摘要:
GB 500102002《混凝土结构设计规范》(以下简称规范)关于偏压构件的Mu-Nu相关性曲线是由大小偏心两段相关性曲线组成的,两段曲线在界限处不能很好的连续过渡,出现尖点。小偏心段在接近轴压状态时不具有连续性,与轴心受压极限承载力公式存在矛盾,导致规范Mu-Nu曲线存在一块不安全区域。针对《规范》的不合理性,提出一个统一纯弯-压弯-轴压三种受力状态的统一计算公式。统一公式的Mu-Nu曲线是一条连续光滑的曲线,曲线连接了纯弯、压弯、轴压三个受力状态,具有明确的物理意义。统一公式相关性曲线在接近轴压时能很好的和轴心受压状态衔接。有效地解决规范之间的矛盾。此外,统一公式在计算对称配筋偏压构件时可取消判断大小偏心判别这一步骤,计算所得的钢筋面积也能返回统一公式验算。通过对比分析统一曲线与规范曲线,两者可以较好地吻合。比较统一公式与规范公式计算所得的钢筋面积,结果表明,规范公式的小偏心受压和轴压的配筋存在突变,在接近轴压点时小偏心计算较轴压公式偏不安全,而统一公式的配筋计算具有较好的过渡性,计算精度满足工程的要求,可靠指标满足GB500682001《建筑结构可靠度设计统一标准》的要求。
Abstract:
In GB 500102002,the Mu-Nu relevant curve composed of two relevant curves couldn't transit well,and the small eccentric curves couldn't be connected with the axial point,which cause the calculation results with small eccentric formula near axial compression point to be unsafe.A unified calculation method is derived to connect pure bending,eccentric compression and axial compression.The formula has a definite physical meaning.Through the convergence between the small eccentric compression curves and axial compression point,these issues can be solved effectively.By comparing the curve of unified formula with that of code,which is consistent relatively,the judge of the type of eccentricity can be cancelled and the calculated reinforcement area can be returned to the unified formula for checking.The results show that there is a reinforcement mutation between small eccentricity formula and axial compression formula of the code.The small eccentric formula near axial compression point is not safe.The reinforcement calculation of the unified formula has a good transition and can meet the demand of GB 500682001.