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beam - final.html
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beam - final.html
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<!-- Can Update with the equations as used in Acceleration Analysis File -->
<!DOCTYPE html>
<html lang="en-US">
<head>
<meta charset="UTF-8">
<title>SOLVE - Beam Questions</title>
<!-- DND-Required css and js files -->
<link rel="stylesheet" href="sins/MOMstyle.css" />
<script src='http://ajax.googleapis.com/ajax/libs/jquery/1.9.0/jquery.min.js'></script>
<script src='http://ajax.googleapis.com/ajax/libs/jqueryui/1.10.0/jquery-ui.min.js'></script>
<script type="text/javascript" src= "sins/MOMscript.js"></script>
<script type="text/javascript" >
//Script specific to simulation
//comments section
var commenttext="Some Text";
var commentloc=0;
//simulation constants
var x_offset = 80; //local origin - x
var y_offset = 90; //local origin - y
var trans= new point(x_offset,y_offset);
var beamLength = 400;
var beamWidth = 10;
var support_length = 50;
var support_width = 20;
var deflection_value = 100;
var number_of_lines = 100;
var e = 200; //e in the formula
var i = 8.3333; //i in the formula
//for simply supported beam
var rollRadius = 4;
var groundWidth = 30;
var groundOffset = 50;
var init_wedge_position = beamLength;
var wedgePosition = 0;
var o= new point(0,0,"");
//graphics section
var canvas;
var ctx;
//timing section
var simTimeId = setInterval("",'1000');
var pauseTime = setInterval("",'1000');
var time=0;
//point tracing section
var ptx = [];
var pty = [];
const FIXED_BEAM = 0;
const CANTILEVER_BEAM = 1;
const SIMPLY_SUPPORTED = 2;
var scene = FIXED_BEAM;
/*
// for trials during development
function trythis()
{ alert();}
*/
//change simulation specific css content. e.g. padding on top of variable to adjust appearance in variables window
function editcss()
{
$('.variable').css('padding-top','40px');
}
//start of simulation here; starts the timer with increments of 0.1 seconds
function startsim()
{
simTimeId=setInterval("time=time+0.1; varupdate(); ",'100');
}
//Initialise system parameters here
function varinit()
{
varchange();
var init_a = x_offset + beamLength / 2;
var init_force = 0;
$('#aslider').slider("value", init_a);
$('#aspinner').spinner("value", init_a);
$('#forceslider').slider("value", init_force);
$('#forcespinner').spinner("value", init_force);
$('#wedgeSlider').slider("value", init_wedge_position);
$('#wedgeSpinner').spinner("value", init_wedge_position);
}
// Initialise and Monitor variable containing user inputs of system parameters.
//change #id and repeat block for new variable. Make sure new <div> with appropriate #id is included in the markup
function varchange()
{
//Variable a postion slider and number input types
$('#aslider').slider({ max : beamLength, min : 0, step : 5 }); // slider initialisation : jQuery widget
$('#aspinner').spinner({ max : beamLength, min : 0, step : 5 }); // number initialisation : jQuery widget
// monitoring change in value and connecting slider and number
// setting trace point coordinate arrays to empty on change of link length
$( "#aslider" ).on( "slide", function( e, ui ) { $('#aspinner').spinner("value",ui.value); ptx=[]; pty=[]; } );
$( "#aspinner" ).on( "spin", function( e, ui ) { $('#aslider').slider("value",ui.value); ptx=[]; pty=[]; } );
