CN111400801B - Method for determining shear bearing capacity of light ultra-high performance concrete beam - Google Patents
Method for determining shear bearing capacity of light ultra-high performance concrete beam Download PDFInfo
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- 239000011374 ultra-high-performance concrete Substances 0.000 title claims abstract description 74
- 238000000034 method Methods 0.000 title claims abstract description 31
- 238000010008 shearing Methods 0.000 claims abstract description 43
- 238000012360 testing method Methods 0.000 claims abstract description 34
- 239000004567 concrete Substances 0.000 claims abstract description 18
- 238000004364 calculation method Methods 0.000 claims abstract description 15
- 238000000611 regression analysis Methods 0.000 claims abstract description 5
- 230000006835 compression Effects 0.000 claims description 2
- 238000007906 compression Methods 0.000 claims description 2
- 238000013461 design Methods 0.000 abstract description 2
- 239000004574 high-performance concrete Substances 0.000 description 6
- 238000011160 research Methods 0.000 description 5
- 238000010276 construction Methods 0.000 description 4
- 125000006850 spacer group Chemical group 0.000 description 3
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- 238000004458 analytical method Methods 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000005290 field theory Methods 0.000 description 1
- 239000000463 material Substances 0.000 description 1
- 238000009417 prefabrication Methods 0.000 description 1
- 230000002787 reinforcement Effects 0.000 description 1
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Abstract
The invention discloses a method for determining the shear bearing capacity of a light ultra-high performance concrete beam. The method is characterized by comprising the following steps: testing the section width, the section effective height and the shearing span length of the LUHPC beam, testing the compressive strength of the concrete axle center, the yield strength of hoops and the spacing of the hoops, carrying out a LUHPC beam shearing test to obtain the shearing bearing capacity of the test beam, researching the influence rule of the shearing span ratio and the hooping rate on the shearing bearing capacity of the LUHPC beam, carrying out nonlinear regression analysis on the shearing bearing capacity of the LUHPC beam by utilizing a differential evolution method, and establishing a calculating formula of the shearing bearing capacity of the LUHPC beam; substituting the required data into a calculation formula to obtain the shear bearing capacity of the light ultra-high performance concrete beam. The method solves the problem that the conventional standard shear bearing capacity formula is not suitable for the LUHPC beam, and provides technical support for the shear design of the LUHPC beam. The method can accurately determine the shear bearing capacity of the LUHPC beam, and is simple and feasible.
Description
Technical Field
The invention belongs to the technical field of bridge and culvert engineering in the transportation industry, and particularly relates to a method for determining the shear bearing capacity of a light ultra-high-performance concrete beam.
Background
With the high-speed development of Chinese economy, cities are expanding increasingly, urban population density is increasing, and traffic jam problems are becoming serious. Urban viaduct and overpass junction engineering are important means for relieving traffic jam, but most of the current urban viaduct construction has narrow construction sites, large environmental pollution and great mutual interference with surrounding buildings and traffic. The construction method adopting prefabrication and assembly is a development trend of building urban bridges, and has the advantages of shortening site construction time, reducing environmental pollution, reducing traffic management cost, reducing labor cost and the like. The existing high-performance concrete widely used in bridge engineering still has the problems of large structural weight, low strength and the like when applied to prefabricated assembled bridges. Light ultra-high performance concrete (Lightweight Ultra-High Performance Concrete, LUHPC for short) density less than 2100kg/m 3 Compressive strength higher than 110MPa, splitting tensile strength higher than 12MPa, and LUHPC energy compared with high-performance concreteThe self weight of the structure can be remarkably reduced, the cross section size is reduced, and the durability of the structure is enhanced. The shear performance of the concrete beam is critical to the structural safety of the concrete beam, but the shear performance of the LUHPC is not clear when the LUHPC is applied to a bridge structure, so that the test research of the shear performance of the LUHPC beam is required to be carried out, and a method for determining the shear bearing capacity of the light ultra-high performance concrete beam is obtained, thereby laying a theoretical foundation for popularization and application of the light ultra-high performance concrete beam in the bridge structure.
