# Cost and CO2 Emission Reduction Effects of a Partially Encased Composite Precast Concrete Beam

Authors: Liufeng Zhang; Yinghua Yang; Jiongfeng Liang
Journal: Advances in Civil Engineering
 (2020)

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## Abstract

In order to study the performance of partially precast partially encased assembled composite beam (PPECB) in reducing costs and reducing carbon dioxide (CO2) emissions, this paper obtained the bearing capacity of PPECBs by a static test. Considering the load conditions and beam height conditions as constraints, the steel-concrete composite beam (SCCB) and reinforced concrete beam (RCB) were optimized and designed based on the principle of fully utilizing the advantages of steel and concrete. On the basis of investigating the quantity of different materials, the cost and CO2 emissions of the three different types of beams were analyzed. The cost and CO2 emission of the PPECB are the lowest, and SCCBs have the highest cost and CO2 emissions. This paper can provide reference for design choice and further research from the perspective of cost and CO2 emission and lay a solid foundation for the realization of economic and environment-friendly buildings.


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## Body

## 1. Introduction

Global warming is a severe environmental challenge facing mankind. The greenhouse effect caused by CO2 emission is a major factor contributing to global warming. According to the Intergovernmental Panel on Climate Change (IPCC) report, the construction industry consumed 40% of the world’s energy and produced 36% of CO2 emissions [1]. Construction activity is one of the main human activities that leads to the increase of CO2 concentration in the global atmosphere [2]. Many countries have increased efforts to reduce greenhouse gases. Such efforts have led to the construction of green buildings throughout the world [3–5]. But in the construction of green buildings, the cost and benefit of additional investment in the process of design and construction have become a concern. Some scholars had analyzed 33 green buildings in California; the results showed that the buildings that reach the Leadership in Energy and Environmental Design (LEED) basic certification of the American Green Building Committee cost 1.84% more than the conventional buildings on average. The additional cost of LEED gold certification is about 2%–5% [6]. The increase in costs is detrimental to any economic behavior, especially in the real estate industry. Therefore, some scholars put forward the concept of green frame in view of the construction process from the perspective of the whole life cycle, expecting to achieve low-cost construction and low CO2 emissions in the construction stage [7–10]. At present, there is no report about green structure in China. From the perspective of green frame, this paper proposes a partially precast partially encased assembled composite beam (PPECB) in order to achieve a low-cost and low CO2 emission green frame, and comparative analysis of RCBs and SCCBs commonly used in China to clarify the effect of three types of beams on cost and CO2 emissions was performed. It can provide reference for design choice and further research from the perspective of cost and CO2 emission.


## 2. Methodology

### 2.1. Introduction of the PPECB

As we all know, the SCCB is a kind of composite beam slab system with relatively fast construction speed (Figure1(a)), which has been applied in the world. In order to improve the mechanical properties of the steel girder, some scholars filled the concrete between the top and bottom flange of the steel girder to form a partially encased composite (PEC) beam slab system (Figure 1(b)), and systematically studied the static mechanical behavior of PEC beams [11–13]. In order to reduce the influence of beams on the indoor space, simplify the construction process, and further improve the performance of beams, some scholars have made further improvements, put forward a PPECB (Figure 1(c)), and studied the short-term mechanical behavior of PPECBs [14], laying a foundation for its engineering application.Figure 1
Evolution of the PPECB. (a) SCCB. (b) PECB. (c) PPECB.
(a)(b)(c)This improved PPECBs consist of two parts: prefabricated part and cast-in-place part. Its detailed cross-section is shown in Figure2.Figure 2
Schematic diagram of the PPECB.The characteristics of cross-section of PPECBs are as follows:(i)
The precast part is made up of precast concrete, longitudinal reinforcement, and unequal width flange I-steel girder(ii)
semiclosed stirrup is placed on the unequal width flange I-steel girder(iii)
The longitudinal reinforcement is bound to the hoop hook of a semiclosed stirrup(iv)
The cast-in-place concrete is poured in a U-shaped groove


