Get our all latest and free stuff by subscribing to your youtube channel for FREE. 

Uncategorized

Linear Interpolation made easy

Linear Interpolation is a very efficient and useful technique to get a required data from a limited source of data. In Civil Engineering we have to deal with a lot of calculations like minimum thickness table in Reinforced concrete structures, in Structural Number Calculation in Transportation engineering and so many.

linear interpolation calculation tool

Linear interpolation is a technique of curve fitting in which if a straight line is faced, one can easy find the various points on that line.

What is Interpolation

This tool is provided specially for civil engineers, to help them in their estimation work and in the various civil engineering calculation.

Linear Interpolation Calculation

/** the form elements **/ #hongkiat-form { box-sizing: border-box; } #hongkiat-form .txtinput { display: block; font-family: \”Helvetica Neue\”, Arial, sans-serif; border-style: solid; border-width: 1px; border-color: #dedede; margin-bottom: 20px; font-size: 14px; padding:4px; width:100px; color: #777; box-shadow: 0 1px 3px rgba(0, 0, 0, 0.1) inset; -moz-box-shadow: 0 1px 3px rgba(0, 0, 0, 0.1) inset; -webkit-box-shadow: 0 1px 3px rgba(0, 0, 0, 0.1) inset; transition: border 0.15s linear 0s, box-shadow 0.15s linear 0s, color 0.15s linear 0s; -webkit-transition: border 0.15s linear 0s, box-shadow 0.15s linear 0s, color 0.15s linear 0s; -moz-transition: border 0.15s linear 0s, box-shadow 0.15s linear 0s, color 0.15s linear 0s; -o-transition: border 0.15s linear 0s, box-shadow 0.15s linear 0s, color 0.15s linear 0s; } #hongkiat-form .txtinput:focus { color: #333; border-color: rgba(41, 92, 161, 0.4); box-shadow: 0 1px 3px rgba(0, 0, 0, 0.1) inset, 0 0 8px rgba(41, 92, 161, 0.6); -moz-box-shadow: 0 1px 3px rgba(0, 0, 0, 0.1) inset, 0 0 8px rgba(41, 92, 161, 0.6); -webkit-box-shadow: 0 1px 3px rgba(0, 0, 0, 0.1) inset, 0 0 8px rgba(41, 92, 161, 0.6); outline: 0 none; } #hongkiat-form input#name { background: #fff url(\’images/user.png\’) 5px 4px no-repeat; } #hongkiat-form input#email { background: #fff url(\’images/email.png\’) 5px 4px no-repeat; } #hongkiat-form input#website { background: #fff url(\’images/website.png\’) 5px 4px no-repeat; } #hongkiat-form input#telephone { background: #fff url(\’images/phone.png\’) 5px 4px no-repeat; } #hongkiat-form textarea { display: block; font-family: \”Helvetica Neue\”, Arial, sans-serif; border-style: solid; border-width: 1px; border-color: #dedede; margin-bottom: 15px; font-size: 1.5em; padding: 11px 25px; padding-left: 55px; width: 90%; height: 180px; color: #777; box-shadow: 0 1px 3px rgba(0, 0, 0, 0.1) inset; -moz-box-shadow: 0 1px 3px rgba(0, 0, 0, 0.1) inset; -webkit-box-shadow: 0 1px 3px rgba(0, 0, 0, 0.1) inset; transition: border 0.15s linear 0s, box-shadow 0.15s linear 0s, color 0.15s linear 0s; -webkit-transition: border 0.15s linear 0s, box-shadow 0.15s linear 0s, color 0.15s linear 0s; -moz-transition: border 0.15s linear 0s, box-shadow 0.15s linear 0s, color 0.15s linear 0s; -o-transition: border 0.15s linear 0s, box-shadow 0.15s linear 0s, color 0.15s linear 0s; } #hongkiat-form textarea:focus { color: #333; border-color: rgba(41, 92, 161, 0.4); box-shadow: 0 1px 3px rgba(0, 0, 0, 0.1) inset, 0 0 8px rgba(40, 90, 160, 0.6); -moz-box-shadow: 0 1px 3px rgba(0, 0, 0, 0.1) inset, 0 0 8px rgba(40, 90, 160, 0.6); -webkit-box-shadow: 0 1px 3px rgba(0, 0, 0, 0.1) inset, 0 0 8px rgba(40, 90, 160, 0.6); outline: 0 none; } #hongkiat-form textarea.txtblock { background: #fff url(\’images/speech.png\’) 5px 4px no-repeat; } #hongkiat-form #slider { width: 60%; } #hongkiat-form #aligned { box-sizing: border-box; float: left; width: 450px; margin-right: 50px; } #hongkiat-form #aside { float: left; width: 250px; padding: 0; box-sizing: border-box; } #wrapping { width: 100%; box-sizing: border-box; } span.radiobadge { display: block; margin-bottom: 8px; } span.radiobadge label { font-size: 1.2em; padding-bottom: 4px; } select.selmenu { font-size: 17px; color: #676767; padding: 9px !important; border: 1px solid #aaa; width: 200px; } /** custom buttons **/ #buttons { display: block; padding-top: 10px; } #buttons #resetbtn { display: block; float: left; color: #515151; text-shadow: -1px 1px 0px #fff; margin-right: 20px; height: 3em; padding: 0 1em; outline: 0; font-weight: bold; font-size: 1.3em; white-space: nowrap; word-wrap: normal; vertical-align: middle; cursor: pointer; -moz-border-radius: 2px; -webkit-border-radius: 2px; border-radius: 2px; background-color: #fff; background-image: -moz-linear-gradient(top, rgb(255,255,255) 2%, rgb(240,240,240) 2%, rgb(222,222,222) 100%); background-image: -webkit-gradient(linear, left top, left bottom, color-stop(2%,rgb(255,255,255)), color-stop(2%,rgb(240,240,240)), color-stop(100%,rgb(222,222,222))); background-image: -webkit-linear-gradient(top, rgb(255,255,255) 2%,rgb(240,240,240) 2%,rgb(222,222,222) 100%); background-image: -o-linear-gradient(top, rgb(255,255,255) 