Beam Calculator
Calculate beam deflection, bending moment, and shear force for structural engineering analysis.
About This Calculator
Calculate structural beam properties including maximum bending moment, shear force, and deflection. Essential for structural engineering design and analysis of beams under various loading conditions.
🧮 Beam Formulas
Simply Supported - Point Load at Center:
M_max = PL/4 | V_max = P/2 | δ_max = PL³/(48EI)
Simply Supported - Uniform Load:
M_max = wL²/8 | V_max = wL/2 | δ_max = 5wL⁴/(384EI)
Cantilever - Point Load at End:
M_max = PL | V_max = P | δ_max = PL³/(3EI)
📊 Common Beam Sections
| Section | I_x (×10⁶ mm⁴) |
|---|---|
| W200×46 | 45.5 |
| W310×97 | 222 |
| W410×85 | 316 |
💡 Design Tips
- Deflection limits: L/360 for floors, L/240 for roofs
- Safety factors: Apply appropriate load factors per code
- Support conditions: Actual conditions affect results significantly
- Combined loads: Superimpose results for multiple loads
🔗 Related Calculators
? Frequently Asked Questions
How accurate is this
This calculator uses standard formulas and provides accurate results for typical use cases. For professional or critical applications, always verify results with certified professionals or official sources.
Is this calculator free to use?
Yes, this Beam Calculator • Civil Engineering • Calculator is completely free to use with no registration required. You can use it as many times as needed without any limitations.
Can I use this on mobile devices?
Absolutely! This calculator is fully responsive and works perfectly on smartphones, tablets, and desktop computers.
How do I interpret the results?
The results are displayed clearly with appropriate units. Refer to the About This Calculator section for detailed information.