CN112697608B - Method for judging plastic bending resistance bearing capacity of full section of steel member under bidirectional bending - Google Patents
Method for judging plastic bending resistance bearing capacity of full section of steel member under bidirectional bending Download PDFInfo
- Publication number
- CN112697608B CN112697608B CN202011434494.6A CN202011434494A CN112697608B CN 112697608 B CN112697608 B CN 112697608B CN 202011434494 A CN202011434494 A CN 202011434494A CN 112697608 B CN112697608 B CN 112697608B
- Authority
- CN
- China
- Prior art keywords
- section
- plastic
- bearing capacity
- included angle
- bending
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Active
Links
Images
Classifications
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N3/20—Investigating strength properties of solid materials by application of mechanical stress by applying steady bending forces
Landscapes
- Physics & Mathematics (AREA)
- Health & Medical Sciences (AREA)
- Life Sciences & Earth Sciences (AREA)
- Chemical & Material Sciences (AREA)
- Analytical Chemistry (AREA)
- Biochemistry (AREA)
- General Health & Medical Sciences (AREA)
- General Physics & Mathematics (AREA)
- Immunology (AREA)
- Pathology (AREA)
- Investigating Strength Of Materials By Application Of Mechanical Stress (AREA)
Abstract
The invention discloses a method for judging the plastic bending resistance bearing capacity of a full section of a steel member under bidirectional bending, which comprises the following steps: 1) determining the section type and the section size of the steel member, the yield strength of the material and the magnitude of the axial pressure; 2) calculating an expression of the relation between the accurate position of the section plastic neutral axis and the included angle under any included angle between the plastic neutral axis and the weak axis; 3) dividing the included angle from 0 degree to 90 degrees at intervals of a specific angle to obtain a plurality of selected angles; 4) obtaining the accurate position of the section plastic neutral axis under a specific included angle according to the step 2, determining the stress distribution form of the section plastic under the included angle, and calculating to obtain the plastic bending resistance bearing capacity in the directions of the two main shafts; 5) and (4) repeating the step (4) for all selected angles to obtain the plastic bending-resistant bearing capacity of the cross section under all selected included angles, and further obtaining the bidirectional correlation curve of the plastic bending-resistant bearing capacity of the full cross section of the steel member. The invention provides reference for the plastic design of the actual engineering under the complex stress state.
Description
Technical Field
The invention relates to a method for judging the plastic bending-resistant bearing capacity of a full section of a steel member under bidirectional bending, in particular to a method for obtaining stress distribution on the section by balancing the axial force of the section and obtaining the plastic bending-resistant bearing capacity curve of the full section of the steel member by rotating a plastic neutral axis.
Background
The calculation of the plastic bending resistance bearing capacity of the full section has important significance for building structures. Under the premise of not considering material reinforcement, when the component achieves full-section yielding, the component can be regarded as achieving the ultimate bending resistance bearing capacity. The ultimate bearing capacity of the steel member under the bidirectional bending provides a theoretical basis for the plastic design of the actual engineering, and guarantees the safety of the structure.
At present, the plastic design in the design specification of the Chinese steel structure is only to carry out the plastic design on the condition of bending the strong shaft, and the plastic bearing capacity under the bidirectional bending is not considered. The relevant curve of the European specification for bidirectional bending plastic design is too simple and conservative, and the actual limit bending bearing capacity of the steel member cannot be reflected. Therefore, a theoretical calculation method for the full-section bending resistance bearing capacity of the bidirectional bending steel member is needed.
Based on the assumption of a flat section, when the section reaches the plasticity of the full section, a plasticity neutral axis is determined to exist on the section to divide the section into two parts with yielding of tensile stress and compressive stress. From this assumption, the full-section plastic bending resistance of the component can be calculated from the section stress distribution form.
Disclosure of Invention
The invention aims to provide a method for judging the plastic bending bearing capacity of the full section of a steel member under the bidirectional bending, which calculates the axial pressure of the steel member and the plastic bending bearing capacity of the full section under the bidirectional bending action by rotating a plastic neutral axis on the basis of assuming the flat section.
The basic principle of the invention is that based on the basic assumption of the plane section assumption, the full-section plastic bending-resistant bearing capacity of the section is solved according to the section stress distribution form during full-section plasticity.
