Thermal growth calculator
Author: m | 2025-04-24
Previous blogs have defined thermal growth of rotating equipment and discussed several different methods to calculate the cold (ambient) alignment targets to compensate for thermal growth. The OL2R program (Off Line to Thermal Growth Calculator. This RotAlign feature allows technicians to input the material type, initial and final temperatures, and the height of the shaft. The calculator then
Thermal Oxide Growth Calculator - Wafer
Quick AnswersThermal Expansion is a property affection all materials that causes them to change their dimensions as temperature changes. As the temperature goes up, they get longer, for example.Machinists care about thermal expansion because it can affect their ability to hold tolerances.A Thermal Expansion Calculator, also called a Temperature Expansion Calculator or a Heat Expansion Calculator, will tell you how much thermal expansion is happening with your project.The easiest and most complete Thermal Expansion Calculator is our G-Wizard Calculator. Sign up for a 30-day free trial and the Thermal Expansion Calculator will keep working for life.Start Using G-Wizard Now, It's Free!Why Listen to Me, Bob Warfield?I've been helping CNC'ers for many years. CNCCookbook is the most popular CNC-related blog on the Internet with a wide margin: we get nearly 200,000 visitors a week to the site. G-Wizard has over 25,000 paying customers from thousands of the best CNC Manufacturers, Schools, and practitioners in the business.Learn more about Bob Warfield here.For the deep dive on thermal expansion, keep on reading below.What is Thermal Expansion?Whenever an object is heated or cooled, its length changes by an amount proportional to the original length and the change in temperature.Thermal Expansion is important to machinists because they're trying to manufacture parts within tolerances. In many cases, thermal expansion can change the dimension of parts sufficiently that it should be compensated for.Thermal Expansion CalculatorG-Wizard's Thermal Expansion Calculator is capable of calculating two types of thermal:Linear Thermal Expansion: This is suitable for basic measurements of long objects.Ring Thermal Expansion: This is helpful when considering thermal expansion of bores.G-Wizard’s Thermal Growth Calculator…It’s pretty simple to use:Select a material, and it will enter the Coefficient of Thermal Expansion for that material. Keep in mind the note at the bottom–it uses the average of thermal expansion coefficients across many alloys. For more precision, look up the exact coefficient for your material and enter it.I’d wait to see what the average reveals and if it's within a factor of 2x or so of worrying you, look up your exact material’s coefficient.Next, pick a temperature unit system, Fahrenheit or Celsius. Enter your Reference and Target temperatures. The standard temperature for measurements is 20 degrees C, and if you push the “Std Ref Temp” button that is what you’ll get.The reference temp is also referred to as the initial temperature and the target as the final temperature. Thermal Expansion is always calculated relative to a temperature change-the delta between the initial and final temperatures.Lastly, enter the object's length and/or a radius.As soon as you enter each variable, G-Wizard will tell you how much the temperature differential between the Reference and Target will move the material in length or radius.You can get a 30-day free trial of G-Wizard, and even after the trial expires, your Thermal Expansion Calculator will continue working.Start Using G-Wizard Now, It's Free!Thermal expansion equationYou can find the Thermal Expansion Equation in our article on Thermal Expansion Equations.Calculate Thermal Expansion of SteelLet’s consider a simple problem you might use the calculator
Thermal Silicon Oxide Growth Thickness Calculator
Twitter Linkedin Youtube WeChat Main navigation ">Home Products Liquid Cooling Systems Pumps Temperature Controllers Thermoelectric Coolers Thermoelectric Cooler Assemblies Custom Solutions Search Distributor Inventory Thermal Wizard Air Cooling Calculator Device Cooling Calculator Enclosure Cooling Calculator Liquid Cooling Calculator PCR Calculator Applications Medical Analytical Industrial Telecom Transportation Consumer Data Centers Optoelectronics Services Design Manufacturing Prototyping Service & Support Software Testing Technical Library Applications Notes Backgrounders Blog Catalogs Certifications and Approvals Datasheets Glossary Handbooks Presentations Press Releases Software Technical FAQ User Manuals Videos White Papers News Articles Events Media Coverage Press Releases About Careers Company FAQ Environment, Health and Safety Executive Team Privacy Policy Product Return Policy Quality Commitment Suppliers Terms of Use Contact Contact Us Chat with us Free Thermal Analysis Global Sales Contacts Request A Quote Authorized Distributors Search Distributor Inventory Facilities Products Thermoelectric Coolers Thermoelectric Coolers Laird Thermal Systems’ broad family of thermoelectric coolers provide design engineers with a wide range of cooling capacities, temperature differentials, form factors, finishing options and thermal cycling capabilities. Select from our standard thermoelectric cooler products or engage with a Laird thermal expert to quickly develop a custom thermoelectric cooling solution with our prototyping center for the optimum thermal management solution. Quick Links Contact Sales Sales and Support Centers Asia/Pacific: +86 755 3698 8333 x218 Americas: +1 919-597-7300 EMEA (DE): +49 8031 6192887 EMEA (SE): +46 31 7046757 EMEA (CZ) +420 488 575 111 Medical Industrial Telecom OptoelectronicsTherm Align - A Thermal Growth Calculator for Machine
