CN102776875A - Method for field measurement for foundation bed coefficient of double-parameter foundation by virtue of static load test for rigid plates - Google Patents
Method for field measurement for foundation bed coefficient of double-parameter foundation by virtue of static load test for rigid plates Download PDFInfo
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- CN102776875A CN102776875A CN201210294310XA CN201210294310A CN102776875A CN 102776875 A CN102776875 A CN 102776875A CN 201210294310X A CN201210294310X A CN 201210294310XA CN 201210294310 A CN201210294310 A CN 201210294310A CN 102776875 A CN102776875 A CN 102776875A
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Abstract
The invention discloses a method for field measurement for the foundation bed coefficient of a double-parameter foundation by virtue of a static load test for rigid plates. The method comprises the following steps of: dividing a foundation region under the action of the rigid plates into a plate interior region, a plate edge region and a plate angle region ( figure 1), deducing the balance equation of the rectangular rigid plates on the double-parameter foundation by adopting an energy method, and establishing the relational expression among the dimensions of the rigid plates under a static load, the foundation bed coefficient, a vertical load and the vertical deformation of the foundation; and by virtue of the relational expression, obtaining the deflections of the rigid plates with different plane dimensions under the certain vertical load via a test for the rigid bearing plates with two or more dimensions by using a conventional test method for the bearing plates of a foundation, so as to obtain a group of equations of the foundation bed coefficient, and then evaluating the corresponding foundation bed coefficient of the double-parameter foundation. The test method is definite and clear in conception because of obtaining the compression foundation bed coefficient k and the shear foundation bed coefficient G of the double-parameter foundation via an actual measurement, and capable of being performed by virtue of conventional test equipment and method for the bearing plates of the foundation, thus being convenient to apply and popularize.
Description
Technical field
The present invention relates to field of civil engineering, specifically refer to a kind of method of utilizing the two-parameter ground coefficient of subgrade reaction of rigid slab static load test field survey.
Background technology
At present; Using the most widely, coefficient of subgrade reaction is the coefficient of subgrade reaction of one-parameter ground (Winkler ground); The one-parameter foundation model is regarded as a series of sides friction free independence earth pillar with ground; Ignored the shear stress that exists in the soil body, by the definite load of one-parameter foundation model---the foundation deformation relation does
, show the ground surface deformation value
wIrrelevant with the size of rigid slab, only relevant, and in fact foundation deformation comprises that not only compressive strain also comprises shear strain with plate area load and compression coefficient of subgrade reaction, i.e. ground surface deformation value
wNot only relevant, also relevant with the size of shearing coefficient of subgrade reaction and rigid slab with plate area load and compression coefficient of subgrade reaction.
At present, because the noncontinuity of foundation soil, a lot of difficulty of definite existence of coefficient of subgrade reaction does not still have maturation or more universally recognized method in the industry in the two-parameter foundation model, does not more have feasible field survey method.
Summary of the invention
Confirm the problem of difficulty to present two-parameter ground coefficient of subgrade reaction; The invention provides a kind of method of utilizing the two-parameter ground coefficient of subgrade reaction of Different Plane size rigid slab static load test field survey, can effectively deal with problems and easy to utilize.
The present invention for realizing the technical scheme that above-mentioned purpose adopted is:
At first the characteristic according to two-parameter foundation model is divided into plate inner region, edges of boards zone and plate angular zone (Fig. 1) with the foundation region under the rigid slab effect; Set up ground---total potential energy functional of rigid slab system; Adopt energy variation method to derive the load of Rectangular Rigid Plate on the two-parameter ground---the distortion equilibrium equation, set up rigid slab size under the static load (
a*
b), coefficient of subgrade reaction (
k,
G), vertical load size (
P) and the ground vertical deformation (
w) between relational expression.
Adopt conventional ground plate-bearing test equipment and method, to the loading test of a certain selected planar dimension rigid slab, obtain Different Plane size rigid slab load (
P)---the ground vertical deformation (
w) relation curve, be chosen at one group of load and deformation values under certain stress state (
P,
w), utilize the rigid slab size (
a*
b), coefficient of subgrade reaction (
k,
G), vertical load size (
P) and the ground vertical deformation (
w) between relational expression, can set up one with coefficient of subgrade reaction (
k,
G) for waiting to ask the relation equation of unknown quantity.
