CN117574523B - Concrete cylindrical member minimum hooping rate calculation method based on high-strength spiral hooping - Google Patents
Concrete cylindrical member minimum hooping rate calculation method based on high-strength spiral hooping Download PDFInfo
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Abstract
The invention belongs to the field of civil engineering structure data processing, and particularly relates to a calculation method of a minimum hooping rate of a concrete cylindrical member based on high-strength spiral hoops. The minimum hoop matching rate of the concrete cylindrical member after the high-strength spiral hoops are added is calculated according to the following steps:. The method is simple and convenient to calculate, and the hoop distribution value of the high-strength spiral stirrup can be obtained quickly, so that the problem that a concrete column component adopting the high-strength spiral stirrup at present lacks an applicable calculation formula in design and checking calculation is solved, and important theoretical significance and practical value are finally generated for promoting the application of the high-strength material in practical engineering.
Description
Technical Field
The invention belongs to the field of civil engineering structure data processing, and particularly relates to a calculation method of a minimum hooping rate of a concrete cylindrical member based on high-strength spiral hoops.
Background
Along with the continuous development of the building structure to the high-rise structure, the fat columns of the fat beams caused by the constraint concrete of the common stirrups become important factors for restricting the development of the concrete structure, and at the moment, the appearance of high-strength steel bars and high-strength concrete materials clearly lays a foundation for the development of the reinforced concrete structure in a new period. In the application of the high-strength steel bar, the spiral stirrup constraint concrete column has the advantages of high bearing capacity, good deformation performance and the like, and is a structural form with wide development prospect. The high-strength concrete cylindrical member with the high-strength spiral stirrups can fully exert the advantages of the high-strength concrete cylindrical member and the high-strength concrete cylindrical member by restraining the high-strength spiral stirrups, so that the ductility of the member is improved, and the member has good anti-seismic performance.
However, the strength of the high-strength steel bars used in current engineering practice is still relatively conservative due to the limited specifications of the existing design specifications. For example, building code ACI 318 limits the yield strength of steel bars to 550 MPa; the CEB-FIP model specification only specifies the use requirements of the reinforcing steel bars below 500 levels; likewise, AS 3600, although expanding the strength range of the rebar and introducing 600MPa rebar in 2018, has not preceded the use of higher strength high strength rebar; in contrast to the above design specifications, GB50010 provides high strength steel bar yield strengths for component levels of even only 500MPa. In addition, the strength design of the high-strength steel bars applied in engineering practice is more conservative and is 300-400 MPa; the strength of the steel bars adopted in the non-prestressed concrete structure is respectively 235MPa of yield strength, 335MPa of yield strength and 400MPa of yield strength as specified in GB50010-2002 of concrete structure design Specification and GB50011-2001 of building earthquake-resistant design Specification, wherein the use amount of the steel bars at the level of 400MPa only accounts for about 10% of the total use amount of the steel bars; reinforcing bars with yield strengths of 500MPa and above for higher strengths are not currently in specification. Therefore, when actually designing, such as in PKPM design software, parameters of the high-strength stirrups and even the high-strength spiral stirrups cannot be input at all, and the parameters can only be input according to the common stirrups, so that the test is certainly put forward for the accuracy and the later correction of design data. In view of the above, whether a design scheme based on high-strength spiral stirrups can be developed, in particular to a calculation scheme of the minimum hooping rate aiming at core design points of the design scheme, so that the situation that no reference to the ratio basis exists in the design of the stirrups is avoided while the cost performance is maximized, and important theoretical significance and practical value are generated for promoting the application of high-strength materials in practical engineering.
Disclosure of Invention
The invention aims to overcome the defects of the prior art, and provides a method for calculating the minimum hooping rate of a concrete cylindrical member based on high-strength spiral stirrups, which is simple and convenient to calculate, and can quickly obtain the hooping value of the high-strength spiral stirrups, so that the problem that the existing concrete cylindrical member adopting the high-strength spiral stirrups lacks an applicable formula in design and checking calculation is solved, and finally important theoretical significance and practical value are generated for promoting the application of high-strength materials in practical engineering.
