The method
Before using the result
- Linear elastic rectangular section; uniaxial bending about the width-parallel centroidal axis. Signed stresses are not strength or buckling checks.
Worked examples
These original training examples illustrate the method for First-Class Architect Exam 一級建築士 (Gakka Written + Design Drafting). Use the matching “Load example” button above to explore a variation; example values are not equipment settings or prescribed criteria.
1. Worked example
Combine signed axial stress with uniaxial bending stress at the extreme fibres. Keep elastic stress calculation separate from allowable stress and stability checks.
- Section width
- 0.1 m
- Section depth
- 0.2 m
- Axial force (positive tension)
- 10 kN
- Bending moment (N·m)
- 1,000
- A = 0.020000000000000004 m²; I = 0.00006666666666666668 m⁴.
- Axial stress = 499999.9999999999 Pa; bending component = 1499999.9999999995 Pa.
- Extreme stresses are axial stress plus and minus the bending component.
- Area: 0.02 m²
- Section modulus: 0.0006666667 m³
- Extreme fibre +: 2,000,000 Pa
- Extreme fibre −: -1,000,000 Pa
2. Comparison example
Compare a different supplied condition using the same method. For Kenchikushi Exam, the important check is that the input meaning, units and method assumptions still match the problem.
- Section width
- 0.1 m
- Section depth
- 0.2 m
- Axial force (positive tension)
- 10 kN
- Bending moment (N·m)
- 1,500
- A = 0.020000000000000004 m²; I = 0.00006666666666666668 m⁴.
- Axial stress = 499999.9999999999 Pa; bending component = 2249999.9999999995 Pa.
- Extreme stresses are axial stress plus and minus the bending component.
- Area: 0.02 m²
- Section modulus: 0.0006666667 m³
- Extreme fibre +: 2,750,000 Pa
- Extreme fibre −: -1,750,000 Pa
Check your understanding
1. Which relationship is used?
A=bh; I=bh³/12; σ = N/A ± Mc/I.
2. Which assumption should you check first?
Linear elastic rectangular section; uniaxial bending about the width-parallel centroidal axis. Signed stresses are not strength or buckling checks.
3. How should you verify a different unit system?
Convert every input to the displayed calculation units first. Equivalent physical inputs must give equivalent results; a unit label alone does not convert a number.
Continue with the matching exam topic
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