Combined Stress, Principal Stress, and Mohr’s Circle Quiz
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//Question1
//Define Variables
var onesigmax, onesigmay, onetau
//Assigns Random Integers
onesigmax = (Math.floor(Math.random()*8)+1)*10
onesigmay = (Math.floor(Math.random()*8)+1)*10
onetau = (Math.floor(Math.random()*8)+1)*10
//find principal stresses
onecenter = (onesigmax + onesigmay)/2;
oner = Math.sqrt(Math.pow((onesigmax-onesigmay)/2,2)+Math.pow(onetau,2));
onesigmaone = onecenter + oner;
onesigmatwo = onecenter - oner;
oner1 = Math.sqrt(Math.pow((onesigmax-onesigmay)/2,1)+Math.pow(onetau,1));
onesigmaone1 = onecenter + oner1;
onesigmatwo1 = onecenter - oner1;
oner2 = Math.sqrt(Math.pow((onesigmax+onesigmay)/2,2)+Math.pow(onetau,2));
onesigmaone2 = onecenter + oner2;
onesigmatwo2 = onecenter - oner2;
onecenter3 = (onesigmax - onesigmay)/2;
onesigmaone3 = onecenter3 + oner;
onesigmatwo3 = onecenter3 - oner;
//Answer Choices
onecorrectanswer = "\u03c3\u2081 = " + onesigmaone.toFixed(1).replace(/\.?0+$/,"").toString() + " ksi, \u03c3\u2082 = " + onesigmatwo.toFixed(1).replace(/\.?0+$/,"").toString() + " ksi"
oneanswer1 = "\u03c3\u2081 = " + onesigmaone1.toFixed(1).replace(/\.?0+$/,"").toString() + " ksi, \u03c3\u2082 = " + onesigmatwo1.toFixed(1).replace(/\.?0+$/,"").toString() + " ksi"
oneanswer2 = "\u03c3\u2081 = " + onesigmaone2.toFixed(1).replace(/\.?0+$/,"").toString() + " ksi, \u03c3\u2082 = " + onesigmatwo2.toFixed(1).replace(/\.?0+$/,"").toString() + " ksi"
oneanswer3 = "\u03c3\u2081 = " + onesigmaone3.toFixed(1).replace(/\.?0+$/,"").toString() + " ksi, \u03c3\u2082 = " + onesigmatwo3.toFixed(1).replace(/\.?0+$/,"").toString() + " ksi"
//Place Answer Choices into Array
oneanswerchoices = [oneanswer1, oneanswer2, oneanswer3, onecorrectanswer];
//Randomize Answer Choices
do {
var indexa = Math.floor(Math.random()*oneanswerchoices.length);
var indexb = Math.floor(Math.random()*oneanswerchoices.length);
}
while (indexb == indexa);
do {
var indexc = Math.floor(Math.random()*oneanswerchoices.length);
}
while (indexc == indexa || indexc == indexb);
do {
var indexd = Math.floor(Math.random()*oneanswerchoices.length);
}
while (indexd == indexa || indexd == indexb ||
indexd == indexc);
onea = oneanswerchoices[indexa];
oneb = oneanswerchoices[indexb];
onec = oneanswerchoices[indexc];
oned = oneanswerchoices[indexd];
if (indexa == 3) {
onecorrectchoice = "a"
}
if (indexb == 3) {
onecorrectchoice = "b"
}
if (indexc == 3) {
onecorrectchoice = "c"
}
if (indexd == 3) {
onecorrectchoice = "d"
}
//Qeustion 1 Question
question1 = "1. Find the principal stresses for an element with \u03C3(x) = " + onesigmax.toString() + " ksi, \u03C3(y) = " + onesigmay.toString() + " ksi, and \u03C4(xy) = " + onetau.toString() + " ksi."
//Question2
//Define Variables
var twosigmax, twosigmay, twotau
//Assigns Random Integers
twosigmax = (Math.floor(Math.random()*8)+1)*10
twosigmay = (Math.floor(Math.random()*8)+1)*10
twotau = (Math.floor(Math.random()*8)+1)*10
//find max shear stress, and angle
twotaumax = Math.sqrt(Math.pow((twosigmax-twosigmay)/2,2)+Math.pow(twotau,2));
twotheta = 0.5*Math.atan((2*twotau)/(twosigmax-twosigmay))*180/Math.PI;
twotaumax1 = Math.sqrt(Math.pow((twosigmax-twosigmay)/2,2)+Math.pow(twotau,2));
twotheta1 = 0.5*Math.atan((2*twotau)/(twosigmax+twosigmay))*180/Math.PI;
twotaumax2 = Math.sqrt(Math.pow((twosigmax+twosigmay)/2,2)+Math.pow(twotau,2));
twotheta2 = 0.5*Math.atan((2*twotau)/(twosigmax-twosigmay))*180/Math.PI;
twotaumax3 = Math.sqrt(Math.pow((twosigmax+twosigmay)/2,2)+Math.pow(twotau,2));
twotheta3 = 0.5*Math.atan((2*twotau)/(twosigmax+twosigmay))*180/Math.PI;
//Answer Choices
//correct answer
twocorrectanswer = "\u03c4max = " + twotaumax.toFixed(3).replace(/\.?0+$/,"").toString() + " ksi, \u0398 = " + twotheta.toFixed(3).replace(/\.?0+$/,"").toString() + " degrees."
