Pub Date : 2022-04-25DOI: 10.37538/0039-2383.2022.5.2.12
V. Sharkov
To assess the conditions of occurrence (or absence) of the redistribution phenomenon during seismic impacts in the silo filler, criteria have been developed to assess the factors affecting this and their values: the density of the filler and its compaction potential, the relationship of accelerations and the depth of the compaction zone, as well as sediment. In the absence of calculation formulas, a method for determining precipitation, as well as the duration of exposure with calculated acceleration, based on the use of the results of vibration compression tests of filler samples, is proposed and shown by examples. The methods of calculating the resulting filler pressure on the walls using the author’s formula are shown.
{"title":"ON THE CRITERIA FOR THE OCCURRENCE OF LOAD REDISTRIBUTION IN THE SILO FILLER FROM SEISMIC IMPACTS, METHODS FOR DETERMINING PARAMETERS AND THE ASSOCIATED LATERAL PRESSURE","authors":"V. Sharkov","doi":"10.37538/0039-2383.2022.5.2.12","DOIUrl":"https://doi.org/10.37538/0039-2383.2022.5.2.12","url":null,"abstract":"To assess the conditions of occurrence (or absence) of the redistribution phenomenon during seismic impacts in the silo filler, criteria have been developed to assess the factors affecting this and their values: the density of the filler and its compaction potential, the relationship of accelerations and the depth of the compaction zone, as well as sediment. In the absence of calculation formulas, a method for determining precipitation, as well as the duration of exposure with calculated acceleration, based on the use of the results of vibration compression tests of filler samples, is proposed and shown by examples. The methods of calculating the resulting filler pressure on the walls using the author’s formula are shown.","PeriodicalId":273885,"journal":{"name":"STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS","volume":"122 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123575841","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-04-25DOI: 10.37538/0039-2383.2022.5.54.62
A. Marutyan
The article determines the specified values of optimal parameters of pentagonal profile pipes (bent-welded profiles), equally stable out of and within the truss structure. The efficiency and rationality of their use in chord elements are shown due to the functionality of the layout design of cross sections, including one flange (horizontal face), a pair of walls (vertical faces) and a pair of inclined faces symmetrically arranged to the vertical at angles of 45° in the first modification (equilateral) and 60° in the second modification (isosceles). Both modifications disclose the certain prospect for high functional layout design in the updated faceless nodes typical for truss structures made of tubular profiles. The article gives the comparative calculation of the design coefficients and the averaged coefficients of the use of chord core elements made of pentagonal profiles with the example of their implementation in the same semi-truss, when the number of unification zones coincides. A noticeable decrease in the mass (weight) and reduction of the structural material (steel) of the chords and, as a consequence, the entire structure was revealed by the increased values of static (geometric) characteristics of the design sections. The acceptable correctness of the approximate calculation method is confirmed for its application in solving optimization and variant problems as well as at different stages of load-bearing structures’ design.
{"title":"OPTIMIZATION OF TRUSS STRUCTURES WITH CHORDS OF PENTAGONAL PROFILE PIPES ISOSCELES AND EQUILATERAL","authors":"A. Marutyan","doi":"10.37538/0039-2383.2022.5.54.62","DOIUrl":"https://doi.org/10.37538/0039-2383.2022.5.54.62","url":null,"abstract":"The article determines the specified values of optimal parameters of pentagonal profile pipes (bent-welded profiles), equally stable out of and within the truss structure. The efficiency and rationality of their use in chord elements are shown due to the functionality of the layout design of cross sections, including one flange (horizontal face), a pair of walls (vertical faces) and a pair of inclined faces symmetrically arranged to the vertical at angles of 45° in the first modification (equilateral) and 60° in the second modification (isosceles). Both modifications disclose the certain prospect for high functional layout design in the updated faceless nodes typical for truss structures made of tubular profiles. The article gives the comparative calculation of the design coefficients and the averaged coefficients of the use of chord core elements made of pentagonal profiles with the example of their implementation in the same semi-truss, when the number of unification zones coincides. A noticeable decrease in the mass (weight) and reduction of the structural material (steel) of the chords and, as a consequence, the entire structure was revealed by the increased values of static (geometric) characteristics of the design sections. The acceptable correctness of the approximate calculation method is confirmed for its application in solving optimization and variant problems as well as at different stages of load-bearing structures’ design.","PeriodicalId":273885,"journal":{"name":"STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131223814","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-28DOI: 10.37538/0039-2383.2022.1.29.36
