW system, two thin concrete panels are connected parallel to each other. Therefore, to secure the integrity of the panels, lattice bars were fabricated and placed at the center of these panels as shown in Figure 1.

**Figure 1.** Panel configuration and lattice bar details of the precast concrete double wall (PCDW) system.

## *2.2. PCDW Joint Configuration*

The PCDW system requires panel-to-panel joints with vertical joints to connect the left and right panels, horizontal joints to connect the upper and lower panels, and wall-foundation joints to connect the panels and foundation concrete. The joints require appropriate reinforcement to achieve integrated behavior against the stress and deformation caused by out-of-plane loading applied to the walls on both sides.

When the PCDW system is applied to the basement, it is necessary for the vertical joints to secure resistance performance against the bending moment through separate resistance mechanisms for safety against loads such as earth pressure. To address this problem, connection using standard hook (180◦ hook type) rebars, headed bars, or wire welding can be used. For the horizontal joints between the upper and lower walls composed of PCDW panels, sufficient resistance performance is required against the bending moment and shear force that may occur at the joints under vertical forces such as earth and hydraulic pressures. However, as the vertical wire welding applied to panels is discontinuous, separate resources are required at the joints to resist the bending moment. Connection using standard hook rebars or headed bars or lap splice using straight rebars can be used for the purpose. The joints between PCDW and the foundation can be constructed with concrete after assembling the dowel bars in the cast-in-place concrete foundation plate or PC foundation plate to be placed in the void of the PCDW. As the retaining walls of a structure are subjected to large wall end moment and shear force due to loads such as earth pressure, the joints between PCDW and the foundation can sufficiently resist such stress. In this instance, the dowel bars can provide the tensile force due to the bending moment, and the required shear strength can be obtained by the concrete filling the void of PCDW and the vertically arranged lattice bars. Figure 2 shows the lattice bar types and joining methods available for each joint.

**Figure 2.** Joining methods for each PCDW joint.

## *2.3. Headed Bar Performance Evaluation*

Although the headed bars used at PCDW joints may vary in size and geometry, appropriate guidelines are not sufficient in South Korea. Therefore, analysis is required for specific geometry. Hence, a pull-out test was conducted in this study to evaluate the connection performances of the vertical and horizontal joints of PCDW. In the pull-out test, the tensile strength and anchorage capacity of the ten test pieces of the developed headed bar were evaluated by burying them in concrete and applying pull-out loads (Figure 3).

**Figure 3.** Headed bar conduct analysis.

The specified strength of the concrete used for the test pieces was 24 MPa, and the size of the test pieces was ∅ 100 × 200 mm. Tests on the compressive strength of concrete were conducted on the 7th, 14th, and 28th days after the fabrication of the test pieces. The strength of concrete was determined by averaging the values obtained from three test pieces. For the fabrication of the headed bar, screw threads were machined at the end of the D13 (Deformed bar, Yield Strength = 400 MPa, Unit weight = 0.995 kg/m) deformed bar and a head was attached.

The results of the pull-out test on the headed bar showed that the ten test pieces did not exhibit any cracks or fractures in concrete during the pull-out test, and most of them failed at the position of the strain measuring gauge attached in the middle of the deformed bar (Table 1). Figure 4 shows the load-strain relationship of the pull-out test. The average of the maximum loads was 73.8 kN, which was higher than the yield strength. It was confirmed that failure occurred in a plastic deformation state that exceeded the yield strain. This indicates that the developed headed bar is suitable for securing the yield strength of rebars. However, machining the screw heads reduces the cross-sectional area of the deformed bar of the headed bar by approximately 10%. Hence, it is necessary to set 90% of the cross-sectional area of the deformed bar as the effective cross-sectional area for the headed bar that is to be used as a joint reinforcement.


**Table 1.** Results of the pull-out test on the headed bar.

**Figure 4.** Load-strain relationship of the headed bar.

## **3. PCDW Design through the Examination of Lateral Pressure and Bending**

## *3.1. PCDW Member Design*

For PCDW, cast-in-place concrete poured into the space between PC panels. Therefore, PCDW should resist the lateral pressure of concrete during the pouring process and the curing period. The lateral pressure is determined by the unit weight, pouring height, pouring speed, and temperature. Detailed examination of pouring plans and partition height calculation is required before the concrete pouring. In this study, the PCDW member design was examined based on the criteria suggested by the South Korean Building Code (KBC2009) and the Structural Design Standards and Commentary for Precast Concrete Prefabricated Buildings (1992). Figure 5 shows the PCDW member design conditions.

