Problem 5.55 - Thermal Deformation
[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="249"
L=reactive.Value("__")
d=reactive.Value("__")
t=reactive.Value("__")
h=reactive.Value("__")
dT=reactive.Value("__")
E=200
v=0.32
a=11.7*10**-6
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 MPa", 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"Bars AB and BC are pinned at joint B. Both bars are made from the same material with E = 200 GPa, v = 0.32, and a = 11.7 x 10<sup>-6</sup> /°C. Dimensions L = {L()} mm, t = {t()} mm, h = {h()} mm, and d = {d()} mm. If both bars are heated by {dT()} °C, determine the shear stress generated in the pin at B.")]
@reactive.Effect
@reactive.event(input.generate_problem)
def randomize_vars():
random.seed(input.ID())
L.set(random.randrange(300, 900, 10))
t.set(random.randrange(30, 80, 1))
h.set(t()/2)
d.set(round(t()/3,2))
dT.set(random.randrange(10, 40, 1))
@reactive.Effect
@reactive.event(input.submit)
def _():
attempt_counter.set(attempt_counter() + 1) # Increment the attempt counter on each submission.
deltaM = a*dT()*(t()/1000)*(h()/1000)*E*10**9
instr= (deltaM/(math.pi*(d()/2000)**2))/10**6
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)