In recent years, students at home and abroad consider factors such as different shear span ratios, hoop distribution rates, longitudinal bar distribution rates, prestress levels and the like to develop a series of researches on the shear resistance of high-performance concrete and ultra-high-performance concrete beams, and the shear resistance bearing capacity and the damage form change rule of the high-performance concrete beams are defined; according to different theoretical methods, such as: the truss arch model, the inclined pressure field theory, the compression bar-pull bar model, the plasticity theory, the limit balance theory, the statistical analysis method and the like provide various shear bearing capacity calculation formulas of the high-performance concrete beam, and compile a plurality of high-performance concrete shear bearing capacity calculation standards and specifications. However, the research and the achievement are all aimed at high-performance concrete, and the research on the shearing resistance of the novel material for the light-weight ultra-high-performance concrete applied to the structure is not yet developed, and the method for determining the shearing resistance bearing capacity of the light-weight ultra-high-performance concrete beam is not obtained yet. The method for determining the shear bearing capacity of the light ultra-high performance concrete beam solves the problem that the conventional standard shear bearing capacity formula is not suitable for the LUHPC beam, and provides technical support for the shear design of the LUHPC beam.
Disclosure of Invention
The invention aims to provide a method for determining the shear bearing capacity of a light ultra-high performance concrete beam, which can accurately determine the shear bearing capacity of a LUHPC beam and is simple and easy to implement.
In order to achieve the above purpose, the technical scheme adopted by the invention is as follows: the method for determining the shear bearing capacity of the light ultra-high performance concrete beam is characterized by comprising the following steps of: the method comprises the steps of testing the cross-section width, the effective height and the shearing span length of a light ultra-high performance concrete (Lightweight Ultra-High Performance Concrete, abbreviated as LUHPC) beam, testing the axial compressive strength, the stirrup yield strength and the stirrup spacing of the light ultra-high performance concrete (LUHPC), carrying out a shearing test on the light ultra-high performance concrete (LUHPC) beam to obtain the shearing bearing capacity of the light ultra-high performance concrete (LUHPC) beam, researching the influence rule of the shearing span ratio and the hoop distribution ratio on the shearing bearing capacity of the light ultra-high performance concrete (LUHPC) beam, and establishing a calculation formula of the shearing bearing capacity of the light ultra-high performance concrete (LUHPC) beam by utilizing a differential evolution method.
According to the technical scheme, the shear bearing capacity of the LUHPC beam is provided by concrete and stirrups, and the concrete steps are as follows:
1) Light Ultra High Performance Concrete (LUHPC) beams were tested for basic parameters including cross-sectional width (or: rectangular cross-sectional width) b, cross-sectional effective height h 0 And the length a of the shearing span section, and determining the shearing span ratio lambda;
2) Testing the axial compressive strength f of Lightweight Ultra High Performance Concrete (LUHPC) c The contribution of concrete against shearing is adoptedForm of (c); wherein A is a general constant and B is a general constant;
3) Testing stirrup parameters, including stirrup yield strength f yv Stirrup cross-sectional area A sv And the stirrup spacing s, determining the hooping rateThe stirrup contributes to the shearing resistance by adopting (Clambda+D) rho sv f yv bh 0 Form of (c); wherein C is a general constant and D is a general constant;
4) The method comprises the steps of experimentally researching the influence rule of a shear span ratio and a hoop distribution ratio on the shear bearing capacity of a light ultra-high performance concrete (LUHPC) beam, and determining that the shear bearing capacity of the light ultra-high performance concrete (LUHPC) beam consists of a shear force provided by concrete and a shear force provided by hoops by referring to influence parameters considered by the existing specifications; considering the influence of the shear span ratio on the shear contribution of the concrete and the stirrup, the basic form of a Light Ultra High Performance Concrete (LUHPC) beam shear bearing capacity calculation formula is as follows:
wherein V is the shear bearing capacity of a Light Ultra High Performance Concrete (LUHPC) beam, V c Shear force borne by Light Ultra High Performance Concrete (LUHPC), V s The shear force borne by stirrups is lambda is the shear-span ratiof c B is the section width of a light ultra-high performance concrete (LUHPC) beam, h is the compressive strength of the concrete axle center 0 Is the effective height of the cross section of a Lightweight Ultra High Performance Concrete (LUHPC) beam, ρ sv For the rate of hooping, f yv For stirrup yield strength, A, B, C, D is a generally constant;
according to a shear test, the shearing bearing capacity of each light ultra-high performance concrete (LUHPC) beam is obtained, and a differential evolution method is utilized to carry out nonlinear regression analysis on the shearing bearing capacity of the light ultra-high performance concrete (LUHPC) beam, so that A=2.49, B=0.11, C=0.78 and D=0.67 are obtained;
the shear capacity calculation formula of the Lightweight Ultra High Performance Concrete (LUHPC) beam is as follows:
5) The shear span ratio lambda, the section width b and the concrete axle center compressive strength f are measured c Effective height h of cross section 0 Rate ρ of hooping sv Yield strength f of stirrup yv And (3) substituting the value of the formula (2) to obtain the shear bearing capacity of the light ultra-high performance concrete beam.
