CN112800555A - Method for calculating stable bearing capacity of T-shaped ring beam of steel silo - Google Patents
Method for calculating stable bearing capacity of T-shaped ring beam of steel silo Download PDFInfo
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Abstract
The invention discloses a method for calculating the stable bearing capacity of a T-shaped ring beam of a steel silo, wherein the stable bearing capacity sigma of the T-shaped ring beamcr=k1σ1+k2σ2In the formula, k1Is the distribution coefficient k of the inner edge of the T-shaped ring beam under the pure simple support constraint2Distribution coefficient k of the inner edge of the T-shaped ring beam under pure fixed constraint1+k21, and 0.2 ≦ k1<1,0<k2≤0.8,σ1Is the bending stress of the inner edge of the T-shaped ring beam when in pure simple support constraint, sigma2The buckling stress of the inner edge of the T-shaped ring beam when the inner edge of the T-shaped ring beam is in pure fixed constraint. The invention considers the inner edge of the structural unit pair ring beam adjacent to the T-shaped ring beamThe semi-rigid constraint of the method designs a calculation formula of the stable bearing capacity of the T-shaped ring beam under the semi-rigid constraint, and specifies the values of the effective lengths of the bin wall, the bin skirt wall and the funnel wall which work together with the T-shaped ring beam, so that the purposes of economic and reasonable calculation results and high reliability can be achieved.
Description
Technical Field
The invention belongs to the technical field of special structures, and particularly relates to a method for calculating the stable bearing capacity of a T-shaped ring beam of a steel silo.
Background
A steel silo is an upright steel container for storing bulk material, and as shown in fig. 1, the structure generally comprises a silo roof 1, a silo wall 2, a silo skirt 3, a hopper 4, an upright post 5 and a T-shaped ring beam 6, wherein the T-shaped ring beam 6 is arranged at the intersection of the silo wall 2 and the hopper 4 and is used for resisting the larger annular pressure from the radial component of the bottom tension of the hopper 4. However, the T-shaped ring beam is prone to out-of-plane buckling failure under the action of the hoop pressure, and therefore the stable bearing capacity of the T-shaped ring beam needs to be designed.
Under the action of horizontal load, the stability of the ring beam is calculated according to the formula 5.4.4 in technical Specification for Steel Silo (GB 50884-2013), namelyThe formula of the current specification is established on the basis of circular arc arch analysis, and the constraint of structural units (comprising a bin wall, a bin skirt wall and a funnel wall) adjacent to the ring beam on the inner edge of the ring beam is not considered in the calculation method. In practice, however, the stable bearing capacity of the ring beam is related to the constraint of the structural units adjacent to the ring beam to the inner edge of the ring beam, as shown in fig. 2, which is neither a pure simple support nor a pure fixed one, but rather a semi-rigid constraint between simple support and fixed one. Therefore, the stable bearing capacity of the ring beam calculated by the current specification has the defects of inconsistency with the actual bearing capacity and low reliability. In addition, the ring beam comprises a ring plate ring beam and a T-shaped ring beam, and the stable bearing capacity of the ring beam with different structures is not calculated according to the existing specification.
Disclosure of Invention
Aiming at the prior art that the stable bearing capacity of the T-shaped ring beam of the steel silo is not calculated at present, the invention provides a method for calculating the stable bearing capacity of the T-shaped ring beam of the steel silo, which considers the semi-rigid constraint of a structural unit adjacent to the T-shaped ring beam on the inner edge of the ring beam, designs a calculation formula of the stable bearing capacity of the T-shaped ring beam under the semi-rigid constraint, specifies the values of the effective lengths of the silo wall, the silo skirt wall and the funnel wall which work together with the T-shaped ring beam, and can achieve the purposes of economic and reasonable calculation result and high reliability.
The technical scheme adopted by the invention for solving the technical problems is as follows:
method for calculating stable bearing capacity of T-shaped ring beam of steel silocr=k1σ1+k2σ2In the formula, k1Is the distribution coefficient k of the inner edge of the T-shaped ring beam under the pure simple support constraint2Is the distribution coefficient k of the inner edge of the T-shaped ring beam under pure fixed constraint1+k21, and 0.2 ≦ k1<1,0<k2≤0.8,σ1Is the bending stress of the inner edge of the T-shaped ring beam when in pure simple support constraint, sigma2The buckling stress of the inner edge of the T-shaped ring beam when the inner edge of the T-shaped ring beam is in pure fixed constraint.
