CN113008436A - Creep influence-considered reinforced concrete support axial force calculation method - Google Patents

Creep influence-considered reinforced concrete support axial force calculation method Download PDF

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Publication number
CN113008436A
CN113008436A CN202110306426.XA CN202110306426A CN113008436A CN 113008436 A CN113008436 A CN 113008436A CN 202110306426 A CN202110306426 A CN 202110306426A CN 113008436 A CN113008436 A CN 113008436A
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concrete
mentioned
creep
axial force
coefficient
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Inventor
刘阳
涂善波
李亚楠
吴国晓
耿青松
何鑫
魏开松
李倩
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Yellow River Engineering Consulting Co Ltd
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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01L—MEASURING FORCE, STRESS, TORQUE, WORK, MECHANICAL POWER, MECHANICAL EFFICIENCY, OR FLUID PRESSURE
    • G01L5/00—Apparatus for, or methods of, measuring force, work, mechanical power, or torque, specially adapted for specific purposes

Abstract

The invention discloses a method for calculating the axial force of a reinforced concrete support by considering creep influence, which comprises the following steps: 1, determining physical and mechanical parameters of a concrete support; 2, when the steel bar effect is neglected, calculating a concrete creep coefficient; 3, calculating the equivalent creep coefficient of the concrete when the effect of the steel bars is considered; 4, calculating the average strain value of the section of the concrete supporting member for eliminating the creep influence by actually measuring the frequency value of the sensor; and 5, establishing a calculation equation of the supporting axial force according to the stress-strain relation of the concrete. Compared with the conventional concrete supporting axial force calculation method, the method can effectively eliminate the influence of the creep effect on the reinforced concrete supporting axial force, and obtain a relatively real reinforced concrete supporting axial force value, so that the enclosure system and the whole foundation pit project are in a controllable state, and the aim of eliminating unsafe factors in the construction process of the foundation pit project is fulfilled.

Description

Creep influence-considered reinforced concrete support axial force calculation method
Technical Field
The invention relates to the field of foundation pit monitoring, in particular to a method for calculating the axial force of a reinforced concrete support by considering creep influence.
Background
With the development of economy, urban infrastructure is rapidly developed, and a large amount of ultra-deep and ultra-large foundation pit engineering is developed. The foundation pit monitoring technology plays a great role in guaranteeing the personal safety of foundation pit engineering and constructors, and the monitoring of the axial force of the reinforced concrete support is an important monitoring item in foundation pit monitoring and is an important basis for evaluating whether a supporting structure and the whole foundation pit engineering are safe or not. Then, in the actual foundation pit engineering, the situation that the supporting axial force value of a lot of concrete is far larger than the designed axial force value, and the monitoring values of other monitoring projects are all smaller than the designed values often occurs, so that the foundation pit engineering is in an uncontrolled state, and unsafe factors exist in the foundation pit engineering.
Disclosure of Invention
The invention aims to provide a method for calculating the axial force of a reinforced concrete support by considering creep influence, so that the actual stress of the concrete support can be calculated more accurately.
In order to achieve the purpose, the invention adopts the following technical scheme:
the invention relates to a method for calculating the axial force of a reinforced concrete support considering creep influence, which comprises the following steps of:
s1, determining physical and mechanical parameters of the concrete support; the physical-mechanical parameters include: (1) concrete support structure parameters: cross sectional area of support
Figure DEST_PATH_IMAGE001
Supporting the perimeter of the cross section
Figure 991390DEST_PATH_IMAGE002
Cross section area of concrete
Figure DEST_PATH_IMAGE003
Section area of reinforcing bar
Figure 550941DEST_PATH_IMAGE004
Reinforcement ratio
Figure DEST_PATH_IMAGE005
(ii) a (2) Concrete physical parameters: average value of axial compressive strength of concrete
Figure 642263DEST_PATH_IMAGE006
Modulus of elasticity of concrete
Figure DEST_PATH_IMAGE007
(ii) a (3) And the physical parameters of the steel bar are as follows: modulus of elasticity of steel bar
Figure 912838DEST_PATH_IMAGE008
(ii) a (4) And the time parameter is as follows: age of concrete
Figure DEST_PATH_IMAGE009
(ii) a Age of concrete during excavation of foundation pit
Figure 104042DEST_PATH_IMAGE010
(ii) a (5) And environmental parameters: relative humidity of surrounding environment
Figure DEST_PATH_IMAGE011
(ii) a (6) And the sensor parameters are as follows: sensor calibration factor
Figure 270712DEST_PATH_IMAGE012
Temperature coefficient of sensor
Figure DEST_PATH_IMAGE013
；
S2, when the effect of the steel bars is neglected, the creep coefficient of the concrete is calculated;
s3, calculating the equivalent creep coefficient of the concrete when the effect of the steel bars is considered;
s4, calculating the average strain value of the cross section of the concrete supporting member for eliminating the creep influence by actually measuring the frequency value of the sensor;
and S5, establishing a calculation equation of the support axial force according to the stress-strain relation of the concrete.
