Beam Deflection Calculator

(lbs)

Structural Analysis

Comprehensive technical specifications for beam deflection calculations.

  • Load Parameters
    • Dead Load: 10-50 psf
    • Live Load: 40-100 psf
    • Point Load: 2000-5000 lbs
    • Impact Factor: 1.15-1.33
    • Load Duration: 1.0-1.6
    • Safety Factor: 2.0-3.0
  • Material Properties
    • Steel E: 29×10⁶ psi
    • Concrete E: 3.6×10⁶ psi
    • Wood E: 1.6×10⁶ psi
    • Poisson's Ratio: 0.2-0.35
    • Yield Strength: 36-50 ksi
    • Shear Modulus: 11.5×10⁶ psi
  • Section Properties
    • Moment of Inertia: I
    • Section Modulus: S
    • Radius of Gyration: r
    • Shape Factor: 1.12-1.50
    • Plastic Modulus: Z
    • Torsion Constant: J

Deflection Limits

Critical specifications for structural performance:

  • Service Limits
    • Floor: L/360-L/480
    • Roof: L/240-L/360
    • Cantilever: L/180-L/240
    • Ceiling: L/360
    • Partition: L/360
    • Glass Support: L/480
  • Loading Conditions
    • Total Load: L/240
    • Live Load: L/360
    • Wind Load: L/360
    • Snow Load: L/240
    • Seismic: 0.025h
    • Creep Factor: 1.5-2.0
  • Special Cases
    • Equipment: L/720
    • Vibration: L/1000
    • Crane Support: L/800
    • Hospital: L/480
    • Laboratory: L/480
    • Computer Floor: L/480

Analysis Methods

Key specifications for deflection calculation:

  • Calculation Models
    • Simple Beam: 5wL⁴/384EI
    • Cantilever: PL³/3EI
    • Fixed Ends: wL⁴/384EI
    • Point Load: PL³/48EI
    • Partial Load: Custom
    • Combined: Superposition
  • Analysis Factors
    • Temperature: ±30°F
    • Moisture: 12-19%
    • Support Settlement: 1"
    • Connection Slip: 1/16"
    • End Fixity: 0-100%
    • Load Eccentricity: e/d
  • Design Criteria
    • Serviceability: IBC
    • Strength: LRFD/ASD
    • Ductility: μ=3-6
    • Fatigue: Category B
    • Fire Rating: 1-3 hr
    • Cost Index: 1.0-1.5