Cantilever Beam with Load at Any Point Calculator
Find the slope and deflection of a cantilever beam loaded at an arbitrary point. Useful for irregular load cases in real-world structural applications.
Analyze Cantilever Deflection with Point Load
Cantilever Beam with Arbitrary Point Load Formula
$$\text{Deflection} = \frac{P \cdot x^2 (3a – x)}{6 \cdot E \cdot I}$$
$$\text{Deflection} = \frac{P \cdot a^2 (3x – a)}{6 \cdot E \cdot I}$$
Use this calculator when the load is not at the beam end. It supports any position a, letting you model scenarios like equipment mounted mid-span or external loads.