Plastic interaction relations for semi-elliptical hollow sections
Plastic interaction relations for semi-elliptical hollow sections
复制标题
半椭圆空心截面的塑性相互作用关系
DOI：
10.1016/j.tws.2008.11.010
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发表时间：
2009
影响因子：
6.4
通讯作者：
M. Mohareb
中科院分区：
文献类型：
--
作者：
F. Nowzartash;M. Mohareb
推导了轴力、双向弯矩和扭转共同作用下椭圆形截面（EHS）的相互作用表达式。该公式是基于塑性下限定理和最大畸变能密度屈服准则。开发的相互作用的表达式由一组椭圆积分铸造在一个无量纲的形式和数值计算，以获得一个网格的内力组合躺在屈服面上寻求。在内力组合网格上拟合了一系列试函数，选择了一个简化的保守的相互作用方程。相互作用关系涉及轴向力，双轴弯曲和扭转力矩组合的EHS部分常见的几何形状。通过一个实例说明了该方法在钢结构设计中进行截面相关验算的适用性。
Interaction expressions are developed for steel elliptical hollow sections (EHS) subjected to combinations of axial force, biaxial bending moments and torsion. The formulation is based on the lower bound theorem of plasticity and the maximum distortional energy density yield criterion. The interaction expressions developed consist of a set of elliptical integrals which are cast in a dimensionless form and numerically evaluated to obtain a grid of internal force combinations lying on the yield surface sought. A series of trial functions are fitted to the grid of internal force combinations and a simplified and conservative interaction equation is selected. The interaction relation relates axial force, biaxial bending and twisting moment combinations for EHS sections of common geometries. Its applicability for conducting the cross-sectional interaction check in structural steel design problems is illustrated through a practical example.