Cantilever Beam Load at Free End Calculator
Easily determine deflection and slope when a cantilever beam is loaded at its free end. Common in balcony design and mechanical arm analysis.
Free End Load Cantilever Analysis
Cantilever Beam Load at Free End Formula
$$\text{Slope at free end} = \frac{P \cdot L^2}{2 \cdot E \cdot I}$$
$$\text{Deflection at any section} = \frac{P \cdot x^2 (3L – x)}{6 \cdot E \cdot I}$$
Use this tool when a load acts at the beam’s tip. Input force, beam length, and material properties to estimate structural deflection and design for strength.