Method for determining lateral bearing capacity of steel plate shear wall reinforced on single side by channel steel

Abstract

The invention belongs to the field of civil engineering, and relates to a method for determining lateral bearing capacity of a steel plate shear wall reinforced on one side by channel steel. Comprising the following steps that the number of connecting bolts of channel steel and a steel plate shear wall is determined according to the bolt spacing construction requirement, and the shear bearing capacity reduction coefficient of the bolts, the rigidity ratio of the channel steel to the steel plate shear wall, the buckling critical stress after reinforcement, the tensile stress of stiffening ribs and the sectional area are calculated; and finally determining the lateral bearing capacity of the reinforced channel steel of the steel plate shear wall. The channel steel single-face reinforced steel plate shear wall is simple in structure, clear in force transmission path, capable of effectively improving the lateral bearing capacity of the steel plate shear wall, suitable for building reinforcement and transformation and good in economical efficiency and practicability.

Description

Technical Field

[0001] The invention belongs to the field of civil engineering and relates to a method for determining the lateral bearing capacity of a steel plate shear wall reinforced on one side by a channel steel. Background Art

[0002] Earthquake disasters are difficult to predict and earthquake effects are complex. Currently, the main way to resist and reduce earthquake effects is to select building materials and lateral force resisting structural systems with excellent seismic performance. Steel plate shear walls have become widely used lateral force resisting components in modern high-rise buildings and complex structural systems due to their excellent lateral stiffness and shear resistance. However, with the complexity of actual engineering needs and the continuous improvement of structural performance requirements, the local instability of steel plate shear walls and the efficiency of using the bearing capacity of components have gradually emerged.

[0003] In order to meet the corresponding economic requirements and solve the shortcomings of steel plate shear walls, stiffening ribs are usually used to improve their performance. In the prior art, it is common to improve the lateral bearing capacity of steel plate shear walls by double-sided reinforcement. Although this method can significantly improve the overall lateral resistance performance, there are problems such as large steel consumption, complex reinforcement process and high construction cost during construction. In addition, the double-sided reinforcement method may lead to the encroachment of existing structural space and cannot meet the special requirements of certain narrow spaces or building functions.

[0004] Channel steel has a wide range of application potential in the field of structural reinforcement due to its good cross-sectional characteristics and easy connection advantages; however, there are few existing methods for single-sided reinforcement of steel plate shear walls with channel steel, and the quantitative analysis and design methods for its lateral bearing capacity are still imperfect; the single-sided reinforcement scheme of channel steel can not only save construction materials, but also effectively reduce the difficulty of reinforcement construction, and is particularly suitable for structural renovation projects with limited space. Summary of the invention

[0005] The purpose of the present invention is to provide a method for determining the lateral bearing capacity of a steel plate shear wall reinforced on one side by a channel steel, so as to solve the existing technical problems.

[0006] The method for determining the lateral bearing capacity of a channel steel single-sided reinforced steel plate shear wall comprises the following steps:

[0007] Step 1: Determine the number of bolts n connecting the channel steel and the steel plate shear wall according to the bolt spacing construction requirements b ;

[0008] Step 2: Calculate the reduction factor of the bolt shear capacity according to formula (1);

[0009] ψ b =0.8+0.09ln(n b ) (1)

[0010] Where: nb is the number of bolts on the channel steel stiffener; ψ b is the reduction factor of the bolt shear capacity;

[0011] Step 3: Calculate the stiffness ratio of the channel steel and the steel plate shear wall according to formulas (2) and (3);

[0012]

[0013]

[0014] Where: E is the elastic modulus of the stiffening rib; b is the width of the stiffening channel flange; t s b is the thickness of the stiffening channel steel; s is the web width of the stiffening channel steel; D is the column stiffness of the inner filler plate; h is the height of the steel plate shear wall; l is the length of the steel plate shear wall; t w is the thickness of the steel plate shear wall; α s is the angle between the inclined channel steel stiffener and the vertical direction; υ is the Poisson's ratio; η is the rib bending stiffness ratio;

[0015] Step 4: Calculate the critical buckling stress of the steel plate shear wall channel after reinforcement according to formulas (4), (5) and (6);

[0016]

[0017]

[0018]

[0019] Where: k is the elastic shear buckling coefficient considering the influence of rib stiffness ratio; f vy is the shear yield strength of steel; is the shear stability coefficient of bolted stiffened steel plate shear wall; τ crp Critical stress of elastic shear buckling of steel plates in bolted stiffened steel plate shear walls;

[0020] Step 5: Calculate the tensile stress of the stiffener according to formula (7);

[0021]

[0022] Where: τ y is the design value of the shear strength of the bolted stiffened steel plate shear wall; σ s The stiffening rib is subjected to tensile stress;

[0023] Step 6: Calculate the cross-sectional area of ​​the stiffening rib according to formula (8);

[0024] A s =2bt s +(b s -2ts )t s (8)

[0025] Where: A s is the cross-sectional area of ​​the stiffening rib;

[0026] Step 7: Calculate the lateral bearing capacity of the steel plate shear wall reinforced with channel steel according to formula (9);

[0027]

[0028] Where: V s To strengthen the lateral bearing capacity of the steel plate shear wall with channel steel;

[0029] The beneficial effects of the present invention are as follows: the steel plate shear wall reinforced on one side of the channel steel has good lateral bearing capacity; the oblique stiffening ribs can effectively limit the out-of-plane deformation of the inner filling plate in the elastic stage, and play a role in increasing the tension band after buckling, thereby effectively improving the bearing capacity of the steel plate shear wall; the single-sided reinforcement of the channel steel reduces the construction difficulty and has better economy. BRIEF DESCRIPTION OF THE DRAWINGS

[0030] Figure 1 This is a plan view of the steel plate shear wall reinforced on one side of the channel steel.