In order to achieve the above purpose, the present invention adopts the following technical scheme:
the method for calculating the minimum hooping rate of the concrete cylindrical member based on the high-strength spiral stirrup is characterized by calculating the minimum hooping rate of the concrete cylindrical member added with the high-strength spiral stirrup according to the following steps ofβ：
Wherein:
f y the yield strength of the high-strength spiral stirrup;
E s the elastic modulus of the high-strength spiral stirrup;
k e the effective constraint coefficient of the concrete cylindrical member is constrained by the high-strength spiral stirrup;
αthe values for the coefficients are as follows:
when (when)f c When the pressure of the mixture is =9.6 MPa,α= 3769.414; when (when)f c When the pressure of the mixture is 11.9MPa,α=3385.603；
when (when)f c When the pressure of the mixture is=14.3 MPa,α= 3088.456; when (when)f c When the pressure of the fluid is =16.7 MPa,α=2857.928；
when (when)f c When the pressure of the mixture is =19.1 MPa,α= 2672.347; when (when)f c When the pressure of the mixture is =21.1 MPa,α=2542.54；
when (when)f c When the pressure of the mixture is =23.1 MPa,α= 2429.984; when (when)f c When the pressure of the fluid is =25.3 MPa,α=2321.93；
when (when)f c When the pressure of the mixture is =27.5 MPa,α= 2227.117; when (when)f c When the pressure of the mixture is =29.7 MPa,α=2143.045；
when (when)f c When the pressure of the mixture is 31.8MPa,α= 2071.075; when (when)f c When the pressure of the mixture is 33.8MPa,α=2008.867；
when (when)f c When the pressure of the fluid is=35.9 MPa,α= 1949.226; the rest values are calculated according to interpolation;
f c is the compressive strength of the concrete.
Preferably, the method comprises the steps of,k e the values of (2) are as follows:
wherein:
s' is the net spacing of high-strength spiral stirrups in the concrete cylindrical member;
d' is the diameter of the core area of the high-strength spiral stirrup constraint concrete cylindrical member.
Preferably, the yield strength of the high-strength spiral stirrup is 600MPa to 750MPa.
The invention has the beneficial effects that:
the invention aims at the occasion that the high-strength screw thread stirrup is adopted, thereby providing a set of simplified calculation design thought, providing basic guarantee for reasonably calculating the material proportion, finally aiming at maximizing the self-strength performance of the high-strength screw thread stirrup and achieving the aim of obviously improving the strength and the ductility of the component.
Furthermore, the invention calculates the minimum hooping rate, and after the minimum hooping rate is defined, the corresponding high-strength hooping, namely the high-strength screw hooping, can be naturally configured, and finally, the reinforcing effect of the high-strength screw hooping is maximized, so that the member can better meet the use requirement. In fact, the highest value of the hoop matching rate is theoretically infinite and is limited only by the production cost, namely, the higher the hoop matching rate is, the cost naturally rises, so that the minimum hoop matching rate is preferentially calculated, the cost is minimized while the performance of the component is ensured, the cost performance is ensured, and the effect of saving steel and the consumption of the component is finally achieved.
The method is based on theoretical parameter analysis and post-test statistics, and is characterized in that the yield strength of the high-strength spiral stirrups, the elastic modulus of the high-strength spiral stirrups, the effective constraint coefficient of the high-strength spiral stirrups for constraining the concrete cylindrical member, the influence of the concrete compressive strength and the like are comprehensively considered, so that the related hooping rate is adjusted, the provided calculation method is more in line with the normal use limit state requirement of the concrete cylindrical member in engineering practice, the minimum standard of normal use numerical values is defined by the limit value, and the calculation result has higher reference value.
Drawings
Fig. 1 is a schematic diagram of the cross-sectional structure of the column body of example 1.
The actual correspondence between each label and the component name of the invention is as follows:
10-column body; 20-high-strength spiral stirrups; 30-longitudinal ribs.
Detailed Description
For ease of understanding, the reference structure and computing means of the present invention are further described herein below in conjunction with FIG. 1:
examples
In this embodiment, the concrete cylinder member includes a column body 10, and high-strength helical stirrups 20 and longitudinal bars 30 arranged in the column body 10. As can be seen from fig. 1, each longitudinal rib 30 extends along the axial direction of the column body 10, and the high-strength spiral stirrup 20 is spirally wound along the axial direction of the column body 10. For the high-strength spiral stirrup 20, a high-strength steel bar with a yield strength of 600MPa to 750MPa can be adopted in the selection process; of course, lower strength can also meet the design requirements.