$( "#aspinner" ).on( "change", function() { varchange() } );
//Variable force slider and number input types
$('#forceslider').slider({ max : 250, min : 0, step : 1 }); // slider initialisation : jQuery widget
$('#forcespinner').spinner({ max : 250, min : 0, step : 1 }); // number initialisation : jQuery widget
// monitoring change in value and connecting slider and number
// setting trace point coordinate arrays to empty on change of link length
$( "#forceslider" ).on( "slide", function( e, ui ) { $('#forcespinner').spinner("value",ui.value); ptx=[]; pty=[]; } );
$( "#forcespinner" ).on( "spin", function( e, ui ) { $('#forceslider').slider("value",ui.value); ptx=[]; pty=[]; } );
$( "#forcespinner" ).on( "change", function() { varchange() } );
//Variable force slider and number input types
$('#wedgeSlider').slider({ max : beamLength, min : beamLength/2, step : 2 }); // slider initialisation : jQuery widget
$('#wedgeSpinner').spinner({ max : beamLength, min : beamLength/2, step : 2 }); // number initialisation : jQuery widget
// monitoring change in value and connecting slider and number
// setting trace point coordinate arrays to empty on change of link length
$( "#wedgeSlider" ).on( "slide", function( e, ui ) { $('#wedgeSpinner').spinner("value",ui.value); ptx=[]; pty=[]; } );
$( "#wedgeSpinner" ).on( "spin", function( e, ui ) { $('#wedgeSlider').slider("value",ui.value); ptx=[]; pty=[]; } );
$( "#wedgeSpinner" ).on( "change", function() { varchange() } );
varupdate();
}
//Computing of various system parameters
function varupdate()
{
if(scene == SIMPLY_SUPPORTED){
$('#wedgeSlider').slider("enable");
$('#wedgeSpinner').spinner("enable");
$('#forceslider').slider({ max : 100, min : 0, step : 2 }); // slider initialisation : jQuery widget
$('#forcespinner').spinner({ max : 100, min : 0, step : 2 }); // number initialisation : jQuery widget
// $('#aslider').slider({ max : wedgePosition, min : 0, step : 5 }); // slider initialisation : jQuery widget
// $('#aspinner').spinner({ max : wedgePosition, min : 0, step : 5 }); // number initialisation : jQuery widget
}
else{
$('#wedgeSlider').slider("disable");
$('#wedgeSpinner').spinner("disable");
$('#forceslider').slider({ max : 250, min : 0, step : 2 }); // slider initialisation : jQuery widget
$('#forcespinner').spinner({ max : 250, min : 0, step : 2 }); // number initialisation : jQuery widget
}
$('#aslider').slider("value", $('#aspinner').spinner('value'))
$('#forceslider').slider("value", $('#forcespinner').spinner('value'));
$('#wedgeSlider').slider("value", $('#wedgeSpinner').spinner('value'));
load_point = $('#aspinner').spinner("value");
load = $('#forcespinner').spinner("value");
wedgePosition = $('#wedgeSpinner').spinner("value");
o.xcoord=0;
o.ycoord=0;
if(scene == FIXED_BEAM)
drawForFixed();
else if(scene == CANTILEVER_BEAM)
drawForCantilever();
else
drawForSimplySupported();
}
/*
-------FOR FIXED BEAM-------------------------------------------------------
*/
//Simulation graphics
function drawForFixed()
{
canvas = document.getElementById("simscreen");
ctx = canvas.getContext("2d");
ctx.clearRect(0,0,550,400); //clears the complete canvas#simscreen everytime
e *= 100;
i *= 100;
support_width = 20;
pointtrans(o,trans);
//left support
ctx.beginPath();
ctx.strokeStyle="#825723";
ctx.lineWidth=support_width;
ctx.moveTo(o.xcoord ,o.ycoord-(support_length/2));