In S2, when the effect of the reinforcing steel bars is ignored, the concrete creep coefficient is calculated as follows:
（1）
Figure 911646DEST_PATH_IMAGE014
；
（2）
Figure DEST_PATH_IMAGE015
；
（3）
Figure 579388DEST_PATH_IMAGE016
；
（4）
Figure DEST_PATH_IMAGE017
；
（5）
Figure 592475DEST_PATH_IMAGE018
；
（6）
Figure DEST_PATH_IMAGE019
；
（7）
Figure 821724DEST_PATH_IMAGE020
；
in the formula: the above-mentioned
Figure DEST_PATH_IMAGE021
For excavation of foundation pit, the age is
Figure 920261DEST_PATH_IMAGE022
The concrete support is aged
Figure DEST_PATH_IMAGE023
Concrete creep coefficient; the above-mentioned
Figure 640961DEST_PATH_IMAGE024
Is a nominal creep coefficient; the above-mentioned
Figure DEST_PATH_IMAGE025
The coefficient of creep development along with time after foundation pit excavation; the above-mentioned
Figure 818476DEST_PATH_IMAGE026
The age of the concrete; the above-mentioned
Figure DEST_PATH_IMAGE027
The age of concrete during foundation pit excavation is determined; the above-mentioned
Figure 123686DEST_PATH_IMAGE028
To take into account the relative humidity of the environment and the theoretical thickness
Figure DEST_PATH_IMAGE029
Coefficients that affect the creep coefficient; the above-mentioned
Figure 473634DEST_PATH_IMAGE030
The influence of the concrete strength on the creep coefficient is taken into consideration; the above-mentioned
Figure DEST_PATH_IMAGE031
The influence of the age of the concrete on the creep coefficient during loading is taken into consideration; the above-mentioned
Figure 624124DEST_PATH_IMAGE032
The average compressive strength (MPa) of the concrete cylinder 28d in age; the above-mentioned
Figure DEST_PATH_IMAGE033
Ambient relative humidity; the above-mentioned
Figure 644426DEST_PATH_IMAGE034
Is dependent on the relative humidity of the environment
Figure DEST_PATH_IMAGE035
(%) and theoretical thickness
Figure 854958DEST_PATH_IMAGE036
Coefficient of (mm).
In S3, the concrete creep coefficient is calculated as follows in consideration of the steel bar effect:
（1）
Figure DEST_PATH_IMAGE037
；
（2）
Figure 318301DEST_PATH_IMAGE038
；
in the formula: the above-mentioned
Figure DEST_PATH_IMAGE039
In order to consider the concrete creep coefficient when the effect of the steel bar is taken into consideration; the above-mentioned
Figure 505437DEST_PATH_IMAGE040
The ratio of the elastic modulus of the steel bar to the elastic modulus of the concrete; the above-mentioned
Figure DEST_PATH_IMAGE041
And (4) reinforcing the rib ratio of the section of the support member.
