🏗️ Beam Load Calculator
Estimate the maximum bending moment, shear force, and deflection for a simply supported beam carrying a uniformly distributed load.
What This Calculator Does
For a simply supported beam (resting on two end supports) carrying a uniformly distributed load along its full length, this tool estimates the maximum bending moment, maximum shear force, and approximate mid-span deflection.
The Formulas
For a uniformly distributed load w over span L: maximum bending moment = wL²/8, occurring at mid-span, and maximum shear force = wL/2, occurring at the supports. Deflection is estimated with the standard formula δ = 5wL⁴ / (384EI), using the beam’s modulus of elasticity (E) and moment of inertia (I).
These are standard structural engineering formulas for a simple, uniformly loaded beam and are provided for general planning and educational purposes only. Real beams may have different support conditions, point loads, or load combinations — always have final structural designs reviewed and stamped by a licensed structural engineer.