Problem 6.30 - Statically Indeterminate Torsion

[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="292"
T=reactive.Value("__")
d1=reactive.Value("__")
d2=reactive.Value("__")
L1=reactive.Value("__")
L2=reactive.Value("__")
Gn = 11.4e6
Ga = 4e6

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 psi", 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"A shaft is fixed between two walls. One portion is made from nickel (G<sub>nickel</sub> = 11.4 x 10<sup>6</sup> psi) with a diameter of d<sub>1</sub> = {d1()} in. The other portion is aluminum (G<sub>aluminum</sub> = 4 x 10<sup>6</sup> psi) with a diameter of d<sub>2</sub> = {d2()} in. A torque T = {T()} lb-ft is applied at the point where the two materials meet. If lengths L<sub>1</sub> = {L1()} ft and L<sub>2</sub> = {L2()} ft, what is the maximum shear stress in the shaft?")]
    
    @reactive.Effect
    @reactive.event(input.generate_problem)
    def randomize_vars():
        random.seed(input.ID())
        d1.set(random.randrange(10, 60, 1)/10)
        d2.set(round(d1()*2, 2))
        T.set(random.randrange(500, 2000, 100))
        L1.set(random.randrange(4, 20, 2))
        L2.set(L1()/2)
        
    @reactive.Effect
    @reactive.event(input.submit)
    def _():
        attempt_counter.set(attempt_counter() + 1)  # Increment the attempt counter on each submission.
        Jn = (math.pi/2)*(d1()/2)**4
        Ja = (math.pi/2)*(d2()/2)**4
        TN = T()*12*L2()*12*Gn*Jn/(L1()*12*Ga*Ja+L2()*12*Gn*Jn)
        TA = T()*12-TN
        tauA = TA*d2()/2/Ja
        tauN = TN*d1()/2/Jn
        if tauA>=tauN:
            instr = tauA
        else:
            instr = tauN
        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)