### 2.2. Research Process of This Paper

First, the PPEC beam shall be designed and subjected to a static load test to obtain the moment constraint condition and failure mode. Next, on the basis of considering the failure mode, the SCCB and RCB would be designed through the bending moment constraint condition and the beam section height constraint condition, and then the quantity of material for three kinds of beams would be calculated.Second, from the perspective of the whole life cycle, the cost and CO2 emissions of three different types of beams would be calculated by the material conversion rate in the materialization stage.Finally, the conclusion shall be drawn from the calculated cost and CO2 emissions.The procedures of this research are as shown in Figure3.Figure 3
Procedures of this study.


### 2.3. The PPEC Beam Test

According to the purpose and test conditions of this paper, a PPECB specimen was designed with reference to BS EN 1994-1-1 [15], and the size details of the cross-section are shown in Figure 4. The top flange width of I-steel was 100 mm, the width of the bottom flange was 150 mm, the flange thickness was 8 mm, and the web thickness was 6 mm. The mechanical properties of the material were tested. The results are shown in Table 1.Figure 4
Cross-sectional feature information of the PPEC beam.Table 1
Mechanical properties of materials.
Materialfcu (MPa)fy (MPa)fu (MPa)Concrete23.9——I-steel-Q235—287.0442.0Rebar—360.3475 .2fcu, concrete compressive strength; fy, tensile yield strength; fu, tensile ultimate strength.The test was completed on a 500-t pressure-testing machine. The test specimen was simply supported beam. The test used a four-point symmetrical loading method, and the test loading device is shown in Figure5. During the loading process, the load increment of each stage was 10 kN. When the steel was close to yield, the load increment of each stage was reduced to 5 kN per step. When approximately 90% of the estimated ultimate capacity was reached for the specimens, the load was reduced to 5 kN per step. When the ultimate load was reached, the specimen was continuously loaded to failure. During the loading process, the vertical load, displacement, and strain of the concrete and steel were mainly monitored.Figure 5
Test setup and measuring points layout.The specimen was a typical bending failure, and its final state is shown in Figure6. The failure process of the test specimen is as follows: first, the short vertical cracks appeared in the midspan of the specimen. With the increase of the load, the cracks extended upward and increased continuously, and then the lower flange, longitudinal rebars, and some webs yield successively. Finally, the concrete in the compression zone was crushed, the deformation increased sharply, and the bearing capacity decreased.Figure 6
Failure mode of the PPEC beam.Figure7 depicts the load-deflection curve of the specimen. The specimen experienced three stages: elastic, elastoplastic, and plastic failure. In the plastic failure stage, the concrete at the top of the specimen was partially crushed, and the effective compression zone was reduced, which was reflected in the load-deflection curve, that is, the sudden drop in the plastic failure stage, and then the neutral axis moved down, and the bearing capacity was improved. With the continuous loading, more concrete was crushed, and the specimen gradually lost its bearing capacity. The yield load Fy is determined by the method shown in Figure 7 [16]. Then, the yield bending moment was obtained, and its value is 125.97 kN m.Figure 7
Load-deflection curve of the PPEC beam.The strain distribution of steel in midspan is shown in Figure8. It can be seen from Figure 8 that the specimen basically conforms to the plane section assumption in the elastic and elastoplastic stages. But near the failure, the plane section assumption is not satisfied. In the elastic and elastoplastic stages, the neutral axis is basically distributed at the bottom of the concrete slab through observation (Figure 8).Figure 8
Strain distribution of steel in midspan.


### 2.4. Constraint Condition

As a vertical load transfer member of a building structure, the beam is mainly subjected to the bending moment. Therefore, the bending moment is a major constraint. In addition, the failure mode must also be considered, and the specimen needs to be designed as a flexural failure mode. In the case where the height of the building is determined, reducing the beam height can effectively increase the net space of the building. In other words, under the premise of maintaining a net height, the smaller the beam height, the lower the story height, and then reducing the use of building materials, thereby reduces the cost and CO2 emissions. The height of the beam is another important constraint condition.Through the analysis in the previous section, it is found that the neutral axis of the PPECB is basically located at the bottom of the concrete slab, which indicates that the designed beam section can fully exert the performance of concrete and steel. Therefore, the full utilization of both steel and concrete materials is also an important constraint condition.


