1. Consider the problem shown and described in the figure (above): (a) create bending moment diagrams (i.e., separate plots) for segments A-B and B-C of the beam. (b) What is the distance, a, that...

1. Consider the problem shown and described in the figure (above): (a) create bending moment diagrams (i.e., separate plots) for segments A-B and B-C of the beam. (b) What is the distance, a, that will minimize the absolute value of the bending moment in the beam? (c) For that value of a (derived in part b) what is the corresponding maximum normal stress due to bending? 2. Consider a situation where the magnitude of the distributed load is changed, while every other detail from part 1 remains the same. Plot the value of the maximum normal stress due to bending as a function of distributed load. Do so for the range of 1 kips/ft to 100 kips/ft. Note: when generating your plots, keep the step size relatively small, so your line is smooth (ex: 1:0.1:100). 3. Consider a situation where the magnitude of the section modulus is changed, while every other detail from part 1 remains the same. Plot the value of the maximum normal stress due to bending as a function of section modulus. Do so for the range of 1 in3 to 1000 in3 . Note: when generating your plots, keep the step size relatively small, so your line is smooth (ex: 1:0.1:100). 4. Consider a situation where the length of the beam is changed, while every other detail from part 1 remains the same. Plot the value of the maximum normal stress due to bending as a function of beam length. Do so for the range of 12 in to 1200 in (or 1 ft to 100 ft). Note: when generating your plots, keep the step size relatively small, so your line is smooth (ex: 12:0.1:1200). NOTE: Your submission should be one (1) zip folder. The folder should contain your MATLAB or Python script and a PDF report with the answers, outputs, and plots requested in the problem statement (above). Your MATLAB/Python script, the PDF report, AND the folder should be named as follows: “LastName_FirstName_CA2_MEM230”.