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3. the following equation can be used to model the deflection...

# Question: the following equation can be used to model the deflection...

###### Question details

The following equation can be used to model the deflection of a sailboat mast subject to a wind force:

= (L-z)

Where E is the modulus of elasticity, L is mast length, I the second moment of area and f(z) is the wind force depending on the height z and is given by:

f(z) = =

Calculate the deflection of the mast using the 4th order Runge-Kutta method with y=0 and y'=0 at z=0. Perform the first analysis with n divisions of the length L to define the step (see the table below for your assigned value of n). Repeat the analysis with twice the number of divisions(i.e 2n divisions) and produce a graph of the deflection and curvature vs. the height for the two cases.

 Data Set E(N/m²) I(m⁴) L(m) Number of Divisions, n 1 1.08E+08 0.05 29 6 2 1.34E+08 0.03 42 7 3 1.18E+08 0.04 41 8 4 1.01E+08 0.05 36 9 5 1.25E+08 0.06 24 10 6 1.32E+08 0.07 41 6 7 1.50E+08 0.08 19 7 8 1.05E+08 0.04 39 8 9 1.10E+08 0.05 14 9 10 1.44E+08 0.06 35 10 11 1.05E+08 0.04 40 11 12 1.10E+08 0.06 36 9 13 1.05E+08 0.07 28 8 14 1.25E+08 0.05 30 12