CN107862109A - A kind of computational methods of steel wire rope modulus of elasticity - Google Patents
A kind of computational methods of steel wire rope modulus of elasticity Download PDFInfo
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- CN107862109A CN107862109A CN201710947698.1A CN201710947698A CN107862109A CN 107862109 A CN107862109 A CN 107862109A CN 201710947698 A CN201710947698 A CN 201710947698A CN 107862109 A CN107862109 A CN 107862109A
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- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
Abstract
The invention discloses a kind of computational methods of steel wire rope modulus of elasticity, specifically comprise the following steps：Step 1, steel wire rope parameter is designed；Step 2, the parameter of round steel is designed；Step 3, according to step 1 and step 2 acquired results, the elastic modulus E of steel wire rope is sought2.The present invention makes Wire Rope Design when person designs in any case, can obtain the modulus of elasticity of steel wire rope rapidly.
Description
Technical field
The invention belongs to the Wire Rope Production technical field of wire fabrication, is related to a kind of calculating side of steel wire rope modulus of elasticity
Method.
Background technology
Steel wire rope is a kind of flexible body being made up of multifibres, multiply, and its modulus of elasticity is totally different from common wire, steel again
Cord structure is different, modulus of elasticity difference.In practice, generally use 0-30% minimum breaking force measure springform
Amount, a kind of and Fundamental Physical Properties of the modulus of elasticity as steel wire rope, the fixed cable of bridge, suspension cable and it is all kinds of vacantly
Building trade is a very crucial physical index.Only 1 standard (GB/T 24191-2009) steel wire rope domestic at present is real
How border elasticity modulus measuring method in addition to experiment can obtain modulus of elasticity, obtains for determining the modulus of elasticity of steel wire rope therefore
It is one technical barrier of wire fabrication industry to obtain steel wire rope modulus of elasticity, and the elastic mould value designed is also difficult to calculate.Especially
Used in stationary applica-tions, in the case of no experimental condition, during initial designs steel wire rope parameter, the acquisition of modulus of elasticity seems especially
It is important.
The content of the invention
It is an object of the invention to provide a kind of computational methods of steel wire rope modulus of elasticity, the person that makes Wire Rope Design is in any feelings
Condition divides into timing, can obtain the modulus of elasticity of steel wire rope rapidly.
The technical solution adopted in the present invention is a kind of computational methods of steel wire rope modulus of elasticity, to specifically include following step
Suddenly：
Step 1, steel wire rope parameter is designed；
Step 2, the parameter of round steel is designed；
Step 3, according to step 1 and step 2 acquired results, the elastic modulus E of steel wire rope is sought2。
The features of the present invention also resides in,
The steel wire rope parameter wherein designed in step 1 includes：The former long l of steel wire rope2, the elongation after steel wire rope stress be Δ
l2, steel wire rope spiral angle β, steel wire rope stress F2, steel wire rope sectional area A2。
The round steel parameter wherein designed in step 2 includes：The former long l of round steel1, the elongation after round steel stress be Δ l1, round steel
Stress F1, round steel sectional area A1, wherein A1Sum is accumulated for all section of steel wire in steel wire rope.
The detailed process of wherein step 3 is as follows：
The modulus of elasticity of known round steel is E1, round steel and steel wire rope stress are equivalent, i.e., shown in equation below (1)：
F1=F2(1)；
Hooke's law in the mechanics of materials can obtain equation below (2)：
The elastic modulus E of steel wire rope wherein in step 32Solution procedure it is as follows：
Due to the elongation Δ l after round steel stress1For the elongation Δ l after steel wire rope stress2In the projection of plane, according to
Equivalent condition and projection relation are understood：
l1=l2(3)；
Δl1=Δ l2cosβ (4)；
Formula (3), (4) are substituted into formula (2) and can obtained；
The invention has the advantages that the present invention is based on Hooke's law, makes steel wire rope and round steel stress equivalent, obtain steel wire
The calculation formula of rope modulus of elasticity, after steel wire rope and round steel design parameter is obtained, the design parameter is substituted into steel wire rope bullet
In property tangent elastic modulus, you can calculate the concrete numerical value of steel wire rope modulus of elasticity, this method makes Wire Rope Design person is in any situation
Timing is divided into, the modulus of elasticity of steel wire rope can be obtained rapidly.
Embodiment
With reference to embodiment, the present invention is described in detail.
A kind of computational methods of steel wire rope modulus of elasticity of the present invention, specifically comprise the following steps：
Step 1, steel wire rope parameter is designed；
The steel wire rope parameter designed in step 1 includes：The former long l of steel wire rope2, the elongation after steel wire rope stress be Δ l2, steel
Cord spiral angle β, steel wire rope stress F2, steel wire rope sectional area A2。
Step 2, the parameter of round steel is designed；
The round steel parameter designed in step 2 includes：The former long l of round steel1, the elongation after round steel stress be Δ l1, round steel stress
F1, round steel sectional area A1, wherein A1Sum is accumulated for all section of steel wire in steel wire rope.
Step 3, according to step 1 and step 2 acquired results, the elastic modulus E of steel wire rope is sought2。
The detailed process of step 3 is as follows：
The modulus of elasticity of known round steel is E1, round steel and steel wire rope stress are equivalent, i.e., shown in equation below (1)：
F1=F2(1)；
Hooke's law in the mechanics of materials can obtain equation below (2)：
Due to the elongation Δ l after round steel stress1For the elongation Δ l after steel wire rope stress2In the projection of plane, according to
Equivalent condition and projection relation are understood：
l1=l2(3)；
Δl1=Δ l2cosβ (4)；
Formula (3), (4) are substituted into formula (2) and can obtained；
Embodiment
With 6 × 36WS-6 of D73.00mm × 7-1 × 7, rope laying pitch coefficient is 6.8 times of nominal rope footpaths, and the stock lay pitch is 10 times and is
Example, carry out steel wire rope modulus of elasticity calculating.