In the step S4, the first step,
the average strain value of the section of the concrete supporting member for eliminating the creep influence is calculated by actually measuring the frequency value of the sensor, and the average strain value is as follows:
（1）
Figure 613202DEST_PATH_IMAGE042
；
in the formula: the above-mentioned
Figure DEST_PATH_IMAGE043
The average strain value of the concrete supporting section is obtained; the above-mentioned
Figure 496100DEST_PATH_IMAGE044
Is as follows
Figure DEST_PATH_IMAGE045
Calibrating a coefficient of a root sensor; the above-mentioned
Figure 181160DEST_PATH_IMAGE046
Is as follows
Figure DEST_PATH_IMAGE047
The actually measured frequency value of the root sensor; the above-mentioned
Figure 906408DEST_PATH_IMAGE048
Is as follows
Figure DEST_PATH_IMAGE049
A root sensor initial frequency value; the above-mentioned
Figure 868679DEST_PATH_IMAGE050
Is as follows
Figure 748910DEST_PATH_IMAGE052
Root sensor temperature coefficient; the above-mentioned
Figure DEST_PATH_IMAGE053
Is as follows
Figure 157151DEST_PATH_IMAGE054
The root sensor measured temperature is the difference from the initial measured temperature.
In S5, the calculation equation of the support axial force established by the concrete stress-strain relationship is as follows:
（1）
Figure DEST_PATH_IMAGE055
；
（2）
Figure 859659DEST_PATH_IMAGE056
；
in the formula: the above-mentioned
Figure DEST_PATH_IMAGE057
For supporting concreteA cross-sectional axial force value; the above-mentioned
Figure 971709DEST_PATH_IMAGE058
The average strain value of the concrete supporting section is obtained; the above-mentioned
Figure DEST_PATH_IMAGE059
The total area of the concrete section is shown; the above-mentioned
Figure 694946DEST_PATH_IMAGE060
Is the modulus of elasticity of the steel bar; the above-mentioned
Figure DEST_PATH_IMAGE061
Is the total area of the section of the reinforcing steel bar.
Compared with the conventional concrete supporting axial force calculation method, the method can effectively eliminate the influence of the creep effect on the reinforced concrete supporting axial force, and obtain a relatively real reinforced concrete supporting axial force value, so that the enclosure system and the whole foundation pit project are in a controllable state, and the aim of eliminating unsafe factors in the construction process of the foundation pit project is fulfilled.
Drawings
FIG. 1 is a flow chart of the method of the present invention.
FIG. 2 is a schematic diagram comparing support axis force data in an embodiment of the present invention.
Detailed Description
The following describes embodiments of the present invention in detail with reference to the drawings, which are implemented on the premise of the technical solution of the present invention, and detailed embodiments and specific operation procedures are provided, but the scope of the present invention is not limited to the following embodiments.
As shown in fig. 1, the method for calculating the axial force of the reinforced concrete support considering the creep influence according to the present invention comprises the following steps:
s1, determining physical and mechanical parameters of the concrete support:
a. concrete support structure parameters: cross sectional area of support
Figure 578764DEST_PATH_IMAGE062
Supporting the perimeter of the cross section
Figure DEST_PATH_IMAGE063
Section area of reinforcing bar
Figure 881701DEST_PATH_IMAGE064
Cross section area of concrete
Figure DEST_PATH_IMAGE065
Reinforcement ratio
Figure 785940DEST_PATH_IMAGE066
；
b. Physical parameters of the concrete: average value of axial compressive strength of concrete
Figure DEST_PATH_IMAGE067
Modulus of elasticity of concrete
Figure 539133DEST_PATH_IMAGE068
；
c. Physical parameters of the steel bar: modulus of elasticity of steel bar
Figure DEST_PATH_IMAGE069
；
d. Time parameters: age of concrete during excavation of foundation pit
Figure 407119DEST_PATH_IMAGE070
；
