Precisely calculate the slope and deflection of a cantilever beam subjected to a uniform distributed load. This online tool helps engineers and students quickly determine critical structural parameters, ensuring design accuracy and safety. Simply input the beam's properties and load to get instant results.
Formula:
The maximum slope (θmax) and deflection (Δmax) for a cantilever beam under a uniform load are given by the following formulas:
- Maximum Deflection (Δmax) = wL4 / (8EI)
- Maximum Slope (θmax) = wL3 / (6EI)
Where:
- w = Uniformly distributed load per unit length (e.g., N/m, kN/m, lb/ft)
- L = Length of the cantilever beam (e.g., m, ft, in)
- E = Modulus of Elasticity of the beam material (e.g., Pa, psi, GPa)
- I = Moment of Inertia of the beam's cross-section (e.g., m4, in4, mm4)