### 2.5. Design of SCCBs

Under all constraints, the schematic design of SCCBs is shown in Figure9. In order to ensure the yield of steel before concrete crushing, the cross-section design is obtained by equations (1) and (2) according to the code JGJ138-2016 [17]:where fc is the design compressive strength of concrete, fy is the yield strength of steel, the value of fc is according to Chinese code GB5010-2010 [18] and fy is according to Chinese code GB 50017-2017 [19], Ac is the effective pressure area of concrete, As is the area of steel, h1 and h2 are the flange thickness of the slab and the height of I-steel, respectively, and My is the flexural capacity, and its value is 162 kN m.Figure 9
The schematic design of SCCBs.(1)fcAc≥fyAs,(2)My=fyAs×0.5h2≤fcAc×0.5h1,According to the size ofh1 and h2, it can be divided into three kinds of designs. For each of the three cases, a beam section was designed. The detailed design results are shown in Table 2.Table 2
Design parameters of SCCBs.
Itemtwtfh2bbeh1BoltsSlab rebarSCCB1121415020014001002∗D8@100Bottom:X&Y D8@200Top:X&Y D8@200SCCB2141812516012001252∗D8@100Bottom:X&Y D8@200Top:X&Y8@200SCCB3181610018010001502∗D8@100Bottom:X&Y D8@200Top:X&Y D8@200Note. The design value of the steel yield strength is 315 MPa (Q345); D, diameter of reinforcement; @, representative spacing; X&Y, horizontal and vertical.


### 2.6. Design of RCBs

Section design is carried out under restricted conditions. In order to design conformable beam with steel yielding before concrete failure, it can be designed as T-shaped and rectangle-shaped section (Figure10). The design principle is to satisfy the minimum design value of concrete cross-section. The strength of the material and the design method reference the code GB5001-2010. The detailed parameters of RC beams are listed in Table 3.Figure 10
The schematic design of reinforcement concrete beams.Table 3
Design parameters of RCBs.
ItemBfHfbhLongitudinal rebarStirrupRCB17001003002505∗D25D8@100(4)RCB25002506∗D22D8@120(4)Note. D, diameter of reinforcement; @, representative spacing.


### 2.7. The Quantity of Materials of Different Beams

Assuming that all beams length is 2 meters, all material quantities can be calculated. The quantity of calculated results is listed in Tables4, 5, and 6.Table 4
Quantity survey of PPECBs.
ItemUnitPPECBConcretem30.15Steelkg40.31Screwed rebarStirrupkg2.17Longitudinal rebarkg3.55Slab rebarkg11.10Table 5
Quantity survey of SCCBs.
ItemUnitSCCB1SCCB2SCCB3Steelkg89.2691.2490.92Concretem30.280.300.30Boltskg1.441.441.44Screwed rebarkg24.3724.4527.70Table 6
Quantity survey of RCBs.
ItemUnitRCB1RCB2Screwed rebarSlab rebarkg5.65—Stirrupkg11.3815.19Longitudinal rebarkg38.5338.53Constructional rebarkg3.5510.81Concretem30.230.25