ctx.lineTo(o.xcoord ,o.ycoord+(support_length/2));
ctx.stroke();
ctx.closePath();
//right support
ctx.beginPath();
ctx.strokeStyle= "#825723";
ctx.lineWidth=support_width;
ctx.moveTo(beamLength+x_offset + support_width,o.ycoord - (support_length/2));
ctx.lineTo(beamLength + x_offset + support_width, o.ycoord + (support_length/2));
ctx.stroke();
ctx.closePath();
ctx.beginPath();
ctx.lineWidth=beamWidth;
ctx.strokeStyle= "#000";
i=(Math.round(i*100)-Math.round(i)*100)/100+Math.round(i);
def = calculatDeflectionForFixed(load_point, load, load_point, wedgePosition);
def=(Math.round(def*100)-Math.round(def)*100)/100+Math.round(def);
printcomment("For MildSteel, E(Gpa): 200, I(mm^4): " + i +
", deflection at 'a'(mm): " + def/10
,0);
var start = new point(x_offset+support_width/2, o.ycoord);
for(var x = 0; x < number_of_lines; x++){
ctx.moveTo(x_offset+support_width/2 + x*(beamLength/number_of_lines)
,calculatDeflectionForFixed(load_point, load, x*(beamLength/number_of_lines) )+ y_offset);
ctx.lineTo(x_offset+support_width/2 + (x+1)*(beamLength/number_of_lines)
,calculatDeflectionForFixed(load_point, load, (x+1)*(beamLength/number_of_lines)) + y_offset);
ctx.stroke();
}
ctx.closePath();
ctx.beginPath();
ctx.globalAlpha=0.1;
ctx.lineWidth=beamWidth;
ctx.strokeStyle= "#000";
ctx.moveTo(x_offset+support_width/2 ,o.ycoord);
ctx.lineTo(beamLength+x_offset + support_width/2 ,o.ycoord);
ctx.stroke();
ctx.globalAlpha=1;
ctx.closePath();
//draw force arrow
drawForceArrow(ctx);
//draw SFD
drawSfdforFixed(ctx, load, load_point);
//draw BMD
drawBmdforFixed(ctx, load, load_point);
e /= 100;
i /= 100;
}
function calculatDeflectionForFixed(load_point, load, x){
if( x <= load_point ){
return deflectionEquationForFixed(load, load_point, x, e, i, beamLength);
}
else{
return deflectionEquationForFixed(load, beamLength- load_point, beamLength-x, e, i, beamLength);
}
}
function deflectionEquationForFixed(p, a, x, e, i, l){
var b = l -a;
return (p*b*b*x*x)*(3*a*l - 3*a*x - b*x) / (6*e*i*l*l*l);
}
function drawSfdforFixed(ctx, load, load_point){
//left support lines
pointtrans(o, new point(0,300));
ctx.lineWidth=1;
ctx.strokeStyle= "#616161";
ctx.beginPath();
ctx.moveTo(o.xcoord + support_width/2 , o.ycoord - support_length/2);
ctx.lineTo(o.xcoord + support_width/2, o.ycoord + support_length/2);
ctx.stroke();
ctx.closePath();
ctx.beginPath();
ctx.moveTo(o.xcoord + support_width/2 + beamLength, o.ycoord - support_length/2);
ctx.lineTo(o.xcoord + support_width/2 + beamLength, o.ycoord + support_length/2);
ctx.stroke();
ctx.closePath();
ctx.beginPath();
ctx.lineWidth = 1;
ctx.moveTo(o.xcoord + support_width/2 , o.ycoord );
ctx.lineTo(o.xcoord + support_width/2 + beamLength , o.ycoord);
ctx.stroke();
ctx.closePath();
ctx.save();
ctx.lineWidth=1;
ctx.strokeStyle="#000000";
ctx.fillStyle = "#000"
ctx.font = "12px Arial";
ctx.strokeText('SFD (N)', o.xcoord + support_width/2 , o.ycoord - support_length/2 - 15);
ctx.restore();
var Ra = calculateReactionFixed(load, load_point, beamLength - load_point, beamLength);
var Rb = calculateReactionFixed(load, beamLength - load_point, load_point, beamLength);
ctx.save();
ctx.lineWidth=1;
ctx.strokeStyle="#000000";
ctx.font = "10px Arial";
ctx.strokeText('' + Math.ceil(Ra), o.xcoord + support_width/2 - 20, o.ycoord - support_length/2 + 15);
