CN116561855A - Orthogonal glued wood flexural member bearing capacity calculation method based on rolling shear effect - Google Patents
Orthogonal glued wood flexural member bearing capacity calculation method based on rolling shear effect Download PDFInfo
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- 239000002023 wood Substances 0.000 title claims abstract description 60
- 238000005096 rolling process Methods 0.000 title claims abstract description 27
- 230000000694 effects Effects 0.000 title claims abstract description 13
- 238000004364 calculation method Methods 0.000 title claims abstract description 10
- 238000000034 method Methods 0.000 claims abstract description 15
- 238000009826 distribution Methods 0.000 claims abstract description 11
- 239000000463 material Substances 0.000 claims abstract description 6
- 238000010008 shearing Methods 0.000 claims description 17
- 238000005452 bending Methods 0.000 claims description 13
- 239000002131 composite material Substances 0.000 claims description 3
- 230000009286 beneficial effect Effects 0.000 abstract description 3
- 239000013589 supplement Substances 0.000 abstract description 2
- 239000004566 building material Substances 0.000 description 3
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Abstract
The invention provides a method for calculating the bearing capacity of an orthogonal laminated wood flexural member based on a rolling shear effect, which comprises the following steps: determining geometric parameters and material properties of the orthogonal laminated wood members; determining a calculation parameter alpha, beta; establishing a control equation characterized by rolling shear stress distribution; solving a control equation to obtain rolling shear stress distribution tau (x); introducing boundary conditions; the component bearing capacity is determined. The invention establishes a low-order simplified calculation model, obtains an analytical solution of the bearing capacity of the orthogonal laminated wood flexural member, and effectively solves the problem that a high-order differential equation can only solve a numerical solution in a conventional solving method. The method can be used as the supplement of the current standard regulations for designing the domestic and foreign wood structures, realizes the replacement of the design checking formula of the orthogonal glued wood flexural member in the standard, and is beneficial to the application and popularization of the orthogonal glued wood heavy wood structure.
Description
Technical Field
The invention relates to a method for calculating bearing capacity of an orthogonal laminated wood flexural member, and belongs to the technical field of civil engineering.
Background
The novel wood structure building meets the requirements of green energy conservation and low carbon, and has quicker application development in recent years. The novel wood structure is used as a natural assembled building structure, glued wood is used as a main structural material, structural members are connected into a stable structural system through metal connecting pieces, the members are lighter than the traditional building structure, the strength meets the building requirement, the earthquake resistance is superior, and more public buildings, civil buildings, large-span structures, bridges and the like are selected as the basic structural material.
The orthogonal laminated wood (CLT) is used as one of novel wood structure building materials, has good shearing property because the wood structure building materials are formed by sequentially arranging and gluing the smooth single boards and the transverse single boards, and is often applied to heavy wood structure shear walls and floors. It is the arrangement of the cross grain laminate that is different from other wood structure building materials, making the rolling shear effect a characteristic property of the orthogonal glued wood flexural member. The load carrying capacity of the orthogonal laminated wood flexural member cannot be accurately calculated using conventional calculation methods. At present, the formulas of the orthogonal glued wood bending members and the pressing bending members, which are given in the design specifications of various wood structures at home and abroad, are carrying capacity checking formulas, and the problem of limit state analysis of the orthogonal glued wood bending members based on the rolling shearing effect is not solved.
Disclosure of Invention
Technical problems:
the invention provides a method for calculating the bearing capacity of a bending member of orthogonal laminated wood based on a rolling shear effect.
The technical scheme is as follows:
the invention relates to a method for calculating the bearing capacity of an orthogonal laminated wood flexural member based on a rolling shear effect, which comprises the following steps:
(1) Determining the basic size of a component, wherein the basic size comprises the thickness h of a smooth single plate, the thickness t of a transverse single plate and the cross-sectional area A of the smooth single plate; determining material properties of a component, including the following elastic modulus E 0 Shear modulus of transverse grain G r The cross section moment of inertia I of the smooth veneer;
(2) According to the balance condition and the geometric condition of the infinitesimal at the x, determining the calculation parameters alpha and beta as shown in the formula (1) and the formula (2):
(3) Establishing a control equation of rolling shear stress distribution, and regarding the transverse grain single plate as a shearing rigidity G between two adjacent parallel grain single plates r When the component is bent, the parallel-grain single plate is an effective bearing unit, the transverse-grain single plate is used as a connecting unit between adjacent parallel-grain single plates to provide main shear rigidity, and the integral deformation delta of the component is obtained according to the balance condition and the geometric condition of the component τ Is that
(δ N2 -δ N1 )+(δ M1 +δ M2 )＝δ τ (3)；
Wherein delta Ν1 Representing the axial force N applied by the first layer of the smooth single board 1 Deformation caused; delta Ν2 Representing the axial force N applied by the second layer of the smooth single board 2 Deformation caused; delta M1 Representing the bending moment M suffered by the first layer of the smooth single board 1 Deformation caused; delta M2 Representing the bending moment M suffered by the second layer of the smooth single board 2 Deformation caused;
according to classical basic beam theory, obtain
dy 1 Deforming the first layer of the smooth single board in the y direction; dy 2 Deforming the second layer of the smooth single board in the y direction;
and the deformation of two adjacent smooth single plates caused by shearing force is
τ is the rolling shear stress;
according to the relation between the infinitesimal deformation and the bending moment in classical elastic mechanicsSubstituting the formula (4) and the formula (5) into the formula (3) to derive a control equation of rolling shear stress as
I.e.