## 2.1. Introduction of the PPECB

As we all know, the SCCB is a kind of composite beam slab system with relatively fast construction speed (Figure1(a)), which has been applied in the world. In order to improve the mechanical properties of the steel girder, some scholars filled the concrete between the top and bottom flange of the steel girder to form a partially encased composite (PEC) beam slab system (Figure 1(b)), and systematically studied the static mechanical behavior of PEC beams [11–13]. In order to reduce the influence of beams on the indoor space, simplify the construction process, and further improve the performance of beams, some scholars have made further improvements, put forward a PPECB (Figure 1(c)), and studied the short-term mechanical behavior of PPECBs [14], laying a foundation for its engineering application.Figure 1
Evolution of the PPECB. (a) SCCB. (b) PECB. (c) PPECB.
(a)(b)(c)This improved PPECBs consist of two parts: prefabricated part and cast-in-place part. Its detailed cross-section is shown in Figure2.Figure 2
Schematic diagram of the PPECB.The characteristics of cross-section of PPECBs are as follows:(i)
The precast part is made up of precast concrete, longitudinal reinforcement, and unequal width flange I-steel girder(ii)
semiclosed stirrup is placed on the unequal width flange I-steel girder(iii)
The longitudinal reinforcement is bound to the hoop hook of a semiclosed stirrup(iv)
The cast-in-place concrete is poured in a U-shaped groove


## 2.2. Research Process of This Paper

First, the PPEC beam shall be designed and subjected to a static load test to obtain the moment constraint condition and failure mode. Next, on the basis of considering the failure mode, the SCCB and RCB would be designed through the bending moment constraint condition and the beam section height constraint condition, and then the quantity of material for three kinds of beams would be calculated.Second, from the perspective of the whole life cycle, the cost and CO2 emissions of three different types of beams would be calculated by the material conversion rate in the materialization stage.Finally, the conclusion shall be drawn from the calculated cost and CO2 emissions.The procedures of this research are as shown in Figure3.Figure 3
Procedures of this study.


## 2.3. The PPEC Beam Test

According to the purpose and test conditions of this paper, a PPECB specimen was designed with reference to BS EN 1994-1-1 [15], and the size details of the cross-section are shown in Figure 4. The top flange width of I-steel was 100 mm, the width of the bottom flange was 150 mm, the flange thickness was 8 mm, and the web thickness was 6 mm. The mechanical properties of the material were tested. The results are shown in Table 1.Figure 4
Cross-sectional feature information of the PPEC beam.Table 1
Mechanical properties of materials.
Materialfcu (MPa)fy (MPa)fu (MPa)Concrete23.9——I-steel-Q235—287.0442.0Rebar—360.3475 .2fcu, concrete compressive strength; fy, tensile yield strength; fu, tensile ultimate strength.The test was completed on a 500-t pressure-testing machine. The test specimen was simply supported beam. The test used a four-point symmetrical loading method, and the test loading device is shown in Figure5. During the loading process, the load increment of each stage was 10 kN. When the steel was close to yield, the load increment of each stage was reduced to 5 kN per step. When approximately 90% of the estimated ultimate capacity was reached for the specimens, the load was reduced to 5 kN per step. When the ultimate load was reached, the specimen was continuously loaded to failure. During the loading process, the vertical load, displacement, and strain of the concrete and steel were mainly monitored.Figure 5
Test setup and measuring points layout.The specimen was a typical bending failure, and its final state is shown in Figure6. The failure process of the test specimen is as follows: first, the short vertical cracks appeared in the midspan of the specimen. With the increase of the load, the cracks extended upward and increased continuously, and then the lower flange, longitudinal rebars, and some webs yield successively. Finally, the concrete in the compression zone was crushed, the deformation increased sharply, and the bearing capacity decreased.Figure 6
Failure mode of the PPEC beam.Figure7 depicts the load-deflection curve of the specimen. The specimen experienced three stages: elastic, elastoplastic, and plastic failure. In the plastic failure stage, the concrete at the top of the specimen was partially crushed, and the effective compression zone was reduced, which was reflected in the load-deflection curve, that is, the sudden drop in the plastic failure stage, and then the neutral axis moved down, and the bearing capacity was improved. With the continuous loading, more concrete was crushed, and the specimen gradually lost its bearing capacity. The yield load Fy is determined by the method shown in Figure 7 [16]. Then, the yield bending moment was obtained, and its value is 125.97 kN m.Figure 7
Load-deflection curve of the PPEC beam.The strain distribution of steel in midspan is shown in Figure8. It can be seen from Figure 8 that the specimen basically conforms to the plane section assumption in the elastic and elastoplastic stages. But near the failure, the plane section assumption is not satisfied. In the elastic and elastoplastic stages, the neutral axis is basically distributed at the bottom of the concrete slab through observation (Figure 8).Figure 8
Strain distribution of steel in midspan.


