Beam Deflection Calculator - Free Online Structural Analysis Tool
Beam Deflection Calculator
Calculate deflection and stress for beams under various loading conditions.
Beam Configuration
Material & Dimensions
Loading
Deflection Limits
| Floor beams | L/360 |
| Roof beams | L/240 |
| Cantilevers | L/180 |
How to use this calculator
📏 How to Use This Calculator
- Select beam type (simply supported or cantilever)
- Choose loading type (point load or distributed)
- Select material or note the elastic modulus
- Enter beam length and cross-section dimensions
- Input the load value and calculate
📐 Key Formulas
Simply Supported - Point Load
δ_max = PL³/(48EI)
M_max = PL/4
Simply Supported - Uniform Load
δ_max = 5wL⁴/(384EI)
M_max = wL²/8
Cantilever - Point Load
δ_max = PL³/(3EI)
M_max = PL
🌟 Examples
Steel 200×300mm, L=6m, uniform 10 kN/m
Check: δ < L/360
Concrete 250×400mm, L=2m, uniform 5 kN/m
Check: δ < L/180
💡 Design Tips
- • Deflection often controls design more than strength
- • Use L/360 for floors, L/240 for roofs
- • Consider long-term creep for concrete/wood
- • Account for self-weight in total load
- • Check vibration for long spans
⚠️ Limitations
- • Assumes linear elastic behavior
- • Rectangular sections only
- • No shear deformation considered
- • Always verify with building codes
- • Professional review recommended
About this calculator
Calculate beam deflection, slope, and bending stress for various support conditions and loading types.
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