Prujina qattiqligi qanday hisoblanadi?

The spring rate k for a helical compression spring is k = Gd⁴/(8D³n), where G is the shear modulus, d is wire diameter, D is mean coil diameter, and n is the number of active coils. This formula assumes round wire and negligible pitch angle.

Wahl tuzatish omili nima?

The Wahl factor Kw accounts for curvature and direct shear effects in helical springs. Kw = (4C-1)/(4C-4) + 0.615/C, where C = D/d is the spring index. It increases the calculated shear stress, especially for small spring indices (tight coils).

Qaysi prujina indeksi C ni maqsad qilish kerak?

D/d = C bo'lgan prujina indeksi 4 dan 12 gacha bo'lishi odatiy hisoblanadi. C 12 dan oshishi o'ramlari chalkashishi va bukilishiga olib kelishi mumkin. Ko'pchilik ilovalar uchun C = 6–10 optimal hisoblanadi.

Qattiq balandlik nima va nima uchun muhim?

Qattiq balandlik — bu prujina to'liq siqilganda, ya'ni barcha o'ramlar bir-biriga tegib turganidagi uzunligi. U (jami o'ramlar soni) × (sim diametri) ga teng. Prujina xizmat davomida hech qachon qattiq balandlikka siqilmasligi kerak, aks holda doimiy deformatsiya (plastik deformatsiya) yuzaga keladi.

Qaysi kesuvchi modul G dan foydalanish kerak?

Common values: Music wire (ASTM A228) G ≈ 79.3 GPa, Stainless 302 G ≈ 69 GPa, Chrome-vanadium G ≈ 77.2 GPa, Phosphor bronze G ≈ 41.4 GPa. G varies slightly with temperature and wire diameter.

Bepul muhandislik vositasi #064

Spiral Siqish Yoyli Konstruksiya Kalkulyatori

Design helical compression springs. Enter wire diameter, coil diameter, free length, active coils, and shear modulus to calculate spring rate, max load, shear stress, and solid height.

Spring Rate k Wahl Factor Auto-Calc

Sim diametri d (mm)

O'ramlarning o'rtacha diametri D (mm)

Free Length L₀ (mm)

Active Coils n

Material (Kesuvchi modul G)

End Type

Quick presets

Results

Spring Rate k

—

Qattiq holatdagi maksimal yuklanish (F_solid)

—

Maksimal kesish kuchlanishi τ (Kw bilan)

—

Solid Height

—

Spring Index C

—

Wahl Factor K_w

—

Spring Profile

Spring Rate

Wahl tuzatishi bilan kesish kuchlanishi

Wahl Factor

bu yerda C = D/d — yay indeksi.

Solid Height

Material	G (GPa)	Typical Use
Musiqa simi (A228)	79.3	Umumiy maqsad, yuqori charchoqqa chidamlilik
Chrome-Vanadium	77.2	Yuqori kuchlanish, zarbali yuklanishlar
Stainless 302	69.0	Korroziyaga chidamlilik
Fosfor bronzasi	41.4	Elektr, magnit bo'lmagan
Berilliy mis	44.8	Uchqun chiqarmaydigan, o'tkazuvchan

Misol — Musiqa simi prujinasi

Given: d = 4 mm, D = 30 mm, L₀ = 80 mm, n = 10, G = 79300 MPa

C = 30/4 = 7.5

k = 79300 × 4⁴ / (8 × 30³ × 10) = 79300 × 256 / 2,160,000 = 9.39 N/mm

Solid height = (10+2) × 4 = 48 mm → Travel = 80 − 48 = 32 mm

F_solid = 9.39 × 32 = 300.5 N

⚠️ Note: Prujinani ishlatish jarayonida hech qachon to'liq siqilgan holatga keltirmang. Ish harakati mavjud defleksiyaning ≤80% bo'lishini ta'minlang. Agar erkin uzunlik/o'rtacha diametr > 4 bo'lsa, bukilishni tekshiring.

Spiralli siquvchi prujina dizayni kalkulyatori | Bepul onlayn vosita #064

Published by Nikolai Shelkovenko on Fevral 15, 2026 Fevral 15, 2026

Results

Spring Rate

Wahl tuzatishi bilan kesish kuchlanishi

Wahl Factor

Solid Height

Do'kon

Support

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