Through the rigid slab loading test of two or more size, according to preceding method, can set up corresponding under certain stress about coefficient of subgrade reaction (
k,
G) a set of equations, find the solution this equation group, can try to achieve corresponding two-parameter ground coefficient of subgrade reaction (
k,
G).
Below in conjunction with accompanying drawing, the present invention is further specified.
Description of drawings
Fig. 1 is the sketch map of the regional division of the substrate soil body rigidly, and the soil body is the plate inner region under the rigid slab,
A 2,
A 4,
A 5,
A 7Be the edges of boards zone,
A 1,
A 3,
A 6,
A 8Be the plate angular zone.
The specific embodiment
In conjunction with accompanying drawing, practical implementation step of the present invention is following:
Ground is divided into plate inner region, edges of boards zone
A 2,
A 4,
A 5,
A 7With the plate angular zone
A 1,
A 3,
A 6,
A 8, in load P effect lower plate inner region amount of deflection do
According to fringe conditions: each regional soil body surface amount of deflection of infinite distant place is zero; With the plate joint be edges of boards or plate angular deflection; I.e.
confirms each regional soil body surface amount of deflection expression formula.
The zone
A 1:
The zone
A 2:
The zone
A 3:
The zone
A 4:
The zone
A 5:
The zone
A 6:
The zone
A 7:
The zone
A 8:
Total potential energy functional Π of two-parameter ground-rigid slab system:
In the formula;
---the potential energy of deformation of rigid slab,
;
The potential energy of deformation of the outer ground of
---plate
A, b,
W, 
---be respectively that plate is long, plate is wide, plate inner region and plate exterior domain foundation surface amount of deflection.
The plate angular zone
A 1,
A 3,
A 6,
A 8The potential energy of deformation of ground:
The edges of boards zone
A 2,
A 4,
A 5,
A 7The potential energy of deformation of ground:
The total potential energy expression formula of ground-rigid slab system:
The first variation that makes ground-total potential energy of rigid slab system is zero; That is:
can obtain through computing:
Can draw from following formula:
For square plate; I.e.
, following formula becomes
Adopt the rigid slab of two or more Different Plane size to make an experiment, obtain one group of load---deflection curve, for certain stress state, payload values and deflection value actual measurement are known, utilize formula (5) can set up a set of equations, can obtain through finding the solution
k,
GValue.For finding the solution convenient and guaranteeing certainty of measurement, might as well consider the plate of three kinds of Different Plane sizes:
a 1*
b 1,
a 2*
b 2,
a 3*
b 3, can get:
More than three formulas subtract each other successively and obtain
(7)
Can get,
(9)
When adopting square rigid slab; Promptly when
, can draw from following formula:
More than two formulas provided the measurement coefficient of subgrade reaction
k,
GBasic theoretical formula, can utilize this two formula to accomplish coefficient of subgrade reaction and measure.According to the convenience and the requirement of engineering of practical application, can take different ways of realization.
Form one: when each side's board size
a 1:
a 2:
a 3=1:2:3, and
P 1:
P 2:
P 3During=1:1:1, formula (10) and formula (11) become
Form two: because soil body pressurized curve has non-linear characteristics, it is more meaningful to test the coefficient of subgrade reaction with identical or close stress level, for this reason, when
a 1:
a 2:
a 3=1:2:3, and
P 1:
P 2:
P 3During=1:4:9, note
P 1=
Pa 1 2, wherein
pBe equivalent plate face evenly distributed load, formula (10) and formula (11) become
Concrete condition according to test enforcement; Formula (10) has different forms with formula (11); Can realize that all (
, field survey G) obtains the bedding number.
