Lab 8

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Old Dominion University *

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225

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Aerospace Engineering

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Dec 6, 2023

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Lab 8 Christian Hankins 11/14/2023 OLD DOMINION UNIVERSITY MAE 225 Solid Mechanics Lab II

Introduction: The objective of this lab is to analyze the beam bending theory via multiple strain gauges across the specimen. Specifically, the focus was on simple beam theory, where the beam experiences pure bending with zero shear force. Strain gauges, a total of 14, were integrated into the beam and connected to the strain machine. The experiment involved recording normal strain values from each strain gauge through a data acquisition system linked to computer software. Subsequently, theoretical stress and theoretical strain were calculated based on the collected data. This laboratory exercise enhanced our comprehension of beam theory, providing practical insights into its application.

RAW DATA:

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MODIFIED DATA TABLE:

SAMPLE CALCULATIONS:

GRAPHS: 2000lb: 4000lb:

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QUESTIONS: . Simple beam theory predicts the existence of neutral axis or plane, at the centroid of the beam cross section. Do the experimental results show this to be true? Why? 1) Simple beam theory predicts existence of neutral axis or plane, at the centroid of the beam cross section. Do the experimental results show this to be true? Why? I would say that the results would show that the beam theory is very much true. The strain gauges at the centroid of the beam show very too little amounts of change in strain. 2) Discuss the validity of the assumption made in beam theory in terms of your experimental results? The assumption that the centroid of central axis will exhibit a neutral behavior was correct in the experimental data and calculations.

3) What fraction of yield stress did the specimen endure? E*0.002 10000*0.002 =20 ksi DISSCUSSION: In this experiment, we successfully validated the beam theory, demonstrating that our strain results closely mirrored the anticipated effects along the central axis. Notably, the centroidal strain gauges recorded virtually identical values. The percent differences in our strain measurements averaged around 99%, indicating a high level of accuracy for this experimental setup. This confirms the clear connection between bending moment and elastic testing in beams.

REFERENCES: MAE 225 Lab Manual

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Lab 8

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