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Bending stress is normal stress from moment loading, the primary stress in beams. It varies linearly across the section, maximum at outer fibers.
Formel
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
Trin-for-trin guide
- 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
Løste eksempler
Input
M = 50 kN·m, I = 1×10⁹ mm⁴, c = 200 mm
Resultat
σ = 10 MPa at extreme fiber
Safe stress level
Almindelige fejl at undgå
- ✕Using average stress instead of maximum stress
- ✕Forgetting compression and tension can develop simultaneously
Ofte stillede spørgsmål
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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