Structural Tool

Beam Calculator - Structural Beam Calculator & Beam Design Calculator

Free beam calculator & structural beam calculator. Calculate beam strength, deflection, moment capacity, and safety factors. Our calculator uses structural engineering principles to determine optimal beam design for construction and engineering projects.

Last updated: October 19, 2025

Moment and shear capacity analysis
Multiple material support
Safety factor calculations

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Beam Calculator
Calculate beam strength, deflection, and safety factors for structural design
Beam Analysis Results

Moment Capacity

7,200,000 lb-ft

Shear Capacity

1,296,000 lbs

Deflection

0 in

Safety Factor

216

Beam Status:Adequate
Material Cost:$90
Installation Cost:$27

Design Recommendation

Beam design is safe with good safety margin.

Beam Calculator Types & Analysis

Steel Beam Calculator
Calculate steel beam capacity, deflection, and design requirements

Material strength

50,000 psi Yield

High-strength steel beams for long spans and heavy loads

Concrete Beam Calculator
Calculate reinforced concrete beam design and capacity

Compressive strength

4,000 psi Concrete

Fire-resistant concrete beams with steel reinforcement

Wood Beam Calculator
Calculate timber beam strength and deflection limits

Flexural strength

2,400 psi Douglas Fir

Natural wood beams for residential and light commercial construction

Moment Capacity Calculator
Calculate maximum moment a beam can resist before failure

Moment formula

Mn = Fy × S

Critical calculation for beam design and safety verification

Beam Deflection Calculator
Calculate beam deflection under various loading conditions

Deflection limit

L/360 for Live Loads

Ensures serviceability and prevents excessive deflection

Safety Factor Calculator
Calculate safety factors for beam design verification

Minimum factor

1.67 for Steel

Ensures adequate safety margin against failure

Quick Example Result

For a 12' steel beam (6" × 12") with 1000 lbs/ft uniform load:

Moment Capacity

1,800,000 lb-ft

Safety Factor

2.5

How Our Beam Calculator Works

Our beam calculator uses fundamental structural engineering principles and material properties to determine beam capacity, deflection, and safety factors. The calculation applies building code standards to ensure safe and efficient beam design for construction projects.

Structural Analysis Principles

Moment Capacity = Fy × S (Section Modulus)
Shear Capacity = Fv × Area × 0.6
Deflection = (5×w×L⁴)/(384×E×I)
Safety Factor = Capacity / Applied Load

These fundamental equations form the basis of structural beam design. The section modulus (S) and moment of inertia (I) depend on the beam's cross-sectional geometry and material properties.

🏗️ Beam Analysis Diagram

Shows moment, shear, and deflection diagrams for different support conditions

Engineering Foundation

Beam design is based on structural engineering principles from AISC (American Institute of Steel Construction), ACI (American Concrete Institute), and NDS (National Design Specification for Wood Construction). These standards ensure beams can safely resist applied loads without exceeding material strength limits or deflection criteria.

  • Moment capacity depends on material yield strength and section modulus
  • Shear capacity is limited by material shear strength and cross-sectional area
  • Deflection limits ensure serviceability and prevent excessive movement
  • Safety factors provide margin against uncertainty and material variations
  • Support conditions significantly affect moment and deflection behavior
  • Load types (uniform, point, distributed) create different stress patterns

Sources & References

  • AISC Steel Construction Manual - 15th EditionStandard reference for steel beam design and analysis
  • ACI 318 Building Code - Concrete Design RequirementsReinforced concrete beam design standards
  • NDS for Wood Construction - American Wood CouncilWood beam design and engineering standards

Need help with other structural calculations? Check out our truss calculator and rafter calculator.

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Beam Calculator Examples

Beam Calculator Example
Calculate steel beam capacity for a 16' span with 2,000 lbs/ft uniform load

Beam Properties:

  • Span: 16 feet
  • Size: W12×26 steel beam
  • Material: A992 steel (Fy = 50 ksi)
  • Load: 2,000 lbs/ft uniform

Calculation Steps:

  1. Calculate maximum moment: M = wL²/8 = 2,000×16²/8 = 64,000 lb-ft
  2. Find section modulus: S = 33.4 in³ (from steel manual)
  3. Calculate moment capacity: Mn = Fy×S = 50×33.4 = 1,670 kip-in
  4. Check safety factor: SF = 1,670/64 = 26.1 (adequate)

Result: W12×26 beam is adequate for the applied load

Safety factor of 26.1 exceeds minimum requirement of 1.67.

Concrete Beam Example

12" × 18" reinforced concrete beam

Moment capacity: 1,200 kip-ft

Wood Beam Example

2×12 Douglas Fir beam

Moment capacity: 180 kip-ft

Frequently Asked Questions

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