The invention provides a method for judging the plastic bending resistance bearing capacity of a full section of a steel member under bidirectional bending, which comprises the following steps of:
1) determining the section type and the section size of the steel member, the yield strength of the material and the magnitude of the axial pressure;
2) rotating the plastic neutral axis, and calculating to obtain an expression of the relation between the accurate position of the section plastic neutral axis and the included angle under any included angle based on an axial force balance condition;
3) dividing the included angle from 0 degree to 90 degrees by taking a specific angle (2 degrees, 5 degrees, 10 degrees and the like, the size of the incremental step influences the continuity of the result) as an interval to obtain a plurality of selected angles;
4) obtaining the accurate position of the section plastic neutral axis under a specific included angle according to the step 2), determining the stress distribution form of the section plastic under the included angle, and calculating to obtain the plastic bending resistance bearing capacity in the directions of the two main shafts;
5) and (4) repeating the step 4) for all selected angles to obtain the plastic bending-resistant bearing capacity of the cross section under all selected included angles, and further obtaining the bidirectional correlation curve of the plastic bending-resistant bearing capacity of the full cross section of the steel member.
In the above method, the steel member may have any one of a box-type section, an H-type section and a T-type section.
In the method, in the step 2), the position of the section plastic neutral axis is the stressed axis pressure and the included angle theta between the plastic neutral axis and the section main axis n Is uniquely determined.
In the above method, when the section type of the steel member is a box type,
let bt be f <ht w Because different axial pressures N can lead the calculation formula of the position coordinate of the plastic neutral axis under the same included angle to be different, the size of the axial pressure N is taken as a main division object of formula calculation, and then the included angle theta is taken as n Further subdivision is carried out; the following calculation is obtained:
when in use
The method comprises the following steps:
when in use
The method comprises the following steps:
when in use
The method comprises the following steps:
wherein h and b are the height and width of the box-shaped section respectively; t is t f And t w The thicknesses of the box section flange and the web are respectively; theta n Is an included angle between a plastic neutral axis and a weak axis; n is N/Af y Indicating the magnitude of the axial compression ratio; (x) n 0) and (0, y) n ) Respectively, the coordinates of the intersection points of the plastic neutral axis and the two main axes.
In the above method, when the steel member has a T-shaped section,
let bt be f <ht w Due to different axial pressures N, the same included angle theta is formed n The calculation formulas of the position coordinates of the lower plastic neutral axis are different, so that the main division object calculated by taking the magnitude of the axial pressure N as a formula is further divided by the included angle theta n Further subdivision is carried out; the following calculation is obtained:
when in use
The method comprises the following steps:
when in use
The method comprises the following steps:
wherein h and b are the height and width of the T-shaped section respectively; h is 0 The distance between the strong axis and the outer edge of the flange; t is t f And t w The thicknesses of the flange and the web with the T-shaped cross section are respectively; theta n Is an included angle between a plastic neutral axis and a weak axis; n is N/Af y Indicating the magnitude of the axial compression ratio; (x) n 0) and (0, y) n ) Respectively, the coordinates of the intersection points of the plastic neutral axis and the two main axes.
In the method, when the component achieves full section plasticity, the calculation formula of the bending resistance bearing capacity of the two main shafts is as follows:
M pcx ＝∫f y ydA；M pcy ＝∫f y xdA
wherein M is pcx And M pcy Respectively representing the bending resistance bearing capacity of the two main shafts when the whole section is plastic; f. of y Is the yield strength of the material; x and y respectively represent coordinate values of the integral unit in a rectangular coordinate system; dA represents the area of the integration unit.
The invention has the beneficial effects that:
the invention provides a full-section plastic ultimate bearing capacity curve for a bending member in actual engineering, provides a theoretical calculation method and provides reference for plastic design of the actual engineering under a complex stress state.
Drawings
FIG. 1 is a schematic view of a box-shaped cross-sectional dimension;
FIG. 2 is a schematic diagram of the position of a section plastic neutral axis and stress distribution of a steel member with a box-shaped section under a certain bidirectional bending stress;
FIG. 3 is a dimensional schematic of a T-section steel member;
FIG. 4 is a schematic diagram of the position of a section plastic neutral axis and stress distribution of a T-shaped section steel member under a certain bidirectional bending stress;
FIG. 5 is a full-section plastic bending resistance bearing capacity correlation curve under bidirectional bending.
Detailed Description
The present invention is further illustrated by, but is not limited to, the following examples.
