CN107563049A - A kind of design method of Steel Fiber Recycled Concrete beam - Google Patents

A kind of design method of Steel Fiber Recycled Concrete beam Download PDF

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CN107563049A
CN107563049A CN201710765995.4A CN201710765995A CN107563049A CN 107563049 A CN107563049 A CN 107563049A CN 201710765995 A CN201710765995 A CN 201710765995A CN 107563049 A CN107563049 A CN 107563049A
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recycled concrete
design
steel fiber
concrete
beams
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CN107563049B (en
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高丹盈
朱倩
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Zhengzhou University
Henan Institute of Engineering
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Zhengzhou University
Henan Institute of Engineering
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Abstract

The invention belongs to architectural design technical field of structures, particularly relate to a kind of design method of Steel Fiber Recycled Concrete beam, primarily to provide a kind of design structure method of brand-new Steel Fiber Recycled Concrete, it is effective to overcome regeneration concrete easy to crack and the technical problem of poor rigidity, a kind of design method of Steel Fiber Recycled Concrete beam is provided, the design method of the Steel Fiber Recycled Concrete beam comprises the following steps：1. determining the cross-sectional width b and depth of section h of the reinforced steel fibre Recycled Concrete Beams of the design, 2. determine the ratio of reinforcement of the reinforced steel fibre Recycled Concrete Beamsρ Mu Value, 3. determine the amount of deflection of reinforced steel fibre Recycled Concrete BeamsfValue, 4. cracking checking computations；5. crack width calculation；The design structure method, not only effectively overcomes that regeneration concrete is easy to crack and the technical problem of poor rigidity, while is also effectively guaranteed the structural stability can of Steel Fiber Recycled Concrete, at the same be also effectively applied to weigh or the non-structural beams weighed in.

