Don’t worry about plotting the mutual influence coefficients (i.e., nxy,x).

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Nov 7, 2022


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Part 1:
Codes MUST be .m files
Using MATLAB, recreate a figure similar to Figure 2.11 in Jones using the material properties of Glass-Epoxy found in the virtual lab. Don’t worry about plotting the mutual influence coefficients (i.e., nxy,x). Keep your focus on the stiffness ratio’s (on the left axis) and Poisson’s ratio on the right axis. Download and study the attached MATLAB script (Module3HomeworkPart1_Template-1.mDownload Module3HomeworkPart1_Template-1.m ). Use it as your template for this assignment. Study it first to learn details of how for-loops, functions, and arrays are implemented in this example. Then fill in the functions as noted with the required equations. It is suggested that you try to recreate Figure 2.11 using those material properties first. This will then validate your equations. Then insert the properties of Glass-Epoxy given in the lab to generate a new figure. This will enable you to create a discussion to accompany the experimental results.
Part 2:
In this exercise, we want to explore the response of the orthotropic lamina investigated in problem 1. Using MATLAB, plot the three elements of the strain vector when the above material is oriented at (1) 0o and (2) at 30o. This is accomplished by incrementally applying a stress (i.e., 5 psi, 10 psi, and so on) and then determining the strain vector at each step. Do this for the following load conditions:
(1) a load applied in the one direction
(2) a biaxial load is applied.
Start with some small number and then increase until you can make a reasonable plot. Note: two points do not make a reasonable plot.
Download and study the attached MATLAB script (Module3HomeworkPart2_Template.mDownload Module3HomeworkPart2_Template.m). It has almost all of the functionality required to complete this part of the assignment. Use it as your template for this assignment. Pay particular attention to the comments. Then fill in the function as noted with the required equations. This attachment (ESCI_325_ReduceStiffnessExampleResults-1-1.pdfDownload ESCI_325_ReduceStiffnessExampleResults-1-1.pdf) has results for Qbar when using the default material properties provided in the template and theta is equal to 0 and 30 degrees. It would be good to compare your results to these before addressing the assignment. Take note that at 0 degrees [Q] = [Qbar]. Since this is the case it would be a good thought experiment to work through as to what Qbar enables.


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