twoanswer1 = "\u03c4max = " + twotaumax1.toFixed(3).replace(/\.?0+$/,"").toString() + " ksi, \u0398 = " + twotheta1.toFixed(3).replace(/\.?0+$/,"").toString() + " degrees."
twoanswer2 = "\u03c4max = " + twotaumax2.toFixed(3).replace(/\.?0+$/,"").toString() + " ksi, \u0398 = " + twotheta2.toFixed(3).replace(/\.?0+$/,"").toString() + " degrees."
twoanswer3 = "\u03c4max = " + twotaumax3.toFixed(3).replace(/\.?0+$/,"").toString() + " ksi, \u0398 = " + twotheta3.toFixed(3).replace(/\.?0+$/,"").toString() + " degrees."
//Place Answer Choices into Array
twoanswerchoices = [twoanswer1, twoanswer2, twoanswer3, twocorrectanswer];
//Randomize Answer Choices
do {
var indexa = Math.floor(Math.random()*twoanswerchoices.length);
var indexb = Math.floor(Math.random()*twoanswerchoices.length);
}
while (indexb == indexa);
do {
var indexc = Math.floor(Math.random()*twoanswerchoices.length);
}
while (indexc == indexa || indexc == indexb);
do {
var indexd = Math.floor(Math.random()*twoanswerchoices.length);
}
while (indexd == indexa || indexd == indexb ||
indexd == indexc);
twoa = twoanswerchoices[indexa];
twob = twoanswerchoices[indexb];
twoc = twoanswerchoices[indexc];
twod = twoanswerchoices[indexd];
if (indexa == 3) {
twocorrectchoice = "a"
}
if (indexb == 3) {
twocorrectchoice = "b"
}
if (indexc == 3) {
twocorrectchoice = "c"
}
if (indexd == 3) {
twocorrectchoice = "d"
}
//Question 2 Question
question2 = "2. Find the the maximum shear stress, and angle of the plane on which the principal acts for an element with \u03C3(x) = " + twosigmax.toString() + " ksi, \u03C3(y) = " + twosigmay.toString() + " ksi, and \u03C4(xy) = " + twotau.toString() + " ksi."
//Question Slides
const myQuestions = [
{
question: question1,
answers: {
a: onea,
b: oneb,
c: onec,
d: oned
},
correctAnswer: onecorrectchoice
},
{
question: question2,
answers: {
a: twoa,
b: twob,
c: twoc,
d: twod
},
correctAnswer: twocorrectchoice
}
];
function buildQuiz() {
// we'll need a place to store the HTML output
const output = [];
// for each question...
myQuestions.forEach((currentQuestion, questionNumber) => {
// we'll want to store the list of answer choices
const answers = [];
// and for each available answer...
for (letter in currentQuestion.answers) {
// ...add an HTML radio button
answers.push(
``
);
}
// add this question and its answers to the output
output.push(
`
${currentQuestion.question}
${answers.join("")}
`
);
});
// finally combine our output list into one string of HTML and put it on the page
quizContainer.innerHTML = output.join("");
}
function showResults() {
// gather answer containers from our quiz
const answerContainers = quizContainer.querySelectorAll(".answers");
// keep track of user's answers
let numCorrect = 0;
// for each question...
myQuestions.forEach((currentQuestion, questionNumber) => {
// find selected answer
const answerContainer = answerContainers[questionNumber];
const selector = `input[name=question${questionNumber}]:checked`;
const userAnswer = (answerContainer.querySelector(selector) || {}).value;
// if answer is correct
if (userAnswer === currentQuestion.correctAnswer) {
// add to the number of correct answers
numCorrect++;
// color the answers green
answerContainers[questionNumber].style.color = "green";
} else {
// if answer is wrong or blank
// color the answers red
answerContainers[questionNumber].style.color = "red";
}
});
// show number of correct answers out of total
resultsContainer.innerHTML = `${numCorrect} out of ${myQuestions.length}`;
}
function showSlide(n) {
slides[currentSlide].classList.remove("active-slide");
slides[n].classList.add("active-slide");
currentSlide = n;
if (currentSlide === 0) {
previousButton.style.display = "none";
} else {
previousButton.style.display = "inline-block";
}
if (currentSlide === slides.length - 1) {
nextButton.style.display = "none";
submitButton.style.display = "inline-block";
} else {
nextButton.style.display = "inline-block";
submitButton.style.display = "inline-block";
}
}
function showNextSlide() {
showSlide(currentSlide + 1);
}
function showPreviousSlide() {
showSlide(currentSlide - 1);
}
const quizContainer = document.getElementById("quiz");
const resultsContainer = document.getElementById("results");
const submitButton = document.getElementById("submit");
// display quiz right away
buildQuiz();
const previousButton = document.getElementById("previous");
const nextButton = document.getElementById("next");
const slides = document.querySelectorAll(".slide");
let currentSlide = 0;
showSlide(0);
// on submit, show results
submitButton.addEventListener("click", showResults);
previousButton.addEventListener("click", showPreviousSlide);
nextButton.addEventListener("click", showNextSlide);
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