Question: Write a MATLAB code for the following problem: Suppose you have a cantilever bar having a random ( let ' s assume standard normal )

Write a MATLAB code for the following problem: Suppose you have a cantilever bar having a random (let's assume standard normal) rigidity EA (let's call it D in the code) throughout its length. It is divided into n elements using the finite element method. A constant distributed horizontal load q is applied along the bar. I want to find the displacement u at the free end of the bar, and the probability that it exceeds a limit "u_lim". The methods used are: Markov-Chain Monte Carlo (MCMC), Sequential Importance Sampling (SIS), Line Sampling (LS), Cross-Entropy (CE), Exponential Tilting (ET) and finally the First Order Reliability Method (FORM). Write a code that simulates each method for the same cantilever bar. This is not for an exam, it is for learning how to code structural reliability methods. Please be detailed in the code.

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