S. V. Bakushev
We suggest a linear theory version based on Taylor decompositions for stresses and power-series for quadratic summand deformations. Thus, static equations of equilibrium in stresses are written in the form of the second-order partial derivatives differential equations. The resolving equations of equilibrium in displacements are represented in the form of the third order partial derivatives differential equations. The physical equations in this version of the linear theory of elasticity are written in the same way as in the classical linear theory of elasticity. Equilibrium equations, along with other parameters – physical constants of the medium – contain minor parameters dx, dy, dz, the value of which, as shown by numerical modelling, has little effect on the nature of the stress-strain state. It is suggested to use experimental data to determine them. Along with the formulating of the basic equations of the three-dimensional theory of elasticity, particular cases of the stress-strain state of elastic continuous medium are considered: uniaxial stressed state; uniaxial deformed state; flat deformation; generalized plane stress state. Determination of the stressed and deformed state of a thin elastic bar by integrating the resolving equations in stresses and displacements is considered as examples. The suggested version of the linear theory of elasticity, due to the quadratic summand in Taylor decompositions for stresses and in power-series for deformations, expands the classical linear theory of elasticity and, with an appropriate experimental justification, can lead to new qualitative effects in the calculation of elastic deformable bodies.
{"title":"LINEAR THEORY OF ELASTICITY WITH QUADRATIC SUMMAND","authors":"S. V. Bakushev","doi":"10.37538/0039-2383.2022.1.29.36","DOIUrl":"https://doi.org/10.37538/0039-2383.2022.1.29.36","url":null,"abstract":"We suggest a linear theory version based on Taylor decompositions for stresses and power-series for quadratic summand deformations. Thus, static equations of equilibrium in stresses are written in the form of the second-order partial derivatives differential equations. The resolving equations of equilibrium in displacements are represented in the form of the third order partial derivatives differential equations. The physical equations in this version of the linear theory of elasticity are written in the same way as in the classical linear theory of elasticity. Equilibrium equations, along with other parameters – physical constants of the medium – contain minor parameters dx, dy, dz, the value of which, as shown by numerical modelling, has little effect on the nature of the stress-strain state. It is suggested to use experimental data to determine them. Along with the formulating of the basic equations of the three-dimensional theory of elasticity, particular cases of the stress-strain state of elastic continuous medium are considered: uniaxial stressed state; uniaxial deformed state; flat deformation; generalized plane stress state. Determination of the stressed and deformed state of a thin elastic bar by integrating the resolving equations in stresses and displacements is considered as examples. The suggested version of the linear theory of elasticity, due to the quadratic summand in Taylor decompositions for stresses and in power-series for deformations, expands the classical linear theory of elasticity and, with an appropriate experimental justification, can lead to new qualitative effects in the calculation of elastic deformable bodies.","PeriodicalId":273885,"journal":{"name":"STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120951511","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-28DOI: 10.37538/0039-2383.2022.1.14.20
A. Kim, M.F. Amoyn, V. E. Khapilin
The relevance of the topic developed by the authors of this article consists in the fact that lenticular pneumatic coatings of structures have shown high load-bearing capacity, but it manifests itself only when the coating, designed in accordance with the current norms of construction design of structures, does not lose stability from snow loads. The aim of the study is to develop a method for finding parameters and assigning a value of excess air pressure sufficient to ensure the stability of a nonlinear lenticular membrane- pneumatic coating of large spans under static loads. This article discusses a static calculation for the loss of stability of a lenticular membrane-pneumatic structure. The main works of other authors on this issue are presented, the research method used by the authors of the article is described in detail. The obtained research results are described in detail and their comparison with the results of other authors is given. In conclusion, the main conclusions based on the results of this study are given.
