ORIGINAL Beam Graph with Applied Load
Beam 1
Beam 2
First, I graphed the deflection of Beam two, using the equations found on my work pages. With
those plugged into Desmos, I found the following graph:
Given this information I could find the displacement of point B at x=24 inches, which in my case
was -0.01682. I then used linear interpolation to include this value in the graph of beam one,
since the displacement of Beam 2 would have a direct effect on the displacement of Beam 1. The
equations for that graph can also be found in the loose work of my assignment. Those equations,
with the displacement of B included, yielded the following graph:
If we were curious on how including the displacement of Beam 2 affected the plot, the graph
below includes the equation without the linear interpolation taken into effect, shown in green and
purple.
Finally, to find the requested slope, I simply took the derivative of each of the deflection
equations and evaluated at each point. Each of these values can be found in the table below.
Point
Slope
A
0.00066
B
-0.00168
C
-0.0008
D
0.00057
Here is the link for my work in Desmos: https://www.desmos.com/calculator/j4xdwvt4mu