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Jak vypočítat Bending Stress

Co je 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.

Vzorec

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

Průvodce krok za krokem

  1. 1Calculate: σ = M×c/I where M is moment, c is distance from neutral axis, I is moment of inertia
  2. 2Or: σ = M/S where S is section modulus (S = I/c)
  3. 3Results show stress distribution

Worked Examples

Vstup
M = 50 kN·m, I = 1×10⁹ mm⁴, c = 200 mm
Výsledek
σ = 10 MPa at extreme fiber
Safe stress level

Common Mistakes to Avoid

  • Using average stress instead of maximum stress
  • Forgetting compression and tension can develop simultaneously

Frequently Asked Questions

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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