{"title":"Static calculation of the stability of the lenticular membrane-pneumatic coating of the structure","authors":"A. Kim, M.F. Amoyn, V. E. Khapilin","doi":"10.37538/0039-2383.2022.1.14.20","DOIUrl":"https://doi.org/10.37538/0039-2383.2022.1.14.20","url":null,"abstract":"The relevance of the topic developed by the authors of this article consists in the fact that lenticular pneumatic coatings of structures have shown high load-bearing capacity, but it manifests itself only when the coating, designed in accordance with the current norms of construction design of structures, does not lose stability from snow loads. The aim of the study is to develop a method for finding parameters and assigning a value of excess air pressure sufficient to ensure the stability of a nonlinear lenticular membrane- pneumatic coating of large spans under static loads. This article discusses a static calculation for the loss of stability of a lenticular membrane-pneumatic structure. The main works of other authors on this issue are presented, the research method used by the authors of the article is described in detail. The obtained research results are described in detail and their comparison with the results of other authors is given. In conclusion, the main conclusions based on the results of this study are given.","PeriodicalId":273885,"journal":{"name":"STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126689088","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-28DOI: 10.37538/0039-2383.2022.1.37.46
O. Kozunova
A reinforced concrete beam on an arbitrary elastic base under the action of an external load is considered. Its movements and the distribution of internal forces in its sections are determined. The calculation is performed by the variation-difference method using finite differences of increased accuracy. Initially, the beam is divided into identical rectangular sections and a stiffness matrix is constructed for the elastic base as the inverse of the malleability matrix. The functional of the total potential energy is compiled as the sum of the energy of the bending of the beam, the deformation of the elastic base and the work of the external load in the form of a quadratic function of the displacements of the centers of the sections on the beam. By differentiating the latter for each displacement, a system of linear algebraic equations is formed, the solution of which is the displacement of the centers of the sections on the beam. An iterative algorithm is organized, where at each iteration, according to the “stiffness-curvature” relation ship, the bending stiffness on each section of the beam is specified. Examples of calculation of rectangular cross-section beams on an elastic layer and a Winkler base are given.
{"title":"NONLINEAR CALCULATION OF A REINFORCED CONCRETE BEAM ON AN ELASTIC BASE USING THE “STIFFNESS–CURVATURE” RELATIONSHIP","authors":"O. Kozunova","doi":"10.37538/0039-2383.2022.1.37.46","DOIUrl":"https://doi.org/10.37538/0039-2383.2022.1.37.46","url":null,"abstract":"A reinforced concrete beam on an arbitrary elastic base under the action of an external load is considered. Its movements and the distribution of internal forces in its sections are determined. The calculation is performed by the variation-difference method using finite differences of increased accuracy. Initially, the beam is divided into identical rectangular sections and a stiffness matrix is constructed for the elastic base as the inverse of the malleability matrix. The functional of the total potential energy is compiled as the sum of the energy of the bending of the beam, the deformation of the elastic base and the work of the external load in the form of a quadratic function of the displacements of the centers of the sections on the beam. By differentiating the latter for each displacement, a system of linear algebraic equations is formed, the solution of which is the displacement of the centers of the sections on the beam. An iterative algorithm is organized, where at each iteration, according to the “stiffness-curvature” relation ship, the bending stiffness on each section of the beam is specified. Examples of calculation of rectangular cross-section beams on an elastic layer and a Winkler base are given.","PeriodicalId":273885,"journal":{"name":"STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131649577","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-28DOI: 10.37538/0039-2383.2022.1.65.74
I.A. Voziakou
Design issues related to indoor air quality and “sustainable architecture” are considered. However, they have generally not been established on a reliable analytical basis. The emphasis here is on the study of analytical methods and sources for the development of recommendations for the rational design of healthy buildings. Also, this article discusses both internal conditions, especially indoor air quality problems, and general environmental problems. It discusses the assessment of the impact of buildings on the environment as a whole. It also analyzes the available data to determine the norms of important parameters of buildings and analyzes the main studies of the impact of buildings on the health of residents. The analysis presented here is intended to help building designers prioritize alternative design options that minimize harmful effects on the internal and general environment.
