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Engineering Calculator · 075

Differential Thermal Expansion Calculator

Compare free linear expansion of two materials over one reference length and temperature change.

Thermal & material change

Live calculation

Enter the known values.

Units remain visible beside every field and result. Change any input to recalculate immediately in your browser.

01

Inputs

02

Results

Material 1 change0.07mm
Material 2 change0.32mm
Differential change-0.25mm

Formula
ΔLdiff=L0(α1−α2)ΔT\Delta L_{\mathrm{diff}}=L_0(\alpha_1-\alpha_2)\Delta T

The calculation runs locally in this browser. Values are not submitted or stored by this tool.

Direct answer

What this result means

Compare free linear expansion of two materials over one reference length and temperature change. The relationship ΔLdiff = L0(α1 − α2)ΔT ties reference length, material 1 coefficient, material 2 coefficient and temperature change directly to the reported result. Both materials share one initial length and expand freely. Treat the value as a transparent preliminary calculation, then compare it with the actual cable-entry assembly and current product documentation.

Differential Thermal Expansion Calculator engineering relationship diagramΔLdiff = L0(α1 − α2)ΔT defines the calculation shown here. Both materials share one initial length and expand freely. Keep the entered units with the result so another reviewer can reproduce the method. This dedicated schematic represents differential thermal expansion and is not to scale.MATERIAL MISMATCH · TOOL 075Reference lengthMaterial 1 change
Calculator-specific engineering relationship diagram — schematic, not a product drawing, and not to scale.

Formula & theory

Make the assumptions visible.

ΔLdiff = L0(α1 − α2)ΔT defines the calculation shown here. Both materials share one initial length and expand freely. Keep the entered units with the result so another reviewer can reproduce the method.

Calculation relationship
ΔLdiff=L0(α1−α2)ΔT\Delta L_{\mathrm{diff}}=L_0(\alpha_1-\alpha_2)\Delta T

ΔLdiff = L0(α1 − α2)ΔT defines the calculation shown here. Both materials share one initial length and expand freely. Keep the entered units with the result so another reviewer can reproduce the method.

Variables

L0Reference lengthmm
α2Material 2 coefficientµm/m·K
ΔTTemperature changeK
ΔL1Material 1 changemm
ΔL2Material 2 changemm
ΔLdiffDifferential changemm

Use sequence

From measurement to review

  1. Confirm reference length and material 1 coefficient from a controlled drawing, measurement or project document.
  2. Apply ΔLdiff = L0(α1 − α2)ΔT with consistent units and keep the entered values beside the result.
  3. Use material 1 change only after checking material data, reference temperatures, constraints, joint geometry and cyclic temperature range.

Limits

What this calculation does not confirm

  • Both materials share one initial length and expand freely.
  • Inputs describe one defined operating or measurement condition and use mutually consistent units.
  • The result does not by itself confirm product suitability, standards compliance, ingress performance or installation approval.

Calculator FAQ

Use the number without losing the engineering context.

These answers clarify what the tool calculates and where a product-specific review still begins.

01Calculator guidanceHow does the differential thermal expansion calculator calculate material 1 change?

The tool applies ΔLdiff = L0(α1 − α2)ΔT to reference length, material 1 coefficient, material 2 coefficient, temperature change. Both materials share one initial length and expand freely. Keep the displayed units with the result so the calculation can be repeated.

02Calculator guidanceWhat does material 1 change show for this material mismatch review?

Compare free linear expansion of two materials over one reference length and temperature change. It is a preliminary engineering value, not confirmation of a cable-gland model, standards compliance or installation approval.

03Calculator guidanceWhat should be checked about material data before using the differential thermal expansion calculator result?

The equation does not model material data, reference temperatures, constraints, joint geometry and cyclic temperature range. Confirm those conditions against the actual cable-entry assembly, applicable requirement and current product documentation.

Product selection support

Connect the calculation with cable-entry product options.

Bepto Cable Glands can help relate a preliminary result to the product family and current model information for your application. You can start with the details you have; a complete drawing package is not needed to ask a question.

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