// Free Engineering Tool

Pipework Thermal Expansion Calculator

Calculate free thermal expansion, fully-constrained thermal force and stress, and expansion loop or offset sizing for pipework systems using the guided cantilever method per ASME B31.3.

Thermal Expansion of Pipework

Calculate free thermal expansion, constrained thermal force and stress, and the minimum expansion loop or offset leg length required to absorb the movement. Enter pipe geometry to unlock force, stress and loop sizing outputs.

Material & Temperature

材質

熱膨張係数 α (×10⁻⁶ /°C)

ヤング率 E (GPa)

降伏強さ σ_y (MPa)

配管長さ L (m)

設置温度 T₁ (°C)

運転温度 T₂ (°C)

Pipe Geometry — optional, enables force, stress & loop sizing

NPSクイック選択

Outside Diameter D_o (mm)

肉厚 t (mm)

ループ許容応力 σ_a (MPa)

自由熱膨張

ΔL = α · L · ΔT

Temperature Difference ΔT

—

°C

Free Expansion ΔL

—

Expansion Rate

—

mm/m

Strain ε = α·ΔT

—

mm/m (×10⁻³)

完全拘束 — 熱応力・推力

F = α · E · A · ΔT · σ = α · E · ΔT

Pipe Wall Area A

—

mm²

Constrained Thermal Stress σ

—

MPa

Constrained Thrust Force F

—

Stress Utilisation

—

% of σ_y

Enter pipe Do and t to calculate constrained force and stress.

熱膨張吸収 — ループ・オフセットサイジング

ガイド付き片持ち梁法 — ASME B31.3方式

U-Loop Leg Length L_loop

—

mm each leg

L-Offset / Elbow Leg

—

Loop Allowable Stress Used

—

MPa

Bellows / Joint Stroke ΔL

—

mm (axial)

Enter pipe Do, t and allowable stress to size expansion loops.

    Loop sizing uses guided cantilever formula L = √(3·E·Dₒ·ΔL / (2·σₐ)). Allowable stress default 2/3 σ_y. Verify to ASME B31.3 Appendix C or EN 13480-3 Clause 12. Expansion joints / bellows must be selected by the manufacturer for axial stroke, pressure rating and cycle life.
    
  

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