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Max Deflection
0.000 in
Max Deflection vs Beam Span
Formel
## Simply Supported Beam Deflection **Delta_max = 5wL^4 / (384EI)** Where w is the load per inch, L is the span in inches, E is the modulus of elasticity, and I is the moment of inertia. Common deflection limits are L/360 for floors and L/240 for roofs.
Lösungsbeispiel
12 ft beam, 200 lb/ft load, E = 1,700,000 psi, I = 98 in^4.
- 01w = 200/12 = 16.67 lb/in
- 02L = 144 in
- 03Delta = 5 x 16.67 x 144^4 / (384 x 1,700,000 x 98)
- 04Delta = 0.283 in
- 05L/360 = 0.40 in; deflection is within limits.
Häufig Gestellte Fragen
What is L/360?
L/360 means the allowable deflection is the span divided by 360. For a 12 ft (144 in) span, the limit is 144/360 = 0.40 inches. This is the typical limit for floor beams under live load.
Where do I find E and I values?
E depends on the material (wood: 1.2-1.8M psi, steel: 29M psi). I depends on the cross-section; look it up in beam tables or calculate from the section dimensions.
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