Balka egilishi ko'ndalang yuk konstruktiv elementga ta'sir etganda yuzaga keladi va u og'ib ketadi. Balkada yukka qarshilik ko'rsatish uchun ichki egilish momentlari va kesuvchi kuchlar hosil bo'ladi. Egilish kuchlanishi neytral o'qda noldan eng tashqi tolalarda maksimumgacha chiziqli ravishda o'zgaradi.

Oddiy tayanchli balka va konsol balkaning farqi nima?

Oddiy tayanchli balka ikkala uchida ikki tayanchga tayanadi va aylanish erkinligiga ega. Konsol balka bir uchida qattiq mahkamlanadi, ikkinchi uchi esa erkin holda qoladi. Konsol balkalar bir xil oraliq va yukdagi oddiy tayanchli balkalarga nisbatan mahkam tayanch nuqtasida odatda katta og'ish va momentlarni boshdan kechiradi.

Balka og'ishini qanday hisoblash mumkin?

Beam deflection depends on the load type, span, elastic modulus (E), and moment of inertia (I). For a simply supported beam with central point load P: δ_max = PL³/(48EI). For UDL w: δ_max = 5wL⁴/(384EI). For cantilever with tip load P: δ_max = PL³/(3EI).

Balka hisob-kitoblarida inersiya momenti nima?

The moment of inertia (I) is a geometric property of the beam cross-section that measures its resistance to bending. A larger I means less deflection and lower stress for the same load. For a rectangle: I = bh³/12. For a circle: I = πd⁴/64.

Balka uchun maksimal ruxsat etilgan og'ish qancha?

Odatdagi og'ish chegaralari: tirik yuk ostidagi pol balkalari uchun L/360, umumiy yuk uchun L/240 va tomlar uchun L/180. Sanoat ilovalarida L/500 yoki undan qattiqroq chegaralar qo'llanilishi mumkin. O'zingizning aniq ilovangiz uchun doimo tegishli qurilish normasi yoki loyihalash standartini tekshiring.

Muhandislik uchun bepul vosita

To'sinning egilishi kalkulyatori

Turli xil yuk turlari ostida oddiy tayanchli va konsol balkalar uchun maksimal egilish momentini, og'ishni va kuchlanishni hisoblang.

Point Load UDL Cantilever #164

Load Case

Beam Length L (m)

Point Load P (kN)

Elastiklik moduli E (GPa)

Inersiya momenti I (cm⁴)

Tashqi Tolaga c Masofasi (mm)

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Results

Maksimal egilish momenti

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Maksimal egilish

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Maksimal egilish kuchlanishi

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Oraliq/Egilish nisbati

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Load Case

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Oddiy Tayanchli — Markazda Nuqtaviy Yuk

Ikki tomondan tayangan — Taqsimlangan yuklanma (UDL)

Konsol — Uchida nuqtaviy yuk

Bending Stress

Where σ egilish kuchlanishi, M egilish momenti, c ekstremal tolaga qadar masofa, va I inersiya momenti.

Load Case	M_max	δ_max
IKT — Markaz nuqtasi	PL/4	PL³/(48EI)
IKT — a nuqtasidagi yuk	Pa(L−a)/L	murakkab formula
SS — UDL w	wL²/8	5wL⁴/(384EI)
Konsol — Uch nuqtasi	PL	PL³/(3EI)
Konsol — Taqsimlangan yuklanma w	wL²/2	wL⁴/(8EI)

⚠️ Note: Ushbu formulalar chiziqli-elastik xatti-harakat, kichik egilishlar va prizmatik (doimiy ko'ndalang kesimli) nurlar uchun mo'ljallangan. Murakkab yuklanmalar uchun superpozitsiya usulidan foydalaning.

Balka Egilish Kalkulyatori | Og'ish, Moment & Kuchlanish | Bepul Onlayn Vosita

Published by admin on Fevral 15, 2026 Fevral 15, 2026

Results

Oddiy Tayanchli — Markazda Nuqtaviy Yuk

Ikki tomondan tayangan — Taqsimlangan yuklanma (UDL)

Konsol — Uchida nuqtaviy yuk

Bending Stress

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