Jinsi ya kukokotoa Bending Stress
Bending Stress ni nini?
Bending stress is normal stress from moment loading, the primary stress in beams. It varies linearly across the section, maximum at outer fibers.
Fomula
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
Mwongozo wa Hatua kwa Hatua
- 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
Mifano Iliyotatuliwa
Ingizo
M = 50 kN·m, I = 1×10⁹ mm⁴, c = 200 mm
Matokeo
σ = 10 MPa at extreme fiber
Safe stress level
Makosa ya Kawaida ya Kuepuka
- ✕Using average stress instead of maximum stress
- ✕Forgetting compression and tension can develop simultaneously
Maswali yanayoulizwa mara kwa mara
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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