Method for determining shear bearing capacity of multi-solid waste synergistically reinforced concrete beam

CN117150729BActive Publication Date: 2026-10-23WUHAN UNIV OF TECH
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Patent Information

Application Number
CN202310980666.7
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2023-08-04
Publication Date
2026-10-23
Estimated Expiration
2043-08-04

AI Technical Summary

Technical Problem

多固废协同强化混凝土是一种新型环保混凝土,混凝土构件的抗剪性能不同于以往混凝土,以往的混凝土梁抗剪承载力计算公式无法直接运用于多固废协同强化混凝土梁上

Benefits of technology

[0049]通过特殊的计算公式可以考虑MSWC梁的不同剪跨比,准确计算MSWC梁的抗剪承载力,解决了现有规范抗剪承载力公式不适用于MSWC梁的难题,为MSWC梁的抗剪设计提供了计算依据,为类似混凝土材料梁的计算提供了计算参考;

✦ Generated by Eureka AI based on patent content.

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Abstract

The application discloses a method for determining the shear bearing capacity of a multi-solid waste reinforced concrete beam, which comprises the following steps: 1) testing the basic parameters of the multi-solid waste reinforced concrete beam, and determining the shear-span ratio according to the basic parameters; 2) testing the axial tensile strength f t of the multi-solid waste reinforced concrete, and obtaining the shear V c borne by the multi-solid waste reinforced concrete according to the axial tensile strength f t of the multi-solid waste reinforced concrete; 3) testing the stirrup parameters, and obtaining the shear borne by the stirrup according to the stirrup parameters; and 4) obtaining the shear bearing capacity calculation formula of the solid waste reinforced concrete beam according to the shear bearing capacity of the concrete and the shear bearing capacity of the stirrup. The shear bearing capacity of the MSWC beam can be accurately calculated through the special calculation formula, the problem that the existing specification shear bearing capacity formula is not applicable to the MSWC beam is solved, and the calculation basis is provided for the shear design of the MSWC beam.
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Description

Technical Field

[0001] This invention belongs to the field of bridge and culvert engineering technology in the transportation industry, specifically relating to a method for determining the shear bearing capacity of concrete beams that are synergistically reinforced by multiple solid wastes. Background Technology

[0002] With the development of my country's economy, the discharge of large quantities of industrial solid waste has been increasing year by year. The inability to effectively utilize or treat this massive amount of solid waste has caused serious pollution to our living environment and posed a potential threat to people's production and safety. Therefore, expanding the application of industrial wastes such as phosphogypsum, slag, and steel slag is a major technological need to solve the problem of large-scale accumulation and environmental pollution caused by multiple solid wastes. To address this issue, a multi-solid waste cementitious material was developed using a non-fired method combining slag (50% by mass), phosphogypsum (35% by mass), steel slag (10% by mass), and PⅡ52.5 cement (5% by mass). Multi-solid waste synergistic reinforced concrete beams (MSWC beams) were then prepared using this material. Since the shear resistance of concrete beams is crucial to their structural safety, it is necessary to calculate the shear capacity of the multi-solid waste synergistic reinforced concrete beams to provide a calculation basis for the shear design of MSWC beams and ensure subsequent construction safety.

[0003] Currently, there is considerable research both domestically and internationally on the shear performance of concrete beams. For example, Luo Min et al. elucidated the influence of shear span ratio, steel fiber content, compressive strength, and stirrup ratio on the failure mode, reinforcement stress, and ductility of reinforced ultra-high performance concrete (UHPC) beams. Cui Fa et al., through analysis of experimental data and existing formulas, proposed a formula for calculating the shear capacity of steel fiber reinforced concrete beams without web reinforcement. Hu Chen et al. studied the influence of concrete strength, shear span ratio, longitudinal reinforcement ratio, and concrete density on shear capacity. However, due to the different concrete materials, the shear performance of the components varies significantly, requiring extensive experimentation to innovate the parameters of the calculation formula for the component's bearing capacity. Multi-waste synergistic reinforced concrete is a new type of environmentally friendly concrete. The shear performance of its components differs from that of traditional concrete, and the existing formulas for calculating the shear capacity of concrete beams cannot be directly applied to multi-waste synergistic reinforced concrete beams. Summary of the Invention

[0004] The main objective of this invention is to provide a method for determining the shear bearing capacity of multi-solid-waste synergistic reinforced concrete beams. This method can reasonably and accurately calculate the shear bearing capacity of multi-solid-waste synergistic reinforced concrete beams (MSWC beams), providing a calculation basis for the shear design of MSWC beams.

