// 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

材料

热膨胀系数 α (×10⁻⁶ /°C)

弹性模量 E (GPa)

屈服强度 σ_y (MPa)

管道长度 L (m)

安装温度 T₁ (°C)

操作温度 T₂ (°C)

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

NPS快速选择

Outside Diameter D_o (mm)

壁厚 t (mm)

膨胀圈许用应力 σ_a (MPa)

自由热膨胀

ΔL = α · L · ΔT

Temperature Difference ΔT

—

°C

Free Expansion ΔL

—

Expansion Rate

—

mm/m

Strain ε = α·ΔT

—

mm/m (×10⁻³)

完全约束 — 热推力与应力

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.

热膨胀吸收 — 膨胀圈与偏置尺寸

导向悬臂法 — ASME B31.3方法

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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