According to the technical scheme, the buckling stress of the inner edge of the T-shaped ring beam is under pure simple support constraint
In the formula (I), the compound is shown in the specification,e is the elastic modulus of the steel, G is the shear modulus of the steel, r is the radius of the bin wall, tpWeb thickness of T-shaped ring beam, bpIs the web width of the T-shaped ring beam, TfIs the flange thickness of the T-shaped ring beam, bfIs the flange width, x, of the T-shaped ring beamcIs the distance between the centroid of the T-shaped ring beam and the inner wall of the cabin skirt, IxIs effective radial section moment of inertia, I, of the T-shaped ring beamyIs the effective axial section inertia moment of the T-shaped ring beam, J is the effective section torsion constant of the T-shaped ring beam, ArIs the effective cross-sectional area of the T-shaped ring beam.
According to the technical scheme, the distribution coefficient of the inner edge of the T-shaped ring beam is in pure simple support constraint
In the formula (I), the compound is shown in the specification,tcis the wall thickness of the silo, tsIs the thickness of the skirt wall of the silo, thIs the thickness of the funnel wall, tpWeb thickness of T-shaped ring beam, bpThe web width of the T-shaped ring beam.
According to the technical scheme, the effective length of the bin wall working together with the T-shaped ring beam is min {0.5(rctc)0.5, 15Tc(235/fy)0.5In the formula, rcIs the equivalent radius of curvature of the wall of the silo, tcIs the thickness of the wall of the silo, fyThe yield strength of the steel.
According to the technical scheme, the effective length of the cabin skirt wall working together with the T-shaped ring beam is min {0.5 (r)sts)0.5,15ts(235/fy)0.5In the formula, rsIs the equivalent radius of curvature of the wall of the silo skirt, tsIs the thickness of the skirt wall of the silo, fyThe yield strength of the steel.
According to the technical scheme, the effective length of the funnel wall working together with the T-shaped ring beam is min {0.5 (r) }hth)0.5,15th(235/fy)0.5In the formula, rhIs the equivalent radius of curvature of the funnel wall, thIs the thickness of the funnel wall, fyThe yield strength of the steel.
The invention has the following beneficial effects: the invention considers that the stable bearing capacity of the T-shaped ring beam of the steel silo is related to the constraint of the structural units (comprising the silo wall, the silo skirt wall and the funnel wall, the same below) adjacent to the T-shaped ring beam on the inner edge of the T-shaped ring beam, and the constraint is semi-rigid constraint between simple support and fixation, so the invention reasonably designs the distribution coefficient k of the buckling stress of the inner edge of the T-shaped ring beam in the two constraint states1、k2When the distribution coefficient is designed, considering that the thickness of the T-shaped ring beam is not less than that of the structural unit adjacent to the ring beam, when the thickness of the T-shaped ring beam is equal to that of the structural unit adjacent to the ring beam, the constraint effect of the structural unit adjacent to the T-shaped ring beam on the inner edge of the T-shaped ring beam is most obvious, and the distribution coefficient k is specified when the inner edge of the ring beam is simply supported at the moment1When the minimum value is 0.2 and the inner edge of the ring beam is fixed, the distribution coefficient k is2The maximum value of 0.8 is reached, so the values of the two distribution coefficients are designed as follows: k is a radical of1+k21, and 0.2 ≦ k1<1,0<k2Less than or equal to 0.8, so that the stable bearing capacity of the T-shaped ring beam can be designed reasonably and accurately, and the reliability of the steel silo is improved.
Drawings
The invention will be further described with reference to the accompanying drawings and examples, in which:
figure 1 is a schematic structural view of a typical steel silo provided with a T-shaped ring beam;
figure 2 is a schematic view of an effective cross section of a steel silo T-ring beam.
In the figure: 1-bin top, 2-bin wall, 3-bin skirt, 4-funnel, 5-upright post and 6-T-shaped ring beam.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are some, but not all, embodiments of the present invention. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention. All other embodiments, which can be obtained by a person skilled in the art without any inventive step based on the embodiments of the present invention, are within the scope of the present invention.
