Thermal Expansion Calculator
Calculate linear thermal expansion, final length, original length, temperature change, or coefficient of thermal expansion for common engineering materials.
Calculator is for informational purposes only. Terms and Conditions
Choose what to solve for
Select the unknown and choose a material preset or custom coefficient.
Enter the known values
Only the fields needed for the selected solve mode are shown.
Visual Check
The diagram shows original length, thermal expansion or contraction, and final length.
Solution
Live result, quick checks, warnings, and full solution steps.
Quick checks
- Check—
Show solution steps See conversions, equation substitution, assumptions, and result path
- Enter values to see the full solution steps and checks.
Source, Standards, and Assumptions
Calculation basis, constants, assumptions, and limitations.
Source/standard information updates based on the selected material and solve mode.
- Assumptions will appear after a valid calculation.
On this page
Calculator Guide
How to Use the Thermal Expansion Calculator
Use the Thermal Expansion Calculator above to estimate change in length, final length, temperature change, or coefficient of thermal expansion for metals, plastics, concrete, glass, and pipe materials. For linear expansion, the calculator uses \( \Delta L=\alpha L_0\Delta T \).
This page is designed for quick engineering checks, homework verification, pipe movement estimates, material comparison, dimensional tolerance review, and early-stage design decisions. It is most accurate when the material expands freely and the temperature change is uniform along the length.
Quick Answer
To calculate thermal expansion, multiply the material’s coefficient of linear thermal expansion by the original length and the temperature change. A positive result means expansion, while a negative result means contraction. For example, a 10 ft carbon steel member heated by \(60^\circ C\) expands by about \(2.19\,mm\), or \(0.0864\,in\), using \( \alpha = 12 \times 10^{-6}/^\circ C \).
Do not rely on the simplified result when…
Do not use a free-expansion result alone for final design when the member is fixed, restrained, welded, embedded, bolted at both ends, part of a pressure system, or exposed to large temperature swings. Restrained expansion can create thermal stress, buckling, cracking, joint movement, or pipe support loads that require a separate engineering check.
Inputs and Outputs Used by the Calculator
The calculator uses material, length, and temperature inputs to estimate thermal movement. Depending on the solve mode, it can also rearrange the formula to solve for original length, final length, temperature change, or coefficient.
| Type | Value | What It Means | Common Unit |
|---|---|---|---|
| Input | Original length, \(L_0\) | The starting length before heating or cooling. | m, mm, ft, in |
| Input | Initial temperature, \(T_1\) | The starting temperature of the material. | \(^\circ C\), \(^\circ F\), K |
| Input | Final temperature, \(T_2\) | The ending temperature after heating or cooling. | \(^\circ C\), \(^\circ F\), K |
| Input | Temperature change, \(\Delta T\) | The difference \(T_2-T_1\). This is what the formula uses. | \(^\circ C\), \(^\circ F\), K |
| Input | Coefficient, \(\alpha\) | How much the material expands per unit length per degree of temperature change. | \(1/^\circ C\), \(1/^\circ F\), \(\mu m/(m\cdot^\circ C)\) |
| Output | Change in length, \(\Delta L\) | The estimated expansion or contraction of the member. | m, mm, ft, in |
| Output | Final length, \(L_f\) | The original length plus the calculated length change. | m, mm, ft, in |
| Output | Expansion per foot or meter | A practical check for long runs such as pipe, rail, conduit, or framing members. | in/ft, mm/m |
Thermal Expansion Formula
Linear thermal expansion is calculated by multiplying the material coefficient by original length and temperature change. This estimates free movement along one dimension.
Main Linear Expansion Formula
Use this formula when you know the original length, the coefficient of linear thermal expansion, and the temperature change.
Final Length Formula
Use this to convert the calculated movement into the new length after heating or cooling.
Original Length Formula
Use this form when the length change, coefficient, and temperature change are known.
Temperature Change Formula
Use this rearranged form when you know the movement and want to estimate the temperature change that caused it.
Coefficient Formula
Use this form to estimate an apparent coefficient from measured movement, length, and temperature change.
Area and volume expansion
This calculator is focused on linear expansion. For isotropic materials, approximate area and volume expansion are often estimated from \( \Delta A\approx2\alpha A_0\Delta T \) and \( \beta\approx3\alpha \) for volume over small temperature changes, but those are separate assumptions from the one-dimensional length calculation.
