What is a Simply Supported Beam?
A simply supported beam is one of the most fundamental structures in civil and mechanical engineering. It consists of a rigid beam supported at both ends—typically by a pinned support at one end and a roller support at the other. This configuration allows the beam to undergo bending while preventing vertical displacement at the supports. Using our simply supported beam calculator online free, you can quickly determine the forces and stresses acting on these structures without manual calculus.
How to Use This Calculator
To use this tool effectively, follow these simple steps:
- Enter the Beam Length: Provide the total span of the beam in meters.
- Input the Point Load: Enter the magnitude of the concentrated force acting on the beam in kiloNewtons (kN).
- Specify Load Position: Input the distance from the left support to where the load is applied.
- Moment of Inertia: (Optional for reactions) Input the cross-sectional property (I) if you wish to calculate deflection.
- Click Calculate: The tool will instantly provide the reaction forces at both ends, the maximum bending moment, and the deflection point.
Key Engineering Formulas
The calculations are based on standard structural mechanics. For a point load P at distance a from the left support on a beam of length L:
- Reaction R1 (Left): R1 = P * (L - a) / L
- Reaction R2 (Right): R2 = P * a / L
- Max Bending Moment: M = (P * a * (L - a)) / L
Frequently Asked Questions
Can I use this for multiple loads? This specific version is designed for a single point load. For multiple loads, you can use the principle of superposition by calculating each load individually and summing the results.
Why is deflection important? In structural design, limiting deflection is critical to ensure the serviceability and safety of a structure, preventing cracks in finishes and maintaining structural integrity.