**Figure 5.** PCDW member design conditions.

## *3.2. Examination of Lpressure and Bending*

Equations (1)–(3) is the lateral pressure calculation formula for concrete poured by general internal vibro-compaction for which the concrete slump is ≤175 mm and the depth is ≤1.2 m. The equation can be used for walls when the pouring speed is <2.1 m/h and the pouring height is <4.2 m. In the equation, "p" is the horizontal pressure (Kn/m2), "R" is the pouring speed (m/h), and "T" is the concrete temperature in the formwork (◦C). "Cw" is the unit weight factor with a value of 1 corresponding to the unit weight ranging from 22.5 to 24 N/m3, which was used based on the South Korean Building Code (KBC2009). "Cc" is the chemical additive factor with a value of 1 corresponding to the type 1, 2, and 3 cement of KS L 5201 that uses no retarder.

$$\mathbf{p} = \mathbb{C}\_{\text{w}} \mathbb{C}\_{\text{c}} \mathbf{7}.2 + \frac{790 \mathbf{R}}{T + 18} \tag{1}$$

$$\mathbb{C}\_{w} = \mathbb{C}\_{\mathfrak{c}} = 1.0 \tag{2}$$

$$\text{p} = 7.2 + \frac{790 \times 2}{35 + 18} = 37.1 \text{ kN/m}^2 \tag{3}$$

The flexural strength of PCDW was calculated using a panel thickness of 60 mm and a lattice bar spacing of 500 mm. Equations (4)–(7) shows the results of the working load moment (*M*), bending stress (σ), allowable tensile stress under crack width limitation (*ft*), and flexural reinforcement (*Mu*). Equations (8)–(12) shows the results when the inside of the PCDW panel was reinforced with wire welding (<sup>∅</sup> <sup>8</sup> <sup>×</sup> <sup>150</sup> <sup>×</sup> 150 (fy <sup>=</sup> 400 MPa)).

$$M = \frac{pL^2}{8} = \frac{37.1(0.5)^2}{8} = 1.159 \text{ km} \tag{4}$$

$$
\sigma = \frac{M}{Z} = \frac{M}{bh^2/6} = \frac{6(1.159)}{1(0.06)^2} = \frac{1931.7 \text{ kN}}{\text{m}^2} = 1.9 \text{ MPa} \tag{5}
$$

$$f\_t = 0.63\sqrt{f\_{ck}} = 0.63\sqrt{35} = 3.73 \text{ MPa} > 1.4 \text{ MPa} - o.k. \tag{6}$$

*Sustainability* **2020**, *12*, 3454

$$M\_{\rm u} = 1.2 \times 1.159 = 1.39 \text{ kNm} \tag{7}$$

$$A\_s = 333 \text{ mm}^2/\text{m} \tag{8}$$

$$a = \frac{A\_s f\_y}{0.85 f\_{ck} b} = \frac{333 \times 400}{0.85 \times 35 \times 1000} = 4.5 \text{ mm} \tag{9}$$

$$d = \frac{60}{2} = 30 \text{ mm} \tag{10}$$

$$
\angle M\_n = \angle A\_s f\_y \left( d - \frac{a}{2} \right) = 0.85 \times 333 \times 400 \times \left( 30 - \frac{4.5}{2} \right) \times 10^{-6} \tag{11}
$$

$$= 3.14 \text{ kNm} > 1.39 \text{ kNm} - o.k.\tag{12}$$

Equations (13)–(16) shows the shear performance based on the PCDW lateral pressure examination results. "*Vu*" is the ultimate shear force in the cross section, and "∅" is the strength reduction factor.

$$V = \frac{pL}{2} = \frac{37.1(0.5)}{2} = 9.275 \text{ kN} \tag{13}$$

$$V\_{\mu} = 1.2 \times 9.275 = 11.13 \text{ kN} \tag{14}$$

$$\mathcal{Q}V\_{\text{ll}} = \mathcal{Q}\left(\frac{1}{6}\right)\sqrt{f\_{\text{ck}}}b\_{\text{w}}d = 0.75\left(\frac{1}{6}\right)\sqrt{35}(1000)(30)\left(10^{-3}\right) \tag{15}$$

$$=22.19\text{ kN} > 11.13\text{ kN} - o.k.\tag{16}$$

Equations (17)–(19) shows the shear connector examination results, and the safety factor (n) according to the tensile force (∅T*n*) and working load (T*u*) of the shear connector (lattice bar ∅10 at 500, *fy* = 400 MPa). Equations (20) and (21) shows the deflection examination (δ) results for the lateral pressure of PCDW.

