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Beam Deflection Calculator

Inputs

Load Type

Select point load or uniformly distributed load

Load Magnitude(kN)

Total force for point load or force per unit length for distributed

Beam Length(m)

Total unsupported span of the beam

Second Moment of Inertia (I)(m⁴)

Geometric property of the cross-section resisting bending

Young's Modulus (E)(MPa)

Material stiffness property (200 GPa for steel, 30 GPa for concrete)

Load Position from Left Support(m)

Only for non-center point loads; leave as half span for center load

Maximum Deflection

—

Maximum downward deflection at mid-span or load point

Deflection Ratio

—

Beam Stiffness (EI)

—

Formula Type

—

Formula

Point Load (Center): δ = (P·L³)/(48·E·I) | Distributed: δ = (5·w·L⁴)/(384·E·I) | Point Load (Offset): δ = (P·a²·b²)/(3·E·I·L)