CN107862109B - Calculation method for elastic modulus of steel wire rope - Google Patents
Calculation method for elastic modulus of steel wire rope Download PDFInfo
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- CN107862109B CN107862109B CN201710947698.1A CN201710947698A CN107862109B CN 107862109 B CN107862109 B CN 107862109B CN 201710947698 A CN201710947698 A CN 201710947698A CN 107862109 B CN107862109 B CN 107862109B
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
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Abstract
The invention discloses a method for calculating the elastic modulus of a steel wire rope, which specifically comprises the following steps: step 1, designing steel wire rope parameters; step 2, designing parameters of the round steel; step 3, obtaining the elastic modulus E of the steel wire rope according to the results obtained in the steps 1 and 22. The invention enables a steel wire rope designer to rapidly obtain the elastic modulus of the steel wire rope when designing and timing under any condition.
Description
Technical Field
The invention belongs to the technical field of steel wire rope production of wire rod products, and relates to a method for calculating the elastic modulus of a steel wire rope.
Background
The steel wire rope is a flexible body composed of a plurality of wires and a plurality of strands, the elastic modulus of the steel wire rope is completely different from that of a common wire rod, the steel wire rope has different structures, and the elastic modulus is different. In practice, the elastic modulus is usually measured by using 0-30% of minimum breaking force, and the elastic modulus is a very key physical index in the industries of fixed bridges, stay cables and various suspended buildings as a basic physical property of steel wire ropes. At present, only 1 standard (GB/T24191-2009) method for measuring the actual elastic modulus of the steel wire rope is used for measuring the elastic modulus of the steel wire rope in China, so that the method for obtaining the elastic modulus of the steel wire rope is a technical problem in the wire product industry besides the elastic modulus obtained by tests, and the designed elastic modulus value is difficult to calculate. Especially, when the steel wire rope is used in a fixed occasion and has no test condition, the acquisition of the elastic modulus is particularly important when the steel wire rope parameters are initially designed.
Disclosure of Invention
The invention aims to provide a method for calculating the elastic modulus of a steel wire rope, so that a steel wire rope designer can quickly obtain the elastic modulus of the steel wire rope when designing and timing under any condition.
The technical scheme adopted by the invention is that the method for calculating the elastic modulus of the steel wire rope specifically comprises the following steps:
step 1, designing steel wire rope parameters;
step 2, designing parameters of the round steel;
step 3, obtaining the elastic modulus E of the steel wire rope according to the results obtained in the steps 1 and 22。
The present invention is also characterized in that,
wherein the steel wire rope parameters designed in the step 1 comprise: original length of steel wire rope2The elongation of the steel wire rope after being stressed is delta l2Steel cable lay angle beta, steel cable stress F2Steel wire rope cross-sectional area A2。
Wherein the round steel parameters designed in the step 2 comprise: original length of round steel1The elongation of the round steel after being stressed is delta l1Round steel stress F1Round steel section area A1Wherein A is1Is the sum of the sectional areas of all steel wires in the steel wire rope.
The specific process of the step 3 is as follows:
the modulus of elasticity of the known round steel is E1The stress of the round steel and the steel wire rope is equivalent, namely the following formula (1) shows:
F1＝F2 (1)；
from hooke's law in material mechanics, the following formula (2) can be derived:
wherein the elastic modulus E of the steel wire rope in the step 32The solution process of (2) is as follows:
due to the elongation delta l of the round steel after being stressed1Is the elongation delta l of the steel wire rope after being stressed2The projection on the plane can be known according to the equivalent conditions and the projection relation:
l1＝l2 (3)；
Δl1＝Δl2cosβ (4)；
substituting the formulas (3) and (4) into the formula (2) to obtain the final product;
the method has the advantages that based on Hooke's law, the steel wire rope and the round steel are subjected to equivalent stress to obtain a calculation formula of the elastic modulus of the steel wire rope, after the design parameters of the steel wire rope and the round steel are obtained, the design parameters are substituted into the formula of the elastic modulus of the steel wire rope, and the specific numerical value of the elastic modulus of the steel wire rope can be calculated.