2%,rgb(240,240,240) 2%,rgb(222,222,222) 100%); background-image: -ms-linear-gradient(top, rgb(255,255,255) 2%,rgb(240,240,240) 2%,rgb(222,222,222) 100%); background-image: linear-gradient(top, rgb(255,255,255) 2%,rgb(240,240,240) 2%,rgb(222,222,222) 100%); filter: progid:DXImageTransform.Microsoft.gradient( startColorstr=\’#ffffff\’, endColorstr=\’#dedede\’,GradientType=0 ); border: 1px solid #969696; box-shadow: 0 1px 2px rgba(144, 144, 144, 0.4); -moz-box-shadow: 0 1px 2px rgba(144, 144, 144, 0.4); -webkit-box-shadow: 0 1px 2px rgba(144, 144, 144, 0.4); text-shadow: 0 1px 1px rgba(255, 255, 255, 0.75); } #buttons #resetbtn:hover { text-shadow: 0 1px 1px rgba(255, 255, 255, 0.75); color: #818181; background-color: #fff; background-image: -moz-linear-gradient(top, rgb(255,255,255) 2%, rgb(244,244,244) 2%, rgb(229,229,229) 100%); background-image: -webkit-gradient(linear, left top, left bottom, color-stop(2%,rgb(255,255,255)), color-stop(2%,rgb(244,244,244)), color-stop(100%,rgb(229,229,229))); background-image: -webkit-linear-gradient(top, rgb(255,255,255) 2%,rgb(244,244,244) 2%,rgb(229,229,229) 100%);background-image: -o-linear-gradient(top, rgb(255,255,255) 2%,rgb(244,244,244) 2%,rgb(229,229,229) 100%); background-image: -ms-linear-gradient(top, rgb(255,255,255) 2%,rgb(244,244,244) 2%,rgb(229,229,229) 100%); background-image: linear-gradient(top, rgb(255,255,255) 2%,rgb(244,244,244) 2%,rgb(229,229,229) 100%); filter: progid:DXImageTransform.Microsoft.gradient( startColorstr=\’#ffffff\’, endColorstr=\’#e5e5e5\’,GradientType=0 ); border-color: #aeaeae; box-shadow: inset 0 1px 0 rgba(256,256,256,0.4),0 1px 3px rgba(0,0,0,0.5); } #submitbtn { display: block; float: left; height: 3em; padding: 0 1em; border: 1px solid; outline: 0; font-weight: bold; font-size: 14px; color: #fff; text-shadow: 0px 1px 0px #222; white-space: nowrap; word-wrap: normal; vertical-align: middle; cursor: pointer; -moz-border-radius: 2px; -webkit-border-radius: 2px; border-radius: 2px; border-color: #5e890a #5e890a #000; -moz-box-shadow: inset 0 1px 0 rgba(256,256,256, .35); -ms-box-shadow: inset 0 1px 0 rgba(256,256,256, .35); -webkit-box-shadow: inset 0 1px 0 rgba(256,256,256, .35); box-shadow: inset 0 1px 0 rgba(256,256,256, .35); background-color: rgb(226,238,175); background-image: -moz-linear-gradient(top, rgb(226,238,175) 3%, rgb(188,216,77) 3%, rgb(144,176,38) 100%); background-image: -webkit-gradient(linear, left top, left bottom, color-stop(3%,rgb(226,238,175)), color-stop(3%,rgb(188,216,77)), color-stop(100%,rgb(144,176,38))); background-image: -webkit-linear-gradient(top, rgb(226,238,175) 3%,rgb(188,216,77) 3%,rgb(144,176,38) 100%); background-image: -o-linear-gradient(top, rgb(226,238,175) 3%,rgb(188,216,77) 3%,rgb(144,176,38) 100%); background-image: -ms-linear-gradient(top, rgb(226,238,175) 3%,rgb(188,216,77) 3%,rgb(144,176,38) 100%); background-image: linear-gradient(top, rgb(226,238,175) 3%,rgb(188,216,77) 3%,rgb(144,176,38) 100%); filter: progid:DXImageTransform.Microsoft.gradient( startColorstr=\’#e2eeaf\’, endColorstr=\’#90b026\’,GradientType=0 ); } #submitbtn:hover, #submitbtn:active { border-color: #7c9826 #7c9826 #000; color: #fff; -moz-box-shadow: inset 0 1px 0 rgba(256,256,256,0.4),0 1px 3px rgba(0,0,0,0.5); -ms-box-shadow: inset 0 1px 0 rgba(256,256,256,0.4),0 1px 3px rgba(0,0,0,0.5); -webkit-box-shadow: inset 0 1px 0 rgba(256,256,256,0.4),0 1px 3px rgba(0,0,0,0.5); box-shadow: inset 0 1px 0 rgba(256,256,256,0.4),0 1px 3px rgba(0,0,0,0.5); background: rgb(228,237,189); background: -moz-linear-gradient(top, rgb(228,237,189) 2%, rgb(207,219,120) 3%, rgb(149,175,54) 100%); background: -webkit-gradient(linear, left top, left bottom, color-stop(2%,rgb(228,237,189)), color-stop(3%,rgb(207,219,120)), color-stop(100%,rgb(149,175,54))); background: -webkit-linear-gradient(top, rgb(228,237,189) 2%,rgb(207,219,120) 3%,rgb(149,175,54) 100%); background: -o-linear-gradient(top, rgb(228,237,189) 2%,rgb(207,219,120) 3%,rgb(149,175,54) 100%); background: -ms-linear-gradient(top, rgb(228,237,189) 2%,rgb(207,219,120) 3%,rgb(149,175,54) 100%); background: linear-gradient(top, rgb(228,237,189) 2%,rgb(207,219,120) 3%,rgb(149,175,54) 100%); filter: progid:DXImageTransform.Microsoft.gradient( startColorstr=\’#e4edbd\’, endColorstr=\’#95af36\’,GradientType=0 ); } /** @group clearfix **/ .clearfix:after { content: \”.\”; display: block; clear: both; visibility: hidden; line-height: 0; height: 0; } .clearfix { display: inline-block; } html[xmlns] .clearfix { display: block; } * html .clearfix { height: 1%; } <!– // Form validation code will come here. function ainter() { x1 = eval(document.hongkiat.x1.value); x2 = eval(document.hongkiat.x2.value); y1 = eval(document.hongkiat.y1.value); y2 = eval(document.hongkiat.y2.value); findx = eval(document.hongkiat.findx.value); intery = y1 + ((findx-x1)*((y2-y1)/(x2-x1))); //alert("what"); if(document.hongkiat.roundin.value == "no"){ document.hongkiat.intery.value = intery; }else{ document.hongkiat.intery.value = Math.round(intery); } return false; } //