What the Variables Mean
Every variable in the thermal expansion formula must use compatible units. The coefficient unit and temperature difference unit must match.
| Symbol | Meaning | How to Enter It |
|---|---|---|
| \(\Delta L\) | Change in length caused by temperature change. | Positive for expansion and negative for contraction. |
| \(\alpha\) | Coefficient of linear thermal expansion. | Use a material preset or enter a custom value from manufacturer or material data. |
| \(L_0\) | Original length before heating or cooling. | Enter the free length of the member, pipe run, rod, or component. |
| \(\Delta T\) | Temperature change, equal to \(T_2-T_1\). | Use a temperature difference, not just the final temperature. |
| \(T_1\) | Initial temperature. | Enter the starting temperature in \(^\circ C\), \(^\circ F\), or K. |
| \(T_2\) | Final temperature. | Enter the ending temperature in the selected unit system. |
| \(L_f\) | Final length after thermal movement. | Calculated as \(L_f=L_0+\Delta L\). |
How to Use the Calculator
Start by selecting what you want to solve for. Then choose a material preset or enter a custom coefficient, enter the known length and temperature values, and review the result, unit conversions, and sanity checks.
Choose the solve mode
Select change in length, final length, original length, temperature change, or coefficient of thermal expansion.
Select the material or coefficient
Use a material preset for a quick estimate or choose a custom coefficient when you have project-specific data.
Enter length and temperatures
Use initial and final temperatures when available. The calculator uses the difference between them as \( \Delta T \).
Check the result
Review the expansion sign, final length, metric/imperial equivalent, and whether the result seems reasonable for the material.
How to Interpret Thermal Expansion Results
A thermal expansion result tells you the free movement a material would experience if it were allowed to expand or contract. It does not automatically tell you the stress in a restrained member.
| Result Pattern | What It May Mean | What to Check Next |
|---|---|---|
| \(\Delta L=0\) | No temperature change, zero coefficient, or zero effective length. | Check whether \(T_1\) and \(T_2\) are actually different. |
| Positive \(\Delta L\) | The material expands because the final temperature is higher. | Check clearance, expansion joints, slots, or movement allowances. |
| Negative \(\Delta L\) | The material contracts because the final temperature is lower. | Check gaps, seals, joints, shrinkage allowance, or connection movement. |
| Very small result | Expected for short lengths, low coefficients, or small temperature changes. | Convert to mm or thousandths of an inch before deciding it is negligible. |
| Very large result | Usually caused by long length, large \(\Delta T\), high coefficient material, or a unit mistake. | Verify coefficient units, length units, and temperature scale. |
| Final length \(\le 0\) | Physically impossible for a normal member. | Recheck signs, units, and whether the formula is being used outside its assumptions. |
What to do with the result
Use the length change to check clearances, expansion joints, pipe loops, sliding supports, slotted holes, panel gaps, rail joints, or assembly tolerances. If the member is restrained, use the free expansion result as a warning sign that thermal stress may need to be evaluated separately.
What changes the result most?
The result changes in direct proportion to all three inputs: coefficient, length, and temperature change. Doubling the original length doubles the expansion. Doubling the temperature change also doubles the expansion. Switching from steel to a high-expansion plastic can increase movement several times even with the same length and temperature change.
Input Quality Checklist
Thermal expansion calculations are simple, but the inputs are easy to misuse. Check these items before relying on the output.
Use temperature change
The formula uses \(\Delta T\), not the final temperature by itself. \(80^\circ C\) final temperature is not the same as \(80^\circ C\) temperature change.
Match coefficient units
A coefficient in \(1/^\circ C\) must be paired with a Celsius or Kelvin temperature difference. Convert before using Fahrenheit differences.
Use the right material
Aluminum, steel, PVC, HDPE, glass, and concrete have very different coefficients. Do not use a generic value for final design.
Check whether movement is restrained
If both ends are fixed, the part may not move freely. The same thermal expansion may become stress instead of visible length change.
Step-by-Step Worked Examples
The examples below show how the same formula behaves for steel, aluminum, and PVC pipe. This helps compare materials and check whether a result is reasonable.
Formula and Substitution
Result
Carbon Steel Result
A 10 ft carbon steel member expands by about \(2.19\,mm\), or \(0.0864\,in\), for a \(60^\circ C\) temperature rise.
