Use the following formula to determine beam deflection at any point $x$ along

the length of the beam:

$d=\frac{F{x}^2}{6EI}(3L-x)$

Where:

$E$ is Young's modulus of elasticity. $($Use a value of $210.)$

I is the Area moment of inertia. $($Use a value of $500.)$

$L$ is the length of the beam in feet.

$F$ is the weight Force exerted at the end of the beam in pounds.

Use the following formula and the assumed values above to determine the

maximum deflection which will occur at the end of the beam:

$d_{\text{m}\text{a}\text{x}}=\frac{F{L}^3}{3EI}$

Write a C$++$ program that prompts the user for the length of the beam and

the weight load at the end of the beam.Your program will display the deflection of the beam at $1-$foot intervals from

the wall anchoring the beam for each foot from the wall until the end of the

beam. The program will also calculate and display the maximum deflection.

Example Output:

Enter the Beam Length: $10$

Enter the Weight: $500$

The deflection at $1$ feet is $0\mathrm{.}0230$

The deflection at $2$ feet is $0\mathrm{.}0889$

The deflection at $3$ feet is $0\mathrm{.}1929$

The deflection at $4$ feet is $0\mathrm{.}3302$

The deflection at $5$ feet is $0\mathrm{.}4960$

The deflection at $6$ feet is $0\mathrm{.}6857$

The deflection at $7$ feet is $0\mathrm{.}8944$

The deflection at $8$ feet is $1\mathrm{.}1175$

The deflection at $9$ feet is $1\mathrm{.}3500$

The deflection at $10$ feet is $1\mathrm{.}5873$

Maximum deflection is $1\mathrm{.}5873$