Beam Deflection under Static Loading: Comparison Between Dial Gauge and Total Station Measurements

Gamal H. Seedahmed
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Abstract

This paper presents the results of experimental findings for beam deflection measurements under static loading using dial gauges and a reflector-less Total Station. The ultimate objective of this work is to compare the performance of the Total Station with respect to the Dial Gauge (DG). Cement bags were utilized for loading test.These loads are accumulated evenly in six steps. The total tested load was 4.2 tons. The tested beams were located in the Sport City-Khartoum State. This work reveals that the reflector-less Total Station-Leica 1202 (RLTS) produces a very strong correlation and an acceptable accuracy that stands within the limits of its minimum decimalfraction of the metric units. Several tests were carried out to confirm the linearity of the deflections against the loads. These tests are very important since they convey the information about the elastic behavior of the tested beams. In this regards, both measuring techniques produce correlation factors and R2 values for the loads vs. thedeflections of more than 0.98. The deflection accuracy of the Total Station, in terms of root-mean-square-error (RMSE), for the three beams were:  0.30 mm,  0.36 mm, and  0.39 mm, respectively. This finding indicates that the Total Station can provide sub-millimeter accuracy with respect to the dial gauge. The maximum deflection was found in beam number 3, which amounts to 7.9 mm from the Total Station and 7.85 mm from the dial gauge. Both measurement techniques produce recovery percentages that were greater than 88%. The overall findings of this experiment indicates that this reflector-less Total Station can be used for on-site measurement of deflection and for awide range of deflection/deformation measurement applications.
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静载荷下的梁挠度:百分表和全站仪测量的比较
本文介绍了在静载荷作用下,用千分表和无反射器全站仪测量梁挠度的实验结果。这项工作的最终目的是比较全站仪与刻度表(DG)的性能。采用水泥袋进行加载试验。这些负载在六个步骤中均匀地累积。试验总载荷为4.2吨。测试横梁位于喀土穆体育城。这项工作表明,无反射器全站仪-徕卡1202 (RLTS)产生了非常强的相关性和可接受的精度,站在其最小十进制分数的限制内的公制单位。进行了几次试验以确认挠度对载荷的线性关系。这些试验非常重要,因为它们传达了有关被测梁的弹性性能的信息。在这方面,两种测量技术产生的相关因素和R2值的载荷相对于大于0.98的挠度。三根梁的全站仪挠度精度(RMSE)分别为0.30 mm、0.36 mm和0.39 mm。这一发现表明,全站仪可以提供亚毫米精度相对于表盘表。最大挠度出现在3号梁上,与全站仪相差7.9毫米,与刻度盘相差7.85毫米。两种测量方法的回收率均大于88%。实验结果表明,该无反射器全站仪可用于现场挠度测量和广泛的挠度/变形测量应用。
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