Substitution
Result
Aluminum Result
The same 10 ft aluminum member expands by about \(4.21\,mm\), or \(0.166\,in\). That is about 1.9 times the carbon steel movement.
Substitution
Result
PVC Pipe Result
A 100 ft PVC pipe can expand by about \(63.4\,mm\), or \(2.50\,in\), for a \(40^\circ C\) temperature rise.
What these examples show
Material choice matters. Aluminum expands much more than carbon steel, and plastic pipe materials can expand several times more than metals. Length also matters: small coefficients can create meaningful movement when the run is long.
Thermal Expansion Diagram
The diagram below shows the core idea behind the calculator without relying on an uploaded image. A member starts at original length \(L_0\), experiences a temperature change \(\Delta T\), and expands or contracts by \(\Delta L\). The movement is exaggerated for clarity because real expansion may be too small to see at page scale.
Coefficient of Thermal Expansion Table for Common Materials
Coefficients vary by alloy, grade, temperature range, manufacturer, moisture content, and composite orientation. Use these values as typical estimates, not final design data.
| Material | Typical \(\alpha\) | Relative to Carbon Steel | Practical Note |
|---|---|---|---|
| Invar | About \(1.2\,\mu m/(m\cdot^\circ C)\) | About 0.1× | Very low expansion alloy used where dimensional stability matters. |
| Borosilicate glass | About \(3.3\,\mu m/(m\cdot^\circ C)\) | About 0.3× | Lower expansion than common soda-lime glass. |
| Soda-lime glass | About \(9\,\mu m/(m\cdot^\circ C)\) | About 0.75× | Common glass estimate; exact value depends on composition. |
| Concrete | About \(10\,\mu m/(m\cdot^\circ C)\) | About 0.8× | Aggregate, mix, moisture, and restraint affect field behavior. |
| Brick masonry | About \(5\) to \(8\,\mu m/(m\cdot^\circ C)\) | About 0.4× to 0.7× | Movement joints depend on masonry type and wall system. |
| Granite | About \(8\,\mu m/(m\cdot^\circ C)\) | About 0.7× | Typical stone estimate; varies by mineral composition. |
| Carbon steel | About \(12\,\mu m/(m\cdot^\circ C)\) | 1.0× | Common engineering estimate for many steel members. |
| Cast iron | About \(10.5\,\mu m/(m\cdot^\circ C)\) | About 0.9× | Often near steel but depends on grade. |
| Stainless steel 304 | About \(17.3\,\mu m/(m\cdot^\circ C)\) | About 1.4× | Often higher than carbon steel. |
| Stainless steel 316 | About \(16\,\mu m/(m\cdot^\circ C)\) | About 1.3× | Use alloy-specific data for final design. |
| Copper | About \(16.5\,\mu m/(m\cdot^\circ C)\) | About 1.4× | Common in tubing, electrical, and heat transfer applications. |
| Brass | About \(19\,\mu m/(m\cdot^\circ C)\) | About 1.6× | Varies with alloy composition. |
| Aluminum | About \(23\,\mu m/(m\cdot^\circ C)\) | About 1.9× | Expands roughly about twice as much as carbon steel. |
| Titanium | About \(8.6\,\mu m/(m\cdot^\circ C)\) | About 0.7× | Lower than many common metals. |
| PVC | About \(52\,\mu m/(m\cdot^\circ C)\) | About 4.3× | Plastic pipe movement can be much larger than metal pipe movement. |
| CPVC | About \(65\,\mu m/(m\cdot^\circ C)\) | About 5.4× | Use manufacturer pipe data for design and supports. |
| PEX | About \(140\,\mu m/(m\cdot^\circ C)\) | About 11.7× | High expansion; routing and support details matter. |
| HDPE | About \(120\,\mu m/(m\cdot^\circ C)\) | About 10× | High expansion; long runs require careful movement allowance. |
| Acrylic | About \(70\,\mu m/(m\cdot^\circ C)\) | About 5.8× | Panels may need gaps or slotted holes. |
| Polycarbonate | About \(65\,\mu m/(m\cdot^\circ C)\) | About 5.4× | Use product data for glazing and panel systems. |
| Nylon | About \(80\,\mu m/(m\cdot^\circ C)\) | About 6.7× | Moisture absorption can also affect dimensions. |
| PTFE | About \(120\,\mu m/(m\cdot^\circ C)\) | About 10× | High expansion polymer; confirm grade-specific data. |
| Wood, parallel to grain | About \(3\) to \(5\,\mu m/(m\cdot^\circ C)\) | About 0.25× to 0.4× | Moisture movement often matters more than thermal movement. |
| Wood, perpendicular to grain | Varies widely | Material-dependent | Moisture, species, grain direction, and construction details dominate behavior. |
Coefficient values are not universal
A material preset is useful for a quick estimate, but final design should use the actual material grade, product data sheet, project specification, or manufacturer value.