Method for calculating stable bearing capacity of T-shaped ring beam of steel silo, and stable bearing capacity sigma of T-shaped ring beamcr=k1σ1+k2σ2In the formula, k1Is the distribution coefficient k of the inner edge of the T-shaped ring beam under the pure simple support constraint2Is the distribution coefficient k of the inner edge of the T-shaped ring beam under pure fixed constraint1+k21, and 0.2 ≦ k1<1,0<k2≤0.8,σ1Is the bending stress of the inner edge of the T-shaped ring beam when in pure simple support constraint, sigma2The buckling stress of the inner edge of the T-shaped ring beam when the inner edge of the T-shaped ring beam is in pure fixed constraint.
In a preferred embodiment of the invention, the invention also provides sigma1、σ2The calculation formula (2) of (a), specifically,
In the formula (I), the compound is shown in the specification,e is the elastic modulus of the steel, G is the shear modulus of the steel, r is the radius of the bin wall, tpWeb thickness of T-shaped ring beam, bpIs the web width of the T-shaped ring beam, TfIs the flange thickness of the T-shaped ring beam, bfIs the flange width, x, of the T-shaped ring beamcIs the distance between the centroid of the T-shaped ring beam and the inner wall of the cabin skirt, IxIs effective radial section moment of inertia, I, of the T-shaped ring beamyIs a T-shaped ring beam along the axial directionEffective section moment of inertia, J is T-shaped ring beam effective section torsional constant, ArThe effective cross-sectional area of the T-shaped ring beam is shown in fig. 2. The sigma which is economic, reasonable and high in reliability can be calculated by the calculation formula provided by the invention1、σ2And the reliability of the expression of the stable bearing capacity of the T-shaped ring beam is further ensured.
In a preferred embodiment of the invention, the invention also provides k1、k2The calculation formula (2) of (a), specifically,
In the formula (I), the compound is shown in the specification,tcis the wall thickness of the silo, tsIs the thickness of the skirt wall of the silo, thIs the thickness of the funnel wall, tpWeb thickness of T-shaped ring beam, bpThe web width of the T-shaped ring beam. The k with economy, reasonability and high reliability can be calculated by the calculation formula provided by the invention1、k2And the reliability of the expression of the stable bearing capacity of the T-shaped ring beam is further ensured.
Considering that how to set the values of the effective lengths of the bin wall, the bin skirt wall and the funnel wall which work together with the T-shaped ring beam in the prior art is not specified, in the preferred embodiment of the invention, the invention also provides the values of the effective lengths of the bin wall, the bin skirt wall and the funnel wall which work together with the T-shaped ring beam, so that the purposes of economic and reasonable calculation results and high reliability can be achieved, and the specific values are as follows:
the effective length of the bin wall working together with the T-shaped ring beam is min {0.5 (r) }ctc)0.5,15tc(235/fy)0.5},
The effective length of the cabin skirt wall working together with the T-shaped ring beam is min {0.5 (r) }sts)0.5,15ts(235/fy)0.5The effective length of the funnel wall working together with the T-shaped ring beam is min {0.5 (r) }hth)0.5,15th(256/fy)0.5In the formula, rc、rs、rhRespectively the equivalent curvature radius of the bin wall, the bin skirt wall and the funnel wall, fyThe yield strength of the steel.
Application examples of the present invention are described in detail below.
The calculation method provided by the invention is used for carrying out example analysis on the T-shaped ring beam of the steel silo of a certain flue gas desulfurization project.
The basic parameters of the steel silo are as follows: r is 3000mm, tc=12mm,ts=12mm,th=10mm,tp=14mm,bp=400mm,tf=14mm,bf=200mm,E=206000MPa,G=79231MPa,fy=235MPa,Ar=11607mm2,xc=203mm,Ix=18081504mm4,Iy=341917800mm4,J=689108mm4,
The method for calculating the stable bearing capacity of the T-shaped ring beam of the steel silo comprises the following steps:
step 1: buckling stress sigma when inner edge of T-shaped ring beam is in pure simple support constraint1Bending stress sigma when the inner edge of the T-shaped ring beam is in pure fixed constraint2,
Step 2: considering the influence of boundary conditions, calculating the distribution coefficient k when the inner edge of the T-shaped ring beam is under pure simple support constraint1Distribution coefficient k when inner edge of T-shaped ring beam is in pure fixed constraint2,
And step 3: calculating the stable bearing capacity sigma of the T-shaped ring beamcr,
σcr=k1σ1+k2σ2=888MPa。
For the above embodiment, according to GB 50884-2013 formula 5.4.4, the ring beam critical stress is calculated to be 157MPa, which is much smaller than the calculation result of the present invention. It can be seen that the existing normative calculation method is too conservative, which results in increased cost and is uneconomical.