## 2.4. Constraint Condition

As a vertical load transfer member of a building structure, the beam is mainly subjected to the bending moment. Therefore, the bending moment is a major constraint. In addition, the failure mode must also be considered, and the specimen needs to be designed as a flexural failure mode. In the case where the height of the building is determined, reducing the beam height can effectively increase the net space of the building. In other words, under the premise of maintaining a net height, the smaller the beam height, the lower the story height, and then reducing the use of building materials, thereby reduces the cost and CO2 emissions. The height of the beam is another important constraint condition.Through the analysis in the previous section, it is found that the neutral axis of the PPECB is basically located at the bottom of the concrete slab, which indicates that the designed beam section can fully exert the performance of concrete and steel. Therefore, the full utilization of both steel and concrete materials is also an important constraint condition.


## 2.5. Design of SCCBs

Under all constraints, the schematic design of SCCBs is shown in Figure9. In order to ensure the yield of steel before concrete crushing, the cross-section design is obtained by equations (1) and (2) according to the code JGJ138-2016 [17]:where fc is the design compressive strength of concrete, fy is the yield strength of steel, the value of fc is according to Chinese code GB5010-2010 [18] and fy is according to Chinese code GB 50017-2017 [19], Ac is the effective pressure area of concrete, As is the area of steel, h1 and h2 are the flange thickness of the slab and the height of I-steel, respectively, and My is the flexural capacity, and its value is 162 kN m.Figure 9
The schematic design of SCCBs.(1)fcAc≥fyAs,(2)My=fyAs×0.5h2≤fcAc×0.5h1,According to the size ofh1 and h2, it can be divided into three kinds of designs. For each of the three cases, a beam section was designed. The detailed design results are shown in Table 2.Table 2
Design parameters of SCCBs.
Itemtwtfh2bbeh1BoltsSlab rebarSCCB1121415020014001002∗D8@100Bottom:X&Y D8@200Top:X&Y D8@200SCCB2141812516012001252∗D8@100Bottom:X&Y D8@200Top:X&Y8@200SCCB3181610018010001502∗D8@100Bottom:X&Y D8@200Top:X&Y D8@200Note. The design value of the steel yield strength is 315 MPa (Q345); D, diameter of reinforcement; @, representative spacing; X&Y, horizontal and vertical.


## 2.6. Design of RCBs

Section design is carried out under restricted conditions. In order to design conformable beam with steel yielding before concrete failure, it can be designed as T-shaped and rectangle-shaped section (Figure10). The design principle is to satisfy the minimum design value of concrete cross-section. The strength of the material and the design method reference the code GB5001-2010. The detailed parameters of RC beams are listed in Table 3.Figure 10
The schematic design of reinforcement concrete beams.Table 3
Design parameters of RCBs.
ItemBfHfbhLongitudinal rebarStirrupRCB17001003002505∗D25D8@100(4)RCB25002506∗D22D8@120(4)Note. D, diameter of reinforcement; @, representative spacing.


## 2.7. The Quantity of Materials of Different Beams

Assuming that all beams length is 2 meters, all material quantities can be calculated. The quantity of calculated results is listed in Tables4, 5, and 6.Table 4
Quantity survey of PPECBs.
ItemUnitPPECBConcretem30.15Steelkg40.31Screwed rebarStirrupkg2.17Longitudinal rebarkg3.55Slab rebarkg11.10Table 5
Quantity survey of SCCBs.
ItemUnitSCCB1SCCB2SCCB3Steelkg89.2691.2490.92Concretem30.280.300.30Boltskg1.441.441.44Screwed rebarkg24.3724.4527.70Table 6
Quantity survey of RCBs.
ItemUnitRCB1RCB2Screwed rebarSlab rebarkg5.65—Stirrupkg11.3815.19Longitudinal rebarkg38.5338.53Constructional rebarkg3.5510.81Concretem30.230.25