Quick Reference: How Much Different Materials Expand
The table below uses the same length and temperature change for each material so you can quickly see which materials move more. These are approximate values for a 10 ft member heated by \(60^\circ C\).
| Material | Typical \(\alpha\) | Expansion | User Takeaway |
|---|---|---|---|
| Invar | \(1.2\times10^{-6}/^\circ C\) | About \(0.0086\,in\) | Very small movement. |
| Carbon steel | \(12\times10^{-6}/^\circ C\) | About \(0.0864\,in\) | Common baseline for metal comparison. |
| Aluminum | \(23\times10^{-6}/^\circ C\) | About \(0.1656\,in\) | Almost twice steel movement. |
| PVC | \(52\times10^{-6}/^\circ C\) | About \(0.374\,in\) | Plastic movement is much larger. |
| HDPE | \(120\times10^{-6}/^\circ C\) | About \(0.864\,in\) | Very high expansion; long runs need allowance. |
Rule of thumb
If two members have the same length and temperature change, the one with the higher coefficient expands more. That means a 100 ft run of plastic pipe can move dramatically more than a 100 ft run of steel pipe under the same temperature swing.
Thermal Expansion Design Checks for Pipes, Rails, Panels, and Supports
Thermal expansion is often small in short metal parts but important in long members, pipe runs, rails, bridges, panels, and assemblies with fixed supports. A mathematically correct free-expansion result may still be incomplete for design.
Short Metal Parts
Movement may be tiny, but it can still matter for precision assemblies, bearings, machining tolerances, or tight fits.
Long Pipe Runs
Long runs can accumulate enough movement to require loops, offsets, guides, sliding supports, or expansion joints.
Restrained Members
If the part cannot move freely, expansion may create thermal stress instead of visible length change.
Clearance and movement allowance
When using the result for practical design, ask where the movement can go. Common solutions include slotted holes, panel gaps, flexible joints, sliding supports, expansion loops, guide spacing, or movement joints. The correct detail depends on the material, system geometry, support layout, and design requirements.
Thermal Expansion in Pipes
Pipe expansion matters because pipe runs can be long, supported at many points, and connected to equipment, valves, anchors, walls, or fittings. Even a small expansion per foot can become several inches of movement over a long run.
Why Plastic Pipe Moves More
PVC, CPVC, PEX, HDPE, and other plastics usually have much higher coefficients of thermal expansion than steel or copper. That means plastic piping can need more generous movement allowance, especially in long exposed runs.
Common Movement Details
- Expansion loops or offsets
- Flexible connectors
- Sliding supports
- Guides and anchors
- Manufacturer-approved expansion joints
- Clearance at penetrations and walls
Pipe stress caution
A pipe that cannot move freely may develop stress and support loads instead of simply changing length. The calculator gives free expansion only; final pipe design may require pipe stress analysis, support review, manufacturer guidance, and applicable code checks.
Free Expansion vs Thermal Stress
The calculator estimates free movement. If a material is fully restrained, the same temperature change may create thermal stress instead of length change.
Simplified Fully Restrained Thermal Stress
This simplified stress estimate assumes a fully restrained, elastic member with uniform temperature change. It is not the same as the free expansion calculation.
| Case | What Happens | Main Calculation | Design Concern |
|---|---|---|---|
| Free member | The material changes length. | \(\Delta L=\alpha L_0\Delta T\) | Clearance and movement allowance. |
| Fully restrained member | The material cannot freely expand or contract. | \(\sigma \approx E\alpha\Delta T\) | Stress, buckling, cracking, connection force, or support load. |
| Partially restrained system | Some movement occurs and some stress develops. | Requires system-specific analysis. | Supports, stiffness, friction, geometry, and boundary conditions. |
Do not confuse movement with stress
A calculator result of \(0.25\,in\) does not mean the part will actually move \(0.25\,in\) if both ends are fixed. It means the part would move that amount if it were free. If restrained, stress and reactions may develop instead.
