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عنوان فارسی مقاله:
استفاده از المان اتصال تیر به ستون به منظور تجزیه و تحلیل قاب بتن مسلح
عنوان انگلیسی مقاله:
A beam–column joint element for analysis of reinforced concrete frame structures
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بخشی از مقاله انگلیسی :
2. The proposed beam–column joint element
2.1. Formulation
The Mitra–Lowes element comprises one shear panel component, eight bar-slip springs and four interface shear springs, as illustrated in Fig. 1. The shear panel simulates strength and stiffness loss due to failure of the joint panel; the bar-slip springs simulate strength and stiffness loss due to anchorage-zone damage; and the interface-shear springs simulate the shear transfer through friction at the beam or column ends. However, it is difficult for barslip springs to consider complex beam cross sections and account for different bond-slip behaviours in the joint panel. Moreover, too many bar-slip springs at the joint perimeter can easily cause numerical convergence problems in structural nonlinear analysis. The joint element shown in Fig. 2 is proposed to overcome these limitations. It keeps the shear panel component but replaces the bar-slip springs by zero-length elements at the beam ends and it removes the bar-slip springs at the column ends for simplification. The constitutive model of reinforcing steel in a zero-length element can be defined by various stress–slip relations to introduce the additional angles Dhbl and Dhbr at the beam ends accounting for different bond-slip behaviours, as described in Fig. 3. The additional angles calculated by section analysis are determined by the yield strength of the beam rebar fy, the bond strengths sE and sY for elastic and yielding steel, and beam rebar slip s. The shear forces Vbr, Vbl, Vct, Vcb, the axial forces Nbr, Nbl, Nct, Ncb, and the moments Mbr, Mbl, Mct, Mcb at the joint perimeter are used to describe the force equilibrium. hbl and hbr at the beam ends are the rotation angles associated with the moments Mbl and Mbr. b and h are the width and the height of the joint panel. The total moment Mj and rotation angle hj for joint panel are defined by Eq. (1).