The method
Before using the result
- Simply supported prismatic Euler–Bernoulli beam; linear elasticity and small deflection. No shear deformation, self-weight unless included in load, or strength/code check.
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
Explore how span, elastic modulus and section inertia influence linear-elastic deflection. Use the displayed standard support/load case before comparing structural behaviour.
- Simply supported span
- 4 m
- Load case
- Central point load
- Central point load
- 10 kN
- Elastic modulus
- 200,000 MPa
- Second moment of area
- 8,000,000 mm⁴
- Load case: Central point load; L = 4 m; EI = 1600000 N·m².
- Support reactions = 5000 N each.
- Maximum deflection = 0.008333333333333333 m at midspan.
- Left reaction: 5,000 N
- Right reaction: 5,000 N
- Maximum moment: 10,000 N·m
- Maximum downward deflection: 0.008333333 m
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.
- Simply supported span
- 5 m
- Load case
- Central point load
- Central point load
- 10 kN
- Elastic modulus
- 200,000 MPa
- Second moment of area
- 8,000,000 mm⁴
- Load case: Central point load; L = 5 m; EI = 1600000 N·m².
- Support reactions = 5000 N each.
- Maximum deflection = 0.016276041666666668 m at midspan.
- Left reaction: 5,000 N
- Right reaction: 5,000 N
- Maximum moment: 12,500 N·m
- Maximum downward deflection: 0.01627604 m
Check your understanding
1. Which relationship is used?
Central P: R=P/2, Mmax=PL/4, δmax=PL³/(48EI). Uniform w: R=wL/2, Mmax=wL²/8, δmax=5wL⁴/(384EI).
2. Which assumption should you check first?
Simply supported prismatic Euler–Bernoulli beam; linear elasticity and small deflection. No shear deformation, self-weight unless included in load, or strength/code check.
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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