Project 2
Miguel De Gracia
CE 30
19481379
Project 2
Introduction:
The purpose of this project is to compute the shear and moment, V(x) and M(x) functions and
diagrams given a loading function, w(x), that is not easy to integrate. The beam will be fixed at
the wall and extend outward for a length of 10 meters. Due to the loading function being
complex it is difficult to determine where the resultant force will be felt on the beam, and with
the code such a step is not necessary.
Methodology:
I first started by labeling my unknowns: the length of the beam, the step size in which I will
apply Simpson’s rule, sigma, and my x inputs which I spaced linearly. Having completed this
step I then created the code in which the x inputs will be evaluated in the loading function and
then plotted for each of the different sigmas. My loading function has now been defined in a
matrix size 4x1000, 1000 being my number of x inputs, in which each row of w(x) pertains to a
given sigma. I then solve for the initial constants for each of the scenarios and change only the
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 Spring '08
 Patzek
 Derivative, Force, Shear, Sigma1 receptor

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