MEEN 260 MEEN260 Lab 3 MEMO – Texas A&M

Description

MEEN 260 MEEN260 Lab 3 MEMO – Texas A&M

MEEN 260 Section 508 March 20, 2019 1

To: MEEN 260 Teaching Assistant

From: William Blake Moore WBM

Subject: Lab 03: Strain Gauge Measurements

Summary

In the lab, Lab 03: Strain Gauge Measurements, was performed to gain an understanding of how to use strain gauges and bridge circuits, to develop a real-life purpose for strain gauges, illustrate the deflection of cantilever beams in

free vibration, how to incorporate strain gauges with other hardware and software, to develop a way to use strain gauges to find unknown values, and gain an in-depth knowledge of different systems involved with strain gauges.

The virtual instrument (VI) that was used outputs the strain as a displacement reading. The dimensions of the beam were recorded and the equivalent mass determined. With the strain gauge connected to the appropriate hardware and a laptop, a quarter bridge Wheatstone circuit was created.

Gentle taps to the end of the cantilever beam were used to imitate an applied force touching and releasing from the beam creating vibrations. These vibrations created a decaying sinusoidal wave that was measured with the strain gauge and the VI.

The amplitude of these waves (the output readings) were the displacement values from the original position. Next, the value of an unknown weight was to be determined based on the strain measurements for a number of known weights. A regression was preformed to create a “line-of-best-fit” for the data.

With the regression analysis, a predicted value for the unknown weight was found. The results of this lab were found with many calculations from the theory and assumption that the beam resembled a spring-mass system.

The theoretical and experimental frequencies were found, the dampening ratio for the experimental frequency was calculated, a 95% confidence interval for the true value of the experimental frequency was determined, a paired t-test

was used to discover if the mean frequency from different trials were different, and a linear regression was performed to find the value of an unknown mass.

These results prove that the actual frequency is different than the theoretical frequency due to real world force that are considered with the dampening ratio. They also prove that the actual frequency will be similar from one trial to the next.

The regression verifies that the relationship between strain and mass is linear, and that an unknown value can be calculated with aid from a strain gauge.

Introduction

The lab, Strain Gauge Measurements, is used to show strain gauges and bridge circuits in reality, use strain gauges in accordance with predeveloped software and hardware, and to analyze the free vibrations of a cantilever beam via a strain gauge.

The lab takes you through these objectives by analyzing the graphs produced by the data from the vibrations of the cantilever beam recorded by the strain gauge and its subsequent software, statistical tests used to prove that the

frequency is not random and is reproducible, and the use of a regression to determine an unknown mass with a strain gauge assuming linearity.

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