e. Environmental parameters: relative humidity of surrounding environment
Figure DEST_PATH_IMAGE071
。
S2, the concrete creep coefficient is calculated by taking the above physical-mechanical parameters into the expressions (1) to (7) without considering the steel bar effect:
Figure 74599DEST_PATH_IMAGE072
formula (1);
Figure DEST_PATH_IMAGE073
formula (2);
Figure 865968DEST_PATH_IMAGE074
formula (3);
Figure DEST_PATH_IMAGE075
formula (4);
Figure 698051DEST_PATH_IMAGE076
formula (5);
Figure DEST_PATH_IMAGE077
formula (6);
Figure 66716DEST_PATH_IMAGE078
formula (7);
in the formula:
Figure DEST_PATH_IMAGE079
for excavation of foundation pit, the age is
Figure 977034DEST_PATH_IMAGE080
The concrete support is aged
Figure DEST_PATH_IMAGE081
Concrete creep coefficient;
Figure 980500DEST_PATH_IMAGE082
is a nominal creep coefficient;
Figure DEST_PATH_IMAGE083
the coefficient of creep development along with time after foundation pit excavation;
Figure 685282DEST_PATH_IMAGE084
the age of the concrete;
Figure DEST_PATH_IMAGE085
the age of concrete during foundation pit excavation is determined;
Figure 541242DEST_PATH_IMAGE086
to take into account the relative humidity of the environment and the theoretical thickness
Figure DEST_PATH_IMAGE087
Coefficients that affect the creep coefficient;
Figure 756716DEST_PATH_IMAGE088
considering the coefficient of the influence of the concrete strength on the creep coefficient;
Figure DEST_PATH_IMAGE089
considering the coefficient of the influence of the age of the concrete on the creep coefficient during loading;
Figure 850574DEST_PATH_IMAGE090
the concrete cylinder 28d age average compressive strength (MPa);
Figure DEST_PATH_IMAGE091
ambient relative humidity;
Figure 116471DEST_PATH_IMAGE092
is dependent on the relative humidity of the environment
Figure DEST_PATH_IMAGE093
(%) and theoretical thickness
Figure 302470DEST_PATH_IMAGE094
Coefficient of (mm).
S3, the concrete creep coefficient is calculated by taking the parameters into the formulas (8) and (9) according to the formula (7):
Figure DEST_PATH_IMAGE095
formula (8);
Figure 944804DEST_PATH_IMAGE096
=
Figure DEST_PATH_IMAGE097
formula (9);
in the formula:
Figure 78456DEST_PATH_IMAGE098
in order to consider the concrete creep coefficient when the effect of the steel bar is taken into consideration;
Figure DEST_PATH_IMAGE099
the ratio of the elastic modulus of the steel bar to the elastic modulus of the concrete;
Figure 656199DEST_PATH_IMAGE100
and (4) reinforcing the rib ratio of the section of the support member.
S4, carrying formula (9) and sensor parameters into formula (10) by actually measuring the sensor frequency value, and calculating the average strain value of the cross section of the concrete supporting member for eliminating the creep influence:
Figure DEST_PATH_IMAGE101
formula (10);
in the formula:
Figure 221173DEST_PATH_IMAGE102
the average strain value of the concrete supporting section is obtained;
Figure DEST_PATH_IMAGE103
is as follows
Figure DEST_PATH_IMAGE105
Calibrating a coefficient of a root sensor;
Figure 306678DEST_PATH_IMAGE106
is as follows
Figure DEST_PATH_IMAGE107
The actually measured frequency value of the root sensor;
Figure 781653DEST_PATH_IMAGE108
is as follows
Figure DEST_PATH_IMAGE109
A root sensor initial frequency value;
Figure 890817DEST_PATH_IMAGE110
is as follows
Figure DEST_PATH_IMAGE111
Root sensor temperature coefficient;
Figure 552873DEST_PATH_IMAGE112
is as follows
Figure DEST_PATH_IMAGE113
The difference between the measured temperature of the root sensor and the initial measured temperature;
s5, carrying the formula (10) into the formula (13) through the concrete stress-strain relation formula (12) to establish a supporting axial force calculation equation:
Figure 537010DEST_PATH_IMAGE114
formula (12);
Figure DEST_PATH_IMAGE115
formula (13);
in the formula:
Figure 365026DEST_PATH_IMAGE116
an axial force value for the concrete support section;
Figure DEST_PATH_IMAGE117
and the average strain value of the concrete supporting section is shown.
