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Simply Supported Beam with Point Load at Any Location — Shear & Moment Diagram
This tool provides the shear and bending moment diagrams for a simply supported beam subjected to a single concentrated load located at any point along the span. The formulas automatically adjust based on the load position, showing the piecewise behaviour of shear and moment on either side of the applied force.
This scenario is common in real structures:
point loads from mechanical units
posts bearing on beams
transfer loads
equipment support loads
localized reactions from framing members
The diagram includes reaction equations, maximum shear values, and bending moment expressions for the left and right sides of the applied load. The model follows standard assumptions: pinned ends, linear-elastic response, and no rotational stiffness at supports.
Engineers use this case for quick sizing, verifying hand calculations, and validating finite-element or software-generated results.
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.