Example 1:
the following description of the present invention is provided for understanding the present invention by those skilled in the art, but it should be understood that the present invention is not limited to the scope of the present invention, and the technical solutions described in the following examples can be modified or some technical features can be replaced by those skilled in the art, and the modifications or the replacements do not make the essence of the corresponding technical solutions depart from the technical scope of the present invention.
A method for judging full-section plastic bending resistance bearing capacity of a steel member under bidirectional bending comprises the following steps:
1) determining the section type and the section size of the steel member, the yield strength of the material and the magnitude of the axial pressure;
2) rotating the plastic neutral axis, and calculating to obtain an expression of the relation between the accurate position of the section plastic neutral axis and the included angle under any included angle based on the axial force balance condition;
3) dividing the included angle from 0 degree to 90 degrees by taking a specific angle (2 degrees, 5 degrees, 10 degrees and the like, the size of the incremental step influences the continuity of the result) as an interval to obtain a plurality of selected angles;
4) obtaining the accurate position of the section plastic neutral axis under a specific included angle according to the step 2), determining the stress distribution form of the section plastic at the included angle, and calculating to obtain the plastic bending resistance bearing capacity in the two main shaft directions;
5) and (4) repeating the step 4) for all selected angles to obtain the plastic bending-resistant bearing capacity of the cross section under all selected included angles, and further obtaining the bidirectional correlation curve of the plastic bending-resistant bearing capacity of the full cross section of the steel member.
In the above method, the steel member may have any one of a box-type section, an H-type section and a T-type section.
In the method, in the step 2), the position of the section plastic neutral axis is under the axial pressure and the included angle theta between the plastic neutral axis and the section main axis n Is uniquely determined.
In the following, a specific calculation method of the total-section plastic bending resistance under the bidirectional bending is given by taking a steel member with a box-section as an example.
Step 1: referring to FIG. 1, the geometrical dimensions (b, h, t) of the cross-section are determined f And t w ) Yield strength of the material f y The magnitude of the axial pressure N; assuming that the section size b is 200mm, h is 300mm, t f ＝t w ＝12mm，f y ＝345Mpa，n＝0.2，N＝nAf y ＝414kN；
Step 2: referring to FIG. 2, the plastic neutral axis is rotated, and based on the balance condition of the axial force, the arbitrary included angle theta between the plastic neutral axis and the weak axis is calculated n (0 DEG to 90 DEG), the exact position coordinate (x) of the section plastic neutral axis n 0) and (0, y) n ) At an angle theta of n An expression of the relationship;
from the calculation: when in use
And step 3: will form an included angle theta n The division from 0 ° to 90 ° at 5 ° intervals yields several selected angles: 0 °, 5 °, 10 ° … … 85 °, and 90 °;
and 4, step 4: obtaining the accurate position of the section plastic neutral axis under the specific included angle according to the step 2, and determining the included angle theta n The stress distribution form of the lower full section plasticity is calculated to obtain the plastic bending resistance bearing capacity in the two main shaft directions;
calculating by using the formula in the step 2 to obtain the accurate position coordinate (x) of the plastic neutral axis of the section type section n 0) and (0, y) n ) As shown in the following figures.
| θ n (°) | 0 | 5 | 10 | 15 | 20 | 25 | 30 |
| x n | -25.0 | -25.0 | -25.0 | -25.0 | -25.0 | -25.0 | -63.3 |
| y n | — | -285.8 | -141.8 | -93.3 | -68.7 | -53.6 | -109.6 |
| θ n (°) | 35 | 40 | 45 | 50 | 55 | 60 | 65 |
| x n | -66.2 | -21.0 | -25.0 | -29.8 | -35.7 | -43.3 | -53.6 |
| y n | -94.6 | -25.0 | -25.0 | -25.0 | -25.0 | -25.0 | -25.0 |
| θ n (°) | 70 | 75 | 80 | 85 | 90 | ||
| x n | -68.7 | -93.3 | -141.8 | -285.8 | — | ||
| y n | -25.0 | -25.0 | -25.0 | -25.0 | -25.0 |
By making a pair of formula M pcx ＝∫f y ydA and M pcy ＝∫f y xdA calculating the bending resistance of the section when the section is plastic, the bending resistance is shown in the following table;
| θ n (°) | 0 | 5 | 10 | 15 | 20 | 25 | 30 |
| M pcx (kN·m) | 6.5 | 32.6 | 65.7 | 99.8 | 135.6 | 173.7 | 215.3 |
| M pcy (kN·m) | 306.1 | 304.7 | 300.4 | 292.8 | 281.5 | 265.6 | 247.5 |
| θ n (°) | 35 | 40 | 45 | 50 | 55 | 60 | 65 |
| M pcx (kN·m) | 241.6 | 283.3 | 318.1 | 342.6 | 360.3 | 373.3 | 382.9 |
| M pcy (kN·m) | 230.8 | 197.4 | 165.6 | 139.0 | 116.0 | 95.6 | 77.2 |
| θ n (°) | 70 | 75 | 80 | 85 | 90 | ||
| M pcx (kN·m) | 389.9 | 395.0 | 398.3 | 400.3 | 400.9 | ||
| M pcy (kN·m) | 60.3 | 44.4 | 29.2 | 14.5 | 0.0 |
and 5: and (4) repeating the step (4) for all selected angles to obtain the plastic bending-resistant bearing capacity of the cross section under all selected included angles, and further obtaining the full-section plastic bending-resistant bearing capacity bidirectional correlation curve of the steel member.