ctx.strokeText('' + Math.floor(Rb), o.xcoord + support_width/2 + beamLength + 10, o.ycoord + 15)
ctx.restore();
if(Ra > support_length/2)
Ra = support_length/2;
if(Rb > support_length/2)
Rb = support_length/2;
if( Ra != 0 && Rb != 0){
ctx.beginPath();
ctx.lineWidth = Ra;
ctx.moveTo(o.xcoord + support_width/2 , o.ycoord - Ra/2);
ctx.lineTo(o.xcoord + support_width/2 + load_point , o.ycoord - Ra/2);
ctx.stroke();
ctx.closePath();
ctx.beginPath();
ctx.lineWidth = Rb;
ctx.moveTo(o.xcoord + support_width/2 +load_point, o.ycoord + Rb/2);
ctx.lineTo(o.xcoord + support_width/2 + beamLength , o.ycoord + Rb/2);
ctx.stroke();
ctx.closePath();
}
pointtrans(o, new point(0,300));
}
function calculateReactionFixed(P, a, b, l){
return ((P * b * b *(3*a + b)) / pow(l,3));
}
function drawBmdforFixed(ctx, load, load_point){
pointtrans(o, new point(0,400));
ctx.lineWidth=1;
ctx.strokeStyle= "#616161";
ctx.beginPath();
ctx.moveTo(o.xcoord + support_width/2 , o.ycoord - support_length/2);
ctx.lineTo(o.xcoord + support_width/2, o.ycoord + support_length/2);
ctx.stroke();
ctx.closePath();
ctx.beginPath();
ctx.moveTo(o.xcoord + support_width/2 + beamLength, o.ycoord - support_length/2);
ctx.lineTo(o.xcoord + support_width/2 + beamLength, o.ycoord + support_length/2);
ctx.stroke();
ctx.closePath();
ctx.beginPath();
ctx.lineWidth = 1;
ctx.moveTo(o.xcoord + support_width/2 , o.ycoord );
ctx.lineTo(o.xcoord + support_width/2 + beamLength , o.ycoord);
ctx.stroke();
ctx.closePath();
ctx.save();
ctx.lineWidth=1;
ctx.strokeStyle="#000000";
ctx.fillStyle = "#000"
ctx.font = "12px Arial";
ctx.strokeText('BMD (N-m)', o.xcoord + support_width/2 , o.ycoord - support_length/2 - 15);
ctx.restore();
ctx.save();
ctx.lineWidth=1;
ctx.strokeStyle="#000000";
ctx.font = "10px Arial";
ctx.strokeText('' + Math.ceil(calculateBmdforFixed(load, load_point, 0, beamLength)), o.xcoord + support_width/2 - 20, o.ycoord + 15);
ctx.strokeText('' + calculateBmdforFixed(load, load_point, 0, beamLength), o.xcoord + support_width/2 + beamLength + 10, o.ycoord + 15)
ctx.restore();
ctx.beginPath();
ctx.moveTo(o.xcoord + support_width/2, o.ycoord );
for(var i = 0; i < beamLength; i++){
ctx.lineTo(o.xcoord + support_width/2 + i, o.ycoord - calculateBmdforFixed(load, load_point, i, beamLength))
ctx.moveTo(o.xcoord + support_width/2 + i +1, o.ycoord );
ctx.stroke();
}
ctx.closePath();
}
function calculateBmdforFixed(P, a, x, l){
if( x <= a ){
var r = calculateReactionFixed(P, a, l - a, l);
return (( r * x ) - ( P * a * pow((l-a),2) / pow(l,2)) )/1000;
}
else{
var r = calculateReactionFixed(P, l - a, a, l);
return (( r * (l - x) ) - ( P * (l-a) * pow(a,2) / pow(l,2)) )/1000;
}
}
/*
-------FOR CANTILEVER BEAM-------------------------------------------------------
*/
function drawForCantilever()
{
canvas = document.getElementById("simscreen");
ctx = canvas.getContext("2d");
ctx.clearRect(0,0,550,400); //clears the complete canvas#simscreen everytime
e *= 1000;
i *= 100;
pointtrans(o,trans);
//left support
ctx.beginPath();
ctx.strokeStyle="#825723";
ctx.lineWidth=support_width;
ctx.moveTo(o.xcoord,o.ycoord-(support_length/2));
ctx.lineTo(o.xcoord,o.ycoord+(support_length/2));
ctx.stroke();
ctx.closePath();
ctx.beginPath();
ctx.lineWidth=beamWidth;
ctx.strokeStyle= "#000";
i=(Math.round(i*100)-Math.round(i)*100)/100+Math.round(i);
def = calculatDeflectionForCantilever(load_point, load, load_point, wedgePosition);