[0005] The technical solution adopted in this invention is:

[0006] A method for determining the shear capacity of multi-solid waste synergistic reinforced concrete (MSWC) beams includes the following steps: testing the cross-sectional dimensions and shear span length of the MSWC beams; testing the axial tensile strength, stirrup yield strength, and stirrup spacing of the MSWC beams; conducting shear tests on the MSWC beams; obtaining the shear capacity of the MSWC beams; studying the influence of the shear span ratio on the shear capacity of the MSWC beams; performing nonlinear regression analysis on the shear capacity of the MSWC beams based on the experimental data; and establishing a calculation formula for the shear capacity of the MSWC beams.

[0007] The specific steps are as follows:

[0008] 1) Test the basic parameters of the multi-solid waste synergistic reinforced concrete (MSWC) beam, including the cross-sectional width (or rectangular cross-sectional width) b, the effective cross-sectional height h0, and the shear span length a. Determine the shear span ratio λ based on the basic parameters of the multi-solid waste synergistic reinforced concrete (MSWC) beam.

[0009]

[0010] 2) Testing the axial tensile strength f of concrete synergistically reinforced with multiple solid wastes t Based on the synergistic enhancement of the axial tensile strength f of concrete by multiple solid wastes t Obtain the shear force V borne by concrete with synergistic reinforcement of multiple solid wastes c ,

[0011]

[0012] In the formula, α is a general constant and β is a general constant;

[0013] 3) Test the stirrup parameters and obtain the shear force borne by the stirrups based on the stirrup parameters;

[0014] The stirrup parameters include the stirrup yield strength f. yv , the cross-sectional area of ​​the stirrups A sv And the stirrup spacing s, the shear force V borne by the stirrups s for

[0015] 4) The shear capacity V of a multi-solid-waste synergistic reinforced concrete beam is equal to the shear capacity of the concrete plus the shear capacity of the stirrups. Therefore, the formula for calculating the shear capacity of a multi-solid-waste synergistic reinforced concrete beam is:

[0016]

[0017] In the formula, V represents the shear bearing capacity of the multi-solid-waste synergistic reinforced concrete beam, V c To enhance the shear force borne by concrete through the synergistic effect of multiple solid wastes, V s The shear force borne by the stirrups, λ is the shear span ratio, and f is the shear force borne by the stirrups. t denoted as , where is the axial tensile strength of concrete, 'b' is the cross-sectional width of the multi-solid-waste synergistically reinforced concrete beam, 'h0' is the effective cross-sectional height of the multi-solid-waste synergistically reinforced concrete beam, and 'f' is the cross-sectional width of the multi-solid-waste synergistically reinforced concrete beam. yv For the stirrup yield strength, A sv denoted as the cross-sectional area of ​​the stirrup, s as the stirrup spacing, and α and β as general constants;

[0018] The shear bearing capacity of each multi-solid-waste synergistic reinforced concrete beam was obtained through shear tests. Based on the test data, a nonlinear regression analysis was performed on the shear bearing capacity of the multi-solid-waste synergistic reinforced concrete beam, yielding α = 0.58 and β = -1.10.

[0019] The formula for calculating the shear capacity of a multi-solid-waste synergistic reinforced concrete beam is as follows:

[0020]

[0021] The shear span ratio λ, the section width b, and the axial tensile strength of concrete f are used. t Effective height of cross section h0, stirrup yield strength f yv , the cross-sectional area of ​​the stirrups A sv Substituting the value of the stirrup spacing s into formula (2), we obtain the shear bearing capacity of the multi-solid-waste synergistic reinforced concrete beam.

[0022] According to the above scheme, in step 3), the shear force V borne by the stirrups... s The steps to obtain it are as follows:

[0023] The current method used in my country and most countries around the world still relies on experimental research to analyze some of the main influencing factors of beam shear, thereby establishing practical calculation formulas that are semi-theoretical and semi-empirical. The formula for the shear capacity of ordinary reinforced concrete beams under concentrated loads in my country's "Code for Design of Concrete Structures" (GB50010-2010) is as follows:

[0024]

[0025] In the formula, V cs V represents the shear capacity of a concrete beam. c V represents the shear force borne by the concrete. s The shear force borne by the stirrups, where λ is the shear span ratio. f t denoted as , where b is the axial tensile strength of the concrete, b is the cross-sectional width of the concrete beam, h0 is the effective cross-sectional height of the concrete beam, and f is the tensile strength of the concrete beam.yv is the yield strength of the stirrups, and s is the stirrup spacing;