During specific calculation, the overall design flow comprises:
calculating the minimum hoop matching rate of the concrete cylindrical member added with the high-strength spiral hoops according to the following formulaβ：
Wherein:
f y the yield strength of the high-strength spiral stirrup;
E s the elastic modulus of the high-strength spiral stirrup;
αfor coefficients, the values are referred to in table 1 below, and the remaining values are calculated by interpolation:
TABLE 1
f c Is the compressive strength of the concrete;
k e for the effective constraint coefficient of the high-strength spiral stirrup constraint concrete cylindrical member, the calculation formula is as follows:
wherein:
s' is the net spacing of high-strength spiral stirrups in the concrete cylindrical member; when viewed in terms of threads, can be considered as a pitch;
d' is the diameter of the core area of the high-strength helical stirrup-confined concrete cylindrical member, i.e., the column body 10.
Further, the verification of the present invention was performed by experimental parameters and stirrup yield results, and the data herein were extracted and summarized as shown in Table 2 below.
For ease of understanding, the corresponding calculated value of the minimum stirrup rate β calculated according to the formula of the invention is added at the end of table 2 at the same time:
TABLE 2
Further, in this embodiment, the column body 10 is made of a concrete material with a strength level of C70, and the high-strength spiral stirrup 20 and the longitudinal bar 30 are disposed in the column body 10 to form a test piece. Five 10mm HRB400 steel bars are adopted as the longitudinal bars 30, the hoop matching rate is 0.74%, and the longitudinal bars mainly play a role in erecting.
The column body 10 has a circular cross section, a diameter of 280mm and a height of 1000mm. High strength helical stirrup 20f y =657 MPa, diameter 8mm; the core region has a diameter of 250mm.
At the time of S-1 test piece verification, S' =70mm, the following can be found:
the concrete strength of the S-1 test piece was 27.8MPa, and α was 2215.65, calculated according to the present invention:
as is clear from Table 2, the value of the volumetric hooping rate of the S-1 test piece at this time is 0.012, which is greater than the minimum hooping rate 0.01189 calculated by the present invention, and the high-strength spiral stirrup yields at this time, i.e., the effect of the high-strength spiral stirrup 20 is fully exerted, and the yield results are consistent with the yield results of the experimental data.
For the S-2 test piece, when the concrete strength at this time is 27.8MPa, α is 2215.65, S' =60 mm, calculated in order according to the invention:
as is clear from Table 2, the volume hoop percentage of the test piece S-2 at this time was 0.014, which is greater than the minimum hoop percentage 0.01180 calculated by the present invention, indicating that the high-strength spiral stirrup was yielding at this time, i.e., the effect of the high-strength spiral stirrup 20 was fully exerted, and the yield results were consistent with the experimental data.
For the S-3 test piece, when the concrete strength at this time is 32.3MPa, α is 2055.523, S' =45 mm, it is calculated in order according to the invention:
the volume hoop matching rate of the S-3 test piece is smaller than the minimum hoop matching rate calculated by the method, and the high-strength spiral stirrup does not yield at the moment, namely the effect of the high-strength spiral stirrup 20 cannot be fully exerted, and the yield result is consistent with the yield result of experimental data.
For the S-4 test piece, when the concrete strength at this time is 32.3MPa, α is 2055.523, S' =70 mm, calculated in order according to the invention:
the volume hoop matching rate of the S-4 test piece is smaller than the minimum hoop matching rate calculated by the method, and the high-strength spiral stirrup does not yield at the moment, namely the effect of the high-strength spiral stirrup 20 cannot be fully exerted, and the yield result is consistent with the yield result of experimental data.
The S-5 test piece is changed into the S' with the thickness of 60mm, and the actual volume collar matching rate is 0.014, and is calculated according to the invention:
at the moment, the requirement of the hoop matching rate is obviously met, the high-strength spiral stirrup is subjected to yielding, and the yield result of experimental data is also met.
For the S-6 test piece, when the concrete strength is 40MPa and α is 1832.784 and S' =45mm, it is calculated in order according to the invention:
it is known that the volume hooping rate in table 2 of the S-6 test piece at this time is smaller than the minimum hooping rate calculated by the present invention, and the high-strength spiral stirrup does not yield at this time, i.e., the effect of the high-strength spiral stirrup 20 cannot be fully exerted, and the yield result is consistent with the yield result of experimental data.