## 3. Results

### 3.1. Cost Analysis

In China, due to the vast area, the cost of building materials varies slightly from place to place, but in general it is not much different. In this paper, the cost of unit materials provided by the local government of Ningbo City, Zhejiang Province, in November 2019 is used as the basis for data calculation and analysis, and the price converted to USD of unit materials is shown in Table7 [20].Table 7
Unit cost of resources.
ItemUnitUnit priceConcreteUSD/m387.26Steel-Q235USD/kg0.57Steel-Q345USD/kg0.58RebarUSD/kg0.60BoltsUSD/kg0.78As shown in Table8, the cost of each material of each specimen can be obtained by Tables 4–7. In order to present visual contrast of data, Table 8 is made into an intuitive histogram. The material cost of each specimen is shown in Figure 11, The cost of different beams is shown in Figure 12.Table 8
The cost of different beams.
MaterialPPECBSCCBRCBSCCB1SCCB2SCCB3RCB1RCB2Concrete13.3224.4326.1826.1820.0721.82I-steel-Q23522.83—————I-steel-Q345—51.8452.9952.80Rebar10.0214.5114.5616.4935.1938.41Bolts—1.131.131.13——Total46.1691.9194.8596.6055.2660.23Note. The bolts are classified into I-steel during statistics.Figure 11
The cost of material for different beams.Figure 12
The cost of each beam.Analysis (Figure11) shows that in the cost composition of each beam, the cost of steel (I-steel and rebar, same bellow) accounts for a large proportion, while the cost of concrete accounts for a small proportion. In SCC beams, when the height is determined, the size of h1 and h2 will affect the distribution of the neutral axis and then the change of the amount of constituent materials and finally the cost. However, as the neutral axis decreases, the cost of steel (I-steel and rebar) will gradually increase in the total cost. In the PPEC beam and RC beam, steel (I-steel and rebar) accounts for a large proportion of the total cost.As illustrated in Figure12, the cost of the PPEC beam is the lowest and the cost of SCCBs is the highest. Among all the SCCBs, the lowest cost is the SCCB1. The cost of RCB1 is lower than that of RCB2. The cost of PPECB, SCCB1, and RCB1 is $323.5, $644.08, and $387.24, respectively. Compared with the three beams of PPECB, SCCB1, and RCB1, the cost of PPECB is 19.7% lower than that of RCB1 and nearly half lower than that of SCCB1. The cost of RCB1 is 39.88% lower than that of SCCB1. With the decrease of the neutral axis along the section height, the cost of SCCBs increases gradually. The cost of RCB1 is 8.25% lower than that of RCB2, which shows that the cost of T-shaped beams is lower than that of rectangular beams under the same load and height.