For. Too much bearing preload drives up temperatures, and in the worst case, it leads to thermal runaway which will destroy the bearings in a hurry. They get hot, they expand, that increases the preload, which raises the friction, which makes them hotter, so they expand more, yada, yada.We can use G-Wizard to see how much expansion we’re talking about.The screen shot shows the scenario. Imagine we want to run our spindle bearings up to the point where they’re at 140 degrees. I’ve come across a number of references calling for this as a good goal or maximum for bearing temperature. Less and you don’t have as much preload as you could. More, and you may have the thermal runaway situation or break down your bearing grease.We can see that for a spindle 12″ long (object length) and 2″ in diameter, if we assume we’re starting from the reference temp (initial temperature) and running up to a final temperature of 140 degrees, we will see that spindle grow 0.006″ longer and 0.001″ larger in diameter. That’s pretty significant when bearing tolerances are measured in tenths!Or, consider a CNC machine’s leadscrew. Let’s say it is 30″ long. It is precisely calibrated at the reference temperature, but we’re running the machine on a hot day and we’re spinning the heck out of that lead screw. So it creeps up to 98 degrees final temperature or so. How much longer did it get?Turns out it grew about 0.0063″. Heck, even if you’re only machining a part that requires you to use 6″ of travel, that’s a difference of 0.0013″ in length that goes against the accuracy of your handwheels or of your calibrated CNC servos or steppers. That’s a lot of error!Hence manual machines benefit from DRO’s that tell how far the axis really moved and CNC machines benefit from scales that are essentially DRO’s telling the controller the same thing.In some cases the CNC may rely on a temperature sensor to estimate, but the scale is a better solution because it tells how far the axis really moved and allows you to ignore thermal expansion (for the most part).Aluminum Thermal Expansion CalculatorAluminum has a much higher Coefficient of Thermal Expansion than Steel. Since we are often machining aluminum, this can have a real impact on our tolerances.As you can see from our thermal expansion calculator for aluminum, just a warm summer day can impact aluminum almost as much as our 140F bearing calculation above:Use this aluminum heat expansion calculator to figure out what's going on in your aluminum parts due to temperature effects.How to Reduce Thermal ExpansionWhen doing high-tolerance machining and manufacturing work, it is important to reduce thermal expansion as much as possible.There are 4 basic ways to reduce thermal expansion or its impact:Reduce contact with heat sources.Control the environment.Allow thermal stabilization.Correct for thermal expansion.Note that your own body heat is a thermal source that can cause thermal expansion. In terms of reducing contact with heat sources, try to avoid:Body heatEquipment. Previous blogs have defined thermal growth of rotating equipment and discussed several different methods to calculate the cold (ambient) alignment targets to compensate for thermal growth. The OL2R program (Off Line to Thermal Growth Calculator. This RotAlign feature allows technicians to input the material type, initial and final temperatures, and the height of the shaft. The calculator thenThermal Oxide Growth Calculator - XIAMEN POWERWAY
IntroductionThe Coefficient of Thermal Expansion (CTE) is a critical property of materials, and it describes how a material’s dimensions change with temperature variations. This fundamental concept is vital in fields such as engineering, construction, and material science. The CTE Calculator simplifies the process of determining how a material will expand or contract with changes in temperature. In this article, we will explore what the CTE is, the formula used in the CTE Calculator, how to use this tool effectively, provide an illustrative example, and address frequently asked questions.Formula:The CTE is typically defined as the fractional change in a material’s dimensions (length, area, or volume) per unit change in temperature. The formula for calculating the CTE is as follows:CTE (α) = (ΔL / (L₀ * ΔT))Where:CTE (α) is the coefficient of thermal expansion.ΔL represents the change in length.L₀ is the initial length.ΔT is the change in temperature.This formula allows you to determine how a material’s dimensions will change with temperature fluctuations.How to Use?Using the CTE Calculator is a user-friendly process. Follow these steps to make precise calculations:Input the change in length (ΔL).Enter the initial length (L₀).Input the change in temperature (ΔT).Click the “Calculate” button.The calculator will provide the coefficient of thermal expansion (CTE) as the output. This value is crucial for predicting how a material will behave when subjected to varying temperature conditions.Example:To better understand how the CTE Calculator works, consider a practical example. Let’s say you have a steel rod with an initial length of 1 meter, and it expands by 0.001 meters when the temperature increases by 50 degrees Celsius.Input the change in length (ΔL): 0.001 metersEnter the initial length (L₀): 1 meterInput the change in temperature (ΔT): 50 degrees CelsiusClick “Calculate”The CTE Calculator will display the coefficient of thermal expansion (CTE) for steel, which is approximately 0.00001 per degree Celsius. This value quantifies how steel expands or contracts with changes in temperature.FAQs?Q1: Why is the CTE important in materials science and engineering?A1: The CTE is crucial because it helps engineers and scientists predict how materials will respond to temperature changes. This information