EGR 103/Fall 2019/Minilab 3

• Problem 2.5.1
  • To load data froman Excel file with headers:

import pandas
 
# %% Load data
edata = pandas.read_excel("file.xlsx")
col_1_stuff = edata.values[:, 0].copy()
col_2_stuff = edata.values[:, 1].copy()

• Python:Plotting
• Python:Interpolation
• Python:Extrema
• scipy.interpolate.CubicSpline¶ at docs.scipy.org

• Problem 2.5.2
  • scipy.integrate.simps at docs.scipy.org
  • Note that the denominator in the line of action calculation is $$f_t$$, which you already calculated.
  • If you want to see a graph of the cross section (i.e. Figure 19.9(b)), assuming you call the height above the bottom $$z$$ and the width at that height $$wz$$, you can add the following code:

fig = plt.figure(num=1, clear=True)
ax = fig.add_subplot(1, 1, 1)
zval = np.block([z[::-1], z[:]])
wval = np.block([-wz[::-1] / 2, wz[:] / 2])
ax.plot(wval, zval, "k-")
ax.axis("equal")

• Problem 2.5.3
  • scipy.integrate.trapz at docs.scipy.org
  • scipy.integrate.simps at docs.scipy.org
  • Since $$n$$ goes from 2 to 30, it is not exactly what you need for an index to an array...think carefully about how to store things.

• Problem 2.5.4
  • [1] at matplotlib.org
  • Python:Extrema
  • Python:Finding roots