[0026] Based on the analysis of existing specifications and shear factors, it can be seen that in most concrete specifications, the shear capacity of a member is divided into two parts: the shear capacity of the concrete and the shear capacity of the stirrups. Compared with ordinary concrete beams, the difference in shear performance of multi-component concrete beams lies in the shear capacity of the concrete. Therefore, based on the shear capacity formula in the specifications, while keeping the calculation part of the stirrup bending and shear capacity unchanged, the calculation part of the concrete shear capacity is modified.

[0027] Assuming the contribution of concrete to shear resistance (the shear force V borne by the concrete synergistically reinforced by multiple solid wastes) c )use Form; where α and β are general constants; the contribution of stirrups to shear resistance (the shear force V borne by the stirrups). s The same method is used. In this context, the shear failure angle of the inclined section is 45 degrees. The internal forces of the stirrups at the failure section resist the shear force. Therefore, h0 / s represents the number of stirrups (within the same section) contained in the failure section, i.e., the shear bearing capacity of the stirrups.

[0028] According to the above scheme, the steps for determining α and β in step 4) are as follows:

[0029] The shear capacity of each multi-solid waste synergistic reinforced concrete (MSWC) beam was obtained through shear tests. Substituting the parameters of the concrete beam and stirrups into formula (1), formula (4) was obtained.

[0030]

[0031] The shear span ratio λ is the independent variable, the shear bearing capacity V of the multi-solid waste synergistic reinforced concrete (MSWC) beam is the dependent variable, and α and β are general constants. Then, the shear span ratio λ and the shear bearing capacity test value V of the six multi-solid waste synergistic reinforced concrete (MSWC) beams are substituted into formula (4) to obtain six sets of equations as shown in (5).

[0032]

[0033] The Origin software was used to perform nonlinear regression analysis on these 6 sets of equations, and the parameters α = 0.58 and β = -1.10 were obtained.

[0034] This invention also provides a method for manufacturing a multi-solid-waste synergistic reinforced concrete beam, which includes the following steps:

[0035] 1) The following raw materials by mass percentage: 35% phosphogypsum, 50% slag powder, 10% steel slag powder and 5% PⅡ52.5 cement are mixed and ground in a ball mill to produce multi-solid waste cement;

[0036] 2) Use the following raw materials in the following mass proportions: solid waste cement 470-530 kg / m³ 3 Concrete, sand 600-800 kg / m³ 3 Concrete, 5-10mm crushed stone 400-500kg / m 3 Concrete, 10-20mm crushed stone 600-700kg / m³ 3 Concrete, water 140-160 kg / m³ 3 Concrete, water-reducing agent 10-13 kg / m 3 Concrete and alkali activator (6-8% by weight of water) are mixed to produce multi-solid-waste synergistic reinforced concrete beams.

[0037] According to the above scheme, the alkaline activator is prepared by adding 18.5% NaOH to water glass, with a modulus of 1.2.

[0038] According to the above scheme, the sand is medium sand with a fineness modulus of 2.68.

[0039] According to the above scheme, the water-reducing agent is a polycarboxylate (PC) high-efficiency water-reducing agent.

[0040] The present invention also provides a multi-solid-waste synergistic reinforcement concrete beam shear test device, which includes a displacement gauge, a pad block, and a press.

[0041] The displacement gauge is located above the support of the multi-solid waste synergistic reinforced concrete beam and below the mid-span position; the pad is located above the loading point of the multi-solid waste synergistic reinforced concrete beam; the press applies the load to the pad 2.

[0042] This testing device can accurately measure the vertical displacement at the applied load, support, and mid-span. It can also measure the strain of the concrete and stirrups in the shear span zone using strain gauges.

[0043] The present invention also provides a method for conducting shear tests using the above-mentioned multi-solid-waste synergistic reinforcement concrete beam shear test device, the method comprising:

[0044] During the formal loading process, the load was increased step by step, with each load step being 5kN before cracking and held for three minutes.

[0045] After cracking, each load level is 10kN and held for five minutes;

[0046] When the load is reduced to 85% of the ultimate bearing capacity or the concrete in the compression zone is crushed, the beam is judged to have lost its bearing capacity, and the test is terminated.