The design parameter of D73 steel cables is rod iron area A1For 2623mm2, steel wire rope area A2For 4183mm2, steel wire rope sth. made by twisting
Angle beta is 18.34 °, round steel elastic modulus E1=210GPa, the elastic modulus E for the steel wire rope asked2It is as follows：
Claims (5)
- A kind of 1. computational methods of steel wire rope modulus of elasticity, it is characterised in that：Specifically comprise the following steps：Step 1, steel wire rope parameter is designed；Step 2, the parameter of round steel is designed；Step 3, according to step 1 and step 2 acquired results, the elastic modulus E of steel wire rope is sought2。
- A kind of 2. computational methods of steel wire rope modulus of elasticity according to claim 1, it is characterised in that：In the step 1 The steel wire rope parameter of design includes：The former long l of steel wire rope2, the elongation after steel wire rope stress be Δ l2, steel wire rope spiral angle β, steel wire Stress of restricting F2, steel wire rope sectional area A2。
- A kind of 3. computational methods of steel wire rope modulus of elasticity according to claim 2, it is characterised in that：In the step 2 The round steel parameter of design includes：The former long l of round steel1, the elongation after round steel stress be Δ l1, round steel stress F1, round steel sectional area A1, wherein A1Sum is accumulated for all section of steel wire in steel wire rope.
- A kind of 4. computational methods of steel wire rope modulus of elasticity according to claim 3, it is characterised in that：The step 3 Detailed process is as follows：The modulus of elasticity of known round steel is E1, round steel and steel wire rope stress are equivalent, i.e., shown in equation below (1)：F1=F2(1)；Hooke's law in the mechanics of materials can obtain equation below (2)：<mrow> <msub> <mi>E</mi> <mn>1</mn> </msub> <mfrac> <mrow> <msub> <mi>&Delta;l</mi> <mn>1</mn> </msub> </mrow> <msub> <mi>l</mi> <mn>1</mn> </msub> </mfrac> <msub> <mi>A</mi> <mn>1</mn> </msub> <mo>=</mo> <msub> <mi>E</mi> <mn>2</mn> </msub> <mfrac> <mrow> <msub> <mi>&Delta;l</mi> <mn>2</mn> </msub> </mrow> <msub> <mi>l</mi> <mn>2</mn> </msub> </mfrac> <msub> <mi>A</mi> <mn>2</mn> </msub> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>2</mn> <mo>)</mo> </mrow> <mo>.</mo> </mrow>
- 5. a kind of computational methods of steel wire rope modulus of elasticity according to claim 4, its featureIt is：The elastic modulus E of steel wire rope in the step 32Solution procedure it is as follows：Due to the elongation Δ l after round steel stress1For the elongation Δ l after steel wire rope stress2In the projection of plane, according to equivalent Condition and projection relation are understood：l1=l2(3)；Δl1=Δ l2cosβ (4)；Formula (3), (4) are substituted into formula (2) and can obtained；<mrow> <msub> <mi>E</mi> <mn>2</mn> </msub> <mo>=</mo> <msub> <mi>E</mi> <mn>1</mn> </msub> <mfrac> <msub> <mi>A</mi> <mn>1</mn> </msub> <msub> <mi>A</mi> <mn>2</mn> </msub> </mfrac> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mi>&beta;</mi> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>5</mn> <mo>)</mo> </mrow> <mo>.</mo> </mrow>
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| CN201710947698.1A CN107862109B (en) | 2017-10-12 | 2017-10-12 | Calculation method for elastic modulus of steel wire rope |
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| CN201710947698.1A CN107862109B (en) | 2017-10-12 | 2017-10-12 | Calculation method for elastic modulus of steel wire rope |
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| CN107862109B CN107862109B (en) | 2021-02-12 |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109457520A (en) * | 2018-12-30 | 2019-03-12 | 辽宁通达建材实业有限公司 | A method of control steel strand wires elasticity modulus |
Citations (3)
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|---|---|---|---|---|
| US20100285968A1 (en) * | 2009-05-05 | 2010-11-11 | Electric Power Research Institute, Inc. | Thermal contraction compensation for superconducting and cryo-resistive cables |
| CN104298808A (en) * | 2014-08-26 | 2015-01-21 | 国家电网公司 | Stress calculation method for power transmission tower nonlinear flexible member |
| CN105730137A (en) * | 2016-02-01 | 2016-07-06 | 清华大学 | Flexible cable spoke type bicycle wheel |
-
2017
- 2017-10-12 CN CN201710947698.1A patent/CN107862109B/en active Active
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20100285968A1 (en) * | 2009-05-05 | 2010-11-11 | Electric Power Research Institute, Inc. | Thermal contraction compensation for superconducting and cryo-resistive cables |
| CN104298808A (en) * | 2014-08-26 | 2015-01-21 | 国家电网公司 | Stress calculation method for power transmission tower nonlinear flexible member |
| CN105730137A (en) * | 2016-02-01 | 2016-07-06 | 清华大学 | Flexible cable spoke type bicycle wheel |
Non-Patent Citations (3)
| Title |
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| M. GIGLIO 等: "Life prediction of a wire rope subjected to axial and bending loads", 《ENGINEERING FAILURE ANALYSIS》 * |
| 吴沂隆: "钢丝绳弹性模量的研究", 《福建林业科技》 * |
| 王猛 等: "随机振动试验法测定钢丝绳的弹性模量", 《力学与实践》 * |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109457520A (en) * | 2018-12-30 | 2019-03-12 | 辽宁通达建材实业有限公司 | A method of control steel strand wires elasticity modulus |
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