The beneficial effects of the invention are as follows: 1. the shear load capacity of the LUHPC beam can be precisely determined in consideration of different shear span ratios and hoop ratios of the LUHPC beam. 2. The determination method of the shear bearing capacity of the LUHPC beam is simple and feasible, and has great practical engineering application value.
Drawings
Fig. 1 is a detailed view of reinforcement and cross-sectional dimensions of a lightweight ultra-high performance concrete beam. In FIG. 1 (a) is ρ sv Graph at=0.17%; in FIG. 1 (b) is ρ sv Graph at=0.25%; in FIG. 1 (c) is ρ sv Graph at=0.45%; in FIG. 1 (d) is ρ sv Graph at=0.75%.
Fig. 2 is a flow chart of the determination of shear load capacity of a Lightweight Ultra High Performance Concrete (LUHPC) beam of the present invention.
Fig. 3 is a view of a shear test apparatus for a Lightweight Ultra High Performance Concrete (LUHPC) beam according to the present invention, 1 is a dial gauge, 2 is a spacer, and 3 is a load cell.
The dimensions in the figures are in mm.
Detailed Description
The present invention will be further described with reference to examples and drawings, but the present invention is not limited thereto.
LUHPC Liang Peijin and cross-sectional sizing, as shown in fig. 1.
The method for determining the shear bearing capacity of the light ultra-high performance concrete beam comprises the following steps: the method comprises the steps of testing the cross-section width, the effective height and the shearing span length of a light ultra-high performance concrete (Lightweight Ultra-High Performance Concrete, abbreviated as LUHPC) beam, testing the axial compressive strength, the stirrup yield strength and the stirrup spacing of the light ultra-high performance concrete (LUHPC), carrying out a shearing test on the light ultra-high performance concrete (LUHPC) beam to obtain the shearing bearing capacity of the light ultra-high performance concrete (LUHPC) beam, researching the influence rule of the shearing span ratio and the hoop distribution ratio on the shearing bearing capacity of the light ultra-high performance concrete (LUHPC) beam, and establishing a calculation formula of the shearing bearing capacity of the light ultra-high performance concrete (LUHPC) beam by utilizing a differential evolution method.
The method comprises the following steps:
according to the invention, a shear resistance calculation formula of the LUHPC beam is provided through a shear test. The specific steps are as follows (figure 2):
7 Lightweight Ultra High Performance Concrete (LUHPC) beams were designed and fabricated, and the section width b=150 mm, section effective height h of the LUHPC beams were tested 0 Test concrete axial compressive Strength f=197 mm and shear span Length a (see Table 1) c =108 MPa, stirrup yield strength f yv Shear tests were carried out with 450MPa and stirrup spacing s=90, 150, 225mm to obtain the shear load capacity of each test beam, see table 1.
TABLE 1LUHPC Liang Canshu and shear load capacity
The test researches the influence rule of the shear span ratio and the hoop distribution ratio on the shear bearing capacity of the LUHPC beam, and combines the analysis of the existing specification and the shear factors to determine the basic form of the calculation formula of the shear bearing capacity of the LUHPC beam as follows:
wherein V is the shear bearing capacity of the LUHPC beam, V c Shear force borne by LUHPC, V s The shear force born by stirrups is lambda is the shear span ratio, f c The compressive strength of the concrete axle center is that b is the section width of the LUHPC beam, h 0 Is the effective height of the cross section of the LUHPC beam, ρ sv For the rate of hooping, f yv For stirrup yield strength, A, B, C, D is a generally constant;
according to the shear test, the shearing bearing capacity of each piece of LUHPC beam is obtained, nonlinear regression analysis is carried out on the shearing bearing capacity of the LUHPC beam by utilizing a differential evolution method, and the calculation formula of the shearing bearing capacity of the LUHPC beam is obtained, wherein A=2.49, B= -0.11, C=0.78 and D= -0.67:
the shear span ratio lambda, the section width b and the concrete axle center compressive strength f are measured c Effective height h of cross section 0 Rate ρ of hooping sv Yield strength f of stirrup yv And (3) substituting the value of the formula (2) to obtain the shear bearing capacity of the light ultra-high performance concrete beam.
The present invention will be described in further detail with reference to the drawings and examples, in order to make the objects, technical solutions and advantages of the present invention more apparent. It should be understood that the specific examples described herein are intended to illustrate the invention and are not intended to limit the invention.
