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Maximum moment in a beam with center load supported at both ends: = 0.016 in Beam Supported at Both Ends - Load at Center The maximum deflection can be calculated as The maximum stress in a "W 12 x 35" Steel Wide Flange beam, 100 inches long, moment of inertia 285 in 4, modulus of elasticity 29000000 psi, with uniform load 100 lb/in can be calculated as Y - Distance of extreme point off neutral axis (mm)Įxample - Beam with Uniform Load, Imperial Units = 2.98 mm Uniform Load Beam Calculator - Metric Units

The maximum deflection in the beam can be calculated The maximum stress in the beam can be calculated The height of the beam is 300 mm (the distance of the extreme point to the neutral axis is 150 mm). The moment of inertia for the beam is 8196 cm 4 (81960000 mm 4) and the modulus of elasticity for the steel used in the beam is 200 GPa (200000 N/mm 2). R = reaction force (N, lb) Example - Beam with Uniform Load, Metric UnitsĪ UB 305 x 127 x 42 beam with length 5000 mm carries a uniform load of 6 N/mm. For some applications beams must be stronger than required by maximum loads, to avoid unacceptable deflections. Note! - deflection is often the limiting factor in beam design.

Y max = distance to extreme point from neutral axis (m, mm, in) Σ max= maximum stress (Pa (N/m 2), N/mm 2, psi) L = length of beam (m, mm, in) Maximum StressĮquation 1 and 2a can be combined to express maximum stress in a beam with uniform load supported at both ends at distance L/2 as Q = uniform load per length unit of beam (N/m, N/mm, lb/in) The maximum moment is at the center of the beam at distance L/2 and can be expressed as The moment in a beam with uniform load supported at both ends in position x can be expressed as Beam Supported at Both Ends - Uniform Continuous Distributed Load The calculator below can be used to calculate maximum stress and deflection of beams with one single or uniform distributed loads. Beams - Fixed at Both Ends - Continuous and Point Loads.Beams - Fixed at One End and Supported at the Other - Continuous and Point Loads.Beams - Supported at Both Ends - Continuous and Point Loads.Y = distance to point from neutral axis (m, mm, in) The stress in a bending beam can be expressed as