### 3.2. CO2 Emission Analysis

In China, there is no national standard CO2 emission rate at the materialization stage. Refer to [21–24], and unit CO2 emission rates of materials are listed in Table 9 without considering material recovery. The CO2 emissions of different materials in each beam are obtained through Tables 4–7, as shown in Table 10. For visual representation, the contents of Table 10 are drawn as a histogram. The CO2 emission of each specimen material is shown in Figure 11. The CO2 emission of each beam is shown in Figure 12.Table 9
CO2 emission rate.
ItemUnitCO2 emission rateConcretekg-CO2/m3398.84Steelkg-CO2/kg3.589Rebarkg-CO2/kg3.755Table 10
The quantity of CO2 emission of different beams.
ItemPPECBSCCBRCBSCCB1SCCB2SCCB3RCB1RCB2Concrete84.08154.28165.30165.30126.73137.75I-steel-Q235144.67—————I-steel-Q345—320.37327.48326.30——Rebar63.1791.5191.81104.03221.94242.28Bolts—5.415.415.41——Total291.93571.57590.00601.04348.67380.03Note. The bolts are classified into I-steel during statistics.As shown in Figure13, in each beam, the main source of CO2 emissions is steel (I-steel and rebar). The CO2 emissions from concrete and steel in the PPECB are 60.86 kg and 207.84 kg, respectively. Whether it is concrete or steel, the CO2 emission of PPECB is the lowest of all beams. As mentioned in the previous analysis of cost, h1 and h2 will also affect the composition of SCCB materials and thus the composition of CO2 emissions. When h1 = h2, the CO2 emission ratio of steel in SCCB is 71.98%, which is the lowest among the three SCCBs. In RC beams, the CO2 emission of T-section beams is 8.00% lower than that of rectangular beams, and the steel is 8.40% lower.Figure 13
CO2 emission from materials of different beams.As shown in Figure14, the CO2 emissions of the PPECB, SCCB1, and RCB1 are 268.71 kg, 528.97 kg, 313.68 kg, respectively. Compared with the three, the CO2 emissions of the PPECB are 14.34% lower than those of RCB1, and the emissions of RCB1 are 40.70% lower than those of SCCB1. In SCCBs, CO2 emissions increase with the reduction of the height of the neutral axis along the section. In reinforced concrete beams, CO2 emissions increase with the increase of a cross-section area. Overall, steel has a greater impact on CO2 emissions.Figure 14
CO2 emission from different beams.


## 3.1. Cost Analysis

In China, due to the vast area, the cost of building materials varies slightly from place to place, but in general it is not much different. In this paper, the cost of unit materials provided by the local government of Ningbo City, Zhejiang Province, in November 2019 is used as the basis for data calculation and analysis, and the price converted to USD of unit materials is shown in Table7 [20].Table 7
Unit cost of resources.
ItemUnitUnit priceConcreteUSD/m387.26Steel-Q235USD/kg0.57Steel-Q345USD/kg0.58RebarUSD/kg0.60BoltsUSD/kg0.78As shown in Table8, the cost of each material of each specimen can be obtained by Tables 4–7. In order to present visual contrast of data, Table 8 is made into an intuitive histogram. The material cost of each specimen is shown in Figure 11, The cost of different beams is shown in Figure 12.Table 8
The cost of different beams.
MaterialPPECBSCCBRCBSCCB1SCCB2SCCB3RCB1RCB2Concrete13.3224.4326.1826.1820.0721.82I-steel-Q23522.83—————I-steel-Q345—51.8452.9952.80Rebar10.0214.5114.5616.4935.1938.41Bolts—1.131.131.13——Total46.1691.9194.8596.6055.2660.23Note. The bolts are classified into I-steel during statistics.Figure 11
The cost of material for different beams.Figure 12
The cost of each beam.Analysis (Figure11) shows that in the cost composition of each beam, the cost of steel (I-steel and rebar, same bellow) accounts for a large proportion, while the cost of concrete accounts for a small proportion. In SCC beams, when the height is determined, the size of h1 and h2 will affect the distribution of the neutral axis and then the change of the amount of constituent materials and finally the cost. However, as the neutral axis decreases, the cost of steel (I-steel and rebar) will gradually increase in the total cost. In the PPEC beam and RC beam, steel (I-steel and rebar) accounts for a large proportion of the total cost.As illustrated in Figure12, the cost of the PPEC beam is the lowest and the cost of SCCBs is the highest. Among all the SCCBs, the lowest cost is the SCCB1. The cost of RCB1 is lower than that of RCB2. The cost of PPECB, SCCB1, and RCB1 is $323.5, $644.08, and $387.24, respectively. Compared with the three beams of PPECB, SCCB1, and RCB1, the cost of PPECB is 19.7% lower than that of RCB1 and nearly half lower than that of SCCB1. The cost of RCB1 is 39.88% lower than that of SCCB1. With the decrease of the neutral axis along the section height, the cost of SCCBs increases gradually. The cost of RCB1 is 8.25% lower than that of RCB2, which shows that the cost of T-shaped beams is lower than that of rectangular beams under the same load and height.


