两端带水平梯段钢梯梁挠度计算分析

Calculation and Analysis of Deflection of Steel Ladder Beam with Horizontal Ladder at Both Ends

根据近似微分方程推导出两端带水平梯段钢梯梁的竖向和水平向挠度曲线方程,采用范金盛修正公式,求解挠度极值点的位置。基于等效原理,提出钢梯梁竖向挠度的简化计算公式,并经过试算,给出调整系数。采用STAAD PRO建立简支钢梯梁对比模型,理论公式和简化公式的计算结果与软件计算结果基本一致,误差均在5%以内;对不同支座类型的梯梁挠度进行计算分析,理论公式和简化公式能很好地适用于钢梁支座的梯梁挠度计算,误差在2%以内,对于混凝土梁支座,理论公式和简化公式的计算结果略大于软件计算结果,大约在5%~10%之间。

Based on the approximate differential equation,the vertical and horizontal deflection curves of steel ladder beams with horizontal ladder sections at both ends were deduced,and the positions of extreme deflection points were solved by using Fan Jinsheng's modified formula.Based on the equivalent principle,a simplified calculation formula for vertical deflection of steel ladder beam was proposed,and the adjustment coefficient was given by trial calculation.the comparison model of simply supported steel ladder beam was established by STAAD PRO,The calculation results of theoretical formula and simplified formula were basically consistent with those of software,and the errors were within 5%.The deflections of steel ladder beams with different support types were calculated and analyzed,The theoretical formula and simplified formula could be well applied to the calculation of the deflection of the ladder beam of steel beam bearing,the error was within 2%.For the concrete beam bearing,the calculation results of the theoretical formula and simplified formula were slightly greater than the software calculation results,about 5%~10%.