Claims (1)
1. method of measuring two-parameter ground coefficient of subgrade reaction; It is characterized in that: described method may further comprise the steps: at first according to the stress characteristic of two-parameter ground; Foundation region under the rigid slab effect is divided into plate inner region, edges of boards zone and plate angular zone; Adopt energy method to try to achieve the equilibrium equation of Rectangular Rigid Plate on the two-parameter ground, set up rigid slab size under the static load (
a*
b), coefficient of subgrade reaction (
k,
G), vertical load size (
P) and ground vertical deformation (w) between relational expression; Utilize this relational expression, adopt conventional ground plate-bearing test method, obtain the amount of deflection of Different Plane size rigid slab under certain vertical load, then the rigid slab loading test of each planar dimension can obtain a coefficient of subgrade reaction (
k,
G) relation equation; Rigid bearing plate test through two or more size, can obtain coefficient of subgrade reaction (
k,
G) a set of equations group, utilize this equation group can try to achieve the coefficient of subgrade reaction of corresponding two-parameter ground (
k,
G).
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|---|---|---|---|
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| CN201210294310XA CN102776875A (en) | 2012-08-19 | 2012-08-19 | Method for field measurement for foundation bed coefficient of double-parameter foundation by virtue of static load test for rigid plates |
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104594323A (en) * | 2015-02-11 | 2015-05-06 | 浙江省工程勘察院 | Test device for coefficients of horizontal-reference foundation bed and test method using device |
| CN104631416A (en) * | 2013-11-07 | 2015-05-20 | 贵州中建建筑科研设计院有限公司 | Foundation bearing capacity load test method and combined piled load counter force standard block |
| CN112287574A (en) * | 2020-09-25 | 2021-01-29 | 上海大学 | Pile foundation dynamic stability analysis and calculation method under wave load action |
Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS5598518A (en) * | 1979-01-23 | 1980-07-26 | Dai Showa Eng Kk | Banking method for soft ground |
| JP2004332400A (en) * | 2003-05-08 | 2004-11-25 | Shimizu Corp | Method of measuring coefficient of subgrade reaction, device for deriving coefficient of subgrade reaction, method of constructing subgrade, and program |
| CN101377079A (en) * | 2008-10-08 | 2009-03-04 | 上海市政工程设计研究总院 | Method for measuring foundation bed coefficient indoor |
| CN101650286A (en) * | 2009-08-26 | 2010-02-17 | 中冶集团武汉勘察研究院有限公司 | Bedding coefficient testing method |
-
2012
- 2012-08-19 CN CN201210294310XA patent/CN102776875A/en active Pending
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS5598518A (en) * | 1979-01-23 | 1980-07-26 | Dai Showa Eng Kk | Banking method for soft ground |
| JP2004332400A (en) * | 2003-05-08 | 2004-11-25 | Shimizu Corp | Method of measuring coefficient of subgrade reaction, device for deriving coefficient of subgrade reaction, method of constructing subgrade, and program |
| CN101377079A (en) * | 2008-10-08 | 2009-03-04 | 上海市政工程设计研究总院 | Method for measuring foundation bed coefficient indoor |
| CN101650286A (en) * | 2009-08-26 | 2010-02-17 | 中冶集团武汉勘察研究院有限公司 | Bedding coefficient testing method |
Non-Patent Citations (2)
| Title |
|---|
| 中国力学学会计算力学委员会编: "《计算力学理论与应用》", 31 October 1992 * |
| 李苹君等: "成都卵石地基基床系数的研究", 《四川建筑科学研究》 * |
Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104631416A (en) * | 2013-11-07 | 2015-05-20 | 贵州中建建筑科研设计院有限公司 | Foundation bearing capacity load test method and combined piled load counter force standard block |
| CN104631416B (en) * | 2013-11-07 | 2017-02-22 | 贵州中建建筑科研设计院有限公司 | Foundation bearing capacity load test method and combined piled load counter force standard block |
| CN104594323A (en) * | 2015-02-11 | 2015-05-06 | 浙江省工程勘察院 | Test device for coefficients of horizontal-reference foundation bed and test method using device |
| CN112287574A (en) * | 2020-09-25 | 2021-01-29 | 上海大学 | Pile foundation dynamic stability analysis and calculation method under wave load action |
| CN112287574B (en) * | 2020-09-25 | 2021-10-08 | 上海大学 | Pile foundation dynamic stability analysis and calculation method under wave load action |
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Address after: 410082 Hunan province Changsha Lushan South Road in the Civil Engineering College of Hunan University Applicant after: Zhang Wangxi Address before: Yuelu District City, Hunan province 410082 Changsha Lushan Road No. 1 Applicant before: Zhang Wangxi |
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Application publication date: 20121114 |