Beam Deflection Calculator
Calculate Beam Deflection
About Beam Deflection
Beam deflection calculations are essential for structural engineering to ensure beams can safely support loads without excessive bending.
Deflection Formula:
δ = (Load × Length³) / (K × E × I)
Where:
- δ = Deflection
- E = Modulus of Elasticity
- I = Moment of Inertia
- K = Support condition factor
Support Conditions:
- Simply Supported: K = 48
- Cantilever: K = 3
- Fixed-Fixed: K = 192
- Fixed-Pinned: K = 48
Common Materials:
• Steel: E = 29,000,000 psi
• Concrete: E = 3,000,000 psi
• Wood: E = 1,800,000 psi
• Aluminum: E = 10,000,000 psi
Allowable Deflections:
• L/240 for live loads
• L/180 for total loads
• L/300 for brittle finishes
• L/360 for plaster ceilings
Proper deflection calculations ensure structural safety and serviceability requirements are met in building design.