is essential for designing structures, components, and systems that operate under various thermal conditions.Q2: Can the CTE be different for different materials?A2: Yes, each material has a unique CTE, and it can vary significantly from one material to another. For example, metals typically have a higher CTE than ceramics.Q3: Can the CTE change with temperature for a single material?A3: Yes, the CTE can change with temperature, especially for certain materials like polymers. It’s essential to consider this when working with materials that exhibit nonlinear thermal expansion behavior.Conclusion:The CTE (Coefficient of Thermal Expansion) Calculator is an invaluable tool for engineers, material scientists, and anyone working with materials subject to temperature variations. It simplifies the complex task of predicting how materials will expand or contract with changes in temperature. By understanding the formula and using this calculator, you can make informed decisions in design, construction, and materials selection. Whether you’re building structures, designing components, or analyzing material behavior,Therm Align - A Thermal Growth Calculator for Machine Alignment
Thermal Insulation R-Value Calculator Calculate the R-Value of thermal insulation material based on its thickness and thermal conductivity. Instructions: Enter the insulation thickness (in inches or meters). Enter the thermal conductivity of the material (in W/m·K or BTU·in/hr·ft²·°F). Choose the unit system (Metric or Imperial). Click “Calculate R-Value” to calculate the R-Value of the material. The result will display the R-Value based on your inputs. When it comes to building or renovating your home, understanding thermal insulation is critical for maintaining comfort and energy efficiency. One of the most important factors to consider is the R-value of the insulation material. The R-value is a measure of how well a material resists the flow of heat, helping to determine its effectiveness in insulating your home. A Thermal Insulation R-Value Calculator can help you choose the right insulation for your needs, optimizing energy savings and environmental comfort.In this guide, we will explain what R-value is, how to use a Thermal Insulation R-Value Calculator, and provide essential insights into thermal insulation for better building performance.What is R-Value?R-value is a measure of thermal resistance. It indicates how well an insulation material can resist the transfer of heat. The higher the R-value, the better the material is at insulating and preventing heat loss or gain. The R-value depends on the type, thickness, and density of the insulation material.For example:Fiberglass insulation might have an R-value between 3.0 to 4.0 per inch of thickness.Spray foam insulation typically has a higher R-value, ranging from 5.0 to 7.0 per inch.In simple terms, a higher R-value means better insulation performance. Proper insulation with an appropriate R-value can reduce the energy needed to heat or cool a building, leading to lower energy bills and greater comfort.Why is R-Value Important?Energy EfficiencyThe higher the R-value of your insulation, the better it can helpCouple6 Software: Thermal Growth Targets and Foot Calculator
From a gold wire. Heating the dots in various combinations is what formed the display of numbers and characters.When they first tried to use thermal printing, they found that it was difficult to direct current via the leads to just the hot spots, which were resistors. Jerry’s key innovation was to put switching drive transistors in the hot spots and place booster amplifiers on the same silicon chip. Jerry also put in an automatic circuit to sum the heat build-up and reduce the rate of the final pulses. That enabled the printing to be more legible. Without that circuit, the pulses tended to get too hot.To prevent thermal buildup in the printhead, print duration was adjusted downward as a print cycle proceeded. Jerry wound up receiving three improvement patents on thermal printing. Those patents were later used in a number of TI products, including the first portable thermal printer, the Silent 700 Series Terminal, which was marketed in 1971.To advance the paper tape of the thermal printer, the team tried to make a paper fork with a ratchet mechanism and a capstan. They didn’t wind up using it, though, because it required too much power. They needed something that could be powered by smaller battery cells. John McCrady wound up creating an inertia clutch in which a solenoid pulled a clapper comprised of a ferromagnetic material. By inertia, the clapper lifted the clutch out. The clutch and the clutch plate gripped the paper tape.The paper drive was unique by virtue of the fact that driving the paper forward didn't occur when the solenoid was activated. Maximum force was applied when the return spring was fully compressed and electrical current was released in the solenoid. An internal clutch spring, which was secured to the clapper, would thrust the clapper forward. That advanced the paper tape forward a single character length.McCrady wound up getting a patent (U.S. Patent No. 3,520,459) on the tape advance system used in the original calculator. When the calculator was copied in Japan by Canon Inc., they were able to make the ratchet and capstan work.Excess-3 Binary LogicTo perform arithmetic operations on the numbers keyed into the calculator, each individual number was converted into a 4-digit binary (1s and 0s) form known as excess-3 (XS-3). XS-3 is derived by adding 3 to each decimal number and then converting the result to binary.For example, the number 6 is encoded in XS-3 as the binary form of the number 9, which is 1001. For a two-digit number such as 56, the 5 and the 6 would get encoded individually. In XS-3, 5 is 1000 and 6 is 1001, so 56 in XS-3 is 10001001. Jerry chose to use XS-3 at the start of the project. He had read about it years prior and decided to use it based on the advantages over normal binary.LSI Slicing5. The photograph shows one of the four silicon circular slices (wafers), which contained the calculator logic. Each slice was mounted into an indentation on aThe thermal growth coefficient (TGC) model of fish growth: a
