Lab 3

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Aerospace Engineering

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Dec 6, 2023

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Lab 3 Christian Hankins 9/27/2023 OLD DOMINION UNIVERSITY MAE 225 Solid Mechanics Lab II
Introduction: For this experiment we look at data from lab 1&2 that we got from the Aluminum specimen and use it to compare several different material characteristics that were calculated from the data. With the experimental data we are going to use the program MATLAB to plot both the experimental data and the calculated data found through using mathematical equations giving us the theoretical data. Plotting these we can also investigate how similar the experimental data is to the calculated data by using the line of best fit comparing the closeness of the slope of the two different data sets. Using equations such as RMS error we have an equation that is programmed into the code to give us the amount of similarity or difference in the two data sets. We are going to plot both the stress vs strain and the longitudinal strain vs transverse strain from this we can see what the Poisson’s ratio and the modulus of elasticity from these plots and how similar it is to the theoretical calculations from the program.
Stress Vs Strain: Code:
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Graph: Line of Best Fit Slope: m=69.6989 Line of Best Fit Y-int: b=-9.0396e-04 RMS Error:
0.0025 Longitudinal Strain Vs Transverse Strain: Code:
Graph: Line of Best Fit Slope: m=0.3271 Line of Best Fit Y-int: b=4.2182e-05 RMS Error:
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6.8078e-06 Results: P(kN) Lab 1&2 Lab 3 %Diff E(GPa) 69.995729 69.6989 0.57% v 0.2963 0.3271 9.88% Discussion: Completing this lab, we now know that we have different ways to find modulus of elasticity and Poisson’s ratio. It is clear that both methods in lab 1&2 and the methods in lab 3 are equally effective in solving for these important material characteristics. In the data we find that both the Poisson’s ratio and modulus of elasticity are eerily similar to the data found in the earlier lab 1&2. The percent difference in the two labs is some what marginal with the consideration of potential human errors and other unforeseen errors being possible. In this lab it is clear that when trying to confirm the materials characteristics it is imperative to run multiple different types of test on the material in different ways to see the variation in the results.