Beam Deflection Calculator

Structural, Civil and Plumbing Engineering tool for calculating maximum bending moment and deflection for simply supported beams under uniform loads. Essential for structural design and verification.

Calculate Beam Deflection

📊 Calculation Results

Maximum Bending Moment:

36.000 kN·m

Maximum Deflection:

8.438 mm

Beam Span-to-Deflection Ratio:

711.1

Deflection Limit (L/360):

16.67 mm

Deflection Status:

✅ Within Limits

Safety Margin:

49.4%

📋 Calculation Details

Formulas Used:

Maximum Bending Moment: M = wL²/8
Maximum Deflection: δ = 5wL⁴/(384EI)
Deflection Limit: δ_limit = L/360
Safety Margin: = ((δ_limit - δ_actual) / δ_limit) × 100%

📚 Reference Codes:

ACI 318-19: Table 24.2.2 - Deflection limits for non-prestressed beams
AISC 360-16: Chapter L - Serviceability design
Eurocode 2: EN 1992-1-1:2004, Section 7.4
ASCE 7-16: Table C3.1.1 - Deflection limits

Note: L/360 is the most commonly used limit for live load deflection in building codes worldwide.

How it Works

This calculator uses standard structural engineering formulas for simply supported beams:

Maximum Bending Moment: M = wL²/8
Maximum Deflection: δ = 5wL⁴/(384EI)

Where w is the uniform load, L is the beam length, E is the modulus of elasticity, and I is the moment of inertia.