Puppy Growth Calculator: How to Predict Your Dog’s Adult Size and WeightDo you have a new puppy and wonder how big they will grow up to be? Do you want to track your puppy’s growth and development and make sure they are healthy and happy? If so, you might be interested in using a puppy growth calculator, a handy tool that helps you predict your dog’s adult size and weight based on their current age, weight, and breed.In this article, we will explain how to use the puppy growth calculator, what factors affect your puppy’s growth rate, and how to care for your puppy during their growth stages. We will also answer some frequently asked questions about puppy growth and development. Let’s get started!Key TakeawaysThe puppy growth calculator estimates your dog’s adult size and weight based on their current age, weight, and breed. You can use this calculator to monitor your puppy’s growth and development and compare it with the average growth rate of their breed.The average puppy growth rate varies depending on the breed, size, gender, health, and nutrition of your puppy. Generally, smaller breeds grow faster and reach their adult size sooner than larger breeds, and female dogs tend to be smaller than male dogs of the same breed.To use the puppy growth calculator, you need to enter your puppy’s age, weight, and breed, and the calculator will give you the predicted adult size and weight for your puppy. You can also see the growth chart and the growth curve for your puppy’s breed, and compare your puppy’s growth with the average growth of their breed.You should take good care of your puppy during their growth stages, by providing a balanced diet, regular exercise, routine checkups, vaccinations, deworming, and spaying/neutering. You should also consult your veterinarian before, during, and after your puppy’s growth, especially if you notice any signs of abnormal growth or health issues.How to Use the Puppy Growth CalculatorThe puppy growth calculator is a simple and easy-to-use tool that helps you predict your dog’s adult size and weight based on their current age, weight, and breed. You can use this calculator to monitor your puppy’s growth and development and compare it with the average growth rate of their breed.To use the puppy growth calculator, you need to follow these steps:Enter your puppy’s age. You can enter the age in weeks or months. The age affects your. Previous blogs have defined thermal growth of rotating equipment and discussed several different methods to calculate the cold (ambient) alignment targets to compensate for thermal growth. The OL2R program (Off Line to Thermal Growth Calculator. This RotAlign feature allows technicians to input the material type, initial and final temperatures, and the height of the shaft. The calculator then
Understand Thermal Growth in Rotating Machinery
Issued on June 25, 1974.The PocketronicWhen the Cal-Tech calculator was completed, TI felt they still lacked the experience to sell consumer products.4 In 1969, they decided to form a joint venture with Canon Inc. in Japan to market the calculator. One of the Cal-Tech prototypes was sent to Canon for their engineers to examine.In April 1971, Canon and TI introduced the first calculator on the market known as the Pocketronic. The Pocketronic was a copy in concept of the Cal-Tech calculator, except it used MOS circuitry (manufactured by Texas Instruments) instead of bipolar circuitry. The display mechanism was still under development, so the Canon calculator also used thermal printing.By 1972, five million pocket calculators had been sold in the United States. In April of 1972, TI announced its own calculator, the TI-2500 Datamath, with an 8-digit LED display. They sold the calculator for a price of $149.99. By January 1976, it’s estimated that more than 100 million handheld calculators were in use worldwide.In July 1974, a month after the patent issued, Jack Kilby wrote a letter to Harold “Hal” Levine, an Assistant Vice President and patent attorney at TI, indicating Jerry should get due credit for his contributions to the calculator. Kilby had high praise for Jerry's contributions and gave him credit as general manager for the project’s success, as well as for designing all of the electronic circuitry.TI went on to fabricate and market very large integrated circuits under the name Discretionary Routed Array (DRA). It was an outgrowth of the technology used for the circuitry in Cal-Tech. Over a period of several years, TI sold DRAs to many customers, including IBM, Burroughs, and Raytheon. In December 1975, Jerry was elected as a TI Fellow for his work on the calculator, as well as for his pioneering work in computer-driven, opto-mechanical apparatus used in DRA and photolithography.Having long been a student of optical design, Jerry was later assigned to the Computer Imaging Branch, where he applied optics and electronics to a family of high-speed laser writers used in submicron lithography. One of these was a 16,000-pound granite block machine with air-bearing stages writing 400 Mpixels/s with ½-micron pixels and ¼-micron addressability on plates up to 24 × 27 inches. According to the best available measuring machines, it had a root-mean-square accuracy of 0.15 microns.In 1987, Jerry received the Haggerty Award for Innovation from Texas Instruments for his improvements to the design and development of thermal printing. Pat Haggerty presented the award to seven people for their work on thermal printing. Most of those people, except for Jerry, had worked at TI in Houston on the Silent 700 Series Terminals. In 1989, Jerry was awarded the Holley medal by the American Society of Mechanical Engineers. Other notable recipients include Henry Ford (1936), Edwin Land (1948), William Shockley (1963), Harold Edgerton (1973), and Soichiro Honda (1980). In 1993, Jerry retired from TI after 30 years of employment. He later returned to TI as a consultant and worked on the digital-light-processing (DLP)Thermal growth and alignment - Plant Services