Description

A kind of design method of Steel Fiber Recycled Concrete beam
Technical field：
The invention belongs to architectural design technical field of structures；Particularly relate to a kind of Steel Fiber Recycled Concrete beam Design method.
Background technology：
Regeneration concrete refers to discarded concrete block after broken, cleaning, classification, is compounded by a certain percentage with level Close, partly or entirely replace the natural aggregates such as sandstone (mainly coarse aggregate), add cement, water etc. and match somebody with somebody the new coagulation formed Soil；Regeneration concrete can have following several situations by the combining form gathered materials：Gather materials all regenerated aggregates；Coarse aggregate is again Life is gathered materials, fine aggregate is natural sand；Coarse aggregate is natural rubble or cobble, fine aggregate are regenerated aggregate；Regenerated aggregate replacement portion Divide coarse aggregate or fine aggregate；Regeneration concrete is a kind of effective means for handling building waste, but regeneration concrete master now To be applied in non bearing structure, and structural stability can is poor, particularly in Steel Fiber Recycled Concrete design process not It can effectively ensure that regeneration concrete is easy to crack and the technical problem of poor rigidity, so providing a kind of dedicated for designing steel fibre The construction work technology of regeneration concrete just seems unusual necessity.
The content of the invention：
The goal of the invention of the present invention：
Primarily to providing a kind of design structure method of brand-new Steel Fiber Recycled Concrete, not only effectively overcome Regeneration concrete is easy to crack and the technical problem of poor rigidity, while the structure for being also effectively guaranteed Steel Fiber Recycled Concrete is steady Qualitative energy, and the steel fibre reproduction concrete structure designed by this method can be effectively applied to weigh or non-title In the structural beams of weight, and the Steel Fiber Recycled Concrete girder construction of structural approach design also effectively meets beam body knot simultaneously The property indices of structure design, brand-new design concept is opened for the design of Steel Fiber Recycled Concrete structure.
The technical scheme is that：
Provide a kind of design method of Steel Fiber Recycled Concrete beam, the design method of the Steel Fiber Recycled Concrete beam Comprise the following steps：
(1), according to the rise-span ratio empirical value of normal reinforced concrete beam, reinforced steel fibre Recycled Concrete Beams are primarily determined that Depth of section primarily determine that the depth of section h of reinforced steel fibre Recycled Concrete Beams, determined according to its local environment classification vertical To the protective layer thickness as of tension reinforcement, so as to obtain the effective cross-section of the reinforced steel fibre Recycled Concrete Beams of design height H0=h-as determines the cross-sectional width of the reinforced steel fibre Recycled Concrete Beams of the design according to the ratio of width to height empirical value of beam section b。
(2), ultimate limit state determines the ratio of reinforcement ρ of the reinforced steel fibre Recycled Concrete BeamsMuValue.
(4), deflection design；According to theory of mechanics of materials and analysis of experiments, the reinforced steel fibre Recycled Concrete Beams are obtained Amount of deflection f values.
(4), cracking checking computations；To the cracking moment M of the reinforced steel fibre Recycled Concrete BeamsfrcrCarry out inspection calculation.
(5), crack width calculation；To reinforced steel fibre Recycled Concrete Beams maximum crack width wfrmCarry out inspection calculation
The ratio of reinforcement ρ of the reinforced steel fibre Recycled Concrete Beams is determined in progress ultimate limit stateMuValue, considers first Section tensile region Steel Fiber Recycled Concrete action of pulling stress, balanced according to section turn moment and obtain depth of compressive zone x values, its is specific Calculating process be：
M in formula (1)uFor moment-curvature relationship；α is the conversion factor of equivalent rectangular stress block stress value, and strength grade does not surpass When crossing C45,0.87 is taken as；β is equivalent rectangular stress block depth of compressive zone conversion factor, when strength grade is no more than C45, is taken as 0.73；ffrcFor the axial compressive strength design load of Steel Fiber Recycled Concrete；σfrtIt is equivalent for flexural member tensile region SFRCAC Tension, itself and regeneration aggregate Replacement rate δRWith content of steel fiber eigenvalue λfIt is relevant, whereinHere ρf For steel fiber volume ratio, lfFor length of steel fiber, dfFor steel fibre directly or equivalent diameter.Coagulation is regenerated according to reinforced steel fibre Native beam test result, it uses formula (2) to calculate.
σfrt=(1-0.798 δR)(1+4.791λf)ft(2) formula
F in formula (2)tFor with Steel Fiber Recycled Concrete strength grade identical normal concrete tensile strength design load.
Obtained according to the balance of section power：
When calculating the amount of deflection f values of the reinforced steel fibre Recycled Concrete Beams, the amount of deflection f solution formulas of use：
(3) in formula, S is load, supporting condition coefficient；M is working load；L is effective span；αfrcTaken for regeneration aggregate Influence coefficient for rate to Steel Fiber Recycled Concrete beam short-term stiffness；βfrcIt is steel fibre to Recycled Concrete Beams short-term stiffness Influence coefficient；αfrcAnd βfrcRespectively -0.3284 and 0.04652.B is the reinforced concrete of same cross-sectional and strength grade The short-term stiffness of quasi- beam；fbFor allowable deflection value.
