Як розрахувати Bending Stress
Що таке Bending Stress?
Bending stress is normal stress from moment loading, the primary stress in beams. It varies linearly across the section, maximum at outer fibers.
Формула
Calculate: σ = M×c/I where M is moment, c is distance from neutral axis, I is moment of inertia
- M
- I/c) — I/c)
- I
- I value — Variable used in the calculation
Покрокова інструкція
- 1Calculate: σ = M×c/I where M is moment, c is distance from neutral axis, I is moment of inertia
- 2Or: σ = M/S where S is section modulus (S = I/c)
- 3Results show stress distribution
Розв'язані приклади
Введення
M = 50 kN·m, I = 1×10⁹ mm⁴, c = 200 mm
Результат
σ = 10 MPa at extreme fiber
Safe stress level
Поширені помилки
- ✕Using average stress instead of maximum stress
- ✕Forgetting compression and tension can develop simultaneously
Часті запитання
Why does stress vary across the beam?
Outer fibers experience maximum stretch/compression; inner material near neutral axis experiences less.
How is section modulus useful?
S directly gives maximum stress: σ_max = M/S, simpler than calculating I and c separately.
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