Please write my matlab code for CEE $2219$B

MATLAB exercise Consider sectioning your code. Debug your

code! Add comments.

Question $1$: Suppose we have a supported beam with a uniformly distributed load. The deflection $($y$)$ of the beam at any point x along its length can be approximated by the following equation:

y$($x$)=$ W$0/120$EIL$(-5$x$^2=2$L$^2$x$^3-$L$^4$x$)$

Where W$0$ is the uniformly distributed load $($force per unit length$),$ E is Young$$s modulus of

the material, I is the moment of inertia of the beam$$s cross$-$sectional area, L is the length of the

beam, and x is the distance along the beam.

PART A:

Write a MATLAB function to calculate the deflection for value$($s$)$ of x$.$ Input in the code W$0=2\mathrm{.}5$ KN$/$cm$,$ E$=50,000$ KN$/$cm$^2,$ I$=30,000$ cm$^4,$ and L$=600$ cm$.$ Enable the code to:

$$ calculate the deflection

$$ determine the maximum deflection and maximum deflection locations using MATLAB$$s

built$-$in function $$min$.$ The $$min$$ function in MATLAB returns the minimum value and

the index where that minimum value occurs in the input vector $($for more information help

min command$).$

syntax: $[$min$\_$value, index$]=$min$($variable name of the array containing all values$)$

Note that deflection values are negative numbers, and the max deflection $=$min value.

$$ use the index $($from the above output$)$ to identify the location of maximum deflection of

vector x$.$

Example vector x contains $5$ data points, then write a code to find the data that is stored in

row $2($in this case index$=2)$

$$ x$=[2,3,5,7,9]$; then x$(2)=3$

$$ plot the deflection y$($x$)$ along the length of the beam

$$ mark the point of maximum deflection on the plot

PART B:

Call the function you build in a$,$ and evaluate the function for x values ranging from $0$ to L

with a step size $10.$

Publish the code in a$,$ the function call in b and the corresponding outputs. The code should

provide an array of deflection, an array of maximum deflection, an array of locations of

maximum deflection, a plot of y vs x and a mark showing the point of maximum deflection on

the plot.

Hint:

$$ Use MATLAB$$s plot function to mark the point of max deflection $($use maximum

deflection value and location as inputs$)$

$$ Consider adding deflection, maximum deflection and location of maximum deflection

as the function output variables.

Question $2$

PART A:

In this case, modify the Matlab function you built$-$in question one and enable it to work for

any deflection equation $($function$),$ any value of x and any value of the constants $($L$,$ E$,$ I, L

and W$0).$ Save this function using a different file name.

PART B:

Call your newly built deflection function and calculate the deflection, maximum deflection and

point of maximum deflection of the below uniformly distributed load

y$($x$)=-$W$0/48$EI$(2$x$^4-3$Lx$^3+$L$^3$x$)$

L $=300$ cm$,$ E $=52,000$ kN$/$ cm$^2,$ I $=32,000$ cm$^4,$ W$0=4$ KN$/$cm$,$ and x values range from $0$ to L with a step size of $10.$

Note that:

$$ Functions can be called either in a command window or by creating a new script file

$$ See lecture $8$ for reference on how to pass a function as an input $($anonymous function$)$

Please write all these codes.