V is shearing force;
(4) Solving the control equation to obtain rolling shear stress distribution tau (x)
τ 0 Is a shear strain distribution value caused by the infinitesimal shear force;
(5) Introducing boundary conditions, i.e. due to symmetry of shear strain, the shear stress in the component span is 0, τ=0, and according to the shear failure mode, τ 0 ＝-τ f The shearing force of the single board with the following grain is
i represents the number of the i-th layer smooth veneer;
(6) Determining the bearing capacity of the member, i.e. the bearing capacity of the orthogonal glued wood flexural member is the sum of the shearing forces of all the smooth veneers
V＝∑V i (10)。
Further, the orthogonal glued wood is a multi-layer composite wood-based board with odd layers, and the orthogonal glued wood with different layers has different rigidities; which is a kind ofParameters of middle-three-layer orthogonal laminated wood flexural memberFive-layer orthogonal laminated wood flexural member parameter->
Further, in the step (5), the bearing capacity of the 3-layer orthogonal laminated wood flexural member5-layer orthogonal laminated wood flexural member bearing capacity->b is the width of the flexural member.
The beneficial effects are that:
the invention can be used as the supplement of the current standard regulations for designing the domestic and foreign wood structures, realizes the replacement of the design checking formula of the orthogonal glued wood flexural member in the standard, and is beneficial to the application and popularization of the orthogonal glued wood heavy wood structure.
Drawings
FIG. 1 is a flow chart of a method for calculating the bearing capacity of an orthogonal laminated wood flexural member based on the rolling shear effect;
FIG. 2 is a schematic diagram of a computational model;
FIG. 3 is a diagram of a trace stress analysis.
Detailed Description
The technical scheme of the invention is further described below with reference to the detailed description and the accompanying drawings.
As shown in fig. 1, the invention relates to a method for calculating the bearing capacity of an orthogonal laminated wood flexural member based on a rolling shear effect, which comprises the following steps:
the method for calculating the bearing capacity of the orthogonal laminated wood flexural member based on the rolling shear effect is characterized by comprising the following steps of:
(1) Determining the basic size of a component, wherein the basic size comprises the thickness h of a smooth single plate, the thickness t of a transverse single plate and the cross-sectional area A of the smooth single plate; determination structureThe material properties of the parts, including the modulus of elasticity E 0 Shear modulus of transverse grain G r The cross section moment of inertia I of the smooth veneer;
(2) According to the balance condition and the geometric condition of the infinitesimal at the x, determining the calculation parameters alpha and beta as shown in the formula (1) and the formula (2):
(3) Establishing a control equation of rolling shear stress distribution, and regarding the transverse grain single plate as a shearing rigidity G between two adjacent parallel grain single plates r When the component is bent, the parallel-grain single plate is an effective bearing unit, the transverse-grain single plate is used as a connecting unit between adjacent parallel-grain single plates to provide main shear rigidity, and the integral deformation delta of the component is obtained according to the balance condition and the geometric condition of the component τ For (delta) N2 -δ N1 )+(δ M1 +δ M2 )＝δ τ (3)；
Wherein delta Ν1 Representing the axial force N applied by the first layer of the smooth single board 1 Deformation caused; delta Ν2 Representing the axial force N applied by the second layer of the smooth single board 2 Deformation caused; delta M1 Representing the bending moment M suffered by the first layer of the smooth single board 1 Deformation caused; delta M2 Representing the bending moment M suffered by the second layer of the smooth single board 2 Deformation caused;
according to classical basic beam theory, obtain
dy 1 Deforming the first layer of the smooth single board in the y direction; dy 2 Deforming the second layer of the smooth single board in the y direction;
and the deformation of two adjacent smooth single plates caused by shearing force is
τ is the rolling shear stress;
according to the relation between the infinitesimal deformation and the bending moment in classical elastic mechanicsSubstituting the formula (4) and the formula (5) into the formula (3) to derive a control equation of rolling shear stress as
I.e.