{"title":"ECOLOGY OF BUILDINGS. ANALYSIS AND METHODS OF BUILDING DESIGN","authors":"I.A. Voziakou","doi":"10.37538/0039-2383.2022.1.65.74","DOIUrl":"https://doi.org/10.37538/0039-2383.2022.1.65.74","url":null,"abstract":"Design issues related to indoor air quality and “sustainable architecture” are considered. However, they have generally not been established on a reliable analytical basis. The emphasis here is on the study of analytical methods and sources for the development of recommendations for the rational design of healthy buildings. Also, this article discusses both internal conditions, especially indoor air quality problems, and general environmental problems. It discusses the assessment of the impact of buildings on the environment as a whole. It also analyzes the available data to determine the norms of important parameters of buildings and analyzes the main studies of the impact of buildings on the health of residents. The analysis presented here is intended to help building designers prioritize alternative design options that minimize harmful effects on the internal and general environment.","PeriodicalId":273885,"journal":{"name":"STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS","volume":"109 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130538126","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-28DOI: 10.37538/0039-2383.2022.1.20.28
A. Soloveva, S. Solovev
The article describes a new type of the p-box (probability box) for random variables modeling in problems of structural reliability analysis. The advantage of the presented random variable model is that it is based on confidence estimates of statistical parameters without the need to confirm the hypothesis about the type of probability distribution function. The numerical example shows that the introduction of additional information in the form of a median’s confidence interval to the p-boxes based on the Chebyshev’s inequality is leading to reducing the area between the boundary distribution functions of the random variable. This makes it possible to reduce the level of uncertainty during further arithmetical operations with p-boxes in problems of structural reliability analysis, which is clearly visible after the discretization of the p-boxes into the Dempster-Shafer structure.
{"title":"DEVELOPMENT OF A REFINED P-BOX AS A RANDOM VARIABLE MODEL IN PROBLEMS OF STRUCTURAL RELIABILITY ANALYSIS","authors":"A. Soloveva, S. Solovev","doi":"10.37538/0039-2383.2022.1.20.28","DOIUrl":"https://doi.org/10.37538/0039-2383.2022.1.20.28","url":null,"abstract":"The article describes a new type of the p-box (probability box) for random variables modeling in problems of structural reliability analysis. The advantage of the presented random variable model is that it is based on confidence estimates of statistical parameters without the need to confirm the hypothesis about the type of probability distribution function. The numerical example shows that the introduction of additional information in the form of a median’s confidence interval to the p-boxes based on the Chebyshev’s inequality is leading to reducing the area between the boundary distribution functions of the random variable. This makes it possible to reduce the level of uncertainty during further arithmetical operations with p-boxes in problems of structural reliability analysis, which is clearly visible after the discretization of the p-boxes into the Dempster-Shafer structure.","PeriodicalId":273885,"journal":{"name":"STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133367287","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-28DOI: 10.37538/0039-2383.2022.1.76.77
V. Zaikin
Practice and verification of design electronic calculations in building structures: textbook.
建筑结构设计电子计算的实践与验证:教科书。
{"title":"THE FIRST TEXTBOOK ON PROJECT ELECTRONIC CALCULATIONS","authors":"V. Zaikin","doi":"10.37538/0039-2383.2022.1.76.77","DOIUrl":"https://doi.org/10.37538/0039-2383.2022.1.76.77","url":null,"abstract":"Practice and verification of design electronic calculations in building structures: textbook.","PeriodicalId":273885,"journal":{"name":"STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121278075","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-28DOI: 10.37538/0039-2383.2022.1.54.58
S. V. Bosakov, Y. N. Kotov
Porpose. Calculation of the plate on flexible base where one part of the points of the plate base are in the same inclined plane during bending. The concrete foundation where a base plate is located is an flexible semi-infinite foundation. Method. To determine a contact voltage between the plate and the foundation the Zhemochkin method is used. The system of canonical equations includes the equations of the Zhemochkin method and the equation to find single points of the slab in the inclined plane. The result of solving the system determines the forces in the method of Zhemochkin and unknown forces causing the displacement of the base plate of the foundation in the same inclined plane. Then the displacement of the base plate and the forces in it are found. Results. Calculation of the metal foundation of an eccentrically compressed metal column with an I-beam cross-section based on a concrete surfacing. Isolines of equal contact voltages and displacements, graphs of voltage and displacement with the typical sections of the foundation are shown.