In the cracking moment M to the reinforced steel fibre Recycled Concrete BeamsfrcrCarry out using following equation when inspection is calculated,
(4) in formulaWhereinHere As is the Steel Fiber Recycled Concrete beam bottom longitudinal tensile area of reinforcement and αE For reinforcing bar and the ratio of modulus of elasticity of concrete.
Reinforced steel fibre Recycled Concrete Beams maximum crack width wfrmDuring carrying out inspection calculation, using formula：
In formula (5), αcr、ψ、σs、Es、deq、ρteImplication and computational methods with《Code for design of concrete structures》(GB 50010-2010) 7.1.2 bars are identical.
Its construction of the Steel Fiber Recycled Concrete Liangqi should meet《Code for design of concrete structures》(GB 50010-2010) Requirement.
The beneficial effects of the invention are as follows：
The design structure method for the Steel Fiber Recycled Concrete that the invention provides, not only effectively overcomes regeneration concrete easy The technical problem of cracking and poor rigidity, while the structural stability can of Steel Fiber Recycled Concrete is also effectively guaranteed, and The steel fibre reproduction concrete structure designed by this method can be effectively applied to weigh or the non-structural beams weighed In, and the Steel Fiber Recycled Concrete girder construction of structural approach design also effectively meets each of girder construction design simultaneously Item performance indications, brand-new design concept is opened for the design of Steel Fiber Recycled Concrete structure.
Embodiment：
The structure design of Steel Fiber Recycled Concrete is carried out to illustrate the design with a specific structured data；
Known reinforced steel fibre regeneration concrete square-section freely-supported beam span l=3m, calculate width l0=2.7m, design Moment of flexure 50kNm.The quasi-permanent value coefficient ψ of live loadq=0.5, using C45 Steel Fiber Recycled Concretes, from cut-out arch Steel fibre, lf=35mm, nominal diameter df=0.55mm, tensile strength >=1345N/mm2.Steel Fiber Recycled Concrete mechanical property Energy index is obtained by experiment, only provides regeneration aggregate Replacement rate δ hereR=50%, steel fiber volume ratio ρf=1.5% (now,In the case of C45 Steel Fiber Recycled Concrete mechanical performance indexs：Steel Fiber Recycled Concrete Axial compressive strength standard value ffrck=46MPa, Steel Fiber Recycled Concrete axial tensile strength standard value ffrtk=5.22MPa, Steel Fiber Recycled Concrete axial compressive strength design load ffrc=32.9MPa, Steel Fiber Recycled Concrete axial tensile strength are set Evaluation ffrt=3.73MPa, Steel Fiber Recycled Concrete elastic modulus Efrc=3.38GPa；HRB400 reinforced steel bar strength design loads fy =360MPa, HRB400 reinforcing bar elastic modulus Ef=20GPa；Limit of crack opening is 0.5mm, and mid-span deflection limit value is l/200, Examination selects suitable beam section size and arrangement of reinforcement.
(1) determine that section original dimension and internal force calculate
H=300mm, b=150mm, as=25mm are taken, then h0=275mm.
Design moment M=50kNm.
(2) ultimate limit state determines ratio of reinforcement ρMu
Balanced according to section turn moment and obtain depth of compressive zone xMuValue：
Look into《Code for design of concrete structures》(GB 50010-2010) table 4.1.4-2, C45 concrete axle center tension can be obtained Strength failure criterion ft=1.8MPa, then
σfrt=(1-0.798 × 0.5) (1+4.791 × 0.945) × 1.8=5.98MPa (1)
Obtained according to the balance of section power：
Bottom tension indulges muscle and nip bearing rod chooses HRB400 level reinforcing bars, and stirrup uses HPB335 level reinforcing bars, then
Here 2 a diameter of 16mm HRB400 reinforcing bars are chosen as bottom longitudinal tensile reinforcing bar, then bottom tension reinforcement The actual ratio of reinforcement be 0.89%>0.48%, a diameter of 8mm of stirrup, its longitudinal pitch are 150mm, protective layer thickness 25mm. Consider simultaneously《Code for design of concrete structures》(GB 50010-2010) other detailing requiments, design steel fiber reinforced concrete beams.Enter Row experiment, actual measurement ultimate bearing capacity is 55.32kNm>50kN·m.
(3) deflection design
Moment M corresponding to the working load between 0.2Mu~0.7Mu is chosen, the amount of deflection of beam is checked using formula (3), is calculated Value is shown in Table 1 with measured value, it is clear that under normal use load, deflection value is respectively less than allowable deflection value l/200=2700/200= 13.5mm。
The Steel Fiber Recycled Concrete beam of table 1 calculates and actual measurement amount of deflection
M F measured values F calculated values
10.17 1.37 1.22
15.79 2.89 2.71
20.31 4.14 3.91
29.31 6.73 6.30
(4) cracking checking computations
Measured value is 8.30kNm, substantially suitable with calculated value.
(5) crack width calculation
As=25mm, δR=50%, λf=1.5%, by《Code for design of concrete structures》(GB 50010-2010) can be obtained： αcr=1.9, deq=16mm, ρte=1.79%, other main parameter calculation values are shown in Table 2, wherein σsFor steel fibre under load action Recycled Concrete Beams longitudinal tensile regular reinforcement stress, according to《Code for design of concrete structures》(GB 50010-2010)7.1.4 Bar calculates；ψ non-uniformly distributed strain coefficient of longitudinal tensile reinforcements between crack, according to《Code for design of concrete structures》(GB 50010- 2010) calculated during 7.1.2-2.Moment M corresponding to the working load between 0.2Mu~0.7Mu is chosen, beam is checked using formula (4) Fracture width w, calculated value and measured value are shown in Table 2, it is clear that calculated value coincide preferable with measured value, and is respectively less than limitation 0.5mm.
The Steel Fiber Recycled Concrete beam calculatingcrackswidth value of table 2 contrasts with measured value
M σs ψ W is surveyed W is calculated
13.5 140.36 0.45 0.03 0.04
27 280.73 0.77 0.12 0.14
31.5 327.52 0.82 0.13 0.17
40.5 421.09 0.88 0.18 0.23

