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Beam Deflection Calculator (Uniform & Center Load)

Civil and structural engineering tool. Evaluates bending stiffness of steel or timber sections based on Elastic Modulus ($E$) and Moment of Inertia ($I$).

Input Parameters

Instant Calculation Result

Estimated Output
Active in Real-Time

Adjust values on the left to calculate live results.

Formula: Center Maximum Deflection δ_max = (P * L³) / (48 * E * I). 1 GPa = 10⁹ Pa.

In-Depth Guide & Mathematical Methodology

🏗️ Beam Deflection Formula & Code Limits

Formula: δ_max = (P × L³) / (48 × E × I)

L/360 Limit: Maximum allowable deflection for floor joists supporting plaster ceilings.

L/240 Limit: Maximum allowable deflection for roof rafters.

Frequently Asked Questions (FAQ)

What is the Beam Deflection Calculator (Uniform & Center Load) and how does it work?

Civil and structural engineering tool. Evaluates bending stiffness of steel or timber sections based on Elastic Modulus ($E$) and Moment of Inertia ($I$).

How do I use this Beam Deflection Calculator (Uniform & Center Load)?

Enter Central Point Load ($P$ in Newtons - N). Enter Beam Span Length ($L$ in meters). Select Material Elastic Modulus ($E$, e.g. Steel = 200 GPa). Enter Cross-Section Moment of Inertia ($I$ in cm⁴). View Calculated Maximum Deflection ($δ_{\max}$ in mm).

What mathematical formula is used in this calculation?

Center Maximum Deflection δ_max = (P * L³) / (48 * E * I). 1 GPa = 10⁹ Pa.

Is the Beam Deflection Calculator (Uniform & Center Load) on FindCalculator free to use?

Yes, all 330+ interactive tools on FindCalculator.online are 100% free, run directly in your browser without registration, and do not store your private calculation data.

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