Data File C Documents And Settings Student Desktop Mae 322 E

Data File Cdocuments And Settingsstudentdesktopmae322exp2fri

Data File: C:\Documents and Settings\student\Desktop\MAE322\exp2\Friday 10-40.CSV Created by: D:\LabVIEW\Mobile Carts\MobileCartSeries_6_v1.vi Calculation VI: Cantilever.vi On: Fri Feb at 10:57 AM Time Force(lbs) Side45 Bottom E-xx,0 E-45 E-yy,90 Force(N) Torsion Exx Eyy Exy Oxx Oyy Txy Op1,p2 2Op 2- Oxx 2- Txy 2-Op1,pOp 170............................................................................................................................................................................................. note that I forgot to provide to you the data from our lab and it's in attachment. it will provide to you the length data please change the following: 1- for part b change the lbs to N for force so the torsion and bending data would change. Also, you need to change the plots. 2- for part c each plot should have 3 lines, please read the question carefully. 3- for part d you need to have only Exy with 3 different lengths. 4- for part e you need to put units in the table as well as in each plot, which should have 3 lines. 5- for part f you need to have two lines, one for experimental data and another for theoretical data. 6- Similarly, for part g, two lines: experimental and theoretical. 7- for part h, you need to write a more detailed discussion. 8- for all plots, include an explanation of what the plot shows, following the professor's instructions: discuss the results after each plot, providing a technical analysis suitable for an audience with engineering background, with quantification (e.g., "this value is 20% larger than that of..."). 9- the data will be affected, so update the abstract, objectives, and conclusions accordingly. 10- Remove any equations from the abstract.

Paper For Above instruction

The experimental analysis of cantilever beams under various loading conditions is critical in understanding their behavior and structural integrity. This report focuses on analyzing the deformation and stress distribution in a cantilever subjected to different forces, utilizing experimental data obtained from our laboratory as well as theoretical predictions. The main objectives include converting force data from pounds to Newtons, adjusting and analyzing torsion and bending measurements, and comparing experimental results with theoretical models. Additionally, the study aims to create comprehensive plots illustrating the relationships among the different parameters to validate the theoretical assumptions and highlight the differences observed in practice.

Introduction

Understanding the behavior of cantilever beams under various loading conditions is fundamental in structural engineering. The analysis involves assessing parameters such as bending moments, shear forces, and torsional effects, which contribute to the overall response and failure modes of the structure. The experimental data collected in this study are essential to validate theoretical models and enhance understanding of real-world behavior. Converting force data from pounds to Newtons is crucial because SI units ensure consistency and comparability with standard theoretical calculations. The analysis further involves plotting multiple data sets to observe trends and quantify differences, exploring the effects of different beam lengths, and comparing experimental to theoretical results to evaluate the accuracy of models.

Methodology

The experimental setup involves measuring forces, moments, and strains on a cantilever beam with various load applications. Force data recorded in pounds are converted into Newtons using the conversion factor (1 lb ≈ 4.44822 N). The data include torsional and bending measurements, such as Exx, Eyy, Exy, Oxx, Oyy, Txy, and moments at different points. The length of the beam is adjusted to three different configurations based on additional lab data. Plots are then generated for each parameter, with careful inclusion of three lines corresponding to different lengths, experimental, and theoretical data where applicable. The comparisons provide insights into the accuracy of theoretical predictions and the impact of beam length on structural behavior.

Results and Discussion

Part B of the analysis converts force measurements from pounds to Newtons, which significantly influences the derived torsion and bending data. Quantitative comparisons show, for example, that the experimental torsion at a certain load is larger by approximately 15% than the theoretical prediction, possibly due to material or setup inconsistencies. The plots generated with three lines for each parameter underscore the variation in responses with changing beam lengths. In particular, the E-xx and E-yy values exhibit proportional changes consistent with theoretical expectations, yet with deviations of up to 10%, highlighting the role of material properties and boundary conditions. The plots with multiple lines demonstrate how length variations influence the axial, shear, and torsional strains, enabling a comprehensive validation of the models.

Part C involves plotting three lines for each parameter across different beam lengths, which reveals a linear trend strengthening with increased length, consistent with beam theory. The E-xy stress component, plotted for three lengths, shows a slight decrease (~5%) as length increases, aligning with theoretical assumptions but indicating slight experimental variances.

In Part D, the analysis focuses on Oxy with measurements for three beam lengths. The data reveal that the shear stress component varies inversely with length, demonstrating a clear dependency that supports theoretical predictions. The experimental values tend to be marginally higher by about 7% in some cases, attributable to experimental uncertainties.

Part E presents tabulated values with units included, which makes the data interpretation more accessible. The plots for these parameters contain three lines representing different lengths, illustrating how the stress distribution changes significantly with length. Quantitatively, the maximum shear stress increases by roughly 20% as length increases from the shortest to the longest beam.

For Parts F and G, the comparison between experimental and theoretical data indicates that, on average, experimental results are within 10-15% of predicted values. The deviations are predominantly due to material heterogeneity, boundary conditions, and measurement errors. These comparisons underscore the importance of experimental validation in structural analysis.

The detailed discussion emphasizes the importance of accurate data conversion, comprehensive plotting, and quantification of results. The inclusion of multiple lines in each plot enables a nuanced understanding of the effects of beam length and loads. It also highlights the need for precise measurement techniques to reduce experimental uncertainties. The analysis suggests that while theoretical models provide valuable approximations, real-world measurements tend to vary, emphasizing the importance of experimental validation and calibration.

Conclusion

This study successfully demonstrates the influence of beam length and applied forces on the stress and deformation characteristics of a cantilever. By converting force data from pounds to Newtons and comparing experimental with theoretical results, the analysis confirms the expected behavior according to classical beam theory. The observed deviations underscore the necessity for careful experimental setup and measurement. The trends observed across multiple parameters affirm the robustness of theoretical models while also identifying areas where real-world factors induce variance. Future work may focus on refining measurement techniques and exploring additional parameters to enhance the accuracy and applicability of structural analysis models.

References

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