Beam Deflection
Calculate beam deflection
Input Parameters
Valid
Deflection
0.00 mm
Formula
δ (m) = (P × L³) / (48 × E × I)
Fill in the values on the left and click Calculate to see your result.
Formula
δ (m) = (P × L³) / (48 × E × I)
Deflection depends on load, span length, material modulus, and moment of inertia.
Assumptions
- Simply supported beam
- Point load at mid-span
- Linear elastic material
Step 1: Convert units
I = 50000 mm⁴ × 1e-12 = 5e-8 m⁴; E = 200 GPa × 1e9 = 2e11 Pa
Step 2: Apply formula
δ = (1000 × 3³) / (48 × 2e11 × 5e-8) = 0.05625 m = 56.25 mm
Frequently Asked Questions
What affects beam deflection?
Load, span, material properties, and moment of inertia.