[0047] This shear test method can complete the shear test of concrete beams under relatively safe conditions, while providing sufficient time for measurement data.

[0048] The beneficial effects of this invention are as follows:

[0049] By using a special calculation formula, different shear span ratios of MSWC beams can be taken into account, and the shear bearing capacity of MSWC beams can be accurately calculated. This solves the problem that the existing standard shear bearing capacity formula is not applicable to MSWC beams, provides a calculation basis for the shear design of MSWC beams, and provides a calculation reference for beams made of similar concrete materials.

[0050] By fitting the parameters of the existing standard formula to the obtained experimental data, and combining the experimental results and calculation results, it can be seen that the calculation model is more reasonable and more practical.

[0051] The method for fabricating concrete beams that synergistically strengthens concrete using multiple solid wastes is simple and easy to operate;

[0052] This invention reuses industrial solid waste, saving energy and protecting the environment;

[0053] The multi-solid-waste synergistic reinforced concrete beams prepared using the above method have good mechanical properties and are worthy of promotion. Attached Figure Description

[0054] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0055] Figure 1 This is a detailed drawing of the reinforcement and cross-sectional dimensions of a multi-solid-waste synergistic reinforced concrete beam. The units of the dimensions in the drawing are mm.

[0056] Figure 2 Flowchart for determining the shear capacity of multi-solid-waste synergistic reinforced concrete (MSWC) beams;

[0057] Figure 3 This is a schematic diagram of the shear resistance test device for multi-solid waste synergistic reinforced concrete (MSWC) beams. In the figure, 1 is a displacement gauge and 2 is a pad. Detailed Implementation

[0058] To make the objectives, technical solutions, and advantages of this invention clearer, the invention will be further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative and not intended to limit the invention.

[0059] Example 1

[0060] A method for fabricating multi-solid-waste synergistic reinforced concrete (MSWC) beams:

[0061] Multi-waste cement is made by mixing and grinding 35% phosphogypsum, 50% slag powder, 10% steel slag powder and 5% PⅡ52.5 cement in a ball mill.

[0062] Use the following raw materials in the specified mass ratio: 500 kg / m³ of solid waste cement. 3 Concrete, sand 747kg / m 3 Concrete, 5-10mm crushed stone 413kg / m 3 Concrete, 10-20mm crushed stone 619kg / m³ 3 Concrete, water 155kg / m 3 Concrete, water-reducing agent 12.5kg / m 3 Concrete and 8% (by weight of water) of alkali activator are mixed to produce multi-solid-waste synergistic reinforced concrete beams.

[0063] The coarse aggregate consists of continuously graded crushed stone with particle sizes of 5–10 mm and 10–20 mm, the fine aggregate (sand) is medium sand with a fineness modulus of 2.68, and the water-reducing agent is polycarboxylate PC high-efficiency water-reducing agent. The alkali activator is prepared by adding 18.5% NaOH to water glass, resulting in a modulus of 1.2. Table 1 shows the mix design of the multi-solid-waste concrete. Referring to the "Standard for Test Methods of Physical and Mechanical Properties of Concrete" (GB / T 50081-2019), the cubic compressive strength f of the multi-solid-waste synergistically reinforced concrete was tested and calculated. cu axial compressive strength f c Splitting strength f ts Elastic modulus E c The experimental results are shown in Table 2.

[0064] Table 1. Mix proportions for concrete containing multiple solid wastes (unit: kg / m³)

[0065]

[0066] Table 2 Mechanical properties of concrete materials synergistically reinforced by multiple solid wastes

[0067] C50 53.2 48.2 3.57 <![CDATA[3.58×10 4 ]]>

[0068] MSWC beam reinforcement and cross-sectional dimension design, such as Figure 1 As shown.

[0069] Example 2

[0070] like Figure 3As shown, the shear resistance testing apparatus for multi-solid-waste synergistic reinforced concrete (MSWC) beams includes a displacement gauge 1, a pad 2, and a press. The load is read by the computer of the press. The displacement gauge 1 is located above the support of the MSWC beam and below the mid-span position, while the pad 2 is located above the loading point of the MSWC beam, and the load is applied to the pad 2.

[0071] Example 3

[0072] The method for conducting shear tests on MSWC beams using the multi-solid-waste synergistic reinforced concrete (MSWC) beam shear test apparatus described in Example 2 is as follows: During formal loading, the load is increased step by step. Before cracking, each load step is 5 kN and held for three minutes; after cracking, each load step is 10 kN and held for five minutes. When the load decreases to 85% of the ultimate bearing capacity or the concrete in the compression zone is crushed, the beam is deemed to have lost its bearing capacity, and the test is terminated.

