幕墙立柱单支座等跨连续梁力学分析及优化建议

Mechanical analysis and optimization suggestions of the continuous beam of single-support & equal-span

本文根据杆件结构力学原理,结合静力结构计算手册,求出单支座等跨连续梁弯矩计算公式、挠度公式、杆件弯矩峰值的极小值及对应的最佳支座点位置,分析出杆件挠度峰值随支座位置变化而变化的趋势和若干点位置挠度。指出在内力起控制作用时,以支座分界的杆件两端长度比值为5.8284(即悬挑长度是杆件跨度的0.1464倍)时,杆件最大弯矩最小,为简支梁时的跨中弯矩值的一半,此时最为经济,设计时应尽量向此值靠拢;在挠度起控制作用时,悬挑长度与杆件长度的比值约在0.225附近时挠度极值最小,设计时可尽量向此值靠拢,以降低成本。

Under this article member principles of structural mechanics, combining static structural calculations manual, find the bearing of single-span continuous beam bending moment calculation formula, formulafor deflection, find the extreme value of bending and the position, deflection analysis of bar peak vary with support position change trend and some point deflection, point out that when controlling internal forces, support boundaries for both ends of the rod length ratios of 5.8284 （0.1464 times the cantilever span length is the bar）, bar maximum bending moment minimum, for simply supported beam across moment values in half, design should try to move closer to this value. When deflection control role, cantilever length and rod length ratios of approximately 0.225 deflection at extreme mininmm in the vicinity, designs may try to move closer to this value in order to reduce costs.