Finally, a curve relating the plastic bending resistance bearing capacity of the full section under the bidirectional bending is obtained as shown in fig. 5.
Claims (4)
1. A method for judging the plastic bending-resistant bearing capacity of a full section of a steel member under bidirectional bending is characterized by comprising the following steps of:
1) determining the section type and the section size of the steel member, the yield strength of the material and the magnitude of the axial pressure;
2) rotating the plastic neutral axis, and obtaining an expression of the relation between the accurate position of the section plastic neutral axis and the included angle at any included angle based on the axial force balance condition;
3) dividing the included angle from 0 degree to 90 degrees at intervals of a specific angle to obtain a plurality of selected angles;
4) obtaining the accurate position of the section plastic neutral axis under a specific included angle according to the step 2), determining the stress distribution form of the section plastic at the included angle, and calculating to obtain the plastic bending resistance bearing capacity in the two main shaft directions;
5) for all selected angles, repeating the step 4) to obtain the plastic bending-resistant bearing capacity of the cross section under all selected included angles, and further obtaining the bidirectional correlation curve of the plastic bending-resistant bearing capacity of the full cross section of the steel member;
when the section type of the steel member is a box type,
let bt be f <ht w Because different axial pressures N can lead the calculation formulas of the position coordinates of the plastic neutral axis under the same included angle to be different, the size of the axial pressure N is taken as a main division object calculated by a formula, and then the included angle is further subdivided; the following calculation is obtained:
when in use
The method comprises the following steps:
when in use
When the method is used:
when in use
The method comprises the following steps:
wherein h and b are the height and width of the box-shaped section respectively; t is t f And t w The thickness of the box section flange and the web respectively; theta n Is an included angle between a plastic neutral axis and a weak axis; n is N/Af y Indicating the magnitude of the axial compression ratio; (x) n 0) and (0, y) n ) Respectively are coordinates of the intersection points of the plastic neutral axis and the two main axes;
when the steel member has a T-shaped section type,
let bt be f <ht w The same angle theta will be caused by different axial pressures N n The calculation formulas of the position coordinates of the lower plastic neutral axis are different, so that the main division object calculated by taking the magnitude of the axial pressure N as a formula is further divided by the included angle theta n Further subdivision is carried out; the following calculation is obtained:
when in use
The method comprises the following steps:
when in use
The method comprises the following steps:
wherein h and b are the height and width of the T-shaped section respectively; h is 0 The distance between the strong axis and the outer edge of the flange; t is t f And t w The thicknesses of the flange and the web with the T-shaped cross section are respectively; theta n Is an included angle between a plastic neutral axis and a weak axis; n is N/Af y Indicating the magnitude of the axial compression ratio; (x) n 0) and (0, y) n ) Respectively, the coordinates of the intersection points of the plastic neutral axis and the two main axes.
2. The method for determining the full-section plastic bending resistance bearing capacity under the bidirectional bending of the steel member according to claim 1, characterized in that: in the step 2), the position of the section plastic neutral axis is under the axial pressure and the included angle theta between the plastic neutral axis and the section main axis n Is uniquely determined.
3. The method for determining the full-section plastic bending resistance bearing capacity under the bidirectional bending of the steel member according to claim 1, characterized in that: the specific angle includes 2 °, 5 °, or 10 °.