Detailed Description
The present invention will be described in detail with reference to the following embodiments.
The invention relates to a method for calculating the elastic modulus of a steel wire rope, which specifically comprises the following steps:
step 1, designing steel wire rope parameters;
the steel wire rope parameters designed in the step 1 comprise: original length of steel wire rope2The elongation of the steel wire rope after being stressed is delta l2Steel cable lay angle beta, steel cable stress F2Steel wire rope cross-sectional area A2。
Step 2, designing parameters of the round steel;
the round steel parameters designed in the step 2 comprise: original length of round steel1The elongation of the round steel after being stressed is delta l1Round steel stress F1Round steel section area A1Wherein A is1Is the sum of the sectional areas of all steel wires in the steel wire rope.
Step 3, obtaining the elastic modulus E of the steel wire rope according to the results obtained in the steps 1 and 22。
The specific process of step 3 is as follows:
the modulus of elasticity of the known round steel is E1The stress of the round steel and the steel wire rope is equivalent, namely the following formula (1) shows:
F1＝F2 (1)；
from hooke's law in material mechanics, the following formula (2) can be derived:
due to the elongation delta l of the round steel after being stressed1Is the elongation delta l of the steel wire rope after being stressed2The projection on the plane can be known according to the equivalent conditions and the projection relation:
l1＝l2 (3)；
Δl1＝Δl2cosβ (4)；
substituting the formulas (3) and (4) into the formula (2) to obtain the final product;
examples
The elastic modulus of the steel wire rope is calculated by taking D73.00mm 6 multiplied by 36WS-6 multiplied by 7-1 multiplied by 7, the multiple of the lay length of the rope is 6.8 times of the nominal diameter of the rope and the lay length of the strand is 10 times as an example.
The design parameter of the D73 steel rope is steel bar area A1Is 2623mm2Area A of the wire rope2Is 4183mm2The twist angle beta of the steel wire rope is 18.34 degrees, and the elastic modulus E of the round steel1The modulus of elasticity E of a steel wire rope obtained at 210GPa2The following were used:
Claims (1)
1. a method for calculating the elastic modulus of a steel wire rope is characterized by comprising the following steps: the method specifically comprises the following steps:
step 1, designing steel wire rope parameters;
step 2, designing parameters of the round steel;
step 3, obtaining the elastic modulus E of the steel wire rope according to the results obtained in the steps 1 and 22；
The steel wire rope parameters designed in the step 1 comprise: original length of steel wire rope2The elongation of the steel wire rope after being stressed is delta l2Steel cable lay angle beta, steel cable stress F2Steel wire rope cross-sectional area A2；
The round steel parameters designed in the step 2 comprise: original length of round steel1The elongation of the round steel after being stressed is delta l1Round steel stress F1Round steel section area A1Wherein A is1The sum of the sectional areas of all steel wires in the steel wire rope;
the specific process of the step 3 is as follows:
the modulus of elasticity of the known round steel is E1The stress of the round steel and the steel wire rope is equivalent, namely the following formula (1) shows:
F1＝F2 (1)；
from hooke's law in material mechanics, the following formula (2) can be derived:
the elastic modulus E of the steel wire rope in the step 32The solution process of (2) is as follows:
due to the elongation delta l of the round steel after being stressed1Is the elongation delta l of the steel wire rope after being stressed2The projection on the plane can be known according to the equivalent conditions and the projection relation:
l1＝l2 (3)；
Δl1＝Δl2cosβ (4)；
substituting the formulas (3) and (4) into the formula (2) to obtain the final product;
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
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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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| CN107862109A CN107862109A (en) | 2018-03-30 |
| CN107862109B true CN107862109B (en) | 2021-02-12 |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| 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)
| 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 |
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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 (2)
| Title |
|---|
| 钢丝绳弹性模量的研究;吴沂隆;《福建林业科技》;20030930;第30卷(第3期);第62-64页 * |
| 随机振动试验法测定钢丝绳的弹性模量;王猛 等;《力学与实践》;20140430;第36卷(第2期);第171、195-197页 * |
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