V is shearing force;
(4) Solving the control equation to obtain rolling shear stress distribution tau (x)
τ 0 Is a shear strain distribution value caused by the infinitesimal shear force;
(5) Introducing boundary conditions, i.e. due to symmetry of shear strain, the shear stress in the component span is 0, τ=0, and according to the shear failure mode, τ 0 ＝-τ f The shearing force of the single board with the following grain is
i represents the number of the i-th layer smooth veneer;
(6) Determining the bearing capacity of the member, i.e. the bearing capacity of the orthogonal glued wood flexural member is the sum of the shearing forces of all the smooth veneers
V＝∑V i (10)。
Further, the orthogonal glued wood is a multi-layer composite wood-based board with odd layers, and the orthogonal glued wood with different layers has different rigidities; wherein three layers of orthogonal laminated wood flexural member parametersFive-layer orthogonal laminated wood flexural member parameter->
Typical orthographic laminated wood flexural members are 3 and 5 plies, the stiffness of which is represented by the parameter α.
When 5 plies are used, the parameter α is preferablyA more accurate calculation result can be obtained. It will be appreciated that +.A. can be used for five-layer ortholog or any other odd-layer ortholog>And (5) performing calculation.
Further, in the step (5), the bearing capacity of the 3-layer orthogonal laminated wood flexural member5-layer orthogonal laminated wood flexural member bearing capacity->b is the width of the flexural member.
The above description is only of the preferred embodiments of the present invention, but the scope of the present invention is not limited to the above-mentioned method, and any changes or substitutions easily contemplated by those skilled in the art within the technical scope of the present invention should be covered by the scope of the present invention. Therefore, the protection scope of the present invention should be subject to the protection scope of the claims.
Claims (3)
1. The method for calculating the bearing capacity of the orthogonal laminated wood flexural member based on the rolling shear effect is characterized by comprising the following steps of:
(1) Determining the basic size of a component, wherein the basic size comprises the thickness h of a smooth single plate, the thickness t of a transverse single plate and the cross-sectional area A of the smooth single plate; determining material properties of a component, including the following elastic modulus E 0 Shear modulus of transverse grain G r The cross section moment of inertia I of the smooth veneer;
(2) According to the balance condition and the geometric condition of the infinitesimal at the x, determining the calculation parameters alpha and beta as shown in the formula (1) and the formula (2):
(3) Establishing a control equation of rolling shear stress distribution, and regarding the transverse grain single plate as a shearing rigidity G between two adjacent parallel grain single plates r When the component is bent, the parallel-grain single plate is an effective bearing unit, the transverse-grain single plate is used as a connecting unit between adjacent parallel-grain single plates to provide main shear rigidity, and the integral deformation delta of the component is obtained according to the balance condition and the geometric condition of the component τ For (delta) N2 -δ N1 )+(δ M1 +δ M2 )＝δ τ (3)；
Wherein delta Ν1 Representing the axial force N applied by the first layer of the smooth single board 1 Deformation caused; delta Ν2 Representing the axial force N applied by the second layer of the smooth single board 2 Deformation caused; delta M1 Representing the bending moment M suffered by the first layer of the smooth single board 1 Deformation caused; delta M2 Representing the bending moment M suffered by the second layer of the smooth single board 2 Deformation caused;
according to classical basic beam theory, obtain
dy 1 Deforming the first layer of the smooth single board in the y direction; dy 2 Deforming the second layer of the smooth single board in the y direction;
and the deformation of two adjacent smooth single plates caused by shearing force is
τ is the rolling shear stress;
according to the relation between the infinitesimal deformation and the bending moment in classical elastic mechanicsSubstituting the formula (4) and the formula (5) into the formula (3) to derive a control equation of rolling shear stress as
I.e.
V is shearing force;
(4) Solving the control equation to obtain rolling shear stress distribution tau (x)
τ 0 Is a shear strain distribution value caused by the infinitesimal shear force;
(5) Introducing boundary conditions, i.e. due to symmetry of shear strain, the shear stress in the component span is 0, τ=0, and according to the shear failure mode, τ 0 ＝-τ f The shearing force of the single board with the following grain is
i represents the number of the i-th layer smooth veneer;
(6) Determining the bearing capacity of the member, i.e. the bearing capacity of the orthogonal glued wood flexural member is the sum of the shearing forces of all the smooth veneers
V＝∑V i (10)。
2. The method for calculating the bearing capacity of the orthogonal laminated wood flexural member based on the rolling shear effect according to claim 1, wherein the method comprises the following steps of: the orthogonal glued wood is a multi-layer composite wood-based board with odd layers, and the orthogonal glued wood with different layers has different rigidities; wherein three layers of orthogonal laminated wood flexural member parametersFive-layer orthogonal laminated wood flexural member parameter->
3. The method for calculating the bearing capacity of the orthogonal laminated wood flexural member based on the rolling shear effect according to claim 1, wherein the method comprises the following steps of: in the step (5), the bearing capacity of the flexural member of the 3-layer orthogonal laminated wood5-layer orthogonal laminated wood flexural member bearing capacity->b is the width of the flexural member.
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202310484685.0A CN116561855A (en) | 2023-04-28 | 2023-04-28 | Orthogonal glued wood flexural member bearing capacity calculation method based on rolling shear effect |
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| CN202310484685.0A CN116561855A (en) | 2023-04-28 | 2023-04-28 | Orthogonal glued wood flexural member bearing capacity calculation method based on rolling shear effect |
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