一、前言本文就现行的“工业与民用建筑地基基础设计规范”,采用拉格朗日乘子法,研究提出了柱下单独基础实用优化设计方法,并推导出工程中常见的偏心受压基础的最优高度和最优配筋的计算公式。对于有特殊要求的偏心受压基础亦可用本文提出的方法,计算最优高度和最优配筋。二、基础底面尺寸选择 I. INTRODUCTION This paper uses the Lagrange multiplier method to study the current “Design Standards for Foundations of Industrial and Civil Building Foundations”, researches and proposes a practical optimization design method for individual foundations under columns, and derives the common eccentric compression foundations in engineering. The optimal height and the calculation formula for optimal reinforcement. For the special requirements of the eccentric compression foundation can also use the method proposed in this paper, calculate the optimal height and the best reinforcement. Second, the base floor size selection