def=(Math.round(def*100)-Math.round(def)*100)/100+Math.round(def);
printcomment("For MildSteel, E(Gpa): 200, I(mm^4): " + i +
", deflection at 'a'(mm): " + def
,0);
var start = new point(x_offset+support_width/2, o.ycoord);
for(var x = 0; x < number_of_lines; x++){
ctx.moveTo(x_offset+support_width/2 + x*(beamLength/number_of_lines)
,calculatDeflectionForCantilever(load_point, load, x*(beamLength/number_of_lines) )+ y_offset
);
ctx.lineTo(x_offset+support_width/2 + (x+1)*(beamLength/number_of_lines)
,calculatDeflectionForCantilever(load_point, load, (x+1)*(beamLength/number_of_lines) )+ y_offset);
ctx.stroke();
}
ctx.closePath();
ctx.beginPath();
ctx.globalAlpha=0.1;
ctx.lineWidth=beamWidth;
ctx.strokeStyle= "#000";
ctx.moveTo(x_offset+support_width/2 ,o.ycoord);
ctx.lineTo(beamLength+x_offset + support_width/2 ,o.ycoord);
ctx.stroke();
ctx.globalAlpha=1;
ctx.closePath();
//draw force arrow
drawForceArrow(ctx);
//draw SFD
drawSfdforCantilever(ctx, load, load_point);
//draw BMD
drawBmdforCantilever(ctx, load, load_point);
e /= 1000;
i /= 100;
}
function calculatDeflectionForCantilever(load_point, load, x){
p = load;
if( x <= load_point ){
return (p*x*x)*(3*load_point-x) / (6 * e * i);
}
else{
return (p*load_point*load_point)*(3*x- load_point ) / (6 * e * i);
}
}
function deflectionEquationForCantilever(p, a, x, e, i){
return (p*b*b*x*x)*(3*a*l - 3*a*x - b*x) / (6*e*i*l*l*l);
}
function drawSfdforCantilever(ctx, load, load_point){
//left support lines
pointtrans(o, new point(0,300));
ctx.lineWidth=1;
ctx.strokeStyle= "#616161";
ctx.beginPath();
ctx.moveTo(o.xcoord + support_width/2 , o.ycoord - support_length/2);
ctx.lineTo(o.xcoord + support_width/2, o.ycoord + support_length/2);
ctx.stroke();
ctx.closePath();
ctx.beginPath();
ctx.moveTo(o.xcoord + support_width/2 + beamLength, o.ycoord - support_length/2);
ctx.lineTo(o.xcoord + support_width/2 + beamLength, o.ycoord + support_length/2);
ctx.stroke();
ctx.closePath();
ctx.beginPath();
ctx.lineWidth = 1;
ctx.moveTo(o.xcoord + support_width/2 , o.ycoord );
ctx.lineTo(o.xcoord + support_width/2 + beamLength , o.ycoord);
ctx.stroke();
ctx.closePath();
ctx.save();
ctx.lineWidth=1;
ctx.strokeStyle="#000000";
ctx.fillStyle = "#000"
ctx.font = "12px Arial";
ctx.strokeText('SFD (N)', o.xcoord + support_width/2 , o.ycoord - support_length/2 - 15);
ctx.restore();
var R = load;
if(R > support_length/2)
R = support_length/2;
ctx.beginPath();
ctx.lineWidth = R;
ctx.moveTo(o.xcoord + support_width/2 , o.ycoord - R/2);
ctx.lineTo(o.xcoord + support_width/2 + load_point , o.ycoord -R/2);
ctx.stroke();
ctx.closePath();
ctx.save();
ctx.lineWidth=1;
ctx.strokeStyle="#000000";
ctx.font = "10px Arial";
ctx.strokeText('' + Math.ceil(load), o.xcoord + support_width/2 - 20, o.ycoord - support_length/2 + 15);
ctx.restore();
pointtrans(o, new point(0,300));
}
function drawBmdforCantilever(ctx, load, load_point){
pointtrans(o, new point(0,400));
ctx.lineWidth=1;
ctx.strokeStyle= "#616161";
ctx.beginPath();
ctx.moveTo(o.xcoord + support_width/2 , o.ycoord - support_length/2);
ctx.lineTo(o.xcoord + support_width/2, o.ycoord + support_length/2);
ctx.stroke();
ctx.closePath();
ctx.beginPath();
ctx.moveTo(o.xcoord + support_width/2 + beamLength, o.ycoord - support_length/2);
ctx.lineTo(o.xcoord + support_width/2 + beamLength, o.ycoord + support_length/2);