As shown in fig. 3, the shear test device for the Lightweight Ultra High Performance Concrete (LUHPC) beam of the invention comprises a dial indicator 1, a cushion block 2 and a load sensor 3. The dial gauge 1 is located below the LUHPC beam, the spacer 2 is located above the LUHPC beam, and the load sensor 3 is placed on the spacer 2. The test loading mode adopts force control, pre-loading is performed first, and whether the instrument equipment is normal or not is checked. And then carrying out graded loading according to 5% of the estimated limit load, holding the load for a period of time after each grade of load is applied, waiting for the reading of each instrument panel to be stable, observing the phenomenon and carrying out relevant records. When the load reaches 80% of the estimated limit load, the load is first-order of 5kN until the test beam is damaged.
Specific application examples:
a certain light ultra-high performance concrete test beam is known, the shear span ratio is 1.52, the section width is 150mm, the height is 250mm, the effective section height is 197mm, the stirrup yield strength is 450MPa, the stirrup spacing is 150mm, the hooping rate is 0.45%, and the LUHPC axle center compressive strength is 108MPa.
The shear bearing capacity of the light ultra-high performance concrete beam is 572.0kN, which is calculated according to the formula (2); the test value was 598.4kN. The calculated value and the test value are different by only 4.4 percent, and the accuracy of the bearing capacity calculation formula is high.
In conclusion, the method can accurately calculate the shear bearing capacity of the light ultra-high performance concrete beam.
Claims (1)
1. The method for determining the shear bearing capacity of the light ultra-high performance concrete beam is characterized by comprising the following steps of: testing the section width, the section effective height and the shearing span length of the light ultra-high performance concrete beam, testing the axial compression strength, the stirrup yield strength and the stirrup spacing of the light ultra-high performance concrete beam, carrying out a shear test on the light ultra-high performance concrete beam to obtain the shearing bearing capacity of the light ultra-high performance concrete beam, researching the influence rule of the shearing span ratio and the hooping rate on the shearing bearing capacity of the light ultra-high performance concrete beam, carrying out nonlinear regression analysis on the shearing bearing capacity of the light ultra-high performance concrete beam by using a differential evolution method, and establishing a calculation formula of the shearing bearing capacity of the light ultra-high performance concrete beam; substituting the required data into a calculation formula to obtain the shear bearing capacity of the light ultra-high performance concrete beam;
the method comprises the following specific steps:
1) Testing basic parameters of the light ultra-high performance concrete beam, including section width b and section effective height h 0 And the length a of the shearing span section, determining the shearing span ratio
2) Testing the axial compressive strength f of light ultra-high performance concrete c The contribution of concrete against shearing is adoptedForm of (c); wherein A is a general constant and B is a general constant;
3) Testing stirrup parameters, including stirrup yield strength f yv Stirrup cross-sectional area A sv And the stirrup spacing s, determining the hooping rateThe stirrup contributes to the shearing resistance by adopting (Clambda+D) rho sv f yv bh 0 Form of (c); wherein C is a general constant and D is a general constant;
4) The method comprises the steps of experimentally researching the influence rule of the shear span ratio and the hoop distribution ratio on the shear bearing capacity of the light ultra-high performance concrete beam, and determining the shear bearing capacity of the light ultra-high performance concrete beam by two parts of shear force provided by concrete and shear force provided by hoops by referring to the influence parameters considered by the existing specifications; considering the influence of the shear span ratio on the shear contribution of the concrete and the stirrup, the basic form of the calculation formula of the shear bearing capacity of the light ultra-high performance concrete beam is as follows:
wherein V is the shear bearing capacity of the light ultra-high performance concrete beam, V c Shear force borne by light ultra-high performance concrete, V s The shear force born by stirrups is lambda is the shear-span ratio,f c b is the section width of the light ultra-high performance concrete beam, h is the compressive strength of the concrete axle center 0 Is the effective height of the section of the light ultra-high performance concrete beam, ρ sv For the rate of hooping, f yv For stirrup yield strength, A, B, C, D is a generally constant;
obtaining the shearing bearing capacity of each light ultra-high performance concrete beam according to a shearing test, and carrying out nonlinear regression analysis on the shearing bearing capacity of the light ultra-high performance concrete beam by utilizing a differential evolution method to obtain a=2.49, b= -0.11, c=0.78 and d= -0.67;
the shear bearing capacity calculation formula of the light ultra-high performance concrete beam is as follows:
5) The shear span ratio lambda, the section width b and the concrete axle center compressive strength f are measured c Effective height h of cross section 0 Rate ρ of hooping sv Yield strength f of stirrup yv And (3) substituting the value of the formula (2) to obtain the shear bearing capacity of the light ultra-high performance concrete beam.
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