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final_proj_group11 Problem 1 Problem 2 Problem 3 Problem 4
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final_proj_group11

Problem 1

Used functions/scripts:

a. shape_simple_support.m, PlotSSS.m

b. montecarlo.m

q versus maximum deflection

Problem 2

Used functions/scripts:

a-d: CDM.m, plotCDM_Part_2.m

q versus maximum deflection for various N

e: The script plotCDM_Part_2.m calls the function CDM.m (documented in help file) to generate deflection values for the given set of values of q, plots them against the q values

Problem 3

Used functions/scripts:

a-d: CDM.m, plotCDM_Part_3.m

q versus maximum deflection for various N and P

Problem 4

Used functions/scripts:

a-d: egv.m, defl.m, solveODE.m

6 Segments -- called with egv(6,0) -- all in hz

First Natural Frequency Second Natural Frequency Third Natural Frequency
141.7854 529.1503 1.0583e+03

10 Segments -- called with egv(10,0) -- all in hz

First Natural Frequency Second Natural Frequency Third Natural Frequency
143.8803 561.4373 1.2118e+03

20 Segments -- called with egv(20,0) -- all in hz

First Natural Frequency Second Natural Frequency Third Natural Frequency
144.7715 575.5213 1.2816e+03

e.

NEW BEAM POSITION!!

note: We couldn't analytically solve for the initial conditions for the first and third derivatives (or they were not given), so this is what we got.