{"title":"CONTACT PROBLEM FOR INCLINED PLATE CONDITIONS OF EQUALITY OF ITS SOME DISPLACEMENT","authors":"S. V. Bosakov, Y. N. Kotov","doi":"10.37538/0039-2383.2022.1.54.58","DOIUrl":"https://doi.org/10.37538/0039-2383.2022.1.54.58","url":null,"abstract":"Porpose. Calculation of the plate on flexible base where one part of the points of the plate base are in the same inclined plane during bending. The concrete foundation where a base plate is located is an flexible semi-infinite foundation. Method. To determine a contact voltage between the plate and the foundation the Zhemochkin method is used. The system of canonical equations includes the equations of the Zhemochkin method and the equation to find single points of the slab in the inclined plane. The result of solving the system determines the forces in the method of Zhemochkin and unknown forces causing the displacement of the base plate of the foundation in the same inclined plane. Then the displacement of the base plate and the forces in it are found. Results. Calculation of the metal foundation of an eccentrically compressed metal column with an I-beam cross-section based on a concrete surfacing. Isolines of equal contact voltages and displacements, graphs of voltage and displacement with the typical sections of the foundation are shown.","PeriodicalId":273885,"journal":{"name":"STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116313138","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-28DOI: 10.37538/0039-2383.2022.1.4.13
M. Farfel, M. Gukova, A. E. Svyatoshenko
The paper presents the derivation of formulas for the method of calculating bent elements for general stability, given in SP 16.13330, which is based on the theory of thin-walled elastic rods and the system of differential equations of V. Z. Vlasov. Formulas are given for a single-span beam with a hinged mounting of supports. A general equation has been compiled for calculating the bending stability coefficient φ_1, which allows adapting the requirements of SP16.13330 standards to various types of load action in the beam span. The results are presented for twenty-five different types of external load action. The formulas take into account the arbitrary location of the load along the height of the beam section, from the lower edge of the lower belt to the upper edge of the upper belt. The values of the critical moment M_cr, at which a new form of equilibrium state arises in the beam, are determined, according to the conclusions of the work [6]. The critical moment M_cr is calculated in the form of a stability problem of the first kind – the loss of a stable position of an element of a rectilinear shape (the load acts along the line of the bending center, the neutral axis of the beam is rectilinear, the material is elastic). The formulas of the presented table can be used to perform verification calculations.
本文根据薄壁弹性杆理论和V. Z. Vlasov的微分方程组，推导了sp16.13330中给出的一般稳定弯曲单元的计算公式。给出了铰接支承单跨梁的计算公式。编制了计算弯曲稳定系数φ_1的一般公式，使其能够适应SP16.13330标准对梁跨中各种荷载作用的要求。给出了25种不同类型的外荷载作用的结果。这些公式考虑了荷载沿梁段高度的任意位置，从下带的下边缘到上带的上边缘。根据工作[6]的结论，确定了临界矩M_cr的值，在此时刻，梁中出现了一种新的平衡态形式。临界矩M_cr以第一类稳定性问题的形式计算——直线形状的单元的稳定位置的损失(荷载沿弯曲中心的直线作用，梁的中性轴是直线的，材料是弹性的)。给出的表格中的公式可用于进行验证计算。
{"title":"Total stability of two constant section beams. Development of payment provisions","authors":"M. Farfel, M. Gukova, A. E. Svyatoshenko","doi":"10.37538/0039-2383.2022.1.4.13","DOIUrl":"https://doi.org/10.37538/0039-2383.2022.1.4.13","url":null,"abstract":"The paper presents the derivation of formulas for the method of calculating bent elements for general stability, given in SP 16.13330, which is based on the theory of thin-walled elastic rods and the system of differential equations of V. Z. Vlasov. Formulas are given for a single-span beam with a hinged mounting of supports. A general equation has been compiled for calculating the bending stability coefficient φ_1, which allows adapting the requirements of SP16.13330 standards to various types of load action in the beam span. The results are presented for twenty-five different types of external load action. The formulas take into account the arbitrary location of the load along the height of the beam section, from the lower edge of the lower belt to the upper edge of the upper belt. The values of the critical moment M_cr, at which a new form of equilibrium state arises in the beam, are determined, according to the conclusions of the work [6]. The critical moment M_cr is calculated in the form of a stability problem of the first kind – the loss of a stable position of an element of a rectilinear shape (the load acts along the line of the bending center, the neutral axis of the beam is rectilinear, the material is elastic). The formulas of the presented table can be used to perform verification calculations.","PeriodicalId":273885,"journal":{"name":"STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128892846","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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