English
Русский 104-120 p.
In the mechanics of a deformable solid, there are rods (one overall dimension of which is significantly larger than the other two), plates and shells (one dimension of which is significantly smaller than the other two), arrays (all three dimensions of which are of the same order). The complexity of the corresponding calculation models grows in the same order: the calculation models for rods and rod systems are relatively simple, the most complex are the calculation models for massive structural elements.
In the work, parametric equations of the strength surface in the space of internal force factors (IFF) are obtained – 9 forces and 9 moments for homogeneous anisotropic bodies. As special cases, similar equations are given for isotropic bodies that resist tension and compression differently, for isotropic bodies that equally resist tension and compression. Algorithm A1 for constructing the desired sections of strength surfaces given by parametric equations is proposed. Algorithm A2 is proposed for deter-mining the safety factors for the bearing capacity, remaining in the space of the IFF. Some examples of calculations made using the proposed equations, algorithms and the corresponding computer programs compiled on their basis are given.
The proposed method for calculating massive bodies allows a more realistic assessment of the bearing capacity of massive structural elements.
In the work, parametric equations of the strength surface in the space of internal force factors (IFF) are obtained – 9 forces and 9 moments for homogeneous anisotropic bodies. As special cases, similar equations are given for isotropic bodies that resist tension and compression differently, for isotropic bodies that equally resist tension and compression. Algorithm A1 for constructing the desired sections of strength surfaces given by parametric equations is proposed. Algorithm A2 is proposed for deter-mining the safety factors for the bearing capacity, remaining in the space of the IFF. Some examples of calculations made using the proposed equations, algorithms and the corresponding computer programs compiled on their basis are given.
The proposed method for calculating massive bodies allows a more realistic assessment of the bearing capacity of massive structural elements.
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[15]. Mailyan L., Yaziev S., Sabitov L. Et al. Stress-strain state of the «combined tower-reinforced concrete foundation-foundation soil» system for high-rise structure. E3S Web of Confer-ences: Topical Problems of Green Architecture, Civil and Environmental Engineering, TPACEE 2019, Moscow, 164. Moscow: EDP Sciences, 2020. P. 02035. – DOI 10.1051/e3sconf/202016402035
[16]. Izotov V.S., Mukhametrakhimov R.Kh., Sabitov L.S. Experimental research of efficiency of disperse reinforcement of stretched zone of flexural concrete elements. Scientific Herald of the Voronezh State University of Architecture and Civil Engineering. Construction and Ar-chitecture. 2011. 1 (9). P. 78 – 85.
[17]. Karataev O.R., Sabitov L.S., Kashapov N.F. Numerical modeling of joint work of supports made of thin–walled rods of shells of closed profile with precast reinforced concrete founda-tion in PC Ansys. Bulletin of the Technological University 2018. 21 (12). P. 120 – 123. (rus.)
[2]. Rzhanitsyn A.R. Construction mechanics. M.: Higher School, 1991. 439 p. (rus.)
[3]. Chiras A.A. Construction mechanics. M.: Stroyizdat, 1989. 255 p. (rus.)
[4]. Sibgatullin K.E., Sibgatullin E.S. Safety Factor of Anisotropic Barsinthe Space of General-ized Forces. Mechanics of Composite Materials. 2017. 52 (6). P. 781 – 788. DOI 10.1007/s11029-017-9629-0
[5]. Sibgatullin K.E., Sibgatullin E.S. The determining of the coefficient of safety of bearing ability of anisotropic bars in the general case of their complex resistance. IOP Conference Series Materials Science and Engineering. 2014. 69, 012041. P. 1 – 5. DOI 10.1088/1757-899X/69/1/012041
[6]. Sibgatullin K.E., Sibgatullin E.S. Estimate of strength of anisotropic bars of arbitrary cross-section in the general case of their combined stress. Mechanics of Solids. 2010. 45 (1). P. 67 – 73. DOI 10.3103/S0025654410010103
[7]. Sibgatullin K.E., Sibgatullin E.S. A technique of analyzing critical forces and moments for isotropic rods of arbitrary cross-section in the general case of their complex resistance Rus-sian Aeronautics 2008. 51 (2). P. 126 – 129. DOI 10.3103/S1068799808020049
[8]. Batnidze N.A., Sibgatullin E.S. Study of isotropic shell survivability by the analytical meth-od. Russian Aeronautics. 2013. 56 (2). P. 126-130. DOI 10.3103/S1068799813020037
[9]. Islamov K.F., Sibgatullin E.S. Rational reinforcement of a reinforced concrete dome with cutouts. “Bulletin of the Tambov University. Series: Natural and Technical Sciences”.2006. 11 (4). P. 579 – 582. (rus.)
[10]. Sibgatullin E.S. The alternative fracture criterion for the energy-based theory of strength. Strength of Materials. 2001. 2. P. 28 – 34.
[11]. Teregulov I.G., Sibgatullin E.S., Markin O.A. Limiting state of multilayer composite shells. Mechanics of composite materials.1988. 4. S. 715 – 720.
[12]. Geniev G.A., Kurbatov A.S. Strength criteria of anisotropic materials with regard for differ-ent failure mechanisms. Strength problems. 1991. 12. P. 2 – 6.
[13]. Malmeister A.K. Geometry of strength theories. Mechanics of polymers.1966. 4. P. 519 – 534. (rus.)
[14]. Kachanov L.M. Fundamentals of the theory of plasticity. Moscow: Nauka, 1969. 420 s. (rus.)
[15]. Mailyan L., Yaziev S., Sabitov L. Et al. Stress-strain state of the «combined tower-reinforced concrete foundation-foundation soil» system for high-rise structure. E3S Web of Confer-ences: Topical Problems of Green Architecture, Civil and Environmental Engineering, TPACEE 2019, Moscow, 164. Moscow: EDP Sciences, 2020. P. 02035. – DOI 10.1051/e3sconf/202016402035
[16]. Izotov V.S., Mukhametrakhimov R.Kh., Sabitov L.S. Experimental research of efficiency of disperse reinforcement of stretched zone of flexural concrete elements. Scientific Herald of the Voronezh State University of Architecture and Civil Engineering. Construction and Ar-chitecture. 2011. 1 (9). P. 78 – 85.
[17]. Karataev O.R., Sabitov L.S., Kashapov N.F. Numerical modeling of joint work of supports made of thin–walled rods of shells of closed profile with precast reinforced concrete founda-tion in PC Ansys. Bulletin of the Technological University 2018. 21 (12). P. 120 – 123. (rus.)
Novoselov O.G., Sabitov L.S., Sibgatullin K.E., Sibgatullin E.S., Klyuev A.V., Klyuev S.V., Shorstova E.S. Method for calculating the strength of massive structural elements in the general case of their stress-strain state (parametric equations of the strength surface). Construction Materials and Products. 2023. 6 (2). P. 104 – 120. https://doi.org/10.58224/2618-7183-2023-6-2-104-120