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Math · Advanced Math
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The following equation can be used to model the deflection of a sailboat mast subject to a wind force:XAAAAABJRU5ErkJggg== = gAAAABJRU5ErkJggg== (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) = DTaSN7Y3JX7QhyYIcddU673kGY9DgDTykasxjAOG = GTSeN0Fd+wAAAAAElFTkSuQmCCCalculate 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

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