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均布荷载作用下的矩形截面简支梁挠度近似计算公式的误差分析

Error analysis on the rectangular cross-section simply supported beam deflection formula for approximate calculation forced on the distributed load

中文摘要英文摘要

均布荷载作用下矩形截面简支梁的挠度计算,实际工程中多采用近似公式,而不是理论公式。通过实际算例,分析了近似公式与理论公式的挠度计算值的误差范围和变化规律,结果表明,在民用建筑中对受均布荷载作用的矩形截面钢筋混凝土梁的最大挠度采用近似计算是可行的。由弹性模量较小的材料制作的矩形截面简支梁承受均布荷载作用时,如果梁的几何参数较小,对最大挠度值的精度要求很高,我们要尽可能采用理论公式进行计算。

In practice, the Deflection Calculating of the simply supported beam with rectangular cross-section load by uniformly distributed load, using approximate formula, but not the theoretical formula. Through practical examples, analysis of the approximate formula with the theoretical formula for calculating the value of the deflection error range and changes, the results showed that in the civil construction of the role of uniformly distributed load of reinforced concrete beams with rectangular cross-section of the maximum deflection using approximate calculation is feasible. The rectangular cross-section simply supported beam under uniformly distributed load produced by the smaller elastic modulus of the material, if the beam geometrical parameters of the small value the maximum deflection demanding precision, we must maximize the use of theoretical calculation formula.

李健祥、张琳玲、李甲

建筑基础科学建筑结构

简支梁挠度近似计算公式误差分析

Simply supported beamdeflectionapproximate calculation formulaerror analysis

李健祥,张琳玲,李甲.均布荷载作用下的矩形截面简支梁挠度近似计算公式的误差分析[EB/OL].(2009-02-18)[2025-07-16].http://www.paper.edu.cn/releasepaper/content/200902-863.点此复制

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