Roller bearings are subject to fatigue failure caused by large contact loads F.

Question

Roller bearings are subject to fatigue failure caused by large contact loads F. Suppose the problem of finding the location of the maximum stress along the x-axis is equivalent to maximizing the function below: f(x) = 0.4/Squareroot 1 + x^2 - Squareroot 1 + x^2 (1 - 0.4/1 + x^2) + x Find x that maximizes f(x) using: (a) graphical method (b) Newton's method (c) Golden-section search method When using the numerical methods (i.e., parts (b-(c), determine the optimum x at four significant digits accuracy or better.

Explanation / Answer

Matlab code for the following sum:
format long
fx = @(x) -(0.4/sqrt(1+x^2)-sqrt(1+x^2)*(1-0.4/ (1 +x^2))+x);
[x,f]=fminbnd(fx,0,2)

Output

x =

1.051859122727364

f =

-0.151724441480819

*I didnt understand what you want coz you have mentioned you want matlab code OR solution: so i prefer posting matlab code for the sum. Verify whether the answer is proper

*Have a good day :)

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