Download this article in PDF format.In Part 1 of the story behind the invention of the handheld calculator, we left off with the development of the power supply. Part 2 concludes the story, kicking off with how the keyboard came about…The KeyboardThomas M. Okon, COMPLEAT Implementations Team Lead at ConcurIn 1966, there were no cheap, reliable keyboards. The keyboards that did exist were too bulky and expensive to work for the calculator. Jim Van Tassel took on the task of designing a small, power-efficient keyboard. Van Tassel and Jerry Merryman together came up with the solution for the keyboard contacts.Underneath the keys are helix springs and thin, gold-plated, copper strips. Pressing a key shorts its strips with conductors on a printed circuit board referred to as the keyboard encoder. Those conductors connect to output terminals that get shorted in unique combinations to represent in a binary form which key was pressed. The unique electrical signal produced would then get transmitted to the processing circuitry. Van Tassel and Jack Kilby filed U.S. Patent 3,819,921 specifically for the keyboard keys and encoder.Thermal PrintingFor the display mechanism to show the request arithmetic and calculated result, the original idea was to use neon lights. They determined that wouldn’t work because neon lights required too much power. Another option was to use light-emitting diodes (LEDs). LEDs were being manufactured at the time by TI’s SC Division; however, they were expensive and difficult to produce. By their calculations, the LEDs would drain too much power from the calculator’s batteries. Kilby suggested they do thermal printing on paper tape.In 1965, researchers in Kilby’s lab had developed the first semiconductor thermal printhead using monolithic, silicon integrated-circuit technology. The low-power printhead would “burn” images onto heat-sensitive paper. In 1966, the team decided to use the breakthrough technology to develop a built-in thermal tape printer for their calculator.4. The Cal-Tech printer’s ceramic header consisted of 19 gold plated leads. Connections to the back of the IC were made through three holes using gold-wire thermo-compression bonding.The thermal printer they created consisted of a silicon IC cemented to the back surface of a ceramic header. It used power from a 12-V system to heat up to 270°C. It had a heat time of 10 ms and was able to print about 12 characters per second.Each of the three holes in Figure 4 had five thermally distinct leads. There were also leads for ground, +12 V, +3 V, and gate rail voltage. Small epoxy dabs were placed over the wire bonds to secure the gold wires. The back surface of the IC was a thermal printhead coated with silicon nitride for durability.The print face consisted of a silicon 3 × 5 matrix of dots known as “hot spots,” which made contact with the thermal paper tape. The 3 × 5 dots were etched to be separate entities, so that they could be thermally distinct. Each of the 15 dots was directly heated by a drive transistor and its load resistor, which received current. Previous blogs have defined thermal growth of rotating equipment and discussed several different methods to calculate the cold (ambient) alignment targets to compensate for thermal growth. The OL2R program (Off Line toShaft Alignment Basics: Thermal Growth
By Thermal InsulationThen tap the calculate button to display the results.CORRECTION FACTORS:Cg : GroupingCa : Ambient air temperatureCa : Ambient ground temperatureCi : Thermal insulationCc : BS 3036 semi-enclosed fuse Step 2 Cable Size Calculator Resulting Cable Size Cable Size Calculation Results The cable sizing calculation results screen displays your circuit design data, selected options, cable size and other related calculation results.Cable Size Calculations:It : Tabulated currentR1+R2 : Circuit expected R1+R2 valueZs : Circuit expected Zs valueMax Zs : Calculated max Zs values for 0.2s, 0.4s & 5s (80% + 100% values)Vd : Calculated voltage drop %CF : Total applied correction factor valueMinimum required cable size (mm²) Saves Time QUICK AND EASY CABLE CALCS Calculating cable sizes need not be daunting, let the cable calc app do it for you.Other Features✔ Print cable calculator results✔ Verification and validation checks✔ Support for manufacturer specific MCCB’s & ACB’s (max Zs)✔ Support for RCD’s in TT Earthing Systems Quick and easySaves time Print the resultsDigitally sign Print the results FAQ's FREQUENTLY ASKED QUESTIONS What are correction factors?Correction factors are multipliers applied to cable sizing calculations for specific circumstances.Correction factors include:Cg GroupingCa Ambient air temperatureCa Ambient ground temperatureCi Thermal insulationCc BS 3036 semi-enclosed fusesWhat is Zdb?Zdb (ZDB) is the term generally used to refer to the earth loop impedance at a distribution board.What is design current?The circuit design current is the minimum amount of current the circuit needs to be able to sustain in normal use.To calculate the design current or maximum demand check out our Diversity / Maximum Demand