# ENGR-108 Lab on Regression, Young’s Modulus Vs Temperature In mechanics of materials, Young’s…

ENGR-108 Lab on Regression, Young’s Modulus Vs Temperature In mechanics of materials, Young’s…

ENGR-108 Lab on Regression, Young's Modulus Vs Temperature In mechanics of materials, Young's Modulus is a very important property. The Young's modulus (E) usually decreases as temperature increases. The vectors below lists the Young's moduli of a metal under various temperatures in a series of uniaxial tensile tests. T- [ 33, 144, 255, 366,477, 589, 700, 811, 922]: Temperature (K) 1220213, 206, 199, 192, 185, 167, 141, 1051: Young's Modulus (G In computer simulations of stress analysis, one needs to input the Young's modulus as a polynomial function of temperature, for example E(t) = co + CiT + c2T2 + Prepare a MatLab script to find the polynomial equations for degree 1, 2, and 3 that fit the data above. Use newT – 0:50:1000 for the new T values to smooth the curves. Use a “for loop” to determine the 3 resultant: 1. polynomial coefficients 2. plotting of the data 3. displaying the “curve fit” error. Display the coefficients for each of the 3 polynomials. Plot each of the 3 different curves using subplots. Plot the initial data on each subplot as well using o markers only. Display the “curve fit” error for each fit. Which polynomial best fit the data? Why? Appendix Young's modulus, which is also known as the elastic modulus, is a mechanical property of linear elastic solid materials. It defines the relationship between stress (force per unit area) and strain (proportional deformation) in a material. Young's modulus is named after the 19th- century British scientist Thomas Young
Apr 06 2022 12:57 PM

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