The Canadian Beam Design Calculator is a free online engineering tool designed to help structural engineers, civil engineers, students, and construction professionals quickly calculate the primary actions in a simply supported beam subjected to a uniformly distributed load (UDL).
Simply enter the beam span, dead load, and live load to automatically calculate the ultimate design load, support reactions, maximum bending moment, and maximum shear force. The calculator updates instantly as you type, making it ideal for preliminary structural analysis and educational use.
Note: This calculator performs beam action calculations only. Final reinforced concrete beam design should be completed in accordance with the applicable Canadian standards, such as CSA A23.3 for concrete structures and relevant loading standards.
Beam Actions, Flexure & Shear Calculator
NBCC 2020 ยท CSA A23.3:24 ยท Preliminary design
Beam Inputs
Live Results
Calculation Results
| Item | Result |
|---|---|
| Self-weight | |
| Permanent action D | |
| Ultimate UDL: 1.25D + 1.5L | |
| Maximum shear Vu = wuL/2 | |
| Maximum moment Mu = wuLยฒ/8 |
Flexural and Shear Reinforcement
| Design check | Result |
|---|---|
| Effective depth d | |
| CSA stress-block factors | |
| Required longitudinal steel As | |
| Suggested bottom bars | |
| Factored flexural resistance ฯMr | |
| Concrete shear resistance Vc | |
| Stirrup shear resistance Vs | |
| Total preliminary shear resistance Vr | |
| Required 2-legged 10M stirrup spacing |
Code Reference
NBCC 2020: ULS gravity combination 1.25D + 1.5L.
CSA A23.3:24: flexural and shear design. The shear calculation is a preliminary simplified normal-weight-concrete check using ฮฒ = 0.18, ฮธ = 35ยฐ, ฯc = 0.65, ฯs = 0.85, and two-legged 10M stirrups.
Final design must be checked by a licensed Canadian professional engineer, including all spacing, minimum reinforcement, shear-limit, detailing and serviceability requirements.
Features
- Automatic calculations
- Ultimate load calculation
- Support reaction calculation
- Maximum bending moment
- Maximum shear force
- Live step-by-step calculations
- Responsive design
- Mobile friendly
- Engineering calculator
- Educational tool
Calculator Inputs
- Beam Width (mm)
- Beam Depth (mm)
- Span Length (m)
- Dead Load (kN/m)
- Live Load (kN/m)
Calculator Outputs
- Ultimate Load
- Left Support Reaction
- Right Support Reaction
- Maximum Bending Moment
- Maximum Shear Force
- Detailed Calculation Steps
Formula Used
Ultimate Load
wu = 1.2DL + 1.5LLSupport Reaction
R = wu ร L / 2Maximum Bending Moment
M = wu ร Lยฒ / 8Maximum Shear Force
V = wu ร L / 2Applications
- Residential Buildings
- Commercial Buildings
- Industrial Structures
- Concrete Beam Analysis
- Steel Beam Analysis
- Educational Purposes
- Structural Engineering Calculations
- Preliminary Beam Design
Disclaimer
This calculator is intended for preliminary structural analysis and educational purposes only. It calculates beam actions such as load, support reactions, bending moment, and shear force. Final structural member design, reinforcement detailing, and compliance with CSA A23.3 and other applicable Canadian standards should be completed by a qualified structural engineer.
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