Beam Loading
Moment and deflection for simply supported beams.
Example
You enter
- Load type uniform
- Load value (lb/ft for uniform; lb for point) 200
- Span length (ft) 12
- Modulus of elasticity E (psi) 1600000
- Section width b (in) 5.5
- Section depth d (in) 9.5
You get
- Maximum moment 3600 lb*ft
- Maximum deflection 0.148 in
Details, formula, and sources
Simple-beam reactions / moment / deflection from load-type formulas (uniform, point, partial). M_max for uniform = wL²/8; deflection_max = 5wL⁴/(384 EI).
Classical mechanics of materials; AWC NDS-2018 design values for wood.
Mechanics-of-materials texts free at university OCW. AWC NDS free at awc.org.
Estimate. AHJ and licensed structural engineer govern.
Field names used by the API: load_type, load_value, length_ft, E_psi, b_in, d_in, M_lbft, delta_in
- Support condition simply supportedcalculation convention