Every Toolkit

Beam Deflection Calculator

Calculate deflection, bending moment, and shear force for structural beams

130.21
Deflection (mm)
Excessive
12.50
Moment (kN·m)
5.00
Shear (kN)
4.4762
Slope (rad)

Beam Configuration

Define your beam parameters

Save Calculation

Calculation Results

Maximum Deflection
130.208 mm
at center
Maximum Slope
4.476233 rad
256.4692°
Max Bending Moment
12.500 kN·m
at center
Max Shear Force
5.000 kN
at supports

Deflection Formula

δ = PL³/(48EI)

Where: P = Load, L = Length, E = Elastic Modulus, I = Moment of Inertia

Deflection Check

Deflection limit (L/360): 13.89 mm
Actual deflection: 130.21 mm
Status: Excessive

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Understanding Beam Deflection

What is Beam Deflection?

Beam deflection is the vertical displacement of a point on the beam from its original position under load. It's critical in structural design to ensure serviceability.

Beam Types

  • Simply Supported: Supported at both ends, free to rotate
  • Cantilever: Fixed at one end, free at the other
  • Fixed-Fixed: Both ends fixed, no rotation allowed

Loading Conditions

  • Point Load: Concentrated force at a specific location
  • UDL: Uniformly Distributed Load across the beam length

Deflection Limits

Common deflection limits: L/360 for floors, L/240 for roofs, L/180 for cantilevers. These limits ensure structural serviceability and prevent damage to finishes.

Features

  • Multiple beam types and loading conditions
  • Accurate deflection calculations using standard formulas
  • Bending moment and shear force calculations
  • Material presets (Steel, Aluminum, Concrete, Wood)
  • Deflection limit checking (L/360)
  • Save and load calculations
  • Local storage for privacy

Engineering Disclaimer

This calculator is for preliminary design and educational purposes only. Always consult a licensed structural engineer for final design and verification. Results should be verified against applicable building codes.