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This experiment was conducted to assess the quality and condition of different types of metal beams, namely aluminum, rectangular copper, square copper, and an unknown material. The objective was to measure the difference in stress and strain among these beams using a dial caliper. Additionally, the experiment aimed to identify the unknown material used for one of the beams, calculate the slope of the Deflection vs. Force graph for the Rectangular Beam of Unknown Material, and determine Young's Modulus.
The context for this lab is a commercial real estate firm's interest in reclaiming materials from abandoned industrial buildings for reuse in new construction projects.
To make informed decisions, the firm needs to assess the condition of these materials. This report presents the experimental results, data analysis, conclusions, recommendations, and references related to the lab.
The experiment involved measuring deflection on various metal beams under load. The following observations and results were obtained:
Possible sources of error included structural swinging and variations in the weight of the loads.
force was created. The slope of the graph was calculated, leading to a Young's Modulus value of 2710832.922 lbf/in^2, which closely matched steel.
It was expected that the data would follow a linear pattern, as indicated by the theoretical deflection equation:
σ=FS^2(3L-S)/6EI
Where:
Since the equation simplifies into a linear form, the theoretical graph was expected to be linear. The measured values closely matched the theoretical values, resulting in relatively low percent errors. This indicated that the results closely aligned with the theoretical values based on measurements.
Based on the experimental data and analysis, the following conclusions and recommendations can be made:
In summary, the measurements taken in this experiment were generally accurate, with the highest percent error being 16%. The linear correlation in the data and the close alignment of measured and theoretical values indicate the reliability of the results. Reducing potential sources of error, such as verifying weight consistency and standardizing the tapping process, could further improve accuracy.
Using the equation:
δ = F(S^2(3L-S))/6EI
Where:
We rearranged the equation to calculate Young’s Modulus:
E = (S^2(3L-S))/6Im
Given values:
Young’s Modulus calculation:
E = ((7.5 in)^2(3(8.75 in)-(7.5 in))/(6(0.08)(8.1055E-4 in^4)))
E ≈ 2710832.922 lbf/in^2
After researching online, the material's Young’s Modulus closely matches that of steel.
Materials Testing Lab Report. (2024, Jan 04). Retrieved from https://studymoose.com/document/materials-testing-lab-report
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