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Calculate thermal expansion, required expansion loop dimensions, and thermal stress for piping systems using the guided-cantilever approximation — a simplified screening method; full flexibility analysis per EN 13480 / ASME B31.3 requires pipe stress software.

EN 13480 ASME B31.3 Expansion Loop
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Results

Jami issiqlik kengayishi
Zarur kontur uzunligi (L_loop)
Kontur kengligi (perpendikulyar)
Cheklanmagan Issiqlik Kuchlanganligi
Stress Check

Issiqlik kengayishi

Quvur liniyasining umumiy issiqlik kengayishi:

  • α — coefficient of thermal expansion (µm/m/°C)
  • L — quvur uzunligi (m)
  • ΔT — harorat o'zgarishi (°C)

Kengayish Ilgagi O'lchamini Hisoblash

Kengayishni ruxsat etilgan kuchlanishdan oshmasdan so'rib olish uchun zarur kengayish ilgagi bo'g'ining uzunligi:

  • E — elastic modulus (MPa)
  • D — quvurning tashqi diametri (mm)
  • Δ — so'rib olinishi kerak bo'lgan issiqlik kengayishi (mm)
  • Sa — ruxsat etilgan kuchlanish diapazoni (MPa)

This is the guided-cantilever approximation (bending stress σ = 3·E·D·Δ/L² set equal to Sa), assuming one loop leg absorbs the full expansion. It is conservative for screening; it is not a full code flexibility analysis.

Yo'naltirilgan Konsolli Usul

Quvur har ikki uchidan qattiq mahkamlangan holda cheklanmagan issiqlik kuchlanganligi:

Issiqlik Kengayishi Koeffitsienti Ma'lumotnoма Jadvali

Materialα (µm/m/°C)E (GPa)
Carbon Steel12.0200
SS 30417.3193
SS 31616.0193
Copper16.5117
Inconel 62512.8207
Titanium Gr.28.6105
Misol — 6″ Uglerodli Po'lat, 180°C da

Given: L = 30 m, CS (α = 12.0, E = 200 GPa = 200,000 MPa), ΔT = 180°C, OD = 168.3 mm, Sa = 138 MPa

Δ = 12.0 × 30 × 180 / 1000 = 64.8 mm

Lloop = √(3 × 200,000 × 168.3 × 64.8 / 138) = √(4.74 × 10⁷) ≈ 6,886 mm ≈ 6.9 m

⚠️ Note: Bu soddalashtirilgan yo'naltirilgan konsol hisobi hisoblanadi. Haqiqiy quvur tizimlarining egiluvchanligini tahlil qilish shox ulanishlarini, ko'p yo'nalishli o'zgarishlarni, tayanch joylashuvlarini hisobga olishni talab qiladi va muhim tizimlar uchun quvur kuchlanishini tahlil qiluvchi dasturiy ta'minot yordamida amalga oshirilishi kerak.

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Guided-cantilever screening method; for code-compliant flexibility analysis see EN 13480-3 / ASME B31.3. Last updated: July 2026

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