According to the invention, semi-rigid constraint of a structural unit adjacent to the T-shaped ring beam on the inner edge of the ring beam is considered, a calculation formula for stable bearing capacity of the T-shaped ring beam under the semi-rigid constraint is provided, and values of the effective length of the bin wall, the effective length of the bin skirt wall and the effective length of the funnel wall which work together with the T-shaped ring beam are specified, so that the purposes of economic and reasonable calculation result and high reliability can be achieved.
It will be understood that modifications and variations can be made by persons skilled in the art in light of the above teachings and all such modifications and variations are intended to be included within the scope of the invention as defined in the appended claims.
Claims (6)
1. A calculation method for stable bearing capacity of a T-shaped ring beam of a steel silo is characterized in that the stable bearing capacity sigma of the T-shaped ring beamcr=k1σ1+k2σ2,
In the formula, k1Is the distribution coefficient k of the inner edge of the T-shaped ring beam under the pure simple support constraint2Is the distribution coefficient k of the inner edge of the T-shaped ring beam under pure fixed constraint1+k21, and 0.2 ≦ k1<1,0<k2≤0.8,σ1Is the bending stress of the inner edge of the T-shaped ring beam when in pure simple support constraint, sigma2The buckling stress of the inner edge of the T-shaped ring beam when the inner edge of the T-shaped ring beam is in pure fixed constraint.
2. The method for calculating the stable bearing capacity of the steel silo T-shaped ring beam as claimed in claim 1,
In the formula (I), the compound is shown in the specification,e is the elastic modulus of the steel, G is the shear modulus of the steel, r is the radius of the bin wall, tpWeb thickness of T-shaped ring beam, bpIs the web width of the T-shaped ring beam, TfIs the flange thickness of the T-shaped ring beam, bfIs the flange width, x, of the T-shaped ring beamcIs the distance between the centroid of the T-shaped ring beam and the inner wall of the cabin skirt, IxIs effective radial section moment of inertia, I, of the T-shaped ring beamyIs the effective axial section inertia moment of the T-shaped ring beam, J is the effective section torsion constant of the T-shaped ring beam, ArIs the effective cross-sectional area of the T-shaped ring beam.
3. The method for calculating the stable bearing capacity of the steel silo T-shaped ring beam as claimed in claim 1 or 2,
the inner edge of the T-shaped ring beam is in pure simple support constraintDistribution coefficient of time
4. The method for calculating the stable bearing capacity of the T-shaped ring beam of the steel silo as claimed in claim 1, wherein the effective length of the silo wall working together with the T-shaped ring beam is min {0.5 (r) }ctc)0.5,15tc(235/fy)0.5In the formula, rcIs the equivalent radius of curvature of the wall of the silo, tcIs the thickness of the wall of the silo, fyThe yield strength of the steel.
5. The method for calculating the stable bearing capacity of the steel silo T-shaped ring beam as claimed in claim 1, wherein the effective length of the silo skirt wall working together with the T-shaped ring beam is min {0.5 (r) {0.5 }sts)0.5,15ts(235/fy)0.5In the formula, rsIs the equivalent radius of curvature of the wall of the silo skirt, tsIs the thickness of the skirt wall of the silo, fyThe yield strength of the steel.
6. The method for calculating the stable bearing capacity of the T-shaped ring beam of the steel silo as claimed in claim 1, wherein the effective length of the funnel wall working together with the T-shaped ring beam is min {0.5 (r) }hth)0.5,15th(235/fy)0.5In the formula, rhIs the equivalent radius of curvature of the funnel wall, thIs the thickness of the funnel wall, fyThe yield strength of the steel.
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CN113255048A (en) * | 2021-06-25 | 2021-08-13 | 清华大学 | Composite steel composite beam and method for acquiring bearing capacity thereof |
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