Construction

Beam Deflection Calculator

Find the center deflection of a simply-supported beam.

Point load (P) (N)

Span (L)

Young's modulus (E) (Pa)

Area moment (I) (m⁴)

Calculated Output

Deflection 0.5208

Deflection 0.0005

Formula: δ = P·L³ ÷ (48·E·I)

Step-by-Step Breakdown

1. Values used:

2. Point load (P) = 5,000 N

3. Span (L) = 1

4. Young's modulus (E) = 200,000,000,000 Pa

5. Area moment (I) = 0 m⁴

7. Deflection = 0.5208

8. Deflection = 0.0005

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The math behind it

δ = P × L³ ÷ (48 × E × I) for a central point load on simple supports.

5 kN, 3 m, steel (200 GPa), I 1e-6 → ~4.7 mm.

Distributed load?

Use δ = 5·w·L⁴ ÷ (384·E·I) for a uniform load.