4. The method for determining the full-section plastic bending resistance bearing capacity of the steel member under bidirectional bending according to claim 1, characterized in that: when the component achieves full section plasticity, the calculation formula of the bending resistance bearing capacity of the two main shafts is as follows:
M pcx ＝∫f y ydA；M pcy ＝∫f y xdA
wherein M is pcx And M pcy Respectively representing the bending resistance bearing capacity of the two main shafts when the whole section is plastic; f. of y Is the yield strength of the material; x and y respectively represent coordinate values of the integral unit in a rectangular coordinate system; dA represents the area of the integration unit.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202011434494.6A CN112697608B (en) | 2020-12-10 | 2020-12-10 | Method for judging plastic bending resistance bearing capacity of full section of steel member under bidirectional bending |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202011434494.6A CN112697608B (en) | 2020-12-10 | 2020-12-10 | Method for judging plastic bending resistance bearing capacity of full section of steel member under bidirectional bending |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN112697608A CN112697608A (en) | 2021-04-23 |
| CN112697608B true CN112697608B (en) | 2022-09-13 |
Family
ID=75505754
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202011434494.6A Active CN112697608B (en) | 2020-12-10 | 2020-12-10 | Method for judging plastic bending resistance bearing capacity of full section of steel member under bidirectional bending |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN112697608B (en) |
Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US3824846A (en) * | 1970-04-14 | 1974-07-23 | Bofors Ab | Holder for force transducer |
| CN101892626A (en) * | 2010-08-02 | 2010-11-24 | 长安大学 | Steel pipe concrete flange combining beam with concrete fender |
| CN103115827A (en) * | 2013-02-18 | 2013-05-22 | 山东省交通科学研究所 | Method for testing repeated loading four-point stiffness modulus of asphalt mixture |
| CN103306167A (en) * | 2012-03-13 | 2013-09-18 | 欧阳炎 | Double-layer bidirectional pre-tensioned track plate |
Family Cites Families (16)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| ES2150615T3 (en) * | 1995-05-31 | 2000-12-01 | Hoechst Ag | BIAXIALLY ORIENTED POLYPROPYLENE SHEET WITH IMPROVED PROPERTIES REGARDING THE MECHANICS AND THE BARRIER. |
| US7502670B2 (en) * | 2004-07-26 | 2009-03-10 | Salient Systems, Inc. | System and method for determining rail safety limits |
| JP2011027493A (en) * | 2009-07-23 | 2011-02-10 | Toshiba Corp | Apparatus, method and program for destructive evaluation of piping |
| US9707735B2 (en) * | 2010-03-26 | 2017-07-18 | Masco Bath Corporation | Layered sandwich structure |
| US10036693B2 (en) * | 2014-02-17 | 2018-07-31 | Hitachi, Ltd. | Method and apparatus for evaluating ductile fracture |
| CN104215526A (en) * | 2014-09-24 | 2014-12-17 | 东南大学 | Equi-biaxial bending in-situ loading device based on X-ray computerized tomography and using method |
| JP6438257B2 (en) * | 2014-09-30 | 2018-12-12 | 高周波熱錬株式会社 | Design method of reinforced concrete structure and reinforced concrete structure |
| CN104699988B (en) * | 2015-03-27 | 2017-07-21 | 北京筑信达工程咨询有限公司 | The fast method that reinforced concrete member Ultimate flexural strength is calculated |
| CN104915572B (en) * | 2015-07-01 | 2019-02-22 | 北京林业大学 | The method of efficiently and accurately prediction FRP enhancing structure integrated timber wooden frame ultimate bending moment |
| CN108256129A (en) * | 2016-12-27 | 2018-07-06 | 大连理工大学 | Special-Shaped Column bearing capacity calculation system based on Z-section replacement theory |
| CN110822294B (en) * | 2018-08-13 | 2021-07-13 | 中国石油化工股份有限公司 | Submarine pipeline structure bending failure assessment method containing corrosion defects |
| CN110263486B (en) * | 2019-07-02 | 2020-11-13 | 杭州铁木辛柯建筑结构设计事务所有限公司 | Bidirectional bending stable bearing judgment method for special-shaped steel pipe concrete column |
| CN110263484B (en) * | 2019-07-02 | 2022-05-06 | 杭州铁木辛柯建筑结构设计事务所有限公司 | Method for judging section limit bearing of L-shaped concrete filled steel tube column under composite stress |