–>

Enter the Coordinates of First Points:X1Y1
Enter the Coordinates of Second Point:X2Y2
Enter the point whose value is required:X
Round the answerYesNo
Interpolated value:Y

How to Use this tool

It is very easy to use this tool, the value which you need assume it by a variable X and let us say its corresponding required value is Y. The values from which a straight line is made, assume it having names X1, Y1 and X2, Y2 as the coordinates.

This tool has a special feature of rounding it off. If you wants to round off then set this option as yes, otherwise set this option as No.

Examples of calculation

let us say we need load damaging factor for design of flexible pavement in transportation engineering where structural number is 3.65 so it comes between 3.60 and 3.70 where load of single axle is 9 k. load damaging factor for 3.60 is 0.0345 and for 3.70 is 0.0225 thus for for SN of 3.65 is 0.0285 as shown in the figure.

linear interpolation calculation example

Editorial Remarks:

The use of this table is under terms of use under privacy section of iamcivilengineer.com. The result or any loss or damage done by using this tool, iamcivilengineer.com would not be responsible. so be cautious in your calculation.

Hope you would like this tool, do share it with other civil engineers as well fellow.

Keywords for Interpolation Tool

Online Linear Interpolation calculation, Linear interpolation, linear interpolation tool, linear interpolation calculator, javascript linear interpolation, calculate linear interpolation

About author

Saad is a civil engineer by profession and love to explore innovative ideas relevant to construction, civil engineering, and home improvement. He loves writing about concrete, DIY guides, home improvement tips, technologies, and more.
    Related posts
    Construction IndustryContractor's EquipmentUncategorized

    6 Costly Mistakes to avoid while hiring the Home Builder

    Uncategorized

    What Is CNC Machining? 6 Most Common CNC Machines

    Home GuidesUncategorized

    Prestige Marigold Plots in North Bangalore

    Uncategorized

    ELECTRICAL DESIGN COURSE

    Sign up for our Newsletter and
    stay informed

    Leave a Reply

    Your email address will not be published. Required fields are marked *