[0073] Example 4

[0074] See Figure 2 A method for determining the shear bearing capacity of concrete beams with synergistic reinforcement of multiple solid wastes includes the following steps (e.g. Figure 2 (As shown): The cross-sectional dimensions and shear span length of the multi-solid waste synergistic reinforced concrete (MSWC) beam were tested. The axial tensile strength, stirrup yield strength, and stirrup spacing of the MSWC beam were also tested. Shear tests were conducted on the MSWC beam to obtain its shear capacity. The influence of the shear span ratio on the shear capacity of the MSWC beam was studied. Based on the experimental data, a nonlinear regression analysis was performed on the shear capacity of the MSWC beam to establish a calculation formula for its shear capacity.

[0075] The specific steps are as follows:

[0076] Six multi-solid-waste synergistic reinforced concrete (MSWC) beams were designed and fabricated, with two test beams for each shear span ratio to minimize experimental error. The section width b = 150 mm, effective section height h0 = 210 mm, and shear span length a of the MSWC beams were tested (see Table 3). The axial tensile strength f of the concrete was also tested. t =3.57MPa, stirrup yield strength f yv With a strength of 440 MPa and a stirrup spacing of s = 150 mm, shear tests were conducted to obtain the shear capacity of each test beam, as shown in Table 3.

[0077] Table 3 MSWC Beam Parameters and Shear Capacity

[0078]

[0079] This study investigates the influence of shear span ratio on the shear capacity of MSWC beams. Analysis of existing codes and shear factors reveals that in most concrete codes, the shear capacity of a structural member is divided into two parts: the shear capacity of the concrete and the shear capacity of the stirrups. Compared to ordinary concrete beams, the difference in shear performance between MSWC beams and ordinary concrete beams lies in the shear capacity of the concrete. Referring to the calculation formula for the ultimate shear load in the "Code for Design of Concrete Structures," and since the calculation formula for the ultimate shear load of the stirrups is the same, the basic form of the calculation formula for the shear capacity of MSWC beams is determined as follows:

[0080]

[0081] In the formula, V is the shear capacity of the MSWC beam, V c For the shear force borne by MSWC, V s The shear force borne by the stirrups, λ is the shear span ratio, and f is the shear force borne by the stirrups. t denoted as , where b is the axial tensile strength of the concrete, b is the cross-sectional width of the MSWC beam, h0 is the effective cross-sectional height of the MSWC beam, and f is the cross-sectional height. yv For the stirrup yield strength, A sv denoted as the cross-sectional area of ​​the stirrup, s as the stirrup spacing, and α and β as general constants;

[0082] The shear capacity of each multi-solid-waste synergistic reinforced concrete (MSWC) beam was determined by shear tests. Based on the test data, a nonlinear regression analysis was performed on the shear capacity of the MSWC beams, yielding α = 0.58 and β = -1.10. Therefore, the formula for calculating the shear capacity of the MSWC beam is:

[0083]

[0084] The shear span ratio λ, the section width b, and the axial tensile strength of concrete f are used. t Effective height of cross section h0, stirrup yield strength f yv , the cross-sectional area of ​​the stirrups A sv Substituting the value of the stirrup spacing s into formula (2), we obtain the shear bearing capacity of the multi-solid-waste synergistic reinforced concrete beam.

[0085] Specific application examples:

[0086] Table 4 shows a comparative analysis of the calculated and measured values ​​from various standards. Among them, V... exp V is the experimental value. cs1 V' cs1 These are the calculated values ​​from the "Code for Design of Concrete Structures" and the calculated values ​​obtained from the shear bearing capacity calculation method of this invention, respectively.

[0087] Table 4 Comparison of experimental and calculated values

[0088]

[0089]

[0090] As shown in the table above, the calculated values ​​obtained by the shear bearing capacity calculation method of the present invention are consistent with the experimental values. The average error has been reduced by 30%, with an average value of 1.00, a standard deviation of 0.091, and a coefficient of variation of 0.091. This indicates that the shear bearing capacity calculation formula proposed in this invention is applicable to concrete beams with multi-solid-waste synergistic reinforcement and has high reliability.

[0091] It should be understood that those skilled in the art can make improvements or modifications based on the above description, and all such improvements and modifications should fall within the protection scope of the appended claims.