Claims (6)

  1. A kind of 1. design method of Steel Fiber Recycled Concrete beam, it is characterised in that：The design of the Steel Fiber Recycled Concrete beam Method comprises the following steps：
    (1), according to the rise-span ratio empirical value of normal reinforced concrete beam, cutting for reinforced steel fibre Recycled Concrete Beams is primarily determined that Face highly primarily determines that the depth of section h of reinforced steel fibre Recycled Concrete Beams, according to its local environment classification determine longitudinal direction by The protective layer thickness as of reinforcing bar is drawn, so as to obtain the effective cross-section height h0=of the reinforced steel fibre Recycled Concrete Beams of the design H-as determines the cross-sectional width b of the reinforced steel fibre Recycled Concrete Beams of the design according to the ratio of width to height empirical value of beam section.
    (2), ultimate limit state determines the ratio of reinforcement ρ of the reinforced steel fibre Recycled Concrete BeamsMuValue.
    (4), deflection design；According to theory of mechanics of materials and analysis of experiments, scratching for the reinforced steel fibre Recycled Concrete Beams is obtained Spend f values.
    (4), cracking checking computations；To the cracking moment M of the reinforced steel fibre Recycled Concrete BeamsfrcrCarry out inspection calculation.
    (5), crack width calculation；To reinforced steel fibre Recycled Concrete Beams maximum crack width wfrmCarry out inspection calculation.
  2. A kind of 2. design method of Steel Fiber Recycled Concrete beam according to claim 1, it is characterised in that：Held Carry the ratio of reinforcement ρ that power limiting condition determines the reinforced steel fibre Recycled Concrete BeamsMuValue, section tensile region steel fibre is considered first Regeneration concrete action of pulling stress, balances according to section turn moment and obtains depth of compressive zone x values, and its specific calculating process is：
    M in formula (1)uFor moment-curvature relationship；α is the conversion factor of equivalent rectangular stress block stress value, and strength grade is no more than C45 When, it is taken as 0.87；β is equivalent rectangular stress block depth of compressive zone conversion factor, when strength grade is no more than C45, is taken as 0.73； ffrcFor the axial compressive strength design load of Steel Fiber Recycled Concrete；σfrtShould for the equivalent drawings of flexural member tensile region SFRCAC Power, remaining regeneration aggregate Replacement rate δRWith fiber characteristics volume λfIt is relevant, according to reinforced steel fibre regeneration concrete beam test knot Fruit, it uses formula (2) to calculate.
    σfrt=(1-0.798 δR)(1+4.791λf)ft(2) formula
    F in formula (2)tFor with Steel Fiber Recycled Concrete strength grade identical normal concrete tensile strength design load.
    Obtained according to the balance of section power：
  3. A kind of 3. design method of Steel Fiber Recycled Concrete beam according to claim 1, it is characterised in that：Should calculating During the amount of deflection f values of reinforced steel fibre Recycled Concrete Beams, the amount of deflection f solution formulas of use：
    (3) in formula, S is load, supporting condition coefficient；M is working load；L is effective span；αfrcFor regeneration aggregate Replacement rate To the influence coefficient of Steel Fiber Recycled Concrete beam short-term stiffness；βfrcShadow for steel fibre to Recycled Concrete Beams short-term stiffness Ring coefficient；αfrcAnd βfrcRespectively -0.3284 and 0.04652.B is the armored concrete benchmark beam of same cross-sectional and strength grade Short-term stiffness；fbFor allowable deflection value.
  4. A kind of 4. design method of Steel Fiber Recycled Concrete beam according to claim 1, it is characterised in that：It is somebody's turn to do to this The cracking moment M of reinforced steel fibre Recycled Concrete BeamsfrcrCarry out using following equation when inspection is calculated,
    (4) in formulaWhereinHere As is the Steel Fiber Recycled Concrete beam bottom longitudinal tensile area of reinforcement and αE For reinforcing bar and the ratio of modulus of elasticity of concrete..
  5. A kind of 5. design method of Steel Fiber Recycled Concrete beam according to claim 1, it is characterised in that：The concrete-steel Regeneration beams of concrete maximum crack width wfrmDuring carrying out inspection calculation, using formula：
    In formula (5), αcr、ψ、σs、Es、deq、ρteImplication with calculate with《Code for design of concrete structures》(GB 50010-2010) 7.1.2 bar is identical.
  6. 6. a kind of design method of Steel Fiber Recycled Concrete beam according to any one of claim 1 to 5, its feature exist In：Its construction of the Steel Fiber Recycled Concrete Liangqi should meet《Code for design of concrete structures》(GB 50010-2010's) will Ask.
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Cited By (7)