## 3.2. CO2 Emission Analysis

In China, there is no national standard CO2 emission rate at the materialization stage. Refer to [21–24], and unit CO2 emission rates of materials are listed in Table 9 without considering material recovery. The CO2 emissions of different materials in each beam are obtained through Tables 4–7, as shown in Table 10. For visual representation, the contents of Table 10 are drawn as a histogram. The CO2 emission of each specimen material is shown in Figure 11. The CO2 emission of each beam is shown in Figure 12.Table 9
CO2 emission rate.
ItemUnitCO2 emission rateConcretekg-CO2/m3398.84Steelkg-CO2/kg3.589Rebarkg-CO2/kg3.755Table 10
The quantity of CO2 emission of different beams.
ItemPPECBSCCBRCBSCCB1SCCB2SCCB3RCB1RCB2Concrete84.08154.28165.30165.30126.73137.75I-steel-Q235144.67—————I-steel-Q345—320.37327.48326.30——Rebar63.1791.5191.81104.03221.94242.28Bolts—5.415.415.41——Total291.93571.57590.00601.04348.67380.03Note. The bolts are classified into I-steel during statistics.As shown in Figure13, in each beam, the main source of CO2 emissions is steel (I-steel and rebar). The CO2 emissions from concrete and steel in the PPECB are 60.86 kg and 207.84 kg, respectively. Whether it is concrete or steel, the CO2 emission of PPECB is the lowest of all beams. As mentioned in the previous analysis of cost, h1 and h2 will also affect the composition of SCCB materials and thus the composition of CO2 emissions. When h1 = h2, the CO2 emission ratio of steel in SCCB is 71.98%, which is the lowest among the three SCCBs. In RC beams, the CO2 emission of T-section beams is 8.00% lower than that of rectangular beams, and the steel is 8.40% lower.Figure 13
CO2 emission from materials of different beams.As shown in Figure14, the CO2 emissions of the PPECB, SCCB1, and RCB1 are 268.71 kg, 528.97 kg, 313.68 kg, respectively. Compared with the three, the CO2 emissions of the PPECB are 14.34% lower than those of RCB1, and the emissions of RCB1 are 40.70% lower than those of SCCB1. In SCCBs, CO2 emissions increase with the reduction of the height of the neutral axis along the section. In reinforced concrete beams, CO2 emissions increase with the increase of a cross-section area. Overall, steel has a greater impact on CO2 emissions.Figure 14
CO2 emission from different beams.


## 4. Conclusion

In this paper, a PPECB is proposed and tested under static loading, and the corresponding constraints are given. According to the constraint conditions, two groups of five comparison specimens were designed and optimized. According to the amount of each specimen of materials, the cost of each specimen of materials and the emission of CO2 were compared and analyzed. The conclusion is as follows.First, a PPECB was proposed according to the basis of previous studies, and the section form and characteristics of the composite beam were introduced in detail. The relevant constraint conditions are determined through the test method. The material quantity of 6 specimens under constraint condition was calculated, which was used for cost and CO2 emission analysis.Second, under constraint conditions, the cost of PPECBs is lower than that of SCCBs and RCBs, and the cost of SCCBs is the highest. Compared with the three beams of PPECB, SCCB1, and RCB1, the cost of PPECB is 19.7% lower than that of RCB1 and nearly half lower than that of SCCB1. The cost of RCB1 is 39.88% lower than that of SCCB1. In all specimens, steel takes up most of the cost.Third, under constraint conditions, the CO2 emission of PPECBs is lower than that of SCCBs and RCBs, and the CO2 emission of SCCBs is the highest. Compared with the three beams of PPECB, SCCB1, and RCB1, the CO2 emissions of the PPECB are 14.34% lower than those of RCB1, and the CO2 emissions of RCB1 are 40.70% lower than those of SCCB1. In all specimens, steel takes up most of the cost.The PPECB has the advantages of low cost and low CO2 emissions. From the perspective of cost and environment protection, the partially precast partially encased composite beam proposed in this paper is basically feasible. It can be a reference for further research on the green building structure system.



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*Source: 7062819-2020-06-08.xml*