Elongation Calculation Tool

Calculate mechanical, thermal, composite, tapered, and strain-based elongation with flexible units, material presets, safety checks, clear formulas, detailed steps, and exportable results for engineers.

Calculation setup

Member and loading inputs

Cross-section

Thermal inputs

Tapered circular dimensions

Tapered rectangular dimensions

Stepped or composite segments

Segment 1

Segment 2

CSV column order: length, area, modulus, force, alpha, temperature change.

Self-weight option

m/s²

Safety, output, and precision

%

Formula used

Uniform axial: ΔL = FL/(AE)
Strain: ΔL = εL
Thermal: ΔL = αLΔT
Self-weight: ΔL = ρgL²/(2E)
Circular taper: ΔL = 4FL/(πEd₁d₂)
Rectangular taper: ΔL = FL ln(b₂/b₁)/[Et(b₂−b₁)]

Linear elastic formulas assume axial loading, small strain, constant properties, and negligible stress concentrations.

How to use this calculator

  1. Select the calculation mode matching your engineering problem.
  2. Choose a material preset or enter custom material properties.
  3. Enter member dimensions, force, temperature, or target values.
  4. Select compatible input and output units for each quantity.
  5. Review safety settings, then calculate and inspect all warnings.
  6. Copy, print, or export the complete calculation record.

Example data

ExampleInputsUse
Steel rod50 kN, 2,000 mm, 20 mm diameter, 200 GPaUniform axial elongation
Heated aluminum bar1.5 m, α = 23.1 × 10⁻⁶/K, ΔT = 60°CThermal elongation
Composite memberSteel and aluminum segments carrying 25 kNSegmented calculation
Tapered bar30 mm to 20 mm diameter, 1,200 mm longTapered circular model

Calculation history

No saved calculations yet.

Frequently asked questions

What is elongation?

Elongation is the change in member length caused by load, temperature, self-weight, or imposed strain.

When is FL divided by AE valid?

Use it for prismatic members under concentric axial load within the linear elastic range.

How is compression handled?

Compression uses a negative sign, so the reported deformation represents member shortening.

Can materials differ between segments?

Yes. Enter separate length, area, modulus, force, thermal coefficient, and temperature values.

What does percentage elongation mean?

It equals engineering strain multiplied by one hundred and expresses relative length change.

Why does the tool show a yield warning?

Stress above yield strength can cause permanent deformation, invalidating simple elastic formulas.

Does self-weight depend on area?

For a uniform hanging member, area cancels when density and modulus remain constant.

Can temperature change be negative?

Yes. A negative temperature change usually produces thermal contraction for positive coefficients.

How are hollow sections checked?

The tool requires a positive outer diameter and a smaller nonnegative inner diameter.

Are material preset values exact?

No. They are typical values and should be replaced with certified project data.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.