| CN110362940B (en) * | 2019-07-19 | 2022-05-17 | 中国船舶科学研究中心（中国船舶重工集团公司第七0二研究所） | Method for calculating ultimate bearing capacity of ocean engineering structure under complex load effect |
| CN110990922B (en) * | 2019-11-27 | 2024-02-27 | 江南大学 | Bending-resistant bearing capacity calculation method for section beam under hogging moment effect |
| CN111220467B (en) * | 2020-03-11 | 2020-11-13 | 中铁科学研究院有限公司 | Method for measuring normal section bearing capacity and reinforcing bar of steel bar-steel fiber concrete shield segment |
-
2020
- 2020-12-10 CN CN202011434494.6A patent/CN112697608B/en active Active
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US3824846A (en) * | 1970-04-14 | 1974-07-23 | Bofors Ab | Holder for force transducer |
| CN101892626A (en) * | 2010-08-02 | 2010-11-24 | 长安大学 | Steel pipe concrete flange combining beam with concrete fender |
| CN103306167A (en) * | 2012-03-13 | 2013-09-18 | 欧阳炎 | Double-layer bidirectional pre-tensioned track plate |
| CN103115827A (en) * | 2013-02-18 | 2013-05-22 | 山东省交通科学研究所 | Method for testing repeated loading four-point stiffness modulus of asphalt mixture |
Non-Patent Citations (2)
| Title |
|---|
| T形钢管混凝土截面在双向弯矩和轴力联合作用下的相互作用曲线;童根树等;《钢结构(中英文)》;20200422(第04期);第15-22页 * |
| 矩形钢管高强混凝土双向压弯构件截面强度;田华等;《哈尔滨工业大学学报》;20071015(第10期);第13-21页 * |
Also Published As
| Publication number | Publication date |
|---|---|
| CN112697608A (en) | 2021-04-23 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN107167119B (en) | Data processing method for projection deformation | |
| Green | XCII. A theoretical investigation of the compression of a ductile material between smooth flat dies | |
| CN104298840B (en) | A kind of determination method of triangular section steel tower tower body wind load | |
| CN110362940A (en) | Complex load acts on lower offshore engineering structure ultimate bearing capacity calculation method | |
| CN112697608B (en) | Method for judging plastic bending resistance bearing capacity of full section of steel member under bidirectional bending | |
| CN104077440A (en) | Junction surface contact area and rigidity confirming method based on surface fitting | |
| CN107506529A (en) | A kind of Composite Material Stiffened Panel Axial Compression Stability computational methods | |
| CN101692028A (en) | Method for measuring large deformation flow stress curve of metal plate | |
| Ma et al. | Research and verification on neutral layer offset of bar in two-roll straightening process | |
| CN114218655A (en) | Practical calculation method for shear stress of variable-cross-section corrugated steel web composite beam bridge | |
| CN204575080U (en) | Plumb line manual observation sighting device | |
| CN105127268A (en) | Design method for hydro-mechanical deep drawing hydraulic loading range of semi-elliptical part | |
| CN116793286A (en) | Wall thickness detection method for large-size target material | |
| CN104820780A (en) | Method for computing equivalent Poisson ratio of concave honeycomb structure | |
| CN217419663U (en) | Foundation pit enclosure structure adopting unequal-section SMW construction method piles | |
| CN111737878A (en) | Segment internal force calculation method for horizontal tunnel in vertical pipe jacking method construction process | |
| Bauer et al. | Asymmetric buckling of orthortropic plates under normal pressure | |
| Ključanin et al. | The cantilever beams analysis by the means of the first-order shear deformation and the Euler-Bernoulli theory | |
| CN111241640B (en) | Method for calculating offset of neutral layer of radial section in bar bending process | |
| CN101995213B (en) | Detection method of double-curvature plate after cold forming | |
| CN115828369A (en) | Toe board elevation angle calculation method and rock-fill dam | |
| CN106250601A (en) | The determination method and device of hyperbolic steel construction cooling tower blast extreme value | |
| CN105003026A (en) | Method for calculating stiffness of web of rectangular recessed cavity structure | |
| Cai et al. | Stress and strength analysis of non-right angle H-section beam | |
| CN107480407B (en) | Equivalent rectangular cross section calculation method and device for steel pipe concrete special-shaped column and terminal |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |