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Simply Supported Beam with Uniform Load — Reactions, Shear, and Bending Moment Diagram
This tool shows the structural behaviour of a simply supported beam subjected to a uniformly distributed load (UDL). It provides the classic shear diagram, bending moment diagram, and the governing equations used throughout structural engineering. This is one of the most common loading scenarios encountered in building design — from floor joists and beams to roof members and platform framing.
For a deeper understanding of beam deflection fundamentals — including how load, length, stiffness, and moment of inertia influence deflection — visit our full article on stiffness vs strength.
Use this diagram to quickly recall maximum shear, maximum moment, load paths, and the location of critical sections. The formulas presented apply to beams with pinned ends and no moment restraint, assuming linear-elastic behaviour and small deflection theory.
Engineers use this model for preliminary design checks, estimating member sizes, comparing materials, and validating software output. While simple, it forms the foundation for more advanced beam and frame analysis.
If you want a deeper explanation of why beams deflect, how stiffness differs from strength, and how E × I controls structural performance, see our full guide: Understanding Stiffness vs Strength in Structural Engineering.
In residential renovations, the stiffness and depth requirements shown in these diagrams often govern whether an LVL beam is sufficient or a steel beam is required. For a practical explanation of how engineers decide between the two, see our guide on when a steel beam is required vs LVL in residential renovations.
Using These Values in a Real Project?
If you're using these values for:
- Structural design
- Load calculations
- Load bearing wall removal
These values should be verified within the context of your actual structure and site conditions.
We provide stamped structural assessments and calculations across Ontario, based on real conditions, not assumptions.
Assessments consider site conditions, structural configuration, and applicable design requirements specific to your project.
On-site consultation with a licensed professional engineer.
Site visits are typically available within 1–2 days.