Claims

1. A method for determining the shear bearing capacity of a concrete beam synergistically reinforced with multiple solid wastes, characterized in that: The multi-solid-waste synergistic reinforced concrete beam is manufactured by the following method: 1) The following raw materials by mass percentage: 35% phosphogypsum, 50% slag powder, 10% steel slag powder and 5% PⅡ52.5 cement are mixed and ground in a ball mill to produce multi-solid waste cement; 2) Use the following raw materials in the following mass proportions: solid waste cement 470-530 kg / m³ 3 Concrete, sand 600-800 kg / m³ 3 Concrete, 5-10mm crushed stone 400-500kg / m³ 3 Concrete, 10-20mm crushed stone 600-700kg / m³ 3 Concrete, water 140-160 kg / m³ 3 Concrete, water-reducing agent 10-13 kg / m 3 Concrete and alkali activator (6-8% by weight of water) are mixed to produce multi-solid-waste synergistic reinforced concrete beams; The shear bearing capacity of the multi-solid-waste synergistically reinforced concrete beam is provided by concrete and stirrups, and its determination steps are as follows: 1) Test the basic parameters of the multi-solid-waste synergistic reinforced concrete beam, and determine the shear span ratio based on the basic parameters; The basic parameters of the multi-solid-waste synergistic reinforced concrete beam include the cross-sectional width b, the effective cross-sectional height h0, and the shear span length a; the shear span ratio... ; 2) Testing the axial tensile strength f of concrete synergistically reinforced with multiple solid wastes t Based on the synergistic enhancement of the axial tensile strength f of concrete by multiple solid wastes t Obtain the shear force V borne by concrete with synergistic reinforcement of multiple solid wastes c , V c = ; In the formula, α is a general constant and β is a general constant; 3) Test the stirrup parameters and obtain the shear force borne by the stirrups based on the stirrup parameters; The stirrup parameters include the stirrup yield strength f. yv , the cross-sectional area of ​​the stirrups A sv And the stirrup spacing s, the shear force V borne by the stirrups s for ; 4) The shear capacity V of a multi-solid-waste synergistic reinforced concrete beam is equal to the shear capacity of the concrete plus the shear capacity of the stirrups. Therefore, the formula for calculating the shear capacity of a multi-solid-waste synergistic reinforced concrete beam is: (1) In the formula, V represents the shear bearing capacity of the multi-solid-waste synergistic reinforced concrete beam, V c To enhance the shear force borne by concrete through the synergistic effect of multiple solid wastes, V s The shear force borne by the stirrups. For the shear span ratio, f t denoted as , where is the axial tensile strength of concrete, 'b' is the cross-sectional width of the multi-solid-waste synergistically reinforced concrete beam, 'h0' is the effective cross-sectional height of the multi-solid-waste synergistically reinforced concrete beam, and 'f' is the cross-sectional width of the multi-solid-waste synergistically reinforced concrete beam. yv For the stirrup yield strength, A sv denoted as the cross-sectional area of ​​the stirrup, s as the stirrup spacing, and α and β as general constants; The shear bearing capacity of each multi-solid-waste synergistic reinforced concrete beam was obtained through shear tests. Based on the test data, a nonlinear regression analysis was performed on the shear bearing capacity of the multi-solid-waste synergistic reinforced concrete beam, yielding α=0.58 and β=-1.

10. The formula for calculating the shear capacity of a multi-solid-waste synergistic reinforced concrete beam is as follows: (2) 5) Adjust the shear span ratio , cross-sectional width b, axial tensile strength f of concrete t Effective height of cross section h0, stirrup yield strength f yv , the cross-sectional area of ​​the stirrups A sv Substituting the value of the stirrup spacing s into formula (2), we obtain the shear bearing capacity of the multi-solid-waste synergistic reinforced concrete beam.

2. The method for determining the shear bearing capacity of a multi-solid-waste synergistic reinforced concrete beam according to claim 1, characterized in that: The alkaline activator is prepared by adding 18.5% NaOH to water glass, with a modulus of 1.

2.

3. The method for determining the shear bearing capacity of a multi-solid-waste synergistic reinforced concrete beam according to claim 1, characterized in that: The sand is medium sand with a fineness modulus of 2.

68.

4. The method for determining the shear bearing capacity of a multi-solid-waste synergistic reinforced concrete beam according to claim 1, characterized in that: The water-reducing agent is a high-efficiency polycarboxylate (PC) water-reducing agent.

Citation Information

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