Calculator App.What is Voltage drop?Voltage drop is the amount of volts lost due to the resistance of a cable, the longer the cable is the higher the volt drop will be.This is also true for varying cable sizes, the smaller the cable the higher the voltage drop will be, hence for long circuits a larger cable might be required to satisfy the maximum permitted voltage drop. Volt Drop Calculation VOLTAGE DROP CALCULATOR This cable calculator will also calculate and apply a voltage drop calculation as part of the cable sizing calculation process. Volt drop is generally measured in mV (millivolts) or as a percent (%), 1 millivolt is one thousandth of a volt.If a cable calculation fails the Volt drop maximum but passes all other requirements such as Max Zs, Current Carrying Capacity etc. then you will be prompted with a message “Volt Drop Compliance Failed, try next cable size up?” to select the next larger cable size to then try the full calculation again until all of the requirements are met before selecting the most suitable cable size.If you only need to carry out a Voltage Drop Calculation and not a Cable SizeComments
Quick AnswersThermal Expansion is a property affection all materials that causes them to change their dimensions as temperature changes. As the temperature goes up, they get longer, for example.Machinists care about thermal expansion because it can affect their ability to hold tolerances.A Thermal Expansion Calculator, also called a Temperature Expansion Calculator or a Heat Expansion Calculator, will tell you how much thermal expansion is happening with your project.The easiest and most complete Thermal Expansion Calculator is our G-Wizard Calculator. Sign up for a 30-day free trial and the Thermal Expansion Calculator will keep working for life.Start Using G-Wizard Now, It's Free!Why Listen to Me, Bob Warfield?I've been helping CNC'ers for many years. CNCCookbook is the most popular CNC-related blog on the Internet with a wide margin: we get nearly 200,000 visitors a week to the site. G-Wizard has over 25,000 paying customers from thousands of the best CNC Manufacturers, Schools, and practitioners in the business.Learn more about Bob Warfield here.For the deep dive on thermal expansion, keep on reading below.What is Thermal Expansion?Whenever an object is heated or cooled, its length changes by an amount proportional to the original length and the change in temperature.Thermal Expansion is important to machinists because they're trying to manufacture parts within tolerances. In many cases, thermal expansion can change the dimension of parts sufficiently that it should be compensated for.Thermal Expansion CalculatorG-Wizard's Thermal Expansion Calculator is capable of calculating two types of thermal:Linear Thermal Expansion: This is suitable for basic measurements of long objects.Ring Thermal Expansion: This is helpful when considering thermal expansion of bores.G-Wizard’s Thermal Growth Calculator…It’s pretty simple to use:Select a material, and it will enter the Coefficient of Thermal Expansion for that material. Keep in mind the note at the bottom–it uses the average of thermal expansion coefficients across many alloys. For more precision, look up the exact coefficient for your material and enter it.I’d wait to see what the average reveals and if it's within a factor of 2x or so of worrying you, look up your exact material’s coefficient.Next, pick a temperature unit system, Fahrenheit or Celsius. Enter your Reference and Target temperatures. The standard temperature for measurements is 20 degrees C, and if you push the “Std Ref Temp” button that is what you’ll get.The reference temp is also referred to as the initial temperature and the target as the final temperature. Thermal Expansion is always calculated relative to a temperature change-the delta between the initial and final temperatures.Lastly, enter the object's length and/or a radius.As soon as you enter each variable, G-Wizard will tell you how much the temperature differential between the Reference and Target will move the material in length or radius.You can get a 30-day free trial of G-Wizard, and even after the trial expires, your Thermal Expansion Calculator will continue working.Start Using G-Wizard Now, It's Free!Thermal expansion equationYou can find the Thermal Expansion Equation in our article on Thermal Expansion Equations.Calculate Thermal Expansion of SteelLet’s consider a simple problem you might use the calculator
2025-04-02Twitter Linkedin Youtube WeChat Main navigation ">Home Products Liquid Cooling Systems Pumps Temperature Controllers Thermoelectric Coolers Thermoelectric Cooler Assemblies Custom Solutions Search Distributor Inventory Thermal Wizard Air Cooling Calculator Device Cooling Calculator Enclosure Cooling Calculator Liquid Cooling Calculator PCR Calculator Applications Medical Analytical Industrial Telecom Transportation Consumer Data Centers Optoelectronics Services Design Manufacturing Prototyping Service & Support Software Testing Technical Library Applications Notes Backgrounders Blog Catalogs Certifications and Approvals Datasheets Glossary Handbooks Presentations Press Releases Software Technical FAQ User Manuals Videos White Papers News Articles Events Media Coverage Press Releases About Careers Company FAQ Environment, Health and Safety Executive Team Privacy Policy Product Return Policy Quality Commitment Suppliers Terms of Use Contact Contact Us Chat with us Free Thermal Analysis Global Sales Contacts Request A Quote Authorized Distributors Search Distributor Inventory Facilities Products Thermoelectric Coolers Thermoelectric Coolers Laird Thermal Systems’ broad family of thermoelectric coolers provide design engineers with a wide range of cooling capacities, temperature differentials, form factors, finishing options and thermal cycling capabilities. Select from our standard thermoelectric cooler products or engage with a Laird thermal expert to quickly develop a custom thermoelectric cooling solution with our prototyping center for the optimum thermal management solution. Quick Links Contact Sales Sales and Support Centers Asia/Pacific: +86 755 3698 8333 x218 Americas: +1 919-597-7300 EMEA (DE): +49 8031 6192887 EMEA (SE): +46 31 7046757 EMEA (CZ) +420 488 575 111 Medical Industrial Telecom Optoelectronics