[0031] Figure 2 This is a schematic diagram of the cross section of a steel plate shear wall reinforced on one side of a channel steel. DETAILED DESCRIPTION

[0032] The present invention will be further described below with reference to the accompanying drawings and by way of embodiments.

[0033] Example

[0034] The channel steel single-sided reinforced steel plate shear wall comprises a frame beam 1, a frame column 2, bolts 3, a channel steel 4 and a steel plate shear wall 5.

[0035] In a 20-story steel structure high-rise building, steel plate shear walls are set up in the core tube areas on both sides of the ground floor. Due to limited local space and considering the convenience and economy of construction, some shear walls are reinforced with channel steel on one side. The strength grade of steel plate shear walls and channel steel is Q355, and the elastic modulus E is 206000N / mm 2 , Poisson's ratio υ is 0.26, and the shear yield strength f vy 205N / mm 2 , Design value of shear strength of steel plate of bolted reinforced steel plate shear wall τ y 178N / mm 2, the thickness of the steel plate shear wall is 10mm, the wall height is 3500mm, the length is 3000mm, the flange width of the stiffening channel steel is 50mm, the web width is 100mm, the thickness is 6mm, and the angle between the oblique stiffening rib and the vertical direction is α s The angle is 40.6°, and the connecting bolts are all 10.9 grade high-strength bolts with a spacing of 250mm.

[0036] A method for determining the lateral bearing capacity of a steel plate shear wall reinforced on one side by a channel steel comprises the following steps:

[0037] Step 1: Determine the number of bolts n connecting the channel steel and the steel plate shear wall according to the bolt spacing construction requirements b ;

[0038] Step 2: The reduction factor of the bolt shear bearing capacity is:

[0039] n b =16

[0040] ψ b =0.8+0.09ln(n b )=0.8+0.09ln(16)=1.050

[0041] Step 3: Calculate the stiffness ratio of channel steel and steel plate shear wall:

[0042]

[0043]

[0044] Step 4: The critical buckling stress of the steel plate shear wall channel after reinforcement is:

[0045]

[0046]

[0047]

[0048] Step 5: The tensile stress of the stiffening rib is:

[0049]

[0050] Step 6: The cross-sectional area of ​​the stiffening rib is:

[0051] A s =2bt s +(b s -2t s )t s =2×50×6+(100-2×6)×6=1128mm2

[0052] Step 7: The lateral bearing capacity of the steel plate shear wall reinforced with channel steel is:

[0053]

[0054] Although the specific calculation method of the present invention is described above in conjunction with the accompanying drawings, it is not intended to limit the scope of protection of the present invention. Technical personnel in the relevant field should understand that various modifications or variations that can be made by technical personnel in the field without creative work on the basis of the design of the present invention are still within the scope of protection of the present invention.

Claims

1. A method for determining the lateral bearing capacity of a steel plate shear wall reinforced with a single side of a channel steel, comprising a main structure consisting of a frame column and a frame beam, wherein an embedded steel plate shear wall is connected to the frame column and the frame beam, and characterized in that: The channel steel is connected to the embedded steel plate shear wall by bolts, and the channel steel is arranged diagonally. The method for determining the lateral bearing capacity of the steel plate shear wall reinforced with the channel steel comprises the following steps: Step 1: Determine the number of bolts n connecting the channel steel and the steel plate shear wall according to the bolt spacing construction requirements b ; Step 2: Calculate the reduction factor of the bolt shear capacity according to formula (1); ψ b =0.8+0.09 ln(n b ) (1) Where: n b is the number of bolts on the channel steel stiffener; ψ b is the reduction factor of the bolt shear capacity; Step 3: Calculate the stiffness ratio of the channel steel and the steel plate shear wall according to formula (2): Where: E is the elastic modulus of the stiffening rib; b is the width of the stiffening channel flange; t s b is the thickness of the stiffening channel steel; s is the web width of the stiffening channel steel; D is the column stiffness of the inner filler plate; h is the height of the steel plate shear wall; l is the length of the steel plate shear wall; t w is the thickness of the steel plate shear wall; α s is the angle between the inclined channel steel stiffener and the vertical direction; υ is the Poisson’s ratio; η is the rib bending stiffness ratio; Step 4: Calculate the critical buckling stress of the steel plate shear wall channel after reinforcement according to formula (4): Where: k is the elastic shear buckling coefficient considering the influence of rib stiffness ratio; f vy is the shear yield strength of steel; is the shear stability coefficient of bolted stiffened steel plate shear wall; τ crp Critical stress of elastic shear buckling of steel plates in bolted stiffened steel plate shear walls; Step 5: Calculate the tensile stress of the stiffener according to formula (7): Where: τ y is the design value of the shear strength of the bolted stiffened steel plate shear wall; σ s The stiffening rib is subjected to tensile stress; Step 6: Calculate the cross-sectional area of ​​the stiffening rib according to formula (8): A s =2bt s +(b s -2t s )t s (8) Where: A s is the cross-sectional area of ​​the stiffening rib; Step 7: Calculate the lateral bearing capacity of the steel plate shear wall reinforced with channel steel according to formula (9): Where: V s To strengthen the lateral bearing capacity of the steel plate shear wall with channel steel reinforcement.

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