CALCULATION OF THE REINFORCED ELEMENTS IN ONE-SIDED EXPANSION BY USING NONLINEAR CONCRETE CREEP EXTENTION
Journal Title: Вісник Кременчуцького національного університету імені Михайла Остроградського - Year 2017, Vol 1, Issue 104
Abstract
Purpose. The article investigates a reinforced concrete element of a rectangular profile, hardened in the stretched zone by upbuilding, using a nonlinear deformation model taking into account nonlinear sustained processes occurring in concrete. The adopted nonlinear equation for concrete under compression takes into account both the nonlinearity of the hardened instantaneous deformations and the nonlinearity of the long term deformations. For the old concrete, taking the measure of difference type creep, the integral nonlinear creep equation has been represented in the form of a first order nonlinear differential equation. Accepting the traditional hypotheses used in the calculation of bent reinforced concrete elements, taking into account the elastically plastic operation of the reinforcement, the solution of the problem has been reduced to solving the Cauchy problem for a nonlinear system of first-order differential equations. Further, the built resolving system of nonlinear differential equations has been solved numerically with the use of fourth-order Runge-Kutta method. Since the problem is solved numerically, the increase in the unit of time is easily accounted for elastically instantaneous deformation and strength of concrete. Using the developed method on the basis of numerical experiments it has been demonstrated the efficiency of the proposed calculation procedure.
Authors and Affiliations
E. Z. Asadov
Keywords
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