Unit Conversion Notes
Unit consistency is the most important part of thermal expansion calculations. The length unit can be converted easily, but coefficient units must match the temperature difference unit.
| Quantity | Conversion | Why It Matters |
|---|---|---|
| Length | \(1\,ft=0.3048\,m\) | Useful when converting U.S. customary lengths to SI for calculation. |
| Length | \(1\,in=25.4\,mm\) | Useful for reporting small expansions in practical field units. |
| Temperature difference | \(\Delta^\circ F=1.8\Delta^\circ C\) | Temperature differences convert differently than absolute temperatures. |
| Temperature difference | \(\Delta K=\Delta^\circ C\) | A 1 K temperature change equals a \(1^\circ C\) temperature change. |
| Coefficient | \(\alpha_{/^\circ F}=\alpha_{/^\circ C}/1.8\) | Use this when pairing a coefficient with a Fahrenheit temperature difference. |
| Coefficient | \(12\,\mu m/(m\cdot^\circ C)=12\times10^{-6}/^\circ C\) | Microstrain-style coefficient values must be converted to decimal form for manual calculation. |
Temperature difference vs absolute temperature
A temperature of \(68^\circ F\) converts to \(20^\circ C\), but a temperature change of \(68^\circ F\) does not convert to \(20^\circ C\). Temperature differences use \( \Delta^\circ F=1.8\Delta^\circ C \). This is one of the most common sources of wrong thermal expansion results.
Linear vs Area vs Volume Thermal Expansion
The calculator focuses on linear expansion because most practical questions ask how much a bar, pipe, rail, or straight member changes length. Area and volume expansion are related but not identical.
| Method | Formula | Best For | Main Caution |
|---|---|---|---|
| Linear expansion | \(\Delta L=\alpha L_0\Delta T\) | Rods, beams, pipes, rails, panels, and one-dimensional movement. | Does not calculate stress if movement is restrained. |
| Area expansion | \(\Delta A\approx 2\alpha A_0\Delta T\) | Flat plates or surfaces expanding in two directions. | Approximation assumes isotropic material and small temperature changes. |
| Volumetric expansion | \(\Delta V=\beta V_0\Delta T\) | Solids or fluids where volume change matters. | Fluids and anisotropic materials may require specific \(\beta\) values. |
| Thermal stress | \(\sigma \approx E\alpha\Delta T\) | Fully restrained members where expansion cannot occur freely. | Requires modulus, restraint assumptions, and engineering judgment. |
Common Mistakes That Cause Wrong Results
Most incorrect thermal expansion answers come from unit mismatch, using the wrong temperature value, or applying free-expansion math to a restrained system.
Common Mistakes
- Using final temperature instead of temperature change.
- Mixing \(/^\circ C\) coefficients with \(^\circ F\) temperature differences.
- Assuming material preset values are exact for every alloy or product.
- Ignoring contraction when the final temperature is lower than the initial temperature.
- Using free expansion as if it also calculates restrained thermal stress.
- Forgetting that plastics can expand much more than metals.
- Ignoring pipe supports, anchors, loops, and movement direction.
Better Practice
- Calculate \(\Delta T=T_2-T_1\) before applying the formula manually.
- Match coefficient and temperature units before calculating.
- Use manufacturer or material-grade data for final design.
- Keep the sign of \(\Delta T\) so contraction appears as a negative result.
- Check stress separately when movement is restrained.
- Add movement allowance for long pipe, rail, panel, and conduit runs.
- Check actual material temperature, not just ambient air temperature.
Why Your Thermal Expansion Result Looks Wrong
If the calculator result looks wrong, start by checking coefficient units, temperature difference, and length units. Those three inputs control the result directly.
| Problem | Likely Cause | Fix |
|---|---|---|
| Result is 1,000 times too large or small | Coefficient entered as \(12\) instead of \(12\times10^{-6}\), or mm/m confused with m/m. | Use the correct coefficient unit selector, such as \(\mu m/(m\cdot^\circ C)\). |
| Expansion is positive during cooling | The temperature difference sign was reversed. | Use \(\Delta T=T_2-T_1\). Cooling should produce negative \(\Delta T\). |
| Plastic pipe movement seems too high | It may actually be plausible because plastics have high expansion coefficients. | Compare the coefficient with steel and check manufacturer pipe data. |
| Steel expansion seems too large | Length may be entered in feet while the unit selector is set to meters, or \(\Delta T\) may be too high. | Recheck the length unit and initial/final temperatures. |
| Final length is impossible | Inputs produce a contraction larger than the original length. | Check units, signs, and whether the simple linear formula is being used outside a realistic range. |
| Field movement does not match calculated free expansion | The member may be restrained, connected, embedded, curved, supported, or affected by temperature gradients. | Check boundary conditions, supports, actual surface temperature, and restraint conditions. |
Hidden field-practice issue
The temperature of the material is not always the same as the air temperature. Solar heating, process fluid temperature, insulation, shade, thermal mass, and transient heating can make the actual member temperature higher or lower than the ambient reading.
