Question $4$: Complete the program.

$10$ Points

Complete the missing part of the following Python program to calculate the deflection of a simply supported beam under a point load. The program should prompt the user to enter the length of the beam, the width, the load applied, and the elasticity of the material. It should then use the following functions to perform the necessary calculations:

double calculateDeflection $(...)$: receive length, width, load and elasticity. Calculate and return deflection,

this function should call also the momentOfInertia $(...)$ function the receive length and width and calculate and return momentOfinertia.

Then, the result should be displayed using the following function:

void displayResult $(...)$: print the value of deflection.

Equations and Details:

Deflection of a simply supported beam under a point load:

$)3$

Where the moment of Inertia is calculated:

$)3$

$\backslash$table$[[$# Function to calculate the moment of Inertia$],[],[$# Function to calculate the deflection of a simply supported beam under$],[],[$Function to display the results$]]$

# Function main

def main$()$ :

# Get input from the user

length $=$ float $($input $("$Enter the length of the beam: $"))$

width $=$ float $($input $("$Enter the width of the beam: $"))$

load $=$ float$($input $("$Enter the load applied: $"))$

elasticity $=$ float$($input$("$Enter the elasticity of the material: $"))$

# Calculate deflection

# Display the result

$)$

Sample result:

Enter the length of the beam: $100$

Enter the width of the beam: $30$

Enter the load applied: $55$

Enter the elasticity of the material: $10500000$