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Calculate reaction forces instantly with our easy-to-use Reaction Force Calculator. Get accurate results for beams, structures, and engineering problems.
A reaction force happens when something pushes against a support. Think of a book on a table. The book’s weight pushes down, but the table pushes back up. That upward force is a reaction force.
In structures like bridges and beams, reaction forces help balance the weight of loads. If they didn't, everything would collapse!
To find reaction forces, follow these steps:
The formula depends on the beam type and load distribution.
For a simply supported beam with a single point load (P) at the center:
Rₐ = Rᵦ = P / 2
Where:
For a uniformly distributed load (w) over beam length (L):
Rₐ = Rᵦ = wL / 2
If multiple loads exist, use these equilibrium rules:
Using our calculator is quick and easy:
Reaction forces aren’t the only thing that matters. You also need to check shear force and bending moment to ensure structural stability.
| Beam Type | Reaction Force Formula | Shear Force | Bending Moment |
|---|---|---|---|
| Simply Supported | Rₐ = Rᵦ = P / 2 | V = P / 2 | M = (P × x) / 2 |
| Cantilever | Rₐ = P | V = P | M = P × x |
| Uniform Load | Rₐ = Rᵦ = (w × L) / 2 | V = w × x | M = (w × x²) / 2 |
The Reaction Force Calculator makes physics easy. It saves time and helps with engineering, physics, and construction work. If you're designing a bridge, a house, or even testing a shelf's strength, this tool is a must-have!
A force that keeps structures in balance by pushing back against applied loads.
Use ΣF = 0 and ΣM = 0 equations to find them.
Engineers use AutoCAD, STAAD.Pro, and online beam calculators.
Yes! It works with point loads, distributed loads, and moments.