2025-03-27IntroductionThe Coefficient of Thermal Expansion (CTE) is a critical property of materials, and it describes how a material’s dimensions change with temperature variations. This fundamental concept is vital in fields such as engineering, construction, and material science. The CTE Calculator simplifies the process of determining how a material will expand or contract with changes in temperature. In this article, we will explore what the CTE is, the formula used in the CTE Calculator, how to use this tool effectively, provide an illustrative example, and address frequently asked questions.Formula:The CTE is typically defined as the fractional change in a material’s dimensions (length, area, or volume) per unit change in temperature. The formula for calculating the CTE is as follows:CTE (α) = (ΔL / (L₀ * ΔT))Where:CTE (α) is the coefficient of thermal expansion.ΔL represents the change in length.L₀ is the initial length.ΔT is the change in temperature.This formula allows you to determine how a material’s dimensions will change with temperature fluctuations.How to Use?Using the CTE Calculator is a user-friendly process. Follow these steps to make precise calculations:Input the change in length (ΔL).Enter the initial length (L₀).Input the change in temperature (ΔT).Click the “Calculate” button.The calculator will provide the coefficient of thermal expansion (CTE) as the output. This value is crucial for predicting how a material will behave when subjected to varying temperature conditions.Example:To better understand how the CTE Calculator works, consider a practical example. Let’s say you have a steel rod with an initial length of 1 meter, and it expands by 0.001 meters when the temperature increases by 50 degrees Celsius.Input the change in length (ΔL): 0.001 metersEnter the initial length (L₀): 1 meterInput the change in temperature (ΔT): 50 degrees CelsiusClick “Calculate”The CTE Calculator will display the coefficient of thermal expansion (CTE) for steel, which is approximately 0.00001 per degree Celsius. This value quantifies how steel expands or contracts with changes in temperature.FAQs?Q1: Why is the CTE important in materials science and engineering?A1: The CTE is crucial because it helps engineers and scientists predict how materials will respond to temperature changes. This information is essential for designing structures, components, and systems that operate under various thermal conditions.Q2: Can the CTE be different for different materials?A2: Yes, each material has a unique CTE, and it can vary significantly from one material to another. For example, metals typically have a higher CTE than ceramics.Q3: Can the CTE change with temperature for a single material?A3: Yes, the CTE can change with temperature, especially for certain materials like polymers. It’s essential to consider this when working with materials that exhibit nonlinear thermal expansion behavior.Conclusion:The CTE (Coefficient of Thermal Expansion) Calculator is an invaluable tool for engineers, material scientists, and anyone working with materials subject to temperature variations. It simplifies the complex task of predicting how materials will expand or contract with changes in temperature. By understanding the formula and using this calculator, you can make informed decisions in design, construction, and materials selection. Whether you’re building structures, designing components, or analyzing material behavior,
2025-04-10Thermal Insulation R-Value Calculator Calculate the R-Value of thermal insulation material based on its thickness and thermal conductivity. Instructions: Enter the insulation thickness (in inches or meters). Enter the thermal conductivity of the material (in W/m·K or BTU·in/hr·ft²·°F). Choose the unit system (Metric or Imperial). Click “Calculate R-Value” to calculate the R-Value of the material. The result will display the R-Value based on your inputs. When it comes to building or renovating your home, understanding thermal insulation is critical for maintaining comfort and energy efficiency. One of the most important factors to consider is the R-value of the insulation material. The R-value is a measure of how well a material resists the flow of heat, helping to determine its effectiveness in insulating your home. A Thermal Insulation R-Value Calculator can help you choose the right insulation for your needs, optimizing energy savings and environmental comfort.In this guide, we will explain what R-value is, how to use a Thermal Insulation R-Value Calculator, and provide essential insights into thermal insulation for better building performance.What is R-Value?R-value is a measure of thermal resistance. It indicates how well an insulation material can resist the transfer of heat. The higher the R-value, the better the material is at insulating and preventing heat loss or gain. The R-value depends on the type, thickness, and density of the insulation material.For example:Fiberglass insulation might have an R-value between 3.0 to 4.0 per inch of thickness.Spray foam insulation typically has a higher R-value, ranging from 5.0 to 7.0 per inch.In simple terms, a higher R-value means better insulation performance. Proper insulation with an appropriate R-value can reduce the energy needed to heat or cool a building, leading to lower energy bills and greater comfort.Why is R-Value Important?Energy EfficiencyThe higher the R-value of your insulation, the better it can help
