如何计算Beam Deflection
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Beam deflection calculates downward displacement under loading. Engineers use this to ensure beams don't sag excessively and meet serviceability requirements.
公式
The calculator applies beam deflection formulas: δ = PL³/(3EI) for cantilever
分步指南
- 1Input beam type (cantilever, simply supported, etc.), load type, material properties, and geometry
- 2The calculator applies beam deflection formulas: δ = PL³/(3EI) for cantilever
- 3Results show maximum deflection and compliance with limits
例题解析
输入
Cantilever, P=10 kN, L=3 m, EI=200 kN·m²
结果
δ ≈ 45 mm
At L/4 deflection check
常见错误注意事项
- ✕Using beam formula for wrong support conditions
- ✕Neglecting distributed loads when present
常见问题
Why limit beam deflection?
Excessive deflection causes floor sag, cracks, misalignment. Building codes limit deflection to L/240-L/360.
How does moment of inertia affect deflection?
Doubling I reduces deflection by half; this is why tall I-beams resist deflection better than wide ones.
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