As shown in fig. 2, in order to verify the effectiveness of the axial force calculation method in the present embodiment, a data comparison analysis is particularly performed, which shows the variation curve of the axial force of the support shaft with time obtained by the two calculation methods. "original calculation formulaCalculating an axial force change curve as data without excluding creep influence; calculating an axial force change curve into data excluding creep influence by a new calculation formula; the central line represents a standard value of the axial force, and the maximum axial force value of the concrete support is calculated for the most unfavorable working condition of the design model; the broken line represents the design value of the axial force and is the standard value of the axial force
Figure 284572DEST_PATH_IMAGE118
. It can be seen from the figure that the correction result of the calculation method in the embodiment is more ideal, and the creep influence of the concrete can be effectively eliminated, so that the calculated axial force is closer to the standard value of the axial force, and the actual stress is supported in a more consistent manner under the actual working condition.

Claims (5)

1. A method for calculating the axial force of a reinforced concrete support in consideration of creep influence is characterized by comprising the following steps: the method comprises the following steps:
s1, determining physical and mechanical parameters of the concrete support; the physical-mechanical parameters include: (1) concrete support structure parameters: cross sectional area of support
Figure DEST_PATH_IMAGE002
Supporting the perimeter of the cross section
Figure DEST_PATH_IMAGE004
Cross section area of concrete
Figure DEST_PATH_IMAGE006
Section area of reinforcing bar
Figure DEST_PATH_IMAGE008
Reinforcement ratio
Figure DEST_PATH_IMAGE010
(ii) a (2) Concrete physical parameters: average value of axial compressive strength of concrete
Figure DEST_PATH_IMAGE012
Concrete (C)Modulus of elasticity
Figure DEST_PATH_IMAGE014
(ii) a (3) And the physical parameters of the steel bar are as follows: modulus of elasticity of steel bar
Figure DEST_PATH_IMAGE016
(ii) a (4) And the time parameter is as follows: age of concrete
Figure DEST_PATH_IMAGE018
(ii) a Age of concrete during excavation of foundation pit
Figure DEST_PATH_IMAGE020
(ii) a (5) And environmental parameters: relative humidity of surrounding environment
Figure DEST_PATH_IMAGE022
(ii) a (6) And the sensor parameters are as follows: sensor calibration factor
Figure DEST_PATH_IMAGE024
Temperature coefficient of sensor
Figure DEST_PATH_IMAGE026
；
S2, when the effect of the steel bars is neglected, the creep coefficient of the concrete is calculated;
s3, calculating the equivalent creep coefficient of the concrete when the effect of the steel bars is considered;
s4, calculating the average strain value of the cross section of the concrete supporting member for eliminating the creep influence by actually measuring the frequency value of the sensor;
and S5, establishing a calculation equation of the support axial force according to the stress-strain relation of the concrete.
2. The method for calculating axial force of a reinforced concrete strut in consideration of creep influence according to claim 1, wherein: in S2, when the effect of the reinforcing steel bars is ignored, the concrete creep coefficient is calculated as follows:
（1）
Figure DEST_PATH_IMAGE028
；
（2）
Figure DEST_PATH_IMAGE030
；
（3）
Figure DEST_PATH_IMAGE032
；
（4）
Figure DEST_PATH_IMAGE034
；
（5）
Figure DEST_PATH_IMAGE036
；
（6）
Figure DEST_PATH_IMAGE038
；
（7）
Figure DEST_PATH_IMAGE040
；
in the formula: the above-mentioned
Figure DEST_PATH_IMAGE042
For excavation of foundation pit, the age is
Figure DEST_PATH_IMAGE044
The concrete support is aged
Figure DEST_PATH_IMAGE046
Concrete creep coefficient; the above-mentioned
Figure DEST_PATH_IMAGE048
Is a nominal creep coefficient; the above-mentioned
Figure DEST_PATH_IMAGE050
The coefficient of creep development along with time after foundation pit excavation; the above-mentioned
Figure DEST_PATH_IMAGE052
The age of the concrete; the above-mentioned
Figure DEST_PATH_IMAGE054
The age of concrete during foundation pit excavation is determined; the above-mentioned
Figure DEST_PATH_IMAGE056
To take into account the relative humidity of the environment and the theoretical thickness
Figure DEST_PATH_IMAGE058
Coefficients that affect the creep coefficient; the above-mentioned
Figure DEST_PATH_IMAGE060
The influence of the concrete strength on the creep coefficient is taken into consideration; the above-mentioned
Figure DEST_PATH_IMAGE062
The influence of the age of the concrete on the creep coefficient during loading is taken into consideration; the above-mentioned
Figure DEST_PATH_IMAGE064
The average compressive strength (MPa) of the concrete cylinder 28d in age; the above-mentioned
Figure DEST_PATH_IMAGE066
Ambient relative humidity; the above-mentioned
Figure DEST_PATH_IMAGE068
Is dependent on the relative humidity of the environment
Figure DEST_PATH_IMAGE070
(%) and theoretical thickness
Figure DEST_PATH_IMAGE072
Coefficient of (mm).
