By this rule , in many braced frame structures , where the lateral stiffness of the bracing system is less than five times that of the frame ( weakly braced frame ) , the effective length column length is determined as if no bracing exists at all 显然，按照目前设计规范确定框架柱的计算长度系数的方法，将会使大部分设有支撑体系的结构，其支撑对框架稳定的有利作用得不到有效的利用。
According to eigenvalue equation ( general formula ) of the energy method of the plane steel frame structure stability , and considering the restriction of the end of the column of the main steel frame and function of deflection curve gained from the differential balance equation general resolution , we get the equation for calculating the length coefficient of the main frame structure stability of the steel arch gate and the resolutions are also given 根据平面刚架稳定性能量法特征值方程(通式) ，考虑弧形钢闸门主框架柱的柱端约束的特殊情况，求出挠曲线函数(试解函数)通解，得到弧形钢闸门主框架柱稳定性计算长度系数方程。其中弧门主框架主横梁式形框架的临界荷载比较现行规范推荐的有限元法简单方便、结果精确及物理概念明确等优点。
The new concepts , such as the active supporting coefficient , the coefficient of strength utilization , the coefficient of pretensioned bolt length , the effective compressive zone , the coefficient of pretensioned stress diffusion , the framework and mesh structure of the effective compressive zone , and the critical supporting stiffness were put forward 提出锚杆主动支护系数、强度利用系数、预应力长度系数、有效压应力区、预应力扩散系数、有效压应力区骨架网状结构及临界支护刚度等概念。
For frames of more than 3 stories , the weakest story is first selected and a three - story sub - assemblage including the weakest column is taken out , and the proposed method is applied , the effective length of the weakest column is thus obtained , the effective length of the remaining columns are computed through a pre - defined relations . because the sub - assemblage included beams at far ends of the columns above and below the column under consideration , the far end condition ( hinged or fixed ) may be considered easily 对于更多层的情况，先判断薄弱层，再假定薄弱层的上下层柱远端的梁端约束全部提供给与薄弱层相邻层的柱，取出薄弱层及其上下层的梁柱，按前面处理两层或三层框架的方法可以得到薄弱层柱很精确的计算长度系数，相应导得其它层柱的计算长度系数。
Steel structure of light - weight buildings with gabled frames is a widely used steel structural style in china at present . this paper starts with the deficiency of the specificaion in calculating the effective length factors of gable portal frames . when the gable portal frame subjected to the vertical uniform loading , it conducts the arch effect ? 1 . rafter axial force is large when the slope of rafter is big 门式刚架轻型房屋钢结构体系是目前广泛应用的一种结构形式,本文从规范中门式刚架柱的计算长度系数取值的不足出发,针对山形门式刚架在竖向均布荷载作用下产生的拱效应? ? 1 、斜梁倾角较大时产生较大的梁内轴力; 2 、产生跨变效应; 3 、高跨比较小的山形门式刚架会发生跃越失稳,采用整体分析的方法对山形门式刚架的稳定进行了分析。
This paper analyzes and modifies all the factors influencing the stability such as elastoplasticity , horizontal loads and asymmetry loads . 6 . this paper presents a practical second - order method of the stability of main frame of the steel arch gate by combining the virtues of calculating length method 本论文的重点为提出框架柱计算长度系数实用计算公式，及考虑剪力影响、不对称性等因素对影响的研究；提出弧门主框架弹塑性稳定计算方法；提出弧门主框架弹塑性稳定二阶分析实用计算方法。
The column effective length of strong bracing system can be calculated according to current design code , when consider the axial force changing impact on its effective length of the column , this text has offered the " g coefficient of correction " method . for weak bracing system , this paper provided the concrete formula of calculating the effective 1 ength coefficient of column 强支撑体系中柱子计算长度可以按照现行规范计算，当考虑柱子轴力变化对其计算长度的影响时，本文提供了修正g系数法；对于弱支撑体系，本文提供了计算柱子计算长度系数的具体公式。
In order to solve those problems , this article adopts the energy method to analyze the stability of the major frame of steel arch gate to make up the weakness in the current standards and found the calculating models of the stability of the whole major frame of the steel arch gate . it also presents the general formula for calculating the eigenvalue and the precise equation of the calculating the length coefficient of the steel arch gate frame by using the energy method and choosing the proper experiment function 本文主要采用能量法对弧形钢闸门主框架线弹性稳定性进行分析与研究，建立单柱概化弧形钢闸门主框架整体稳定的计算模型，并通过选择合适试解函数，应用能量法给出特征值方程及弧门框架稳定性计算长度系数精确解的公式，提出一个基于该模型方便工程设计的实用计算公式。
Based on the analysis of bearing characteristic of the staggered truss system , a simplified calculation model of staggered truss structure under vertical loads or lateral loads is presented . after that , according to the simplified calculation model , iterate method for calculating internal forces of vierendeel staggered truss structure under vertical loads and a method for calculating member forces and lateral deflection of structure is provided . at last , a method for calculating effective - length factor of column is provided by analyzing the effect of restraint of column ends , other columns in same story and neighboring story on effective - length of columns 通过对交错桁架结构体系受力特点的分析，确定了在竖向荷载和水平荷载作用下交错桁架结构体系的简化计算模型；然后，根据计算模型，提出了竖向荷载作用下空腹交错桁架结构的内力迭代计算方法以及水平荷载作用下交错桁架结构的内力和侧移计算方法；最后，通过分析柱端约束、同一楼层其它柱子以及相邻楼层柱子的影响，给出了柱子计算长度系数的计算方法。
A quadratic equation with one variable for two - story frames and a cubic equation with one variable for three - story frames are derived from which the rotational restraint provided to each column may be solved and the effective length factors can then be determined by the traditional formula or tables 对于两层框架，通过求解一个一元二次代数方程得到各柱柱端的转动约束；对于三层框架，通过求解一个一元三次代数方程，得到各柱柱端的转动约束。进而由传统公式或规范附表得到各柱的计算长度系数值。