2025-04-02Puppy Growth Calculator: How to Predict Your Dog’s Adult Size and WeightDo you have a new puppy and wonder how big they will grow up to be? Do you want to track your puppy’s growth and development and make sure they are healthy and happy? If so, you might be interested in using a puppy growth calculator, a handy tool that helps you predict your dog’s adult size and weight based on their current age, weight, and breed.In this article, we will explain how to use the puppy growth calculator, what factors affect your puppy’s growth rate, and how to care for your puppy during their growth stages. We will also answer some frequently asked questions about puppy growth and development. Let’s get started!Key TakeawaysThe puppy growth calculator estimates your dog’s adult size and weight based on their current age, weight, and breed. You can use this calculator to monitor your puppy’s growth and development and compare it with the average growth rate of their breed.The average puppy growth rate varies depending on the breed, size, gender, health, and nutrition of your puppy. Generally, smaller breeds grow faster and reach their adult size sooner than larger breeds, and female dogs tend to be smaller than male dogs of the same breed.To use the puppy growth calculator, you need to enter your puppy’s age, weight, and breed, and the calculator will give you the predicted adult size and weight for your puppy. You can also see the growth chart and the growth curve for your puppy’s breed, and compare your puppy’s growth with the average growth of their breed.You should take good care of your puppy during their growth stages, by providing a balanced diet, regular exercise, routine checkups, vaccinations, deworming, and spaying/neutering. You should also consult your veterinarian before, during, and after your puppy’s growth, especially if you notice any signs of abnormal growth or health issues.How to Use the Puppy Growth CalculatorThe puppy growth calculator is a simple and easy-to-use tool that helps you predict your dog’s adult size and weight based on their current age, weight, and breed. You can use this calculator to monitor your puppy’s growth and development and compare it with the average growth rate of their breed.To use the puppy growth calculator, you need to follow these steps:Enter your puppy’s age. You can enter the age in weeks or months. The age affects your
2025-04-18Issued on June 25, 1974.The PocketronicWhen the Cal-Tech calculator was completed, TI felt they still lacked the experience to sell consumer products.4 In 1969, they decided to form a joint venture with Canon Inc. in Japan to market the calculator. One of the Cal-Tech prototypes was sent to Canon for their engineers to examine.In April 1971, Canon and TI introduced the first calculator on the market known as the Pocketronic. The Pocketronic was a copy in concept of the Cal-Tech calculator, except it used MOS circuitry (manufactured by Texas Instruments) instead of bipolar circuitry. The display mechanism was still under development, so the Canon calculator also used thermal printing.By 1972, five million pocket calculators had been sold in the United States. In April of 1972, TI announced its own calculator, the TI-2500 Datamath, with an 8-digit LED display. They sold the calculator for a price of $149.99. By January 1976, it’s estimated that more than 100 million handheld calculators were in use worldwide.In July 1974, a month after the patent issued, Jack Kilby wrote a letter to Harold “Hal” Levine, an Assistant Vice President and patent attorney at TI, indicating Jerry should get due credit for his contributions to the calculator. Kilby had high praise for Jerry's contributions and gave him credit as general manager for the project’s success, as well as for designing all of the electronic circuitry.TI went on to fabricate and market very large integrated circuits under the name Discretionary Routed Array (DRA). It was an outgrowth of the technology used for the circuitry in Cal-Tech. Over a period of several years, TI sold DRAs to many customers, including IBM, Burroughs, and Raytheon. In December 1975, Jerry was elected as a TI Fellow for his work on the calculator, as well as for his pioneering work in computer-driven, opto-mechanical apparatus used in DRA and photolithography.Having long been a student of optical design, Jerry was later assigned to the Computer Imaging Branch, where he applied optics and electronics to a family of high-speed laser writers used in submicron lithography. One of these was a 16,000-pound granite block machine with air-bearing stages writing 400 Mpixels/s with ½-micron pixels and ¼-micron addressability on plates up to 24 × 27 inches. According to the best available measuring machines, it had a root-mean-square accuracy of 0.15 microns.In 1987, Jerry received the Haggerty Award for Innovation from Texas Instruments for his improvements to the design and development of thermal printing. Pat Haggerty presented the award to seven people for their work on thermal printing. Most of those people, except for Jerry, had worked at TI in Houston on the Silent 700 Series Terminals. In 1989, Jerry was awarded the Holley medal by the American Society of Mechanical Engineers. Other notable recipients include Henry Ford (1936), Edwin Land (1948), William Shockley (1963), Harold Edgerton (1973), and Soichiro Honda (1980). In 1993, Jerry retired from TI after 30 years of employment. He later returned to TI as a consultant and worked on the digital-light-processing (DLP)
2025-04-09