Problem 5.33 - Deformation in Systems of Bars

Picture with a 24 in long horizontal rod supported by two wires. Wire A is 6 in long and occurs at the left end of the rod. Wire B is 12 in long and occurs 16 in from the left end. Two forces F1 and F2 are applied at 8 in and 24 in from the left end, respectively. [Problem adapted from © Kurt Gramoll CC BY NC-SA 4.0]

#| standalone: true
#| viewerHeight: 600
#| components: [viewer]

from shiny import App, render, ui, reactive
import random
import asyncio
import io
import math
import string
from datetime import datetime
from pathlib import Path

def generate_random_letters(length):
    # Generate a random string of letters of specified length
    return ''.join(random.choice(string.ascii_lowercase) for _ in range(length))  
problem_ID="189"
F1=reactive.Value("__")
F2=reactive.Value("__")
AA=reactive.Value("__")
AB=reactive.Value("__")
EA=reactive.Value("__")
EB=reactive.Value("__")
  
attempts=["Timestamp,Attempt,Answer,Feedback\n"]

app_ui = ui.page_fluid(
    ui.markdown("**Please enter your ID number from your instructor and click to generate your problem**"),
    ui.input_text("ID","", placeholder="Enter ID Number Here"),
    ui.input_action_button("generate_problem", "Generate Problem", class_="btn-primary"),
    ui.markdown("**Problem Statement**"),
    ui.output_ui("ui_problem_statement"),
    ui.input_text("answer","Your Answer in units of degrees", placeholder="Please enter your answer"),
    ui.input_action_button("submit", "Submit Answer", class_="btn-primary"),
    ui.download_button("download", "Download File to Submit", class_="btn-success"),
)

def server(input, output, session):
    # Initialize a counter for attempts
    attempt_counter = reactive.Value(0)

    @output
    @render.ui
    def ui_problem_statement():
        return[ui.markdown(f"Two loads, F<sub>1</sub> = {F1()} lb and F<sub>2</sub> = {F2()} lb are applied to a rigid horizontal rod that is supported by two wires. Wire A has cross-sectional area A<sub>A</sub> = {AA()} in.<sup>2</sup> and elastic modulus E<sub>A</sub> = {EA()}x10<sup>6</sup> psi. Wire B has cross-sectional area A<sub>B</sub> = {AB()} in.<sup>2</sup> and elastic modulus E<sub>B</sub> = {EB()}x10<sup>6</sup> psi. Determine the angle of rotation after the loads are applied")]
    
    @reactive.Effect
    @reactive.event(input.generate_problem)
    def randomize_vars():
        random.seed(input.ID())
        F1.set(random.randrange(200,800,10))
        F2.set(random.randrange(200,800,10))
        AA.set(random.randrange(5,10,1)/100)
        AB.set(random.randrange(2,5,1)/100)
        EA.set(random.randrange(15,25,1))
        EB.set(random.randrange(5,14,1))
        
    @reactive.Effect
    @reactive.event(input.submit)
    def _():
        attempt_counter.set(attempt_counter() + 1)  # Increment the attempt counter on each submission.
        FB = (F1()*8+F2()*24)/16
        FA = F1()+F2()-FB
        delB = FB*12/(EB()*10**6*AB())
        delA = FA*6/(EA()*10**6*AA())
        delta = delB-delA
        instr = math.atan(delta/16)*180/math.pi
        
        if math.isclose(float(input.answer()), instr, rel_tol=0.01):
            check = "*Correct*"
            correct_indicator = "JL"
        else:
            check = "*Not Correct.*"
            correct_indicator = "JG"

        # Generate random parts for the encoded attempt.
        random_start = generate_random_letters(4)
        random_middle = generate_random_letters(4)
        random_end = generate_random_letters(4)
        encoded_attempt = f"{random_start}{problem_ID}-{random_middle}{attempt_counter()}{correct_indicator}-{random_end}{input.ID()}"

        # Store the most recent encoded attempt in a reactive value so it persists across submissions
        session.encoded_attempt = reactive.Value(encoded_attempt)

        # Append the attempt data to the attempts list without the encoded attempt
        attempts.append(f"{datetime.now()}, {attempt_counter()}, {input.answer()}, {check}\n")

        # Show feedback to the user.
        feedback = ui.markdown(f"Your answer of {input.answer()} is {check}.")
        m = ui.modal(
            feedback,
            title="Feedback",
            easy_close=True
        )
        ui.modal_show(m)

    @session.download(filename=lambda: f"Problem_Log-{problem_ID}-{input.ID()}.csv")
    async def download():
        # Start the CSV with the encoded attempt (without label)
        final_encoded = session.encoded_attempt() if session.encoded_attempt is not None else "No attempts"
        yield f"{final_encoded}\n\n"
        
        # Write the header for the remaining CSV data once
        yield "Timestamp,Attempt,Answer,Feedback\n"
        
        # Write the attempts data, ensure that the header from the attempts list is not written again
        for attempt in attempts[1:]:  # Skip the first element which is the header
            await asyncio.sleep(0.25)  # This delay may not be necessary; adjust as needed
            yield attempt

# App installation
app = App(app_ui, server)