Assumptions, Sources, and Limitations
The calculator is intended for educational use, preliminary estimates, and quick engineering checks. It uses the standard linear thermal expansion relationship and assumes a constant coefficient over the selected temperature range.
Free Movement
The result assumes the member can expand or contract freely without restraint, friction, binding, or connection stiffness.
Constant Coefficient
The coefficient is treated as constant, even though real material properties can change with temperature.
Uniform Temperature
The material is assumed to have a uniform temperature change along its length.
One-Dimensional Movement
The main calculation estimates length change only. It does not calculate bending, warping, area change, volume change, or stress.
Approximate Material Values
Preset coefficients are typical estimates. Use project-specific material data for final design.
Final Design Note
For structures, piping, pressure systems, rails, bridges, machinery, or safety-critical assemblies, verify expansion, stress, supports, codes, and manufacturer limits with professional engineering judgment.
Calculation basis
This page uses the standard linear thermal expansion formula \( \Delta L=\alpha L_0\Delta T \). For typical coefficient values and additional reference data, a useful engineering reference is Engineering ToolBox’s linear thermal expansion coefficient data at EngineeringToolBox.com.
Glossary of Terms
These definitions explain the most important terms used in the calculator and formula.
Thermal Expansion
The tendency of a material to change size when its temperature changes.
Linear Expansion
Length change in one direction, such as the expansion of a rod, beam, rail, or pipe run.
Coefficient of Thermal Expansion
A material property that describes how much a material expands per unit length per degree of temperature change.
Temperature Change
The difference between final and initial temperature, written as \( \Delta T=T_2-T_1 \).
Free Expansion
Expansion or contraction that occurs when a material is not restrained by supports, connections, friction, or surrounding materials.
Thermal Stress
Stress caused when a material wants to expand or contract but is restrained from moving freely.
Final Length
The length after thermal movement, calculated as \(L_f=L_0+\Delta L\).
Isotropic Material
A material with similar properties in all directions. Many simple expansion approximations assume isotropic behavior.
Frequently Asked Questions
What does a thermal expansion calculator calculate?
It estimates how much a material expands or contracts when temperature changes. For linear expansion, the main result is change in length, although the calculator may also show final length, temperature change, or coefficient depending on the solve mode.
What is the formula for linear thermal expansion?
The formula is \( \Delta L=\alpha L_0\Delta T \), where \( \Delta L \) is change in length, \( \alpha \) is the coefficient of linear thermal expansion, \( L_0 \) is original length, and \( \Delta T \) is temperature change.
Does steel expand when heated?
Yes. Steel expands when heated and contracts when cooled. A typical carbon steel coefficient is about \(12\,\mu m/(m\cdot^\circ C)\), but the exact value depends on steel grade and temperature range.
Does aluminum expand more than steel?
Yes. Aluminum typically has a coefficient around \(23\,\mu m/(m\cdot^\circ C)\), while carbon steel is often around \(12\,\mu m/(m\cdot^\circ C)\). For the same length and temperature change, aluminum expands roughly about twice as much as carbon steel.
How much does PVC pipe expand?
PVC pipe can expand much more than steel pipe. For example, a 100 ft PVC pipe with a \(40^\circ C\) temperature change expands by about \(2.50\,in\) using a typical coefficient of \(52\,\mu m/(m\cdot^\circ C)\).
What is the difference between thermal expansion and thermal stress?
Thermal expansion is the free movement a material would experience when temperature changes. Thermal stress occurs when that movement is restrained. A member can have little visible movement but still develop stress if it is fixed or constrained.
Can I use this calculator for final design?
Use it for quick estimates and educational checks. Final design should also consider restraint, thermal stress, expansion joints, material grade, manufacturer data, applicable codes, and professional engineering judgment.