ctx.stroke();
ctx.closePath();
ctx.beginPath();
ctx.lineWidth = 1;
ctx.moveTo(o.xcoord + support_width/2 , o.ycoord );
ctx.lineTo(o.xcoord + support_width/2 + beamLength , o.ycoord );
ctx.stroke();
ctx.closePath();
ctx.save();
ctx.lineWidth=1;
ctx.strokeStyle="#000000";
ctx.fillStyle = "#000"
ctx.font = "12px Arial";
ctx.strokeText('BMD (N-mm)', o.xcoord + support_width/2 , o.ycoord - support_length/2 - 15);
ctx.restore();
ctx.beginPath();
ctx.moveTo(o.xcoord + support_width/2, o.ycoord );
for(var i = 0; i < load_point; i++){
ctx.lineTo(o.xcoord + support_width/2 + i, o.ycoord - calculateBmdforCantilever(load, i, load_point));
ctx.moveTo(o.xcoord + support_width/2 + i +1, o.ycoord );
ctx.stroke();
}
ctx.closePath();
ctx.save();
ctx.lineWidth=1;
ctx.strokeStyle="#000000";
ctx.font = "10px Arial";
ctx.strokeText('' + 2000*Math.ceil(calculateBmdforCantilever(load, 0, load_point)), o.xcoord + support_width/2 - 50, o.ycoord + 15);
// ctx.strokeText('' + calculateBmdforSimplySupported(load, load_point, 0, beamLength), o.xcoord + support_width/2 + beamLength + 10, o.ycoord + 15)
ctx.restore();
}
function calculateBmdforCantilever(P, x, l){
return - P * (l - x) / 2000;
}
/*
-------FOR Simply Supported BEAM-------------------------------------------------------
*/
function drawForSimplySupported(){
canvas = document.getElementById("simscreen");
ctx = canvas.getContext("2d");
ctx.clearRect(0,0,550,400); //clears the complete canvas#simscreen everytime
var support_offset = support_width/2;
support_width = 36;
e *= 100;
i *= 100;
pointtrans(o,trans);
//left support
ctx.beginPath();
ctx.fillStyle="#825723";
ctx.moveTo(o.xcoord + support_offset ,o.ycoord+(beamWidth/2));
ctx.lineTo(o.xcoord + support_offset +support_width/2,o.ycoord+support_width + beamWidth/2);
ctx.lineTo(o.xcoord + support_offset -support_width/2,o.ycoord+support_width + beamWidth/2);
ctx.fill();
ctx.closePath();
ctx.beginPath();
ctx.lineWidth=beamWidth;
ctx.strokeStyle= "#000";
i=(Math.round(i*100)-Math.round(i)*100)/100+Math.round(i);
def = calculatDeflectionForSimplySupported(load_point, load, load_point, wedgePosition);
def=(Math.round(def*100)-Math.round(def)*100)/100+Math.round(def);
printcomment("For MildSteel, E(Gpa): 200, I(mm^4): " + i +
", deflection at 'a'(mm): " + def/10
,0);
var start = new point(x_offset+support_width/2, o.ycoord);
for(var x = 0; x < number_of_lines; x++){
ctx.moveTo(x_offset+support_offset + x*(beamLength/number_of_lines)
,calculatDeflectionForSimplySupported(load_point, load, x*(beamLength/number_of_lines), wedgePosition )+ y_offset);
ctx.lineTo(x_offset+support_offset + (x+1)*(beamLength/number_of_lines)
,calculatDeflectionForSimplySupported(load_point, load, (x+1)*(beamLength/number_of_lines), wedgePosition )+ y_offset);
ctx.stroke();
}
ctx.closePath();
var loc_org_x = o.xcoord + support_offset + wedgePosition ; //variable for the movement of the right beam
//right support
ctx.beginPath();
ctx.fillStyle="#825723";
ctx.moveTo(loc_org_x ,o.ycoord+(beamWidth/2));
ctx.lineTo(loc_org_x + support_width/2 - rollRadius,o.ycoord+support_width + beamWidth/2 - rollRadius*2);
ctx.lineTo(loc_org_x - support_width/2 + rollRadius,o.ycoord+support_width + beamWidth/2 - rollRadius*2);
//ctx.lineTo(o.xcoord,o.ycoord+(beamWidth/2));
//ctx.stroke();
ctx.fill();
ctx.closePath();
//left cylinder
ctx.beginPath();
ctx.lineWidth = 1;