For the S-7 test piece, when the concrete strength at this time is 40MPa, α is 1832.784, S' =45 mm, it is calculated according to the present invention:
the volume hoop matching rate of the S-7 test piece is smaller than the minimum hoop matching rate calculated by the method, and the high-strength spiral stirrup does not yield at the moment, namely the effect of the high-strength spiral stirrup 20 cannot be fully exerted, and the yield result is consistent with the yield result of experimental data.
Whereas the S-8 test piece willS’Instead of 60mm, the volumetric collar ratio was 0.014 as seen in Table 2, calculated according to the present invention:
at the moment, the requirement of the hoop matching rate is obviously met, the high-strength spiral stirrup is subjected to yielding, and the yield result of experimental data is also met.
From the above list results, it is apparent that: the calculation result obtained by the calculation method is completely consistent with the performance of the test result of eight groups of test pieces, and particularly when the minimum hoop matching rate obtained by calculation of the formula is reached, the test pieces are found to fully exert the constraint effect of the high-strength spiral stirrup on core concrete, the effect of maximally exerting the self-strength performance of the high-strength spiral stirrup is realized, the economy and the applicability are considered, and the effect is remarkable.
The above hoop matching rates are all volume hoop matching rates; since the minimum hoop ratio β is a dimensionless quantity, the units of the numerical values of the parameters are unified during calculation.
It will be understood by those skilled in the art that the present invention is not limited to the details of the foregoing exemplary embodiments, but includes the same or similar manner which may be embodied in other specific forms without departing from the spirit or essential characteristics thereof. The present embodiments are, therefore, to be considered in all respects as illustrative and not restrictive, the scope of the invention being indicated by the appended claims rather than by the foregoing description.
Furthermore, it should be understood that although the present disclosure describes embodiments, not every embodiment is provided with a separate embodiment, and that this description is provided for clarity only, and that the disclosure is not limited to the embodiments described in detail below, and that the embodiments described in the examples may be combined as appropriate to form other embodiments that will be apparent to those skilled in the art.
The technical sections of the present invention that are not described in detail are known in the art.
Claims (3)
1. The method for calculating the minimum hooping rate of the concrete cylindrical member based on the high-strength spiral stirrup is characterized by calculating the minimum hooping rate of the concrete cylindrical member added with the high-strength spiral stirrup according to the following steps ofβ：
Wherein:
f y is the yield strength of the high-strength spiral stirrup；
E s The elastic modulus of the high-strength spiral stirrup;
k e the effective constraint coefficient of the concrete cylindrical member is constrained by the high-strength spiral stirrup;
αthe values for the coefficients are as follows:
when (when)f c When the pressure of the mixture is =9.6 MPa,α= 3769.414; when (when)f c When the pressure of the mixture is 11.9MPa,α=3385.603；
when (when)f c When the pressure of the mixture is=14.3 MPa,α= 3088.456; when (when)f c When the pressure of the fluid is =16.7 MPa,α=2857.928；
when (when)f c When the pressure of the mixture is =19.1 MPa,α= 2672.347; when (when)f c When the pressure of the mixture is =21.1 MPa,α=2542.54；
when (when)f c When the pressure of the mixture is =23.1 MPa,α= 2429.984; when (when)f c When the pressure of the fluid is =25.3 MPa,α=2321.93；
when (when)f c When the pressure of the mixture is =27.5 MPa,α= 2227.117; when (when)f c When the pressure of the mixture is =29.7 MPa,α=2143.045；
when (when)f c When the pressure of the mixture is 31.8MPa,α= 2071.075; when (when)f c When the pressure of the mixture is 33.8MPa,α=2008.867；
when (when)f c When the pressure of the fluid is=35.9 MPa,α= 1949.226; the rest values are calculated according to interpolation;
f c is the compressive strength of the concrete.
2. The method for calculating the minimum hooping rate of the concrete cylindrical member based on the high-strength spiral stirrup according to claim 1, wherein,k e the values of (2) are as follows:
wherein:
s' is the net spacing of high-strength spiral stirrups in the concrete cylindrical member;
d' is the diameter of the core area of the high-strength spiral stirrup constraint concrete cylindrical member.
3. The method for calculating the minimum hooping rate of the concrete cylindrical member based on the high-strength spiral stirrup according to claim 1 or 2, wherein the method comprises the following steps of: the yield strength of the high-strength spiral stirrup is 600MPa to 750MPa.
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