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CN109632219A (en) * 2018-12-26 2019-04-16 启迪设计集团股份有限公司 The test method of armored concrete beam deflection
CN109781501A (en) * 2019-03-12 2019-05-21 西南交通大学 A kind of calculation method of reinforcing bar-steel fiber reinforced concrete shield duct piece fracture width
CN109914691A (en) * 2019-02-25 2019-06-21 河海大学 Bamboo-steel fiber reinforced concrete combination beam
CN111220467A (en) * 2020-03-11 2020-06-02 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
CN111797449A (en) * 2020-05-28 2020-10-20 广西交科集团有限公司 Method for judging reasonable height of layered pouring concrete beam
CN112069578A (en) * 2020-09-01 2020-12-11 武汉工程大学 Method and device for processing cracking bending moment data of recycled concrete beam and storage medium
CN116383594A (en) * 2023-04-06 2023-07-04 安徽吾兴新材料有限公司 Method for calculating maximum crack width of high-strength reinforced concrete flexural member

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Cited By (12)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109632219A (en) * 2018-12-26 2019-04-16 启迪设计集团股份有限公司 The test method of armored concrete beam deflection
CN109914691A (en) * 2019-02-25 2019-06-21 河海大学 Bamboo-steel fiber reinforced concrete combination beam
CN109781501A (en) * 2019-03-12 2019-05-21 西南交通大学 A kind of calculation method of reinforcing bar-steel fiber reinforced concrete shield duct piece fracture width
CN109781501B (en) * 2019-03-12 2020-04-07 西南交通大学 Method for calculating crack width of steel bar-steel fiber concrete shield segment
CN111220467A (en) * 2020-03-11 2020-06-02 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
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
CN111797449A (en) * 2020-05-28 2020-10-20 广西交科集团有限公司 Method for judging reasonable height of layered pouring concrete beam
CN111797449B (en) * 2020-05-28 2021-11-02 广西交科集团有限公司 Method for judging reasonable height of layered pouring concrete beam
CN112069578A (en) * 2020-09-01 2020-12-11 武汉工程大学 Method and device for processing cracking bending moment data of recycled concrete beam and storage medium
CN112069578B (en) * 2020-09-01 2023-12-26 武汉工程大学 Method and device for processing cracking bending moment data of regenerated concrete beam and storage medium
CN116383594A (en) * 2023-04-06 2023-07-04 安徽吾兴新材料有限公司 Method for calculating maximum crack width of high-strength reinforced concrete flexural member
CN116383594B (en) * 2023-04-06 2023-09-01 安徽吾兴新材料有限公司 Method for calculating maximum crack width of high-strength reinforced concrete flexural member

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