ctx.fillStyle="#000";
ctx.arc(loc_org_x - support_width/2 + 2*rollRadius
, o.ycoord+support_width + beamWidth/2 - rollRadius, rollRadius, 0, 2 * Math.PI);
ctx.stroke();
ctx.fill();
ctx.closePath();
//right cylinder
ctx.beginPath();
ctx.fillStyle="#000";
ctx.lineWidth = 1;
ctx.arc(loc_org_x + support_width/2 - 2*rollRadius
, o.ycoord+support_width + beamWidth/2 - rollRadius, rollRadius, 0, 2 * Math.PI);
ctx.stroke();
ctx.fill();
ctx.closePath();
//original beam postion
ctx.beginPath();
ctx.globalAlpha=0.1;
ctx.lineWidth=beamWidth;
ctx.strokeStyle= "#000";
ctx.moveTo(x_offset + support_offset ,o.ycoord);
ctx.lineTo(beamLength+x_offset ,o.ycoord);
ctx.stroke();
ctx.globalAlpha=1;
ctx.closePath();
//ground
ctx.beginPath();
ctx.globalAlpha=0.3;
ctx.lineWidth=groundWidth;
ctx.strokeStyle= "#000";
ctx.moveTo(x_offset - groundOffset,o.ycoord + beamWidth/2 + support_width + groundWidth /2);
ctx.lineTo(beamLength+x_offset+groundOffset ,o.ycoord + beamWidth/2 + support_width + groundWidth/2);
ctx.stroke();
ctx.globalAlpha=1;
ctx.closePath();
//draw force arrow
support_width = 20;
drawForceArrow(ctx);
//draw SFD
drawSfdforSimplySupported(ctx, load, load_point);
//draw BMD
drawBmdforSimplySupported(ctx, load, load_point);
e /= 100;
i /= 100;
}
function calculatDeflectionForSimplySupported(load_point, load, x, wedgePosition){
if(load_point <= wedgePosition){
if(x <= load_point)
return (load * (wedgePosition- load_point ) * x) * ( pow(wedgePosition, 2) - pow( wedgePosition-load_point, 2) - pow(x,2) ) / (6 * wedgePosition * e*i );
else if( x > load_point && x < wedgePosition)
return (load * load_point * (wedgePosition- x ) ) * ( 2*wedgePosition*x - pow( load_point, 2) - pow(x,2) ) / (6 * wedgePosition * e*i);
else
return - (load * load_point * (wedgePosition - load_point) * (x - wedgePosition ) * ( (wedgePosition - o.xcoord) + load_point)) / (6 * e * i * wedgePosition );
}
else if(load_point > wedgePosition){
if(x <= wedgePosition){
return -(load * (load_point - wedgePosition) * x * (pow(wedgePosition, 2) - pow(x,2) )) / (6* e* i* wedgePosition);
}
else{
return load*(x-wedgePosition)*(2*(load_point - wedgePosition)*wedgePosition + 3*(load_point - wedgePosition)*(x-wedgePosition) - pow(x-wedgePosition, 2)) / (6*e*i);
}
}
}
function drawSfdforSimplySupported(ctx, load, load_point){
//left support lines
pointtrans(o, new point(0,300));
ctx.lineWidth=1;
ctx.strokeStyle= "#616161";
ctx.beginPath();
ctx.moveTo(o.xcoord + support_width/2 , o.ycoord - support_length/2);
ctx.lineTo(o.xcoord + support_width/2, o.ycoord + support_length/2);
ctx.stroke();
ctx.closePath();
ctx.beginPath();
ctx.moveTo(o.xcoord + support_width/2 + beamLength, o.ycoord - support_length/2);
ctx.lineTo(o.xcoord + support_width/2 + beamLength, o.ycoord + support_length/2);
ctx.stroke();
ctx.closePath();
ctx.beginPath();
ctx.lineWidth = 1;
ctx.moveTo(o.xcoord + support_width/2 , o.ycoord );
ctx.lineTo(o.xcoord + support_width/2 + beamLength , o.ycoord );
ctx.stroke();
ctx.closePath();
ctx.save();
ctx.lineWidth=1;
ctx.strokeStyle="#000000";
ctx.fillStyle = "#000"
ctx.font = "12px Arial";
ctx.strokeText('SFD (N)', o.xcoord + support_width/2 , o.ycoord - support_length/2 - 10);
ctx.restore();
if(load_point <= wedgePosition){
var Ra = calculateReactionSimplySupported(load, beamLength - load_point, beamLength);