$$
\angle T\_n = \angle A\_s f\_y = 0.85 \times 71 \times 400 = 24.1 \text{ kN} \tag{17}
$$

$$T\_u = 1.2 \times p \times L \times \text{@Tie} - \text{bar} = 1.2 \times 37.1 \times 0.5 \times 0.5 = 11.13 \text{ kN} \tag{18}$$

$$n = 24.1/11.13 = 2.16 > 2 - o.k.\tag{19}$$

12

$$\delta = \frac{5pL^4}{384BI} = \frac{5PL^4}{384\Big(6500\sqrt[3]{f\_{ck}}\Big)\Big(\frac{\text{kJ}^3}{12}\Big)} = \frac{5(37.1)(500)^4}{384\Big(8500\sqrt[3]{75}\Big)(1000)(60)^3} \tag{20}$$

$$i = 0.06 \text{ mm} < \frac{L}{360} (= 1.39 \text{ mm}) - o.k.\tag{21}$$

## **4. Field Application of the PCDW System**

## *4.1. PCDW Construction Sequence*

The case study site for this study was a new apartment construction site, which included six buildings (two basement stories and 25 ground stories). The PCDW system was applied to the retaining walls of underground parking lots, and a total of 100 units were used. Figure 6 shows the layout of the site and the installation plan by section and the PCDW construction sequence.

**Figure 6.** PCDW construction plan and flowchart.

Figure 7 shows the main construction process of PCDW, and its contents are as follows:




**Figure 7.** Main construction process of PCDW.

## *4.2. Analysis of the E*ff*ect of PCDW System Application*

In this study, the actual effects of the application of the PCDW system, which improved the existing PC method, were examined on the basis of various aspects via a comparison with the RC method. Table 3 shows the effects of the PCDW system that were verified through the case study.


**Table 3.** Comparison between the RC and PCDW methods.

The actual cost comparison was calculated based on the material and labor costs. The material cost of the RC method consisted of the concrete, form rebar, grinding, and plastering works. Based on this, labor costs were calculated according to the number of workers required to perform each task. The material cost of the PCDW method consisted of the PC panels and concrete poured into the PCDW void, and the labor cost was calculated according to the number of workers required for each work performance. The PCDW method was able to reduce the cost by omitting formwork and rebar work compared with the RC method, but the PC panel cost was added. As a result, the cost difference between the two methods was approximately 1%. In addition, both methods required lifting equipment, but no additional cost was required, as T/C had already been installed at the site.

The primary benefit of the PCDW system compared to the existing RC method is the shortening of the construction period. As the PCDW system is 100% produced in factories for on-site installation, it does not need formwork for concrete pouring, which requires a considerable amount of time as in the case of the RC method. It can also reduce the framing construction period by approximately 40%. Figure 8 compares the progress schedule of the RC method with that of the PCDW system to examine the construction period of apartment retaining walls (pillar + beam + wall). The progress schedules show the number of days required for each process for a 30.8 m × 4 m (one floor with 4 spans) floor size, and it was calculated based on one formwork team (seven persons).

**Figure 8.** Comparison of basement framing construction periods.

## **5. Conclusions**

This study proposed an overall process for applying the precast concrete double wall (PCDW) system, which addressed the drawbacks of the precast concrete (PC) method, to actual construction sites. Particularly, measures to secure the integrity of the joints of each PCDW member with vertical, corner, horizontal, and foundation concrete were presented. Member design was performed considering concrete lateral pressure, and pouring plans and partition height calculation were examined in detail. In addition, the benefits of the PCDW system were examined based on various aspects via a comparison with the reinforced concrete (RC) method, which has been applied to the construction of most apartment underground parking lots.

The currently applied PC method has the disadvantages that the PC and RC processes are mixed, workability is poor, and construction management is cumbersome because only the inner columns, beams, and slabs are applied, except for the retaining walls. Therefore, the introduction of the PCDW system is expected to simplify construction management and improve the constructability because PC can be used for the entire framework of apartment underground parking lots. In addition, it is expected to enable active improvements to the construction site situation, in which the lack of skilled workers, such as form and reinforcement workers, worsens the situation. However, as the application of the PCDW system was limited to the external walls of apartment underground parking lots in this study, additional case studies are required for its application to entire buildings. Furthermore, the examination of economic efficiency presents limitations because only the construction cost of basement framing construction was identified. Although the shortening of the construction period reduces the total construction cost due to the reduction of indirect cost, construction cost analysis is

required considering other elements in addition to the cost of basement framing construction analyzed in this study.

**Author Contributions:** In this paper, S.K. (Seungho Kim) designed the research framework and wrote the paper. D.-E.L. and Y.K. collected and analyzed the data. S.K. (Sangyong Kim) conceived the methodology and developed the ideas. All authors have read and agreed to the published version of the manuscript.

**Funding:** This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. NRF-2018R1A5A1025137).

**Conflicts of Interest:** The authors declare no conflict of interest.

## **References**


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