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Project 2 Write Up - specified sigma I then plot all each...

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Project 2 Miguel De Gracia CE 30 19481379 Project 2 1. Introduction The purpose of this assignment is to calculate the shear and moment functions for a bar that has been fixed and has an applied load w(x). The project will facilitate in determining the shear and moment diagrams for the bar is the load applied is not uniform. We will use integration techniques on MATLAB and solve for the shear function, V(x), and the moment equation M(x). 2. Methodology I first created the matrix w, in which the rows of w are the different sigmas specified in the problem. After obtaining this matrix w, I used Simpson’s Rule as the method of integration to integrate w and get V. I did this four times and created now matrix V. I use the same process again and create the matrix M, in which the rows are the values for that
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Unformatted text preview: specified sigma. I then plot all each row vs the x axis on the same graph and obtain the figures shown below. 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 w(x) for various sigma x w(x) sigma 5 sigma 1 sigma 0.1 sigma 0.001 3. Observation and Discussion The Loading diagram, w(x): The Shear diagram, V(x): The Moment diagram, M(x): 4. Conclusion Normally, in order to solve such a problem we would find the resultant force the beam would feel and the location in which it is felt. However, the applied load distributions were much easier. When given a function, this process is not as easy and clear. This project focused on still solving for the shear and moment diagrams effectively while having a function that’s not as easy to integrate in order to solve the problem....
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