var Rb = calculateReactionSimplySupported(load, load_point, beamLength);
ctx.save();
ctx.lineWidth=1;
ctx.strokeStyle="#000000";
ctx.font = "10px Arial";
ctx.strokeText('' + Math.ceil(Ra), o.xcoord + support_width/2 - 20, o.ycoord - support_length/2 + 15);
ctx.strokeText('' + Math.floor(Rb), o.xcoord + support_width/2 + beamLength + 10, o.ycoord + 15)
ctx.restore();
if(Ra > support_length/2)
Ra = support_length/2;
if(Rb > support_length/2)
Rb = support_length/2;
if( Ra != 0 && Rb != 0){
ctx.beginPath();
ctx.lineWidth = Ra;
ctx.moveTo(o.xcoord + support_width/2 , o.ycoord - Ra/2);
ctx.lineTo(o.xcoord + support_width/2 + load_point , o.ycoord - Ra/2);
ctx.stroke();
ctx.closePath();
ctx.beginPath();
ctx.lineWidth = Rb;
ctx.moveTo(o.xcoord + support_width/2 +load_point, o.ycoord + Rb/2);
ctx.lineTo(o.xcoord + support_width/2 + wedgePosition , o.ycoord + Rb/2);
ctx.stroke();
ctx.closePath();
}
}
else{
var Ra = calculateReactionSimplySupported(load, load_point, beamLength);
var Rb = calculateReactionSimplySupported(load, load_point + beamLength, beamLength);
ctx.save();
ctx.lineWidth=1;
ctx.strokeStyle="#000000";
ctx.font = "10px Arial";
ctx.strokeText('' + Math.ceil(Ra), o.xcoord + support_width/2 - 20, o.ycoord - support_length/2 + 15);
ctx.strokeText('' + Math.floor(Rb), o.xcoord + support_width/2 + beamLength + 10, o.ycoord + 15)
ctx.restore();
if(Ra > support_length/2)
Ra = support_length/2;
if(Rb > support_length/2)
Rb = support_length/2;
if( Ra != 0 && Rb != 0){
ctx.beginPath();
ctx.lineWidth = Ra;
ctx.moveTo(o.xcoord + support_width/2 , o.ycoord - Ra/2);
ctx.lineTo(o.xcoord + support_width/2 + wedgePosition , o.ycoord - Ra/2);
ctx.stroke();
ctx.closePath();
ctx.beginPath();
ctx.lineWidth = Rb;
ctx.moveTo(o.xcoord + support_width/2 +wedgePosition, o.ycoord + Rb/2);
ctx.lineTo(o.xcoord + support_width/2 + load_point , o.ycoord + Rb/2);
ctx.stroke();
ctx.closePath();
}
}
pointtrans(o, new point(0,300));
}
function calculateReactionSimplySupported(P, value, l){
return (P * value / l);
}
function drawBmdforSimplySupported(ctx, load, load_point){
pointtrans(o, new point(0,400));
ctx.lineWidth=1;
ctx.strokeStyle= "#616161";
ctx.beginPath();
ctx.moveTo(o.xcoord + support_width/2 , o.ycoord - support_length/2);
ctx.lineTo(o.xcoord + support_width/2, o.ycoord + support_length/2);
ctx.stroke();
ctx.closePath();
ctx.beginPath();
ctx.moveTo(o.xcoord + support_width/2 + beamLength, o.ycoord - support_length/2);
ctx.lineTo(o.xcoord + support_width/2 + beamLength, o.ycoord + support_length/2);
ctx.stroke();
ctx.closePath();
ctx.beginPath();
ctx.lineWidth = 1;
ctx.moveTo(o.xcoord + support_width/2 , o.ycoord );
ctx.lineTo(o.xcoord + support_width/2 + beamLength , o.ycoord );
ctx.stroke();
ctx.closePath();
ctx.save();
ctx.lineWidth=1;
ctx.strokeStyle="#000000";
ctx.fillStyle = "#000"
ctx.font = "12px Arial";
ctx.strokeText('BMD (N-m)', o.xcoord + support_width/2 , o.ycoord - support_length/2 - 15);
ctx.restore();
var untill = beamLength;
if( load_point <= wedgePosition)
untill = wedgePosition;
else
untill = load_point;
ctx.beginPath();
ctx.moveTo(o.xcoord + support_width/2, o.ycoord );
for(var i = 0; i < untill; i++){
ctx.lineTo(o.xcoord + support_width/2 + i, o.ycoord - calculateBmdforSimplySupported(load, load_point, i, wedgePosition))
ctx.moveTo(o.xcoord + support_width/2 + i +1, o.ycoord );
ctx.stroke();
}
ctx.closePath();
var offset = 20;