变换截面法的扩展分析原理

The Extending Analytic Theory of Transformed Section Method

提出变换截面法的扩展分析原理，使之成为兼容各向异性非弹性材料且截面形状不对称，又在轴向力和斜弯矩共同荷载情况下分析应力应变的通用数值方法。其主要步骤为：①将材料的应力应变曲线近似为一组分段直线，每分段直线特性都用其斜率和初应力表述；②假定应变按一规律分布，因此可划分截面上的各分段作用区域，计算其面积特性和初应力合力及其矩；③以应用荷载检算应得的应变分布；④用应得应变分布作为新一论试算的假定应变分布，重新检算应得应变，如此迭代进行，直至达到要求精度为止。

The extending analytic theory of the transformed section method is derived in order to creat a general numerical analytic method of strains and strsses capably on irrgular section with anisotropic nonelastic properties under combined loads of axial force and skew moments. The analysis procedures are listed in the following steps:①Approximate the stress strain curve as a set of segmented lines expressed in terms of slope and initial strss.②Assume a strain distribution, e. g. 10 -10 in the beginning. Delimite the segment affecting areas. Compute the area properties, initial stress resultants, etc.③Check the strain distribution resulted by the applied loads, and④Use checked strain distribution as the assumed one and check strain once more. This process may be repeated several times up to the accuracy required. The whole program may be automatically computed in a microcomputer.