SHAKEDOWN ANALYSIS OF THE TRUSS AND COMPARING WITH THE FUNDAMENTAL THEOROMS OF ALASTIC-PLASTIC ANALYSIS IMPLEMENTED IN A HOME-PAKEGE AND ANSYS (80,00 руб.)

ИННОВАЦИОННЫЕ ПРОГРАММЫ ИНЖЕНЕРНЫХ ИССЛЕДОВАНИЙ SHAKEDOWN ANALYSIS OF THE TRUSS AND COMPARING WITH THE FUNDAMENTAL THEOROMS OF ALASTICPLASTIC ANALYSIS IMPLEMENTED IN A HOMEPAKEGE AND ANSYS Alireza Heidari, Vera V. Galishnikova Peoples’ Friendship University of Russia Ordzhonikidze str., 3, Moscow, Russia, 115419 Research results in shakedown analysis of space steel structures are presented in this paper. <...> The theory of shakedown and conventional methods of analysis are discussed, and the example of a shakedown of a truss-column is provided to illustrate the concepts of the nonlinear analysis and shakedown for space trusses [1; 4]. <...> Key words: Shakedown Analysis, Limit Analysis, Plasticity, Geometrical and Material Nonlinearities, Truss Structures. <...> Behavior of steel subjected to uniaxial states of stress. <...> The space trusses which are analyzed in this paper are steel structures. <...> Of particular importance is the state of stress at a material point which results from a given state of strain at the same point. <...> The mathematical formulation of this relationship depends on the state of stress. <...> The relationship for a uniaxial state of stress is considerably simpler than the relationship for a three-dimensional state of stress. <...> Figure 1 shows the stress σ as a function of the strain ε for a uniaxial state of stress in a mild steel specimen. <...> The stress-strain diagram is subdivided into three zones. <...> In the elastic zone the stress σ is proportional to the strain ε. <...> The proportionality constant is called the modulus of elasticity E. Let the stress be increased from null to ε so that the material reaches state (ε, σ) in the elastic zone. <...> If the stress is then removed (reduced to null), the strain is also reduced to null. <...> Elastic strains are thus fully reversible [1; 5]. 5 Вестник РУДН, серия Инженерные исследования, 2014, № 1 strain ε Fig. 1. <...> Stressstrain diagram for mild steel Plastic behavior. <...> Consider a steel specimen with the load history shown in figure 2. <...> Let the stress be increased from null until the material reaches the upper yield point. <...> The state of the specimen then enters the plastic zone. <...> If the strain is increased further to point B, the total strain equals the sum of an elastic strain component and a plastic strain component. <...> The elastic strain at point B equals the elastic strain at the entry point A to the plastic zone <...>