1. Beam and Loading
- A simply supported beam with a span of 6 m is subjected to a uniformly distributed load of 10 kN/m.
- The maximum bending moment for this setup works out to 45 kN·m.
2. Cross-Section Properties
- The beam has a rectangular section:
- Width = 12 cm
- Depth = 40 cm
- The calculated second moment of area is 64,000 cm⁴.
3. Flexure Concept
- Using the flexure principle, the bending stress depends on:
- The maximum bending moment (converted into consistent units).
- The distance from the neutral axis to the outer fiber (20 cm here).
- The second moment of area (64,000 cm⁴).
4. Maximum Bending Stress
- After applying values, the maximum bending stress comes out to 14.06 MPa.
- This stress level is within the safe range for many structural materials, but actual design checks must compare it against the material’s allowable stress.
@etconp
- A simply supported beam with a span of 6 m is subjected to a uniformly distributed load of 10 kN/m.
- The maximum bending moment for this setup works out to 45 kN·m.
2. Cross-Section Properties
- The beam has a rectangular section:
- Width = 12 cm
- Depth = 40 cm
- The calculated second moment of area is 64,000 cm⁴.
3. Flexure Concept
- Using the flexure principle, the bending stress depends on:
- The maximum bending moment (converted into consistent units).
- The distance from the neutral axis to the outer fiber (20 cm here).
- The second moment of area (64,000 cm⁴).
4. Maximum Bending Stress
- After applying values, the maximum bending stress comes out to 14.06 MPa.
- This stress level is within the safe range for many structural materials, but actual design checks must compare it against the material’s allowable stress.
@etconp
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