3. The method for calculating axial force of a reinforced concrete strut in consideration of creep influence according to claim 1, wherein: in S3, the concrete creep coefficient is calculated as follows in consideration of the steel bar effect:
（1）
Figure DEST_PATH_IMAGE074
；
（2）
Figure DEST_PATH_IMAGE076
；
in the formula: the above-mentioned
Figure DEST_PATH_IMAGE078
In order to consider the concrete creep coefficient when the effect of the steel bar is taken into consideration; the above-mentioned
Figure DEST_PATH_IMAGE080
The ratio of the elastic modulus of the steel bar to the elastic modulus of the concrete; the above-mentioned
Figure DEST_PATH_IMAGE082
And (4) reinforcing the rib ratio of the section of the support member.
4. The method for calculating axial force of a reinforced concrete strut in consideration of creep influence according to claim 1, wherein: in the step S4, the first step,
the average strain value of the section of the concrete supporting member for eliminating the creep influence is calculated by actually measuring the frequency value of the sensor, and the average strain value is as follows:
（1）
Figure DEST_PATH_IMAGE084
；
in the formula: the above-mentioned
Figure DEST_PATH_IMAGE086
Is a concrete supportAverage strain value of strut section; the above-mentioned
Figure DEST_PATH_IMAGE088
Is as follows
Figure DEST_PATH_IMAGE090
Calibrating a coefficient of a root sensor; the above-mentioned
Figure DEST_PATH_IMAGE092
Is as follows
Figure DEST_PATH_IMAGE094
The actually measured frequency value of the root sensor; the above-mentioned
Figure DEST_PATH_IMAGE096
Is as follows
Figure DEST_PATH_IMAGE098
A root sensor initial frequency value; the above-mentioned
Figure DEST_PATH_IMAGE100
Is as follows
Figure DEST_PATH_IMAGE102
Root sensor temperature coefficient; the above-mentioned
Figure DEST_PATH_IMAGE104
Is as follows
Figure DEST_PATH_IMAGE106
The root sensor measured temperature is the difference from the initial measured temperature.
5. The method for calculating the axial force of the reinforced concrete support considering the creep influence according to any one of claims 1 to 4, wherein: in S5, the calculation equation of the support axial force established by the concrete stress-strain relationship is as follows:
（1）
Figure DEST_PATH_IMAGE108
；
（2）
Figure DEST_PATH_IMAGE110
；
in the formula: the above-mentioned
Figure DEST_PATH_IMAGE112
An axial force value for the concrete support section; the above-mentioned
Figure DEST_PATH_IMAGE114
The average strain value of the concrete supporting section is obtained; the above-mentioned
Figure DEST_PATH_IMAGE116
The total area of the concrete section is shown; the above-mentioned
Figure DEST_PATH_IMAGE118
Is the modulus of elasticity of the steel bar; the above-mentioned
Figure DEST_PATH_IMAGE120
Is the total area of the section of the reinforcing steel bar.
CN202110306426.XA 2021-03-23 2021-03-23 Creep influence-considered reinforced concrete support axial force calculation method Withdrawn CN113008436A (en)

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CN116733045A (en) * 2023-06-09 2023-09-12 广东省建设工程质量安全检测总站有限公司 Method for calculating axial force based on monitoring supporting surface strain

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