Beam Load Calculator

Calculate bending moments, shear forces, and deflections for structural beams. Supports simply supported, cantilever, and fixed-end conditions with visual moment and shear diagrams.

Beam Configuration
Section Properties (Optional)

Steel: 200,000 MPa, Concrete: ~25,000 MPa

Required for deflection calculation

Max Moment

90.00

Max Shear

60.00

Deflection

16.88

Bending Moment Diagram

Positive moment = tension at bottom (sagging)

Shear Force Diagram

Positive shear = upward force on left of section

Support Reactions

Left Reaction (R₁)

60.00 kN

Right Reaction (R₂)

60.00 kN

Design Summary
Max Bending Moment90.00kN·m
Max Shear Force60.00kN
Max Deflection16.88mm

Notes:

  • Moments, shears and reactions only - this tool does not size or check a member. Section selection needs bending, shear, lateral-torsional buckling and deflection checks by a qualified engineer.
  • Cantilever and fixed-pinned: fixed support at the left end; point-load position measured from the left support
  • Verify with detailed structural calculations
  • Consider load combinations per applicable code
  • Deflection limit typically L/360 for floors, L/240 for roofs
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IMPORTANT DISCLAIMER

This calculator provides PRELIMINARY ESTIMATES ONLY and is intended for planning and budgeting purposes. Results should NOT be used for final structural design or construction without verification by a licensed Professional Engineer (PE) or Chartered Engineer (CEng).

By using this tool, you acknowledge that:

1. All calculations are indicative and may not account for site-specific conditions, load combinations, or local code requirements.

About This Calculator

The Beam Load Calculator helps structural engineers analyze and design beams for buildings and infrastructure across the UAE and Gulf. Calculate bending moments, shear forces, and deflections for various support conditions and load types. Essential for preliminary beam sizing, checking existing designs, and understanding load distribution in concrete and steel structures.

When to Use This Calculator

  • Preliminary sizing of reinforced concrete beams
  • Analyzing load effects for steel beam selection
  • Checking deflection limits against serviceability requirements
  • Understanding moment and shear distribution for complex loads
  • Verifying hand calculations before detailed analysis

How to Use This Calculator

1

Select Support Conditions

Choose beam type: simply supported, cantilever, fixed both ends, or fixed-pinned (propped cantilever).

2

Enter Beam Geometry

Input the span length and, optionally, the section's second moment of area (I) for deflection.

3

Define Loads

Enter a uniformly distributed load (UDL) or a single point load at mid-span or at any position.

4

Specify Material

Select material properties (E modulus) for deflection calculations.

5

View Results

Get maximum moment, shear, deflection, and visual diagrams for the beam.

Typical Scenarios in UAE & Gulf Projects

Residential Building Beam in Dubai

A 6m span floor beam carries 45 kN/m UDL from slabs and partitions. The calculator shows maximum moment 202.5 kNm at mid-span, maximum shear 135 kN at supports, and deflection of 12mm. Results guide selection of 300×600mm RC beam with appropriate reinforcement.

Industrial Warehouse Beam in Abu Dhabi

A 12m simply supported steel beam carries a 15 kN/m UDL. The calculator gives a 270 kNm maximum moment at mid-span and 90 kN reactions. The structural engineer then selects and checks the steel section (bending, shear, lateral-torsional buckling and deflection); the tool does not size the member.

Frequently Asked Questions

Common deflection limits: L/250 for general floors, L/360 for floors with brittle finishes, L/500 for beams supporting sensitive equipment, L/180 for cantilevers. UAE/Gulf projects typically follow ACI 318-19 or BS EN 1992 (Eurocode 2) limits. Total deflection including long-term creep must be checked.

For simply supported beams: Point load at center: M = PL/4. UDL: M = wL²/8. Point load at distance 'a' from support: M = Pa(L-a)/L at load point. Multiple loads: superimpose individual moments. Maximum shear typically at supports = R (reaction).

Typical span-to-depth ratios for preliminary design: Simply supported RC beam L/12 to L/15, Continuous RC beam L/15 to L/20, Steel beam L/20 to L/24, Cantilever L/6 to L/8. Deeper beams reduce deflection; shallower beams need more reinforcement. Gulf practice often uses L/10 for heavily loaded beams.

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Last Updated: January 2026

Standards Reference: Elastic beam formulas (moments, shears, reactions); member design per ACI 318-19 or BS EN 1992 by a qualified engineer

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